diff --git "a/data/dm_maths/full_data_1/2449_11255.jsonl" "b/data/dm_maths/full_data_1/2449_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/2449_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is 25\/125*-50*2\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95 (base 15) in base 7?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 2*f**2\/11 - 172384*f\/11 - 62688 = 0.\nAnswer: -4, 86196","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 757656 by 51.\nAnswer: 14856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -8*g + 60. Let f be q(7). Suppose -5*k + 25 = 5*h, -2*h - 2*h + 24 = 2*k. Find the third derivative of 29*w**2 - h*w**f - 68 + 68 + 11*w**2 wrt w.\nAnswer: -168*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 8*v**2 - 20*v + 8. Let y(r) = 7*r**2 - 21*r + 7. What is -5*q(z) + 6*y(z)?\nAnswer: 2*z**2 - 26*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, j: 3, g: 4, a: 4, t: 1}. Give prob of sequence ojtj.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 48, 55, 62, 69, 76, 83?\n\"Answer: 7*w + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 40 = -4*s. Suppose 27*c - 29*c + s = 0. Suppose 4*v + 3*h - 1259 = 0, 0*v + c*h = 5*v - 1530. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/(-14) + 19878\/42 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of l**7\/14 + l**6\/5 - l**4\/2 - l**3\/2 + 5*l + 1. Let c(d) be the first derivative of t(d). Find o such that c(o) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 50 + 141633362?\nAnswer: 141633442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(441))\/sqrt(7).\nAnswer: 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -21. Let s be 84\/63*x\/(-8). What is the derivative of 9 - 239*o + 239*o - s*o**2 wrt o?\nAnswer: -6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17783 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*((-2975)\/(-4))\/85?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of o**6\/63 + 2*o**5\/105 - o**4\/42 - 2*o**3\/63 - 269. Find d, given that t(d) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(((-99)\/(-2))\/(-3)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7.09 + -7. Let q = w + -0.99. Let z = q - -1.1. Sort 1\/4, 0, z in descending order.\nAnswer: 1\/4, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**1*u*u*u)**(-34)*((u\/u**(-3)*u)\/u)\/u*u\/u**(-4\/7)*((u**1*u)**1)**(2\/17) assuming u is positive.\nAnswer: u**(-19658\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 - 3*h**2 + 5*h + 4. Let l be d(-4). Let k(j) = 7*j - 9*j + 4*j - 7*j**2. Let v(w) = 4*w**2 - w. Let o(m) = -3*k(m) - 5*v(m). Give o(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1770732.\nAnswer: 2, 3, 101, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*l**3 + 2*l**3 + 12*l + l**4 + l**2 - 5*l - 91*l - 124*l to j*l + k + c*l**4 + m*l**2 + h*l**3 and give j.\nAnswer: -208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -6*h**4 - 12*h**3 - 6*h**2 + 15*h + 9. Let u(z) = 7*z**4 + 12*z**3 + 5*z**2 - 16*z - 8. Let d(l) = -3*u(l) - 4*v(l). Factor d(i).\nAnswer: 3*(i - 1)*(i + 1)*(i + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 7519540?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2112)*1*-5)\/((-2*sqrt(15)\/sqrt(5) + sqrt(3) - sqrt(3))*4) + 5.\nAnswer: 5 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156*h = -184 - 199 - 709 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2471179286 to the nearest integer?\nAnswer: 1352","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 176 - -306?\nAnswer: 504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/715 and 58\/325.\nAnswer: 3575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a micrometer in nanometers?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.93 + 0.07. Let u = 2 + -2. Let t = -0.5 + -0.5. Sort p, t, u in descending order.\nAnswer: p, u, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 1 - 6)*(-17*h - 2*h - 19*h) + (-2 + 1 + 3)*(3 + h - 3) + (3*h - 5*h + h)*(1 + 1 - 1) as c + m*h and give m.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.92649558 rounded to 2 dps?\nAnswer: 2.93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 223 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**5\/d**(1\/6)*(d**1)**(24\/11)*(d**(-6)*d*d**(-6)\/d)**(-4\/11) assuming d is positive.\nAnswer: d**(751\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - -37) + (39 - (-845930)\/(-12441)).\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 29*i**3 - 17*i**2 - 76*i - 66. Let k(j) = -5*j**3 + 1. Let r(c) = -a(c) - 6*k(c). Find n, given that r(n) = 0.\nAnswer: -10, -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -50782*y**2. Let g(s) = -5*s**2. Give g(p(o)).\nAnswer: -12894057620*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(100) + sqrt(100)*-2)*4 - sqrt(100))\/(sqrt(320) - sqrt(320)*2*5).\nAnswer: 5*sqrt(5)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3*(-5)\/(-15)*-3 - 12\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -8 + (2 + 0 - -4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 588087 is divided by 17805.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + r - 25 = 0, r - 20 = -3*u - 0*r. Let o = u - 4. Let l = -3 - o. Put -5, 2\/7, l in decreasing order.\nAnswer: 2\/7, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) -2 (c) -7 (d) -4\/9 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5 and -0.183994430803.\nAnswer: 4.816005569197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 796269318?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-740)\/(-50) + -16)*(43\/(-5))\/(120\/(-1000))?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3123*i + 103347 - 3411 = 0 for i.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 502 + 500 - 1002 + 2*i**2.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/24 and 1\/60836.\nAnswer: 365016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 - 14*w**2 - 16*w + 18. Let i be m(15). Solve -3 - 6 = -3*b + i*h, -5*b + 15 = 3*h for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6\/13 (b) 4 (c) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p + 580 - 390 - 199.\nAnswer: -3*p - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 23*u = 0. Suppose -33*y + 32*y + 471 = u. List the prime factors of y.\nAnswer: 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -144809 divided by 5\nAnswer: -144809\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-9)\/2)\/(3\/(-4)). Let m = 9 - i. Solve -2*n + n - m = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-12))**(-34) assuming m is positive.\nAnswer: m**408","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millennium in months?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -28\/13*k**2 + 88\/13 - 2\/13*k**3 - 58\/13*k.\nAnswer: -2*(k - 1)*(k + 4)*(k + 11)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3954 = 21*p + 3975. Is -17\/66 at most as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2130 - 2313110?\nAnswer: -2310320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.5 - -3. Let y be (-6)\/(-10)*3\/9. Which is the nearest to y? (a) -2 (b) q (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 19589693, 39179385, 58769077?\n\"Answer: 19589692*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Is 1778178239 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -293035\/35061 - -326\/39. Which is bigger: r or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.34 + 0.16. Let t = 0.22 - j. Which is the biggest value? (a) 6 (b) 2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4558736954.09 plus -0.4?\nAnswer: -4558736954.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 736 = -i + b, 1465 = -2*i + 25*b - 22*b. Put -8, -1, i in increasing order.\nAnswer: i, -8, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 51*o. What is the hundreds digit of f(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -59*v**2. Let d(a) = 1 + 96*a**2 - 171*a**2 + 74*a**2. Determine d(m(p)).\nAnswer: -3481*p**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-6)\/16*-4*26\/3.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 - 18*m + 4. Determine s(-14).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (2 - -5) - -22.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25 - 17. Suppose -3*b + 4*b = -3*w - 4, 0 = -2*b - r. What is d in w + 2\/7*d + 4\/7*d**3 + 6\/7*d**2 = 0?\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-84)\/(-4 - -8) + 4. Let a = g - -21. Suppose 6 = a*w + r - 6, r - 2 = w. Solve -2*j + 24 = -w*h + 6*h, 5*j = -4*h + 30 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1))**(1\/2)\/(l*l**(-7)*l*l*l*l*l\/(l**(3\/8)\/l)))\/(l\/l**1*l**(-10\/3))**(-31) assuming l is positive.\nAnswer: l**(-2483\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, n: 1, a: 1, q: 1, x: 1, z: 1}. What is prob of sequence xfz?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 + x**3 + 93*x + 97*x - 178*x. Let b be d(0). Let p(l) be the third derivative of -l**5\/60 - 5*l**3\/6 - 2*l**2. Calculate p(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of -37*u**5\/60 + 8*u**2 - 3. Let y(m) be the second derivative of j(m). Let g(x) = -x. Give y(g(d)).\nAnswer: -37*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 1:54 AM?\nAnswer: 10:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9)\/(-15) + 1 + 8348\/20. Find the first derivative of 425 - 851 + n - 53*q**3 wrt q.\nAnswer: -159*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -4 - (-71 + 62)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - 6)*(-l + 2 - 2)*(-4*l**2 + 2*l**2 + 3*l**2) + 13*l**3 + 11*l**3 - 34*l**3 to the form p*l + u*l**2 + s*l**3 + j and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/11 in -1\/3, 14, -3\/5, -4.1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(2\/5))**(-3\/2))**(1\/12)*(n**(-1)*n**6*n)\/(n**(-6)*n*n**(1\/3)) assuming n is positive.\nAnswer: n**(637\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1 + -1.1. Which is the closest to 0? (a) d (b) 0 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1660*w + 1661*w - 4 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 153617?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jkxk when four letters picked without replacement from {k: 2, x: 4, j: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -14354 + 3?\nAnswer: -14351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.2 (b) 3 (c) -0.4 (d) -5 (e) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1801791 or -1801792?\nAnswer: -1801792","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*0.2291\nAnswer: -0.09164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a kilometer in meters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-146680)\/(-57))\/((-10)\/(-36)). Is o <= 9263?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -280098 divided by -351\nAnswer: 798","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g - 14. Let i be r(-9). What is the smallest common multiple of 1\/2*76\/2 and (-44)\/(-7) - i\/14?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yoo when three letters picked without replacement from yoiaiioooimiioaiyoo?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 f when three letters picked without replacement from {n: 10, f: 10}?\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, b: 1, i: 11, x: 3}. What is prob of picking 1 j and 1 i?\nAnswer: 44\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -87044, -87047, -87050, -87053?\n\"Answer: -3*o - 87041","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of -t**9\/1512 - t**8\/210 - t**7\/140 - 59*t**3\/3 - 161*t**2. Let z(i) be the first derivative of u(i). Factor z(n).\nAnswer: -2*n**3*(n + 1)*(n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29266.34 rounded to the nearest one thousand?\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.3 - -14.3. Let q = 13.9 - w. Let i = -0.5 + -0.5. What is the second smallest value in 0.4, q, i?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + 0*g + g**4)*(-5*g + 4*g + 2*g) - 3*g**5 + 2*g**5 + 2*g**5 + (-2*g**2 + 6*g**2 - 2*g**2)*(2*g**3 - 3*g**3 - g**3) - 2*g**5 + 4*g**5 - 3*g**5.\nAnswer: -3*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82253355 is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + 2)*2\/10. Let r = 73\/280 - -1\/40. Let z = -869 - -870. What is the closest to r in v, 0.1, z?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13\/95 or -14?\nAnswer: -13\/95","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2355 - 2323. Suppose -91 = -3*p + 35. Let t = p + x. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 568*g**4*q - 12*g*q**2 - 57202*q**2 wrt g?\nAnswer: 2272*g**3*q - 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 537470880 a multiple of 1776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 7 = 3*v, 5*o = -5*v - 12 - 18 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1818606*y**3 - y**2 - 347921*y - 1.\nAnswer: -10911636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 - (-8)\/(-18)*-3*-3. Let u(s) = 0*s + s + 13 - 2*s. Determine u(b).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/50 of a tonne?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*(29\/(-9) + 8\/36). Let x(n) = 25*n**2 + 2*n + 26. Let s(r) = -r. Let m(w) = t*x(w) - 6*s(w). Differentiate m(g) wrt g.\nAnswer: -150*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -c**4*p + 69*c*p - 85*p wrt c.\nAnswer: -4*c**3*p + 69*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 189145, 378125, 567119, 756133, 945173?\n\"Answer: s**3 + s**2 + 188970*s + 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 360391, 1441553, 3243445, 5766031, 9009275, 12973141, 17657593?\n\"Answer: -6*p**3 + 360401*p**2 + p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 388 is divided by 7*((-12)\/15)\/(84\/(-90))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 4350 + 4872 = 0. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/14)\/((-1792)\/257152)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*o = 19*o + 12. Let v be (3 + 0)\/(5\/25). Let j be ((-45 + -10)\/11)\/(-1). Solve -j*g - v = p + 2, -o*p - 3 = -g for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30002320 (base 4) to base 2\nAnswer: 1100000010111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-one quarters of a millennium in years?\nAnswer: 20250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 7:07 AM?\nAnswer: 12:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, e: 1, n: 1, l: 1, x: 1}. What is prob of sequence lxn?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4485*a + 4483*a. Which is smaller: a or 8\/677?\nAnswer: 8\/677","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1\/2)\/((-19)\/(-14478)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i**2 + 35*i - 21. Let o be v(16). Suppose -o*n + 22*n = -540. Does 12 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/((-4)\/6))\/(-6)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -10\/141, -5 in decreasing order.\nAnswer: 1, -10\/141, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.28487 minus -4?\nAnswer: -14.28487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -46965 + 939097\/20. Let z be ((-39)\/5)\/((-4)\/5). Let f = z + u. What is the nearest to -0.1 in -4, f, -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 + -8. Let f(g) = -8*g**2 + 33 + 3*g - g**l - 39 + 2*g**3. Calculate the remainder when f(8) is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r + 5. Let x be f(-7). Let v be x + (-12)\/(-2) + -1. Let a(u) = 3*u - 2. What are the prime factors of a(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -14*b + 976. Let k(s) = -9*s + 610. Let j(m) = -8*k(m) + 5*o(m). Let t(y) be the second derivative of -19*y**4\/12 - y**3\/6 + y. What is j(t(z))?\nAnswer: -38*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8353 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 217526\/346689 + -5\/11006. What is the common denominator of 17\/60 and q?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -w - 30 + 0*w**3 + 2*w + 6*w**3 + 0*w - 5*w**3 - w**4 in the form u*w**2 + c*w + z*w**4 + l*w**3 + t and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 + 3*n**2 - 34*n + 160. What is u(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 AM and 8:10 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*p + 22*p + 4*b - 17588, -b + 8791 = p. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-48)\/6 - 7*(-6)\/3. Solve b*a + 20 = 2*a - 4*f, -5*a - 19 = -f for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i - 36 = 3*i. Let f(x) be the first derivative of 0*x + 0*x**3 + 5\/2*x**2 - 3\/4*x**i - 2. What is the second derivative of f(s) wrt s?\nAnswer: -18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 282*p = -27492 + 26646 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k - 2*k + 2*k)*(k + 1 - 1 + (4 - 1 - 4)*(5*k - 2*k + 0*k))*(-2 + 0 + 1).\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -132384*g*h**3 + 77185*g*h**2 wrt h.\nAnswer: -794304*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 46 - 42. Suppose -f*d + 370 = -u, 0 = d - 2*d + 2*u + 89. List the prime factors of d.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -3*b**2 + 36*b - 78. What is the smallest common multiple of k(3) and 125?\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 232 is divided by 61?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (-23 - -19) - -17 - -7.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -145 - -29. Let p = -8 - u. Suppose -5*n + n = -p. Calculate the remainder when n is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2753580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 351 and 3.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 0.6 (c) 138 (d) 1\/4 (e) 0.1 (f) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wssfesxxs. Give prob of picking 2 s and 1 x.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -484*p + 101*p + 2664 = 61*p for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vs when two letters picked without replacement from kvvkkvvkkkskvskkkv.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12728 and 22.\nAnswer: 140008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-8) + (-9)\/4. Let h = -1 - l. Let j be (2\/(-3) - 0) + h. What is the smallest value in j, 3\/7, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -8 + 50. Let q = 10 + f. Suppose -4*y = d - 56, 2*d - y = 43 + q. Does 13 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -191 - -135.6. Let d = m - -58. Round d to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ptttjjuttpjtooptp. Give prob of picking 1 t and 2 o.\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1381341 + 12*k - 1381341.\nAnswer: 12*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 + 15 = -2*t. Calculate the common denominator of 46\/61 and (-1)\/t + (-10233)\/2970.\nAnswer: 671","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 595 + -578. Solve z = -r + 6*z - 22, 4*r - h = -z for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6.1 - -0.1. Let n = -6 + 3. Let d = j - n. Which is the closest to -1? (a) d (b) 1\/5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11934522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r**(3\/19))\/r)\/r**(3\/7) assuming r is positive.\nAnswer: r**(97\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 2*p = -84. Let j(s) = 2*s - 15. Let k be j(10). Calculate the remainder when p is divided by 10\/k - (0 + -4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 + 5*l**2 + 6. Let i(k) = -k - 3. Let b be i(-7). Suppose -3*o = -2*w - 2, -2*o - 1 = -w - b. Calculate t(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -7415, -29678, -66817, -118862, -185843, -267790?\n\"Answer: -5*m**3 - 7408*m**2 - 4*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -993813 (base 10) to base 6\nAnswer: -33144553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2952.36 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 628\/2149 + -2\/307. Which is the third biggest value? (a) -11 (b) -0.2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 4 = -2*t - 10, 0 = 5*o - t - 3. Solve 7*s + 7 + 0 = o for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27*k - 44 + 44)*(-k**2 + 5*k**2 - 2*k**2) + 13*k**2 - 13*k**2 + 3*k + 2*k**3.\nAnswer: 56*k**3 + 3*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -5, -1, -3617?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69 - (50 + (-22 - -19)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -195 - -324. Is d a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1255, 2467, 3679, 4891, 6103, 7315?\nAnswer: 8527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of -j**4\/4 + 10*j. Let a(o) = o**2. Give f(a(u)).\nAnswer: -3*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -190*q**3 - q*y - 25*y - 3 wrt q.\nAnswer: -570*q**2 - y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 42 = -60. Let g be z\/6 + 2\/6. Is 6 != g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 20*b**5 - 2652*b**4 + 107596*b**3 - 1232196*b**2 + 659376*b + 467856 = 0. What is b?\nAnswer: -2\/5, 1, 18, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**0\/g)**(5\/4)*(g*g**1)**(13\/5))**(-1\/11) assuming g is positive.\nAnswer: g**(-26\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21 + 48. Let v = u + -22. Find the second derivative of 13*j**v - 8 + 9*j + 10 - 2 wrt j.\nAnswer: 260*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {q: 4, c: 7, u: 2}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (73*i**2 - 29*i**2 + 205*i**2)*(-4*i - 3*i - 3*i) + 0 + i**3 + 0 + (3*i - 3*i + i**2)*(i + 2*i - i) + i**3 - 3*i**3 + i**3.\nAnswer: -2488*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 47 - 53 = 0. Suppose -4*w - 2*k = -t, 0 = -5*k - 4 - 6. Suppose w*b = 3*b + 9. Is b a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 11*x - 3. Let h be v(2). Suppose -5*z + 4 - h = 0. Calculate the least common multiple of 34 - (z\/(-1) - (1 + 1)) and 18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 5 + 11 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 91 (c) -2\/7 (d) -159\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*w + 2 - 2 - w - 5*w + 4*w + 6*w - 2*w - 2*w + (3*w + 2*w - 3*w)*(-6 + 4 + 3) - 12755*w + 25498*w - 12745*w + 3264.\nAnswer: 3*w + 3264","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 79441543 to the nearest integer?\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(2\/3))\/w)**22\/(w**(1\/2)*w)**(-1\/4)*((w*w**(2\/13))\/w)\/(w\/(w\/(w\/(w*w**(1\/4)))*w))*(w*w*w**(-4)*w)\/w**1 assuming w is positive.\nAnswer: w**(4507\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16.5 - 16. Let k = n + 0.5. What is the second smallest value in -0.01, 0.1, k?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94*d**2 - 96*d**2 + 192*d**2.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 817 <= 818?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 - 8*z - 4. Let s be d(-7). Suppose -5*k + s*u + 329 = 0, 0 = -k - 3*u - u + 52. Calculate the greatest common factor of 16 and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 AM and 3:56 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 36 - (-5 + 4) - 8. Calculate the greatest common factor of z and 319.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4409 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -519*v + 920 + 3232. Determine q, given that -v*q - 6*q**2 + 40\/3 + 2\/3*q**3 = 0.\nAnswer: -2, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/8 + (-105)\/(-20). Suppose -2*n = z - 8, -5*n + 13 + 17 = h*z. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -158 - -118. Let y = 60 + n. Solve -3*u = 2*u - y for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 2*t = 2*q - 15, 0 = -3*q - 4*t + 15. Suppose 0 = -q*m + 4*m - 3. Is m bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 32 - 481 - 421 - y**5 + (y - 2*y**2 - y)*(0*y + 0*y + 2*y**3).\nAnswer: -5*y**5 - 870","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -786 + 1027. Calculate the greatest common divisor of 1 and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**4 + 5*v - 12*v**3 + 4*v - 69*v**2 - 9 + 3*v + 75*v**2.\nAnswer: 3*(v - 3)*(v - 1)**2*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9479005?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/7110458 or 0?\nAnswer: -1\/7110458","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b**3 - 5*b**3 + 12*b**3.\nAnswer: 7*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -280411, -280374, -280267, -280054, -279699, -279166, -278419, -277422?\nAnswer: -276139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1248*n + 1247*n + 30*n**3 - 2495*n.\nAnswer: 30*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 128729, 128660, 128471, 128102, 127493, 126584, 125315?\nAnswer: 123626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21928 is divided by 23?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4411062219 + -4.5?\nAnswer: -4411062223.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 39888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**3 - 828*x**2 + 1677*x + 2502.\nAnswer: -3*(x - 3)*(x + 1)*(x + 278)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 17\/9 - (-5)\/45. Solve r - 6 = -s*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 379 a factor of 333212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 320307.\nAnswer: 3, 13, 43, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4a (base 11) in base 16?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18051 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 2*j + 4 = 11, 3*j = -5*d - 1. Let g be ((16\/18)\/8)\/((-2)\/(-42)). Find a, given that -d + g*a**2 + 7\/3*a - a**3 = 0.\nAnswer: -1, 1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2056\/17 - 150904\/1241. Let g = -34629 + 277097\/8. What is the common denominator of g and c?\nAnswer: 584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41, -68, -3, -5, -1, 1 in increasing order.\nAnswer: -68, -5, -3, -1, 1, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -358187531\/4227 + 84738. Is 1 less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20681 + -22490\nAnswer: -1809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*o + 48 = 72*o. Let i(s) be the second derivative of -1\/12*s**o + 10*s + 0 + 1\/2*s**2 - 2\/3*s**3. Give i(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -25167 + -2?\nAnswer: -25169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f - 12. Let d be h(-6). Let j(t) = -t**2 - 7*t + 5. What is the units digit of j(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - v - q - 12*q = 75, -3*v = 270*q - 273*q + 90 for v.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -4*w - 2*w + 7*w - 11. Let g be b(8). Let a(c) be the third derivative of c**5\/30 + c**4\/24 + c**3\/3 - 70*c**2. Give a(g).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z**2 - z**3 + 0*z**2 + (-3*z**2 + z**2 + 3*z**2)*(0 - z + 0) + 67*z - 72*z**3 - 67*z.\nAnswer: -74*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 151600 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 - a - 2. Let o be u(4). Suppose 0 = -l + 3*l - o. Find t such that -4*t**3 + 3*t**4 + t**4 + t**3 - t**l + t**2 - t**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 15 = f + 19, -3*f = w + 12 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 5*m, 3*n + 3*m + 3*m = 42 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 7*p - 4. Let d(x) be the third derivative of 1\/3*x**4 + 0 + 30*x**2 + 0*x - 5\/6*x**3. Calculate 6*c(b) - 5*d(b).\nAnswer: 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*x + 38*x - 41*x.\nAnswer: -7*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1304, -1299, -1292, -1283?\nAnswer: -1272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dy when two letters picked without replacement from dodopty?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 36272 not equal to 254?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 48029762 a multiple of 1712?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 101371935, 202743867, 304115799, 405487731?\n\"Answer: 101371932*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3654 = -175*k + k for k.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -3519*v. Let k(i) = 95*i**2 - 9*i + 2. Determine k(a(o)).\nAnswer: 1176419295*o**2 + 31671*o + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 + 14*v**2 + 2*v - 28. Let p be k(14). Suppose -160 = -5*f + t + 39, -4*f - t + 161 = p. What is the greatest common divisor of 40 and f?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2121213 + 31?\nAnswer: -2121122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 4*h - 123 = -f, 2*f - 3*h - 83 = 0. Let a be (14\/(-4))\/(3\/(-6)). Let s = f - a. Is 10 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -90228, -360805, -811726, -1442991, -2254600, -3246553, -4418850?\n\"Answer: -90172*g**2 - 61*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 6468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -11*a**2 - 8*a - 6. Let b be n(-8). Let m = -370 - b. What are the prime factors of m?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 - 8*i - 1. Let k(m) = 312*m**2 - 10*m - 2. Determine k(v) - o(v).\nAnswer: 313*v**2 - 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 - 6*s + 4. Let g be w(-5). Suppose x + g = 27. Let n = -115 - -123. Calculate the least common multiple of n and x.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q**2 - 3*q + 6. Let l(t) = -13 - 4*t**2 - 4*t - 18 + 18 + 10*t. Give 13*h(p) + 6*l(p).\nAnswer: 2*p**2 - 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2800 divided by 175?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s**3 + 5*s**2 + 3*s + 4. Let z be r(-2). Let f be (-15 - -21)*z\/2. Let m(v) = 22*v - 18. List the prime factors of m(f).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47620571 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/6*-5)\/(((-6785)\/(-552))\/59)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116714.\nAnswer: 2, 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*j + 2*j - 9*j.\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -46194639, -92389277, -138583917, -184778559, -230973203?\n\"Answer: -k**2 - 46194635*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-2 + 6 + -3)*-2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 954973497.\nAnswer: 3, 19, 16753921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of f**9\/15120 - f**5\/120 - f**4\/8 + 3*f**2. Let p(w) be the second derivative of a(w). Find the first derivative of p(u) wrt u.\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4*7 + 2\/(-1). Let m = 152 - 35. What is the greatest common factor of m and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/74 and -181\/13986?\nAnswer: 13986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.4 + 0.4. Let p = -19 + 26. Let k = 7.5 - p. Which is the second smallest value? (a) k (b) 0.2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-3\/10)\/j)\/j*j*j\/j**(-8\/11))\/(j\/((j*j**(1\/3)\/j)\/j))**49 assuming j is positive.\nAnswer: j**(-26809\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2976454 a multiple of 107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27048514?\nAnswer: 2, 19, 523, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/180579 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -446442666 by 3.\nAnswer: -148814222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32 - (19 - (6 + -5)) - -12.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -86622\/25081?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h - 2. Let c be t(-6). Let b(d) be the third derivative of -d**4\/24 + 2*d**3\/3 + d**2 - 228*d. Give b(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 3*p + 195, 0 = h - 0*p + 3*p + 71. Let g = h + 67. Suppose g*w - 2*w = 57. What are the prime factors of w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 2 t when four letters picked without replacement from {t: 5, y: 7}.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 5 - 1)*(0*w + 2*w + 0*w - 4 + w + 4 + (0 - 1 + 2)*(3*w - 5*w + 4*w)) as x*w + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3651.7 + 3651. Which is the closest to -1\/4? (a) w (b) -2\/7 (c) -314\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -29*i**6 + 6*i**2 + 11*i**6 - 2*i**2 wrt i?\nAnswer: -2160*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1136854130 to the nearest one million.\nAnswer: -1137000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 114282599 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 8. Suppose 2*v - 4*v = 156. Let u be v\/(-5) - 9\/15. Solve -r + c = f, 5*r - 2*r - 3*f = u for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9536 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 3*a**2 + 2*a + 7. Let n be l(5). Let x = n + -60. Solve 5*p + x = -3*o, 0*o + p = o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yr when two letters picked without replacement from {r: 3, x: 3, y: 2}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 3*j - 8 = 0. Let l = j - 5. Which is the smallest value? (a) 4\/5 (b) 1 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 - 12*g - 72. Let o be n(-6). Solve 0 = -33*c + o*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*s + 4 - 43. What is the derivative of 28*g**3 - g**3 + 13 - 14*g**s wrt g?\nAnswer: 39*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(-1)*((-11)\/(-11))\/((-18)\/6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aqallrjarrr. Give prob of sequence ra.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -5*d + 63. Give a(10).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o**2 - 3*o - 3. Give i(4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 184*p + 4024. Give w(-22).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 19 - 3 = 0. Suppose m*c + 3*i - 1 = 11, -c = -4*i - 22. Suppose -2 = -l, -3*f = -c*f - 2*l + 265. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 - 6*b - b + b + b + (-2*b + b + 3*b)*(3 + 2 - 4).\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2320, 2425, 2548, 2689, 2848?\n\"Answer: 9*c**2 + 78*c + 2233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*(-3)\/(-2)*1. Let j be n + 1 + (-4)\/2. Suppose -3*q + 0*q + j = 4*d, 0 = -4*q + d + 28. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttttt. What is prob of picking 3 t?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b + 531 = 531. Let l(g) be the second derivative of 7\/6*g**3 - 1\/3*g**4 + 0 + 7*g + b*g**2. Find the second derivative of l(k) wrt k.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1074598, 1074599, 1074600, 1074601?\n\"Answer: c + 1074597","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/61096632 and 25\/96?\nAnswer: 244386528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x + 104*x**3 + 6*x - 7*x - 88*x**3.\nAnswer: 16*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = 8*l + j - 20, 0 = l - j for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-5 + (sqrt(192) - 1*sqrt(192))) - (1 + -3 + sqrt(192))*-1)**2.\nAnswer: -432*sqrt(3) + 921","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -3*c**3 - 3*c**2 + 45*c + 45. Let u be m(-1). Solve u = 655*g - 654*g - 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fui when three letters picked without replacement from hikkthhfikhkukikkf.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 4*t + 2*b, 5*t + 0 = 3*b + 8. Let z(g) = g**3 - 4*g**2 + g - 1. What is the units digit of z(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 6\/5, -5.1, 0.4, -1\/3?\nAnswer: -5.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -2*q**3\/11 - 330618*q**2\/11 - 13665020400*q\/11 - 122958405000\/11 = 0?\nAnswer: -82650, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of -g**6\/360 + g**5\/120 + 7*g**4\/24 - 2*g**3\/3 + 7*g**2\/2 - 83*g. Let n(w) be the second derivative of k(w). What is n(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 4*v, -5*j + 5*v = -1 - 19. Suppose 4*p = 2*p - 3*r + j, 2*r = -p - 1. Suppose -3 = -5*z + p. Solve -3*n - 3*a - 24 = 0, z*n + n = -a - 16 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 93 - 94. Let z be (11\/(-165))\/((n\/6)\/1). Which is the biggest value? (a) z (b) -1.1 (c) -5 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 49 + -45. Suppose -3*w - n*k = -39, 28 = 2*w + 2*k - 0*k. Solve 2*c - 3*u + 13 = 0, -c = c + 3*u - w for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42)\/(-8)*((-780)\/45)\/(-13).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(22)\/sqrt(11) + -6*(sqrt(12)\/sqrt(6) - sqrt(2)))**2.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 132*m**3 + 2*m**2 - 2*m. What is the lowest common multiple of 22 and i(1)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6378 to the power of 1\/2, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (2*sqrt(864))\/sqrt(2) + ((sqrt(21) - sqrt(3024)*-2) + sqrt(21))\/(sqrt(56)\/sqrt(2)).\nAnswer: 5 + 37*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7844613926\/603 + 13009307. Let f = u + -60\/67. Calculate the common denominator of 25\/(-9) + 12\/6 and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 188, 339, 538, 809, 1176?\n\"Answer: 4*v**3 + 123*v + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*h + 59*c - 18 = 61*c, 3*h - 3*c - 27 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 7, i: 2, h: 3}. Give prob of sequence ii.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-22) - (30\/(-20))\/3?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 3*j**2. Let n(d) = d - 1. Let g(i) = 5*i - 6. Let c be (-1 - -6)*(2 - 0). Let z = c + -4. Let r(k) = z*n(k) - g(k). Determine p(r(t)).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 828 - 539. What are the prime factors of t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 179.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 - 9\/(-1))\/2. Let v be 4*-1 - (i - 10). Find the first derivative of 4*x**2 + 2*x**2 + v + 7 + 0 wrt x.\nAnswer: 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 148576066?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/3*(-1899)\/6 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1211 + 2102?\nAnswer: 3313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18840226 to the nearest integer?\nAnswer: 4341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3428, -6857, -10286, -13715, -17144, -20573?\n\"Answer: -3429*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**3 - 45*d**2 + 50*d.\nAnswer: -5*d*(d - 1)*(d + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**6*i*i)\/((i*i**(2\/17))\/i*i))\/((i**13\/i*i)\/(i*i*i\/i**(-1\/2)*i*i*i)) assuming i is positive.\nAnswer: i**(13\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31146620?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*j**3 + 2*j**2*m**3 + 42*j**2 + 103*m**3 wrt j.\nAnswer: -6*j**2 + 4*j*m**3 + 84*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*x - 10*x + 4*m - 26, -4*m = -20. Let h(o) = -o**3 - 6*o**2 + 6*o - 6. Let y(r) = r**3 + 7*r**2 - 7*r + 7. What is x*y(j) - 7*h(j)?\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 6 - 6 - 5 - 3 + j. Let q be n(10). Solve -4*z - q + 14 = 2*k, 5*k - 2 = -3*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 125621, 251280, 376945, 502616, 628293, 753976?\n\"Answer: 3*y**2 + 125650*y - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -43 - 24 + 91 - 49 + 4*g in the form r*g + d and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1278490999483*s - 3*s**3 + 1278490999483*s.\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 8) to base 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -76 + 14. Let t = -16 - a. Calculate the remainder when -135*(-4 + 0 - -3) is divided by t.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(20)*4 - 2*(-1 + sqrt(5)) - (sqrt(125) - 5*(sqrt(125) + 1))) + 2 + 1 + sqrt(1620) + -1)**2.\nAnswer: 792*sqrt(5) + 9761","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -53, -135, -253, -407?\nAnswer: -597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in eighteen fifths of a milligram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3127313?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 360801498?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -96.2 - -5.2. Let n = -92 - i. Which is the closest to n? (a) -4\/3 (b) 0 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 55277883 + -5.\nAnswer: 55277878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 9:52 PM?\nAnswer: 1:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -306*j**3 - 8*j**2 - 925*j - 4. Let n(o) = -316*o**3 - 10*o**2 - 924*o - 5. Let y(m) = 5*i(m) - 4*n(m). What is the second derivative of y(x) wrt x?\nAnswer: -1596*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 - 16*x**2 - 5. Let a = 1440 - 1424. Calculate v(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1648*d + 16243 = 860*d + 136627 for d.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5798, 1 in decreasing order.\nAnswer: 5798, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 16241 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 79.2237 microseconds in minutes?\nAnswer: 0.000001320395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of -7*o**3 + 11*o**2\/2 + 5331*o. Determine w(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13192, 4, 0, -0.5, 0.2.\nAnswer: -0.5, 0, 0.2, 4, 13192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 8*r - 6. Let w(b) = b - 1. Let a(x) = n(x) - 12*w(x). Suppose 2*i - 5*m + 25 = -10, -i = -4*m + 25. Let g = -1 - i. Give a(g).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.4736 - 4.57. Let v = n + 0.098. What is v rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*4*((sqrt(847) + sqrt(847) + 5)*-4*-4 + 0))**2.\nAnswer: 22528000*sqrt(7) + 349491200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5095.\nAnswer: 5, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*t + 0)*(2*t**4 - t**4 - 3*t**4) + 7791*t - 13*t**5 - 7791*t.\nAnswer: -17*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.1, 3, -4, -0.4, -1\/40?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 108 and 4560.\nAnswer: 41040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -17\/9?\nAnswer: -17\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 21*((-39)\/9 - -4). Let g(h) = 4*h - 3 + 0*h - h**3 - 6*h**2 - 4. Is 14 a factor of g(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19962 divided by -2218\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**4\/3 - 329*p**3\/3 + 8530*p**2\/3 + 17000*p.\nAnswer: p*(p - 300)*(p - 34)*(p + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11120 by 16.\nAnswer: 695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of c**4*k - 2*c**3*k**2 - 413*c**3*k - c**3 - c**2*k**2 + 222*c*k**2 - 248*c*k wrt c.\nAnswer: 24*c*k - 12*k**2 - 2478*k - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 101, -1, -3, 3.\nAnswer: -3, -1, 3, 101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 236608610?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 58 and 7453?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 1 + 0)*(5*w - 3*w - 4*w)*(2*w + 2*w - 3*w) to k*w**2 + d*w + g and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7145771 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 114 = u, -2*u + 3*a + 158 = -49. Suppose 5*g - 3*k - u = 0, 2*g = -3*g - 4*k + 136. Is g a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 divided by -8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80957.\nAnswer: 73, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.4 + 0.3. Let r = 0.46 + -0.06. Put 0.2, r, d in increasing order.\nAnswer: d, 0.2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-564)\/7 + -17 + (8 - (-424)\/56)?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 511223717?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52353 divided by -27.\nAnswer: -1939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.41 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - 1. Let f be 8 + -10 + (-2 - s). Solve f*l + 15 = 4*i - 2*l, -i - l + 6 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 2*l = 3*q - 1957, 0 = -5*l - 20. Let g be q + (-6)\/(-1 - -3). Round g to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -8*p**2 + 18*p. Calculate t(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 597602?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 5, 5\/8, -26, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -m + 3*y - 4, 2 = m + y for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 19, 0.2, -156\/17, 0.3 in decreasing order.\nAnswer: 19, 3, 0.3, 0.2, -156\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-594)\/693)\/((75\/(-14))\/5)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -2. Let o be x + 31 + (4 - 1). Suppose -o = -3*q + v, 3*v + 4 = -q + 11. Solve 0 = -4*m + 3*d - 20, -2*d - q = 5*m - 3*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/10, 119, 2\/11, -4 in increasing order.\nAnswer: -4, -3\/10, 2\/11, 119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125*i + 125*i + i**2.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -663913, -1327753, -1991519, -2655211?\n\"Answer: 37*f**2 - 663951*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0027 - -991350.\nAnswer: 991349.9973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 212150?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -4. What is the second derivative of 5*t - 2*t**c + 2*t**2 + t**3 - 2*t wrt t?\nAnswer: 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-145)\/2)\/((-16)\/(-160)). Let n = p + 724. Which is the smallest value? (a) -0.5 (b) -5\/6 (c) 0.5 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5324 is divided by 1063.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -215*s - 89 + 278 - 97 - 92 to the form r + q*s and give q.\nAnswer: -215","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*b**4 + 17199*b**2 - 12*b + 60209.\nAnswer: -24*b**2 + 34398","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/4 of a hour in minutes?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-6 - -3)\/((-2)\/54)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 - 2\/(-4)*-98. Suppose 192 = -3*c + c + 2*g, 264 = -3*c - 5*g. Let k = j - c. Does 24 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 462?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 + -2)*(-2)\/(-4). Let t(c) be the first derivative of c**2 - 1. What is t(d)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 95397, 95376, 95355, 95334?\n\"Answer: -21*u + 95418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - 1. Let r(c) be the first derivative of c**3\/3 + c**2 + 2*c + 4. Determine r(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-126)\/(-2079))\/(1\/121).\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of -4*s**2 + 5*s - 1. What is the derivative of c(t) wrt t?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2105.\nAnswer: 5, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4511*a*y**3 - 2*a*y**2 + 5*a*y + 20*a - 409*y**3 - 3*y**2 + 4*y - 94 wrt y?\nAnswer: 27066*a - 2454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*l*p**2 - 11848*l*q**3 - 69*p**2*q**3 + p**2*q - 76*q**3 wrt l?\nAnswer: 3*p**2 - 11848*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*v - 8033 - 11126. Is v a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-2) - 28\/(-8). What is the smallest value in 2\/9, 5, f?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (255693\/(-2) + -8)\/(6\/(-12)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.6597 take away -421026?\nAnswer: 421028.6597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -11, -32, -73, -140, -239, -376, -557?\nAnswer: -788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -977*a**3 + 963*a wrt a?\nAnswer: -5862*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.35 - 0.05. Let f = 35908\/21 - 11967\/7. Let i = 0.01 - 0.019. What is the closest to -1 in f, o, i?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 6*m - 21 = 0. Let h(t) be the first derivative of 141 - m*t**4 - 4*t**4 - 104 + 21*t**2. What is the second derivative of h(s) wrt s?\nAnswer: -168*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8 and 35\/22919153?\nAnswer: 22919153","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1226216, 1226211, 1226206, 1226201?\nAnswer: 1226196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10106, -10100, -10084, -10052, -9998, -9916?\nAnswer: -9800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 3 = -1. Let h(w) = 0*w + 7*w - l - 4. Let o(v) = -3*v + 2. Let i(f) = -4*h(f) - 10*o(f). Let g(r) = -18*r. Calculate g(i(p)).\nAnswer: -36*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 3*i + 177, i = -4*k - 3*i - 628. Let x = k + 328. Find the third derivative of 166*l - l**2 - 21*l**6 - x*l wrt l.\nAnswer: -2520*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3756887 and 47.17.\nAnswer: 3756934.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 550 divided by -55.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4066\/13 or -314?\nAnswer: -314","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/71 or 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7012885?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 263 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1e8 (base 16) to base 15.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.177641214 to four dps.\nAnswer: 0.1776","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 156 - 4 = 0. Suppose -s - 1 = 2*r - 15, -o = -4*r - 5*s. Suppose 4*y - 306 = w - 297, 6*w = 3*y + 93. Solve -a + 0 = r*g + w, 0 = -3*a + 3 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t**3 + 64188*t**2 - 64188*t**2 - 6.\nAnswer: -3*t**3 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 10 + -3 - (-4 - -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 + 2*o - 25. Let f be s(8). Which is smaller: -1 or f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -270499, -13.\nAnswer: -270499, -13, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/(c**(-3\/4)\/c))*c)**(3\/11)\/(c**(4\/3)*c*c**(-3\/2)*c) assuming c is positive.\nAnswer: c**(-269\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9\/2*12\/9. Let w(p) = p**3 + 7*p**2 + 3*p + 19. Let t be w(-7). Let l be (t - 64\/n)\/(42\/(-315)). Calculate the highest common factor of 38 and l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fifty-one quarters of a tonne?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21758*d + 1486698 + 119970 + 1467644 = 245772 for d.\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/455554 and -41\/331312.\nAnswer: 3644432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 197, 180, 163, 146?\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -4*q**3 - q**2 - 3. Let f(s) = -7*s**3 - 3*s**2 - 5. Let v = -199 - -204. Determine v*w(t) - 3*f(t).\nAnswer: t**3 + 4*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of 0*m**3 + 0*m**6 + 11\/56*m**8 + 1\/3*m**4 - 18*m + 0*m**7 + 0*m**5 + 0 + 0*m**2. Find the third derivative of z(o) wrt o.\nAnswer: 1320*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w - 5. Calculate h(10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(286)\/(sqrt(33)\/sqrt(3)))\/sqrt(2).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -7. Suppose -i = -w, p + 3*w = 4*p - 57. Is 11 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*v - 4*d - 308, -6*v + 0*v - d - 8*d - 959 = -287 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of p**6\/6 + 13*p**4\/12 + 6*p. What is the third derivative of j(n) wrt n?\nAnswer: 120*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-h**2 + 3*h - 3*h)*(882 - 882 + 526*h) + (0*h**2 + h**2 - 3*h**2)*(-5*h + h + 2*h) + 1 + 2*h**3 - 1 as u*h + z + f*h**3 + i*h**2 and give f.\nAnswer: -520","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 PM and 7:23 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5318 divided by 279.\nAnswer: 5318\/279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + g - 166 = -4*r, -4*g - r + 217 = 0. Let k(i) = -i**3 + 11*i**2 + 2*i + 11. Let j be k(11). Let v = g - j. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1647659\/9 - 183073. Let 0 - 2\/3*t**2 + r*t**3 + 4\/9*t = 0. Calculate t.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 8 = -4*q + 8*q, -2*n + 3 = 5*q. Suppose n*v - 3*b + 39 = v, -31 = 2*v - 3*b. Let a = v - -20. Is a a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*d**2*k + d**2 + 2*d*k**2 - 9*d + k**2 - 88*k + 1 wrt k.\nAnswer: 2*d**2 + 4*d*k + 2*k - 88","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d - 5 + 13 + 2*d. Let b be s(-8). Let n = -11 - b. Solve -n*q = -4*v - 12, 10*q - 5*q = -2*v + 24 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = -8*n + 31*n + 130 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, 49, 90, 147, 226, 333, 474?\nAnswer: 655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*((h*h**(-3\/4))\/h*h*h*h)\/h)**19)**(-32)\/((h**(-1\/3)\/h)**(2\/57)*(h*h**(-8)\/h)\/(h*h**(-3\/2))) assuming h is positive.\nAnswer: h**(-465275\/342)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-34)\/4)\/(3\/(-6)). Let h be ((-5)\/6)\/((-13)\/78). Suppose -h*i + 0*i = -85. Calculate the greatest common factor of s and i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 PM and 9:39 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of -d**5\/20 + 5*d**4\/6 - 7*d**2\/2 + 7*d. Let u be w(10). Let j(a) = -9*a + 3. What are the prime factors of j(u)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 3*n**2. Let o(z) = 4*z**3 - 3*z**2 + 4*z - 3. Let w be o(1). Let q(c) be the first derivative of 0*c**w - 1 + 2\/3*c**3 + 0*c. What is q(d(y))?\nAnswer: 18*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 5:34 PM?\nAnswer: 8:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*u**2 + 2*u - 84*u**3 - 5*u**2.\nAnswer: -84*u**3 + 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1182438 to the nearest integer?\nAnswer: 1087","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n + 2. Let u(q) be the first derivative of -2*q**2 + 5*q - 15. Suppose 5*y + g = -0*y + 10, -3*g = y + 12. What is y*u(c) - 7*v(c)?\nAnswer: 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 939*c + 9812*c**2 - 1918*c + 979*c to the form b*c + x*c**2 + d and give x.\nAnswer: 9812","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/7, 1\/7, -10, -4, 2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 7*q + 2. Let z be f(3). Suppose 8 = -3*s + z. Solve 5*d = -t - 3*t - 10, s*t + 4*d + 8 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 6526 = 4*p, 35*w - 34*w + 8163 = 5*p. What is the thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by 47\nAnswer: 9\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*f**2 + 0*f**2 + 0*f**2)*(3 - 5 + 0)*(21709 - 44454 + 14266) in the form r + z*f**2 + w*f and give z.\nAnswer: -33916","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 58*v**2 + 3*v + 3. Let n(z) = -175*z**2 - 12*z - 10. Calculate 7*c(p) + 2*n(p).\nAnswer: 56*p**2 - 3*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -53, -129, -249, -425, -669?\nAnswer: -993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 2)*(4*h**4 + 2*h**4 - 3*h**4) - 3*h + 7*h**2 - 7*h**2 + 3*h**4 to j + c*h**2 + a*h**3 + t*h + m*h**4 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -403435178 - -26874.\nAnswer: -403408304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1075 + -1071. Solve r + 0*r + 5 = y, -15 = p*r + y for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i**3\/5 - 1424940*i**2 + 113994624*i\/5 - 455977728\/5 = 0 for i.\nAnswer: 8, 2374884","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -82*y**3\/9 + 730*y**2\/9 - 536*y\/3 = 0.\nAnswer: 0, 4, 201\/41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -4*t - 5. Let r be q(-4). Suppose -r = 3*f + 2*f + 2*s, -7 = 5*f + 4*s. What is the tens digit of ((-1530)\/9)\/(2 - (-9)\/f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 g when two letters picked without replacement from {g: 4, c: 7, o: 6}.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1761821 and 21.\nAnswer: -1761800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -4*n + 13. Let z be 3*(-1 - 15\/(-9)). Suppose -3*x - z*x + 240 = 0. Calculate the remainder when x is divided by a(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -4*u + 1. Let b(n) = 3*n - 4*n - 2*n - 1. Let a(p) = 10 + 3 - 14. Let q(c) = -2*a(c) + b(c). What is -6*q(v) + 5*y(v)?\nAnswer: -2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1092 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - 20360425?\nAnswer: -20360420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (81 - 73) + 13 + -12?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -12*w - 1. Let g be 4\/(-28) - (-8)\/7. Calculate b(g).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-275)\/750 - (0 + (-4)\/24).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103464551 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 46904, 0, -2, -16 in decreasing order.\nAnswer: 46904, 0, -2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.7 or 48\/5?\nAnswer: 48\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 - 12*d**2 - 12*d - 10. Suppose 9*s + 52 = -47. Let k be m(s). Let a = 23 - k. What is the lowest common multiple of a and 26?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -347 + 741. Calculate the remainder when v is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5177*j**3 + 2589*j**3 + 2587*j**3.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of r**4\/2 + 2*r**3\/3 + 2*r**2 - 2*r - 1536. Let h(b) = 3*b**3 + 5*b**2 + 7*b - 5. Calculate 2*h(p) - 5*k(p).\nAnswer: -4*p**3 - 6*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = w + 11, 4*l - 252*w + 250*w + 18 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1661009470, 1661009468, 1661009466, 1661009464?\nAnswer: 1661009462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -5*s**4\/4 + 5*s**3\/2 - 5*s\/2 + 5\/4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-2\/35))\/(o\/o**(11\/4)))\/(o**3*o*(o*o\/o**(1\/2))\/o) assuming o is positive.\nAnswer: o**(-237\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 439 is divided by 56.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*b + 1891*b**2 + 8 - 3779*b**2 + 1885*b**2 to the form c*b + g*b**2 + u and give c.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/3 (b) -0.69 (c) -3 (d) 0.3 (e) -558\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 0. Suppose -w*z + 15 = 3*v, -3*v + 31 - 13 = 4*z. Find the second derivative of 0*p**4 + v*p**5 - 4*p**5 + 0*p**4 - 2*p wrt p.\nAnswer: -40*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.06, -448, 2316.\nAnswer: -448, 0.06, 2316","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7612)\/(-1384)*1368\/99?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 - j**2 - 2*j - 6. Let t be s(-4). Suppose 5*b - t = 5*z, 4*b = -4*z + 6 + 2. Calculate the greatest common factor of b and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.8 + -8.2. Let k = t - -14. Sort 2, -1, k in decreasing order.\nAnswer: k, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 117499\/332373 + 15\/9634. Let i = 1\/46 - a. What is the nearest to -1 in i, -0.2, 5, -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*c - 13*c - 221 + 32 = 0 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 2*a = -12, -3*a = 3*q. Suppose -2*t + 333 = q*c - 393, -3*t = -5*c - 1070. What are the prime factors of t?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gkcbvkhgcvgh. Give prob of sequence bk.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 62, 3 in decreasing order.\nAnswer: 62, 3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24295 + 692207 = 8*y. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.5916263 rounded to one dp?\nAnswer: -8.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -809 + 942 = -19*i for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 10*f. Let s(a) = a - 7. Let i(l) = -l + 6. Let g(q) = -7*i(q) - 6*s(q). Let w(r) = 6*g(r) - z(r). Let h(x) = 6*x + x - 2*x. Determine w(h(o)).\nAnswer: -20*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1526632069 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 AM and 8:37 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.215 and -16996.59214.\nAnswer: -16996.80714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2189*c + 256. Is v(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1110793 is divided by 3267?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let w be -3*(-2 + 0 + 0). Let f = w + -4. Factor -2*g**3 + f*g**4 - 1\/2*g**5 + 5\/2*g - g**2 - 1.\nAnswer: -(g - 2)*(g - 1)**3*(g + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32374.286 days in weeks?\nAnswer: 4624.898","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (4 - 47 - (-3 - -2 - 7))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 389922928?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 PM and 7:30 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2.6551 (b) 41\/4 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (180\/(-150))\/((-3594)\/3590 + 1)?\nAnswer: 3, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -118, -479, -1082, -1933, -3038, -4403, -6034, -7937?\nAnswer: -10118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (1 + -2 + 1) - -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 1:18 PM?\nAnswer: 1:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-37)\/1)\/((-2)\/6). Suppose 7*v + 195 = 4*v + 3*g, 3*v + 5*g = -211. Let y = v + t. What are the prime factors of y?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 61440 and 1752.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 4*l**3 + 6*l**2 - l + 2. Let f(n) = 7*n**3 + 12*n**2 - 2*n + 3. Let k(m) = -5*d(m) + 3*f(m). What is the lowest common multiple of k(-6) and 9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -741*k**4 - 3803*k**3 + 9998999*k**2.\nAnswer: -17784*k - 22818","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 717217973 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16421 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 149290811770600.8999874 + -149290879703445. Let y = 67932858 + p. Let q = y + -13.9. Round q to six dps.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/9377 (b) 1 (c) 5 (d) 0.3 (e) 1\/3 (f) -707\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 - 5*f**2 - 5*f - 7. Let t be g(6). Which is smaller: t or -6\/91?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d - 11. Let n = -4 - 7. Let j be f(n). Suppose -4*b - b + 15 = j. Solve -2*z = t + 2*t + 2, -2*t - b = z for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 790 is divided by 66.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 218 = 48*n - 70. What is the third derivative of -5*c**4 + 3*c**4 - 6*c**4 - c**n + 9*c**4 + 64*c**2 wrt c?\nAnswer: -120*c**3 + 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 99, 100, 103, 108?\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 799409257 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, y: 2, o: 4}. Give prob of sequence yeye.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -104525.0381 to the nearest 1000.\nAnswer: -105000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28890 and 2700.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 + q - 1. Let l(r) = 2*r**2 + 17*r - 4. Let f = -11 + 10. Let x(u) = f*l(u) + 5*s(u). Is 13 a factor of x(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 + 11*v**2 + v - 25. Determine d(-11).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4011 is divided by 1275?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 344\/72 - (-36)\/162?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -3*q. Let p be g(-1). What is t in 3*t**2 - p - 2*t + t + t = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*d - 55808 = -233168. Let s = 155081\/14 + d. Find the common denominator of s and -79\/80.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 40470324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + 2. Let y be i(0). Suppose -y*d + 0*n = -5*n + 91, d = -2*n - 41. List the prime factors of (-3 - (2 + d)) + -3.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of 41*a**2 + 39*a - 219. Let n be v(-1). Is n less than -87\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wokvwvfvkffko. Give prob of picking 2 w and 1 o.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1958)\/(-10) + (-1)\/(-5). Let x = -583 + 587. What is the highest common divisor of q and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9245958697 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -553, -4283, -14409, -34129, -66641, -115143?\nAnswer: -182833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -436.711 - -180656.\nAnswer: 180219.289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3.941779mm?\nAnswer: 0.3941779","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 12 = -136169*c + 136166*c, -3*c = 2*q - 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -127.\nAnswer: -5\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -441 - -880. Let h = -627 + v. Let r = h + 505. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 89535295 from 111.\nAnswer: -89535184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 1576187000 to the nearest one million.\nAnswer: 1576000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -245*t + 42634. Give w(174).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 4*t**3 + 2*t**2 + 87*t + 12. Let b(f) = -f**3 - f**2 - 2. Let x(z) = -6*b(z) - s(z). What is the second derivative of x(p) wrt p?\nAnswer: 12*p + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 61*q**2 - q. Let s be f(1). Suppose 0*m = -4*m + s. Let y = m - 15. Sort 2, -4, y in decreasing order.\nAnswer: 2, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -25, -u + 24 = -5*a - 1. Suppose 0*n + 3*n = u. Suppose -5*s + 9 + 11 = 0. Solve s = -n*h - h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 220701, 883432, 1987983, 3534354, 5522545?\n\"Answer: 220910*s**2 + s - 210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 112190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a millisecond in microseconds?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7983, -6297, -3479, 477, 5577?\nAnswer: 11827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 AM and 11:21 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (112\/(-8))\/((-2)\/5). Find the common denominator of -39\/4 and (-10)\/l + 292\/(-154).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 821*b**3*l**3 - 2*b**3*l + 12*b**2*l**3*v - 3*b**2*l**2*v - 1628*l**2*v wrt l.\nAnswer: 4926*b**3 + 72*b**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 + 8. Let u = -0.045 + -7.985. Let r = j - u. Round r to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 + 9*t - 5. Let w be k(8). Suppose w*f + 6 - 3 = 0. Let u be (f - (-5)\/3)*-1. Which is the second biggest value? (a) -3 (b) u (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*u**2*z**3 - 6*u**2*z**2 - u*z**3 - 8 wrt u?\nAnswer: 16*z**3 - 12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 747754 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -184.8 times 3\nAnswer: -554.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*r**5 - r**3 + 399*r**2?\nAnswer: 720*r**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1188*0.4\nAnswer: 475.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/9078 and -53\/27234.\nAnswer: 27234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -2*m - 2*c + 34, 5*c = -m - 7. Solve 3*a + 2*a + 40 = -5*s, -4*a + 2*s - m = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -146 and -5.5627.\nAnswer: -151.5627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b = -3*b. Let f be (-1)\/4 + 1 - 0. Let n = 43\/36 - f. What is the closest to b in n, 0.4, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 50 + -46. Suppose -6*u - 1267 = -8*u + 3*c, -t*u = -5*c - 2535. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((128\/40)\/(-8))\/((-4)\/40).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1500 divided by 300?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1 and 564?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 6 = 0, 2*y - y - 12 = -4*w. Suppose y = -n, -n = 4*q + n - 216. Suppose 3*v - 3 = q. Does 8 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*n + 8 = -12*n. Suppose -4*s + 6 + 6 = 0. Solve -j + 5*w = 2*j - 35, 4*j - n = -s*w for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2861146999.5 - -0.15484.\nAnswer: -2861146999.34516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 102446351 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - 5 + 5)*(-22*i**2 + i + 22*i**2 + i**4 + 2).\nAnswer: i**5 + i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -37 + 15*o + 18 + 24 + o**2. What is the units digit of j(8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/2)\/(330\/(-440))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 12*y**2 + 183*y + 3. Give s(-16).\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30*(-3)\/(-9)*(-20)\/3*105\/70.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 5*d**2 + 182*d + 259. Calculate the remainder when 2350 is divided by u(-35).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155 = 3*v + 2*v. Suppose 3*i - 4*b - v = 0, -3 = -3*i - 0*b - 3*b. Let y = 40 - 33. Calculate the remainder when y is divided by i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*y = 28*y - 448. Calculate the greatest common factor of 272 and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/((8 - -1*15\/(-2)) + -2).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21 - 22. Which is greater: -6 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 11 + 19 = u, -u + 2 = -5*r. Let w = -15 + u. Let s(g) = -g**2 + 6*g + 10. List the prime factors of s(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 5*f = 15 + 25, 1595*o - 2*f + 24 = 1598*o for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -22*x**5 - 128*x**5 - 31*x**5 + (x - 2*x**3 - x)*(x**2 - x**2 - 2*x**2).\nAnswer: -177*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + s = -27, 0 = -2*s - 1 - 5. Let x be -4*(-2 - 2\/(-4)). Let h be (-16)\/n - 2\/x. Put 5, h, -1 in decreasing order.\nAnswer: 5, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12.8 + 1.8. Let m = u - -18. Let a = m + -12. Sort -2\/7, -1, a in decreasing order.\nAnswer: -2\/7, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3373?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 + 1. Let q(w) be the second derivative of 2*w**4\/3 - 25*w**2 - 9928*w. Give -q(y) + 6*r(y).\nAnswer: -2*y**2 + 56","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -8, -86, -224, -428, -704, -1058, -1496, -2024?\n\"Answer: -x**3 - 24*x**2 + x + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*l + 0*l - 2*l)*(-l**2 - 3*l**2 + 3*l**2)*(28*l + 18*l - 16*l) in the form f*l**3 + z*l**4 + h*l**2 + a + b*l and give z.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/395 and 52\/5.\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27417 and 102454517.\nAnswer: 703","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kh when two letters picked without replacement from {h: 13, k: 6}?\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -200 divided by 9438\nAnswer: -100\/4719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 506932 * 3\nAnswer: 1520796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - -1) + (2 - (8 + -8))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 9*w + 304. Let u = -31 - w. Let b be (-256)\/(-6 + 2) - 1. What is the greatest common factor of u and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30791 - 29507 + 11*a**2 - 14*a**2 + 60298.\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 18, -4, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 27 - 51 = -2*v, 889 = z + 89*v for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 14104 + 14114 = -2*x, 0 + 6 = 5*l + x for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1083 = -84*m - 411. Put m, -1\/7, -4, 3 in increasing order.\nAnswer: -4, -1\/7, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of 0*c**3 + 0*c**4 + 4*c**2 - 1\/660*c**6 + 0*c + 0 + 1\/165*c**5. Determine k so that i(k) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + 1)\/(8 + (-1001)\/56 + 10)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49270874 to the power of 1\/3, to the nearest integer?\nAnswer: 367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/52 and 11\/2009822.\nAnswer: 52255372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1\/4)\/h)\/h*h**(4\/3)*h)\/((h*(h\/(h**(4\/7)*h))\/h)\/(h**(-8)*h)) assuming h is positive.\nAnswer: h**(-533\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -240*q - 953*q = -176*q + 38633 - 125078 for q.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -3*u - 4. Let p(w) = -1726*w + 21. Calculate 5*k(h) + p(h).\nAnswer: -1741*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-1408)\/2560)\/(8\/160)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 - 10. Let o = 5 + x. Which is bigger: o or 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n + 0 + 0)*(-5*n + 0*n + 3*n) + 4*n**2 - n**2 - 2*n**2 + 4 - 4 + n**2 + 2*n**2 - n**2 + 0*n**2 - 40025*n + 39978*n - 19*n**2 - 5*n**2.\nAnswer: -25*n**2 - 47*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 493829 and 46373?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10141 is divided by 3314?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/106 and 25\/8?\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/8*x**3 - 1\/8*x**2 + 0 + 0*x = 0 for x.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 4. Let f = a + -0.9. Let i = -0.10064 + f. Round i to 4 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*x**3 - 526*x**2 + 1119*x wrt x.\nAnswer: -12*x - 1052","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 18528910?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4070)\/(-296)*10\/55*60\/2?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19*g**3 + 82*g**2 + 1659*g**3 + 370*g**3 - 81*g**2 + 294*g wrt g.\nAnswer: 12060","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9476*z**3 - 2*z**2 + 18 wrt z.\nAnswer: -56856","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 8*f**4 - 1\/3*f**5 - 39*f**3 + 338\/3*f**2 + 0*f.\nAnswer: -f**2*(f - 2)*(f + 13)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 46 = -5*a - 4, 30 = 5*a - 5*o. Let u be 270\/14 - a\/28. Solve 0 = -j - 5*y - 0*y + u, 17 = -5*j + 3*y for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30431.1mm to nanometers.\nAnswer: 30431100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.9 + -2.91. Which is the closest to -3\/5? (a) l (b) -3\/2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3985645?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.03, 2071, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1271 is divided by 33?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 121*g**3 + 2*g**2 - g - 1. Let y be m(3). Suppose y - 1082 = 3*b. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10.7 + -10.8. What is the third biggest value in -1, -0.029, s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 3*n + 31244 = 0, 5*k - 5*n = 202507 - 46327. Is 109 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 159 - 31 = 0. Suppose 2*m + 4*d - 68 = 0, z = 3*m + 3*d - 4. Calculate the greatest common factor of m and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 187645 (base 12) to base 3.\nAnswer: 210201201222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 147545655\nAnswer: -1\/49181885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2459992568 and 176.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2013 - -552?\nAnswer: -1021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 150 and 5669025?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6445, -13125, -19805?\nAnswer: -26485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -7*m**2 - 2*m + 9. Suppose 3*r = -0*r + 12. Let p(k) be the first derivative of -k**3 + 4*k - 1\/2*k**2 + 7. Give r*f(o) - 9*p(o).\nAnswer: -o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 - 4*z. Let q be r(-2). Let g(s) = 7*s - 9. Let v be 1 + -1 - (-8)\/2. Let j(a) = v - a + 0 - 2*a. Give q*g(k) + 9*j(k).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**3*n)\/n*n**(-47) assuming n is positive.\nAnswer: n**(-44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 2 e, and 1 k when four letters picked without replacement from oeeecooekoeoeqc.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 0*h**2 - 2*h - 2*h**2 + 522 - 438 = 0.\nAnswer: -7, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a1 - -1?\nAnswer: -a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 3*h + 16. Let d = 0.5 - 2.5. What is the second biggest value in d, -2\/7, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1416 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 4*m**2 + 6*m + 1. Let n be d(-4). What is the greatest common factor of n and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -24*g**3 - 10*g**2 - 14*g - 225. What is the tens digit of n(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 763958048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1909649 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -732 + 297?\nAnswer: -435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.8 - 423427583973?\nAnswer: -423427583962.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 792488623 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/sqrt(6)*6 - sqrt(14))\/sqrt(7).\nAnswer: 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 2*o + 2*c - 50 = 0, -5*o + c + 59 = 0. Let r(s) = 8*s**2 - 9*s**2 + 109*s + 82*s - 6 - 178*s. Calculate r(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -544.322083+-0.23\nAnswer: -544.552083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of 2273*i**8\/336 - 1355*i**4\/12 + i**3\/3 + 6140*i**2. Find the second derivative of o(d) wrt d.\nAnswer: 45460*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 6. Let f = 20 + -25. Which is the second smallest value? (a) 1\/4 (b) f (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -710 divided by 8\nAnswer: -355\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -847209, -1694418, -2541627, -3388836?\n\"Answer: -847209*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 - a + 2. Let r be y(-3). Let v = 265\/96 - -53\/32. What is the common denominator of v and 557\/(-14) - (-4)\/r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of 5*y**6\/12 + 27*y**5\/10 + 21*y**4\/4 + 7*y**3\/3 - 15*y**2\/4 - 9*y\/2 + 731. What is u in g(u) = 0?\nAnswer: -3, -1, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2000 + 479\nAnswer: 2479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -209*v**2 + 209*v**2 + 1834*v**3.\nAnswer: 1834*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 + 683*m**2 + 1361*m - 1328. What is j(-681)?\nAnswer: -647","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.102 + 0.1695. Let k = m - 0.066. What is k rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -49 - -52. Suppose -q*x = 15, 71 = i + 3*i - 3*x. Suppose -i*s + 6 = -12*s. Solve 3*w + 4*m + 8 = 0, -w - s*m - 8 = 3 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32964*s - 2 - 7 - 32974*s - 5 + 1.\nAnswer: -10*s - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8*9\/54)\/(12\/(-18))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w = w + 60. What is the lowest common multiple of w and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 544 - 547. Let r(m) = m**3 + 5*m**2 - 6*m - 4. Let f be r(-6). Sort f, 4, -0.1, d in increasing order.\nAnswer: f, d, -0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f - 3. Let x(p) = p. Calculate u(i) + 3*x(i).\nAnswer: i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (60\/35)\/(10\/(-14) + 1). Let n be (-45)\/p*(-3 + 1). What are the prime factors of (234\/n)\/(6\/45)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 4*i + 550 = 0, -2*s - 4*i + 248 = -0*s. Let a(p) = -s + 6*p + 114 - 3*p. Is a(8) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -805, -948, -1, 12.\nAnswer: -948, -805, -1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 5*c + 5*o = -25, 5*c - 2*o + 4 = 0. Is c\/(-3) + 1320\/18 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -17*n + 134. Let g(x) = -235*x + 1875. Let m(w) = 4*g(w) - 55*k(w). Let o be m(25). Solve -3*j - 2*j = c + 22, o*j + 25 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 240, 487, 734, 981, 1228, 1475?\nAnswer: 1722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 1\/11, -0.3, 2\/19, -71, 0.7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 5*v = 10. Let s(y) = 2*y**2 - 3*y**2 - y**2 + 3*y**v. Let m(p) = -3*p. Determine s(m(f)).\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 divided by 62682?\nAnswer: 4\/10447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2\/2 + 222*g - 441\/2.\nAnswer: -3*(g - 147)*(g - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of -x**6\/15 - x**4\/2 + 10*x**3\/3 - 3*x**2\/2 - x - 57. What is the second derivative of j(r) wrt r?\nAnswer: -24*r**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 1)*(-88*j - 387*j + 1710*j)*(3*j**3 + 0*j + 0*j).\nAnswer: 7410*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 9 from 5607.\nAnswer: 5598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 - 21*o**2 - 197*o + 28. What is w(28)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10366 and 781?\nAnswer: 114026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98597 is divided by 50.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*p - 50 + 50)*(p**2 - 7*p**2 + 2*p**2).\nAnswer: 56*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 7496039 to the nearest ten thousand.\nAnswer: 7500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*k + o - 23, 17*o = 12455*k - 12455*k + 7*o + 170 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19 + 29. Calculate the remainder when t is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*k**5 - 15*k + 15*k + (k**2 - 4*k + 4*k)*(5*k**2 - 4*k**3 - 5*k**2).\nAnswer: -12*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -3 + (sqrt(2448) - (1 + sqrt(2448) + -2)) + -3 + -4)**2.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36 and 5628.\nAnswer: 16884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f - 2*f - 3*f)*(0 + 0 + 2*f**2) + 4*f + 2*f**3 - 4*f + (-f**3 + f**3 + 5*f**3)*(17 + 40 - 30).\nAnswer: 133*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 208 and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(20) - sqrt(80)).\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of 0*x + 1\/4*x**5 + 1 - 5\/24*x**4 - 3*x**2 - 1\/3*x**3. Find the second derivative of h(c) wrt c.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 63207?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h - 1. Let o(x) = -7*x - 15. Let l(j) = -6*i(j) + o(j). Suppose -28 = 2*k + 2*c, 3*k + 6 = c - 24. Let t be l(k). Solve -t*y = -3*y - 2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 178*n**3 + 178*n + 178. Let f(q) = q + 1. Give -178*f(b) + v(b).\nAnswer: 178*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -712, -1272, -1546, -1390, -660, 788, 3098?\nAnswer: 6414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -347, -433, -343, -71, 389, 1043, 1897, 2957?\n\"Answer: s**3 + 82*s**2 - 339*s - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 34*q = 56. Solve -2*x + 22 = j + q*j, j - 14 = -2*x for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 5028*k - 5031*k + 2, -2*k = 5*g - 16. Let 1\/4 - 3\/8*r - 1\/8*r**2 - 1\/8*r**g + 3\/8*r**3 = 0. What is r?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 + 15*v**2 - 17*v + 1. Let r(n) = 2*n + 37. Calculate the remainder when b(-16) is divided by r(-14).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/4*((-76)\/(-6) + -14)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (((-1908)\/(-30))\/((-3)\/(-10)))\/2?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j - 66905 = -12284. What is the hundreds digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23585932, 47171868, 70757804?\nAnswer: 94343740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -0.013.\nAnswer: -0.0065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 252 + -223. Let d(m) = -m**2 + m + 29. Let j be d(0). Calculate the highest common divisor of j and o.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -6*g - 6. Suppose -v = -3*v - m - 42, 5*v + 96 = 2*m. Let q be a(v). Let h = -112 + q. What is the smallest value in h, -0.03, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zcz when three letters picked without replacement from czczcczczzzcczzz?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 447.8145cm in kilometers?\nAnswer: 0.004478145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -343 - -329.1. Let g = l + 14. Which is the third biggest value? (a) -0.1 (b) 0 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/37? (a) 0.5 (b) 27 (c) -4\/5 (d) -10 (e) -4\/15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.12 (b) 2 (c) -1\/5 (d) -45 (e) -0.3 (f) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*k + 616 = 47*k for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3781 + 3779 - 60*b - 96*b + (2 - 2 + 1)*(2*b + b - 2*b) + 3*b + 0*b - b to v + l*b and give l.\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*z - 23 = -5*v - 6*z, v - 5*z = 43 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and 119439224?\nAnswer: 836074568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*f - 10*f + 4 - 2)*(2*f - 2*f + f) + (3*f - f - f)*(-11*f + 10*f + 18*f).\nAnswer: 2*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 AM and 6:43 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 3*q - 1589 = 0, 2*l - 2*q - 1504 = 1674. Suppose 2*g - c = 793, 0*c + l = 4*g + c. Is g a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 - 9. Solve 2*g + 12 = m*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1069447 (base 12) to base 13.\nAnswer: 856165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjejsjhssjszsjjjsj. What is prob of picking 1 j and 1 s?\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5154671051 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g + 5*g = 2429. Suppose 2*k + k = -3*b + 2184, b - 1454 = -2*k. Let c = g + k. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -3*w**3 + 2*w - 2. Let u be (0 - -2)\/((-4)\/(-10)). Let t = 417 - 415. Let l(x) = 0 - 1 + 6 + 7*x**3 - x**2 - 5*x. What is t*l(v) + u*s(v)?\nAnswer: -v**3 - 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5076 and 6264.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 9 = -3. Let i = 228.9 + -229. What is the third smallest value in i, s, -3\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 1:10 PM?\nAnswer: 7:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2070 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 221\/9, 2, -11\/3, 5, 0.03 in descending order.\nAnswer: 221\/9, 5, 2, 0.03, -3, -11\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3739042?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/((h*h**(2\/9))\/h))**(-27)*((h\/h**(-2\/7))\/h)**(6\/13) assuming h is positive.\nAnswer: h**(-1899\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 902 = -15*m. Find the second derivative of -3*q**2 + 24*q**4 + 5*q**2 - 12*q - 24*q - m*q**4 wrt q.\nAnswer: -696*q**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1109562?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 64 + -60. Suppose n*r + 0*r - 4*g - 92 = 0, -4*g = -2*r + 48. Calculate the greatest common divisor of 66 and r.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 PM and 6:47 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 320 = -5*o. Factor -200 + 390 + 8*g**3 + 2*g**4 - 222 - o*g.\nAnswer: 2*(g - 2)*(g + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vtov when four letters picked without replacement from oovvoovvto.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of z**3\/3 - 2*z**2 + 4*z - 4. Let a be g(4). Suppose m = -m + l + 21, 2*m + a*l = 16. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.4 - -0.7. Let a = -0.11 + -3.39. Let d = 3 + a. What is the second smallest value in m, 1\/2, d?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -4*p - 2. Calculate i(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 78284412 to the nearest integer?\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 13946439841 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 50 and 28 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 10453 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 62 divided by 48344\nAnswer: 31\/24172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114*o**2 - 61*o**2 + 2 + 6*o**2.\nAnswer: -169*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6562252, -6562249, -6562238, -6562213, -6562168, -6562097, -6561994, -6561853?\nAnswer: -6561668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 90 + -6. Suppose 4*j = 2*v + 280, 0*v - o = -j + 4*v. Suppose -2*s - x = 2*s - j, 0 = s + 3*x - 28. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 279842?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -72 + 93 - (19 - -73).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -5*c**4 - c**3 + c**2. Let h(r) = 398*r**6 - 30*r**4 - 6*r**3 + 16*r**2 - 11. Let n(b) = 6*d(b) - h(b). Find the third derivative of n(g) wrt g.\nAnswer: -47760*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) 2512 (c) -7 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.1 - 0.6. Let l = -7.791 + 0.091. Let o = -8 - l. What is the nearest to 1 in o, v, -2\/13?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -11\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, -1\/17, 0, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8901192 + 106875689\/12. Let v = 15264 - 10153. Let t = c - v. Find the common denominator of t and 35\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - ((-81)\/(-12) - 0). Let y = l + 25\/4. Sort -1, 3\/35, y.\nAnswer: -1, y, 3\/35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/6006 and -123\/145418?\nAnswer: 4798794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + 720?\nAnswer: 721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1184\/29833?\nAnswer: 1184\/29833","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -2*l + 1. Let m = l + 4. Calculate the remainder when 9 is divided by m.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of 0*q**7 + 0*q**3 - 5*q**2 + 0*q**6 + 0*q**4 - 5\/336*q**8 + 1\/60*q**5 + 0 + 0*q. Find the third derivative of x(r) wrt r.\nAnswer: -300*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 4. Let i = -1.2 - -1.6. What is the second biggest value in -6, i, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1115 + -1087. Suppose 5*q = -0*q + 50. What is the remainder when h is divided by q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g - 2 = -16. Suppose -c = 3*v - 0*v + 7, 0 = 4*c + 4*v + 12. Sort 5, g, -6, c in descending order.\nAnswer: 5, g, c, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12464 - 12464. Let p = -43 - -117. Sort l, p, -5 in decreasing order.\nAnswer: p, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -4.898, 5?\nAnswer: -4.898","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-32487)\/72 - (-6)\/(-8). Let m = 1342\/3 + a. Let t = 4987\/6 + -833. What is the common denominator of t and m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w**2 - 4936*w**3 + 4926*w**3 + 3*w**2.\nAnswer: -10*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of 180.1 and -18.\nAnswer: 162.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + -112?\nAnswer: -10c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 229607?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 35715 (base 16) in base 14?\nAnswer: 59abb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 508 + -510. Let t = 2.2 + 1. Let v = 2.7 - t. What is the smallest value in v, a, 1\/4, 4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 m when three letters picked without replacement from {i: 3, m: 6, v: 1, u: 2, b: 5}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 136 - -64. Suppose -a = 17*r - 27*r. Calculate the greatest common factor of r and 115.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 990 and 754875.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 + 33 = -v. Solve 0 = 3*i - v*i - 12, -2*c = -i + 14 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4543902 - 45029.04\nAnswer: -4588931.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -127989, -127978, -127967, -127956?\nAnswer: -127945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - -102 - (384 + -273)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/w**21)\/w)\/((w\/(w\/w**(3\/17))*w)\/w) assuming w is positive.\nAnswer: w**(-343\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 478*t - 143. Is a(7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14768)\/(-7455) - (-1)\/2*-4)*5?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express z + 0*z + 629 - 629 in the form b*z + g and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -4*x**2 - 92*x**3 + 3*x**2 + 0*x**2 - 5*x**2 - 2*x. Let v be h(-4). What is v rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11060?\nAnswer: 2, 5, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m**2 + 5*m - 4. Let v(j) = j**2 + j - 1. Let t(g) = -a(g) + 6*v(g). Let f(y) = -3*y**2 - y + 2. Determine 5*f(s) + 4*t(s).\nAnswer: s**2 - s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 112274 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4.64295671927 from -0.12.\nAnswer: 4.52295671927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 158531?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 44949 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 divided by 2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.1 and -2052073.\nAnswer: -2052072.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5359, 10708, 16057, 21406, 26755, 32104?\n\"Answer: 5349*a + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 + 20. Solve -i*l - 1 = 9 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/9))**(-15\/4))**(-2\/11) assuming t is positive.\nAnswer: t**(5\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.379 + 0.219. Let j = 16.16 + x. Which is the second smallest value? (a) -0.1 (b) -1 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 - 2*d + 8. Calculate n(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 141\/(-94)*(-7)\/3*36\/(-42)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23 + -229\/10. Let v(i) be the second derivative of 0*i**3 + 1\/21*i**7 + 4*i + 0 + 0*i**6 - m*i**5 + 0*i**2 + 0*i**4. Factor v(x).\nAnswer: 2*x**3*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 16416, 16418, 16420, 16422?\n\"Answer: 2*c + 16414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14576340721 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 + 8*p**2 - 10*p - 5. Let i be n(-9). Let d = -1 + 2. Which is the second biggest value? (a) d (b) i (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 150, 351, 600, 897?\nAnswer: 1242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -4*p - 1. Let f(q) = -13*q**2 + 155414. Determine b(f(r)).\nAnswer: 52*r**2 - 621657","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 45020870 and 10980700?\nAnswer: 450208700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-55 - -34) + (-30 - -21) + -44?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -804 + 396.6. Round b to the nearest ten.\nAnswer: -410","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 4*w - 12 = 0. Let f(d) = -d**3 + 5*d**2 + 7*d - 2. Let t be f(w). Solve 3*q + 12 = -3*o - 0*o, -o - 10 = t*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*t**3 + 54215228*t - 5*t**2 - 54215228*t + 3*t**2 + 2*t**2.\nAnswer: -9*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3*1\/6*2. Let k be ((-1)\/(-1))\/(u\/(-9)). Calculate the remainder when 0\/(k\/3) + 37 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*v - 3*g - 15 = 23*v, -4*v = g + 5. Put v, -7, 38 in ascending order.\nAnswer: -7, v, 38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 141 - 132. What is the lowest common multiple of k and 11?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*h**3 + 5*h**2 + 5*h - 2 wrt h.\nAnswer: -48*h + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -5*v**3 + 3*v**2 - 413*v. Let x(s) = 22*s**3 - 12*s**2 + 1653*s. Calculate 9*g(d) + 2*x(d).\nAnswer: -d**3 + 3*d**2 - 411*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.08 (b) 3 (c) -104 (d) 79\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 3*v - 17, -4*b + 3*v = -0*b + 1. Solve 3*c + b = -5*j, 5*j - j = 8 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -491317895*l + 359320200?\nAnswer: -491317895","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pzfz when four letters picked without replacement from fzppipfzppppzzfz?\nAnswer: 1\/104","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 34*p - 2. What is the units digit of t(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17 - (-61 - -74)) + (3 + (2 - 4) - -57)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004360169 to six decimal places.\nAnswer: -0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 159 + -155. Suppose -2*g = -f*y - 20 + 60, g + 28 = 3*y. Solve 11*l = 7*l + y for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in d**5\/2 + 4371*d**4\/2 + 2384925*d**3 - 7167893*d**2 + 14344533*d\/2 - 4782969\/2 = 0?\nAnswer: -2187, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 43 (base 6) to base 16\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 - a**2 - a + 9. Let r be ((-14)\/(-1))\/((-5)\/15). What is the remainder when r\/12*10*-1 is divided by c(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-36) - (-10)\/(-120)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 8304 - 8310 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add 698.6 and -0.5.\nAnswer: 698.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2210 - -11093\/5. Calculate the common denominator of s and 48\/7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 10 + 27)*(-3*t + 4*t + t).\nAnswer: 48*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9995*z - 10056*z + 244 = 0. Let j(q) be the second derivative of 13\/12*q**z + 0 - 34*q + 0*q**2 - 5\/2*q**3. What is the second derivative of j(n) wrt n?\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 523*t + 14149. What is h(-27)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1656118 is divided by 20700.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 40119 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11111000010011000000011 - -100000?\nAnswer: 11111000010011000100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 71, -2, 10113 in decreasing order.\nAnswer: 10113, 71, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 1057 = -3*i - 1084, -i = 11*t - 1 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -80.122?\nAnswer: 40.061","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 145498 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-four fifths of a millennium in centuries?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m**2 - 5*m + 11. Determine p(5).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -9 - 3*i + 0*i**3 + i**3 + 6*i**2 - 4. Let h be k(-6). Suppose o - h = -0. Calculate the remainder when 18 is divided by o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 205932346 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4.09 + 4. Let i = a + 12.59. Let l = i - 16. What is l rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 8, 3, 2\/9, -3\/4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 88\/60*-3*-5. Let m = -13 - s. Let r be -3 + ((-4)\/(-10) - 1316\/m). What is the highest common factor of r and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 790 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 2*k = -207 - 53, -3*k = g - 35. Round g to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -8*n - 154. Let a be h(-19). Let t(q) = -q - 5. Give t(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3101131313 (base 4) to base 3\nAnswer: -1121120220212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (23 + 2 + 9)*(4*k + k**2 - 4*k) + (2*k + 2*k + 2*k)*(1 - 1 + 2 + 2*k) as w*k + x*k**2 + y and give x.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000012209 rounded to seven decimal places?\nAnswer: 0.0000122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1484 + 1482. Let t(s) = 1. Let k(d) = 12*d - 18. Let i(l) = -k(l) - 24*t(l). Let v be i(o). Calculate the highest common divisor of v and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = i + 4. Suppose 23 = 4*u + 5*p - 0*p, 2*p = 4*u - i. What is the third biggest value in -5, u, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*i + 53 = 9*i + f, 3*f = -9. Let m = 6027 - 8733. What is the tens digit of i\/21 - m\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/1*1\/2. Suppose 6*y - 2*y = k. Solve q + 4 = -y for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppip when four letters picked without replacement from {i: 5, p: 7, j: 8}.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of -v**3\/3 - v**2\/2 + 4*v + 7. Suppose o = 6*o + 670. Let u = -137 - o. What is x(u)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 881?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 2*c = -14, -5*a = 3*c - 5 - 17 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -1122*b - 176. Let k(v) = 19*v + 3. Suppose -527 = -3*g + i, -3*g = -2*i - 531 + 5. Determine g*k(w) + 3*d(w).\nAnswer: -22*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 - 3\/6*2. Let s be ((-2)\/(-68))\/((-1)\/4). What is the nearest to h in -1\/9, s, 3\/8?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 648371 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -650 = -6*s + s. Suppose 3*z - 2*u = 24 + s, 5*z + 5*u = 265. List the prime factors of z.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 198167 and 1166.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 55 + -201. Let u = x + 153. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 738814498?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -86 and 20197?\nAnswer: -1736942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1037 and -1.5144.\nAnswer: 1035.4856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -1 + (0 - -5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**2 - 38*i + 2558 - 1277 - 34*i - 1601 = 0. What is i?\nAnswer: -4, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-116 + 14*w + 116 + w - 4*w + 4*w + (-1 + 0 - 1)*(-w + 4*w - 5*w))*(-w**2 + 2*w - 2*w).\nAnswer: -19*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 88 = -424. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*o - o - 5, -4*o - 77 = 132*x - 123*x - 12*o for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 14*m = -64. What is the greatest common factor of m and 1296?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1911869 or 1911558?\nAnswer: 1911558","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of -5 - ((-7140)\/100 + 2\/5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 153 divide 3215498?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*4*((sqrt(42)\/sqrt(24) - sqrt(7))*4 - (-2 + (sqrt(567) - (sqrt(567)*-1 - sqrt(567))))) + -2)**2 + 2.\nAnswer: -69600*sqrt(7) + 3393414","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**3 - 3*k + 3*k + (-k**2 + k**2 - 2*k**2)*(7*k - 7*k + 1 + 7*k).\nAnswer: -13*k**3 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.892546 rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 89031 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 178*g**2 - 12*g - 11. Determine s(-1).\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -fa (base 16) to base 2\nAnswer: -11111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 + 23*v**2 - 21*v - 17. Let t be j(22). Suppose -t*l + 10 = 0, 2 = d + d - 2*l. Solve 3*z - d = -3*q - q, -2 = -2*z + 4*q for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-9424)\/(-32) - (5\/2 - 2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 10 - (-75 - -71)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, 5, -1\/3, -128 in ascending order.\nAnswer: -128, -1\/3, -2\/13, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 37 - 30. Let k(w) = -w**3 + 7*w**2 + 2*w - 5. Let a be k(g). What is the derivative of 1 + 21*z**3 + 0 + a + 6*z**3 wrt z?\nAnswer: 81*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*l + 2. Suppose 8*u - 9*u = -5. Put -4, u, l in decreasing order.\nAnswer: u, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 38, 103, 198, 323, 478, 663?\n\"Answer: 15*u**2 + 20*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/12 or 161?\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -80814055 or -80814052?\nAnswer: -80814055","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 786 at most as big as 783?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*g = -7*w + 44*g + 1092, -4*g - 780 = -5*w. What is the remainder when 9201 is divided by w?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7746?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, 99, 1, -24 in decreasing order.\nAnswer: 99, 2, 1, -1, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*d**4\/5 + 222423*d**3\/5 + 199873566*d**2\/5 + 60196555284*d\/5 + 1210293679128 = 0. What is d?\nAnswer: -73235, -302","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllllllxlllxl. What is prob of sequence ll?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1175402 divided by -587701.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8847 + -3966. What are the prime factors of p?\nAnswer: 3, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139817.1 months in decades?\nAnswer: 1165.1425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.87545843 rounded to two dps?\nAnswer: 1.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -333846, -1335742, -3005614, -5343456, -8349262, -12023026, -16364742, -21374404?\n\"Answer: t**3 - 333994*t**2 + 79*t + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.7 + -4.7. What is the smallest value in -1, -8, p?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 4*b + 98 + 105, 4*b = -5*h + 187. Let a = -4 + h. What is the remainder when a is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 100\/1009 in -0.1, 1, -2\/13?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 2*d - 2*d = -214, 3*d = -n + 45. What are the prime factors of n?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 143218.9 * -0.1.\nAnswer: -14321.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 - 944?\nAnswer: -951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6568861?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*m**2 + 35*m**2 - 13*m**3 - 28*m**3 - 283108 + 283108 - 20*m**2.\nAnswer: -41*m**3 - 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = -5 + 2 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 228287 and 2479303.\nAnswer: 5309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-6))\/((-20)\/(-48)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f**3 + 4*f**2 + 3*f + 2. Suppose -12 + 4 = 4*h. Let z = 3 + h. Let g be -3 + 5 - (z - -3). Determine u(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2, 15, 44, 95, 174?\n\"Answer: i**3 + 2*i**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j + 0*j + 2*j)*(-2*j**4 + j**4 - j**4) - 2*j**5 - j**4 + j**4.\nAnswer: -14*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fifty-nine fifths of a hour?\nAnswer: 42480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 221461 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -334391180.6 rounded to the nearest one million?\nAnswer: -334000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -12431*t**2 - 10*t + 100. Let k be m(10). What is k rounded to the nearest 100000?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 400000*((-16)\/72 - (-131)\/(-18)). Round p to the nearest one hundred thousand.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5822, -11670, -17528, -23396?\nAnswer: -29274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.042 - 0.058. What is the nearest to r in 0, 3\/8, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*(c*(c*(c*c**(-1\/2)*c)\/c)\/c)\/c))**(-7\/9)\/(c**(-3\/5))**12 assuming c is positive.\nAnswer: c**(683\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 PM and 7:44 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 + 5*s**2 - 9. Calculate w(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, 26, 4, -1.\nAnswer: -2, -1, 1, 4, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1923655g to micrograms.\nAnswer: 192365.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 2*p + 20 = 3*k, 0 = -4*k - 3*p - 12. Suppose k = -0*w + 4*w. Let j = 0.1 - -3.9. Which is the closest to w? (a) j (b) 5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -33 + -6. Let i = x - -38. Which is the closest to i? (a) 2 (b) -5 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 3*j**2 + 9*j + 18. Determine k(-6).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3969*m**2 - 3099 + 3099 - 5918*m**2 to the form w + z*m**2 + h*m and give z.\nAnswer: -9887","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 336\/672 - (2 + 18\/(-20)). What is the nearest to x in 0, 32, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, d: 1, x: 1, j: 3, u: 1}. Give prob of sequence dx.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.35 - 1.15. Let b = 0.5 + -1. Let l = a - b. Is 0 at most l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 258 and 193715.\nAnswer: 1162290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 10*i**2 - 56*i - 464. Is y(-8) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 716564790?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 - -12. Let k be w\/10 - (-22)\/5. Let c be (-18)\/(-24) + (-3)\/(-12). Solve k*j - 3*v + c = 7, -2*j = 4*v + 8 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3510*h**3 + 4122*h**2?\nAnswer: -21060","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 119359*h**3*m**2*w**2 + 3*h**2*m*w**2 - 39*h*m**2 + h*m*w**2 - 31*m**2*w**2 wrt h?\nAnswer: 716154*m**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12933244694 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/30576 and -137\/14014?\nAnswer: 336336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2*1*sqrt(27) + -1*sqrt(1323))\/(((sqrt(81)*2 + sqrt(81))*1)\/sqrt(9)).\nAnswer: 5*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 + 55098949?\nAnswer: 55098948.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 234\/7 or 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60 and 23376.\nAnswer: 116880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeedhedydeeyyeehy. What is prob of sequence hh?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -632 - -632. Let z(r) be the second derivative of 0 + 0*r**4 + h*r**2 + 9*r + 7\/20*r**5 - 7\/6*r**3. Find the second derivative of z(v) wrt v.\nAnswer: 42*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 68?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j + 38. Let n be l(-14). Is 24 greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5696, 3754, 1812, -130, -2072?\nAnswer: -4014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of -108*k**5\/5 - 75*k - 22. Find the first derivative of f(r) wrt r.\nAnswer: -432*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04507 to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 AM and 8:54 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*m*n**5 - 219*m*n**4 - 2719*m*n**2 + 2*m*n + 4*m - 15*n**3 wrt n.\nAnswer: 120*m*n**2 - 5256*m*n - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-54)\/81 - 57\/(-45).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155514 (base 9) in base 4?\nAnswer: 113122231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-5\/2)\/(n\/(n\/(n*n**(-5)\/n))) assuming n is positive.\nAnswer: n**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a microgram in nanograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, -8, -755, 0 in ascending order.\nAnswer: -755, -8, 0, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2612269136?\nAnswer: 2, 619, 263759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1424 - -1427. Let w(s) = -s. Let q be w(1). Let m = q + 4. Solve -m*h + g + 6 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 78 - 92 - (-8 + (2 - 1))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nggj. What is prob of sequence jngg?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 59, 2\/9, 4, 0.2 in decreasing order.\nAnswer: 59, 4, 2\/9, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 370 - 369.997275. What is d rounded to four dps?\nAnswer: 0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 64271 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/9 - 20\/30.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 889683 divided by 296561?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (1 + 2 - -14)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 PM and 1:35 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 5*b. Solve b*h = -2*h + 4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -3*v + 21. Let r(k) = 4*k - 31. Let a(h) = 5*r(h) + 7*w(h). Let z be a(-4). Let f = z - -8. Solve 7 = -3*g - 0*g - f*t, 2 = -2*t for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22563, -44580, -66049, -86970, -107343?\nAnswer: -127168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1699888261?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1197207 a multiple of 467?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22 - -24. Suppose 3 + 15 = 4*p - h, -5*p - 3*h = -14. Suppose -p*z - z + 3*s - 22 = 0, -5*z = 3*s + 28. What is the third smallest value in -0.4, r, z?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3*(2 + (-2)\/3). Let l be b\/(-10) - (-22)\/5. Solve -2*x + l = -0*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.01 + -5.79. Let d = n + 3.8. What is the smallest value in d, -2\/13, 2\/109, -0.4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**4)**15*(t*t\/(t\/t**(-1\/2)))**16 assuming t is positive.\nAnswer: t**83","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85 is divided by 26.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -111\/100 and -109\/1330.\nAnswer: 13300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -3*r + 5. Suppose -o + 0 - 5 = 0. Let q(y) = -15*y + 24. Let b(h) = o*q(h) + 24*p(h). Let a(w) = -4*w**2 + 4*w**2 + w**2. Calculate b(a(z)).\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14060.04902 - 14060. Is 0 bigger than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 250 a factor of 156950500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 20, 1.\nAnswer: -8, 1, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.226 and -0.1412?\nAnswer: 0.0319112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 326*z - 1260*z + 4709*z - 1514*z + (1 - 2 + 3)*(5*z - z - 3*z) in the form o*z + q and give o.\nAnswer: 2263","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2*(4*(1 + sqrt(1539)) - sqrt(1539) - (sqrt(2736) + 2 + -1))*4)**2.\nAnswer: 23040*sqrt(19) + 1096704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 350, 615, 888, 1175, 1482?\nAnswer: 1815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 less than -0.00612?\nAnswer: -3.00612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1459 - 1459.5. Which is the closest to -5? (a) -1\/4 (b) 3 (c) -2 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2b559 (base 12) in base 3?\nAnswer: 10010001020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10101100001111 (base 2) to base 15.\nAnswer: -33ed","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 - 7*z - 7. Let v be h(-6). Let r = 224\/9 + -6943\/45. Let b = r - -129. Which is greater: v or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 37 - 35. Suppose 4*k = m + 17, -3*m - 1 + 0 = -s*k. Solve z + 18 = m*a, 2*z + 2 - 6 = -2*a for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f**2 - f**4 + 2*f - 8 + 21 + 0*f**4 to j*f**2 + o + q*f**4 + m*f**3 + v*f and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 131147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-2)*m)**43*(m\/(m*m**(2\/7))*m)**30*m**(-5)\/m*m**2*m*m**(3\/7)*(m*m\/(m\/((m*(m*(m**(-1\/2)*m)\/m*m)\/m)\/m)*m))\/m assuming m is positive.\nAnswer: m**(257\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 412 - -77?\nAnswer: 489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -3*s - 4*w, 3*w = 4*s + 13 - 4. Let u be ((-1)\/(-2)*(s - -3))\/2. Suppose -4*n + 7*n - 180 = u. Is 14 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 PM and 2:16 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 + 8*s - 4. Suppose 0 = -2*c - 2*c + 32. Let k be (-2)\/c - 104\/(-32). What are the prime factors of r(k)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (16\/(-20))\/((-1)\/60).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 654 = -4*n + v, -v - 663 = -4*n. Does 33 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4257093*o**3 + 158*o - 13410?\nAnswer: -25542558*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*p - 9*p + 0*p)*(-2 - 2 - 24) to u*p + t and give u.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1826*c**3 + 162*c**2 - 5*c - 24366628 wrt c.\nAnswer: -5478*c**2 + 324*c - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 988?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 36e7 (base 16) to base 4\nAnswer: 3123213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = 4*u - 14*u - 6*u + 1500 for u.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2299, 4596, 6855, 9058, 11187, 13224?\nAnswer: 15151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 407 a factor of 4612531?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 - 5*s + 18. Let r be q(2). Factor 19*u**2 + u**3 - 6*u**3 - 14*u**2 + 5*u**r - 15*u**2.\nAnswer: 5*u**2*(u - 2)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 92 and 2714000?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 8*y + 108 = 0. Let c be (-3 - y\/(-5))*20\/6. Find the second derivative of -c*a + 0*a**5 + 13*a + a**5 - 20*a wrt a.\nAnswer: 20*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -2*a**5\/7 + 1158*a**3\/7 - 4*a**2\/7 - 3456*a\/7 + 2304\/7 = 0.\nAnswer: -24, -2, 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 5*j - 5 = 0, 4*j + 1 - 5 = 0. Suppose 22 = d - t. Suppose 14 = -3*w + 50. What is the smallest common multiple of d and w?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/2))**(-36)*((l*l*l*l*l\/(l*((l*l*((l**(-2\/7)\/l)\/l)\/l*l*l)\/l)\/l)*l*l*l)\/l*l*l)\/l*l\/(l\/l**(-3)) assuming l is positive.\nAnswer: l**(163\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 158 - 133. What is the remainder when w is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2 + 0.7. Let w = -1093 - -7650\/7. Let o = 20 + -18. Which is the nearest to o? (a) w (b) -0.1 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**3 - 4*s**3 + 4*s**3 + (-11*s - 20 + 20)*(2 - 2 + 2*s**2 - s) - 22*s**3 + 43*s**3 + 18*s**3 + (0*s**2 + 4*s**2 - 3*s**2)*(0*s + 0*s + s).\nAnswer: 17*s**3 + 11*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.9 - -0.9. Is g > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((32\/36)\/4)\/((-67)\/((-17487)\/116)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5208 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*g*q**3*x - 54*g*q**2*x + 5*g*q*x**3 - g*q*x + 13*q**3*x**3 wrt x.\nAnswer: 30*g*q*x + 78*q**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(((-1512)\/16)\/21).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 428 is divided by 98.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 513 and 33.\nAnswer: 5643","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5968078 to the power of 1\/3, to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 19.68371 to the nearest integer.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2133144825 a multiple of 140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4836.772 kilometers in nanometers?\nAnswer: 4836772000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 4*k + 26, -2*b + 5*k - 3*k + 20 = 0. Suppose 2*f = 3*s - 5, 2*f = 2*s - b*s + 35. Solve f*t - 12 = t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 - -22. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6.03 + -0.03. Let f = v + -5. Let h = 4 - 4. Is h not equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) 1\/8 (c) 1\/6 (d) -4\/7 (e) -1 (f) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -34\/405 and -71\/495?\nAnswer: 4455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 8*s**2. Let h(o) = -2*o + 4. Let i be h(0). Let j(r) = r - 3*r + i*r. What is d(j(n))?\nAnswer: 32*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 823000848?\nAnswer: 2, 3, 3677, 4663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 5 + 23)*(-92*x + 3*x + 13*x).\nAnswer: -2280*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (49 - 35) + -1 + -20\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -458*m - 2510 - 9856 = 0 for m.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 5*k - 210. Let g be y(42). Factor 24\/5*o**2 + g + 72\/5*o + 2\/5*o**3.\nAnswer: 2*o*(o + 6)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -4*u + 123 + 49, 0 = -4*u + 4*y + 196. Suppose -4*t + 5*b + u = 0, 2*t + 3*b = 4*b + 27. Let g = 45 - t. Does 16 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7250, 14426, 21608, 28796?\nAnswer: 35990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -9) + -6 + -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 4*h + 181. What is k(-47)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*h**5 - h**4 - 682*h**2 + 2222*h - 6 wrt h?\nAnswer: -40*h**3 - 12*h**2 - 1364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -0.3 (c) -66228 (d) -3\/2 (e) 3 (f) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-835 + 1667 - 10*q - 822)*(2*q + q - 4*q).\nAnswer: 10*q**2 - 10*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-1\/3)\/(x*x**(-2\/3))*(x**0)**(-14\/3) assuming x is positive.\nAnswer: x**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express x**3 + 2 + 239*x - 82*x + 21*x**2 - 158*x in the form c + z*x**2 + y*x**3 + o*x and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 373173271 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -i - 31, -i + 3*t - 33 = -t. Let x = -13 - i. Let z be (-10)\/(-4)*x\/75. Which is the closest to z? (a) 0.1 (b) -2\/7 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 PM and 4:20 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -3*b**2 - 2*b**2 + 0*b**2 - 2*b**2 + b. Let p(r) = r**2 + 9*r - 11. Suppose -4*m - 33 = 7. Let n be p(m). Give x(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 2*g - 2*i + 131 = 0, -426 = -3*g + 5*i. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 + x**2 + 23*x - 17. Let p be j(6). Let m = 56 + p. Let r(b) = 4*b - 3 + 2*b + b**2 - 2*b. Determine r(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6001 - -53945\/9. What is the common denominator of u and (-110)\/(-84) - 4\/6?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + 0)*(-4 - -5). Suppose l = -4*g + 2*j, 3*j - 8 = -j. Is g less than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -673*x**4 - 29*x**3 + 27000*x**2 wrt x.\nAnswer: -16152*x - 174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 4*t + 18 = 0, t - 26 = 2*j - 11. What is the lowest common multiple of 287\/14 + (-9)\/j and 14?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0, -16.3, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 3:34 PM?\nAnswer: 9:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5610?\nAnswer: 2, 3, 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2 + 1)*(1 - 2*v - 1) - v + v + 9*v + (1 - 4 + 5)*(v + v - 4*v) as b*v + g and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27135912?\nAnswer: 2, 3, 31, 36473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, -38, -64, -92, -122, -154, -188?\nAnswer: -224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_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 r(q) be the second derivative of -q**4\/48 + q**3\/24 - 23*q. Determine g, given that r(g) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107*o - 25*o - 528 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -f - 5, -25 = -3*f - 22. Let s(j) be the first derivative of -9*j**4 + 8 - 27\/2*j**y + 0*j**3 + 0*j. What is the second derivative of s(u) wrt u?\nAnswer: -216*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -244 + 243.82. Let k = -0.083 + 4.263. Let b = k + p. What is the nearest to -4 in 0, -2, b?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 AM and 6:17 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8\/(-10))\/(42\/15). Which is greater: -1\/80 or s?\nAnswer: -1\/80","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 12 = -5*l, 9 = 5*l + 2*b - b. Let g = l - -12. Let u = -113 + 267. What is the highest common factor of g and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3039 is divided by 89.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 69994 and 1422?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2225233 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -84 + 87. Suppose -t - 3*h = 2*h + 21, -3*t + 27 = -n*h. Solve 0 = -o + t*o - 12 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 + 3*q + 2. Let y be s(-1). Suppose y*j - 2400 = 5*j. What is j rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -35 - -5?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -27562, -27535, -27500, -27463, -27430?\n\"Answer: -h**3 + 10*h**2 + 4*h - 27575","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 + (-248)\/12*-27 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 743 - 719. Solve 18*d - 34*d = s*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -955*y - k = -960*y + 13, 0 = -3*k + 6. Solve 5*r = -4*g - 13 + 50, -g - y*r + 18 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -52?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p**2 - 210. Let t(w) = 2*w**2 + 486. Give t(c(j)).\nAnswer: 8*j**4 + 1680*j**2 + 88686","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 5)*(-6*b + 0*b + 2*b) + 2*b + 2 - 2 + (3*b - 2 + 2 - 3)*(3 - 3 + 4).\nAnswer: 22*b - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/79339 and -49\/275145?\nAnswer: 98777055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-122 - 300 + 43)*(5*p**5 - 3*p**5 + 0*p**5).\nAnswer: -758*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 152341 - -42430?\nAnswer: 214771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11836116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3037 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -3*t. Let a(h) = -h + 13. Let r be a(11). Let x(k) = r*k - 3*k + 4*k. Give x(i(j)).\nAnswer: -9*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 26023 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (12\/(-66) - 6\/(-33))\/4. Let m = r - 18. Are m and -18 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13277 is divided by 214?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -4*s. Let a(c) = c**2 + 3*c. Let h(x) = 5*x**2 + 13*x. Suppose 32 = -2*q + d + 4*d, -4*d + 88 = -4*q. Let w(k) = q*a(k) + 6*h(k). Give w(o(p)).\nAnswer: 64*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 7 = -2*r. Let v be (-6)\/r*(-11 - -12). Let z = 259 + -258.9. Which is the second smallest value? (a) z (b) v (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.5088 - -0.6488. What is the second smallest value in -568, q, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.538 - -0.538. Let r = -8 - -8.6. Sort -0.5, o, r in descending order.\nAnswer: r, o, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55 is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 396336 is divided by 2477.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + 3*q + 0*q)*(15 + 53 + 143)*(-2 + 2 - 2*q)*(-5 + 0 + 4).\nAnswer: 1266*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -1247*p + 86. Let y be (-468)\/208*4\/(-3). Let f(k) = 43*k - 3. Give y*u(s) + 86*f(s).\nAnswer: -43*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4544 + 4548. Factor -3*h**2 - 1\/2*h**m + 4*h**3 - 25\/2 - 20*h.\nAnswer: -(h - 5)**2*(h + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -81 and -7146.\nAnswer: -7227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -104 * -3\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 2\/37, -36, 1, 100?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 8.1, 15, 0, 1\/23, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lnllmllllmlnlnmlll. What is prob of picking 3 n?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1946 by 6.\nAnswer: -973\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 2*j + m - 14, 11*j = 19*j - 2*m - 54 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 0.06802, 62?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -224*i - 219. Let v be l(-1). Factor -7\/4*f + v - 3\/4*f**2.\nAnswer: -(f + 4)*(3*f - 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 371535.7878 to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 4*f + 22, -4*u + 7*u + f = 2. Solve u*l - 3 = -3 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(19)*-6*5 + 3*sqrt(171)*5 + -2 + -3.\nAnswer: -45*sqrt(19) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2362531 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -3*f - 2. Let s be h(-3). Let y(o) = 6*o**2 - 11*o - 16. Is 31 a factor of y(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 - -8. Is 10 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b + 1 - 1)*(0*b + 4*b - 3*b) - 4*b**2 + 11*b**2 + 15*b**2.\nAnswer: 26*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1446899.\nAnswer: 1446899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*w**2 + 7*w - 55*w**3 - 5*w + 2*w - 14*w**3.\nAnswer: -69*w**3 - 20*w**2 + 4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.38 - -0.379865. What is s rounded to five decimal places?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1288333.89 and 0?\nAnswer: 1288333.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0689405 microseconds in seconds?\nAnswer: 0.0000000689405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/10 - 744\/60. Let v = c + 10. Calculate the remainder when 7 is divided by v\/(-1) - (3 + -4).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.47 - 0.03. Let b = 1 + m. What is the biggest value in 3, -0.4, b?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38772 divided by 6462.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 - 10*k**2 + 7*k + 7. Let a be z(9). Let p be a + 11 - -1*5736509. Let m = -1536509 + p. What is m rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*o + 8*o - n + 12, 5*o + 2*n - 26 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**4 + 269*p**3 - 70567*p**2 - 577445*p - 1090050 = 0.\nAnswer: -430, -5, -3, 169","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -794979*h + 1800663 wrt h?\nAnswer: -794979","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -25521, -26468, -27415, -28362?\n\"Answer: -947*g - 24574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 905356, 1810714, 2716072, 3621430, 4526788?\n\"Answer: 905358*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/32 of a milligram?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 71598131 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.0126 + -0.0126. What is the nearest to 2\/3 in -0.1, -0.26, m?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -9*(-8)\/6 - 6 - 4. Suppose 3 = f - 1. Suppose f*d + t*a = 2, -3*d - 5*a + 15 = 3. Is d > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 68045?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/190365 and 67\/23310.\nAnswer: 1142190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 15 + (-10 + 1 + 19 - -4)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = 5*k + 30, -k - i + 11 = -5*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -135 divided by 40?\nAnswer: -27\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 PM and 8:57 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/430907 or 1?\nAnswer: -2\/430907","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-82 - -115) + -5 + (6 - 4) + -6?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -107 or 449?\nAnswer: -107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 47738788 and 1241?\nAnswer: 1241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 9 (b) -0.02 (c) 0 (d) 1 (e) 89 (f) 0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17 and 46801?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/((-66)\/55) + -11. Let k(m) = -4*m + 2*m - 6*m**2 + m**3 - 2*m**3 - 9. What is k(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1730, -1727, -1724, -1721?\nAnswer: -1718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f + 22. Let h(o) = 6*o + 701. Calculate -2*a(v) + h(v).\nAnswer: 4*v + 657","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*q**4 + 15*q**3 - 21*q**3 + 6*q**3 + 20 wrt q?\nAnswer: 24*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176063 (base 11) in base 5?\nAnswer: 32142333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(1584) + -1*sqrt(1584) + sqrt(1584) + 5)**2 + 0.\nAnswer: 120*sqrt(11) + 1609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111 - -100000111?\nAnswer: 100000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - 8 - (-3 - (-2 - -1)). Let p(i) = -2*i**2 - 11*i + 1. What is the units digit of p(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - -102133410441?\nAnswer: 102133411000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = b + 4*o, -2*o + 0 = -b - 6 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -5205*j - 545*j - 6920*j in the form d*j + l and give d.\nAnswer: -12670","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16.914 + 17. Let w = r - -0.414. Let z = 26 + -24.3. What is the smallest value in z, -4, w?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-3)*9\/1 - -211. Let u = 687 - b. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 90 and 1468430?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8695 is divided by 795.\nAnswer: 745","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of 0 + 0*k**2 + 1\/6*k**3 - k + 1\/6*k**4. What is the second derivative of y(n) wrt n?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -361300 to the nearest 10000.\nAnswer: -360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 5*g - 23. Let i be a(4). Let c(q) = 202*q**2 - 7*q + 2. Is c(i) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1526129521 to the power of 1\/2, to the nearest integer?\nAnswer: 39066","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -509 by -5.\nAnswer: 509\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, q: 3, w: 1}. What is prob of picking 1 w and 3 r?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121\/(-4)*-10*24\/60 is divided by (-6)\/9 + 95\/3.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -67*n**2 - 1 + 221*n**4 + 4*n**2 - 14 + 15 wrt n.\nAnswer: 5304*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1275\/68)\/(-30*43\/(-3440))\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3839, -7674, -11509?\n\"Answer: -3835*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 - 9*r + 8. What is z(9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 28, -27*u + 4*o - 171768 = -29*u. List the prime factors of u.\nAnswer: 2, 29, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 7*a + 108. Calculate q(-18).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 81 + -127. Let p = v - -42. Let r = -2 - -1.5. What is the third smallest value in p, 3, r?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*j**3 - 3 - j**3 + 2*j - 15*j**3 - 2*j to the form l*j + c*j**3 + v + u*j**2 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -345314 (base 8) to base 4.\nAnswer: -130223030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 32c - -c9049?\nAnswer: c9378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (34 - ((75 - 33) + -93))\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 2*r - 5*c - 3, 71*r + 540*c = 68*r + 2751 for r.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -24*o + 0 - 1 + 1. Let f(k) be the second derivative of k**4\/6 - 9*k. Give f(t(r)).\nAnswer: 1152*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -149*f - 10*f - 3*f**2 + 66*f**2 + 128*f in the form x*f + h + v*f**2 and give x.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -8*g**3 - 2*g**2 + 1. Let o be x(-1). What is the third derivative of -17*r**2 + 23*r**5 - o*r**2 + 6*r**5 + 2*r**5 wrt r?\nAnswer: 1860*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 430, 425, 430, 451, 494?\nAnswer: 565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4009 and 82872571?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8052 and 2334.\nAnswer: 3132228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 777 = 435*c - 339*c - 855. Calculate the remainder when 3784 is divided by c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 629, 1243, 1859, 2477, 3097, 3719, 4343?\nAnswer: 4969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.964009l in millilitres?\nAnswer: 3964.009","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 316531 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f + 12. Let g be l(-10). Suppose r + 11 = -3*m, -4*r = m - g*m - 8. Sort r, -1, 3.\nAnswer: -1, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -11 and 8589810160.\nAnswer: 8589810149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jlqqjqqqjcqq. Give prob of picking 2 q.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28341423.\nAnswer: 3, 11, 47, 6091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, p: 1, r: 2, q: 1}. What is prob of sequence rr?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2505, 19963, 67363, 159681, 311893?\n\"Answer: 2496*w**3 - 5*w**2 + w + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 180*t + 513. Let u(g) = -8. Let q(a) = -o(a) - 27*u(a). Differentiate q(m) with respect to m.\nAnswer: -180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2688)\/480)\/(917\/(-13100)).\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, 1, 11, -719536, 2\/5, -1\/2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000362071 to six dps.\nAnswer: -0.000362","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-3\/8)*d)**39*(d*d**7)**(-3\/17) assuming d is positive.\nAnswer: d**(8427\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -32379\/105779 + 3\/761. Find the common denominator of 65\/2224 and d.\nAnswer: 2224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20555434 to the power of 1\/3, to the nearest integer?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*u + 12. Let j be 6\/(-10)*(-4 - 1). What is the units digit of ((-2)\/j)\/(6\/u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 + 3)*(-2*l**3 + 0*l**3 + 0*l**3 - 971*l**3 + 421153 - 421153 + (-1 - 2 + 1)*(-2*l**3 + 2*l**3 + 3*l**3) + (2*l - 1 + 1)*(l**2 - 3 + 3)).\nAnswer: 1954*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 + 7*k**2 + 3. Let v be x(7). Solve -v = -g - 8 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*k - k + 0*k)*(198 - 198 + 41*k + (-k - 4*k + 6*k)*(0 + 4 - 3) - 3 + k + 3) + 0*k + 0*k + 5*k**2 to a*k + l*k**2 + w and give l.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14130271*n**3 - 1950*n**2 + 188*n - 1.\nAnswer: 84781626","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -512 divided by 8\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 7764, 15746, 23726, 31704, 39680, 47654, 55626?\n\"Answer: -n**2 + 7985*n - 220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8750?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/453564 and -29\/5274.\nAnswer: 453564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 186*b**3 + 6*b**2 - 11*b + 9. Let i(h) = h**3 + h**2 - 2*h + 1. Let r(a) = 6*i(a) - k(a). Find the second derivative of r(s) wrt s.\nAnswer: -1080*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 1 + 2)*(2 - 1 + 0)*(-3 - 4 + 5 + (-5 + 2 + 5)*(-4 + 1 + 0) - 5 + 1 + 2 + 22 + 12 - 6)*(2 - 8*b - 2) to the form z*b + h and give z.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a century in months?\nAnswer: 3150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4408808 divided by 19508.\nAnswer: -226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*a*n**3*z - 3*a*n**2 - 1201*a*z - 2*n**3 with respect to n.\nAnswer: 6*a*n**2*z - 6*a*n - 6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10533292 and 4840?\nAnswer: 105332920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 105 divide 3102842?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -835*l - 12532. Calculate i(-15).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 760\/(-180) + 4 + 4\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 2\/9 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 26*d**2 + 26*d**2 + 2*d**4)*(2*d - 1 + 0*d + 0*d).\nAnswer: 4*d**5 - 2*d**4 + 20*d - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5283139 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -12b7 (base 14) in base 9?\nAnswer: -4463","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 + 10*f**2 - 11*f + 8. Let p be y(-11). What are the prime factors of 1*p*10\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -121985600 by -9560.\nAnswer: 12760","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-63)\/588 - (-1)\/4. Let j = 0.5 - -3.5. What is the closest to -2\/5 in j, -8, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 55464739 to the nearest integer?\nAnswer: 7447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a = -11*a + 12, -4*p - a - 1749 = 0. Let o = -433 - p. Solve o*i = 14*i + 27 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of 3*w + 1\/2*w**3 - 1 + w**2 - 1\/12*w**4. Let u(d) be the first derivative of x(d). Determine u(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of (-15232)\/(-63) + (16\/(-18))\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 6*i**2 + 1584*i + 88923. Give q(-183).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -25*-0.03\nAnswer: 0.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 43 and 172.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -700 - -93. Let k = 610 + i. Suppose 2\/3 + 3*s - 2\/3*s**2 - k*s**3 = 0. Calculate s.\nAnswer: -1, -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - -1) + (-4)\/(-4). Suppose 15 = 2*n + 3*n + k*w, 5*n + 5*w = 0. Solve 3*r - 4*r - n = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, i: 4, w: 1, u: 6, t: 4}. What is prob of sequence uiiu?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7767907892 to the power of 1\/6, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 58\/(-87)*27\/6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18389, -30395, -42401, -54407, -66413, -78419?\nAnswer: -90425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6735?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*w = -3*w + 432. Suppose i = 6*i + o - 140, 5*i - 2*o - 125 = 0. Is i at least w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 1 = -2. Let s(o) = -1. Let z(x) be the third derivative of x**4\/24 - x**3 + 16*x**2. Let f(b) = g*s(b) - z(b). Calculate f(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22\/14 + 33\/(-77)\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m. Let d(q) = 58*q - 70. Let g(t) = -d(t) - 8*k(t). What are the prime factors of g(-5)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 10) in base 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p = 141 - 129 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z + 2*z - 2*z)*(0*z - 5*z + 0*z)*(-z**2 - 3*z + 3*z).\nAnswer: -15*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/21 of a week in minutes?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/(-8))\/1*10\/15.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3503 + -3498. Which is the second biggest value? (a) 2\/11 (b) -1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -39278686*w**3 + w**2 - 18045565?\nAnswer: -235672116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -38156 - -53845. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/4)\/((-120)\/(-480)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b - 2 + 8 + 2. What is the units digit of j(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36484 a multiple of 146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1175 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of -4*c**6\/5 - c**3 + 20*c. What is the second derivative of s(t) wrt t?\nAnswer: -288*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -262662, -262661, -262660, -262659, -262658?\nAnswer: -262657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - s = -251, 2*u - 103 = -4*s + s. Let c be (-20)\/8*(-12)\/u. Let p be -4 + 3\/(-6)*2. Sort c, 0.4, p.\nAnswer: p, 0.4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6469810 and 0.5.\nAnswer: 3234905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -223*h + 444*h - 235*h + 1 to the form n + r*h and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -5*b**3 - 2*b**2 + 1. Let g be j(-1). Suppose -24 = -5*t + 4*n + 13, -g*n = 5*t - 53. Solve -4*y - t = -y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 318204?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8 - (-2)\/((-8)\/4). Let r(g) = -6 + 3*g**2 + 10 - 4*g**2 - 9 - d*g. What is the units digit of r(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 54 = 6*n - 3*c, 5*c = -2*n + 22. Factor z**3 + 8 - n*z + 0*z**3 - 3*z**3 + 10*z**2.\nAnswer: -2*(z - 2)**2*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16301160 divided by 90\nAnswer: -181124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 695.8868 litres in millilitres?\nAnswer: 695886.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 + 74*g**2 + 397*g - 152. What is the remainder when z(-68) is divided by 150?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -667 - -673. Calculate the smallest common multiple of (y + 1)*2520\/490 and 120.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*-47 + -102 + (84 - -34)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 1 + 0)*(2 - 2 - 1) + 1 + 0 - 3)*(5 - 5 + 4*w).\nAnswer: -16*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/8)\/((-13)\/156)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/3*y - 16\/3 + 2\/3*y**2.\nAnswer: 2*(y - 2)*(y + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + 2. Differentiate 3 + u*n - 3*n - 3*n**3 wrt n.\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 0 + 8 = n, f = -5*n - 16. Let p = 0 - -2. Calculate the lowest common multiple of 4\/(-3)*(-42)\/f and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-1)*(-2 + 3 + -1). Suppose h = 16*u + 2 - 146. Calculate the remainder when 14 is divided by u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m**2 + 3*m**2 + 0*m**2)*(3*m - m - 10 - 4*m + (-6*m + 4*m + m)*(4 - 2 + 0)).\nAnswer: 4*m**3 + 10*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 19027371?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2776002, -5551998, -8327994, -11103990?\nAnswer: -13879986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 377 + -1746?\nAnswer: -1358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 b when two letters picked without replacement from ppdjhpppdbhhc?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53297.95 tonnes to nanograms.\nAnswer: 53297950000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -4\/7, 3, -0.1, -60.3, 0.18, 4?\nAnswer: -60.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 55 = -4*u, -4*i + i + 131 = 5*u. What is the second derivative of 37*t**2 - 2*t - 19*t**2 - i*t**2 wrt t?\nAnswer: -58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 + 9*k + 2. Let d be o(9). Suppose 0 - 17 = -4*p - v, d*p - 12 = -4*v. Suppose -p*b + 2*b = -44. What are the prime factors of b?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b = 5*b. Suppose -3*r + r + h - 141 = b, -2*r + 2*h - 140 = 0. Let k = r - -126. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 86\/19, -4\/7, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6842, 4, 39, -0.06, -10 in descending order.\nAnswer: 39, 4, -0.06, -10, -6842","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 15\/(-9) + 158376\/72. Suppose -c = -2*b - 90*j + 88*j, 0 = 3*b + j - 3295. What are the prime factors of b?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 5) to base 10\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 236.52?\nAnswer: 236.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, 0.1, -1.2, -103 in descending order.\nAnswer: 2\/11, 0.1, -1.2, -103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 18680099 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-8) - 22\/(-40)*5. Solve 0 = 15*k - 14*k + 3*o + 8, 14 = -5*k - v*o for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42630346*22.\nAnswer: -937867612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 37996\/(-4071)*6\/8\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.00472 + 43.47472. Let p = -43 + s. Let l = -0.03 - p. Which is the nearest to -2? (a) l (b) -1\/6 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24 + 28. Suppose s = -l*a + 138, 0 = s - 4 + 2. Suppose 72*w**3 - a*w**2 + 2*w - w**2 + 11*w**2 = 0. What is w?\nAnswer: 0, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 168 + (-3584076)\/22644 - (-4)\/(-74)\nAnswer: 29\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 - 14*i + 14. Give x(-5).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggqqgqgqqggqqqq. What is prob of sequence gqqq?\nAnswer: 21\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -1601.9299005 to the nearest ten.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 2\/472765?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -5 + sqrt(5) + sqrt(45) + 0)**2 - (-2*sqrt(10)*2)\/(3*sqrt(2)*-2).\nAnswer: -194*sqrt(5)\/3 + 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 50.1362 to one decimal place.\nAnswer: 50.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-64) - ((-18424)\/(-1920))\/(-49)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 25*t**2 - 43*t - 59. Let a(c) = -14*c**2 + 21*c + 29. Let f(w) = 5*a(w) + 3*b(w). What is the thousands digit of f(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -12927.\nAnswer: -2\/12927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1\/2, 3 in ascending order.\nAnswer: -2, 1\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -10 - (2 - (2 - -2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p**2 - 17*p**2 - 17*p**3 + 55 + 73 + 112*p + 2*p**2 + 13*p**3 = 0. Calculate p.\nAnswer: -8, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.18793 * -4\nAnswer: -0.75172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -8064 divided by 112\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l + 1931. Let h(j) = -j**2 - 40*j. Determine c(h(s)).\nAnswer: s**2 + 40*s + 1931","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 11*n = 8*n + 15, 5*n = 25. Solve f = -22*p + 12*p + 40 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 839804 to the nearest integer?\nAnswer: 916","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (31374\/12 + 4)\/(-111*4). Let x = b - -81\/37. Let a = 19759\/15147 + -2\/1377. Calculate the common denominator of a and x.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2*b + 13. Determine c(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 672 = -2*j. Suppose -4*t - j = -2*q, -4*q + 2*t = -3*t - 442. Suppose 4*v = v + q. Calculate the greatest common divisor of 9 and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -563 = 2*r - 133. List the prime factors of 1*(-6 + 4 - r).\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*o = -4*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 1 - (-1 + 1 + 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 839 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13 and 195299273?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -52055, -104155, -156255, -208355, -260455?\n\"Answer: -52100*m + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18.5999899 + 18.6. Round b to 6 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.75425 rounded to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 4*p = -539, 3*p = t + 2*p + 178. Let m = t - -1235\/7. Solve 16\/7 - m*i + 12\/7*i**2 - 2\/7*i**3 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -2*h - 32. Let s(m) = -m**2 - 8*m - 8. Let u be s(-8). Calculate the remainder when 22 is divided by 18\/u*h\/6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (2 - (2 + -6 + 3))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of k**4\/24 + k**3\/6 + 2*k**2 - 2. Let n(g) be the second derivative of b(g). Let y be n(-6). Sort -4, y, 3 in increasing order.\nAnswer: y, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = 5*l + 16, -13*l + 12*l - 14 = -5*h for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405) + sqrt(405) + -2)**2 + 2*sqrt(320).\nAnswer: -56*sqrt(5) + 1624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -4*x. Suppose 2*h + 2*h = x. Are h and -1\/6 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 + 11. Suppose -8 - 4 = -k*n. What is the greatest common factor of 48 and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-12)\/(-8))\/((-6)\/280). Let g = -45 - w. Suppose -2*q = t - 15, 0*t = -4*q - 3*t + g. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.037673 to four decimal places.\nAnswer: 0.0377","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 3*z**2 - 29*z - 48. What is w(11)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 13 - 9*b - 9 to v*b + y and give v.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 51\/4 of a tonne?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 2 and 9\/16 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 4*d**2 - 2*d. Let v be n(2). Let l be (6 - 90\/v)*(-1 + -1). Let 0 - 2*c**2 + 2\/3*c + 2*c**l - 2\/3*c**4 = 0. Calculate c.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 + 3*s. Let n(y) be the second derivative of 0*y**2 - 5*y - 2\/3*y**3 + 1\/12*y**4 + 0. What is 5*n(g) + 6*t(g)?\nAnswer: -g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2160 + 1336 = 184*l for l.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of 0*c**2 - 1\/21*c**6 + 0*c**3 + 3*c + 0 + 1\/21*c**4 - 3\/70*c**5. Let n(t) = 0. Calculate t.\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.0836114 rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 354767.\nAnswer: 7, 59, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 - 2*a**2. Let t(v) = 2*v**5 + 6*v**4 - 5*v**3 + 4*v**2 + 8*v. Suppose -7 = -w + u, w - 37 = -3*w + u. Let d(g) = w*q(g) + 2*t(g). Factor d(p).\nAnswer: 4*p*(p - 1)**2*(p + 1)*(p + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3 + 3513712*z**2 - 1543222309224*z - 43212979452384.\nAnswer: -2*(z - 878442)**2*(z + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of -2*n + 3. Let f(o) = o - 1. Let r(a) = -1. Let t(x) = -f(x) + 4*r(x). Calculate -3*p(b) + 2*t(b).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4339, -14747, -32103, -56407?\nAnswer: -87659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, w: 1, c: 1, d: 1, n: 1}. Give prob of picking 1 d and 1 c.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - -1) + (244 + -230 - (25 - -1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - ((1 - 1) + 1 - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 65126724 and 624.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*z + 2*z - 3*z**2)*(3*z + 4*z - z) + 2*z**3 - 3*z**3 - 58*z**3 as c*z**3 + v + k*z**2 + o*z and give c.\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -7542*p. Let t(q) = -q. Calculate t(a(v)).\nAnswer: 7542*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -266 - -270. Solve -y*d - d - 4*s = -15, 4*s - 9 = -3*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01172480893 to 3 decimal places.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -103*k + 109 + 200. Suppose 24 = 4*z - 5*d + d, 2*d = -4*z. Suppose 0*c - z*o = c + 3, -2*o - 12 = -2*c. Solve 1 - c = -2*t, -5*t = -k*q - 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2067247*r - 2266136 with respect to r.\nAnswer: -2067247","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2102, 8367, 18814, 33449, 52278, 75307, 102542?\nAnswer: 133989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 161 and 104650?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -913*q - 25. Let o(z) = 1823*z + 58. Determine 14*g(s) + 6*o(s).\nAnswer: -1844*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -3528 to the nearest one hundred.\nAnswer: -3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of 19*b**4\/3 - b**3\/6 + b**2\/2 + 3*b. Is r(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 PM and 3:11 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y. Let m(z) = 5*z**2 - 3*z**2 - 3 + 3. Give b(m(q)).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + (-10 - (-186)\/18). Which is the closest to p? (a) 2 (b) 0.2 (c) -1\/2 (d) 2\/61\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-1\/3)*h)\/h*h)**45 assuming h is positive.\nAnswer: h**75","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/((-4)\/(-4)*1). Let u(g) = 4*g - 2. Is u(t) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2579*d + 3140*d = 6165*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11289927 minus -2611.4?\nAnswer: -11287315.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 31 = -4*v, 116*l + 9 - 24 = 118*l + v for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1088) - sqrt(1088)*-1)**2 + -1 - -1*(sqrt(17) + -2 + 5 - sqrt(17) - sqrt(17)).\nAnswer: -sqrt(17) + 4354","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6242251 rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zoxofzxzozffgmo. Give prob of picking 1 f and 1 g.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 + 13*g**2 - 7*g - 25. Determine x(12).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -34.99285 to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 307 and 3?\nAnswer: 921","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 24521987177 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*v - 7*v - 11*v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -125 - 177 + 1493*r**3 + 2057 + 188*r**3 wrt r.\nAnswer: 5043*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 7*m - 4*n - 50, 0 = -5*m + 3*n + 50. Let g be (-322)\/(-4) - (-2)\/(-4). Calculate the highest common factor of m and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of -2*h**4 - 58*h**3\/3 - 7*h**2 + 29. Factor v(w).\nAnswer: -2*w*(w + 7)*(4*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.4 times 833\nAnswer: 2832.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 - 8*z**2 + 9*z + 10. Let j(w) = -7*w - 51. Let i be j(-6). Let b be v(i). Solve 4*m + b = 2*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - 8*y + 1. Let j(a) = 3*a**3 + 2*a**2 - 17*a + 2. Determine -2*j(s) + 5*o(s).\nAnswer: -s**3 - 4*s**2 - 6*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144*n + 9174 = -174*n + 1542 for n.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 122*b**3*n**2*o**2 + b**3*n*o**2 + 229*b**2*n**2*o**2 + b**2*o**2 - 2*n**2*o**2 wrt b?\nAnswer: 732*n**2*o**2 + 6*n*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1 - -0.5. Let g = 3 + -105. Let h = -91 - g. Which is the second biggest value? (a) y (b) h (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 107.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(245) - (sqrt(245) - sqrt(245)*2)))\/(3*sqrt(14)\/sqrt(2) - sqrt(7)))\/(1*sqrt(35)\/sqrt(5) - sqrt(252)*5).\nAnswer: 5*sqrt(5)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 357890?\nAnswer: 2, 5, 13, 2753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -29c - 3?\nAnswer: -2a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -166, -180, -196, -208, -210, -196?\n\"Answer: d**3 - 7*d**2 - 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 76 = 6. Solve -2*i = -3*t + x, -5*i + 11 = -0*i + 4*t for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 15459, 43518, 96787, 187872, 329379, 533914, 814083, 1182492?\n\"Answer: 2101*h**3 - h**2 + 13355*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 5332, 21303, 47920, 85183, 133092?\n\"Answer: 5323*c**2 + 2*c + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**2 + 1922872*s + 1922876.\nAnswer: -4*(s - 480719)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.432912217 rounded to 4 decimal places?\nAnswer: -0.4329","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-seven quarters of a millennium?\nAnswer: 81000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25957 is divided by 118?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -11*k**3 - 6. Let j(h) be the first derivative of -11*h**4\/2 - 11*h + 206. Determine 11*b(l) - 6*j(l).\nAnswer: 11*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.0068 + -24.9068. Let x = 24.991 - -0.009. Let b = x + d. Sort 5\/2, -9, b in decreasing order.\nAnswer: 5\/2, b, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - 4)*1\/(-2). Let z be (b - 0)\/((-1)\/(-5)). Let y(d) = -387*d - 4644. Let v be y(-12). Solve 5*i + z + 5 = v for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 4*n + 34. Suppose -5*d = d - 138. Suppose -b = b + f + 18, -b = 4*f + d. Let i be p(b). Solve -2*r - 3*s - i = 0, -r = r - s + 6 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 0*l + 2*l + 5*l + 12*l - 21*l. Let h(n) = 2*n + 682. What is f(h(q))?\nAnswer: -4*q - 1364","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 2*t - 538 = 0, 6*c - 3917 = -2*t - 675. Calculate the lowest common multiple of 846 and c.\nAnswer: 25380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*g - 21*g - 5*g)*(-2*g**2 + 2*g**2 - 2*g**4).\nAnswer: 74*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 178600?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.524 - 3.476. Let q be 1\/12 + (-3)\/(-12). Which is the closest to q? (a) l (b) 1\/2 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3.202121g?\nAnswer: 3202.121","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6916 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 3*c = 106 - 271, -5*c + 51 = -s. Does 9 divide ((-24)\/(-14))\/((-2)\/s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21870215*x**5 - 2*x**4 + 386437224*x**2 wrt x.\nAnswer: -1312212900*x**2 - 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of b**5\/20 - b**4\/3 + b**3\/2 - b**2\/2 + 8*b. Let h be l(2). Put h, 0, -4 in increasing order.\nAnswer: -4, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 732*16\/(-192) + 72?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 207 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 + 3*c - 13. Let g be i(2). Let u(a) = -3*a - 9. Let r be u(-5). Let o be (-15)\/r - (-3)\/(-6). Is o smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -8*c**2 - 227*c - 1063. Give n(-23).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3*-146.84\nAnswer: 440.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 0.25\nAnswer: -1.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 7:28 AM?\nAnswer: 1:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81105140.\nAnswer: 2, 5, 4055257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8 + 6)*-2*2\/16. Which is the second smallest value? (a) z (b) 0 (c) 4 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*h - 8190 = 454*h + 296*h + 90*h for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 6*x + 2. Let v be b(-15). Let a = -88 - v. Suppose -p + 2*p - 14 = 2*h, a = 4*p - 2*h - 80. Solve p = -4*m + 2 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -1, -1\/4, 3\/4, 1\/2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 48 + -55. What is the common denominator of 21\/11 and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 3*c - 7 + 0 - 1 - 1 + c**2. Let k be l(-5). Let u(h) = k - 4 + 3 - h. Let v(n) = -3*n. Give u(v(t)).\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 17934064 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 + -1)\/(-3 + 1 + 3). Let l(d) = d**3 - 3*d**2 - 7. Calculate the remainder when (t + -2)*-54 + (-6)\/2 is divided by l(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-50)\/140 + (-2)\/(-4). Let w = 1 + -3. Which is the second biggest value? (a) -3 (b) g (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 3*g + 2*n, g + 2*n = -2*n + 16. Suppose -10*i + g*i + 24 = 0. Find the third derivative of -2*j**2 + 7*j**6 + i*j**3 - 12*j**3 wrt j.\nAnswer: 840*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134451147?\nAnswer: 3, 17, 59, 44683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -86754*d**5 - 94488*d**2?\nAnswer: -5205240*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 13 = a + 3*a, 3*m + 3*a - 15 = 0. Do -57 and m have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1811751 + -20?\nAnswer: -1811771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 192991 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**12*y**0*(y**(1\/9))**(1\/4))**8 assuming y is positive.\nAnswer: y**(866\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1662070, 1662066, 1662062?\n\"Answer: -4*c + 1662074","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 81 and 135?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a\/(a\/a**(4\/3)*a)*a*a**7*(a**1)**5)\/((a*a\/a**(-7))\/a*a**7*(a**4\/a)\/a*a**(-3)\/a*a) assuming a is positive.\nAnswer: a**(4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -3357*k**2 - 4*k. Let z(w) = 889*w**2. What is u(z(f))?\nAnswer: -2653107597*f**4 - 3556*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, 3.\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.22 and -8286.\nAnswer: 1822.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11 and 4839.\nAnswer: 53229","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -59592, -59612, -59632?\nAnswer: -59652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -12122211112 (base 3) to base 9\nAnswer: -178745","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sz when two letters picked without replacement from kzzkkskskkk.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ib when two letters picked without replacement from ddihdahbbhbhhabbhoa.\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 115035855197 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 352670982?\nAnswer: 2, 3, 67, 877291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.4 + 2.4. Let c = 13 - 10. Let z = c - a. Is -2 at most as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134*y = -6859*y - 1498*y - 608502 for y.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 150492163 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/4 of a millennium?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 8 + (4 - 7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (10 - (12 - 6))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1099444256?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(18) + sqrt(2) - sqrt(2)) + sqrt(8)*1 + 1 + 1*sqrt(22)\/(sqrt(704) - (sqrt(704)*2 + sqrt(704))) + 0)**2 + 4.\nAnswer: 79*sqrt(2)\/8 + 6881\/128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/5 (b) -49 (c) -23\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - 3b470b?\nAnswer: -3b4707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -7*z**2 - 63*z + 13. Give m(-9).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {u: 2, m: 10}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 8*k - 10*k - 2)*(-22*k + 22*k - 10*k**2) in the form z*k**2 + d + q*k + y*k**3 and give z.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -711 + -1?\nAnswer: -712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 + 7*t**2 - 8*t + 6. Let d be r(-8). Suppose -d*q + 240 = -q. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*(5\/10)\/((-2)\/(-70)). Let n = 103\/3 + f. Which is the biggest value? (a) 1 (b) 4 (c) 8 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zduu when four letters picked without replacement from zzzluzszdsddadu?\nAnswer: 1\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12 or -11791\/883?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 425*p - 35. Let q(w) = -25*w + 2. Give -2*d(c) - 35*q(c).\nAnswer: 25*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 195802?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2161772 (base 9) to base 5.\nAnswer: 244201113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -24045142 - -5?\nAnswer: -24045133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -33*d**2. Let g(c) = -3*c**2 + 2*c. Let m(h) = 4*h + 11*h - 10*h**2 - 8*h. Let i(n) = 7*g(n) - 2*m(n). What is i(z(l))?\nAnswer: -1089*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -144*p**3 - 147*p**3 + 303*p**3.\nAnswer: 12*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d - 4d8?\nAnswer: -4cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 9 + 1 + 1356\/96 + -26?\nAnswer: 17\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10110100 (base 3) in base 6?\nAnswer: 15400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((9\/(-12))\/3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w - 1. Let p be i(-3). Round p to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v - 13. Calculate p(-10).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 2 = 3*q - 6*q, 3*k - q + 10 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 195 and 68340?\nAnswer: 888420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 23334957 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: Collect the terms in -4362*u - 4363*u - 10*u**2 - 187 + 8730*u.\nAnswer: -10*u**2 + 5*u - 187","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 33 * 0.36\nAnswer: 11.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 + 2. Suppose 5*g = -0*g. Let p be r(g). Suppose 25*z = 17*z + 24. Solve -z*q = 7 + p for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 3002783?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5\/2 (b) 13 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + -73187?\nAnswer: -73191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q**3 - 37*q**2 + 49*q - 14. Is 13 a factor of h(19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26*7.\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 5*j - 2*g, -5*j + 3*g - 8*g + 15 = 0. Suppose j*y = 7*y + 9. What is the closest to 1 in y, 2\/3, -6\/5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1400 - 407 - 1980942*f + 1980941*f in the form o*f + j and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - ((1 - 0 - 0) + -134 + 137)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -945, -1566, -2199, -2850, -3525, -4230?\nAnswer: -4971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (968\/(-48))\/(-11)*((-1)\/(-44) - (-90)\/495).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -54 (b) 2\/15 (c) -0.3 (d) -2 (e) 29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1256902*c*p + 1172*c - 686 with respect to p.\nAnswer: -1256902*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.055310199 rounded to five decimal places?\nAnswer: 0.05531","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qkqj when four letters picked without replacement from rqqqqkqqbjbqkqkbqqvq?\nAnswer: 11\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.4 (b) -0.01 (c) -0.49 (d) -274\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -180, -362, -544?\n\"Answer: -182*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 110278?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of -11*x**8\/14 - x**5\/30 - 43*x**4\/8 - 593*x**2. What is the third derivative of m(h) wrt h?\nAnswer: -15840*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -146.479919 rounded to 1 dp?\nAnswer: -146.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -11, -4\/9, -0.24, 4\/3?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, w: 6, v: 4, s: 1, m: 3, h: 3}. What is prob of picking 1 h and 1 m?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -184 + 177 + 2 + -5 + 1 + -2?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78582068.\nAnswer: 2, 1307, 15031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 222 - 163 = 0. Let c = t - -155. What is the remainder when c is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, 5, 50 in descending order.\nAnswer: 50, 5, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 800724283 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122 = -s - 10*v, -v = -249*s + 244*s - 2. Solve 0*o**s + 0 - 4\/13*o**3 + 2\/13*o**5 + 2\/13*o + 0*o**4 = 0 for o.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + -14. Let d = v + 32. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 804415?\nAnswer: 5, 160883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.67 and -7?\nAnswer: 4.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9283202, 9283204, 9283206, 9283208, 9283210?\nAnswer: 9283212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 PM and 11:51 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/8)\/((-950)\/400)\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*d + 18063 + 5667. Is 15 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 357, 2, 0.07, -686, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.8156966 to 1 dp.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 8:11 PM?\nAnswer: 6:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -53723*h - 4512724. Give i(-84).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25576*f + 51123*f - 25523*f.\nAnswer: 24*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6.6 + 6. What is the third biggest value in 4, p, -0.3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -5*g, -4*z + 0*g + 86 = 2*g. Let a = z + 6. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1002960)\/(-270) - ((-16)\/(-6) - (6 - 4))?\nAnswer: 2, 3, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, u: 2, j: 1}. What is prob of sequence uuk?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -74101.423 rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26780 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -91, -87, -83, -79, -75, -71?\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 AM and 9:27 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 201101333311 (base 4) to base 2\nAnswer: 100001010001111111110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13 and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 226068 is divided by 56494?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of -p**6\/200 + 98*p**5\/25 + 198*p**4\/5 - 3882*p**2 - p. Factor o(l).\nAnswer: -3*l*(l - 396)*(l + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*x - 2 = -52*x + n, -2*n - 4 = -4*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 + 9*d + 9. Is p(-14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 57 and 722.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 1.757, 1\/6, 0.276, 1, 5\/2, 0.1?\nAnswer: 0.276","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(7) + -1) + 3.\nAnswer: -2 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10558*y**3\/11 - 1055796*y**2\/11 + 15510102*y\/11 - 5876\/11 = 0. Calculate y.\nAnswer: -113, 2\/5279, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) 1013\/5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 1 - 5 - (12 + -1167 + 4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153*l - 222*l + 263 = 2138 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 756 + -751.01. Let v = 0.8 - 0.79. Let w = v + h. Which is the third biggest value? (a) w (b) -0.06 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 67655280*n**3 - 27*n - 202334 wrt n?\nAnswer: 405931680*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of -2*g**3\/3 - 1. Let c(y) = 3*y + 22 - 22. Determine c(m(u)).\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*z - 419 = -45. Solve 0 = -0*o - 3*o + d - 14, 0 = -3*o + 5*d - z for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -610 - -674. Let n be d\/(-80)*(-1)\/(-8). What is the closest to -0.05 in -0.3, -0.01, n?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(((-12)\/15)\/((-6)\/(-15)))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10467232 to the power of 1\/2, to the nearest integer?\nAnswer: 3235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -755*w + 4450 = -80 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7706790 to the nearest integer?\nAnswer: 2776","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 6) to base 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - n - 4 = 0, 0 = 4*h + 3*n - 8*n + 2. Suppose 2*l = -h*d + 3*l + 2, -3*l - 15 = 3*d. Let x(z) = -6*z**3 + z**2 - 1. Calculate x(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11.06 + -12.1. Let y = 0.15 + s. Let l = y + 0.49. Which is the nearest to 0.1? (a) -2 (b) -1.3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 569 and 144918.562.\nAnswer: 145487.562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 2)*(5*q + q - 4*q) + q - 2*q + 2*q - q + 3*q - 8*q - 10*q - 8*q + 5*q - 2*q + 0*q + 3*q + 12 - 7*q - 12.\nAnswer: -26*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-6 + 30\/9)\/((-2)\/(-3))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.7 and -27.\nAnswer: -18.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2080540, 2080539, 2080538?\nAnswer: 2080537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from {l: 4, g: 2, c: 1, d: 1, s: 3}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -108a8 (base 12) in base 5?\nAnswer: -1201031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 23977 (c) -2\/5 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80511?\nAnswer: 3, 47, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of -8\/3*r**3 + 0*r**2 + 0*r - 213. Let k(a) = -4*a**2 + 7. Let b(t) = 2*t**2 - 3. Let g(n) = -7*b(n) - 3*k(n). What is g(l(u))?\nAnswer: -128*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -16257714 divided by 5\nAnswer: -16257714\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*n*s**3 + 48988*n*s**2 - 2*n*s + 19209*s**4 wrt s.\nAnswer: -66*n + 461016*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178 is divided by 47?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*(u\/u**(-1\/4))\/u*u)*u)**29*u**(-4)*u**(1\/7))**0 assuming u is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 4) to base 6\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qluqnalnlsln. Give prob of picking 1 u and 1 q.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 159582740, 319165483, 478748226, 638330969, 797913712?\n\"Answer: 159582743*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19 + -10.5. Let s = -9 + t. What is the third biggest value in -4, 2\/3, s?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (-2 - -5) + -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8985421294?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4615 + 47308*q - 47405*q - 623.\nAnswer: -97*q + 3992","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lff when three letters picked without replacement from lppllfplfpfpff.\nAnswer: 10\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5534255 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 72?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 5*f = 10, 123*g - 119*g - 60 = -8*f for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2739257 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1905, 1487, 777, -237, -1567, -3225, -5223, -7573?\nAnswer: -10287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6894 - -6893.8849. What is n rounded to 2 dps?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + 3*w - 12, 244*p - 5*w = 241*p + 18. Solve -3*r = p*r - 36 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g**2 + 5*g - 6*g + 2*g - 9 + (-3*g**2 + 2*g**2 + 0*g**2)*(-4 + 2 + 3) + 0 + 0 - 2*g**2 to the form r + w*g + k*g**2 and give r.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7989893 to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k - 9. Suppose 5*p = -0*p + 30. Let b be h(p). Let y be (100000\/b)\/((-3)\/(-63)). What is y rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1124 + -22222142?\nAnswer: -22221013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*8\/(-4) - -40. Let t = i + 21. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*q + q + 4*q)*(-1 + 1 - 4*q) + 140*q + 17*q**2 - 140*q as l*q**2 + i + n*q and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 120497?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 2 + 9*u + 45*u + 72*u in the form d*u + w and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 + 19*l - 37. Let o be s(-21). Let x be (-1)\/(-6) - 2\/(-6). Which is the second biggest value? (a) -2\/11 (b) o (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -11a4 - -12?\nAnswer: -1192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 2859 = -5*o. Suppose -h + 4*s - 297 = 230, 0 = 4*h + 2*s + 2000. Let v = h - o. What is v rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38\/(-19)*((-6)\/(-11))\/3.\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 185913126 is divided by 130?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -272*o**2 - 3*o**3 + 207*o**2 - 199*o**2 to a*o**2 + b + t*o**3 + n*o and give a.\nAnswer: -264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -62920 times -0.5\nAnswer: 31460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 10 + 17 - 606*p - 6 to n + q*p and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2\/8 - 192272*y - 73937043968.\nAnswer: -(y + 769088)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 9, -5, 315\/4, 134, -4, 0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14260 and 1380?\nAnswer: 42780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2214 and 563422.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -23200 - 12?\nAnswer: -23212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 2*j = -z + 14, 0 = 5*j - 15. Factor z*i**2 - 6*i**3 - 3*i**4 - 5*i**2 - 4*i**4 + 4*i**4.\nAnswer: -3*i**2*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 3*k**2 + 3*k + 2. Let b(m) = -4*m**2 - 4*m - 1. Determine -2*b(n) - 3*q(n).\nAnswer: -n**2 - n - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*b*j*r + b + j*r**2*x - 16*j*r**2 + 52*r**2 + x with respect to j.\nAnswer: -3*b*r + r**2*x - 16*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**3*k**(-5))\/(k*k\/k**0)**(-3\/29)*((((k*k\/k**(-2\/17)*k)\/k)\/k)**8)**(-8\/3) assuming k is positive.\nAnswer: k**(-36437\/1479)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -12, -1, 15.\nAnswer: -12, -1, -0.4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -807 by 12.\nAnswer: -269\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5533?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17\/70 - -1\/10. Let z be 12\/(-48)*0\/(-2). Is o at most z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -1. Let v = -207 + 219. Suppose -48 + 0 = -v*l. Put i, -0.1, 2, l in descending order.\nAnswer: l, 2, -0.1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -3, 0.07, -2\/7, 0.5, -0.02?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 58806.52 to the nearest 100.\nAnswer: 58800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-31)\/((-4836)\/24) - (-6)\/(-39).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12424661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 149054637?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2. Let c(a) = 80*a**2. Calculate -c(g) - 20*y(g).\nAnswer: -100*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(162)\/sqrt(600))\/(sqrt(1296)*2*6*-5).\nAnswer: sqrt(3)\/1800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 43965098 to the nearest integer?\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 38 + 404.\nAnswer: 442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - x + (252*x + 191 - 191)*(-3 + 1 + 5).\nAnswer: 755*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.3336, -1 in decreasing order.\nAnswer: 0.3336, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 144a0 + -1?\nAnswer: 1449d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -4*-57\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -172210\/9 - -19134. What is the third biggest value in -3, -26, r?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 16*n**2 - 11. Let h(x) = 3*x**2 - 2. Suppose 0*r + 11 = -r. Let w(b) = b**2 - 8*b + 17. Let k be w(5). Calculate k*j(o) + r*h(o).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6295 is divided by 3110.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -189*h + 180*h. Let s(z) = 69*z - 135. What is s(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-45 - (11 + 18)) + -1 + -6.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27 - -17 - (122 + -111)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, o: 2, h: 1, w: 6}. Give prob of sequence htwt.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -4*x**2 + 0*x**3 + x**3 - 8 - 2*x**3 + 4*x + 3. Let b be t(-5). Solve 0 = -b*m - 4*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -187*a**3 - 13 - 18 + 31 - 152*a**2 + 174*a**3 in the form r*a**2 + y*a**3 + u*a + i and give y.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 156*m**2 + 9*m + 148*m**2 + 160*m**2 - 604*m**2 + 139*m**2. Let w(s) = -s - 2. Let i(k) = -4*k - 9. Let u(y) = -4*i(y) + 18*w(y). Calculate t(u(j)).\nAnswer: -4*j**2 - 18*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -20*k**2 - 80*k - 315. Let d(r) = 3*r**2 - 1. Let p(f) = 5*d(f) + g(f). Factor p(j).\nAnswer: -5*(j + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78844 is divided by 224.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 186162 to the nearest integer?\nAnswer: 431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 66 * 1.013\nAnswer: 66.858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*m**6 + 85765*m**5 + 4299228*m**2 wrt m?\nAnswer: 240*m**3 + 5145900*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = -4*i - 14, -3*i - 3*f - 915 + 909 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**2 - 490*j + 19995.\nAnswer: -5*(j - 31)*(j + 129)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**2\/(((r\/(r\/(r*r\/(r*r**(1\/2))*r)))\/r)\/r))**(1\/38)*(r**1)**50\/(r**(-6)\/(r\/r**(-5))) assuming r is positive.\nAnswer: r**(4717\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 266386, 266167, 265934, 265681, 265402, 265091, 264742, 264349?\n\"Answer: -v**3 - v**2 - 209*v + 266597","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 499071?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -13413620.57 less than 39.95?\nAnswer: 13413660.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of -a**7\/84 + a**6\/15 - a**5\/8 + a**4\/12 - 19*a. What is r in k(r) = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -45*d - 1. Let y(l) = 435*l - 867*l + 434*l. Give y(t(z)).\nAnswer: -90*z - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/(-400))\/(4\/((-48)\/(-3)))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1, 19, -25\/119, 157?\nAnswer: -25\/119","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 + 3*r + 7. Let x be s(4). Let c(v) be the first derivative of -1\/3*v**x + v - 1\/4*v**4 - 1 + 1\/2*v**2. Factor c(g).\nAnswer: -(g - 1)*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.111*-0.3\nAnswer: -0.0333","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(-40)*80\/(-280)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -19*c + 21. What are the prime factors of f(-11)?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 526\/3 - 2579\/15. Calculate the common denominator of q and 54\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 27 = 2*f, 4*f = 3*x - 21 - 8. Let o be 14\/8*(-3 - f). Let z be (1 + 1)\/o*-3. What is the closest to -0.1 in z, -6, 1\/3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s + 123. Let c be r(-31). Suppose -5*l - 4*v + c = 0, -2*l - 3*v + 19 + 15 = 0. Calculate the remainder when 136 is divided by l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36 and 16630767.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -67799808*z**2 + 159983947.\nAnswer: -135599616*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = b + 5*n, -n - 113 = -5*b - 4*n. Let m = -8 + 22. What is the remainder when b is divided by m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-20)*25*1\/(-5)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -248*n - 251*n = -494*n + 30 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 + 1)*(5*a - 4*a + 3*a)*(-3*a - 1 + 1) to the form y*a**2 + m*a + b and give y.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*t + 581 = 2124 - 577 for t.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5947 is divided by 1067?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*m + 13*m + 2*n = -10, 5*n = -5*m + 5 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/2, -0.5, -3, -4, 0.3, 0.5, -55.1317?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 26\/5 of a centimeter?\nAnswer: 52000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 4*g - 37. Let p = -14266 + 14261. Let z(a) = 9*a - 75. Give p*v(n) + 2*z(n).\nAnswer: -2*n + 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41514 - 43438 = -14*s. Let w = s + -4309. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3871585163 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/9*(-6)\/(-4)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 353521 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s + 7. Let f be z(-5). Suppose -f*c = -22 - 26. Does 12 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 320816334 is divided by 160408167.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -200 (base 8) to base 13\nAnswer: -9b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 33. Let i(p) = p - 99. Let r be 432\/(-84) + 5 + 7\/((-147)\/144). Determine r*f(h) - 2*i(h).\nAnswer: -2*h - 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of 7*x**5\/60 + 4*x**3\/3 - 6*x**2. What is the derivative of a(p) wrt p?\nAnswer: 14*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 24, 37, 50?\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -5*j + 4*j**2 + 4*j**3 + j - 3*j - 3*j**3 - 4. Let u be c(-5). Suppose k = 27 + u. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -946346, -1892663, -2838978, -3785291, -4731602, -5677911?\n\"Answer: n**2 - 946320*n - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-12) + (-39)\/(-12). Suppose 80608 = f*s + 1636. Suppose 2*n = -167676 - s. Round n to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 2*p - 2236 = 0, -f - 3*p = -0*p - 566. Suppose 0 = 5*v - 5*x - 725, 2*x = 4*v + 3*x - f. Suppose -v = 4*k - 7*k. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111 = 2*k + k + 3*j + 117, -2*k + 2*j + 8 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 AM and 10:57 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-4*(sqrt(156)*3 + sqrt(156)) + sqrt(156))*6)\/(sqrt(300)*2 - -2*sqrt(363)))**2.\nAnswer: 11700\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -55*1 - 8\/(-2). Let p = 53 + f. Suppose -3*u - u - p*u = 0. Solve u = 5*x - 3*d - 7, 5*d - d + 4 = 4*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15b5d2 (base 14) in base 8?\nAnswer: -2716644","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of 0 + 2*l + 1\/2*l**4 + 0*l**2 - 1\/2*l**3. Does 19 divide m(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 0 - 13) + 4 + (173 - 170) + 28.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 8745?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of 2\/33*r**3 - 5\/11*r**2 - 12\/11*r - 36. Solve y(w) = 0 for w.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -6647 and -6423 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 330015841.\nAnswer: 43, 233, 32939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*a**3*c*v**3 - a**3*c*v**2 - 3*a**3*c*v - 7714*a**3*v**3 - 3517*c*v**2 wrt v.\nAnswer: -18*a**3*c - 46284*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - 3*b - b)*(6*b**4 + 0*b**4 + 6*b**2 - 3*b**4).\nAnswer: -6*b**5 - 12*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.37 + -0.03. Let r = 24 - 26. Which is the second biggest value? (a) p (b) 4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v**2\/3 + 40*v\/3 + 52 = 0 for v.\nAnswer: -3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -118082348, -236164694, -354247040, -472329386, -590411732?\n\"Answer: -118082346*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/((-3)\/3) + 2. Suppose d = 4*h + 2*y - 0*y - 18, 3*h = -4*y + 6. Calculate the remainder when (-3 - -1)\/(-2) + 9 is divided by h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 28 = 8. Solve 3*g = v*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 34125125*s + 6640074?\nAnswer: 34125125","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = m + 11 - 2, 3*y + 8 = -m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o + 10. Let w be d(-8). Let q be (w + -127)*-400*-12. What is q rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of 7*w - 1\/2*w**2 - 11*w**3 + 49. What is the second derivative of s(z) wrt z?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001288233 rounded to 5 dps?\nAnswer: -0.00129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 3*g = -3 + 14, 0 = -3*t + 4*g - 18 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2261.225 millilitres?\nAnswer: 2.261225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 2*h + b, -5*h + 128 = -14*b + 13*b. What is the remainder when 34 is divided by h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 78*x**4 - 6 + 1 + 229*x - 302*x + 5*x**2. Let t(n) = -n**4 - n**2 + 1. Let y(u) = -c(u) - 5*t(u). Find the second derivative of y(v) wrt v.\nAnswer: -876*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8400355?\nAnswer: 5, 1680071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15.9 - -16. Let k = -28 + 28. Which is the nearest to y? (a) -3\/5 (b) -0.2 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-1 + sqrt(63)))**2.\nAnswer: -150*sqrt(7) + 1600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7017, 7205, 7519, 7959, 8525?\nAnswer: 9217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 631\/552 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0154099469 rounded to six dps?\nAnswer: -0.01541","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -227, -453, -679, -905, -1131, -1357?\n\"Answer: -226*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.6438658 millennia?\nAnswer: 643.8658","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-4 - -15) - (-9 - -33)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a**4 - 6540*a**3 + 804595*a**2 + 2459490*a + 1648360 = 0 for a.\nAnswer: -1421, -2, -1, 116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 34445\/8 - 4306. Sort 222, 0, v, -0.3 in decreasing order.\nAnswer: 222, 0, -0.3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 + (-11)\/(-2))\/((-4)\/8104). Let g = -384927\/76 - u. Find the common denominator of g and 73\/10.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*k**3 + 2*k**3 + 2*k**3 + (-5*k + 3*k + 3*k)*(-2*k**2 + 3*k**2 - 2*k**2) + 10*k**3 + 34*k**3 - 18*k**3 + 0*k**3 - k**3 + 0*k**3.\nAnswer: 22*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 + 19*m - 85. Let y be a(10). Solve d + 4 = 2*u - 7, -5*u - 2*d = -y for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 773*q - 858 = 734*q for q.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of ((-5772)\/(-2))\/13*(-47)\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 1)*(-q**5 - 5*q**5 + 4*q**5 + (-5*q**3 + 3*q**3 - 2*q**3)*(108*q**2 + 65*q**2 - 100*q**2)).\nAnswer: -588*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 3\/8, -1760 in increasing order.\nAnswer: -1760, -0.2, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 - 44. Let y be (g - -3)*2\/(-6). Suppose 4*f - y*f + 26 = 0. What are the prime factors of f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37*a - 25*a - 18*a - 29*a to n + q*a and give q.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*4*(sqrt(5) - (sqrt(5) + -2)**2).\nAnswer: -60*sqrt(5) + 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-2*sqrt(180) + 0 - (-1*sqrt(180) + 3)) + 0 + (sqrt(180) - (sqrt(180)*1 - sqrt(180))*-6 - sqrt(180)))**2.\nAnswer: 180*sqrt(5) + 945","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7 or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 AM and 4:42 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-798)\/(-18))\/(-19)*(-1008)\/(-3136))\/((-1)\/(-148)).\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/7)*z\/(z\/z**(-2\/9))*(z**2\/z)**(-19\/5))\/((z**(-2)*z)\/(z*z**(-3))*(z*z*z*z*z**1*z*z)**(-1\/3)) assuming z is positive.\nAnswer: z**(-802\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - f = 15. Suppose -3*s + 0*s + 5*k + 29 = 0, -3*k = f*s + 3. Suppose s*l - 5*l = -10. Calculate the highest common divisor of 15 and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 2*r - 18. Differentiate 3 + 5*m**4 - r*m**4 - 2*m**4 wrt m.\nAnswer: -12*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v**2 + 1439 + 1434 + 1435 - 7*v**2 + 1433 - 5741.\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -o**2*z + 684*o**2 - 2434*o*z - 2*o wrt z.\nAnswer: -o**2 - 2434*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -66348 divided by 428?\nAnswer: -16587\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*y**2 - 12*y**2 - 4*y**2 + 2*y**2 - 5)*(-3*y**2 + 15*y**2 - 6*y**2).\nAnswer: 66*y**4 - 30*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 67517066 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-128)\/90)\/4 + 28\/126.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5 - 3 - 50\/19. Let w = 10851614\/133 - 81592. Let f = o - w. Put f, -5, 0.5 in descending order.\nAnswer: 0.5, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -191, -192, -193, -194?\nAnswer: -195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 - 3*r + 3. Let i = -6 + 8. Let j(x) = 3*x + 7. Let n(f) = -2*f - 4. Let k(q) = -3*j(q) - 5*n(q). Determine i*p(g) + 6*k(g).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of 1\/6*u**3 - 3\/20*u**6 + 0*u + 0 + 0*u**5 - u**2 + 0*u**4. What is the first derivative of a(m) wrt m?\nAnswer: -54*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9\/36*-1*1*4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 1. Suppose -q*l = 2*l - 32. Solve -4*s + l = -2*n, 5 = -5*n - 3*s - 2 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 5759.\nAnswer: 4\/5759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - -9) + -20 + (-1 - (-1 - -1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 0*j = j + 4, v = -3*j + 18 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + 0)*2 + 37. Let b be ((-20)\/i)\/((-2)\/7). Let u = -2.2 - -2. Which is greater: u or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35304148*y + 35304147*y - 43 = -10*c, 12 = 5*c - 12 + 9 for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 29199577 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1051, 1405, 1759, 2113?\nAnswer: 2467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w**2 - 8 + 3*w**2 - 7*w + 6 - 5. What is the hundreds digit of i(15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 10*h - w - 35338 = 0, -5*w - 47132 = -4*h. Suppose -h = -18*z + 3036. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(28)\/(1*sqrt(4)).\nAnswer: -6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(1800))**2 - (sqrt(2) + 4)*2*1.\nAnswer: -2*sqrt(2) + 1795","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 31\/55 + (-28)\/140. Let o = -2836\/11 + 258. Find y, given that -o*y**5 - 4\/11 - z*y**4 - 2\/11*y + 4\/11*y**3 + 8\/11*y**2 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2835047 is divided by 944911?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 3*t - x - 28, -34 = -4*t - 3*x. Suppose -u - 2*c - t = -2*u, -4*u = 2*c. Let a = -95\/3 - -31. What is the biggest value in u, a, -0.3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of s**5\/20 - s**4\/12 + 2*s**3\/3 - s**2\/2 - 48*s. Let i be m(-2). Let b be (1 - (-36)\/(-8))*60\/i. Solve 2 = -2*g + b for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 101122211222 (base 3) in base 8?\nAnswer: 631663","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 968 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is three sixteenths of a day in minutes?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -3814120 to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)*4*4 - ((sqrt(99) + sqrt(99) + -4)*3)**2)*-6.\nAnswer: -2880*sqrt(11) + 22248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, l: 1, n: 2}. What is prob of sequence nr?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((5*(sqrt(78) + sqrt(78)*-1) - sqrt(78)) + sqrt(78))\/(1*sqrt(6)*-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -4.3?\nAnswer: -2.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6343011237?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(1216) + (sqrt(1216) - (2*sqrt(1216))**2*5 - sqrt(1216)))*4 - ((-1 + sqrt(1216))*1 - (1*(sqrt(1216) + -1) + sqrt(1216))))*-4*-3.\nAnswer: -7004160 + 2880*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 499 - 249 - 250 + 9*l.\nAnswer: 9*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1.96*-4336.8\nAnswer: -8500.128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4168527\/8? (a) 0.3 (b) -4 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 70*l**3 - 20*l**2 + 20*l - 20. Let m(p) be the third derivative of p**6\/12 - p**5\/20 + p**4\/8 - p**3\/2 + 15*p**2. Determine -3*b(a) + 20*m(a).\nAnswer: -10*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11.95134*172.\nAnswer: 2055.63048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 5 (b) -1\/2 (c) -5 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 169 - 61. Find the common denominator of c and -43\/28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - -920?\nAnswer: 91b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) -3\/4 (c) -3 (d) -17 (e) -2 (f) -16\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 300791077 and 1601?\nAnswer: 1601","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/(-3))\/(1\/(-2)). Let t = 16 - 17. Is b != t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -43 + 53. Is 236694\/48 - q\/80 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38, -160, -356, -620, -946, -1328?\nAnswer: -1760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 6*g - 5. Let v be r(6). Let b = v - 23. What is the smallest common multiple of b and 108?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1592449237 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-3\/5)*i**5)**38)**(-15\/7) assuming i is positive.\nAnswer: i**(-2508\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 0*g - 16 = 2*h, -3*g + 7 = h. Suppose -13*q + 1520 = -g*q. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(500) - -3*(0 + sqrt(500))) + sqrt(500) + 4*sqrt(500) + sqrt(500) + 0 + (sqrt(500)*-1*3 - (0 + sqrt(500) - sqrt(500))*-5) + 2 + 2)**2.\nAnswer: 560*sqrt(5) + 24516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 540, -2\/1085, 1 in increasing order.\nAnswer: -2\/1085, 1, 540","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(847) - 2*(sqrt(847) + -1))**2 + 5)*-4.\nAnswer: -3436 + 176*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 - s**2 - 52. Let a(d) = -d**2 + 1. Let y(n) = a(n) - f(n). Let j be y(0). Suppose -q - j = -916. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -459 + 457 + -15 + -1.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23883 or 22318?\nAnswer: 22318","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -18 + 99104824\nAnswer: 99104806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (4 + (-4)\/(20\/25)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z**(-9)))\/z*z\/(z**(1\/4)*z)*z**3\/(z\/(z*z**(-1\/4))))\/(z**(-4\/7)*z*(z*z**(-4)\/z)\/z*(((z*z**(-2)*z)\/z*z*z)\/z)**(-1\/14)) assuming z is positive.\nAnswer: z**(211\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a - 6. Let v be c(-10). Suppose 6 = -j + 2*h, j - v*h + 0*h + 16 = 0. Suppose j*d = -d + 75. Is d a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -6. Let x be 3\/((-3)\/(-25)*5). Suppose m + 2 = 3*m + 5*y, 3*y = x*m - 5. Solve 0 = -u + c + m for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -11*o + 50. Suppose -4*k - z + 8 = 0, -5*k - o*z + 9*z = 11. Let c be 3\/(9\/(-4))*-3. What is the greatest common divisor of k and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r - 6. Let i(h) = 3*h + 38. Let x(p) = -10*g(p) - 2*i(p). Let n(d) = 3*d + 3. Let w = 126 + -124. Determine w*x(b) + 11*n(b).\nAnswer: b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/(-12) + 297\/44*(-22)\/(-66)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7204, 8914, 10598, 12244, 13840, 15374, 16834?\nAnswer: 18208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uavuqauvvvvuvcvv. Give prob of picking 1 q, 1 u, and 2 a.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 4*t**2 - 18*t + 14. Let c(b) = -b**2 + 4*b - 3. Let v(p) = 9*c(p) + 2*y(p). Let k(a) = 22*a**2 - 4. What is k(o) + 4*v(o)?\nAnswer: 18*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, 26, 0.03 in ascending order.\nAnswer: 0.03, 1, 2, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*l**2 - 158*l**2 + 59*l**2 + 49*l**2.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -676 + 1530. Let t = u + -579. Is t a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 8*p + 12. Let g(b) = b + 7. Let w be g(p). Suppose 2*l = 10, 56 + 348 = w*r - 4*l. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -3*y + 2. Let w(b) = 99*b**2 - 2. Give w(s(n)).\nAnswer: 891*n**2 - 1188*n + 394","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1414.3143 + 0.0757.\nAnswer: 1414.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a tonne in kilograms?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2610595 years to centuries.\nAnswer: 0.002610595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u + 4*u + 0*u + (-u - 2 + 2)*(2 - 2 - 1) - 1 + 2*u + 1 + 0 - u + 0)*(-577*u - 1322*u + 376*u).\nAnswer: -4569*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 565692917 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 268761, 537525, 806289?\n\"Answer: 268764*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 - n. Let j(f) = 110 - 5*f**3 - 14*f**3 + 15*f**3 - 111 - 7*f**3 + 5*f. Give -5*h(c) - j(c).\nAnswer: 6*c**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is c (base 15) in base 2?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4\/3 and 51\/178798?\nAnswer: 536394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1106712 (base 9) in base 12?\nAnswer: 248702","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.07651 + -0.07651. What is the nearest to -5\/7 in 6, 4, n?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -2\/11 (b) -5\/2 (c) -0.2 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80724 = -49*c + 56*c. What is the hundreds digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -6*560\/3*-125. Round j to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 1 = 9. Suppose 0 = -2*y + j*c + 24, 0 = -c - 2 - 2. Let k be (4\/(-5))\/(4\/(-10)). Calculate the greatest common divisor of y and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - 44?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13669078.\nAnswer: 2, 31, 220469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3489, 6979, 10469, 13959, 17449?\nAnswer: 20939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, -80, -2 in increasing order.\nAnswer: -80, -4, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-10\/9)*v\/((v**(2\/15)\/v)\/v))**27\/((v**0*v*v*v\/v**(-1\/4))\/((v\/(v*v*v\/v**(-2)*v))\/v)**(2\/11)) assuming v is positive.\nAnswer: v**(9473\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-35)\/10)\/(51\/(-34))?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4257171623 to the nearest integer?\nAnswer: 65247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 676866322 a multiple of 638?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -25906 or 3\/13?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34690467.\nAnswer: 3, 7, 29, 56963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(-1)*7\/35)\/(129\/(-430))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 941 + 23*p**3 + p - 476 - 467 + 82*p**2 to the form c*p**2 + a*p**3 + y + r*p and give c.\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -1048755*g**2 + 15*g + 6. Let o be j(-6). Let k = 17065386911\/452 + o. Let q = 3\/113 - k. What is the common denominator of q and -77\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 960215917 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 99324 and 620?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 82884 smaller than 86043?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1216 - 1215.6. Which is the third smallest value? (a) 6 (b) u (c) -4 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 38851896?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/62271 and 76\/555.\nAnswer: 311355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/2 - 11333*s\/2 + 22674.\nAnswer: -(s - 4)*(s + 11337)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 17*v**2 - 10*v + 3. Let i be s(-4). Let w be ((-4)\/(-2))\/(9\/(i\/(-155))). Are 1\/5 and w unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - s = -2*s + 10, 0 = 4*s - 16. What is the second derivative of -5*l**3 + l**3 - 3*l**t + 5*l**3 - l wrt l?\nAnswer: -12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = m - 0. Suppose 5*f - 12 = -m. What is the remainder when 4 is divided by f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170 is divided by 92?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 44160.23 decades in centuries?\nAnswer: 4416.023","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -10*v**2 + 4*v + 3. Let o(k) = -23*k**2 + 9*k + 4. Calculate 6*o(d) - 14*q(d).\nAnswer: 2*d**2 - 2*d - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or -19746?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33856, 33862, 33870, 33880, 33892, 33906?\nAnswer: 33922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 5*w = 25, -2758768*p + 7 = -2758769*p + 2*w for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -238, -480, -718, -952, -1182, -1408?\n\"Answer: 2*g**2 - 248*g + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2708 by 26.\nAnswer: -1354\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*c + 2*c. Suppose 4*q = c*q - 15. Let o = q + -11. Solve o*l = l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*y**2 + 2*y**3 - 3*y**3 - 4*y**2 - 19 - y**4 + 21 + 19*y**2 to the form s*y + f + n*y**2 + z*y**3 + a*y**4 and give n.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45 divided by -732575.\nAnswer: -9\/146515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l + 2*l + l - l + 5 - 5 - 3*l - 3*l + 5*l - 3*l + 5*l - l + (-2 + 5 - 2)*(4*l + 2*l - 4*l) - 2*l + 2*l + 2*l - 50 + 62 - 49 - 52 + 2411*l + 88.\nAnswer: 2415*l - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 AM and 5:47 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(325) + sqrt(13) + 3 - (-2 + sqrt(325)).\nAnswer: sqrt(13) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*y - 3624*j + 3622*j - 11 - 1 = 0, -4*j + 56 = -4*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -34*o**3 - 1706*o + 171004 with respect to o.\nAnswer: -102*o**2 - 1706","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/5)*h**(2\/3))\/(h*h\/h**(-2\/5)*h*h)**(-11)*((((h\/(h\/(h*h**(-4)*h)))\/h)\/h)\/(h\/(h*h**(-4))))\/(h\/(h**(-6\/11)\/h)*h*h**(-2)*h) assuming h is positive.\nAnswer: h**(6323\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -36a818 + 52?\nAnswer: -36a776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -393428 take away 1.4615655?\nAnswer: -393429.4615655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from xuhzrruuuhru.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 422 = -0*n. Suppose 3*u + 744 = -5*o, u + 4*u - 10 = 0. Let x = o + n. Calculate the remainder when x is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 108\/(-8)*4\/(-6). Does 10 divide (-268)\/(-9) - (-2)\/k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 2*u + 557, 4*m + 5*u - 168 = 238. What is the remainder when 270 is divided by m?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a**4 + 2068*a**3 - 11652*a**2 - 9432*a + 19008 = 0. Calculate a.\nAnswer: -264, -3\/2, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.7 + 1.73. Let m be (8\/(-2704))\/((-3)\/(-18)). Let p = 389\/2873 + m. What is the second smallest value in -3, p, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = 4*y - 3 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -401*b**3 - 531*b**2 wrt b?\nAnswer: -2406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75) + sqrt(75) + -1 + 5 - sqrt(75))**2 + 0.\nAnswer: 40*sqrt(3) + 91","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 4503?\nAnswer: 13509","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/28)\/(55*(-1090)\/(-3150) + -19).\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -5*l**3 + 170*l + 328. Give f(-2).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (1 + -3) - (12 + -12).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 10 (b) -5\/4 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 708103 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*w - 2*t - 16, 0 = -176*w + 179*w + t + 6 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57) + 2*sqrt(8208))\/(sqrt(3) - (sqrt(3) - (sqrt(300) - (sqrt(300) - sqrt(300)*2) - sqrt(300)))).\nAnswer: 5*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151*t + 5*d - 269611 = -154*t, 2*t - 179738 = -2*d. Round t to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 2*a - 36 = 5*o, a + 10 = -2*o. Solve a*u + 5*d = -144 + 127, 0 = 3*u + 3*d + 3 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2211387 a multiple of 1469?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -51 + 21. Let j = -32 - i. Which is the fourth biggest value? (a) -0.07 (b) -3\/5 (c) 1 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 + 2*m + 2. Let c be o(0). Suppose -3*s + 5*d - 7 = 0, -4*d + 24 = s - c. Solve 11*y = s*y + 20 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 820, 823, 830, 841, 856?\n\"Answer: 2*g**2 - 3*g + 821","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**3 + 4*x**3 - 3*x**3)*(-x - 4*x + 13 + 2*x).\nAnswer: -6*x**4 + 26*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/60 and -19\/622760?\nAnswer: 1868280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -n**4 + 5620*n**3 - 130616*n**2 wrt n?\nAnswer: -24*n + 33720","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*j + 15*j + 66 = 55*j. Solve j = -20*d + 82 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/1428570 and -11\/455.\nAnswer: 9999990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 + 2*k - 5. Let r(d) be the first derivative of -d**2\/2 + 3*d + 74. Calculate 5*r(a) + 3*u(a).\nAnswer: -3*a**3 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -o**5\/5 - 238*o**4\/5 + 19094*o**3\/5 + 39368*o**2\/5 - 19093*o\/5 - 7826 = 0.\nAnswer: -301, -2, -1, 1, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/(-1))\/(-2 - -1). Let q(m) = m**3 + 5*m**2 + 2*m - 3. Let u be q(n). Sort -3, u, 0 in decreasing order.\nAnswer: u, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7668 divided by -3.\nAnswer: -2556","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4019 to the power of 1\/2, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -6 + -6 + 4 + 2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -4*l + 7*l. Suppose 0*g + 6 = l*g. Suppose 0 = -g*y - 0*y + 34. What is the remainder when y is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 AM and 12:35 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 629420.\nAnswer: 2, 5, 11, 2861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 47231.1777 to the nearest ten.\nAnswer: 47230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 268000 = 3*p - 5*p. What is p rounded to the nearest 10000?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 716 - 3552 = 4*m. Let q = m + 708. Put 2, -23, q, 4 in descending order.\nAnswer: 4, 2, q, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 0)*(7*l - 5*l - 7*l).\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = k + 2*f - 12, -3*k = 5*f - 11. Let v(q) = -6*q - 5*q + 7 - 3*q + 15*q. What is the least common multiple of k and v(9)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*n**2 + 18*n**2 - 2*n**2 + 25*n**2 to h + u*n + f*n**2 and give f.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13\/53 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -886?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*q - 6*q - 25*q + (0 + 1 - 4)*(0*q - 3*q + 2*q) + (1 + q - 1)*(0 - 2 + 0) + q - q + 4*q.\nAnswer: -39*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*c - 21*c - 240*c**3 + 54*c - 14*c - 475*c**3.\nAnswer: -715*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 AM and 2:39 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 - (-7 + -15)) + (12 - 9) + -58 + 1.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2996 is divided by 38.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -147 - -322. List the prime factors of w.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/(-13)*2*1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) 3\/2 (c) 89 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 285 = -7*q. Let p = q - 19. List the prime factors of p.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -2 (c) -6\/5 (d) 34 (e) 2\/29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1283297 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 916 is divided by 150?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-84)\/35 - (-2)\/5. Which is the biggest value? (a) 0.2 (b) 0.3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + 278\/238 + 34\/(-119). Is i < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*w**3 + 2*w**3 + 2*w**3)*(29*w - 29 + 19 + 9) as v + m*w**2 + u*w**4 + r*w + f*w**3 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42248399.\nAnswer: 42248399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 95383 to the nearest integer?\nAnswer: 309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 335*n**2 - n - 2. Let c(s) = s**2 - s - 1. What is -c(j) + m(j)?\nAnswer: 334*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 657 and 39007242.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 4:23 PM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1761 is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.481981*3.\nAnswer: 4.445943","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -126042197*s**3 + 97126738 wrt s.\nAnswer: -378126591*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/12*-2*(-2484)\/(-144)*(-16)\/4?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 46*k**3*t**3 - k**3*t - 272*t**4 + 6300*t**2 wrt t.\nAnswer: 276*k**3 - 6528*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-6))\/(16*(-8)\/(-4096)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.131236 to 2 decimal places.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 + 5*h - 1. Let z be a(4). Let l = -0.038 - 0.962. What is the smallest value in l, -1\/2, z?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g. Let j(u) = -4*u**2 - 11*u - 7*u + 3*u + 5*u**2. What is b(j(x))?\nAnswer: -x**2 + 15*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2818234 + -2?\nAnswer: 2818232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -0*w. Put w, 2, 5 in increasing order.\nAnswer: w, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -610*u = -606*u + 49*x + 133, -3*x = -3*u - 60 for u.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 + -13. Suppose -2*f = -0*f - 6. Solve f*v = -l - 13 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, b: 2, x: 2, c: 1, i: 1, a: 1}. What is prob of picking 1 b, 1 x, and 2 z?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.2428202 centuries?\nAnswer: 0.02428202","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5)\/(-45) - (-3179930)\/117 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of h**4\/4 + h**2\/2 + 17*h - 4. List the prime factors of i(0).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(((-176)\/11)\/8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 81938.76 months?\nAnswer: 6828.23","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 PM and 5:29 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -132 or -137?\nAnswer: -137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 160*d**3 - 17 - 2 - 162*d**3 + 3*d - 92 to y*d**2 + o*d + v*d**3 + c and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 34110*f**3 + f + 23373 wrt f?\nAnswer: 102330*f**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/sqrt(196) - sqrt(5)*1*4)*3.\nAnswer: -81*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -243, -250, -257, -258, -247, -218, -165, -82?\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -40 + 40 - 10*q + (-14*q - 10*q - 5*q)*(-3 + 5 - 4).\nAnswer: 48*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1028 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*m**2 - 9*m**2 - 15*m**2.\nAnswer: 49*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in -1\/2, -4\/3, 20, -0.1?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 786.4 + -786. Put i, -1\/3, -1\/14, 2 in increasing order.\nAnswer: -1\/3, -1\/14, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-56 + 0)\/4 - (20 + -459). Let s be 1*5*(-51)\/(-5). What is the highest common factor of w and s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10087438663 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (2 - -12)) + (89 - 83) - 3?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/1289 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -9788*m - 23. Is l(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*k - 29 = -3 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -4*k. Let b(l) = 10*l - 55. Let t(c) = c - 6. Let j(h) = -6*b(h) + 55*t(h). Let v(a) = -5*j(a) + 6*p(a). Let y be v(10). Which is bigger: 11 or y?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2120 and 73458.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2199976 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 2 u, and 1 d when four letters picked without replacement from {u: 9, g: 2, d: 5, c: 3}.\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 12 - 34 = -2*y, -4*y - 5*o - 409 + 349 = -0*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -423*q + 697 = 74*q + 12625 for q.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 932.063 years to decades.\nAnswer: 93.2063","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 - h**2 + 5*h. Let l(f) = -3*f**3 + 4*f**2 - 14*f + 1. Let z(s) = 4*l(s) + 11*v(s). Give z(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1070)\/(-3) + (-6)\/9. Is (o\/8)\/(2\/4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2128*b**4 + 2741*b**4 - 246*b - 279*b + 2326*b**4 + b**2 - 5918*b**4 + 3 wrt b.\nAnswer: 15324*b**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.115 - 0.315. Let t = 10.3 + -6.6. Let s = -3.61 + t. Which is the third smallest value? (a) -1\/3 (b) o (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o = 632 - 136. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n - 36. Let h(y) be the second derivative of -9*y**4\/4 - 2*y - 579. Calculate h(j(l)).\nAnswer: -27*l**2 - 1944*l - 34992","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 - (3 - 2) - -40 - 63 - (1 + -12).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 192 and 10224?\nAnswer: 40896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 1:49 PM?\nAnswer: 12:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 558a4 (base 11) to base 2\nAnswer: 10011110000101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 304.8 and -0.046.\nAnswer: -14.0208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.9833 - 0.0167. Let t = -0.05 - -0.02. Let n = -0.07 + t. Which is the smallest value? (a) -1 (b) w (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-9)\/6 - (-14)\/12. Let i = 1.53 - -0.17. Let o = -2 + i. Which is the closest to h? (a) o (b) -0.4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -6*l**2 - 2*l + 3. Let a(g) = 7*g**2 + 3*g - 4. Let k be -4 + -1 - (-176)\/16. Let h(y) = k*r(y) + 5*a(y). Determine t so that h(t) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-7)*k*k*k**8)\/(k**(2\/11)*k\/(k*k*k**9)))**(-2\/19) assuming k is positive.\nAnswer: k**(-16\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of -d**3\/3 - 9*d**2\/2 + 2*d - 21. Is l(-5) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2120)\/2650)\/(4\/40)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o + 38. Let g be m(26). Suppose -3068 - 2812 = g*s. What is s rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 691413?\nAnswer: 3, 230471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 44, 3 in ascending order.\nAnswer: 3, 4, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/5, -0.25, 1, 4\/5, -0.5.\nAnswer: -6\/5, -0.5, -0.25, 4\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40436 is divided by 433.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2024 and 96274596.\nAnswer: 192549192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 627 and 150.\nAnswer: 31350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 178*s - 1857. Let c be v(99). Round c to the nearest 100.\nAnswer: 15800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 - 22. Let w(p) = p**3 + 11*p**2 + 10*p - 2. Is w(d) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1544 and 3474.\nAnswer: 13896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2803648589 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s + 3. Let b = 105 + -91. What is the remainder when b is divided by z(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-40176)\/27*(-7)\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 - 12*h - 9. Give v(-11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -633 + 479778*s**2 - 479778*s**2 + 2*s - s**3 to x*s**2 + c*s + t*s**3 + b and give b.\nAnswer: -633","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 3)*(7*t**4 + 12*t**4 + 66*t**4) - 5*t**4 + 4*t**4 - t**4 + 0*t**4 - 2*t**4 + 5*t**4.\nAnswer: 171*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 79 and 1027.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000951753 to six dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxz when three letters picked without replacement from {x: 7, z: 5}.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1385 + -2765\/2. Let t(j) be the first derivative of 5\/4*j**4 + 2 + 0*j + 0*j**3 - z*j**2. Factor t(p).\nAnswer: 5*p*(p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 49234 and 10038.\nAnswer: 478","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15.8 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 72 + -99 - (-6 + -2 + -6) - 20.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -10*t. Let m(z) = -3*z**2 + 86*z. Calculate m(n(v)).\nAnswer: -300*v**2 - 860*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, z: 1, u: 3}. Give prob of sequence ua.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32.87 - 8.87. Which is the nearest to -8? (a) y (b) 0 (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 - 15*d**2 - 2*d - 14. Let v be c(-15). Let j = 49661\/8 + -6219. Calculate the common denominator of j and (-1*(-305)\/10)\/v.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o**3 - 2*o**3 - o - 82*o**4 + 5*o**3 + 34*o**4 - 15 + 14 to the form r + s*o**3 + f*o + a*o**2 + d*o**4 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 3*r + 1. Let g be n(2). Let h = 4137 + -4135. Solve -g = 3*a + h*y, -a = -0*a + 3*y for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 238*g - 9010. Let v be r(38). Calculate the greatest common divisor of 11509 and v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 1875?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.02189 and -29484.\nAnswer: 645.40476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4698 to 1 decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 171 or 3.478?\nAnswer: 3.478","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4300, 4483, 4980, 5947, 7540, 9915, 13228, 17635?\n\"Answer: 26*q**3 + q**2 - 2*q + 4275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iillliiilv. Give prob of picking 2 l.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6336.054 millilitres to litres.\nAnswer: 6.336054","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.31 and 0.4.\nAnswer: 0.124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 537 is divided by 50.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-2))\/(((-30)\/9)\/(-5)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 8*i**3 + i**2 - 9*i - 5. Let q = -16 + 9. Let d(l) = -7*l**3 + 9*l + 5. Let x(y) = q*d(y) - 6*k(y). What is the units digit of x(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a**2 - 6*a - 1. List the prime factors of q(7).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/5 of a millennium?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -8 (b) 0.3 (c) 3 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 133198498319 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -39, 2\/3, 29, -2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -496 = -23*h - 404. Let q = 2 - -4. Let r = q + -4. Solve 0 = -r*a - 2 - h for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, i: 6}. Give prob of sequence yyi.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 18*n - 38. Suppose -o = -7*o - n*o. Solve o = 3*d - 4*d - 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11704991 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-0.123\nAnswer: -0.0492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3626 + 16254. List the prime factors of x.\nAnswer: 2, 7, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21*((-51)\/45)\/((-118)\/(-177)*(-15)\/(-50)).\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -11615, -49078, -111511, -198908, -311263, -448570, -610823?\n\"Answer: i**3 - 12491*i**2 + 3*i + 872","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -2*q**4\/9 - 50*q**3 + 24208*q**2\/9 - 40480*q + 1523200\/9 = 0.\nAnswer: -272, 7, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 2*m - 311 + 139, 170 = 2*m - 5*d. What is the highest common factor of 125 and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -126*z - 11. Let i(u) = -130*u - 9. Calculate -7*f(d) + 8*i(d).\nAnswer: -158*d + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 3*c - 37*c**2 + 38*c**2 - 5 + 0*c in the form h + r*c**2 + j*c and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 91291, 181782, 271471, 360364, 448467, 535786, 622327?\n\"Answer: a**3 - 407*a**2 + 91705*a - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 92\/(-72) + ((-81)\/513)\/(12\/(-114)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = -2*g - 3*k - 1, 5*k + 15 = -5*g. Let d be g\/((6\/(-4))\/3). List the prime factors of 1\/d - (-27)\/4.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -91 + 99. Let u = 62 - -10. Calculate the highest common divisor of j and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2376 - 2375.6. Let t = -1 - -1.1. Which is the fourth smallest value? (a) t (b) s (c) -4 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 s, and 1 d when three letters picked without replacement from {r: 1, l: 2, d: 2, s: 8, b: 2}?\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -6*(-25)\/(-375)*(-10)\/4. Let n be (3\/6 - -3)*2. Calculate the greatest common divisor of n and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 2*q + 3*q - 4 = 0, -3*z - 4 = -q. Let c(w) = -w**2 + 7*w + 3. Let k be c(7). Suppose k*p - 9 = -z*p. Solve p*r + 20 = 7*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 247 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1188348 and 9212.\nAnswer: 1188348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -d + 53, 3*d + 2*m - m = 187. Calculate the remainder when 188 is divided by d.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = x, 937*t = 952*t - 4*x - 50. Let 2\/5*l**t + 10*l + 0 = 0. Calculate l.\nAnswer: -25, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -3*w**4 + 18*w**3 + 63*w**2 - 102*w - 144 = 0?\nAnswer: -3, -1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3814963?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of f**6\/24 + 29*f**5\/12 + 275*f**4\/24 + 45*f**3\/2 + 10*f**2 - 36. Find s such that g(s) = 0.\nAnswer: -27, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1865484000 rounded to the nearest 1000000?\nAnswer: -1865000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -495*y**3 - 486*y**3 + 976*y**3.\nAnswer: -5*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -153 - -131. Let j = i - -28. Which is greater: -15 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.12087 months to millennia.\nAnswer: 0.0007600725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 56652410 and 5620?\nAnswer: 2810","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 379708 and 3808.\nAnswer: 51640288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1\/2, 0, 7\/6, -0.17, -0.21, -16?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + 9 + 17 + -9. Suppose -1493 = -5*d + 27. What is the greatest common divisor of o and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2828 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 115?\nAnswer: 3\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 - -15. Differentiate -19 + l + 6 + v + 2 with respect to l.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 4109112*d**2 + 1 - 4109133*d**2 + 5*d**4 to q*d**3 + f*d + h*d**4 + n*d**2 + j and give h.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2872, -2623, -2372, -2119, -1864?\nAnswer: -1607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/3)\/((q\/(q**8*q))\/q))\/(q*(q**(1\/3)\/q)\/q)**(-3\/14) assuming q is positive.\nAnswer: q**(179\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 + 24. Let z = -2 + y. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -416605 (base 8) in base 15?\nAnswer: -2b11e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = -333 + 341 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 PM and 4:35 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-21)\/(-224))\/((-18)\/(-8)). Let v(h) be the third derivative of -2*h**2 + 0*h + 5\/3*h**3 + 0 - z*h**4. Calculate v(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 PM and 1:00 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-26))\/((-2007534)\/81302).\nAnswer: -2\/107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2670*a + 1051. What are the prime factors of t(-16)?\nAnswer: 7, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 1)*(2 - 2 - 2*a) + 0 + 2 - a - 1.\nAnswer: -3*a + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 59982 divided by 29991?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45836433.\nAnswer: 3, 5092937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 - 2)*(6 - 54 + 17 - 36)*(20 - 36 + 15 + 298*i) in the form m + w*i and give m.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 60*v**2 + 6*v. Let p(z) = 61*z**2 + 5*z. Let n(l) = 5*c(l) - 6*p(l). Let q(x) = -30*x**2. Calculate q(n(g)).\nAnswer: -130680*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 782993130.\nAnswer: 2, 3, 5, 59, 277, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/((-441)\/18))\/((-340)\/(-18445)).\nAnswer: 31\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 2*a + 12. Let y = a - -22. Suppose -4*i + 68 = -2*r, -y*i - 4*r - r + 82 = 0. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21623?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnnnnnnn. What is prob of picking 3 n?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24206873, -24206874, -24206875, -24206876?\nAnswer: -24206877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tooouototottout. Give prob of picking 1 t, 2 o, and 1 u.\nAnswer: 12\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*n**2 - 2 + 34*n**2 - 73*n**2 - 1.\nAnswer: -8*n**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -131533*q**3 + 2*q**2 - 2*q**2 + 124205*q**3.\nAnswer: -7328*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2536, 4130, 5724?\n\"Answer: 1594*u + 942","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**2\/7 + 3702*c\/7 - 270504\/7.\nAnswer: -3*(c - 1156)*(c - 78)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + -10 - -6) + (1 + -2 - -24).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169 = -12945*u + 12958*u for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/12, 0.01, 0.013, -2011 in increasing order.\nAnswer: -2011, 0.01, 0.013, 1\/12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 224*a**2. Let i(y) = 2903*y**2 - 1. Determine i(l(u)).\nAnswer: 145660928*u**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 154773 from -814874872.\nAnswer: -815029645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 + 40*z - 9. Determine t(40).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/(-18)*(-2)\/(-6)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*x + 0)*(1568 - 657 + 1939).\nAnswer: 5700*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 1001*l**2. Let y(v) = 501*v**2. Determine 4*f(n) - 7*y(n).\nAnswer: 497*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*t + 55*t - 62 = 207 - 81 + 214, 4*t = z + 12 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 16 = 3*u - 5*u, -133081*u + 133083*u - d = -31 for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: 3 - (-4 + (2 - 0))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -737 greater than 1473?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 42.45825 kilometers?\nAnswer: 42458.25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -106, -204, -302, -400, -498?\n\"Answer: -98*b - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 733756 to the nearest integer?\nAnswer: 857","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**11*b*b*b**12\/b assuming b is positive.\nAnswer: b**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of -41*i**8\/336 + i**6\/40 - i**5\/60 - i**4\/8 + 25*i**3\/6 + 4*i**2 - 1170*i. Find the second derivative of l(c) wrt c.\nAnswer: -820*c**3 + 18*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*j**5 + 226591*j**3 - 2739*j + 23?\nAnswer: 40*j**3 + 1359546*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 899, 895, 891, 887?\n\"Answer: -4*x + 903","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 j when three letters picked without replacement from joojoooojo.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 + 8*l - 5. Let g be c(7). Suppose g*h + 5 = 3*h, -h - 7 = -2*m. Is (-24)\/m + 492 + -1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 7 - 7. What is the highest common divisor of w and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + (116\/4 - (418 + -284)).\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5387 rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tticqmcxctcqqqcqc. Give prob of picking 1 c and 1 q.\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 3397.76718?\nAnswer: 3400.76718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 967474?\nAnswer: 2, 227, 2131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1.5907 times 1\nAnswer: -1.5907","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.19 + -1.0516. What is a rounded to 2 dps?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54 + -21905\nAnswer: -21851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(250) - sqrt(250)*-2)\/(sqrt(72)*2 - sqrt(2)) - (5*(2 + -5 + sqrt(40)\/(-1*sqrt(8))))**2.\nAnswer: -354 - 1635*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 468*k - 45. Let p be n(1). Let r = 644 - p. Does 13 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99)\/((sqrt(9)*3 - sqrt(9))*-5).\nAnswer: -sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of b**4\/4 + 5*b**3\/3 + 2*b + 2. Let q(f) = f + 5. Let n be q(8). Let i = -18 + n. Calculate u(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of l**4\/12 + 3*l**2. Let m(w) = -5*w**3 - w**2 + 1. Let b be m(-1). Let z(p) = -1 - p - 4 + b. Calculate z(x(r)).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 31877.58 rounded to the nearest ten?\nAnswer: 31880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -74700.076 to the nearest one hundred.\nAnswer: -74700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*b - 2*b - 75 = 44 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n + 3*n - n)*(2*n - 2*n + n) + (0*n - n + 2*n)*(0 + 0 - 2*n) + 0*n**2 - 2*n**2 - n**2.\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**3\/4 + 35*s**2\/4 - 50*s - 500 = 0. Calculate s.\nAnswer: -5, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 29808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 61*u**2 - 2*u - 17. Let b(d) = 62*d**2 - 3*d - 19. Suppose 15 = 25*k - 60. Let z(y) = k*n(y) - 2*b(y). What is the derivative of z(v) wrt v?\nAnswer: 118*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20163 at least as big as 20157?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1060971541.\nAnswer: 7, 167, 907589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147865 is divided by 112.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v**2 + 32*v + 59. Let w be f(-14). Solve 3 = -w*c + q, -q = -3*q + 6 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -72048.18469 rounded to the nearest integer?\nAnswer: -72048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16 rounded to one decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/4)\/(35\/(-20)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 12 = -2*q, 2*o = -o - 5*q - 21. Let c be 4\/(-16) - 17\/(-4). Let k be (-10)\/c + (-3)\/(-6). Does o = k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -537 + 535. Let y be 18\/(-45) + n\/5*-21. Solve -9*c = -y*c + 3 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*t**4 - 4*t**2 + 4*t**2)*(-1 + 3 + 1)*(0 + 1 + 1)*(2*t - 6*t + t).\nAnswer: 216*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 69 = i. Let t be (4 + (-1705)\/22)*4\/(-6). Let j = t - i. What is the lowest common multiple of 16 and j?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -401771280 to the nearest one hundred thousand.\nAnswer: -401800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10441*q - 34480 = -11303*q for q.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do 253 and 507\/2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1767852071675 - 0.37?\nAnswer: -1767852071675.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 131 divided by -15?\nAnswer: -131\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*m**3 + 12*m**2 - 12*m**2 - m + (-m**2 - 1 + 1)*(m + 0*m + 0*m).\nAnswer: -10*m**3 - m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 4:38 AM?\nAnswer: 3:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100007?\nAnswer: 97, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*m*v**3 + 224818*m*v**2 + 4994*v**3 wrt v.\nAnswer: -84*m + 29964","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -86*o**3 + 2*o**2 + 4*o + 5. Give h(-1).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, 8, -62 in ascending order.\nAnswer: -62, -1, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39*-3.\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 69 and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of -n**6\/10 - 3*n**5\/10 - n**4\/4 + 5*n. Factor q(w).\nAnswer: -3*w**2*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of 27*o - 212\/27*o**3 - 1\/27*o**4 + 0 - 5618\/9*o**2. Factor x(a).\nAnswer: -4*(a + 53)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 105\/(-490) - (-3)\/21?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -431423 or -431391?\nAnswer: -431391","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 148.7 times -13.3187?\nAnswer: -1980.49069","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 157\/102 and -77\/34.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24 + -15. Solve 5*p - 4*w - 12 = 0, 3*p + 3*w + t = -p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 72502 to the nearest integer?\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 4. Suppose l*q - 1 + 7 = t, -t = -5*q - 15. Let o be 1\/2 - (-9)\/2. Solve n - o*n + 16 = t for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-136*h**5 + 6*h**5 + 39*h**5)*(4 - 1 - 2 + (-2 - 3 + 4)*(-1 + 0 - 1 + (0 + 0 + 2)*(-4 + 1 + 2) + 3 - 1 - 1)).\nAnswer: -364*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 57 - 46. Suppose 0 = w*y - 2*y - 396. Is y a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -59 - 0 - (1959 + -1949)?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*w + l = 22*w - 5, -4*w - 2*l + 22 = 0. Calculate the greatest common divisor of 1 and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 3*d. Let t(l) = 1438*l + 1431*l - 2915*l. What is w(t(s))?\nAnswer: -138*s","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)\/(5*sqrt(4)\/sqrt(2)))\/(sqrt(50)\/(sqrt(10) - (sqrt(10) - ((sqrt(360)*-2 - sqrt(360)) + sqrt(10))))).\nAnswer: -17*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 + -13.93. Let d = -0.13 - g. Let b = 0 + 1. What is the third smallest value in d, -5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2901 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/21 - (8 + 888\/(-42)). Solve -7*q - 8 = x for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*p + 3231560 = 3231200 for p.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of k**5\/480 - k**4\/48 + k**3\/16 + 193*k**2\/2 + 133. Let t(u) be the second derivative of q(u). What is r in t(r) = 0?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -150 - -245. Let l = 31 + x. Is l a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 699737 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 149514.\nAnswer: 2, 3, 24919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.5 - 0.3. Let x = 0.0505 - 0.4505. Which is the closest to -1\/2? (a) x (b) o (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 13 + 11. Suppose -x*m = -2*m - 128. Solve 5*c - m = -4*i + 9*c, -2*c + 12 = 5*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -300.53 and 14.54?\nAnswer: -4369.7062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2 (b) -7 (c) -3 (d) -0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -84, -358, -824, -1482?\nAnswer: -2332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 2*i + 2*o, 0 = -2*o + 8. Let n(t) = 19*t**3 + 2*t**2 + t - 2. Calculate the lowest common multiple of i and n(1).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 0 - 4)*(-2*f - 1 + 1) + (-f - 2*f + 0*f)*(-73 - 138 + 262) + (-3*f + 0*f + 5*f)*(2 - 4 - 1) + (1 + 0 + 0)*(-f + 0*f + 0*f) as z*f + n and give z.\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12354211 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 7*d**3 + 2*d**2 - 1. Let r be f(1). Let z be (r\/240)\/(2\/(-9)). Which is smaller: 0 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 10*m - 13. Let y(n) = -27*n + 38. Let z(r) = -8*t(r) - 3*y(r). What is z(7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 + 5*k**2 - 3*k - 5. Suppose -2*b + 4*i = b + 27, -i = -2*b - 13. Let z be y(b). Let v be (-4)\/z + 36\/15. Is v at least 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -339, -871, -1395, -1905, -2395?\nAnswer: -2859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 - 8*o**2 + 4*o - 22. Let i be w(8). Suppose -i*z - 25 = -15*z. Calculate the highest common divisor of z and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - (7 + -24 - -14) - -26?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4705 divided by 5.\nAnswer: 941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**2\/4 - 121*d\/2 - 580 = 0. Calculate d.\nAnswer: -232, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*t + 8. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*a**2 + 7165*a - 3580.\nAnswer: -5*(a - 716)*(2*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1537 - -1551 - (0 + -2 + 1 + 0)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 91*h**2. Let z(l) = -l + 10. Let p(a) = 40. Let i(q) = p(q) - 4*z(q). Calculate i(g(k)).\nAnswer: 364*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 8*q + 4. Let y(i) = i**3 + 3*i**2 - 85*i - 326. Let h be y(-4). Let w(c) = -c + 1. What is h*w(a) + l(a)?\nAnswer: 10*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 6*z**3 + 365*z**2 - 26*z - 31. Let a(h) = -10*h**3 - 548*h**2 + 39*h + 49. Determine -5*a(p) - 8*n(p).\nAnswer: 2*p**3 - 180*p**2 + 13*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (60 + 51 + -131)*(-2 - 84\/(-15)).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5 + 4)*0 - 19. Let m = c + 28. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 258 divided by -89121\nAnswer: -86\/29707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1095 + -778. What is the hundreds digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2132528.\nAnswer: 2, 133283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lrllctcrdl. Give prob of sequence rr.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 52221846 minus -93.9632?\nAnswer: 52221939.9632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mchkshcq. What is prob of picking 1 s and 1 k?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10320 is divided by 2030.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40256 + -15011.\nAnswer: -55267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - d - 2*d + 28 = 0, 5*d = 4*h - 12. Suppose -3*y + 3*z = z - h, -2*z + 2 = 2*y. Solve 4 = -5*f + 2*x, 0 = -y*x - 3 - 3 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 1. Let x = 149\/6 - 77\/3. Sort -5, j, x in decreasing order.\nAnswer: j, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 33*u + 28*u - 2492887. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(0 - (1 + 1)). Suppose 5 = g + k. Suppose -3*p - 3*y = -g*p - 12, 3*y = 15. Solve -5*b = -5, -4*j = p*b - 2 + 19 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -23224*o + 2833348. What is n(122)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 7 = -4*n - 5, -2*n + 3 = -g. Suppose 0 - 1 = 3*l - 5*a, 7 = -l + 5*a. Solve l + n = -z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 + 1. Let i be m(-1). Let j(d) = d**2 - i*d**2 - 1 - 4 - 6*d. Let l = 1728 + -1734. Determine j(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12002 - -22012122012?\nAnswer: 22012211021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 7*b = -s - 1403, -4*s - 572 = -2*b. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/13, -2\/5, 0.5 in decreasing order.\nAnswer: 0.5, 3\/13, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -490 + 511. Put -14, 3, k in decreasing order.\nAnswer: k, 3, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 1 = 0, 0*m - m + 11 = 4*v. Solve -2*p - v*p + 7 = -4*t, p = 2*t + 5 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21123 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 234.60002712 - 234.6. Round x to six decimal places.\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t - 2 - t + 0 + 5*t**2. Let q be i(1). Let w(v) = v - 2. Let u be w(4). Solve 3*p = -u*j - 6 - 4, -q*j = -3*p - 16 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - 22221010111002020?\nAnswer: -22221010111002011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 6 = 2*p, 0 = -8255*u + 8259*u - 3*p - 9 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -44*a + 17. Determine d(2).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3553 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/1104 - 3080\/17710.\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 38046764 from -5437.\nAnswer: -38052201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 32*n**2 + 8*n + 17. Suppose 541*x - 493*x + 288 = 0. Let b(t) = -11*t**2 - 3*t - 6. What is x*p(k) - 17*b(k)?\nAnswer: -5*k**2 + 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 1890 + 840 + 2*p**2 + 950 - 707 in the form m*p + c*p**2 + k and give k.\nAnswer: 2973","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27537, -55089, -82637, -110181, -137721, -165257, -192789?\nAnswer: -220317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 13) in base 12?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (16836 + 10047 + 4956 + 1490 + 21505 + 20279)*(3*l - 4*l + 0*l) as g + o*l and give o.\nAnswer: -75113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -283352 (b) 0.1 (c) -2 (d) 2 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9570 + -9564. Let u(t) be the third derivative of 0 - 1\/12*t**5 + 0*t - 1\/6*t**4 - 1\/120*t**j + 5\/6*t**3 - 22*t**2. Give u(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5230 is divided by 48.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.5 - 1.4. What is the nearest to s in 1, -1, -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41a (base 14) in base 12?\nAnswer: -574","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -419 + 427. Calculate the highest common divisor of 56 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118 is divided by 26?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 2 + 72*t - t**4 - 74*t - 6*t**2 + 2 in the form x + s*t + l*t**4 + c*t**2 + b*t**3 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5868*i + 197565 = -27032 - 180295 for i.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 1 + 0 - (-120)\/20.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 - 10*s**2 - 8*s + 16. Let g be x(-9). Let y(n) = -5*n + 1. Let z be y(-4). Calculate the greatest common divisor of z and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hqqhhqqqqhqqqq. Give prob of sequence qqq.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 32841, 65694, 98549, 131406, 164265?\n\"Answer: w**2 + 32850*w - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4576 - 4573. What is the smallest value in 0.4, 4, f, -3\/2, 321?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 45 = -40. Let j be (4 + 1\/(4\/12))*25. Let b = j + -74. What is the remainder when b is divided by m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14840.601 hours in days?\nAnswer: 618.358375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/3 (b) 11 (c) -4 (d) 1 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/7)\/v)**49\/(v**(1\/4))**(-11)*(v**1)**(-29)*(v*v**4*v*v*v)\/(v*v**(-1\/3)) assuming v is positive.\nAnswer: v**(-647\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 5*m + z, 8 = 3*m + 2*m - 2*z. Let q be 8 - ((m - 0) + -1). Calculate the highest common factor of 36 and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1958 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -345 - -341.73. Let q = 3.1 + m. Let l = q - 0.23. Is l equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 + 69*x - 400. Does 3 divide c(-76)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -332 + 17*s**3 + 1933 - 1601.\nAnswer: 17*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -16*30\/(-40)*(-4 - -2). Which is smaller: 1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 15) to base 9\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/7, -3, -1\/4, -5373780, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 33 + 33*u**3 - 21*u**3 - 2*u - 12 + 0*u in the form c*u**3 + o + q*u + r*u**2 and give o.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -252 + 461. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*s + 50 + 324*s - 50.\nAnswer: 350*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1848 + 2674. Suppose o = m + 5*l, -l - 563 - 1835 = -3*m. Is 49 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*-1 - (26\/10 + -5).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 895386 - -20?\nAnswer: 8953a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a millennium in years?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 260189600 rounded to the nearest one million?\nAnswer: 260000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 13*m**4 + m**2. Let c(g) = -168*g**4 - 14*g**2. Let h(y) = -6*c(y) - 77*j(y). What is the third derivative of h(q) wrt q?\nAnswer: 168*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-4) - (-46)\/8. Let p(b) = -s*b + 2*b**2 - 3 - 3*b**2 + 2. Is 2 a factor of p(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16125 + 56775 = 10*b. Does 34 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2\/5)*r)**(-6)*(r**(1\/4))**(2\/37))\/(r**(1\/9)*r**(-1\/3))**(-2\/117) assuming r is positive.\nAnswer: r**(-1398811\/389610)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1796898 divided by -898449.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 569.2773ml to litres.\nAnswer: 0.5692773","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -53 + 98. What is the highest common factor of 30 and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 14. Let w(h) = -h - 2*h + f*h. Let r(o) be the first derivative of 2*o**3\/3 - 2. Determine w(r(y)).\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -33*g**2*o*p - 21943*g**2*o + 3*g**2*p - 110*g*o + 19*o*p + 115*p wrt g.\nAnswer: -66*o*p - 43886*o + 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 38397360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (((sqrt(112) + -2 - sqrt(112))*-6 - sqrt(112)) + 5 + 4)**2.\nAnswer: -168*sqrt(7) + 552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*f = 62 - 11 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + -59016?\nAnswer: -59017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 199299450?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44706?\nAnswer: 2, 3, 7451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 231 is divided by 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 AM and 5:02 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/((-8)\/(-36) + (-437)\/414) - -11?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -3*h**2 + 2*h + 2. Let u(y) = -16*y**2 + 10*y + 10. Let i = -4 - -15. Calculate i*a(b) - 2*u(b).\nAnswer: -b**2 + 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 6*t - 1. Suppose 3*v = 1 - 7. Let h be 2 - (1\/v - -2). Which is the second biggest value? (a) h (b) t (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 231 + -157. Let z(o) = 80*o**2 + o. Let n be z(-1). Let s = n - b. Solve -3 = -2*q + s*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/44 and -37\/242?\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-1*sqrt(245) + sqrt(245))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*(m*m**(-10)*m*m)\/m)\/(m*m**(-1))*((m*m*((m\/m**(-1\/3))\/m)\/m)\/m)\/((m**9*m)\/m) assuming m is positive.\nAnswer: m**(-47\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -276 + 96 = -3*x. What are the prime factors of x?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19362 divided by -6454\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-96)\/112 - (-16)\/28*-2. Put -22, -32, 3, x in descending order.\nAnswer: 3, x, -22, -32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32\/2*16\/(((-32)\/40)\/(26\/130))?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 13. Let z(l) = 2*l**2 + 14*l - 10. Let w be z(-8). Solve -n + 30 = r*h, -w*n - 5*h + 50 = -n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 + 29*a - 3. What is h(-31)?\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.9 - -1.672. Let s = i - -0.157. Round s to two dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 + -13185060580?\nAnswer: -13185060579.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-625*w + 2025*w + 1164*w)*(1 - 1 + 2 - 2 + 2 - 2 + 1 - 1 - 1 + (4 - 1 - 2)*(0 - 3 + 4) + 6 - 2 - 3).\nAnswer: 2564*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 388 is divided by 78.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 1066*o**2 + 77*o + 1325. Let g(r) = 711*r**2 + 55*r + 883. Let l(s) = -7*g(s) + 5*m(s). Differentiate l(z) wrt z.\nAnswer: 706*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -1411\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000112 to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6810, 27243, 61298, 108975, 170274, 245195?\nAnswer: 333738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 48032 to the power of 1\/2, to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10\/9 or -300.3262?\nAnswer: -300.3262","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*a + 4, -2*l + 10 = 2*a - 4*a for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -4*i - 89. Let w be b(-24). Let u(h) = -h. Let s(v) = -2*v. What is w*u(p) - 6*s(p)?\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2678006497 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 812604?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 + 21. Let t be (9\/(-48))\/(b\/(-6)). Put t, 0.5, 1 in descending order.\nAnswer: 1, 0.5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -0.7. Let j = -3.7 + z. Let d = -2 - j. Which is the nearest to 0? (a) -0.2 (b) d (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3925689?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -6*x - 84. Let l be (2 - 27\/36) + 45\/x. Let u(c) = 2*c + 18. What is u(l)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -7 - -7 - (-17 - -20).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-13))\/((-11849)\/(-154037)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by 135.\nAnswer: -7\/135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -137*d**2\/8 - 28310087*d\/8 + 206643\/2.\nAnswer: -(d + 206643)*(137*d - 4)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 237*a - 129. Let o(d) = 48*d - 26. What is 24*o(l) - 5*z(l)?\nAnswer: -33*l + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 2. Let r be (0 - s) + 5\/7. Let g be 1\/(-2) + 33\/(-22). Which is the second smallest value? (a) -1\/7 (b) g (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 2 - 1 = 0. Suppose -2*t = 5*y - 0 - 6, -2*y = -n*t - 10. Let h(u) = -6*u - 137. Let z be h(-25). Solve -3*k = z + y for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2312957 is divided by 436?\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -m**3*z**3 - 3*m**3*z**2 - m**2*z**5 - 152*z**3 + 26141*z**2 wrt z.\nAnswer: -6*m**3 - 60*m**2*z**2 - 912","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2077040 and 57120.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, t: 6, l: 1, m: 3, c: 2}. Give prob of sequence mlc.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/10 + (-552)\/30. Let i = -4 - p. Let v be (2*2)\/((-2)\/(-14)). Calculate the greatest common divisor of i and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*a**3 - 1418\/7 - 2834\/7*a - 202*a**2.\nAnswer: 2*(a - 709)*(a + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4551 + 446*w + 4571 - 593*w)*(-1 + 1 - 2) to the form p + o*w and give o.\nAnswer: 294","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/27 - 714\/756?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 - 7. Let q = 2 - 10. List the prime factors of p\/(-6)*108\/q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38820*s + 136 - 136 - 6619*s.\nAnswer: -45439*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2. Let i(t) = -52*t**2. Give i(o(h)).\nAnswer: -52*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of 17*p**4\/12 + 175*p**3\/2 - 31*p**2 - 1327*p. Solve x(m) = 0 for m.\nAnswer: -31, 2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1112 divided by 556.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.91 - 0.09. Let v = 0 - 0.8. Let g = v + 0.5. Which is the closest to -0.1? (a) g (b) n (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1539436 and 338836?\nAnswer: 2668","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (0 + 6 + -4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 11\/2 (b) 134 (c) -1\/36 (d) -1\/6 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (789*i - 6553 + 6553)*(3 + 2 - 4) + (3*i - 5*i + 0*i)*(0 - 2 + 4) - 2*i - i + 2*i.\nAnswer: 784*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.7 - 1. Which is the second smallest value? (a) 0 (b) i (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -40 < 41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of l**5\/30 + 7*l**4\/24 - 229*l**3\/6 - 27*l**2 - 13. What is the derivative of x(t) wrt t?\nAnswer: 4*t + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12924, 25811, 38658, 51465?\nAnswer: 64232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 437, 447, 463, 485, 513, 547?\n\"Answer: 3*y**2 + y + 433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 162 + -160. Suppose 3*d - 14137 = q, 4*d + k*q - 5289 = 13547. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 31*j = -289, -r - 3*j + 4 = r - 4 + 25 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6981*z**3 - 2*z**2 - 10418*z - 3.\nAnswer: -41886","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 - 4. Let d be m(-3). Suppose -d*k + 25 = -0*k. Solve 3*c = -k - 1 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*22864791.\nAnswer: -4572958.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(243)*-2*-4)\/((sqrt(972)*2)\/(sqrt(48)*4)).\nAnswer: 128*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 0*d**2 - 5*d**2 + 3*d**2 + d**2 = 0. Calculate d.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cuch when four letters picked without replacement from uuuchuhhhchuuuuuhu?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a micrometer in nanometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2055367 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1026*m**2 - 6*m**3 - 4*m**3 + 2053*m**2 - 1027*m**2 + 14*m**3.\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -4010 divided by -100\nAnswer: 401\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 506229170?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t + 5. Let x be d(-6). Let h(i) = i**3 - 13*i**2 - 6*i - 13. Let r be h(14). Calculate the highest common factor of r and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(4*(-5 + (sqrt(396)*2 + sqrt(396))**2*5) + -5 + -1).\nAnswer: -356270","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16356.\nAnswer: 2, 3, 29, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 = 4*n + 89*t - 88*t, -n = t - 13 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106 is divided by 57.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -11*r**4 - 7*r**2 + 2*r + 34. Let p(z) = -33*z**4 - 24*z**2 + 6*z + 102. Let l(b) = -2*p(b) + 7*q(b). What is the second derivative of l(t) wrt t?\nAnswer: -132*t**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -3*m - 636429, -2*m = 3*r - 125859 - 510600. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -58*n + 58*n - 3*g, 3*g - 40 = -5*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -5*w**3 + 235*w**2\/4 + 815*w + 200 = 0.\nAnswer: -8, -1\/4, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 6*(-5 + sqrt(11)).\nAnswer: -25 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 times 2?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.282533 millilitres to litres.\nAnswer: 0.006282533","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -35.30961 to 1 dp.\nAnswer: -35.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17093 + 17093 - 189*s.\nAnswer: -189*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 31 + -10. Let w = 25 - a. Suppose -x - 4*f + 0 = -w, x = 5*f + 22. Is x a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -19 (c) 0.3 (d) -172.4 (e) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3662 - -3661.83438. Round j to 3 dps.\nAnswer: -0.166","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3\/4 (b) -0.11 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(5 - (-1284)\/(-258)). Let u = 108 + y. Solve h = -b - 2 - 0, 3*h - 5*b + u = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 159 and 150.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 46915\/8, 0.1, 1\/6, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1936340?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 546262 to the power of 1\/2, to the nearest integer?\nAnswer: 739","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21 - -61. Let l be z\/12*(-3)\/(-2). What is the second derivative of -3*d + 2*d - d**5 + 0*d**l wrt d?\nAnswer: -20*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -326 - 3?\nAnswer: -329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 186737 * 21.\nAnswer: 3921477","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6655*t**3 + 17*t - 192?\nAnswer: 39930*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -5*b + 9 + 9, -w = b - 6. Let c be 0\/w + 0 + (3 - 0). Solve 4 = -7*h + c*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2134, -17819, -60540, -143863, -281354, -486579, -773104, -1154495?\nAnswer: -1644318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 777 + -751. Suppose v*x = 45*x - 17290. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -637*d**2 - 10*d + 97. Let r(f) = f - 9. Let t(s) = -6*r(s) - x(s). What is the second derivative of t(l) wrt l?\nAnswer: 1274","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2181\/7, 5, -45, 2\/103?\nAnswer: 2\/103","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirteen fifths of a century?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 AM and 3:06 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**4\/7 + 10*m**3\/7 + 2*m**2\/7 - 10*m\/7.\nAnswer: -2*m*(m - 5)*(m - 1)*(m + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 PM and 2:34 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 + 6*b**2 - 45*b - 262. What is u(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 922780997?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -399.4 to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34748\/(-1938) - ((-36)\/(-24))\/((-2)\/24)?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 9*s + 5. Let u be b(-2). Let l = 19 + u. Suppose 1228 = l*i - 2*i. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*t + 18*t - 6*t + (2 - 2 - 2*t)*(1 + 2 - 5)*(-6 - 7 + 5).\nAnswer: -28*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (2945\/(-62)*236\/2950)\/(2\/(-70))\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 10853, 21648, 32433, 43202, 53949, 64668?\n\"Answer: -z**3 + z**2 + 10799*z + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from shsipilxsiilsspi. Give prob of picking 1 s and 1 x.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 222932477 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of -3*b**2 + 13\/24*b**4 - 9*b + 9\/2*b**3 + 0. What is the derivative of a(f) wrt f?\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 77 - 69.25. Let y = z + -7.55. What is the closest to y in 2\/21, 3\/7, -0.2, -6?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16.8 + -14.46. Let t = -2.7 + j. Is -1 less than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -30*u - 7 - u**2 + 25*u + 1 + 0*u**2. Suppose g + 65 = 6*g. Let s = 8 - g. What is i(s)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 4*g - g + 37 = 0, -4*u + g = -63. Let q(d) = d**3 - 4*d**2 - 3*d - 1. Let a be q(5). Let m = u - a. Does 2 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 379\nAnswer: -3\/379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3114 and 14013.\nAnswer: 28026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12.93 - -13. Let j = -0.13 - v. Let u = -0.5 - -1. Which is the closest to 0? (a) j (b) u (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -4*l. Let j(q) = q**2 - 17*q - 1. Let u(r) = -9*i(r) + 2*j(r). Let p be u(-2). Let h = 0 + p. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 94 + -94.00000238. What is m rounded to 7 dps?\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(325))**2 - sqrt(325)) + -2 - (sqrt(104)*-2*-3)\/sqrt(8).\nAnswer: -21*sqrt(13) + 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*m**3 + 24*m**3 - 13*m**3.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 699 = -0*h + 3*b, -3*h + b = 508. Let r = h - -1025\/6. What is the second smallest value in -3\/8, r, 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 4 - 4)*(0*h**4 + 2*h**4 + 0*h**4 + (158*h - 92*h + 204*h)*(-3*h**3 - 2*h**3 + h**3)) to the form q*h + c*h**4 + l*h**3 + k + j*h**2 and give c.\nAnswer: 3234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -12, 9, 64, 165, 324, 553, 864?\nAnswer: 1269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -71*b**2*f**3*h - 16177*b**2*f*h + b**2 + 11*b + 32*f**3 + 130*f**2 + 1 wrt h?\nAnswer: -71*b**2*f**3 - 16177*b**2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - 79)*(-18)\/12. Let q = -81937\/10 - -8206. What is the common denominator of q and 61*(5\/v)\/(3\/4)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*n**3*t + 7221*n**3*u**2 - 3*n**2*t + 12*n**2*u**2 + n*t*u**2 - 632*n wrt n?\nAnswer: 12*t + 43326*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*i + 40 = -8*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 85 = -4*x + 2*x, 0 = 3*t - 3*x - 210. Suppose -3*m - t = 2*m. What is the tens digit of (-6)\/m + 252\/20?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dbddqdosdoddqo. What is prob of sequence qqb?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 4*s - 2485 = 0, m + 4*s - 176 = 663. What is the hundreds digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4\/7 (b) 26 (c) 0.1 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 3*k - 80. Let f(v) = 3*v - 79. Let c(w) = 4*b(w) - 3*f(w). Let g be c(28). What is the closest to -1 in g, -3\/5, -12?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 AM and 7:01 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2791, 2792, 2793, 2794?\nAnswer: 2795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -6*q + 125. Calculate the remainder when (5\/q)\/((-3)\/(-516)) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8507418 to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + (-10)\/375*-4. Let o = 28\/75 - m. What is the common denominator of -97\/30 and o?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 41.5 - 41.647. Let v = u - 12.853. Which is the nearest to v? (a) 1\/3 (b) 2\/19 (c) -1\/5 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19620 divided by 6.\nAnswer: -3270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s**3 + 6*s**2 + 5*s + 8. Let o(w) = -3*w**3 + 12*w**2 + 9*w + 15. Let z(c) = 5*i(c) - 3*o(c). What is z(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 849*j - 531*j - 2745 = 1071 for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25 + 65. Let r = 230 - 218. Let n(h) = -h**2 + 19*h - 54. Let k be n(r). What is the greatest common factor of y and k?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 1:33 PM?\nAnswer: 6:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-6\/11)\/f)**(-21) assuming f is positive.\nAnswer: f**(357\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 194590925 to the nearest integer?\nAnswer: 579","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 + 21*z - 2. Give v(4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 676376748?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 24, 78*d - 76*d + 24 = -4*q. Solve -198 = d*t - 226 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from fll?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 1213 = 5338. Suppose k = 3*v - 132. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, l: 2, z: 1, g: 1, f: 2, x: 1}. What is prob of sequence mxz?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 159\/(-18) + (-1)\/6. Let c = -5 - b. Suppose 0 = -c*k - k. Solve v - 4*g = -5, 0 = v - k*v + g for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.35 times -18490466\nAnswer: -6471663.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/6)\/((-2)\/(-12)). What is the first derivative of -3 + 0*n**2 - 3*n**2 + 0*n**w wrt n?\nAnswer: -6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5 + -8 + (-5655)\/(-130). Suppose 4*q - 20 = -0*q. Find g, given that 3\/2 + 15*g**2 - 81\/2*g**4 + b*g**q + 21\/2*g - 27*g**3 = 0.\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -472, -1344, -2798, -4834, -7452, -10652?\nAnswer: -14434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 z when two letters picked without replacement from eezzzzhzhzkzkez?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8693.58 days in milliseconds?\nAnswer: 751125312000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 37915, 151555, 340955, 606115?\n\"Answer: 37880*m**2 + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10388 and 168706314.\nAnswer: 5194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + 12 + 67)*(-5*l + 6*l - 28*l).\nAnswer: -2430*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*(-1)\/4*-10. Let i be 4*(15\/(-2))\/n. What is the highest common factor of 15 and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 4686.297 centuries?\nAnswer: 468629.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 155*w**2 - 4 + 2 - 153*w**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 65*w - 1447. What is i(23)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 970 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 228 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 7*q + 1. Let z(s) = -6*s. Let a(r) = -5*o(r) - 6*z(r). Let i be ((-2)\/(-3))\/(8\/72). What is the smallest common multiple of a(i) and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4 (b) 861 (c) -3\/4 (d) -1\/5 (e) 2\/19\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 4*b + 17 = 4*s, 4*s - 26 = -3*b. Suppose -s*n - 5*y = -520, -2*n - 4*y - 109 = -3*n. What are the prime factors of n?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 e when four letters picked without replacement from {e: 7, s: 7}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1122, -1126, -1130, -1134?\n\"Answer: -4*f - 1118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9 - 71d?\nAnswer: -714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 - 18*l**2 + 172*l + 13. Give s(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -5 - 2) + 2 + (2 - 11).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 44 - 4 = 0. Suppose -2*z - z = p - 5, -3*z + 3*p - 15 = 0. Suppose z = c - 14 - y. Calculate the lowest common multiple of 6 and c.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 574423 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0, 6, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 2. Let n = -389 - 150. Let t = n - -484. Does x = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.62 in -0.2, 5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -8\/9 (b) -0.01 (c) -2 (d) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -698, -2755, -6176, -10955, -17086, -24563, -33380?\nAnswer: -43531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 8*x**5 - 142*x**4\/3 + 6*x**3 + 548*x**2\/3 - 152*x + 80\/3 = 0?\nAnswer: -2, 1\/4, 2\/3, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -3.92. Let u = -2.12 + y. Let s = u + 2.19991. What is s rounded to five dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/100*48\/36\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3343?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 1043?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 3:53 PM?\nAnswer: 3:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3 (b) 0.1 (c) 0.0402 (d) -0.5 (e) 17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dbdhl. What is prob of sequence dlb?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 14 = -5*p + 3*s, 3*p + 15 = 3*s. Let v(k) = -k**3 - 14*k**2 + 16*k + 6. Let g be v(-15). Which is bigger: g or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 106*y**3 - 3*y**2 + 202*y + 1 wrt y?\nAnswer: 636*y - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 165116278 is divided by 210?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -39 + 22. Let w = y + 18. What is the nearest to 0 in -2\/3, 0.4, w?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {b: 3, l: 4, w: 9}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 34313 by 34313.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 4*w + 2. Let s be p(-3). Let t = s + 18. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of c**2*d**2*y + 27*c**2*d**2 - 4*c**2*d*y + 2*c**2*d - c**2*y**2 - 2*c*y**2 - 81*d**2*y**4 wrt y.\nAnswer: -2*c**2 - 4*c - 972*d**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/9)\/(j\/j**(-6)))\/((j\/j**(2\/33))\/j*j**(-2\/17)) assuming j is positive.\nAnswer: j**(-11107\/1683)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(2) - -2*1*sqrt(2))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = v - 219822, -j + 5*v + 30741 + 13213 = 0. List the prime factors of j.\nAnswer: 2, 29, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46459949 to the power of 1\/3, to the nearest integer?\nAnswer: 359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -565, -4, -2 in increasing order.\nAnswer: -565, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 5*m = -18, 27*m - 32*m + 20 = 0. Sort 4, -1, u, -47, -2 in decreasing order.\nAnswer: 4, u, -1, -2, -47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.5, 0.07 in increasing order.\nAnswer: -5, 0.07, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -9\/33812602?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.9581 + 3.058307. Let p = 19.4 - 21.5. Let a = p + k. Round a to 5 decimal places.\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/30*-3*(-3)\/2\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(572)\/sqrt(11)*5.\nAnswer: 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-71)\/(-5) - 2\/10. Let b = q - -33. Let p = b - -200. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -y**5\/2 - y**4 + 15*y**3\/2 - 2*y**2 - 10*y = 0.\nAnswer: -5, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1160\/1508)\/(15\/3276))\/((-52)\/(-2)).\nAnswer: 84\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 5 = 4*y. Let m(k) be the first derivative of -k**3\/6 + k**2\/2 + k + 1. Let t(z) be the first derivative of m(z). Determine t(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4503 = 43*i - 261299. Is 28 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12412, 24863, 37324, 49801, 62300?\nAnswer: 74827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 84 = -3*s + 42, s + 2 = 0. Let h be (-72)\/g + (-12)\/(-22). Solve 6 + h = 3*n, -n - 13 = 3*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/6? (a) -1 (b) -2 (c) -2.37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - f56c?\nAnswer: -f56e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**2 - 2*o**2 + 2*o**2)*(-12 + 2 + 3).\nAnswer: 14*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 441*m + 29. Let g(k) = -219*k - 13. What is -9*g(w) - 4*v(w)?\nAnswer: 207*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 577, 608, 653, 706, 761, 812, 853?\n\"Answer: -n**3 + 13*n**2 - n + 566","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 3) to base 15\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*l - 2, 0 = -4*a - l + 33. Suppose -2*o = -4*o + q - a, -3*o = 2*q + 12. Let r(p) = -12*p - 4. What is the tens digit of r(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**3 - 3*m - 4. Determine d(-2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(17) + 0)*4 + sqrt(17) + sqrt(68)\/sqrt(4)*3 + (sqrt(34) - (sqrt(102)*1)\/sqrt(3))\/((sqrt(24)\/sqrt(2))\/sqrt(6)) + 5)**2 + -4.\nAnswer: 80*sqrt(17) + 1109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 9673?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y - 4. Let z be w(2). Let r(o) = -o**3 - 2*o**2 - 2*o - 2. Calculate the remainder when r(z) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b + 6*b - 4*b)*(-2*b + 0*b + 0*b) + (5*b + 0*b - 3*b)*(-36186694*b + 36186737*b - 4 + 44).\nAnswer: 82*b**2 + 80*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppphpppphp. Give prob of picking 2 h.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 38714, 79848, 120982, 162116?\n\"Answer: 41134*r - 2420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 + r - 4. Let h be p(4). Let s(y) = -10*y**2 + 5*y - 4. Let u be s(2). Let o = h - u. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*z**3 - 13*z**2 + 178 wrt z?\nAnswer: -6*z**2 - 26*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6 - -3) + 3 - -2. Solve 4*y + 12 = -d, -3*y = d + v*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 88 and 88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*o + 10 = 5*x - 33*o, 0 = -4*x - 5*o - 28 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 7) in base 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*h + 2*k - 5, 5*k = 0. Solve 11*w - 16 = h*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**4 + z**3 + z. Let o(i) = 28*i**4 - 22*i**3 - 22*i - 4. Let l(m) = -44*b(m) - 2*o(m). Differentiate l(x) wrt x.\nAnswer: -48*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*v**2*w - 5*v**2 - 2*v*w + 604*w with respect to v.\nAnswer: 16*v*w - 10*v - 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = -3*t - 54. Is 2\/233 bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 38\/((-102)\/406 - 2\/(-7)). Let n = b + 468. Let z = n - -103. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 142, 5, -34, -5.\nAnswer: -34, -5, -2, 5, 142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -0.7 (c) -2\/13 (d) 0.11 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - v - 161 = -170, 0 = -4*o - 3*v + 17 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.4118668 rounded to 1 decimal place?\nAnswer: -4.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/2*504\/(-147))\/((-40)\/240)?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 112.4866 nanograms?\nAnswer: 0.0000000001124866","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 256 is divided by 65?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 337514 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: Put -2\/9, 0.5, -0.07 in descending order.\nAnswer: 0.5, -0.07, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -11*t - 5. Let n be l(-7). Let k(f) = 0 - 35*f - 4 - n*f + 26*f. Is k(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 95 and 8018.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 26330 and 2185390?\nAnswer: 2185390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 302 - 302 + 154*o - 3*o + 3*o - 2*o + (1 + 2 - 2)*(-4*o + 0*o + 5*o) - 1 + 1 + 3*o.\nAnswer: 156*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31743 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 6*l**3 - 1)*(1 - 1 - 2)*(-l + 2*l + 0*l).\nAnswer: 12*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28) + 2*sqrt(28) + 1*sqrt(7)*5 - ((sqrt(343)*1 - sqrt(343))*-1 - (sqrt(343) - (sqrt(343) + 2 + 5)))**2.\nAnswer: -49 + 11*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2124?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61816 divided by 314.\nAnswer: 30908\/157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15685 - 15679. Solve -m = 2*w + 1, 3*w + 6 + q = 2*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.3 + -0.3. Let v = -3011.1 + 3012. Which is the third biggest value? (a) z (b) v (c) -1 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -170\/29 < -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2495454 and 5629377.\nAnswer: 4173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/(-2))\/(378\/(-1080)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 58610*q*x**3 + 206079*x**3 wrt q?\nAnswer: 58610*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 0, -3*r = -4*r - 5*m + 31. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 2588460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1272133 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4381?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2e (base 16) in base 8?\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 23. Let f = 8 + -4. Solve f = 5*b - g for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 73\/237 + 2\/79. Let g = 220\/3 - 74. Let r(x) = -x**3 - 3*x**2 - x + 1. Let i be r(-2). Which is the nearest to i? (a) g (b) -3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 662*(-3)\/(-3) + 1 + 0. What is the first derivative of -719*g**4 + 77 - 7 - 1 + q*g**4 wrt g?\nAnswer: -224*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/(-3))\/((-10)\/(-15)). Suppose g + r*v + 2 - 5 = 0, 0 = -2*g + 2*v + 36. Let l = g + -8. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c09 - 564dd?\nAnswer: -558d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 143852?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-21 - -3) + (255 - 250) + -29?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 5) to base 9\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 5*p + p. Let i be (4*4\/(-20))\/(p\/10). Solve -4 = -3*s + i for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nwz when three letters picked without replacement from {b: 1, f: 3, h: 2, w: 5, n: 8, z: 1}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(128) - (sqrt(128) + 4 + -2 + sqrt(128) + sqrt(128))) + 1*((1 + sqrt(200) - sqrt(200)) + sqrt(200)))**2.\nAnswer: 12*sqrt(2) + 73","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -10*n**2 + 13*n. Let g(c) be the third derivative of c**5\/12 - c**4\/4 + 184*c**2. Calculate 9*g(h) + 4*u(h).\nAnswer: 5*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -9*(-7)\/(-126) + ((-99)\/(-26))\/11\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, c: 2, n: 2, g: 3, y: 1}. What is prob of picking 2 i and 2 g?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -2*a + 28601, -71537 = -5*a + 1185*b - 1184*b. Does 7 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 2*m = -536, -u + m = -3*m - 118. Let o = 106 - u. Suppose o = -h + 1 + 20. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1669001147 to the power of 1\/2, to the nearest integer?\nAnswer: 40853","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 8\/1*330\/(-440)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8 + -254755?\nAnswer: -254764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -92*s**4 + 18*s**2 + 92*s**4 - 4*s**2 + s**6 wrt s.\nAnswer: 120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 7*m + 235 = 0. Calculate the remainder when m is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36420861.\nAnswer: 3, 12140287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-8)*(x**(-2\/9)\/x)\/x)\/(x\/x**(-3\/7)*x**(-1)))**(-2\/111) assuming x is positive.\nAnswer: x**(1342\/6993)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -19.5 in -16.9, 3, -0.3?\nAnswer: -16.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -99068.3916 and -4.\nAnswer: -99072.3916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zmmzmmmmm. What is prob of picking 2 z?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + 1 - 4\/2. Suppose 0*d - 5*d + 420 = a. Suppose 5*h = -3*g + d, 2*g = 2*h + 78 - 22. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*m - 17*m - 792. Suppose m = 3*h + 111. Sort 1, h, 8, -5.\nAnswer: -5, h, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of t**6\/360 - t**5\/20 - t**4\/8 - t**2. Let c(b) be the second derivative of o(b). What is the tens digit of c(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d + 2. Let s(b) = -129*b - 11. Calculate -5*n(g) + s(g).\nAnswer: -134*g - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -434*j - 208. What is the tens digit of h(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of 0*x**3 - 20*x + 0 + 1\/4*x**5 + 17\/2*x**2 + 0*x**4. Differentiate q(d) wrt d.\nAnswer: 15*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + (28 - (75 + -51))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -315*t - 727. What is n(-3)?\nAnswer: 218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(1\/6)\/p)\/(p**3\/p*p))**13 assuming p is positive.\nAnswer: p**(-299\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 13793402*x - 8176305 wrt x?\nAnswer: 13793402","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1417*g**3 - 2*g**2 + 2000 with respect to g.\nAnswer: -4251*g**2 - 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17337*x = 17471*x - 1876 for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -34717*u + 312679. Calculate n(9).\nAnswer: 226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 246552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**2 + 2*l**2 - l**3 + (0*l**3 - 52*l**3 - 29*l**3)*(0 - 1 + 0) + (-l - 2*l + 2*l)*(14*l**2 - 8 + 8).\nAnswer: 66*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 87 + -83. Suppose 9*x - 107 = 46. Suppose -3*u - 5*q - 1 = -x, -q = -5*u + 8. Solve -m*j = 5*i - 13, -3*i + i + 4 = u*j for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*(-7)\/56*-2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 - 2*j - 1. Let i(y) = -3*y - 1. Suppose -3*a + 5*a = 8. Suppose 3*x = 5*n + 2*x + 14, 0 = 5*n + a*x - 6. Give n*i(z) + 3*h(z).\nAnswer: -3*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.315 greater than or equal to 0.712?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31797520 is divided by 628.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 406793268 to the nearest integer?\nAnswer: 741","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18393 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.014170868 to three dps.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3754?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 40 + (-10 - (-7 - (8 + -4)) - 2)\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 - -0.251488.\nAnswer: 5.251488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18.144 + -0.216. Let t = 25.384 + c. Let k = t + -7. What is k rounded to two decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 41*j - 2754. Let w be f(67). Let g(h) = -2*h**2 - 7*h + 20. What is g(w)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 11, -4, -2, 6, 3.\nAnswer: -4, -2, 3, 4, 6, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ub when two letters picked without replacement from ullnbulnnbl.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -0.3, -6560, -1, 2.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - 3) + 18 + -11 + (23 - -2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/715 and 25\/44.\nAnswer: 2860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 370994 to the power of 1\/3, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 k when two letters picked without replacement from {a: 2, j: 4, k: 5, q: 2}.\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 + -7. Let r(v) = 2*v - 1. Let u(c) = -c + 1. Let h(q) = -2*r(q) - 5*u(q). What is h(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 145, 452, 963, 1678, 2597, 3720?\n\"Answer: 102*i**2 + i + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3584, -5550, -8828, -13418, -19320?\nAnswer: -26534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -47e7cf (base 16) to base 2.\nAnswer: -10001111110011111001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010100001100 (base 2) in base 7?\nAnswer: 21465","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20203 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 609 and 7483392.\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 - 22*g + 10. Let x be h(24). Let u(t) = -59 - x + 104 - t**2 + 12*t. What is u(9)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7771244495?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pdo when three letters picked without replacement from {d: 3, p: 2, o: 6, n: 1}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -92354.\nAnswer: -277062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 - -20. Let w = -4.24 + -1.06. Let r = w - -0.3. What is the second smallest value in 1, r, i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -7, -11, 3 in descending order.\nAnswer: 4, 3, -7, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, d: 3, z: 3, a: 1, m: 3, g: 2}. Give prob of sequence zdid.\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -50.427 + -562.661. Let l = -541 - z. Let d = l + -72. Round d to two dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 93 and 2976?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 4:27 AM?\nAnswer: 5:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 6*o**2. Let m(x) be the third derivative of 0 - x**2 + 0*x + 0*x**3 - 1\/12*x**4. Determine v(m(n)).\nAnswer: 24*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -102 divided by 1.\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + ((25 - 11) + -9 - (-4 - 3))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -473*g - 200. What is the units digit of s(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - 496?\nAnswer: -493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 373 + -530. Let j = r - -224. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3, 0, 93?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -13*d + 5*d**2 + 1 + 19*d + 0*d**2 + 4*d**2. Let l(y) be the second derivative of 5*y**4\/12 + y**3\/2 + y**2\/2 - 9*y - 6. Determine 5*l(j) - 3*t(j).\nAnswer: -2*j**2 - 3*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 + 4*j**2 + 4*j + 4. Suppose -2 = 3*h - 20. Suppose h = -4*a - 6. Is n(a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of s**7\/2520 + s**6\/1080 - s**5\/360 - s**4\/72 + 2*s**3 + 6. Let z(y) be the third derivative of a(y). Factor z(g).\nAnswer: (g - 1)*(g + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 6:41 AM?\nAnswer: 10:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1 + 2)\/(1\/17).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.04, -2\/9, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 4. Let n = j + 0. Is (-90)\/(-4) + n\/(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*b - 10*b + 3*b + 3*b**3.\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 - 39*m**2 + 98*m - 888. Let g be x(37). Let p(w) be the third derivative of -13*w**2 + 1\/48*w**4 + 1\/240*w**5 + 0*w + 0*w**3 + g. Factor p(s).\nAnswer: s*(s + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, 5, -53, -27, 38 in decreasing order.\nAnswer: 38, 20, 5, -27, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 885493 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 84939966 and 74232.\nAnswer: 339759864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 55548284 and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 AM and 3:51 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12446552 is divided by 172?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -2\/9*z**2 + 0 - 164\/9*z = 0. Calculate z.\nAnswer: -82, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j*(j*j\/(j**(-10)\/j)*j)\/j*j*j**(-5))**(1\/35) assuming j is positive.\nAnswer: j**(12\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 41 + 3. Suppose -5*t - 3*j = 19 + 10, -5*j = -2*t + 7. Is (t\/(-11))\/(-2) + 21436\/x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2\/7 - 6295886*b\/7 + 12591764\/7.\nAnswer: 2*(b - 3147941)*(b - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r - 1. Let a(i) = 4*i + 3. Let p(y) = -a(y) + 6*h(y). Let m be p(6). Suppose -5*z + 11 = 1. Solve -m*l + 4 = -4*x, 4*l - 1 = -x - z for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3585 - 3600. Is -253\/16 >= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21119?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + -16. What are the prime factors of 10*(-3 + (-34)\/o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -264 divided by 2068?\nAnswer: -6\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 23 + 9\/3 + -5. Let k be h\/9 - 2\/6. Suppose 3*j - 4*v + 6*v - 18 = 0, 22 = k*j - 2*v. Does 4 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n - 85. Let k be u(-44). Suppose k*s - 4 - 8 = 0, 5*y - 445 = -5*s. Is 4 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4 and 13806070493299.\nAnswer: 13806070493295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 319*l + 14*l**3 - 74*l - 245*l.\nAnswer: 14*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-6)\/k)**(-1\/56)*k**(4\/7)*(k**(-15)\/k)\/k assuming k is positive.\nAnswer: k**(-913\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 52489529363 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 + 9*v - 7. Let y be k(8). Is ((-1)\/(-2))\/(y\/4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -0.28612\nAnswer: 0.028612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 0 - 14*g**2 + 13*g**2 - 4 - 5*g. Let p be q(-4). Which is greater: p or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - p = 2*z + 3, 0 = -p - 3. Let u be (z - (-4)\/(-3))*-6. Suppose f - 51 = -3*t, -26 = -2*t + f + u. What is the remainder when t is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 657\/(-1679)*2\/(-9)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - 3)\/((-4)\/(-38)). Let v(b) = -b**3 - 18*b**2 + 17*b - 36. Let q be v(o). Let c(y) = q*y**2 - 849 + 849. Let m(w) = -2*w. What is m(c(i))?\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*1*6\/(-3). Suppose -89 = -b*g + 3*u, u + 36 = g + 3*u. What are the prime factors of g?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 - 4*g - 3. Let z be c(-3). Suppose z = o + o. Suppose 3*p + p = o. Solve 3*y + 11 + 4 = p for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2303\/4 - -575. Which is greater: -2\/11 or p?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-15))\/(2\/4)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 482 a factor of 231081318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 + (0 - 2 - -615). Suppose -4*p + 828 = -4*w, 0 = -p - 2*p - w + n. Suppose 2*k - p = -2*k. List the prime factors of k.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47879028, 47879023, 47879016, 47879007, 47878996, 47878983?\nAnswer: 47878968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 93, 184, 275, 366?\n\"Answer: 91*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-3\/4))\/(b\/(b\/(b*b**(-3)\/b))*b)*(b\/(b**7*b))\/b*b*b*b**(3\/2))**(17\/7) assuming b is positive.\nAnswer: b**(-153\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ifpd when four letters picked without replacement from {f: 1, e: 3, p: 2, i: 2, d: 6, n: 1}?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3637157 rounded to 3 dps?\nAnswer: -0.364","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1021 or 1018?\nAnswer: 1018","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = -2*d - 10, 2*d + 18 = 4*c + 10 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*q = 4*q + 204. Let v = q - 4. Suppose -15*j = -11*j - 188. Calculate the remainder when j is divided by v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78)\/sqrt(6)*-2 + sqrt(13) - (sqrt(13) + (sqrt(13) - (sqrt(468) + -5)))) + 5.\nAnswer: 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 PM and 4:25 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*h + 5*h + h**3 + (-5 + 3*h + 5)*(-1 + 1 + 2*h**2) in the form c + b*h + w*h**2 + x*h**3 and give x.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 - 10. What is the remainder when 54 is divided by (-1)\/(w\/(-12)) - -8?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60328665 to the power of 1\/2, to the nearest integer?\nAnswer: 7767","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_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 l be 20097\/35 - (-1)\/(-5). Let b = l + -394. What is the greatest common divisor of b and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from jjmj?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c**3 - c**3 + c**3 + (-2*c + 1 - 1)*(1 - 1 + 2*c**2) - c**3 + 4 - 4)*(-2 - 4 + 4).\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16637.\nAnswer: 127, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1\/25)\/i**(-6))\/(i\/i**0)**(-1\/10))**(-48) assuming i is positive.\nAnswer: i**(-7272\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 + 3*d**2 - 6*d**2. Let h(q) be the second derivative of -q**4\/6 - 35*q. Give h(m(f)).\nAnswer: -32*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 157413.\nAnswer: 3, 137, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 5, n: 2, y: 9}. What is prob of picking 2 x and 1 n?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -58337871*p - 37291579?\nAnswer: -58337871","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of -i**2\/2 + i - 1. Let t(l) be the first derivative of 3*l**2\/2 - l - 2422. Calculate -b(j) - t(j).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-6) + (-8)\/(-3). Suppose -3*g = -p - 10. Let t(v) = v**2 - 1. Let y(j) = 2*j**2 - 3*j - 5. Let d(o) = t(o) - y(o). Determine d(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3 - 3*j**4 - j**2 + j**3 - 3*j**5 + 4*j**2.\nAnswer: -3*j**2*(j - 1)*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 29 = 3*t, 3*t = 6*g + 388 - 373 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -z - 4 + 15, -t = -5*z + 22. Let w(u) be the first derivative of 3\/16*u**4 + 9\/2*u**2 + 6*u + z + 3\/2*u**3. Suppose w(h) = 0. What is h?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -861787*h**3 - 223961*h**3 - 134879*h**3.\nAnswer: -1220627*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.18 or 3\/7?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(-1))\/(3*2\/(-6))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2 (b) 0.56 (c) 0.17 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eur when three letters picked without replacement from errurerurrru?\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*g**2 + 0*g**4 - 5*g**2 - 3*g**4 - 2*g**3 - 2 + 8*g - 2*g**2 to the form u + x*g + r*g**2 + s*g**4 + i*g**3 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j + b + 7 = 2*j + 2*b, 3*b = -3 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/3))**(-21)\/(((h\/h**(-1\/7))\/h)\/(h**(-7)\/h)) assuming h is positive.\nAnswer: h**(-106\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 198 and 528.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 8 = 72. What is the units digit of 75\/(-20)*a\/(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-7*n - 1 + 1)*(1 + 2 + 0) + 2*n - 6*n + 2*n)*(-n + n - 2*n)*(2 + 1 - 1) to j*n**2 + t*n + r and give j.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 - 13*q**2 + q - 27. Let d be u(-14). Calculate the highest common divisor of d and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7dfe (base 16) in base 6?\nAnswer: 405154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p**2 - 6*p - 5. Let g be u(6). Let w = g + -91\/3. Which is smaller: w or 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 206 - 121. List the prime factors of g.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-2))\/((-81)\/108)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40 is divided by 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.4 and 41.965.\nAnswer: 41.565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4312 and 882?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 70\/(-28)*604\/(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 87 + -84. Suppose 0 = h + 4*r - 141, -y*h - 2*r + 498 = -5*r. Calculate the remainder when h is divided by 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21334.3 minus 0.042393201?\nAnswer: -21334.342393201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of k**3\/3 - 11*k**2\/2 - 4*k + 3. Let y be i(12). Solve -j = -2*x + x, x = -j - y for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -15 + 1?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 - 4 + 2)*(5 - 5 + a**2) + (-2*a - a + 5*a)*(5*a - 2*a - 2*a) + (-69*a + 66*a - 33*a)*(3*a - 3*a - 2*a) to f*a + h + o*a**2 and give o.\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -1038.152 to the nearest 10.\nAnswer: -1040","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiixgoigggii. What is prob of sequence iggi?\nAnswer: 21\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/(-10)*110\/(-4). Suppose -m - b + 4 = 0, 0*b - 15 = 3*b. Suppose -3*n = 5*j - 5 - a, -n + j + m = 0. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 157 (base 15) to base 11\nAnswer: 25a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 31391274 - 6?\nAnswer: 31391268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-3 - (0 - (-3 - -8)))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*t - 15*t - 9*t + 8*t in the form d*t + x and give d.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f*((f\/(f**(-40)*f*f))\/f)\/f*f*f*f*(f*f**(1\/4))\/f)\/(f**(-2\/13)*f**(-1\/12)*f) assuming f is positive.\nAnswer: f**(1657\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nngnnnnnunngnnneenn. What is prob of picking 1 n, 1 u, and 2 e?\nAnswer: 7\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/916 and -161\/312.\nAnswer: 71448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12 + 5)*-1*6\/231. Put 2\/7, -0.1, g, 6 in decreasing order.\nAnswer: 6, 2\/7, g, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -600651*b**5 - 149159*b wrt b?\nAnswer: -12013020*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 100 by 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6523\/1220 + 85\/122. What is the common denominator of v and -79\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g. Let w(v) be the third derivative of v**7\/5040 + v**5\/60 - 3*v**2. Let a(b) be the third derivative of w(b). Calculate x(a(n)).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(1\/6))\/(((j\/(j\/(j\/(j\/((j*j\/(j\/(j**(-14\/5)\/j)))\/j*j)))))\/j)\/j*j)*(j*j**(-9\/4)\/j)\/(j*j*j\/(j\/j**(-4\/13))*j*j))**(-1\/45) assuming j is positive.\nAnswer: j**(1021\/35100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 6*w**3 + 104296*w**2 - 52150*w**2 - 52154*w**2 + 2*w to o + t*w**2 + u*w**3 + a*w and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -275*y - 2*u + 1146, 3*y - 16*u = -18*u + 58 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is 173727776.7 rounded to the nearest 10000?\nAnswer: 173730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000013574763 rounded to seven decimal places?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132 = -4*t + 5*d, -2*t + 5*d - 17 = -83. Suppose 9 = -y + t. What is the remainder when 94 is divided by y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0179791 * 0.5.\nAnswer: -0.00898955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -178 - -296. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = 3*j + 2*j. Let z = 22 - j. Suppose -6 = -z*h + h. Solve -b - g - h*g - 12 = 0, -g - 4 = -2*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4471*p + 2*s = 4469*p + 6, 0 = -2*p + 3*s + 26 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 48773 - -65?\nAnswer: 48848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2d328b + 3?\nAnswer: -2d3288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 598977?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 g when two letters picked without replacement from gooogfofvfoovgo?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2 + 2 = 0. Let f = 141 - 140. What is the closest to 0.2 in 0, d, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - 64?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13.79 + 0.21. Let j = y - 8. Let x = j - 6. Which is the closest to 0? (a) 0.3 (b) x (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 49538 and 238?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0 + 0)*(-550 - 610 + 953)*(-2*q**3 - 2*q**3 + 5*q**3) to the form s*q + f*q**2 + c*q**3 + x and give c.\nAnswer: -414","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-81705)\/(-10475)*(10\/(-6))\/(-1)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + -1)\/(10\/(-10)). Let t(i) be the second derivative of 2*i - 3\/20*i**5 + 0*i**2 + 1\/6*i**4 + 0 + v*i**3. Find the third derivative of t(p) wrt p.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 199\/84645?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -41078 divided by 2\nAnswer: -20539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17 + -5 - -3) + 39?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/2)\/(b*b**(-1\/4)))\/(b**(1\/4))**(-20) assuming b is positive.\nAnswer: b**(15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 4*w**3 + w**2 - 3*w + 702. List the prime factors of t(0).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + 22 - (-13)\/(65\/20). What is the common denominator of (-4 - (-102)\/h) + 255\/(-96) and -101\/6?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 668311?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/2494920 and 151\/2744412?\nAnswer: 27444120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of -t**4\/12 + t**3\/3 + t**2 - 11*t - 5. What is d(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*f**2 - 944*f**3 - 834*f**3 - 100*f**3 - 34 + 529*f**3 wrt f.\nAnswer: -8094","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 5 = c, 3*t - 1 - 8 = -3*c. Suppose -3*o + c*x = 36, 2*x = -4*o + 6 - 28. Let d = 324 - 328. Is o equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(98)*-1 + sqrt(98)) - (sqrt(48)\/sqrt(24))\/sqrt(4).\nAnswer: -sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 5*o = 21, 5*o - o = 4*d + 12. Let l = -2 + 3. Solve -d*z = l - 11 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 + (-23)\/1)\/(13\/117). Let k = d + 213. Solve k*u - 17 = -5 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -166241 + 12?\nAnswer: -166227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -14*m - 4. Let l be z(-3). Suppose 0 = -0*d + 3*d. Suppose h + h - l = d. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11001000001110011 (base 2) to base 11.\nAnswer: 70026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10 + 3 + 4)\/(-7). Let o = 360.57 - 358. Let y = -0.43 - o. Which is the fourth smallest value? (a) 0 (b) -2 (c) m (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24304000 rounded to the nearest 100000?\nAnswer: 24300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5651212 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65688 is divided by 21843.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -w**2\/2 - 16353*w\/2 + 57260 = 0.\nAnswer: -16360, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 19211 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 + 29*f**2 + 16*f - 22. Is 5 a factor of q(28)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(2*sqrt(130) - sqrt(130))*-3)\/(sqrt(1000) - (4*sqrt(1000) + sqrt(1000) - sqrt(1000))*-6).\nAnswer: -3*sqrt(13)\/125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89825415?\nAnswer: 3, 5, 5988361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -3*o + 3376. Suppose 3*g = -g - o. Let c = g + 61. Round c to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6865?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -4*a - 1. Let u = 33251\/9 + -3699. Which is bigger: u or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -315 - -189. Let t = d - -72. Let b = 53.999946 + t. Round b to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(220)*-3)\/sqrt(4) - sqrt(55))\/sqrt(11))**2.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2)*(j**(1\/6)\/j*j)\/j*j)\/(j**(-10\/11)\/j*j*j*j*j**(9\/7)*j))**(2\/29) assuming j is positive.\nAnswer: j**(-83\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6684 divided by -12.\nAnswer: 557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 24505351 (base 7) to base 15\nAnswer: 2d7dca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8948 is divided by 562.\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from eshststtttthst.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 1 = -o. Suppose -8 - o = -3*m. Let z(n) = -n**3 + 4*n**2 - n + 3. What is z(m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 727 + 642 = -5*c, 4*c = -8. What is the remainder when v is divided by 77?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 m when three letters picked without replacement from mumuxx?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4737 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: Expand (5 + 0 - 6)*(-3*x**4 + 4*x**4 + x**4).\nAnswer: -2*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(1331) + -5 + -2)**2 + -1.\nAnswer: -154*sqrt(11) + 1379","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4087*p**3 - 5*p**2 - p - 66996.\nAnswer: 24522*p - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y**2 + 2*y - 1. Let l be r(2). Let o(v) = 6*v - 62. Let k be o(l). Suppose -k*x = 10 - 62. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 12:11 PM?\nAnswer: 8:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -815874 times 4\nAnswer: -3263496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + 3*5\/3. Suppose 0 = -o*y + f - 5, -4*f - 1 = 5*y - 21. Determine m, given that -m**3 - 2\/3*m**2 + y + 0*m = 0.\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*w + 3*w + 2178 = 0. Suppose -57 = -z - 3*j, 0*j - 3*j = -2*z + 69. Let a = w - z. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/61517 and -28\/813.\nAnswer: 184551","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, -13, 4, -4, 122 in descending order.\nAnswer: 122, 4, 0, -1, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/4, -0.4, 2.1, -8\/59, 0.07?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -5116.48+-299.711\nAnswer: -5416.191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llllll. Give prob of picking 2 l.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2083 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 134 (base 5) in base 3?\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 701\/17 - (10835 + -10794)?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.036 - -0.252. Let h = x - -0.084. Let w be (-2)\/(-9) + 168\/(-270). Which is the third biggest value? (a) h (b) 0.4 (c) w (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 369980*y**3 + 5 - 825198*y**3.\nAnswer: -1195178*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t**5 + 431*t**4 - 14400*t**3 - 1451820*t**2 - 19401536*t + 3273984 = 0. Calculate t.\nAnswer: -56, -18, 1\/6, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y = -2*y + 208. Let b = y + 137. Suppose 9*k = 4*k + b. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10950 by -2190.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3358 and 4526.\nAnswer: 104098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000910343358 to 4 decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, 3, -179, 0.0653, 5, -3, -1\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f - 9*f + 5*f + 0*f - 11 + 11*f**2 + f**3. Let l(y) = -y**2 + 5*y. What is the lowest common multiple of a(-11) and l(4)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 766, 762, 756, 748, 738, 726, 712?\nAnswer: 696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1340 - 234022124?\nAnswer: -234020234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2a - -973?\nAnswer: 9a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -28*(1\/(-2) + 0). Let f(q) = 6*q**2 - 22*q**2 + t*q**2. Let o(w) = 12*w. Calculate o(f(z)).\nAnswer: -24*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 - 5*j - 3. Let l be x(-4). What is the derivative of 4 - 2*i**2 - 6 - l wrt i?\nAnswer: -4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 - 15*b + 13. Determine f(13).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 87386?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 107, 99, 79, 41, -21, -113, -241, -411?\nAnswer: -629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 219754 is divided by 964?\nAnswer: 926","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1168*c**2 - 4424*c.\nAnswer: -2336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -131874431868 + 13\nAnswer: -131874431855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 - 4*f**2 + 4*f. Let j be i(-5). Let p = 174 - 173.9. Put j, 0, p in increasing order.\nAnswer: 0, p, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 51, 105, 159, 213?\n\"Answer: 54*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/2, -443592.35, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -h - 4*o, 2*h - 4 = -0*o + 4*o. Let x be -12*h*1\/8. Suppose x*p = 3*t - t - 68, -2*t = 4*p - 68. What is the remainder when t is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 272537743 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3495 and 813459.\nAnswer: 947679735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 31 - 556?\nAnswer: -525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence st when two letters picked without replacement from syttsysssssytststys.\nAnswer: 25\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2 - 348390*v + 7316631.\nAnswer: -(v - 21)*(v + 348411)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -6*c - 0. Let l = -703\/260 - 3\/65. Is l at most c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48051247 is divided by 625.\nAnswer: 622","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 3 + (-6 - 2 + 5)*(-5 + 3 + 1) + 4 - 4 + 2)*(-o**5 + 2*o**5 - 3*o**5 - o**5 - 2*o**5 + 4*o**5 + (-2*o**5 + 2*o**4 - 2*o**4)*(-5 + 1 + 3)).\nAnswer: 4*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -g - 1 + 1 + 11*g - 12*g - 18*g + (-g + 3 - 3)*(-2 + 5 + 2) - 3*g - 37 + 37 + (5 - 4 + 0)*(-2*g - 1 + 1) in the form t*g + i and give t.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 163855164 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/2)\/((-12)\/24). Let u be -2*((-9)\/(-6))\/n. Let t(s) = 0*s - 3*s + 0*s + s - 1 - 2*s**2. Calculate t(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 12 = -12*f. Calculate the remainder when 35 is divided by 21\/((f\/7)\/((-4)\/14)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 504 divide 1026870768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 + o**2 + o + 1. Let d(b) = 1975*b**3 - 3246*b**2 + 3*b + 3. Let i(v) = -d(v) + 3*m(v). What is the third derivative of i(k) wrt k?\nAnswer: -11832","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 146 or 148?\nAnswer: 146","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1956, -1982, -2008, -2034?\n\"Answer: -26*z - 1930","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 690*z**4 + 89*z - z**2 - 687*z**4 + 2 + 4*z**3 - 9*z to the form t*z**4 + u + w*z + m*z**2 + f*z**3 and give w.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 minus -12607059?\nAnswer: 12607058.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 - -11. Let n(j) = 2*j + 1. Suppose -2*a - 12 = a. Let o(z) = 2*z + 2. Let b(t) = a*o(t) + 5*n(t). Determine b(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s + 5. Let p be y(-5). Suppose 2*z - 2 = 2. Suppose z*o + p*x = -x + 116, 4*x = 0. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*-1)\/(23577\/(-406) - -58).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 51*m - 4 = -53*m, 3*m + 6*m - 16 = 4*a + m for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5636 + -3447. What is the remainder when q is divided by 122?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/7*s**2 + 0 - 2\/7*s**3 + 0*s = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -0.001\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -26012 - -4612740501?\nAnswer: 4612714489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7.1 + -2.1. Let p = 0.09 - -0.01. What is the closest to p in 2\/13, q, -1.1?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kzz when three letters picked without replacement from {z: 8, k: 3}?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2141351 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (((-24)\/(-3))\/(5 + -3))\/6. Is -3\/2 less than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 - 91*h**2 - 4*h + 4. Let m be r(0). Solve 2*c = -2*j - 3 + 11, 0 = j - c + m for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2551, -6, -0.4?\nAnswer: 2551","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*j - j**2 - 15*j - 4*j**2.\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xmfx when four letters picked without replacement from oxfomxooommfx?\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7\/2 + (-21)\/42. Factor 152*j**4 - 5*j**5 + j**n - 162*j**4 - j**3.\nAnswer: -5*j**4*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12502212979 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 0*w + 3*f - 2*f + 1 = -4*f, -5*w = -8*f - 28 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -378 less than 18?\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10.69999919 + 10.7. Round k to 7 dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 522 is divided by 75.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1002214043240 - 10?\nAnswer: -1002214043300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 36324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/5 and 16\/(-32) + 2\/180.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 39 = k, 5*k + 14 = 2*y + 3*k. Suppose 0 = -2*v + 4*v - y. Let a = -23127 - -23153. What is the remainder when a is divided by v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -563*v + 5785. What is the remainder when 792 is divided by j(10)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 513.5 + -513. Which is the third biggest value? (a) s (b) -3 (c) 0 (d) 1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -675.5 - -0.1?\nAnswer: -675.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -4*o**2 - 29*o - 4. Let q = -28 - -21. Let a be l(q). Factor -2*j**4 + 6*j**5 + 0*j**5 - 3*j**a + 2*j - 5*j**5 + 8*j**2 - 6*j.\nAnswer: j*(j - 2)*(j - 1)**2*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*-1*(0 - 3)*1. Suppose -l - w*f + 20 = 0, 0 = -5*l - 6*f + 3*f + 112. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -1. Let t(j) = 10*j**2 + 29. Let i(k) = -t(k) - 2*x(k). Find the first derivative of i(p) wrt p.\nAnswer: -20*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.52? (a) -2\/13 (b) -2\/9 (c) -7 (d) 2\/37\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/(-2))\/((-19)\/(-38)). Let a = -8 - -11. Are f and a equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/99 and 113\/54?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 2175 divide 174287100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96*c**2 + 73*c**2 + 73*c**2.\nAnswer: 50*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1579?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**3 + 3*o**3 - 3*o**3 + (2 + 3*o - 2)*(3*o + 2*o - 6*o)*(36*o - 102*o + 14*o).\nAnswer: 157*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4806, -19359, -43602, -77529, -121134, -174411, -237354, -309957?\n\"Answer: q**3 - 4851*q**2 - 7*q + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let b be (-10)\/6 - -1 - (-43712)\/(-96). Let j = b + 753. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8700\/(-5))\/116*20\/36.\nAnswer: -25\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 3*b - 2. Let f be ((-2)\/(-5))\/((-1)\/5). Let r be f + 2 + 3 + 1. What are the prime factors of i(r)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vykxyvkyyqvyayaqkk. What is prob of picking 1 k and 1 v?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9141838 to the power of 1\/2, to the nearest integer?\nAnswer: 3024","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*a + 742*a = 32*a - 9360 for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ilmi when four letters picked without replacement from lmizmiimzlzzz.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -75 + 79. Let c be b + 1 - 1 - (32 - 30). Let z(n) = -3*n**2 - 1 - 2*n**c + 0*n**2. Calculate z(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 271 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of -3 + 2*z - z**4 + 10\/3*z**3 - 4*z**2. Solve h(q) = 0.\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 PM and 3:10 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 4*x = -2313, x = -3*m + 2757 - 9696. Let k = 25420\/11 + m. Calculate the common denominator of k and -37.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -497 divided by -2\nAnswer: 497\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/2208 and (-3 + 2)*6 + 15*(-8426)\/(-17820).\nAnswer: 19872","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 573 + 647 = -92*i - 620 for i.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*v, t + v - 9 = 3*t. Let r = -6.28 + 6.3. Let k = r - 0.05. Which is the third biggest value? (a) k (b) t (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -209388615*b**2*c**3*k**2 + b**2*c**2*k**2 - 2*b**2*c**2*k + b**2*k - b*c*k**2 - 2909*c**2*k**2 - 14*c - 1 wrt c.\nAnswer: -1256331690*b**2*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2581303, 2581290, 2581259, 2581204, 2581119?\nAnswer: 2580998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 169 and 10.\nAnswer: 1690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that z**2\/2 + 247045*z\/2 + 864633 = 0.\nAnswer: -247038, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003545192465 rounded to five decimal places?\nAnswer: -0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41908, 42088, 42534, 43378, 44752, 46788, 49618?\nAnswer: 53374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -329503 + -4?\nAnswer: -329507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 42.7 + -42.5. Which is the nearest to 3? (a) -3 (b) m (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**2 + 6*q**2 - 4*q**2)*(0*q + 4*q - 2*q) + (-2*q**2 + 10*q**2 - q**2)*(-2*q + 0*q + 6*q).\nAnswer: 30*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -u + 2*a, u - 1 = -0*u - 3*a. Let l be u*(-22)\/4*2 + 3. Let m(x) = x**2 + 9*x + 20. Does 2 divide m(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 + 6. What is the second smallest value in -3\/2, 1\/4, i?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1256 - -1256.0222. Round u to 3 dps.\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135 - 540 = -23*k + 107 for k.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1287, -1421, -1631, -1917, -2279, -2717?\nAnswer: -3231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 - (6 + -34) - 12?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {m: 4, o: 2, f: 2}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -592 + 586. Let j(g) = -g**2 - 6*g. What is j(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 0)*(0 + 0 + 7*f)*(0*f - 4*f + 3*f).\nAnswer: 14*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 24 + -252?\nAnswer: -225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -2*n**2\/7 + 11459262*n\/7 + 3274076 = 0.\nAnswer: -2, 5729633","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11485 or -87846?\nAnswer: -11485","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 18 * -698297\nAnswer: -12569346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h - 1. Let u be o(3). Let b be -3 + u\/(4\/(-1 + -3)). What is the highest common divisor of 68 and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.165 - 4.785. Let j = s - -4.8454. Let q = 0.1 + j. Round q to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*z - 11 + 27*z - 6*z - 10*z as u + s*z and give u.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11279 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 + 13*n - 36. Let s be o(8). Let t be -1*s\/3*-3 - -1. Let y = -34.73 - -35. Sort y, 1, t in decreasing order.\nAnswer: t, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*r**2\/3 + 124*r\/9 + 112\/9.\nAnswer: 4*(r + 4)*(6*r + 7)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 11.8 (b) -1\/2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 53208042*t**2*w**2 + 71950905*w**2 wrt t.\nAnswer: 106416084*t*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -227*l + 228*l + 101 = 0. Let i = l - -119. What is the remainder when 42 is divided by i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/((u**1*u*u)\/u)*u)\/u*u**3)**(-13\/4)\/(u\/(u**3*u*u)*u**(2\/5)*u*(u*(u**4\/u)\/u)\/(u\/(u\/(u**(-2\/7)*u)))) assuming u is positive.\nAnswer: u**(-1321\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -2*x**2. Let b(o) = -167838982*o. Give b(r(h)).\nAnswer: 335677964*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 59948143?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -122112042 (base 7) in base 4?\nAnswer: -131033312211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -239 = -5*m + 31. What is the remainder when m is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 372101484?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 + 19*v - 20. Let u = -110 + 90. Let w be m(u). Solve -r - 3 = w, -6*z + 3*z + 24 = -3*r for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 4*c**2 + 4*c**2 - 4*c**2 - 5*c**2 - 6 + 3*c**3 + 7*c - 2*c**3. Calculate the remainder when 43 is divided by o(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/19, -10.2, -2\/9?\nAnswer: -10.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -157 (b) 4 (c) -1\/7 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1300 and 619580?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -240*a = -241*a - 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (256\/40)\/4*(-50)\/(-840)\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -0.3, 3, -1, -12?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 64266525 to the power of 1\/3, to the nearest integer?\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((224\/(-161))\/(-8))\/(-2).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - m + 2 = -8, -20 = -2*l + 2*m. Suppose -5*w - 5 = l*j, 3 = -5*w + w - 3*j. Put w, -2, 4 in increasing order.\nAnswer: -2, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 4 (c) -1\/11 (d) 0.1 (e) -150 (f) -67\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3\/2*v**2 - 3\/8*v**4 + 0*v - 3\/2*v**3 + 0 = 0 for v.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 83050717?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*f**2 + 2*f**2 - 52 + 49 + f to the form w*f + d*f**2 + i and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2033 and 105648911.\nAnswer: 2033","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 - 2*a. Let w be t(-2). Suppose w = -0*k + k + 2*u - 15, 5*u - 45 = -4*k. Suppose 7*l - 4*p = 5*l + 34, k*l = -p + 52. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 356 - 3?\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 978 - -1580. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*v**5 + 455*v**2 - 145*v**2 + 7 - 267*v**2 + 336*v wrt v.\nAnswer: 100*v**3 + 86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**4 - 43404*k**3 - 912126*k**2 - 5213320*k - 4344600 = 0.\nAnswer: -10, -1, 21723","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6605 - 16151?\nAnswer: -23756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from otbsq. Give prob of sequence oq.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(-4) - 2\/(-17). Let f = 1982\/21025 - 12\/841. Which is the closest to -2? (a) f (b) i (c) 4 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - -10010110011101?\nAnswer: 10010110011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -7*b**3 - 7*b**2 - 11*b - 5. Let w(t) = t**3 + t + 1. Suppose 0 = -5*v + 9*v + 4. Let a(j) = v*s(j) - 6*w(j). Determine a(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29353050 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/13344 and -19\/22176.\nAnswer: 3082464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/12 and -113\/56.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:00 PM and 6:54 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 5*z**3 - 3*z**2 - 4*z - 3. Let s be p(-3). Let n = 237 + s. Is 28 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 7, c: 2, h: 4}. Give prob of picking 1 c, 1 h, and 1 n.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/38301759?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 2. Let n(w) = 4*w**3 + 641*w - 646*w + 3 + 3*w**2 - 4 + 6. What is the units digit of n(s)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 4*-6*(sqrt(980)*2 + sqrt(20)) + -2.\nAnswer: -720*sqrt(5) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -127 + 391\/3. Let -z*t**3 + 4\/3 + 10\/3*t - 4\/3*t**2 = 0. What is t?\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*i = -i - 128. Let n(v) = i*v + 5*v - 32*v + 5*v. Let o(z) = z**2 - 2*z**2 - z**2. What is n(o(y))?\nAnswer: 28*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 79271*i - 475594. Give t(6).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -837 + 861. Calculate the remainder when 44 is divided by q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 + 7*n**2 + 6*n + 4. Let p be f(-6). Let z = -4 + p. Solve z = -3*o + 5*g + 3, 2*g - 3*g = -5*o - 17 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3837 and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 PM and 9:01 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + -6. Let t = 4.88 + 0.12. Let l = 1.1 + -1.3. Sort b, t, l in descending order.\nAnswer: t, l, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*a + 7 - 43 = 0. Solve 3*f + 5*h = -10, a*f + 10 + 2 = -3*h for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 5:00 PM?\nAnswer: 3:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80) - sqrt(80)*2*-3 - sqrt(80))\/(sqrt(720) + 1*sqrt(720)))\/((sqrt(8) - sqrt(64)\/(sqrt(24)\/sqrt(3))) + (-3*sqrt(32))\/sqrt(4)).\nAnswer: -sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 352646 divided by 2?\nAnswer: 176323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 237580.\nAnswer: 2, 5, 7, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 - -5. Let s = -367 - -369. Let c be ((-138)\/(-27) - s)*24\/(-14). Is c bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12.6 - -4.1. Let j = y + 14. Let w = -0.5 + j. Put 3, w, -2\/5 in ascending order.\nAnswer: -2\/5, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1370911, 1370911, 1370913, 1370917, 1370923, 1370931, 1370941?\nAnswer: 1370953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*i = 115 - 460 - 105 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -24*l - 200. Let u be y(21). What is u rounded to the nearest ten?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1264)\/4108*1\/(-4)*-26.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 7:00 AM?\nAnswer: 3:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = m + 12, 0 = 6*m - 2*m + 2*t + 24 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - -21532505?\nAnswer: 21532505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2974 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 b = 134 - 91. Is b a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -228 in -0.4, -0.11, -0.138, 0.1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**5 - 3*j**5 + j**5 + 3*j**2 - 2*j**5 - 3*j**2 + (3*j**4 + 2*j**4 - 3*j**4)*(-j + 3*j + 0*j) + 3*j**5 + 2*j**5 - 6*j**5 - 3*j**5 + 3*j**5 - 4*j**5.\nAnswer: -4*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36145.\nAnswer: 5, 7229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v**3 + 7*v**2 - 114*v - 351. Give g(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1275163 - 529692. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + (-2*sqrt(288))**2)*-6 + -2*sqrt(4)\/sqrt(2) + -3.\nAnswer: -6915 - 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 250*k - 1. Let b be x(1). Find the common denominator of 6\/11 and 4\/12 - b\/99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2268 divided by 6.\nAnswer: -378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 7*i - 48. Suppose i*k - k - 50 = 0. Find n, given that -75*n**k - 99*n**2 + 12*n**5 - 216*n**3 + 255*n**4 - 69*n**2 + 144*n + 48 = 0.\nAnswer: -2\/3, -2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 174235 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 + 70\/(-15))\/((-276)\/207)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 0 - 6)*(v + 6*v + 5*v)*(0 + 2 - 1)*(2 - 2 - 1) - 5*v + 4*v + 2*v to the form d*v + n and give d.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -704 - -708. Let l(v) = v**2 - v + 1. Determine l(a).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -15*w**5\/2 + 65*w**4\/2 + 1175*w**3\/2 - 525*w**2\/2 - 1580*w - 770 = 0.\nAnswer: -7, -1, -2\/3, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 2:34 AM?\nAnswer: 9:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 5, 7683.\nAnswer: -1, 3, 5, 7683","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 305.10901 rounded to the nearest ten?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -316, 1, -3, -5, -1, -9 in decreasing order.\nAnswer: 1, -1, -3, -5, -9, -316","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-1\/13)\/k**(4\/11) assuming k is positive.\nAnswer: k**(-63\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 104403162 divided by 6\nAnswer: 17400527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from huhuhh. What is prob of picking 1 h and 1 u?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23618562.\nAnswer: 2, 3, 11, 23, 15559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*i**2*k**3 - 109*i**2*k**2 - i*k**3 + 157*i*k wrt i?\nAnswer: 8*k**3 - 218*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 73495 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -862.621622 rounded to the nearest 10?\nAnswer: -860","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.203413 millennia to centuries.\nAnswer: 92.03413","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 174151 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1451448 divided by -171\nAnswer: -8488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(1\/2)*p)**(6\/17))**(4\/27) assuming p is positive.\nAnswer: p**(4\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 58452516, 58452517, 58452518, 58452519, 58452520, 58452521?\n\"Answer: r + 58452515","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -199\/4 - -50. Let r be 81\/(-15) + 16640\/3200. What is the closest to g in r, -3, 3\/2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a tonne in kilograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 - 33 = -8*x. Put 10, x, 5 in decreasing order.\nAnswer: 10, 5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/7, 72, 0.1, -13\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 5*y + 0*y = -2883, -4*y + 1448 = m. What are the prime factors of m?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + 6. Suppose -y*q = -q - 170. Suppose -15*o - 86 = -q*o. Calculate the remainder when o is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 + 2 - 1) + 2 + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 47213056?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -5460*w. Let t(i) = -5*i. Give t(k(d)).\nAnswer: 27300*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1254 - 1206. Let j be l\/(-25) + 3\/5. Let a be (-212)\/(-18) - (-22)\/j. Solve -a = 2*v - 2*x, v - 12 + 3 = -4*x for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (368*m**3 + 41*m**3 + 25*m**3)*(-5*m**2 - 20*m**2 + 48*m - 48*m).\nAnswer: -10850*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3280220 is divided by 251?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d**3 - 11*d**2 + 6*d + 27. Let f be j(4). Let r(s) = s**2 - 5*s + 14. Calculate r(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-43206)\/4548*2\/2.\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 73462?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22433068?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - i = 16, -171*k + 5*i = -176*k - 50 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 6 + 3 - w**2 - 5 - 9 - 5*w. Let n(h) = h + 13. Suppose -61 = 2*d - 5*j, 13 = 3*j - 2. Let g be n(d). Give p(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100.6091 days to hours.\nAnswer: 2414.6184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 3*k**2 - 28*k - 17. Let y be p(10). Suppose 11*b = 19 + y. Let a(x) = -6*x**3 + x**2 - 2*x + 2. Give a(b).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-5)\/(-4))\/((-7)\/2582908). Let k = 462018 + c. Let i = 782 - k. Find the common denominator of -43\/6 and i.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10323113 - -10?\nAnswer: 10323123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 + 2 + -5)*(2 + -1). Let i = x - -10. Solve 2*p = 6*p - k - 6, 0 = -p + i*k + 11 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of d**7\/28 + 7*d**5\/60 + 3*d**3 + 19*d. Let l(c) be the second derivative of f(c). Find the second derivative of l(h) wrt h.\nAnswer: 180*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 428592 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 103 (base 5) to base 6\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2 - ((-3 - -7) + -4) - 0\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/193 + -393\/1351. Let c = -86.77 + -1.23. Let p = c - -87.47. Which is greater: p or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -1, 4, 0.5, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8080320 a multiple of 170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = 9*l - 123, 3*l - 39 = 5*o + 106 for o.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1089)\/(-88209) + (-128)\/(-2754)?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*s**2 - 2*s + 12*s**2 - 27*s**2 + 16*s**3 + 9*s**2 in the form b + u*s + z*s**2 + o*s**3 and give o.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b. Let h(v) = 4*v - 674251. Determine x(h(k)).\nAnswer: -4*k + 674251","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5 - -4) + 1)\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 5*u = 20, -27*u + 26*u = 4*p - 22. Solve 2*n = -p + 16 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*o**4 - 114795*o + 5007158 wrt o.\nAnswer: 40*o**3 - 114795","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 273.3 + 0\nAnswer: 273.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16631, -33175, -49717, -66257, -82795?\nAnswer: -99331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1283 + 1f?\nAnswer: -1264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -156, -671, -1522, -2703, -4208, -6031?\n\"Answer: d**3 - 174*d**2 + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 144.295 - 0.295. Let u = l + -113. Let i = u - 31.36. What is i rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 12430626?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 5*x. Suppose 3*y**2 - 3 + x*y + 0*y = 0. Calculate y.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k - 4*k + 3*k)*(-5 + k + 5 + (-1 + 2*k + 1)*(1 - 2 + 0)).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/(15\/(-24)) - 1. Let g = 6 + j. Is (-2)\/g + (-55)\/(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3984 and 971100?\nAnswer: 996","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 30*n + 9. Let a(z) = 15*z - 4. Let v(j) = 15*j - 2. Let q(y) = 3*a(y) - 4*v(y). Give -4*p(r) - 9*q(r).\nAnswer: 15*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 91? (a) -5 (b) 3\/7 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 667 = -166*n, 2*q + 854*n + 22 = 849*n for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8691 - 8792.29. Let w = r - 1.71. Is w at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 (base 14) to base 3\nAnswer: -1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -192 = -3*f - 177 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1341 (base 5) to base 2\nAnswer: -11011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-210)\/30 - -15 - (0 + 8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 6:16 PM?\nAnswer: 1:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 989 - 988.99042. Round i to 3 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*m - 2*y - 2, 0 = 2*m + 4*y - 4. Is -11*(m + 7)*-1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 3*x**2. Let v be 5\/(-20) - (-30)\/(-8). Let d(c) = c + 4. Let n be d(v). Let i(f) = -f - f + n*f. Determine i(s(r)).\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6805233\/88 or -77332?\nAnswer: -77332","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c - 6. Let i(m) = 0 - 2 + 1. Suppose 36 = -5*p - 44. Let o = p - -22. What is o*i(v) - y(v)?\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -17\/103 (b) -1\/4 (c) -0.1 (d) -133\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of t**7\/210 - t**6\/45 - 2*t**5\/15 + 4*t**4\/3 - 46*t**3\/3 + 19. Let r(g) be the third derivative of s(g). Factor r(m).\nAnswer: 4*(m - 2)**2*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1532*h + 451 + 937*h - 449 to m*h + f and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -5. Let o(x) = -4. Let y(z) = 3*d(z) - 4*o(z). Let a(g) = 7*g**3 + 2*g**2 + 2*g - 2. Let n(c) = a(c) - y(c). What is the tens digit of n(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7068887?\nAnswer: 7, 37, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4470 - 3989. What is the remainder when v is divided by 61?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54 and 1866.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (204*h**2 - 1 + 2*h - 204*h**2 - 3*h**3)*(-2*h + 0*h + 4*h).\nAnswer: -6*h**4 + 4*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 4*s**2 + 74*s - 148. What is a(2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1\/8 + 1\/8. Which is smaller: -1 or s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.9? (a) 2\/7 (b) 6 (c) -3.5237 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.035? (a) -4 (b) 66 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -292, -1155, -2580, -4555, -7068, -10107?\n\"Answer: 2*w**3 - 293*w**2 + 2*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -112133011 (base 4) in base 5?\nAnswer: -10421401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 59.24111km?\nAnswer: 59241110000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of -k**5\/20 + k**2\/2 - 1792*k. Let q(x) = -2*x**3. Give 3*q(g) - 2*r(g).\nAnswer: -4*g**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19 + 28. Let b = z - 7. Solve -b + 1 = o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of -1\/8*d**4 + 0*d**3 + 0*d + 0 + 2*d**2. Let k(s) be the third derivative of -s**5\/60 - s**2. Give w(k(q)).\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2405 divided by -17490.\nAnswer: -481\/3498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 405*w = 51*w + 2478. Calculate the remainder when 474 is divided by w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1769454?\nAnswer: 2, 3, 197, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3973)\/(-348) + (6 - 1 - (-341)\/(-44)).\nAnswer: 26\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 126 + -121. Suppose -3*h - 5 = -4*k, 2*k - h - p = -k. Solve 8 = k*g + 3*m - 2*m, m = -2 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17653 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 14 = -2*k, 3*y + 4*k = k + 3. Let w = y - -2. Suppose w*m = -2*m + 76. Is 10 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tteteeetttststte. Give prob of sequence seet.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3b8c (base 13) to base 10.\nAnswer: 8566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 3. Suppose -2*f - 2*z + 10 = -f, -3*f = -h*z + 10. Solve 2*d + f*d = -10 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 176380 to the nearest one hundred.\nAnswer: 176400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 + 23*p**2 + 2*p + 4. Let j(m) = -2*m**3 + 18*m**2 + 2*m + 3. What is -3*c(n) + 4*j(n)?\nAnswer: -5*n**3 + 3*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -3*y**3 - 2. Let a(t) = -2*t**3 - 2. Let f(w) = -4*a(w) + 5*m(w). Let o(s) = 13*s**3 + 4. Let q = 14 + -25. Calculate q*f(c) - 6*o(c).\nAnswer: -c**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/4 + 21\/4. Is -6*f\/10 - -6 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/643? (a) -35.8 (b) -0.5 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d - 2*d - d)*(7*d - 8*d + 0*d) + (d + 2*d - 4*d)*(-d + 4*d - 2*d) - 49*d**2 + 39*d**2 - 107*d**2.\nAnswer: -117*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 + 32*a**2 - 61*a + 55. Let h be v(30). Let u(k) be the second derivative of k**3\/2 - 41*k**2\/2 - 2*k. What is the units digit of u(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 1538*r + 1031. Let q be k(-16). Are q and -23577 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20069 times 5\nAnswer: 100345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, 9, -2, -4, 0 in descending order.\nAnswer: 26, 9, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/54*3420\/1824*(-2)\/25?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 3*(sqrt(2) + 0 + sqrt(2))**2.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i - 12*i = -72. Let b(q) = -2*q**3 - 4*q**2 - 4*q - 5. Let y(l) = -2*l**3 - 5*l**2 - 5*l - 6. Give i*y(d) - 5*b(d).\nAnswer: 2*d**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 50, 1, 3 in decreasing order.\nAnswer: 50, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 - 7*k**2 + 9*k - 3. Let f be i(4). Let y = 13 + f. List the prime factors of 56\/y*(-15)\/4.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-21 + 0 - 27)*(-2*u + 4*u - 4*u + (-2*u + 1 - 1)*(-2 - 1 + 2) + u - 2*u + 3*u + 2*u - 1 + 1) + 0*u - 3*u - 7*u to the form p*u + i and give p.\nAnswer: -202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-4 - (-5 + (2 - -1))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 50 - 47. Let f be 0\/(-3)*(-1)\/(-2). What is n in 2\/5*n**4 + f*n**2 + 0*n + 0 + 2\/5*n**u = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126302672.\nAnswer: 2, 79, 99923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.505 and -33.6278.\nAnswer: -50.609839","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25, 48, 71, 94, 117, 140?\nAnswer: 163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.13 + -1277.87. Let s = n - -1279.8898. What is s rounded to 3 decimal places?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 16, v + 0*v - 3 = -4*h. Do 2\/5 and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (24 - 34) + 7 + -1 - (4 + -17)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1546331667.\nAnswer: 3, 515443889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -130320100 (base 4) in base 2?\nAnswer: -11100111000010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 485 - -43. What are the prime factors of v?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + (-7 - 2) - 7?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-22)*c*c**(-4))\/(c*c*c**(-2\/15)*c*c*c**(1\/9)) assuming c is positive.\nAnswer: c**(-1304\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -16702 - -338?\nAnswer: -16364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.031647346 to five decimal places.\nAnswer: 0.03165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 less than -22?\nAnswer: -661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-12)\/n**(-2\/7))\/(n**17*n\/((n*n*n*n\/(n**(11\/5)\/n))\/n)) assuming n is positive.\nAnswer: n**(-977\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12\/5 + 24\/(-60). Suppose -1540 = -t*u + 1514. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -115*l + 3542 - 1776 - 1782 wrt l.\nAnswer: -115","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 583 and 848.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7.8 + -2. Let b = c - 6. Round b to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ucqucqucqje. Give prob of picking 1 j, 1 c, and 1 e.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -36*d + 2*d + 51*d + 6*d. Let y(s) = 32*s. What is h(y(c))?\nAnswer: 736*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 559 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -66 from -15435592832460.\nAnswer: -15435592832394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*o + 62*o + 202 + 257 = 0 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5347 - 5345. Solve 4*s + 2 = -3*p, -7*p + q*s = -5*p - 8 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*k**2 - 6*k**3 + k**4 + k**3 - 7*k**2 - k + 1 to p*k**4 + a*k + f + m*k**3 + q*k**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 4*n + 1. Suppose -2*l + 3*l - n = 0. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 539 and 26750717.\nAnswer: 294257887","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -2*v**5\/7 + 2*v**4\/7 + 6*v**3\/7 - 10*v**2\/7 + 4*v\/7 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -711927.\nAnswer: 5\/711927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13880, 21017, 28154, 35291?\nAnswer: 42428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 + -1. Suppose -5*y = -l - r, -3*y + 4*l = l - 15. Solve -y*d = -d + 5 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -318*q**2. Let i(o) = 7789*o**2. Determine i(b(p)).\nAnswer: 787654836*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, o: 3, f: 3}. What is prob of picking 1 f and 2 o?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 55*12\/(-300)*-3*(-15)\/18\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrttjtr. Give prob of sequence rrt.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.73381mm to centimeters.\nAnswer: 0.673381","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 103 in 4, 2, -0.5, -1, 3\/146?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/2 (b) -3 (c) -8 (d) -0.5 (e) 6\/2611\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/9884 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 3 - 3 = 3*z - 6, z - 47 = -14*h + 119 for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 176568?\nAnswer: 2, 3, 7, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 5035*k - 553849. Determine m(110).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 8, m: 3, x: 5, o: 2, h: 1}. What is prob of sequence xoh?\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (10 + (-336)\/36)*((-951)\/(-345) - 2) and -35\/11?\nAnswer: 1265","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 1603692.\nAnswer: 1603692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.4928 micrograms in grams?\nAnswer: 0.0000544928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 4 = 2*d, -15 = -4*j - 3*d + 2. Suppose j*r - 5*b = -1987, -4*r + 2*r - 1986 = -4*b. Is (-8)\/(-12) - 4\/(12\/r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from zesseeezeeeseszs?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2\/7 (b) -955 (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 6475*x**2\/4 + 336701*x\/8 + 13\/4 = 0. Calculate x.\nAnswer: -26, -1\/12950","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1154324098*s - 681873634?\nAnswer: -1154324098","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.935302797 rounded to three decimal places?\nAnswer: 0.935","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 962162266?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 0*j = -5*k - 20, -5*k + 5*j = -10 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.14348g in micrograms?\nAnswer: 14143480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -10. Suppose 21 + x = -3*i. Let g = 0 - i. Is g a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c**2 - 3*c**2 + c**2)*(3 - 3 + 7*c + 1).\nAnswer: 7*c**3 + c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n + 8. Let x be h(10). Let r = 78 - x. Suppose q = -2*q + r. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 5*i**3 + 9750750*i**2 + 4753768520160*i - 85570992635040 = 0.\nAnswer: -975084, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2569 is divided by 29?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cuf when three letters picked without replacement from cgupf.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of -s**3\/3 - 4*s**2 - 20*s - 38. Let h be c(-4). Put 2, h, -1 in increasing order.\nAnswer: h, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 48*w - 185. Let c(g) = 222*g. Determine y(c(n)).\nAnswer: 10656*n - 185","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 66969 + -4?\nAnswer: 66965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 290, 346, 414, 500, 610, 750?\nAnswer: 926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r + 6. Let f be d(4). Suppose -2*l + k + 22 + 67 = 0, -f*k = 2. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 24 = 2*i. Let f(r) = 9*r**2 - r - 1. Calculate the remainder when i is divided by f(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39116 divided by -14.\nAnswer: -2794","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 + -5. Which is the nearest to -1\/3? (a) 0.4 (b) -2\/3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, e: 4, c: 2}. What is prob of sequence co?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -304, -341, -408, -505, -632?\nAnswer: -789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1370516 divided by -48947\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-21)\/(-14) + (-1)\/(-2). Let l = -0.0666 - -0.8666. Let y = 145 + -1597\/11. Which is the third biggest value? (a) y (b) l (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 0*d - 4*d - 3*d**2 + 13*d**2 + 1. Is i(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 3 = 5. Suppose -2*t + 5 + 0 = n, o*n = -2*t + 6. Let z = -1831\/7 + 261. Put -0.1, n, z in decreasing order.\nAnswer: n, -0.1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104100 a multiple of 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 24*l**2 - 23*l + 9. Is p(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4393 + 3?\nAnswer: -4390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -4 + 32 - (-8)\/(-2) - -1 is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9.3 - -37.7. Let y = x + 15. Let g = y - 61.9725. What is g rounded to three decimal places?\nAnswer: 0.028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 400*(-4 + (-92)\/(-16)). Suppose 14*c - b - 966 = 0. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 + 4. Let b = 23 + -11. Calculate the remainder when 46\/(-3)*r\/4 is divided by b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3549359876?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12974 is divided by 993?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -7*x**2 + x + 5. Let z(k) = 8*k**2 - 6. Let q(c) = 6*y(c) + 5*z(c). Let h = 5 + 0. Let n(p) = -2*p**2 + 7*p. Give h*n(b) - 6*q(b).\nAnswer: 2*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3 + 1\/6*d - 1\/6*d**2.\nAnswer: -(d - 2)*(d + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of -s**7\/210 - s**4\/6 - s**3\/6 - 3*s**2. Let w(j) be the first derivative of d(j). Find the first derivative of w(x) wrt x.\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -10808, -43466, -97982, -174356, -272588, -392678?\n\"Answer: -10929*l**2 + 129*l - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5bccc7 - -1?\nAnswer: -5bccc6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((1*(-2 + (1 + sqrt(720))*-1 + sqrt(720) + 3))**2 + 4).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 10}. What is prob of sequence ggg?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + -a2?\nAnswer: -a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 1701 = 2*z - 197, 4*t = 2*z + 1504. What are the prime factors of t?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 4*i + 4, 5*i - i = 3*p - 24. Let u = -12 - p. Are u and -16 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2*o**3 + o. Let y(j) = -j + 2. Let h(r) = r**3 - 8*r**2 + r - 6. Let i be h(8). Let d be (i\/6)\/(5\/45). Let b be y(d). What is w(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15102.5 - 15103. What is the nearest to 0.1 in 4, -1, -43, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 AM and 4:27 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/((x**(6\/13)\/x)\/x))\/x**(3\/4))**(2\/3) assuming x is positive.\nAnswer: x**(31\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 0 + 154 + -51 + -58.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 74.4+-0.3\nAnswer: 74.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -4*k**2 + 5. Let w(y) = y**2 - 1. Let m(j) = p(j) + 5*w(j). Let b(t) be the third derivative of t**4\/8 + 3*t**2 - 1. Calculate m(b(l)).\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9)\/3 - -2 - -5. Suppose -3*l + n*l = 19. What are the prime factors of l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of -2*f**2 + 0*f + 0*f**4 - 1\/30*f**5 + 1\/6*f**3 + 0. Find the first derivative of g(w) wrt w.\nAnswer: -4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78 + 77 + 97 + 26*s - 253.\nAnswer: 26*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23*m + 27*m - 20 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + 2*u + 0*u)*(-11*u - u - 9*u) + u**2 + 3*u - 3*u.\nAnswer: -41*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 655 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 5 - 1 = 0. Let w = q - -8. Suppose v + 35 = w*v. List the prime factors of v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((182\/10829)\/((-4)\/(-14))).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 13 = -133. Let o(a) = a - 7. Let v be o(9). Suppose l - 3*r = v*l - 35, 2*r = 5*l - 90. What is the greatest common divisor of x and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -199 + 215. Let u be (-8)\/12*(-18)\/g. Put u, 2, -8 in decreasing order.\nAnswer: 2, u, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/553612 and -107\/2596?\nAnswer: 359294188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8300?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 + 3*l**2 - 5*l - 3. Suppose -x = -6*x - 15. Let f be v(x). Let i(k) = -k**3 + 13*k**2 - 11*k - 6. Calculate i(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4f40f (base 16) to base 11\nAnswer: -201992","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000100111000000010101 - 10111?\nAnswer: -11000100111000000101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5312 is divided by 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4145890 to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -698\/4439 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 29 = h + 1, -5*h - 2*u = 35. Let f be (0 + 1)*(22 + h). Let d = 9 + 9. Is f less than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t - 4*t + 5*t**2)*(t**2 - 2*t**2 + 0*t**2) + 2 + 2 - 6*t**4 - 3.\nAnswer: -11*t**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*b + 90 = -5*z, 3*z + 17*b - 13*b = 7 - 3 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17713469513 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -10749.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 6:35 AM?\nAnswer: 9:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-2\/3)\/b)\/(((b\/b**(-21)*b)\/b)\/b) assuming b is positive.\nAnswer: b**(-65\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 PM and 8:23 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10102460*q**3 + 4*q + 762840.\nAnswer: 60614760*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -40 - -45. Is z even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 - (40 + -53 + 19 + -29)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r + 5. Let z(f) = 8*f - 3656*f**2 + 3545*f**2 - 8*f. Give z(x(j)).\nAnswer: -111*j**2 - 1110*j - 2775","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 10811516 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 348 + -339. Calculate the remainder when (-8 - 76)*c\/(-6) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.9 - 9.5. Let d = n - 0.4. Let x = -16.7 - -17. Sort -2\/9, d, x in descending order.\nAnswer: x, -2\/9, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -2*l**2\/9 + 26*l\/9 + 20\/3 = 0?\nAnswer: -2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, j: 1, s: 5, y: 1, f: 1}. What is prob of sequence fy?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 2*v + d - 144, -d = -3. Let w = -23 + v. What is the greatest common factor of w and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -491*g + 9. Let a be u(-9). Suppose 0 = 5*d - a - 10627. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*d**4 + 3*d**4 - 4*d**4 - d**3 - 2*d**4 + 5*d**4 + 0*d**4 + (-2*d**3 + 0*d**3 + d**3)*(d + 0*d + d) - d**4 + 0*d**4 - d**4.\nAnswer: -6*d**4 - d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 287 + -1721\/6. Let w = 257 - 3339\/13. What is the third biggest value in -0.01, n, w?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g**3 - g**3 - 5*g**3 + g**3 - 3*g**3 + 4*g**3 + (-3*g - 2*g + 6*g)*(-2*g + g**2 + 2*g) + g**2 + 2*g**3 - g**2)*(-33*g - 22*g - 86*g).\nAnswer: -423*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (96\/(-20))\/(-8)*(-5)\/(-1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1.302723 millennia?\nAnswer: 13.02723","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/2*112\/6. Suppose -44 = -5*k + 4*o, 2*o + 2*o - h = -k. Let z(d) = d + 9. What is the tens digit of z(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178 is divided by 27?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -5*k**3 + 2*k**2 - 10*k + 10. Let q(l) = 11*l**3 - 5*l**2 + 21*l - 19. Let n(d) = 3*q(d) + 7*y(d). Is n(-14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -32. Let o be 6\/(-15) - x\/(-30). Which is smaller: o or 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*o + 3*o + 2*o**3 + (-3*o + 4*o - 2*o)*(o - o - 2*o**2) + (-653*o**2 + 653*o**2 - 257*o**3)*(-2 + 5 - 2).\nAnswer: -253*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 4*c**5 + 117956*c**4 + 117912*c**3 - 1179488*c**2 + 943616*c = 0.\nAnswer: -29488, -4, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -6426 (base 16) to base 12\nAnswer: -12a06","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m**2. Suppose v = -0 + 2. Let b(a) = -65 + 25*a**2 + 65 + 57*a**v. Give j(b(h)).\nAnswer: -13448*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 8*o. Let i be (7 - 0 - (-7 - -6)) + -1. Suppose -21 = -i*g + 21. Let c(k) = k - 5*k + g*k. Calculate c(s(y)).\nAnswer: 16*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*c**3 - 31*c**3 - 37*c**3.\nAnswer: -81*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2127.4 and -646.\nAnswer: 1374300.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 less than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/18764 and 95\/16.\nAnswer: 75056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2. Let f(p) = -p + 1256. Give f(c(l)).\nAnswer: l**2 + 1256","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzqlnjjqzqzfjzzff. Give prob of sequence zq.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, m: 5, a: 3, w: 3, g: 1}. Give prob of picking 3 w.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 808896?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -1292*r**2 - 1287*r**2 - 1278*r**2 + 1 + 3845*r**2. Let g(d) = -7*d**2. What is g(m(y))?\nAnswer: -1008*y**4 + 168*y**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -42 (base 6) to base 4\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 times -0.3763577?\nAnswer: -99.3584328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (60\/18)\/(6\/9). Let f = -318 + 316. Let o = 0.9 - 9.9. Which is the closest to 2? (a) o (b) n (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - ((-1 - -23) + -26)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.02? (a) 1 (b) -0.2 (c) 0 (d) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -57*m**3 + 33*m**3 - 30*m**3 + (5 - 3 - 4)*(0*m**3 + 0*m**3 + m**3) - m**3 - 5*m**3 + 4*m**3.\nAnswer: -58*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 10*g. Let t(k) = 1894*k - 1. Give s(t(b)).\nAnswer: 18940*b - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eemf when four letters picked without replacement from eeeemmmfamfa?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -25.342\nAnswer: 101.368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4503 - 4501. Let g = -4853\/44 + 439\/4. Let m = 8\/11 + g. Put m, t, -0.2 in descending order.\nAnswer: t, m, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -40886243\/91 + 449306. Let t = 48\/7 - y. Which is smaller: -2\/5 or t?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -56, -67, -80, -95, -112?\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6.79 - -6.789311. What is w rounded to 4 decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t - 1. Let q = -2 + 3. Let d be q*((0 - 0) + 4). Is r(d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6675 and 14863?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - 1841b5?\nAnswer: -1841b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/2 - ((-12)\/8 + 1) - (-121 - -118).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 4. Let s = -54294 - -54297. Which is the nearest to v? (a) -0.07 (b) 5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -r + 15, 2*r + 5*p - 60 = -0*r. Calculate the highest common factor of 10 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 2112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fof when three letters picked without replacement from ooofofofofoof?\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 3*s - 4*u - 0*u, -3*s = 5*u + 22 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + -1. Let o(p) = -4*p + 6. Let n(g) = g - 1. Let s(z) = t*o(z) + 6*n(z). Let x(u) = -2*u + 12*u - 4*u - 4*u. Calculate s(x(w)).\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5773 is divided by 720.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.39 * -0.4\nAnswer: -0.156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -268 + 278. What is the greatest common factor of 390 and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 - 8*c**2 + 15*c - 10. Give l(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 - 9*x - 6. Let t be q(-8). Is 6 a factor of (-6 - -16) + t*-1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20075464.\nAnswer: 2, 2509433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*w**5 - 21*w**4 + 39*w**3 - 3*w**2 - 42*w + 24 = 0. What is w?\nAnswer: -1, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 160 = 3*n - n, -20*m + 251 + 446 - 97 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 2) in base 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**4\/17 - 64*k**3\/17 - 26*k**2 + 68*k.\nAnswer: -2*k*(k - 2)*(k + 17)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -925*n - 3708*n = -440135 for n.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 1 = 4. Suppose -4*t - v*s = -37, -t = 3*s - s - 13. Let w be 2\/(((-18)\/(-21))\/t). Put -4, w, 0, 1 in decreasing order.\nAnswer: w, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -0.1, 38 in descending order.\nAnswer: 38, 6, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.146 times -7?\nAnswer: -386.022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 4*y - 6 = 0. Let a be 8\/y*(-33)\/12. Let f(i) = -3*i**2. Let h(g) = -5*g**2. Let o(k) = k + 2. Let t be o(4). Give a*f(d) + t*h(d).\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - ((2 - -2) + 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 3*b + 227, 4*g + 3*b = 5*b + 494. What is the remainder when g is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.2 - -4.7. Let h be (-3)\/9*2\/6. What is the second smallest value in w, h, 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*((m**(-1\/8)\/m)\/m)\/m)**(25\/4)\/(((m**(1\/8)\/m)\/m)\/m**(2\/5)) assuming m is positive.\nAnswer: m**(-1761\/160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 50927 * -244.\nAnswer: -12426188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 PM and 9:13 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.9 - 3. Let p = 0.01 + -2.01. Let t = 4 + p. Which is the second biggest value? (a) v (b) t (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/1830 and -8\/1281.\nAnswer: 12810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -11 + -39?\nAnswer: -4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 times -1.182?\nAnswer: -10.638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 907 - 125. Let w = f - -255. Let c(h) = -h**2 + h + 1. Determine c(w).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 3 - 10 = -4*z, 33 = 4*z - 5*p for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 133464923?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1423 - -1416 - (9 - -1).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 373721, 747445, 1121169?\nAnswer: 1494893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (349 + -348)*(1*-1 + 1). Factor u - 2\/7*c**2 - 6\/7*c**4 - 2\/7*c**5 + 0*c - 6\/7*c**3.\nAnswer: -2*c**2*(c + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c - 2838?\nAnswer: -2845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/1 - (-8 + -1 + 4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 7*l**2 - 362*l + 613. Determine m(50).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12\/(-20) + 3\/5. Let k(w) = w**2 + w + 2. Let r be k(-2). Let c = o - r. Is -4 smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(6\/4) - (-10)\/(-20). Is 3 at least as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 49172032*q**2*t + 240720*q**2 - 4*q - 7 wrt t?\nAnswer: 49172032*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 + 9*q**2 + 6*q + 1. Calculate x(6).\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 v when two letters picked without replacement from iiiexiieviiexiii.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/4*9594\/(-13). Let z = -125 - f. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 j when two letters picked without replacement from aaaqajajmajadmaj.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/63*(-4950)\/(-220).\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -3*x - 14 - 3 + 2*x. Let r be k(-12). Let w = 1223\/7 - 175. Which is bigger: r or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 929475?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 t when two letters picked without replacement from {t: 1, g: 1, c: 2, o: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhu when three letters picked without replacement from uhbhhbhhhhbbhh.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3069 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 251545 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 9:12 AM?\nAnswer: 12:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -80 divided by -10.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3252 - -3257. Let w = 0.2 - -0.3. Sort p, 1, w in descending order.\nAnswer: p, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 - 6*t**2 - 6*t - 2. Suppose i + i = -10. Let p be g(i). Suppose 435 = p*d - 3*k, 78 + 345 = 3*d + 3*k. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**2\/3 + 9352*f\/3 - 3444160\/3.\nAnswer: -4*(f - 1880)*(f - 458)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.02 - -5.02. Let n = 2.88 - -0.12. Let d = -459 + 457. Which is the nearest to 2? (a) d (b) s (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 569 divide 70113344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 240\/389 in 0.2, 5, -0.1, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 325437 is divided by 40678?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6*(-1 - -2) + 1189 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 145 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 4*l = -2. Let s be (0\/l)\/(-10 + 8). Suppose s = -3*j + 3*f + 141, 6*j = j + f + 215. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 301.3 + -296.3. Let d = -0.04 - 0. Sort -6, y, 3, d in decreasing order.\nAnswer: y, 3, d, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/42*((-63500)\/51875 - 4\/(-166)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 to the power of 1\/2, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15 and 3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 11*h**3\/6 - 245323*h**2\/6 + 455938371*h\/2 - 41448267\/2 = 0.\nAnswer: 1\/11, 11151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4375058501 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6518581 to the nearest integer?\nAnswer: 2553","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/2, -0.03, 3\/7, -2\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -143999, 3, -3, -4, 2, 5.\nAnswer: -143999, -4, -3, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 - 11. Let w be (-5)\/a + (-3)\/(-2). Let m be (0\/w - -2) + -2. Solve m = -5*l - 4*s, -l + 3*l - 5*s = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -295 - -293. Let d(u) = u**3 - 3*u**2 + 7*u + 9. Let q be d(4). Put q, r, 3 in decreasing order.\nAnswer: q, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4224*k**3 - 4510*k**3 - 4552*k**3 + 13294*k**3.\nAnswer: 8*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -574 + 578. Suppose 0 = -l - 5*d + 17 - u, 11 = l + 4*d. Solve -l*t = -9, 0*c - t - 5 = 4*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -i - 9. Let d be (-10)\/45 + i\/9. Sort -2, d, 3 in decreasing order.\nAnswer: 3, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -352\/9*o**2 - 46\/9*o**3 - 2\/9*o**4 - 896\/9*o + 0 = 0?\nAnswer: -8, -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -356 - l - 40133*l**3 - 40142*l**3 + 9 - 2*l**2 + 80273*l**3 as g*l**3 + s*l**2 + t + m*l and give t.\nAnswer: -347","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -70\/5751849 and 44\/4167.\nAnswer: 17255547","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 3*w + 4. Suppose -3*u = -19 + 4. What is the tens digit of q(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(2\/13)*m)\/(m**7\/m))**(1\/8)\/((m*m**(-13\/4))\/m**4)**19 assuming m is positive.\nAnswer: m**(3075\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23 - (-14877)\/(-646))*-353 - 1\/(34\/(-4)).\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of -y**5\/80 + y**4\/24 + y**3\/6 - y**2 + 10*y. Factor p(g).\nAnswer: -(g - 2)**2*(g + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*x**3 - 321*x**4 - 5956 - 360*x**2 - 3*x**3 + 5956 wrt x.\nAnswer: -7704*x + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hlhlhlwjjgjlhjy. Give prob of sequence lhhh.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -9782*v + 39127. What is n(4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-44) + -9 + (-4724)\/(-572)?\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-14)\/(-5)*5\/(-4)*(-1 - 483). Calculate the highest common divisor of m and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - 2. Let s = -1316.7 + 1317. What is the closest to 2 in -0.16, z, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2*s + 18. Calculate l(-6).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*c**3 + 102*c**2 + 72*c**2 - 38*c**2 + 7*c**3 to the form y + q*c + r*c**3 + w*c**2 and give w.\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ps when two letters picked without replacement from shhkhhshkhhhsps?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6108529 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a**(-12)*a))**(5\/12)*(a*a\/(a\/(a*a**(3\/31))))\/(a*a**(-40)))**44 assuming a is positive.\nAnswer: a**(186923\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -5*l**2 - l + 3. Let a be i(3). Let s = -136\/3 - a. Let x = -20.7 - -21. What is the biggest value in x, -0.1, s?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5570006.\nAnswer: 2, 13, 283, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (9\/(-4))\/((-39)\/208)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2040 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*q**2 + 14*q + 6*q**2 + 11*q**2 wrt q.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-12)*(-4)\/(-5)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 10*c**2 - 3. Let i(z) = z**2 - 1. Determine 5*i(b) - k(b).\nAnswer: -5*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13131 is divided by 61.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 220 is divided by 77.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 5*l**2 - l - 4. Suppose 2*o = 8, -3*t = -4*t + 3*o - 11. Let w(q) = q**2 + q + 1. Let p(j) = t*w(j) + s(j). What is the derivative of p(r) wrt r?\nAnswer: 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 5*k = -2480 - 2957, 3*k = 5*s - 27119. Let i = 43319\/8 - s. Let a = -117251\/14280 - 7\/2040. Find the common denominator of a and i.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7818 * 0.1.\nAnswer: -781.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 23*v + 1. Let g(h) = -12*h. Calculate -5*g(w) - 3*j(w).\nAnswer: -9*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28.0018556 - 0.0170444. Let h = d - -28. What is h rounded to three decimal places?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7937779951 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h**2 + h**2 + 0*h**5 - 5*h**5 + (-2*h + 2*h**3 + 2*h)*(16528 - 35*h**2 - 16528).\nAnswer: -75*h**5 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 0.1 (c) -356 (d) -2\/3 (e) -2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w - 5. Let h be y(5). Let a = h - -17. Suppose 4*z**2 + z + a*z - z**2 = 0. What is z?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10149 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (181*o - 181*o + 146*o**2)*(38 - 114 - 46)*(-3*o - 2 + 2) to the form y*o**3 + g*o + a + k*o**2 and give y.\nAnswer: 53436","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ulooftiu. What is prob of picking 1 u and 1 f?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -27*h*s**5 - 8*h*s**3 + 4426*h - s**2 wrt s?\nAnswer: -1620*h*s**2 - 48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00177526 to four decimal places.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 522809 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -483 - -488. Sort 1.6, -3, h, 2\/7.\nAnswer: -3, 2\/7, 1.6, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2633291 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**3 + 3646315*l**2 + 7292645*l + 3646325.\nAnswer: -5*(l - 729265)*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -8, -0.3, -0.4, 0 in ascending order.\nAnswer: -8, -0.4, -0.3, 0, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -290.8866 + 290.9. Which is the smallest value? (a) -3 (b) u (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(4212) + -2) - (sqrt(4212) - ((1 + sqrt(4212) + sqrt(4212))*4 + sqrt(4212))))**2*6 + 3)*-3.\nAnswer: -307881 - 20736*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 66093 < -356?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/20 and 27\/70848868.\nAnswer: 354244340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-44)\/(-6)*-1)\/(4\/60*(-7960)\/(-199))?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/5 (b) 52 (c) -3\/10 (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.242731 to two decimal places.\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -2329004.2?\nAnswer: 4658008.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 0.2. Let d = -7 + 12. Suppose d*p = -4*r + 7 - 2, 0 = -4*r - p + 17. Put 3, r, k in increasing order.\nAnswer: k, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 - 1 - (10 - (0 + 8 + -3))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -3 + 5*(-4*sqrt(612)*1 + sqrt(612) + sqrt(612))*-6 + 3 + 0.\nAnswer: 1 + 360*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/20 and 47818\/649656 - (-5)\/(-70)?\nAnswer: 232020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 334*z + 338*z = 4, 2*i + 2 = 2*z for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= 1\/499?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -2 - (21 + -28)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 517 - 545. What is the second smallest value in h, -5\/4, -0.05?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-12)*a*a*a**(10\/3)\/a)**(-41))**(13\/2))**(6\/5) assuming a is positive.\nAnswer: a**(12259\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**5 + 3*t**3 + 2*t**3 - 3*t**3 + (t - t**2 - t)*(-4*t**3 - 29*t**2 + 29*t**2) + 2*t**5 + 0 + 0 - t**5 - t**5 + 3*t**5.\nAnswer: 8*t**5 + 2*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 20*k**2 - 312424*k + 62484 = 0. Calculate k.\nAnswer: 1\/5, 15621","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1894681015?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -86217*u**4 - 56610*u**2?\nAnswer: -2069208*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 72734560?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s + 10679 + 7493 = 0. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.287 (b) 0 (c) 3 (d) 4 (e) -2\/5 (f) -0.3 (g) 2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4664 and 110.\nAnswer: 23320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 46 + -42. Suppose -n*z + 0 = -3*m - 9, -z + 4*m - 1 = 0. Suppose 51 = z*u + 15. Calculate the lowest common multiple of 6 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -14041 - -59?\nAnswer: -13982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115981241.\nAnswer: 6079, 19079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 36*g - 4. Determine h(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 1236346?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133332?\nAnswer: 2, 3, 41, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1552579109 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 259, 526, 777, 994, 1159?\nAnswer: 1254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9013783 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/33 bigger than -4\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.0281140446 - 1.0284?\nAnswer: 1.9997140446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 2643 + t**2 + 0*t**2 - 5166 as r*t + a*t**2 + n and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4485.48773 + -4784.4892. Let m = 299 + r. Round m to four dps.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 11, -5, -14 in descending order.\nAnswer: 11, 1, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d + 4. Let v be g(-2). Let j be (-4)\/12 + v\/6. Solve y - 6*y = j for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) -5 (b) -0.15 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 33*j + 703. Give q(-21).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3083, -6166, -9219, -12224, -15163, -18018?\nAnswer: -20771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 - 0.1. Let n = -2.969783 + -0.030217. Which is the third smallest value? (a) p (b) 0.03 (c) n (d) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m + 5*m - 4*m)*(-5 + m + 5) + (0 + 0 - m)*(21*m - 64*m + 37*m).\nAnswer: 9*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2125 and 2125.\nAnswer: 2125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 + 11*n**2 - 58*n - 90. Determine l(5).\nAnswer: -230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b**3 - 8*b**2 - 2. Let m be k(6). Let o = m + -1280\/9. Is o != 1\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.08874 - 0.08879683. What is s rounded to six decimal places?\nAnswer: -0.000057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (-1 - -4 - 5)) + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/(-4)*6\/5. Suppose 4*d + s*i - 30 = d, 0 = 2*d + 3*i - 23. Find the third derivative of 7*n - d*n - 2*n**2 + 5*n**2 + 4*n**3 wrt n.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6 + -3 + -1 - (4 + -5). Suppose 11*g**2 + 2*g - 3*g**3 - 2 + g**q - 7*g**2 - 2 = 0. Calculate g.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20235658.99999984 + 20235665. Let k = a - 6. Round k to seven dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 100232 - 155?\nAnswer: 100044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29955 + 50622. Is 5 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**14*t**0*t*t*(t**(-2\/57))**(-17) assuming t is positive.\nAnswer: t**(946\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 459380 is divided by 107?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 836064.7l in millilitres?\nAnswer: 836064700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 617 divided by -1.\nAnswer: -617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.03 - -0.07. Suppose -2*j = -j + 4. Let a be 4 + -1 - (9 + j). What is the closest to a in d, 1, 2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4049 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63 is divided by 41.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41 is divided by 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 62165 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 21*h**3 - 4*h**2 + 2*h + 4. Let c be m(2). What is the highest common divisor of 20 and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a meter in millimeters?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/5 or -67150065?\nAnswer: -67150065","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 71*n**2 + 19*n - 6. List the prime factors of d(12).\nAnswer: 2, 3, 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 3*b - 6. Let o be f(4). Let l = 13 - 15. Let s = l + o. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of -c**5\/4 + c**4\/2 - c**3 - 50*c. Let w(a) = -11*a**3 + 11*a**2 - 11*a. Calculate 11*l(z) - 6*w(z).\nAnswer: 11*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 89 + -50. Factor 11*y**3 - 9*y**3 + j*y**4 - 33*y**4.\nAnswer: 2*y**3*(3*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.064, 4.8, 6 in ascending order.\nAnswer: 0.064, 4.8, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 90173719 to the power of 1\/2, to the nearest integer?\nAnswer: 9496","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 96.6? (a) -0.5 (b) -2 (c) -4 (d) 1 (e) -5643\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 102*p. Let q(v) = -7*v**2 + 3*v. Let l(t) = 12*t**2 - 5*t. Let z(r) = 3*l(r) + 5*q(r). Calculate z(m(j)).\nAnswer: 10404*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*g = 5*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 131 = -5*h, -a - 47 = 5*h + 82. Let f = h + 29. Solve f*q = -4*m + 8, -11 = -2*q + 6*q + m for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*a - 28*a + 26*a + 26096 = 33886 for a.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/4 (b) 4 (c) 73 (d) -2\/5 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1863?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-3 + ((5*(sqrt(171) + (sqrt(171)*-1 + sqrt(171) - sqrt(171)))*-4*2)\/((-3*sqrt(63)*-1)\/sqrt(7)*5))**2).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 5452?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 + 35*d**2 - 35*d + 26. Calculate y(-36).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 + 2)*(-2*t - 1 + 1) + (-96 + 217 + 24)*(-3 + 5*t + 3) + 3 - 3 - t - 2*t + 0*t + 3*t in the form v*t + z and give v.\nAnswer: 723","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11551.\nAnswer: 11551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72036 is divided by 57.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 + 10*n - 5. Let r(j) = -j + 4. Let c be r(-10). Let d = c + -25. Let k be q(d). Let z(x) = -x**3 + 5*x**2 + 5*x + 4. Give z(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 244 = 406. Let q = 17347 - 17303. What is the remainder when y is divided by q?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7089459 divided by 48?\nAnswer: 2363153\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 80*-538.4\nAnswer: -43072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(605) + -4 - (sqrt(300)\/(sqrt(6) - (sqrt(6) - sqrt(24)) - sqrt(6)))\/sqrt(10))**2 + ((sqrt(880)*6)\/sqrt(11) + 4)*2.\nAnswer: 144*sqrt(5) + 744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 47992?\nAnswer: -239960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g + 5. Let j be y(7). Let r = j - -7. Let i = r + -2. Solve -5*t = -3*w - 11, -i*t - 3*w + 24 = w for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 559710.\nAnswer: 2, 3, 5, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnneeennmnnmccnzee. What is prob of picking 1 m and 1 z?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 4*p**2 + 7*p - 6. Suppose 5*r = -v + 49, -184*r - 62 = -188*r + 3*v. What is the remainder when q(-7) is divided by r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 471307 is divided by 478.\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/((16\/4)\/(-4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 u, and 1 z when three letters picked without replacement from {z: 3, t: 2, u: 1, r: 1, v: 7}?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 489617610, 489617612, 489617614, 489617616?\n\"Answer: 2*a + 489617608","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 5*z + 37 = 0, -3*z = -5*p - 6*z + 5 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 218, 454, 708, 980, 1270, 1578?\n\"Answer: 9*v**2 + 209*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 587344 + -122?\nAnswer: 587222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2178*a + 549*a + 207*a + 417317 - 126851 = 0 for a.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 1\/80775342?\nAnswer: 1\/80775342","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 + 296*n**2 - 20736*n - 1185. Calculate w(114).\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-76)\/(-4) - 8 - -30631?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qnqnqnnnnnnnqn. Give prob of sequence qnqq.\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.3 + 0.5. Let m(q) = -q**3 + 2*q - 1. Let p be m(1). What is the closest to p in -0.3, k, 1\/4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -67 + 136. Calculate the lowest common multiple of m\/12 - 12\/16 and 3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**0)**(14\/3)*(b*b\/(b*b**(-3)\/b*b))**(12\/5))**(-41) assuming b is positive.\nAnswer: b**(-1968\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 580460.4ns in seconds?\nAnswer: 0.0005804604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 849662 divided by -4.\nAnswer: -424831\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence et when two letters picked without replacement from {t: 1, e: 1, p: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, 2, 4, 5, -2 in decreasing order.\nAnswer: 23, 5, 4, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 365 in 0, 0.1, -5\/6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.8 - 4.8. Let i = 0.4193 + -0.3193. Is i greater than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 28047.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 22\/15 smaller than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.6 + 9.5. Let v = -16617.1037 + 16621. Let r = v - h. Round r to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 + 3. Let h be 2\/i + 18\/(-45). Which is the second biggest value? (a) 4 (b) 2\/13 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1861 + -1861. What is the biggest value in -4, c, 0.0609?\nAnswer: 0.0609","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15767.44 - -15767.5199993. Let o = 4.08 - 4. Let y = k - o. Round y to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-736*x - 143*x + 185*x)*(x + 3 - 3)*(0*x - 2*x + x).\nAnswer: 694*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 67233063 to the power of 1\/5, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from tmntmkmtnf.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2402392, -2402382, -2402368, -2402350?\n\"Answer: 2*r**2 + 4*r - 2402398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g + 24. Let c(o) = 7*o - 20. Give a(c(v)).\nAnswer: -7*v + 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4135, 8359, 12583?\n\"Answer: 4224*z - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-10) - 17\/5. What is the biggest value in 0.4, -5\/22, n?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 - j**2. Let d(f) = -8*f**4 - 20*f**2. Let i(c) = -d(c) - 5*y(c). What is the third derivative of i(n) wrt n?\nAnswer: 192*n + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -314 + 407. What is the remainder when m is divided by 31?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + c = p + 9, -5*c = p - 9. Is p\/(-26) + 9494\/26 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4987, 4989, 4991, 4993, 4995?\n\"Answer: 2*n + 4985","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 b when two letters picked without replacement from xbxvbvbxvxx.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 270 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -22896468 rounded to the nearest 1000000?\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d**3 + d**2 + 4*d - 9. Let c(h) = 3*h**3 + h**2 + 7*h - 15. Let i(m) = 3*c(m) - 5*u(m). Suppose -2*z = -z + 3. What is i(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 4*c - 5*a, 5 = -5*a - 0. Suppose -4*f - 11 - 5 = 0. Which is bigger: f or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*f + 2\/3*f**2.\nAnswer: 2*f**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 101988, 203944, 305866, 407754, 509608, 611428?\n\"Answer: -17*f**2 + 102007*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 440 times -0.18\nAnswer: -79.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by 23.\nAnswer: 11\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 654 a factor of 1004599144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -49 + 49. Let b(h) be the first derivative of 1\/3*h**3 + 2*h + z*h**2 + 1. Differentiate b(m) with respect to m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**2*c**1\/c)\/(c**(5\/4)\/c*c**(1\/9))*(c**2)**(-6\/25)\/((c*c**(-6)*c)\/c**(1\/2)) assuming c is positive.\nAnswer: c**(5093\/900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2980)\/(-3576) + 89\/(-6).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -36*y**3 + 48*y**2 + 38927*y.\nAnswer: -216*y + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45776 - 50916.\nAnswer: -5140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 + 7347470*a**2.\nAnswer: 7347470*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**4\/2 + 25221*m**3 + 141321654*m**2 + 263705937276*m - 1057086510096.\nAnswer: 3*(m - 4)*(m + 5606)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - 4. What is the first derivative of y**a + 3*y**3 + 2 - 5*y**3 wrt y?\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 + 5*r**2 + 5*r + 2. Suppose 5*b - 33 = 27. Suppose 0 = 4*q + b, l + 5*q + 12 = 2*l. List the prime factors of n(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 5120000 = 3*g. What is g rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 130 - 134. Sort 0.08, u, 3\/4.\nAnswer: u, 0.08, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 q when three letters picked without replacement from {q: 11, b: 7, t: 1}.\nAnswer: 385\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 24, -117, -42, -5 in ascending order.\nAnswer: -117, -42, -5, 1, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, p: 2, g: 2, j: 2, h: 2, i: 1}. Give prob of picking 1 g and 1 z.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 33614 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.71542444 to 1 decimal place.\nAnswer: 4.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 5*t + 5, 0*s + 2*s + 3 = -3*t. Solve 0 = 2*j - 4*j + 2*u - 6, 3*u + 3 = s for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81653107?\nAnswer: 81653107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 3*z + 17, -52 + 51 = -o - z. Solve -5*y + 3*q - 16 = 0, -12 = -y + 2*y - o*q for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15014\/491 greater than -31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -536*l + 528*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (8\/20)\/(4\/10). Let w be ((-6)\/4)\/((-3)\/(-6)). Let j = 5 + w. Which is smaller: a or j?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2210*k - 118 + 54 - 76.\nAnswer: -2210*k - 140","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**5 - 55*r**4 + 140*r**3.\nAnswer: 5*r**3*(r - 7)*(r - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 7*n**3 - 2*n**2 + 2*n - 2. What is the units digit of o(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3936.30892 + -3937. What is n rounded to 1 decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11212 - 303?\nAnswer: 10303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30367, -2, -27 in decreasing order.\nAnswer: -2, -27, -30367","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 3*x + 35. Let z be i(-10). Suppose 250 = 3*t + z*w, 2*t + w - 168 = -2*w. Let c = t + -87. Calculate the lowest common multiple of 9 and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 4*u = -43, -u = -4*m + 3*u + 36. Let v be -4 - 0 - (120\/m)\/(-4). Sort v, -3\/2, 2 in descending order.\nAnswer: 2, v, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.04, 4, 1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 11:01 PM?\nAnswer: 1:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -396 (base 11) to base 2\nAnswer: -111010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 33 = 4*v - 42, 3 = -o. Suppose p = 5*s + 5, -2*p - v = 3*s + p. Let d(i) = -8*i - 1. Determine d(s).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.35 + 0.45. Let c = -0.3 - 47.7. Let s = c - -38. What is the closest to -1 in l, s, 0.3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of 0 - 2*d**3 + 3*d + 13\/2*d**2. What is the units digit of w(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1934790 and 2706.\nAnswer: 1934790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58175041?\nAnswer: 1303, 44647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/(-140))\/((-2)\/(-4)*2)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 111343, 111295, 111249, 111205?\nAnswer: 111163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g = -7*g + 35 + 1. What is the highest common divisor of g and 2734?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -186*g**3 - 10*g**2 - 13*g - 3. Let y(w) = 62*w**3 + 3*w**2 + 4*w + 1. Determine -2*o(v) - 7*y(v).\nAnswer: -62*v**3 - v**2 - 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - k - 86 = 103, 0 = 3*k - 3. Let q = g + 46. What is the remainder when q is divided by 17?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2 + 1397*g - 958104.\nAnswer: (g - 504)*(g + 1901)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99 - 235*o**2 + 42 + 233*o**2 + 64.\nAnswer: -2*o**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + (-35 - (-13 + -3)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of 1 - 8*l**3 + 9\/2*l**4 + 4*l**2 + 0*l. Find f, given that z(f) = 0.\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of -2*f**4\/3 - 51*f + 2. Let j(g) = -3*g**2. Determine j(l(a)).\nAnswer: -192*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16182.79 - 16182.9700011. Let a = -9 - -8.82. Let n = w - a. Round n to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + 4 - 4)*(1 - 1 + 6)*((-8 - 11 + 17)*(-4 + 25 + 26) - 1 + 2 + 0).\nAnswer: 558*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 132, 207, 284, 363, 444, 527?\nAnswer: 612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11 - -121031?\nAnswer: 121042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 5*d + 29 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22583 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 6*v**3 + 28. Let x(p) = -10*p**3 - 48. Calculate 11*a(m) + 6*x(m).\nAnswer: 6*m**3 + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 46199 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7540?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - 11 - (-3 - -2 - (-3 - -8))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = 2*d, 74*d + p = -56*d + 131*d - 2*p + 8 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1, 5, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2996, 12024, 27072, 48140, 75228, 108336?\nAnswer: 147464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, g: 3}. What is prob of picking 3 g and 1 u?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (488\/(-4880))\/((-9)\/(1350\/(-8)))\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -94*i**2 - 78*i**2 + 165*i**2 - 21*i - 2 in the form l + m*i**2 + z*i and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -1147940.\nAnswer: 1\/286985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of z**3\/3 + 6*z**2 + 23*z + 18. Let d be y(-10). Let q be 0 - (4 + 82\/(-20)). Sort 0.5, 2\/11, q, d in increasing order.\nAnswer: q, 2\/11, 0.5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 80942833.000062 + -80942761. Let v = o - 72. Round v to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*y**2 + 16*y**2 + 25*y**2 + 8*y**2.\nAnswer: 37*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.082 - 1.082. What is the closest to 26 in 0, -4, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*v**2 - 23 + 27 - v - 3*v**2 + v**3 as t*v + s*v**3 + g + u*v**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -230 - -234. Sort d, -1, -4, -15.\nAnswer: -15, -4, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 + 6*q - 1. Let t be n(6). Let s = t + 5. Suppose 2*o - s*o = -2. Let c(u) = 7*u - 1. What is c(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 0 + 3 + 6*y**2 - 2*y - 2*y. Let c(s) = -s**3 + 5*s**2 + 13*s + 9. Let o be c(7). Calculate the remainder when i(o) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57001 is divided by 109?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -3114 less than 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 4*y = -15. Suppose -y*l + q + 287 = 0, -2*l - 4*q + 162 = -34. Calculate the highest common divisor of l and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1ab + 4?\nAnswer: -1a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 bigger than 1163\/417?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**4 + 2*g**4 + g**4 + g**2 - 3*g + g**4 + 3*g + (-3 + 5 + 0)*(-3*g**4 + 7*g**4 - 3*g**4) + 3*g**4 + 0*g**3 + 0*g**3.\nAnswer: 7*g**4 + g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2617010419 to the power of 1\/2, to the nearest integer?\nAnswer: 51157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -61, -56, -51?\n\"Answer: 5*l - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 4*p**3 - 2*p + 17. Let i(y) = -9*y**3 + 2*y**2 + 5*y - 35. Let z(t) = 3*i(t) + 7*l(t). Give z(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 143*r**3 + 5*r**2 - 19*r - 23. Calculate x(-1).\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4062944014.\nAnswer: 2, 151, 13453457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24 - -28. Suppose -4*m + 7 = 4*z + 3, 4*z = 5*m - 5. Suppose -15*g + 16*g - 10 = z. Solve g*q = -5*j + 5*q - 10, q + 8 = -a*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*j + 16. Suppose -25*l + 22*l + j = 0. Suppose -5*w + 3 = -l. Which is greater: -2\/139 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 - -20.20508973448.\nAnswer: 19.20508973448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 63*p - 2. Let r(g) = -23*g + 18. Let x(k) = -27*k + 21. Let j(z) = -7*r(z) + 6*x(z). Calculate y(j(w)).\nAnswer: -63*w - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48 + 1 - (-1498 + 1335).\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2431 != -580?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 249.0875 litres in millilitres?\nAnswer: 249087.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 + -6. Let n = o - 7. Suppose 12 = d - x + n, 0 = 2*d + 5*x + 6. Calculate the remainder when d is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 14.4917 and 3.25?\nAnswer: 47.098025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1486 or -1?\nAnswer: -1486","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -30141 divided by -591?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 217713, 434835, 651957, 869079, 1086201, 1303323?\nAnswer: 1520445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.327674 centuries in decades?\nAnswer: 43.27674","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 + 7*s + 2. Let g be (-1)\/(((-2)\/14)\/(-1)). Let t be d(g). Let a(x) = -x**2 + 0*x**t - x**3 + 2 + 5*x + 3*x**2. Calculate a(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 2*y**5\/7 - 1784*y**4 + 4955226*y**3\/7 + 1421132*y**2 + 4980208*y\/7 = 0.\nAnswer: -1, 0, 428, 5818","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 367 a factor of 12045263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + 0 + 0)*(-84 + 716 + 52)*(3*a**3 - 2*a**3 + a**3)*(2*a + 2 - 6*a + 7*a).\nAnswer: -4104*a**5 - 2736*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 214700, 430700, 646700?\nAnswer: 862700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 14) in base 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 317 + -311 + (0 + -1 - 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*i = 63*i + 285. Does 24 divide -1205*3\/i - -6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*p + 5*p + 4*p)*(3*p + 5 - 5 + (6 - 1 - 1)*(-2*p - 2*p + 6*p) + 14 - 19*p - 14) to the form h*p + l*p**2 + j and give l.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 9:33 AM?\nAnswer: 5:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8\/13 - 29\/26. Which is the second smallest value? (a) 0.5 (b) -1.02 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3555.433ng?\nAnswer: 0.000003555433","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51, 19, -65, -165, -245?\nAnswer: -269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 5*s + 11 = 0, -3*f + 4*s - 8 = -24. Suppose 0 = -o - f + 8. Let u be (8\/(-12))\/((-1)\/3). Solve -o*c = -16, 2*m - 5*c = -u*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-3\/5)*c\/(c**12\/c))**42 assuming c is positive.\nAnswer: c**(-2226\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1891743?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 77637 and 42?\nAnswer: 155274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 2 = 2*c + 4*k, -c - 5 = -4*k. Let g be c\/(-1)*0\/(-2). Suppose -3*x - 5*n - 5 = g, 4*x + n + 2*n = 8. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dqd when three letters picked without replacement from zdqzdqzzbdl.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 3*t = -4*q - 4, -3*t = -2*q - 3. Let n be ((-6)\/4)\/(t\/(-2)). Find the first derivative of -3 - 5*d**2 + 4 + n*d**2 wrt d.\nAnswer: -4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*x**2 - 2*x**2 - x**2)*(-2*x - 2 + 2)*(4 + x - 31*x - 3) to o*x**2 + i*x**4 + v*x**3 + p*x + g and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 24 = 4*l, 0 = -2*l + 6*l + 2*y for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 217 (base 13) to base 15.\nAnswer: 18d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92*j + 80*j**3 - 89*j**3 + 102*j + 99*j - 290*j.\nAnswer: -9*j**3 + 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110111111010101111011 + 10110?\nAnswer: -10110111111010101100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 298*b + 18621 = 9383 for b.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 36 = 17*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 8446738*d**2. Let q(a) = 6*a**2. Calculate u(q(k)).\nAnswer: 304082568*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 179 and 17363.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16*r**5 + 1085*r**2 + 274*r**2 - 5*r**3 + 97*r**2 + 137*r**2 wrt r.\nAnswer: -960*r**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - -695a?\nAnswer: 6959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-14))\/(885\/(-2065)*2\/6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(847) - (sqrt(847) + -1 + sqrt(847) + 4))*-4.\nAnswer: -220*sqrt(7) - 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -177, -1, 0, 12693 in descending order.\nAnswer: 12693, 0, -1, -177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 157 and 1.509.\nAnswer: 236.913","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3 - 78*d**2 + 2028*d - 17576.\nAnswer: (d - 26)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6920426?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(3) - (sqrt(3) + -1)) + -4 - sqrt(3))**2 - (-1 + sqrt(147) + sqrt(3))) + (sqrt(15)*2)\/sqrt(5) + sqrt(12)*6.\nAnswer: 13 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 + 51*x**2 + 4*x - 183. What is the lowest common multiple of j(51) and 102?\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106*g - 12 = -108*g. Let j be (3\/(-2))\/(6\/(-12)). Suppose 3*d = 2*d + j. Solve -g*o = -d*o + 9 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -117\/20 and 1\/160213860.\nAnswer: 160213860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3480 is divided by 266?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + 3*c + 647, 7*g = 4*g + 2*c - 392. Let v = -127 - g. Solve 2*k + 8 = -4*q, v*q - k + 6 = -0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnnrnr. What is prob of sequence rnrn?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 61*i + 34. Let n be y(3). What is the highest common divisor of 31 and n?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 149688?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 - 8*c + 7. Let v be (60\/(-35))\/((-4)\/14). Determine t(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20 + 39. Let k = l - 15. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*k**3 + 9*k**3 - 93*k**3.\nAnswer: -6*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -6*z. Let p(o) = -2*o**2 + 142 - 142. Determine p(a(x)).\nAnswer: -72*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (192\/20)\/4*15\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 165\/9 + (-1)\/3. Suppose -4*i + n = -i. Let v = -4 + i. Is v equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 28*f**2. Let w(y) = -115*y. Give k(w(p)).\nAnswer: 370300*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1027842?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9499.739 kilograms to milligrams.\nAnswer: 9499739000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 6*o - 4*z + 52 = 0, 2*o + 47 = 3*z. Let j(n) = -2*n + 1. Let t be j(o). Suppose 0 = 4*l - l - t. Solve -2*i - 5*s - 1 = -l, 5*s = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 122 + 7. Calculate the remainder when w is divided by 45.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17893?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2 from 12.9599983.\nAnswer: 12.7599983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3836592\/(-20544)*-6*4\/(-54).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 902 + -916.39. Let h = -11.39 - y. Let z = 2\/151 - 161\/755. Which is the nearest to z? (a) -5 (b) 0.4 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*y - 670 + 601 = -5*v - 11*y, 2*y = 5*v - 0*y + 63 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -7932917, -7932916, -7932915, -7932914, -7932913, -7932912?\n\"Answer: n - 7932918","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = -5*k + 8, 4*k + k - 32 = -3*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26 + 26. Suppose b = -6*f + f + 20. Find the second derivative of 11*i**4 - 8*i**4 + 13*i**f + 15*i wrt i.\nAnswer: 192*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r + 1. Let y = 1 - -1. Let o be d(y). Let g be (-22)\/o*(-1)\/(-1). What is the highest common factor of g and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - 9\/(-6))\/((-6)\/(-204)). Calculate the greatest common divisor of 5 and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 18390.8 to the nearest one thousand.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(-9) + 6010\/(-30). Let z = o + 1398\/7. Which is greater: z or 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (81 + -72 - (5 - (2 - -3) - -34)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*i - 11*i + 4 = 0, -3*j - 2*i - 31 = 0 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of -327*o**2\/2 - 5306. Let b(w) = 4*w**2 - 5. Let f(g) = -6*g**2 + 8. Let v(m) = -8*b(m) - 5*f(m). Give p(v(t)).\nAnswer: 654*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4064619?\nAnswer: 3, 13, 8017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 751648.\nAnswer: 2, 83, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1020090 and 2.\nAnswer: 1020090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/5)\/(4\/170). Let o be s - (0\/(-3))\/(-1). Let w = o + 64. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/1393316 (b) 4 (c) 2 (d) -1\/8 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -3. Suppose 15 = w*p - h + 2, -5*p + h + 21 = 0. Suppose 0 = -4*m + 6*m - 10, j = p*m - 18. Which is greater: 1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-5*(sqrt(84)*2 - sqrt(84)) - sqrt(84))\/(sqrt(24)\/(sqrt(2)*-2)).\nAnswer: 1 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 + 39 = 6*m - 5*m for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -44*f**3*i**2 - 32*f**3 - 3801*i**2 wrt f.\nAnswer: -132*f**2*i**2 - 96*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 + 8*c - 10*c + 8*c + c**2 - 4*c = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1576 (b) -7 (c) -2\/5 (d) 46 (e) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(637) + (0 + sqrt(637))**2 - sqrt(52)\/(sqrt(4)*2).\nAnswer: 13*sqrt(13)\/2 + 637","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -2. Suppose -g*c - 970 = -4*c. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2767634726?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 11:47 AM?\nAnswer: 11:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and 161.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**5 + 5*h**5 - 2*h**5)*(17 - 29 + 11).\nAnswer: -2*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - -1 - (7 + (24 - 32)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 - 13*q**2 - 76*q - 239. What is r(-7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 82325 or 82291?\nAnswer: 82291","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 104812016 to the nearest integer?\nAnswer: 10238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7.3 + -2.3. Let w = -4.5 + c. Let p = -2.9 - -3. What is the second smallest value in w, p, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 57*j + 1067. Determine q(-18).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1211.\nAnswer: 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s - 34636 = 51*s - 737267. What is the ten thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3818, 29387, 98470, 232823, 454202, 784363?\nAnswer: 1245062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 382278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2479 - -2406. What is the second biggest value in 1, -11, x?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2349 - 0.4.\nAnswer: -2349.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 k when three letters picked without replacement from llmpmllmlklmlkmlkm?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = -2*n + n. Calculate the remainder when n is divided by (13\/5)\/(2\/10).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 89\/1 - (-1 - -4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 638017 divided by 4?\nAnswer: 638017\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 8:01 AM?\nAnswer: 12:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rtvt when four letters picked without replacement from {v: 2, n: 1, y: 1, q: 3, t: 8, r: 2}?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1705 - 1598. What is the remainder when w is divided by (6\/(-60)*-4)\/(2\/140)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5144 and 80.\nAnswer: 51440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 319925.\nAnswer: 5, 67, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 897327?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32\/(-448)*24*7\/1.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + 1. Calculate the greatest common factor of 55 and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 9:55 AM?\nAnswer: 9:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -3*d + 2 + 6, -3*x + 3*d - 6 = 0. Suppose -4*y = r - 196, -r - 147 = -3*y + r. What is the remainder when y is divided by 2 - -2*15\/x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 125*((-14)\/(-28))\/(10\/(-8)). Let y = m + 53. Factor -6*j**y - 3*j**4 + 1313*j - 1313*j - 3*j**2.\nAnswer: -3*j**2*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w - 30. Let d be b(0). List the prime factors of (-27)\/(-15)*d\/(-9).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6122?\nAnswer: 2, 3061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 8 = 4*w, -5*w + 5*o + 54 = 89 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of 0*h**6 + 3*h + 0*h**5 + 1\/42*h**7 + 0*h**4 + 0*h**2 + 0 + 1\/6*h**3. Find the second derivative of p(c) wrt c.\nAnswer: 20*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) -43 (b) -1\/6 (c) -0.2 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 2.8. Let t = 1.5 - 1.5. What is the third biggest value in w, 0.5, t?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1715 (b) 3 (c) 1 (d) -215\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.26 + -1.04. Let c = o - -4.7. What is the closest to 18 in -0.3, c, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -2. Is (1 - -9) + (-1 - p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 3*h**2\/2 + 564*h + 53016 = 0.\nAnswer: -188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + 10)*7\/(-14). Let i(n) = 4 - n**2 - n**2 + n**3 - n + 7*n**2. Is i(h) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**2 + n**2 - 2*n**2)*(3 + 1 - 3)*(17*n + 0*n - 5*n).\nAnswer: -36*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r - 9. Calculate f(11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 3 a when four letters picked without replacement from {x: 2, n: 6, b: 5, h: 1, a: 5}.\nAnswer: 25\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bt when two letters picked without replacement from btl?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -601, -4, 0 in decreasing order.\nAnswer: 0, -4, -601","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 4*x - l + 3, 2*x - 5*l = 13. Calculate the highest common factor of 6 and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.3 (b) -5 (c) 2 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-d**2 + 0*d**2 + 3*d**2)*(-4*d + 0*d + d) + (-2 - 226*d + 240*d - 4)*(d**2 - 2*d**2 - d**2) as n*d**2 + c + q*d**3 + u*d and give q.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*((-2)\/10)\/(8\/(-8))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -6689, -13402, -20133, -26876, -33625, -40374?\n\"Answer: q**3 - 15*q**2 - 6675*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-4)*(-5)\/((-45)\/12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 - 1) + (-2)\/2. Let g(z) = -106*z - 9. Is g(v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1299 + -1282. What is the greatest common factor of t and 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 308.9836 litres in millilitres?\nAnswer: 308983.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (60\/(-70))\/((-3)\/336). Let a = t + -94. Find r such that 6\/5*r**a + 0 + 2\/3*r**4 - 4\/15*r - 8\/5*r**3 = 0.\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -97*i + 112*i. Let r = 10 - 5. Put i, -0.4, r in increasing order.\nAnswer: -0.4, i, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 2*u - 16 = 0, 4*d + 3*u - 2*u = 18. Suppose -2*x + d*x - 32 = 0. Solve -2*a - x = 4*z, 0*a + a - 22 = 4*z for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -7 + 0*s - 1 + s + 0. Let w be n(8). Suppose -2*v + 5*v - 9 = w. Is 2 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 0, 11, 30, 57, 92?\n\"Answer: 4*i**2 - i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 507054 by -84509.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 4*z = 2*r - 25, 3*r - 4*z + 7 = 0. Suppose -60 + 9 = r*x. Let m = x + 32. What is the remainder when 27 is divided by m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + (24\/(-6) - -8). Suppose -6 = r*y - 8*y. Let w(b) = b**3 - b**2 - b - 3. What is w(y)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 161 = -16*n + 1185. Solve n*h + 4 = 68*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wx when two letters picked without replacement from eaewx?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1078.51 plus 8.8?\nAnswer: 1087.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 90828745 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 55 - 36 = 0. Let t be (-1*1)\/(52\/o). Let h = 3.04 + -0.04. Which is the nearest to 0.2? (a) h (b) t (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19795525 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -27576, 847, 2 in decreasing order.\nAnswer: 847, 2, -2, -27576","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 2*g + 1 + 3*g.\nAnswer: g + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3437034 a multiple of 120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2310 + -3032?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 3523.2, -0.5, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/15 - (2 + 112\/(-20))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -68 - 8. Let b(h) = 15*h**3 - 2*h**2 + 2*h + 1. Let o be b(2). Let k = x + o. What are the prime factors of k?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 982963 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25552 - 77525\/3. Let x = f - -295. What is the common denominator of x and 64\/15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d**5\/9 - 44*d**4\/9 - 152*d**3\/9 - 136*d**2\/9 + 52*d\/3 + 20 = 0.\nAnswer: -5, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -457 in -0.3, 2\/7, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -5*y - 1. Suppose -8*i = -9*i - 1. Let b be m(i). Solve -b*z + 2*w - 16 = 0, 0*w + 4*w + 1 = -3*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-12) + 819\/2604.\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + -2012001100100121?\nAnswer: -2012001100100121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 9. Suppose -q = -0*j - j. Suppose -4*n + 22 = 2*f, -2*n + 5*f + 0 + 5 = 0. What is the least common multiple of n and j?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -i**3 + 16*i**2 + 39*i - 54 = 0. Calculate i.\nAnswer: -3, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -166*f**5*l**2 + 2*f**3*l**2*p - 20*f**2*l**2*p + 2*f**2*l*p - 6*l**2 wrt f?\nAnswer: -9960*f**2*l**2 + 12*l**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000039658803 to 6 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1533.01 or -119?\nAnswer: -1533.01","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -10606 >= 1\/32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -10 - -b?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 4*s - 16727 - 13082 = 0, -3*a = -2*s - 89377. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 146515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f = 11 + 61. Put -2\/9, 4, f in decreasing order.\nAnswer: 4, -2\/9, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -5*h**2 + 935754420*h - 43781816727476820 = 0.\nAnswer: 93575442","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -306, -596, -862, -1092, -1274, -1396?\nAnswer: -1446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 32803*f**2 - 282*f**3 - 32805*f**2 + 65608*f**2 in the form g*f + l + i*f**2 + h*f**3 and give h.\nAnswer: -282","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7316 - -34816. List the prime factors of l.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 4*u + 19. Let l be y(-4). Suppose -5*s - g = 2, -l*g - 11 = -5. Solve s = 2*h - 7*h + 15 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5565236 or -5565284?\nAnswer: -5565236","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*o - 54 = -13 + 199 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1001112 - -1?\nAnswer: 1001113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 573*u**2 - 7*u**5 - 2 - 573*u**2 + u**2 - u**2 + 2*u**5 - 3*u**5 - u**5 + 2*u**5 + (2*u - 6*u + 2*u)*(2 - 2 + 2*u**4) + 5*u**5 - 3*u**5 - u**5.\nAnswer: -10*u**5 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + -7 + -9 + -5 + -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/6 + 78\/14 + -4?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/3834 and -32\/7029.\nAnswer: 42174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.4 - -0.2. Let m = -218125.6 + 218126. Let k be 2\/3*(-3)\/(-7). What is the nearest to k in h, 1, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -50.924 and 1.4?\nAnswer: -71.2936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzpzzzzzzzzz. Give prob of picking 1 p and 2 z.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 5 = a, d = -3*d + 3*a. Let c be (-11)\/(-12) + 2\/(-8). Is c >= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -771*n = 7438 + 12608 for n.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5466, 3011, 556, -1899, -4354, -6809?\nAnswer: -9264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of r**7\/1260 + r**5\/60 - r**4\/12 + r**2. Let l(j) be the second derivative of s(j). Find the first derivative of l(b) wrt b.\nAnswer: 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 18*g**3 - 2*g - 2. Let j be o(-1). Let q = 4 - j. Let l be 214\/(-3) + 4 + q\/(-6). Are -69 and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + -39.9. Let a = b - -27. Let t = 8 + a. What is the nearest to -1 in t, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*m + 3*m - 8*m + m + 0*m - 3*m + (0 + 0 - 2*m)*(0 + 4 - 3) - 2*m + 2*m + m.\nAnswer: -13*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 61 - 60.9535. Let b = k - -0.0726. What is b rounded to 2 dps?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1854 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -236d (base 14) to base 15.\nAnswer: -1c68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -319099*b**2 - 170509 + 319096*b**2 + 170509.\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - (-2 + 10)) + -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmq when three letters picked without replacement from iiimqmi.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2563 is divided by 2539?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -a (base 16) to base 5\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2891 divided by -1.\nAnswer: 2891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 u, and 1 y when three letters picked without replacement from {y: 1, m: 1, v: 2, a: 1, u: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -394 + 567. Suppose 3*q - 307 = c. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 53, 107, 149, 173, 173?\n\"Answer: -w**3 + 61*w - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10510, 40549, 90620, 160723, 250858, 361025, 491224?\nAnswer: 641455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 4969*q**2 - 545*q + 23. Is o(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -112*t + 163?\nAnswer: -112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 - (0 - (41 + -1)). Let o be a\/(-28) + (-3 - (-10)\/4). Which is bigger: -3 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -17*r + 30. Suppose 0*o = 2*z + r*o - 182, -z = 5*o - 83. Calculate the highest common factor of z and 62.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.035193067 to four decimal places.\nAnswer: -0.0352","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18291 and 2211?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 175.5 + -175. Let s be 2\/4*10\/35. What is the second smallest value in s, -2\/15, -0.1, o?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1520 (base 7) in base 16?\nAnswer: -25a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4852 is divided by 40?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 - 43*l + 377. Determine t(-51).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -56 + 66. Solve -y*x + 5 = -11*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 198 and 396?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 159204162.\nAnswer: 2, 3, 13, 2041079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 3*f - 30565 + 3697, -3*c + f + 16120 = 0. Let p = c + -2932. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*o = 4691 - 869 for o.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 181 - 171. Suppose -4*a = -3*a + 5. Let x = n + a. Solve -g = 4*g + x for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + -4 - -2) + 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (5 - (-6 - (0 - 2)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 501.8 + -507.8. Which is the third smallest value? (a) -0.5 (b) f (c) -10 (d) -7 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20 + 201122022?\nAnswer: 201122112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 3*k = 260, -2*k - 195 = 5*o - 834. Suppose -5*c + 163 = -2*y, 5*y + o = 3*c + c. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -1236*w - 305. Is b(-17) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 305 = -3*j + 607 - 305, -14*n + 86 = 296 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of 6*x + 0 - 7\/4*x**4 + 0*x**3 + 0*x**2. Let n(c) = -c**2. Give n(w(r)).\nAnswer: -441*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -4*k - 7*s, 0 = -4*k + 2*s. Suppose h - g + 5*g + 13 = 0, -3*h + 5*g - 5 = 0. What is the closest to -0.1 in 2, k, h?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of -2*k**3 - 21*k**2\/2 + 11*k + 34. Let h(l) = -4*l - l**2 + 3*l - 3*l + 2. Determine 2*d(p) - 11*h(p).\nAnswer: -p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 144325?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 7:51 AM?\nAnswer: 4:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 85, 147, 207, 265, 321, 375, 427?\nAnswer: 477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 4 = 2*t. Let o(u) = -u**2 - 4*u. Let m be o(t). Suppose -4*s - 3*q = -15, 3*q = 5*s - 8 - m. Solve k - 6 = -b, -7*b + k + 9 = -s*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -211011 (base 3) to base 4\nAnswer: -21112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 342?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*b + 326*b = 8211 for b.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.003 + 0.00275. What is c rounded to 5 decimal places?\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40281360 divided by 6\nAnswer: 6713560","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -m**2*t*w + 17*m**2*t - 12*m**2*w**2 - 3*m**2*w - m*w**2 - 6*t*w**2 - w**2 wrt t?\nAnswer: -m**2*w + 17*m**2 - 6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 2*q - 8, 4*w + 4*q - 4 = 3*w. Suppose 3*r - w = -0*r. Suppose -2*x - x - 4*o + 19 = 0, -5*o = r*x - 25. Solve -x = -2*d + 3*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a gram in micrograms?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -18*f - 6. Let p(s) = -17*s - 6. Let g(d) = -3*k(d) + 4*p(d). Let b(w) be the second derivative of 5*w**3\/6 + w**2 - 16*w. What is 11*b(u) + 4*g(u)?\nAnswer: -u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-7) - (-2)\/7. Let g = 88 + -82. Suppose h = -4*j + g*j - 6. Solve -j*p - 3 + 0 = 0, -2*p = 3*l + 11 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7615 + 7615. Put 4, -5, f, 2, 241 in descending order.\nAnswer: 241, 4, 2, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15827, 31659, 47493, 63329, 79167, 95007, 110849?\nAnswer: 126693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 8) to base 11\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 + 10*i**2 + 6*i + 5. Let f be k(-10). Round f to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -113054 not equal to -113053?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of a**3\/6 + 11*a**2 - 7*a. Calculate the remainder when 44 is divided by i(-10).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7318 divided by 6.\nAnswer: -3659\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-6\/11)\/((y\/y**(-2\/15))\/y))\/(y**(-2\/9))**(3\/5))**(-44) assuming y is positive.\nAnswer: y**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -40*z + 53*z + 40*z + 64*z as g*z + k and give g.\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-18)\/((-216)\/3468)*1\/(-1). Suppose 5*u - 566 = -3231. Let j = f - u. List the prime factors of j.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 114 + 1?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6 + 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 b when three letters picked without replacement from {m: 2, r: 2, b: 4, x: 8}?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of -17*l**2 + 20*l - 16. Let j be v(-5). Suppose 0 = 2*k - 0*k - j. Does 22 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -37 + 35. Suppose 0 = 3*o - 4*m - 13 + 55, -o + 5*m = 14. Let j be 3 - 0 - o\/(-6). What is the third smallest value in k, j, -0.4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.8084951 and -0.03831?\nAnswer: 1.8468051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 2 + 6*(-3 + (-2 + 5*sqrt(11)*-1)**2 + 0)*-3.\nAnswer: -4967 - 360*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 + 12*k**2 + 28*k - 2. Is 33 a factor of l(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1896740, 4 in descending order.\nAnswer: 1896740, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -21*g**2 + 1. Let t be u(1). Let c = t + 47. Find the common denominator of ((-4)\/66)\/((-12)\/c) and -87\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 7:14 PM?\nAnswer: 1:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/(-4))\/(18\/24). What is the units digit of (k\/(-4))\/((-2)\/(-120))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2967857*q*x**4 - 2*q*x - 2*q + 63*x**5 - 191*x + 32121 wrt x?\nAnswer: -35614284*q*x**2 + 1260*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20097481087 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89 is divided by ((-2)\/(-6))\/(4\/228).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 AM and 7:17 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1\/3 - -1\/12. Let q = 72 + -81.7. Let u = q + 10. Which is the nearest to 4? (a) 2 (b) z (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -14640 - -53a?\nAnswer: -14101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do -2778 and -2780 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2757*k**3 - 911*k**3 - 916*k**3 - 913*k**3.\nAnswer: 17*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 19 in 13, -34, -967\/12?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -42 by 57.\nAnswer: -14\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express ((5*l - 2*l - l)*(-2 - 2 + 3) - 2*l - 5*l - 3*l)*(-2*l**2 + 2*l**2 + l**2) as m*l + c + i*l**3 + p*l**2 and give i.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12 + -238?\nAnswer: -238.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1586348.\nAnswer: 2, 19, 20873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 8 + 1 - 22.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) -0.01 (b) -22 (c) 1 (d) -0.3 (e) -508\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 128 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -3*q**3 - 15*q**2 + 74. Let c be y(-5). Solve -3*t = -5*m - 2, -c*m = -2*t - 72*m for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1924148.4 and 9.\nAnswer: 17317335.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -2 (b) -2.1 (c) 4\/5 (d) -38\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 4*i - 16 = 0. Find the second derivative of i*x**2 + 1 + x - 1 wrt x.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006974024 rounded to five dps?\nAnswer: -0.00697","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7212 a multiple of 175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, c: 1, h: 1, u: 1, y: 1}. What is prob of sequence ch?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2*h - 11. Let z be s(-8). Suppose z*f - 2*f - 36 = 0. Solve -11 = -4*y - 2*g + g, 3*g = 3*y - f for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1128\/752*(-4*(-5)\/(-400))\/(207\/48).\nAnswer: -2\/115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2832, -4, -3 in ascending order.\nAnswer: -4, -3, -2, 2832","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a\/(a*a**34)))\/a*a)**(-48)\/(a**(-24))**(-9))**(1\/6) assuming a is positive.\nAnswer: a**(-316)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 27862839.6 to the nearest one thousand.\nAnswer: 27863000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 2, -27, -88, -193, -354, -583?\nAnswer: -892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38 - 16*b - 78 + 39 + (-b - 2*b + 4*b)*(-5 + 0 + 3))*(0 + 0 + b**2).\nAnswer: -18*b**3 - b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -2. Suppose 20 = -5*m + 2*x + 3*x, -2*m - 2*x + u = 0. Which is the nearest to m? (a) -5 (b) -3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from egdfeggcfdekfddc. Give prob of picking 1 g and 1 f.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128*n = 15935651 + 1841885. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 - 4*u**2 - 4. Calculate the remainder when o(-5) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 220*q + 181. What are the prime factors of u(24)?\nAnswer: 43, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2210 + -2208. Solve 0 = -c*j + j + 3 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -966, -1934, -2916, -3918, -4946, -6006, -7104, -8246?\nAnswer: -9438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1539 and 18639?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 826442 to the nearest integer?\nAnswer: 909","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of (4686\/36 + 8)\/(1\/42)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45 - 2*p + 26 - 7 - 7 - 16.\nAnswer: -2*p + 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -51781, -45055, -38329?\n\"Answer: 6726*g - 58507","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 56 = -28. Suppose d = 17 - w. Suppose d*u - 36 = u. Is 6 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1, 3, 7, 13, 21, 31?\n\"Answer: v**2 - v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-6519331.\nAnswer: 6519331","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 3*s + 27 - 1, 2*b - 2 = 5*s. Let c(p) = -19*p**3 + 3*p**2 + 4*p + 1. Is c(b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 j when two letters picked without replacement from {r: 18, j: 2}.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of 3*v**4\/4 + 552*v. Let m(d) = -5*d + 6. What is m(n(l))?\nAnswer: -45*l**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 33 and 44.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.03 (b) -5 (c) 4 (d) -2\/199 (e) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from fyrwrrwfr.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 45. Suppose 5*k - 3*k - z = 0. Suppose 3*m = 29 + 4. Calculate the greatest common factor of m and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1805?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -2\/17515?\nAnswer: -2\/17515","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of -m**5\/12 - m**3\/3 + 71*m**2. Let h(b) = 9*b**2 + 3. Determine -3*h(c) - 5*r(c).\nAnswer: -2*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 45 and 8118.\nAnswer: 40590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -30623.56 and 32?\nAnswer: -979953.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**2 + 5*v**2 - 4*v**2)*(3*v**2 - 5*v**2 + 0*v**2) - 2*v**4 - 1 + 1 + 15*v**2 + 8*v**4 - 2*v**3 + 16*v**4 - 29*v**4 - v.\nAnswer: -9*v**4 - 2*v**3 + 15*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 116 - 60. Let f = c + 9. Let y = -72 + f. What is the second biggest value in -1, 1, y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-10) - 8\/(-20). What is the tens digit of (-648)\/(-60) + p\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 54*p**3 - 1 + 38*p**4 - 36*p**4 - 43*p**3 - 4*p to l + a*p**4 + w*p**2 + f*p**3 + v*p and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 4*k**4 + 14004*k**3 - 28056*k**2 - 112096*k = 0?\nAnswer: -3503, -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.191 + 10.109. Let l = t - 10. Which is the closest to 0.1? (a) l (b) -1 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*i - 157*i - 3*g + 7*g = -84*i - 40, 62 = i - 11*g - 85 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9904991 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 157*u - 43*u - 37*u - 41*u - 33*u.\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 + 2 = 27*y. Let u(n) = -7*n**2 + 20*n - 1. Let f(m) = -m**2 - m. Calculate y*u(x) - 5*f(x).\nAnswer: -2*x**2 + 25*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7196461 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 2*x - 4 = 0, t = 4*x - 5*x + 4. Solve -2*o = -10 + t for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.4 (b) 0 (c) 2\/15 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 + 16. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a meter in centimeters?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/11, 3, 610 in descending order.\nAnswer: 610, 3, -6\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 12:32 AM?\nAnswer: 6:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in sixteen fifteenths of a millennium?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of -296*s**3 + 515*s**2\/2 - 2*s - 1633. Differentiate g(r) wrt r.\nAnswer: -1776","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -15.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 23\/8 of a decade?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 o when two letters picked without replacement from ollllkkklkkkkkko.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 225520957?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8704372\/469 - (-3)\/(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (5 + sqrt(2))*5)**2.\nAnswer: 260*sqrt(2) + 726","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 6)*(-5*n**2 + 4*n**2 - 3*n**2)*(5*n - 3*n - 3*n).\nAnswer: -16*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, -47, -143, -297, -521?\nAnswer: -827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21 and 84?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1140\/(-1995) - (-18)\/7\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of 10*g - 2*g**2 - 2 - 4\/3*g**3. Let o(v) = -3*v**2 - 3*v + 7. Suppose 12 = 16*u - 100. What is u*o(f) - 5*a(f)?\nAnswer: -f**2 - f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 76 = -72 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 4*k - 4 = 3*t, -k = 2*t - 1. Suppose 3*f - 3 = t, 13*f - 1 = 2*z + 8*f. What is the greatest common divisor of z and 64?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -132 (b) -2.684 (c) 1\/9 (d) -2\/7 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8319 - 8459. Is m at least -149?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3\/4 - 1157*q**2\/4 - 84384*q - 414720.\nAnswer: -(q + 5)*(q + 576)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*v - 15 + 55 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 8 = -t + 7*j, -2*t + 2*j = -8. Solve 2*k - 5*p = 29, 0 = 2*k - t*k - 2*p for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-2) + 15\/(-54). What is the biggest value in 2\/5, b, -1\/4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -162.103 - -162. Let y = -16.052 - -16. Let k = t - y. What is k rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/6*(-357)\/255?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.681179ml in litres?\nAnswer: 0.000681179","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, 5\/16, -4, -45, -9\/2 in ascending order.\nAnswer: -45, -9\/2, -4, -1, 5\/16, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 124 = -5*h. Suppose w - 90 = 5*x, -h = -3*x + 2*w - 92. Suppose 585 = -261*n + 222*n. Which is smaller: x or n?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23127.9059 less than -8?\nAnswer: 23119.9059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 + 4*c**2. Let p(b) be the third derivative of b**6\/120 - 7*b**5\/60 - 11*b**2. Give 7*a(s) + 4*p(s).\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 157645 to the power of 1\/3, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 20, 24, 28?\n\"Answer: 4*p + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 2.810563 centuries?\nAnswer: 28.10563","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5326414 is divided by 423?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of -1\/24*s**3 - s + 1\/48*s**4 + 0*s**2 - 1. Let q(b) be the first derivative of v(b). Factor q(i).\nAnswer: i*(i - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2392881, -2392890, -2392899, -2392908?\n\"Answer: -9*h - 2392872","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(5 + 2*(-3 + (1*sqrt(300))**2 - (sqrt(300) + -3 + (sqrt(300) - (-4 + sqrt(300))))))*-2.\nAnswer: -4776 + 160*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 3 + (-11 - (-8 - -7) - -556)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 19317587?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of -m**5\/60 - 246*m**2. Let f(r) = -169*r. Determine f(u(g)).\nAnswer: 169*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -29*v**2 - 1215*v - 62. Determine r(-42).\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -185 + 1667\/9. Factor 0 - v*p + 2\/9*p**2.\nAnswer: 2*p*(p - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187) - -4*sqrt(187)*-2)*-3)\/((sqrt(539)*2 + sqrt(539) + sqrt(539))*-3).\nAnswer: -sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2619*b**3*p*u**2 - 892*b**3*p*u + 65*b**2*p - 59*b**2*u**2 - 95*b*p*u**2 wrt b.\nAnswer: 15714*p*u**2 - 5352*p*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14 or 71\/5?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-1*(-1)\/(-8)). Let q be 1\/(m\/18*(-7)\/(-56)). Suppose -13 = 5*f - q. Solve 5*i - t = 6, 0 = 7*i - 2*i + 4*t - f for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - 1. Let o be (-30)\/(-12)*(2 - l). Suppose -s - 19 = -o*a, 27 = 5*a - 3*s - 0*s. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 4 - 3)*(-10*l + 9*l - 4*l).\nAnswer: -50*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -51 * 6913\nAnswer: -352563","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 9 = -4*w. Let g be (-6)\/w*15\/(-2). Let q(d) = d**2 + 4*d - 2. What is q(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.77 less than -1.31376?\nAnswer: -0.54376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 - 18*o**2 + 14*o + 38. Let s be h(-8). Let k = -318 - s. List the prime factors of k.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7 - -27a0b?\nAnswer: 27a14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 734, 584, 434, 284, 134, -16?\nAnswer: -166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19*h**3 - 2*h**2 + 41*h + 1?\nAnswer: -114*h - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 3 + 1)*(1 + 1 - 1) + 4 - 34 - 17 - 5 + 6 + 1)*(-2*y + y + 2*y + (0 - 4 + 3)*(2*y - 3*y - y))*(-3*y + 0*y + 4*y).\nAnswer: -129*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.16753339 to four dps.\nAnswer: -0.1675","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 307 + 349 = 22*m + 60*m. Which is the nearest to 0.3? (a) -0.07 (b) 1\/4 (c) m (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 8*v - 12. Let j be 1*9\/((-54)\/12). Let b(r) = -2*r + 1. Let o(m) = j*b(m) - t(m). Differentiate o(n) with respect to n.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 6*q**2 + 13*q - 12. Let z be u(12). Let g = z - 78. Let y be g\/(-225) + (-2)\/(-15). Sort y, 5, 3 in descending order.\nAnswer: 5, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*125\/80*7*14\/(-490).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9342099443 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5063 is divided by 355.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*h**5*p*t - 8*h**5 + 3*h**2*p*t - h*p*t + 2*p*t + 5*p wrt h?\nAnswer: 40*h**3*p*t - 160*h**3 + 6*p*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.8 (b) 4 (c) 8 (d) -0.1 (e) 4\/11 (f) 0 (g) -14\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, u: 2, t: 2}. Give prob of picking 1 u and 1 t.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmxzxmtmm. What is prob of picking 2 x?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 41908?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2000, 3977, 5936, 7871, 9776, 11645, 13472, 15251?\nAnswer: 16976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-4440)\/19950 + (-6)\/28 and -113\/114?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.64 + 0.66. Let t = -2.89 + a. Let n = t - 0.11. What is the nearest to n in 4, 0.5, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 63*x**2 + 429*x + 24. What is the thousands digit of m(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9370 divide 1307396100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5321571 from -647.\nAnswer: -5322218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1173*n = 1183*n - 1610. Is n >= 128?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 - 6*f**2 + 5*f - 9. Let l = -1 + -6. Let c be g(l). Let r(i) = -i + 1. Let m(p) = p. Let d(z) = -5*m(z) - 4*r(z). Determine d(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -13*q**2 + 7*q + 7. Let b(t) = 6*t**2 - 3*t - 3. Let o(j) = 7*b(j) + 3*f(j). Let k(c) = 3*c. Calculate o(k(z)).\nAnswer: 27*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8478 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**4 + 30*t**3 + 66*t**2 + 34*t = 0. Calculate t.\nAnswer: -1, 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 492 is divided by 481.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 3*a - 22 = -52, -5*m + 5*a = 45 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 19) + -1 + -34 + 80 + -45 + -8.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -168463076 and 0.06?\nAnswer: 168463076.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -4*b + 84, -2*w - 32 = -2*b + 3*w. What is the remainder when 7\/((b\/(-12))\/(-13)) is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence spp when three letters picked without replacement from {p: 3, s: 9}.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1\/4))**(-33)\/((n**(-3\/7)\/n*n*n)\/(n**(-1\/4)\/n)))\/(n\/((n\/(n\/(n*n*n**6\/n*n)))\/n)*n\/((n*n*(n*n\/(n**8\/n)*n)\/n*n)\/n*n))**(3\/8) assuming n is positive.\nAnswer: n**(423\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o - 6*o + 0*o - 4*o - 5 - 8*o + 9*o + (2*o - 2*o + o)*(0 + 3 + 0) + 2*o - 2*o + 2*o.\nAnswer: -5*o - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 2 l when four letters picked without replacement from {l: 17, u: 3}?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 240 = 4*q - 11632. Suppose -4*b + 4*s = -3876, -907 = -4*b + 5*s + q. Suppose -4*n - 3*t + 780 = 0, -5*n + b = -0*t + 5*t. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1405?\nAnswer: 5, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zpppppz. Give prob of picking 2 z.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - 1)\/((-2)\/(-6)). Let d be ((-8)\/(-6))\/(((-32)\/30)\/8). Let i be ((-2)\/d)\/(0 - 9\/(-5)). Sort j, i, 2\/3, 0 in descending order.\nAnswer: 2\/3, i, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 5*d**2 - 265*d + 260 = 0?\nAnswer: 1, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/28 of a week in hours?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**4 - 6*x**3 - x**3 + 3*x**4)*(-16 + 2 + 8)*(4 - 2 - 1).\nAnswer: -12*x**4 + 42*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 235436013 to the power of 1\/3, to the nearest integer?\nAnswer: 617","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 410*u. Let a(v) = -22*v. Give a(n(s)).\nAnswer: -9020*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 1, 2, 3\/44 in decreasing order.\nAnswer: 2, 1, 3\/44, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/9*(-9)\/18. Determine j so that -1\/3 + j - j**2 + q*j**3 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 460 and 1035?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 15*o**2 - o + 2. Let x be t(2). Suppose -4*u = 3*n + 41, 5*u = -2*n - 0*n - x. Let l be 11\/u - (-8)\/16. Sort -5, 5, l.\nAnswer: -5, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/138 and 137\/546?\nAnswer: 12558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -63 + 67. Suppose -j - 1 = i, l = -3*i + 1. Solve 3*d + d + 4 = j for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -61 + 68. Calculate the smallest common multiple of m and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22634.\nAnswer: 2, 11317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 4 = -0*r, -r + 6 = -2*i. Suppose -79*l + 347 + 93 = -113. Let b(a) = -a**3 - 4*a**2 + 4*a - 6. Let n be b(-5). Put 3, i, n, l in descending order.\nAnswer: l, 3, n, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/6 + 2*u\/3 - 7\/2.\nAnswer: (u - 3)*(u + 7)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, r: 3}. What is prob of sequence rgr?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/3 (b) 5 (c) -5 (d) -236\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6525*o**3*u**3*x**3 + 131*o**3*u**3*x**2 - 16*o**3*u**3 - 2*o**3*u*x**2 + 6811*o*u**3*x**3 - 2*u**3*x**2 + 3*u*x - 7*u wrt x?\nAnswer: 39150*o**3*u**3 + 40866*o*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.54, 5\/9, -2\/9, 3\/92, -1 in decreasing order.\nAnswer: 5\/9, 0.54, 3\/92, -2\/9, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of -26*k**3\/3 - k**2 + 8*k. List the prime factors of c(-2).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 788*x - 4885 = -23443 + 9443 - 40529 for x.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 15 = 2*z. Suppose 3*x + 8 = 4*q, 0*x + 2*q - 6 = 2*x. Put 0, z, x in ascending order.\nAnswer: x, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 0 (b) 0.3 (c) -2\/15 (d) -41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/38774688 and -23\/72.\nAnswer: 116324064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 69\/5 + -439\/30. Let n = y - -4\/3. What is the nearest to 0 in n, -3\/4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + m = 1296. Suppose p + 4*w = 156, -3*p - 2*w + m = -p. Suppose -3 = -n, 0 = -2*f - 2*n - 64 + p. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 q when three letters picked without replacement from {i: 4, r: 3, q: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-6) - (-67)\/3. Suppose d - 3*u = -13, 5*d = 3*d + 5*u - 21. Let j be -4 - (d + -2*47). Calculate the highest common divisor of i and j.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56911.\nAnswer: 56911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 65892569 to the power of 1\/3, to the nearest integer?\nAnswer: 404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + (2 - (14 + -7 + -4)) + -3?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11729 is divided by 20.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1181 + 1185. Let w = 0.42 - 0.32. Which is the closest to -11? (a) h (b) -2\/19 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 - z + 18. Let i be n(-5). Let y be 108\/(-21) + i\/(-14). Let a(q) = 4*q**2 + 9*q + 9. What is the units digit of a(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.3 - 0.2. Let i = -29 + 27.7. Let z = -1.2 - i. What is the closest to z in -3, h, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 296 - 308. Let j(i) = i**2 + 13*i - 4. Determine j(a).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 11956, 47612, 106972, 190042, 296828, 427336?\n\"Answer: u**3 + 11846*u**2 + 111*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 q when two letters picked without replacement from {u: 6, s: 2, q: 1, h: 2, n: 2, r: 4}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eth when three letters picked without replacement from {m: 2, e: 1, t: 2, h: 2, n: 8}.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - -3. Let t be 2 + 2\/p + -2. Let f = 0.1 - 0.3. What is the closest to t in -2, f, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 4*x = 2, 0*x + 3*x + 1 = -5*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = b - 0*l + 4, -5*b + 4 = -3*l. Suppose h = 3 + b. Solve -h*p = -p + 8 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(225) - (sqrt(225)*3 - sqrt(225)) - sqrt(225))*-2 - -3*sqrt(225)*5)\/(2*-1*(sqrt(80)*-2 - sqrt(80) - sqrt(80))))**2.\nAnswer: 16245\/1024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*a = 338 + 299. Suppose 2*j + 5*h - 6 = 2*h, -h + 12 = 4*j. Put a, 0, j in descending order.\nAnswer: j, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 4 = -40*t + 38*t, -2*v = -3*t + 6 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 410.137 and 24.32?\nAnswer: 385.817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 2\/5, -3, -7, -6, -30\/7 in descending order.\nAnswer: 0.5, 2\/5, -3, -30\/7, -6, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-65)\/10)\/(((-19)\/(3990\/(-147)))\/(-7)).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ozo when three letters picked without replacement from zzzfzzoooom?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.22 and -0.193.\nAnswer: -0.04246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*x - 15 - 53 + 2 = 45 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2*q**2. Let n(u) = -25 + 11 + 14 + 5*u. Calculate n(f(j)).\nAnswer: -10*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1849642631 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 - 25*k**2 + 8. What is f(25)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 108.10390467 to the nearest ten.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26.05 - -25.76. Round k to 0 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 g, and 1 u when three letters picked without replacement from {b: 1, c: 4, g: 1, a: 1, q: 3, u: 2}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 7:30 AM?\nAnswer: 11:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -724 - -723.7. Which is the closest to l? (a) 3 (b) -1 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.8576 - 66.1924. What is k rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 305 = 4*f - 8*f, -2*f + 10 = 0. Let r = w - 63. Calculate the remainder when 6 is divided by r.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/21))**(-45)*(a\/(a*a\/((a*a\/a**(-12\/7)*a*a)\/a)))**(-1\/94) assuming a is positive.\nAnswer: a**(1397\/329)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(245) - ((2*sqrt(245))**2 + 0)) + sqrt(245)).\nAnswer: -42*sqrt(5) + 2940","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3450.6*0.21.\nAnswer: -724.626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*y + 1254*u - 1249*u + 84, 4*y = 2*u + 24 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -148*i**2 + 26730*i + 10498.\nAnswer: -2*(i - 181)*(74*i + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/(-16) + 57\/(-30)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 231 = -6*d + d, 4*x = 2*d + 70. Let r = -113 - d. Let w = 106 + r. What is the remainder when w is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23839 is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -22? (a) 2 (b) 0.058 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7357133043 a multiple of 1431?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) -2 (b) -2\/43 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/(-27) + 1\/3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*k = -15*k - 125 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72 = 5017*r - 5053*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 13*u**3 - 7*u - 7. Let b(c) be the second derivative of -c**5\/5 + c**3\/3 + c**2 - 46*c. Give -21*b(p) - 6*n(p).\nAnswer: 6*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -211 - 60*b**3 + 16*b**3 - 1108*b**2 + 2212*b - 6108*b - 688 + 227 = 0.\nAnswer: -21, -4, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/4046 and (56\/(-32))\/7 - (543\/44)\/(-3)?\nAnswer: 44506","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 2:05 PM?\nAnswer: 1:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/115)\/(18\/12)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 58806 and 253858.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 10. Let z(h) = h**2 - 7*h - 3. Let l be z(8). Let b = t - l. Let n(x) = x**2 - 4*x + 6. What is n(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 6, d: 1, r: 7}. What is prob of picking 2 r and 1 d?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 16 = -2*w - 3*n, -3*n - 12 = 0. Suppose u = -w*m + 7, -5*u = -2*m - 2*m - 83. Solve -u = 5*r - 3*i, 3*r + i + 4 = -5 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 - 5*d**2 + 5*d - 3. Let x be o(-6). Let s(j) = -2*j + 0*j - j**2 - 3*j - x. What is s(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*u**2 - 17462142*u + 17462142*u - 2 + 2.\nAnswer: -29*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 586.43 + 10.57. Let p = s - 597.2. Sort p, 2\/13, 2\/9, -5 in ascending order.\nAnswer: -5, p, 2\/13, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27366 divided by -1\nAnswer: 27366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from etocmtocoo. Give prob of picking 1 o and 1 e.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4829867 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 5:15 PM?\nAnswer: 8:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-14)\/(-3))\/((-2)\/(-69)). Suppose 16 = -z + f. Is 27\/(-18) + z\/2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 + 21*s - 88. Suppose 3*a = 158 - 116. Let z be w(a). Let x be 3\/(1 + 1\/2). Solve -3*k - x - z = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*o + 119*o - 55*o - 3004 = -1171 for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19*f**2*x**2*y**2 + f**2*x**2 + f**2*x*y + 436*f**2*x + 4*x**2*y**3 + 4*y**3 wrt x.\nAnswer: 38*f**2*y**2 + 2*f**2 + 8*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 5*n = 3 - 1, -3*b + 4*n + 34 = 0. What is the lowest common multiple of b and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*u + 5*u + 3*u + (-3 + 1 + 3)*(-3 + 3 - 2*u) + 3*u + 3*u - 5*u to k + q*u and give q.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 252290 or 251922?\nAnswer: 251922","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 + (-8 + 2)\/3. Suppose 3*k - 137 = g, -96 = -5*k + 3*k + 3*g. Let l be (8\/10)\/((-6)\/k). Is l > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1256 is divided by 219.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -24*y - 292. Calculate x(-15).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {s: 3, a: 3, d: 1, r: 1, j: 2, p: 1}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168*v - 2*c + 14 = 170*v, 5*v = -11*c + 53 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 + 5 - 9*m**2 + 15 + 7.\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5936442, 11872894, 17809346, 23745798, 29682250?\nAnswer: 35618702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + 13428772?\nAnswer: 13428769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 240\/510*(-23)\/460.\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((23 + -33)\/(-1 + 2))\/(-2). Solve 0 = -4*b, -y*u + 25 = -b + 6*b for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -419*b - 463*b = 53*b - 4675 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*y**3 - 15*y**3 - 32*y**2 - 16*y - 51 + 2*y**5 + 51 + 8*y**4 + 2*y**5 = 0. Calculate y.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3078 - -3066. Which is the closest to o? (a) -4 (b) 1\/3 (c) 0.3 (d) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 408084071.\nAnswer: 19, 21478109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19508566?\nAnswer: 2, 7, 11, 18097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**4 + 2620*o**3 + 25825*o**2 + 64250*o.\nAnswer: 5*o*(o + 5)**2*(o + 514)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 13, 5, 2\/13, 3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21242250 (base 6) to base 2.\nAnswer: 10011001010001010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 528625, 1056710, 1584795, 2112880, 2640965, 3169050?\n\"Answer: 528085*s + 540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1104\/264 + (-2)\/11. Suppose -2*g + 6 + b = 0. Solve -5*r - 5 = -g*i, i - 3*r - 7 = r for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 2:41 PM?\nAnswer: 2:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 104\/14 + -13 + 6?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-49)\/(-35)*(-260)\/(-286).\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/7 in -1\/7, 18, 2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5572 (base 8) in base 11?\nAnswer: -2231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 0*m + m = -22, -m = -3*k + 58. Suppose -k - 2 = -5*w. Factor 2*n**2 - 9*n**w - 5*n**2 + 6*n**3 - 15*n**3 - 3*n**5.\nAnswer: -3*n**2*(n + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -6. Let j(y) be the second derivative of -1\/12*y**4 + 0*y**5 + 0 + z*y**3 - 1\/15*y**6 - y + 0*y**2. Find the third derivative of j(l) wrt l.\nAnswer: -48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -970*v**3 - 122*v**2 + 2 wrt v?\nAnswer: -5820","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 432*w**2 + 2*w + 2. Let t be m(2). Let k = t + -309. Suppose 58*g - 63*g = -k. List the prime factors of g.\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-45*i**2 - 86*i**2 - 162*i**2)*(-i**2 + 1 - 4*i + 4*i).\nAnswer: 293*i**4 - 293*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 185560273 and 13071?\nAnswer: 4357","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110 + 114 = z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, -40, -135, -270, -445?\nAnswer: -660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/(sqrt(6)*5) - (1*sqrt(45)\/sqrt(9) + sqrt(5)) - (sqrt(5) + ((sqrt(90)\/sqrt(3))\/sqrt(6) - sqrt(5))**2 - (sqrt(245) + -4 + sqrt(245))).\nAnswer: -4 + 56*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f - 8. Suppose 3*n + 3*x = 0, 0 = 3*n - 2*n - x. What is q(n)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0 and 400889488.\nAnswer: 400889488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 - 32*r**2 - 4*r - 119. What is the remainder when 215 is divided by c(-32)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = -5*b - 20, -500166 + 500117 = 3*b - 5*j for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11 - -344024?\nAnswer: 344013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 52a34b59 + -2?\nAnswer: 52a34b57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 338*p - 135*p + 187*p - 3045 + 1485 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (1\/4 - (-105)\/180*-9).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95726636.\nAnswer: 2, 19, 31, 41, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 + 9*u - 6. What is the remainder when 191 is divided by i(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 3498689 = -5*v - 1029050, 4*u - 2469625 = -3*v. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 4 + 4)*(2*x + 2*x - 5*x) - 2 + 2*x + 2)*(-6*x + 2*x - x).\nAnswer: -15*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + 47?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -15377 - 928. Round b to the nearest one hundred.\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1403926?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1036 - 42153?\nAnswer: -41115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6872616*-68.\nAnswer: -467337888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 23, -3, 15, 48, 3 in ascending order.\nAnswer: -3, 1, 3, 15, 23, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -904*d. Let c(b) be the first derivative of b**2\/2 - 137. Determine c(l(r)).\nAnswer: -904*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of d**3\/6 - 19*d. Let j(o) = 13*o**2. Calculate j(b(p)).\nAnswer: 13*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 p when four letters picked without replacement from pgpgpapbxgpgbbpbhp.\nAnswer: 7\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/11)*h**(-5\/6)*(h**(1\/12))**(2\/5))**8 assuming h is positive.\nAnswer: h**(-432\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 (base 2) in base 11?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 26*h. Let r = 199501\/30 + -6650. Let l(a) be the third derivative of -17*a**2 + 0*a**4 + 0 + 0*a**3 + 0*a - r*a**5. Calculate l(d(t)).\nAnswer: -1352*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 26260?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 241051.5 rounded to the nearest one thousand?\nAnswer: 241000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1680)\/(100\/(-10)))\/(((-22)\/(-55))\/((-1)\/(-5))).\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2358 + 2358 - 755*l as q + s*l and give s.\nAnswer: -755","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70\/(2*(-4)\/6*113\/((-35256)\/(-234))).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.128 + -2.128. Let m = -13 - -11.8. Let q = 0.2 + m. Which is the closest to q? (a) s (b) 3 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-6))\/(48\/(-72))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 384*c + 386. What is t(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, -4, -32, -60, -82, -92, -84, -52?\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1621706605 to the power of 1\/3, to the nearest integer?\nAnswer: 1175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 25699995*r + 15. Let l = -81 - -84. Let s be i(l). What is s rounded to the nearest one million?\nAnswer: 77000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*b = -5*v + 23*b - 205, 0 = -10*v + 7*b - b - 390 for v.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**2 + 39052*r + 704232.\nAnswer: -4*(r - 9781)*(r + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 809920392?\nAnswer: 2, 3, 17, 953, 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10*17)\/((-905)\/3077*17)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-135)\/(-30)*42\/7?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((21*(-68)\/3808)\/((-3)\/8))\/(1\/(-33))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-57))\/(11 - 352\/33)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 548343180 a multiple of 1155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/3 - 6169*u + 10934456\/3.\nAnswer: (u - 17896)*(u - 611)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 g when two letters picked without replacement from bgggabgbgggggdad?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 11\/4 of a hour?\nAnswer: 9900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxwt when four letters picked without replacement from xtqxxqwxxkqxk?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - 24?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + -651601?\nAnswer: -651602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 218*m = 81*m + 27948. Solve 2*r = -208*j + m*j, -8 = 4*j for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 32 = 4*d, -1079*d + 3 = -1080*d for c.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u - u + u)*(1 + 3 - 3)*(-42912 + 3249 + 3155 + 17303).\nAnswer: -57615*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -147 (b) -0.2 (c) -1\/3 (d) -1\/18 (e) 872\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/(y\/y**34))\/((((y**(-1)\/y*y)\/y)\/y)\/y)*y**(4\/5)\/y*y**(-3\/11) assuming y is positive.\nAnswer: y**(2119\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 8 - 2*r - 9 + 1. Let d(b) = -b. Determine o(d(l)).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 52, -17, 0 in ascending order.\nAnswer: -17, 0, 5, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7404892?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 1)*(2*n + 0*n - 3*n) + 25*n + 345 - 345.\nAnswer: 23*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -11713 divided by 2?\nAnswer: -11713\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of f**4\/4 - f**3\/2 + 2*f**2. What is the units digit of a(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -5*t - 23. Let a = t - -13. Suppose -5 = 4*x + a, -2*h - 5*x = -41. Does 8 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6032 is divided by 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 85 - ((110 - 108 - (-1 - (1 - -4))) + 0).\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a multiple of 107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 + 46 = -5*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -7. Suppose -q = -c, b - 12 = 4*q - 2*q. Let r = b - 12. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 185397.4585 - 186435. Let p = -1004.55 - s. Let m = p + -33. What is m rounded to three decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 5*h. Let p(v) be the third derivative of -7*v**5\/30 - 152*v**2 - 5*v - 2. Give f(p(u)).\nAnswer: -70*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4803 is divided by 2390.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16164 - 9006. Suppose 0 = 4*d + 13558 + n. Let k = 2679 + d. What is k rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8980 rounded to the nearest 100?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -1\/4 (b) 16 (c) -3 (d) 26\/103\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 642?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-99)\/6 - 10.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nooooonoon. Give prob of picking 2 o.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -347438763 divided by -441\nAnswer: 787843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 388584.8 milligrams to kilograms.\nAnswer: 0.3885848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 1:53 AM?\nAnswer: 10:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 84 and 266.\nAnswer: 1596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22.74 - -15.74. Which is the smallest value? (a) j (b) -0.0295 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 176*r + 3897. Give q(-21).\nAnswer: 201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + 4*t + 6, 0 = -p - 5*t - 1 - 2. Let y be 5\/15 + 4\/p. Let i be (0*(-3)\/9)\/(-3). Which is greater: y or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 7*k + 1. Let z be 2 + -1 + 21\/(-24)*-8. Let l(x) = 142 - z*x - 74 - 68. Calculate l(s(a)).\nAnswer: -56*a - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2268158 is divided by 2268145.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 415*m - 414*m - 25*m**3 - 26*m**3 to the form k + x*m**3 + v*m**2 + l*m and give x.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -237, -1020, -2321, -4128, -6429, -9212, -12465, -16176?\n\"Answer: 2*r**3 - 271*r**2 + 16*r + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 8, 10?\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2.9 * -0.5\nAnswer: 1.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence el when two letters picked without replacement from {u: 1, x: 1, f: 1, l: 1, e: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 + 42*r**2 + 43*r + 85. What is v(-41)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2978 or 3002?\nAnswer: 3002","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 111*c**5 - 6*c**3 - 912*c + 2.\nAnswer: 2220*c**3 - 36*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7534103.\nAnswer: 7534103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/23))**(-10)*(m**(-1\/7))**(-2\/51) assuming m is positive.\nAnswer: m**(7186\/8211)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w**2 + 2*w - 40. Determine h(5).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-68)\/(-17) - (-1 - 244). Suppose 0 = 2*f - 2*c - 250, 13*c = 2*f + 12*c - u. Is 10 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 11\/2 - 7\/14. Suppose -4*j = w - 20, -3*j - 12 = -v*w - j. Find the third derivative of 6*l**2 + 3*l**4 - l**4 - 3*l**2 - 3*l**w wrt l.\nAnswer: -24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of s**2 + 0 + 0*s + 1\/24*s**4 + 0*s**3. Let d be k(2). Solve -d*t + 4*t + 10 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*v - 2*y - 20 = -24*v + 14, -7*y + 32*y = -12*y - 185 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19269030 divided by 30.\nAnswer: -642301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 5*g**3 - 11*g**2 - 57*g - 60. Let d be x(5). Suppose h - 4*h + 57 = 0. Let r be 4\/(-6)*(-3)\/2. Solve -d*c + r = -h for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 10 = 58. Which is smaller: -3 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(-20))\/((-4)\/(-10)). Let m = -1\/47 - 81\/611. Let b = -41\/36 + 5\/4. What is the nearest to -3 in m, r, b?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*p + 15*p - 12 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -5*f. Let v(n) = -n + 1. Let t be 28\/42*6*1\/2. Calculate t*v(m) - j(m).\nAnswer: 3*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -71 times -3083\nAnswer: 218893","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 11) to base 6\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/6 + 381345\/64944. Let r = l - 8\/451. Find the common denominator of -19\/20 and r.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 + 20. Let s = 7 - t. Suppose -3*h = a - 6 + s, -3*h = 0. Calculate the remainder when 17 is divided by a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681.6686 millilitres in litres?\nAnswer: 0.6816686","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 4, -1, 1379, 93.\nAnswer: -1, 4, 7, 93, 1379","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73 is divided by (37 - -1)*3\/6?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**4 + 2*s**4 - 6*s**4 + 4*s**4 - 4*s**4 + 3*s**4 + (3 - 6 + 1)*(-s**4 + 5*s**4 - 3*s**4).\nAnswer: -s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 4*z - 1. Let c(u) = u**2 + 2*u - 16. Let h be c(0). Let o = h - -15. Calculate m(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.302 + 455.698. Let w = -493.2 + a. What is w rounded to 0 decimal places?\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1340645 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 3*b + 13. What are the prime factors of r(15)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 2*v + 47 + 53 = 0, 25 = d + 5*v. Which is the nearest to d? (a) 1\/10 (b) 2\/7 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 10. Calculate the remainder when g is divided by -8*((-3)\/(-2))\/(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 526137227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*r + 3*r + 2*r)*(-3 + 2 + 2) + 71*r + 56*r + 47*r + (-12 + 12 + 11*r)*(5 - 3 + 3) + 2*r - 5*r + r to the form n + z*r and give z.\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6507 is divided by 217?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 551920 to the power of 1\/2, to the nearest integer?\nAnswer: 743","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 198946218 to the nearest integer?\nAnswer: 14105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 22\/(-44) + (0 - (-1)\/2). Suppose -447*g + 450*g - 6 = n. Solve -f - 3*x + 4 = -g*f, -1 = -f - 2*x for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 819, 828, 837?\nAnswer: 846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of -o**3\/3 + 3*o**2\/2 + o. Let g = 3 + 0. Determine s(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546589605 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (((-6018)\/(-850))\/(-59))\/(4\/(-5) + 1)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 70 = 2*z. Suppose 0*n + n = z. Suppose -5*u = -2*v + 25, -3*v + 33 = -u - 2*u. What is the highest common factor of v and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 = -13406060*q + 13406057*q - 5*v, 5*q - v = 31 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1682.27267 and 4.\nAnswer: 1686.27267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 587683 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = 4*x + 108, -41634*l + 82 = -3*x - 41630*l for x.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 601 = 16*x - 167. What is the remainder when x is divided by 22?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 0 - 15. Put y, -0.1, 4 in ascending order.\nAnswer: -0.1, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*q + 2436 + 19868 = 0. Calculate the remainder when q is divided by 93.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 + 18*k - 104. Calculate l(6).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/12 and ((47\/94)\/((-2)\/(-23)))\/(-396 - -2).\nAnswer: 4728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -69, -64, -57, -48?\n\"Answer: y**2 + 2*y - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 11*h**2 + 193*h - 162. Let k = -10 - -49. What is the remainder when y(-19) is divided by k?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 3*g**3 - 112*g**2 + 58*g**2 + 69*g**2 - 4*g**3 - 14. What is y(15)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -68652636*k**5 - 3*k**2 - 38*k + 27173 wrt k.\nAnswer: -4119158160*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -4694*a + 2341*a + 60 + 2344*a. Let q be p(6). Solve -w = -q*w - 5*j + 30, 5*j = -w + 22 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5.9 and 80.\nAnswer: -472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 131396?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r = -21*r + 180. Suppose 25 + 5 = -r*s. Let g(h) = -h**3 - 4*h**2 + h + 1. What is g(s)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -259*r = -115*r - 144. Calculate the greatest common factor of 59 and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12286 is divided by 1753?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29 - 29.017. Round f to two decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -4*d - 2, -4*d - 4*j + 0*j = 0. Calculate the remainder when 76\/14 - (-68)\/119 is divided by d.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a millimeter in nanometers?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 7 + 13. Let v(x) be the first derivative of 0*x + 4 + 0*x**3 - d*x**2 + 0*x**4 + 2\/5*x**5. Find the second derivative of v(z) wrt z.\nAnswer: 24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4641433, -9282868, -13924307, -18565750, -23207197, -27848648, -32490103?\n\"Answer: -2*c**2 - 4641429*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (26 - 3) + 0 + 1. Suppose 4*j - 4*d - z = -0*j, -2*d - 8 = 0. Let s(f) = -f**3 - 2*f**2 + 2*f + 6. What is the remainder when j is divided by s(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) - (sqrt(19)*1 + -1) - sqrt(114)\/(sqrt(18)\/sqrt(3)).\nAnswer: -sqrt(19) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**3 - u**3 - 3*u**4 + 3*u**4 + 4*u**4 - 6*u**4 + (1 + 2*u - 1)*(-u**3 - 3*u**3 + 5*u**3) - 4*u + 4*u - 2*u**4.\nAnswer: -2*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-7252)\/(-63)*84\/(-896) - (-6 - 0) and ((-2)\/(-10))\/(8\/530).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hxshh. What is prob of sequence xh?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -470.001665 - -470. What is y rounded to 4 dps?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -22*q - 2. Let z(c) = -2*c - 3 - 9*c + c - 12*c. Let a(d) = -3*u(d) + 2*z(d). Let y(l) = -l**2. Give y(a(b)).\nAnswer: -484*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 30.535 and -0.1.\nAnswer: -3.0535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*1*39 + 13 + -9. Let n = w + -39. Suppose -4*v + 95 = -r, n = v - r - 19. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 361 - 241. Suppose 480 = 4*j - q. Is 12 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -62*x - 1963 + 7667 for x.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 1119*y**2 + 31*y + 64. What are the prime factors of j(-2)?\nAnswer: 2, 2239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 39? (a) 0.21 (b) 1 (c) 0.19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1750, 3013, 4972, 7627, 10978, 15025?\nAnswer: 19768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -259 - 967 - k - 362.\nAnswer: -k - 1588","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -0*l + 40. Which is greater: 9 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1071119 and 289?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, u: 5}. Give prob of picking 2 e and 1 u.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -6*b**2. Let a(s) = -s. Let t(d) = -5*d. Let m(h) = 6*a(h) - t(h). Determine r(m(z)).\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 4*z - 4*i + 24, 0 = -5*z - 2*i + 26. Let g be (44\/6)\/(2\/6). Let r = g + -16. Solve -z*a = -a + r for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = 3*r + 6, x + 22 = 5*r + 4 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.8 - -12.2. Let u = -4 + w. Let f = u + -8. Put f, -3\/4, -5 in decreasing order.\nAnswer: f, -3\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*c + 659 - 675 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-28)\/245)\/((-1)\/25))\/((-246)\/(-287))?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3682.7244 rounded to 0 decimal places?\nAnswer: -3683","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14138 - 14135.4998. Let w = 2.5 - y. What is w rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 + -0.1. Let w = z + 0. Let j = -1375\/679 + 141\/97. Which is the third biggest value? (a) w (b) -1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -5 - (-45 + -9).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 130477969 to the power of 1\/2, to the nearest integer?\nAnswer: 11423","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3144 + 10?\nAnswer: -3134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -8304 divided by 48\nAnswer: -173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 10) in base 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -29 - 62 + 7*s + 4*s + 28. Let f be i(6). Calculate the greatest common divisor of 21 and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -8*u**2. Let x(j) = 3151607*j**2. Give a(x(i)).\nAnswer: -79461013459592*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7977082 + 7977082 + 8*f**3.\nAnswer: 8*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2 - 21054*b.\nAnswer: -b*(b + 21054)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xnxxznxxxx. Give prob of sequence nzn.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z**3 - 4*z**3 + 3*z**3 - 2*z**4 - 3*z**2 - 1 to the form g*z**2 + k + u*z**3 + h*z**4 + w*z and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - 1)\/((6\/3)\/6). Factor -1\/3*a**4 + 0 + a**2 - 2\/3*a + 0*a**l.\nAnswer: -a*(a - 1)**2*(a + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142779 + 7263902?\nAnswer: 7406681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9735692 is divided by 68.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 + 12*p - 5. What is the lowest common multiple of -1*4\/(-4 - -2) and s(9)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16243 is divided by 2132.\nAnswer: 1319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + 33?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 3*v + 6 + 3 = 0, 5*x + 8 = 2*v. Let i(l) be the first derivative of 2*l**3\/3 + 3*l**2\/2 + 2*l - 78. Calculate i(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0 and 0.070668.\nAnswer: 0.070668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**18*u*u**(2\/13))\/(u**(-2))**(1\/4) assuming u is positive.\nAnswer: u**(511\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(78) + sqrt(78))*6)\/sqrt(6).\nAnswer: 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 75*o = 76*o - 165, -3*o = -15. Let c = 5 + -3. What is the remainder when 24 is divided by d\/(-8)*(3 - c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 divided by -3?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of -c**3 - c. Let s(z) = z**2 - z - 1. Let j(q) = -4*q**2 + 5*q + 5. Let r(w) = -2*j(w) - 10*s(w). Determine r(f(n)).\nAnswer: -72*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -3*s**2 + 14*s - 5. Let c(p) = p**2 - p + 1. Let d = -2437 - -2436. What is d*z(y) - 5*c(y)?\nAnswer: -2*y**2 - 9*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -949cb - 110?\nAnswer: -94b0b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*m + 3*s - 35, 0 = 21*m - 18*m + s + 7 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 3*b + 2*m - 138, 4 = 4*m. Let s = -26 + 29. Suppose j - 8 = -3, -s*f - 13 = -5*j. What is the smallest common multiple of b and f?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -2*s. Let x = -68 - -69. Which is the closest to -2\/7? (a) x (b) s (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 97 + 11 + -47 - 8.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1688*x**5 - 6786*x - 4*x**2 + 3383*x + 3376*x + 2*x**2 wrt x?\nAnswer: -101280*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 19, 28825.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of 1\/3*d**3 + 3\/2*d**2 + 2*d + 1. Determine v(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -3 - 145\/(-45) - (-842)\/18.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g - 2*g + g)*(13*g - 43*g - 12*g).\nAnswer: -84*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -355 + 355 - 946*y**2 - 356*y**2.\nAnswer: -1302*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 0.032, -5\/2, -0.1, 2 in ascending order.\nAnswer: -5\/2, -0.1, 0.032, 2\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 458 is divided by 458.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2c73 (base 14) to base 7.\nAnswer: 32103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*m + 12*m + 440 = 20*m for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 + 4*s**2 + 5*s. Suppose 21 = t - 0. Suppose 2 = -x + 5*m + t, -m = 4*x - 13. What is the least common multiple of h(4) and x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 4*b = 38, -4*w + 2*b - 62 = -7*w. Let n(l) = 137 + w*l + 160 - 313. What is the units digit of n(10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = 5*z - 3. Put -4, z, -2 in decreasing order.\nAnswer: -2, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -49 - 25. Let g = -55.9 - o. Let n = g + -18.0999847. Round n to 6 dps.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26987?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -130 - 122. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 7, l: 2, f: 5}. What is prob of sequence iiil?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 7536\nAnswer: 1\/3768","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/3*-5 + 5. What is the second biggest value in m, 2, 0.6, -3?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of -i**6\/540 - 7*i**5\/54 - 32*i**4\/27 - 124*i**3\/27 - 139*i**2 + i. Factor t(v).\nAnswer: -2*(v + 2)**2*(v + 31)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1988816 and 344.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1309 - -12018. What are the prime factors of w?\nAnswer: 13327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -v**4 + 5275458*v**3 - 42203613*v**2 + 68580856*v - 31652700 = 0.\nAnswer: 1, 6, 5275450","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -2\/3 (b) 2\/99 (c) 0 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 32*w**2 + 0*w**3 + 15101*w**4 + 5*w**3 - 15098*w**4 wrt w.\nAnswer: 72*w + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -3258 and 30 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1 and -6535543.\nAnswer: -6535543.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -4. Let x(j) = -2*j**3 + 4*j**2 + 5. Let q(o) = o**2 + 1. Determine v*x(s) + 4*q(s).\nAnswer: 2*s**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of -3\/20*p**5 - 6*p**2 + 0 + 0*p - 3\/8*p**4 + 0*p**3. What is the second derivative of z(t) wrt t?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1132*h + 268*h + 2416*h = 44837 + 31483 for h.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -8*l**3 - l - 1. Let w be k(-1). Let h = 183 + -180. Suppose w*q = 11*q + h. Put 0, q, -5 in decreasing order.\nAnswer: 0, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 32.\nAnswer: -3, 3, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d + 103. Let z be t(21). Let u = z + -66. What is the remainder when u is divided by -9*(0 - -1)*-1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (712 + 886 + 1036 - 625)*(-5 + 6 + 3)*(f + 2*f**3 - f).\nAnswer: 16072*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 1217888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -251 + 252. Which is the nearest to -0.1? (a) 2\/25 (b) 4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s + 29. Suppose -6*p - p = 133. Let h be z(p). Solve -2*u - 3*u = -h for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -102 - -203. Let x = 102 - k. Which is smaller: x or 1\/121?\nAnswer: 1\/121","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -1. Let p(r) = r + 3. Let t(q) = -2*m(q) - p(q). Let n(d) = d**2 - d - 1. Give n(o) - t(o).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a century in months?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2*z - 2)*(-z - 7*z + 4*z) + (0 + 1 + 0)*(0*z**2 - z**2 - z**2) in the form p*z + v*z**2 + y and give v.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 300*c + 1824 = 87*c - 1371 for c.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 40 - 9. Let a = 5 - 0. Suppose -a*q = -2*q - 48. Calculate the remainder when f is divided by q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 538*-6291.\nAnswer: -3384558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-20)\/12)\/((-2)\/(-3) - 1). Put -3, h, 4, -7 in descending order.\nAnswer: h, 4, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y = -40 - 20. Solve 4*o = y*o - 10 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - -1 - 0 - (-2 + 0 + 8 + 10)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(2\/11)*i**(-5\/2)*i)\/(i**(1\/5)*i\/i**(-9)))**32 assuming i is positive.\nAnswer: i**(-20272\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24576\/72)\/32*3\/(-10)?\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/3)\/((-3)\/(-36)). Let v be (-12)\/(-7) - 6\/(-21). Suppose -v*l = k*t - 56, 4*l - 76 = 2*t - 7*t. Is 12 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 7, -75 in descending order.\nAnswer: 7, 1, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2534\/(-49)*3976\/(-16)?\nAnswer: 71, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 0 - 8*f - 4 + 3. Give k(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = -13*l + 18 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 12 and 0.091.\nAnswer: 1.092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, k: 3, b: 9, m: 5}. Give prob of picking 1 b and 2 k.\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 + 4*m + 2. Let u be y(-4). Is -6*26\/(-12)*u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a**2 - 2*a**2 - 4*a**4 + 174*a**4 - 601*a**4 - 1005*a**4 + (0 + 0 + a**3)*(5*a - 4*a - 3*a) in the form f*a**2 + i + b*a**3 + z*a + x*a**4 and give x.\nAnswer: -1438","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 7915, 2 in increasing order.\nAnswer: -5, 2, 7915","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-105)\/10)\/((-3)\/36*3). Suppose 2*m - 262 = 4*j - 32, 235 = 2*m - 5*j. Calculate the highest common divisor of m and u.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 5*a**3 + 4*a**2 - 2*a - 14 - 8*a**2 - 4*a**3. Calculate the least common multiple of x(5) and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 171*n + 117*n - 366*n.\nAnswer: -78*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 - 33*x**2 + 59*x + 78. What is o(31)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 18 = 3*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 - 8*t + 2. Let a be o(-8). Let c(j) = -21 - 4*j + 5*j + 6*j + 13*j**a - 11*j**2. What is the units digit of c(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 535334 - 1405?\nAnswer: 533525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of q**2\/2 - 5*q - 3. Suppose 2*s - 84 = 4*s. Let b be (-180)\/s + (-2)\/7. Give i(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 101 - 129. Is o at most as big as -26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 + 0*p + 2*p - 2*p. Let q(u) be the first derivative of 0*u - 2\/3*u**3 + 0*u**2 + 2. What is t(q(g))?\nAnswer: -4*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18378?\nAnswer: 2, 3, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 238266 and 4026.\nAnswer: 2620926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = g - 8, q + q = -2*g + 8 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(45) - (sqrt(45) + sqrt(45)*2)**2 - sqrt(45) - sqrt(45)) + (sqrt(1125) + 0)**2 + -3 + -2*sqrt(135)\/sqrt(3).\nAnswer: -1308 - 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 88 and 4807.\nAnswer: 38456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3029432 is divided by 45?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 206869 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -3*b**2 + 4*b + 9. Let u be i(9). Let m = u - -993\/5. What is the second biggest value in -2\/11, 0.4, m?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3909, 7848, 11787, 15726, 19665?\nAnswer: 23604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 61477659?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 738*g**2 + 651. Let t(d) = 19*d + 49. Let x be t(-4). Let j(i) = -105*i**2 - 93. Let h(c) = x*j(c) - 4*u(c). Find the first derivative of h(v) wrt v.\nAnswer: -234*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10 or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 6*x + 14. Let l(i) = -7675421*i. What is d(l(k))?\nAnswer: -46052526*k + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**6*k\/(k*k\/(k**(-1\/2)*k)*k))\/((k*k**(-1\/7)\/k*k)\/(k*k**(2\/7)*k))*(k**(-1\/4)\/(k\/(k\/(k\/(k**6*k))*k)*k))\/(k\/k**(1\/2))**(-39) assuming k is positive.\nAnswer: k**(873\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 6.88393*-22\nAnswer: -151.44646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -127 + 131. What is the fourth biggest value in -0.5, g, 1, -1\/9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 51649\/96148810 + -1\/49715. What is the biggest value in 2\/5, u, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 164577\/140*8\/(-9). Let h = m - -1046. Solve 0 - 4\/15*i - 2\/5*i**4 - 14\/15*i**2 - h*i**3 = 0 for i.\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.472 - -64.528. Put -1\/3, 2\/7, r in decreasing order.\nAnswer: r, 2\/7, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 PM and 1:38 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6870 - -6870.1. What is the third smallest value in 0.5, n, -0.04, -4, 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*c**4 + 40*c**3 + 35*c**2 = 0. Calculate c.\nAnswer: -7, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 4*u**2 - 2251211072*u + 316746955668461824 = 0.\nAnswer: 281401384","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1211 + 1121?\nAnswer: 10102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*p**4 - 15*p**4 + 11*p**4 + (14*p - 3*p**3 - 14*p)*((1 + 1 - 1)*(p + 0*p + p) + (0 + 2 + 1)*(-4*p + p + 5*p)).\nAnswer: -19*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b**3 - 4*b**2 + 25*b + 48. Calculate o(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(12\/(-30))*-1 - 10?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - h**2 + 2. Give k(3).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4134 = -59*x - 28*x + 165*x for x.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of 581*v**5\/60 + v**4\/12 - 13*v**3\/2 + 309*v**2 + 1. Find the second derivative of l(d) wrt d.\nAnswer: 1162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 589*h**3 - 359*h**3 - 229*h**3.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*o - 4*a + 143 - 170, -4*o = -2*a + 14 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21830074 a multiple of 412?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -490 or 3\/17?\nAnswer: -490","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 + 17*b - 264. Let t be k(10). Solve 0 = 56*w - 59*w + t for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p. Let j(t) = t. Let s(m) = -4*m. Let z = 0 + -2. Let f(v) = -v - 19. Let a be f(-12). Let c(r) = a*j(r) + z*s(r). Give c(u(b)).\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**3\/8 - 2686827*w**2\/8 - 601574519757*w\/8 + 5414388312987\/8.\nAnswer: -3*(w - 9)*(w + 447809)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -110 and 1848.\nAnswer: -203280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -4. Let d = 3.7 + -0.7. Which is the nearest to x? (a) d (b) -1\/8 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 AM and 8:33 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**2 + 2*u - 2*u)*(42*u**2 - u + 1 + 43*u**2 - 83*u**2) - 21*u - 3*u**4 + 21*u.\nAnswer: -5*u**4 + u**3 - u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18216824*c**3 + 14*c**2 - 221517*c wrt c?\nAnswer: -109300944","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 0.03, 0.4, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 4*y + 30. Let l(j) = -11*j - 89. Suppose 9563 = -34*q + 8985. Give q*f(g) - 6*l(g).\nAnswer: -2*g + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 - (11 + -1 + 48) - -41.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6494)\/(-2292))\/((-1)\/6).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10000010011100 (base 2) to base 5.\nAnswer: -231343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 + 6*s - 4. Suppose 3*z - 3 = 2*z. Suppose 7 = z*i - 29. Suppose f + 2*f - k = i, 4*f + k - 9 = 0. Determine c(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(11) + 3 + -1 + sqrt(11) + sqrt(11))**2*1.\nAnswer: 60*sqrt(11) + 515","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yryiyyi. Give prob of picking 2 y and 1 r.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10201012 + 210211010?\nAnswer: 200002221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 AM and 4:49 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 33? (a) -1 (b) -0.4 (c) 15.473 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 5, r: 15}. Give prob of sequence ccrr.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of 4*o**5\/15 - o**4 + 5*o**3 - 12*o**2. Let p(l) be the first derivative of i(l). What is the first derivative of p(h) wrt h?\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296665 to the power of 1\/2, to the nearest integer?\nAnswer: 545","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22 - 7. Let c(p) be the second derivative of -p**5\/20 + 3*p**4\/4 - 5*p**3\/6 - 7*p**2\/2 - 4*p. Calculate the remainder when c(7) is divided by h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 736 and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/5))**(-24)*d**(1\/4)*d\/d**(5\/4) assuming d is positive.\nAnswer: d**(-48\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 15268327 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 9147759 to the power of 1\/3, to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1523400 rounded to the nearest ten thousand?\nAnswer: -1520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - 1\/2)*-2. Suppose -4*v + 4*i = -28, -g*v = -4*i + 2*i - 17. Calculate the highest common factor of 9 and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*(2 - 9\/6) + 1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ubtt when four letters picked without replacement from bubtqbotbu.\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o + o + 3*o - 9*o - 10*o.\nAnswer: -12*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 705261\/7 > 100752?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-48)\/(-462))\/(220\/5775)\nAnswer: 30\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 18460 (base 9) to base 5\nAnswer: 402041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 521*v + 1522*v + 12 - 2. Is y(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lqvqb. What is prob of picking 2 q?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4059, 8102, 12117, 16104, 20063, 23994?\nAnswer: 27897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 234782 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(13) - ((sqrt(117)\/sqrt(9) - sqrt(13))**2 - sqrt(13))*3 - (sqrt(156)\/sqrt(12)*-6 - sqrt(13))).\nAnswer: -55*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (16 + -12 + 6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1503 + -1344. Calculate the remainder when b is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 5*r**2 + 4*r - 4. Let n(i) = i**2 + i + 3. Let x be n(-3). Let v(t) = -11*t**2 - 9*t + 9. Let f(k) = x*g(k) + 4*v(k). Factor f(j).\nAnswer: j**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -165 - -236. Let p = g - 49. What is the lowest common multiple of 10 and p?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 0) + (1 - 3) + 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of -1 + 16\/3*g**3 + 0*g - 1\/30*g**5 + 0*g**4 + 47*g**2. Factor h(m).\nAnswer: -2*(m - 4)*(m + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2132?\nAnswer: 2, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + v + 4 = 0. Let t = 7 + v. Let p be (5\/2)\/(1\/8). Solve -t*h - h = -p for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -708 + 576 = 12*v for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4556*b = 4552*b - 40 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 2*t + 106, 2*t - 28 = 4*x - 3*x. What is the remainder when 51 is divided by -2*(-1)\/(-3)*507\/x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccc when three letters picked without replacement from mmmcmmcccccccccccccc?\nAnswer: 91\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a minute in seconds?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*f + 600 = -26*f. Calculate the smallest common multiple of f and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27992030 a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 74751?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 495825354 to the power of 1\/2, to the nearest integer?\nAnswer: 22267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**7*w)\/(w**22\/w) assuming w is positive.\nAnswer: w**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10553 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11206736 divided by -5?\nAnswer: -11206736\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*i - 297*i + 12*i + 3780 = 0 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5, n: 3, l: 3}. Give prob of sequence mmlm.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 + 9*x**2 + 11*x - 4. Let k be v(10). Let u = k + 0. Put -5, u, 1 in descending order.\nAnswer: u, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 226726?\nAnswer: 2, 113363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -239*a - 35983 + 28335 for a.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k**3 - 36*k**2 + k - 7. Let o be y(18). Solve -o + 15 = g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from greegrergpgegrerer. What is prob of sequence re?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 12*x**2. Let n(p) = -4*p**2 - 6. Let v(y) = 9*y**2 + 13. Let w(t) = 13*n(t) + 6*v(t). Give w(c(u)).\nAnswer: 288*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m - 1. Suppose 0*k + 4*k = -o + 34, 2*k - 20 = -2*o. Suppose -6 = -k*n - 30. Give y(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of w**5\/20 - 2*w**2 + 26. Let g(t) be the third derivative of -8*t**5\/15 - 15*t**2. What is d(g(b))?\nAnswer: 3072*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 507736924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2 = 2*n + 4*m, 14 = -5*n + 4*m. Let r = 5 + n. Suppose r*j = 3 + 3. Is j a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 4 - 6*d - 4)*(-112*d - 1981 + 1981)*(-d**2 - d**2 + 4*d**2) in the form x*d + t*d**3 + f + i*d**4 + c*d**2 and give i.\nAnswer: 1344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 151925.\nAnswer: 5, 59, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/2 + 69385*w + 138768.\nAnswer: (w + 2)*(w + 138768)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 2*c = -108. Let s = -3538 - -3516. Let b = c + s. Put 2, 4, b, -5 in ascending order.\nAnswer: -5, 2, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110 + 40*m + 42*m - 6*m + 22*m.\nAnswer: 98*m - 110","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, w: 4, b: 1, k: 9, p: 3}. Give prob of picking 1 w, 1 c, and 2 p.\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.3 + 82.7. Let k = -56.5 + c. Let w = k - 27. Put w, -2, -1 in ascending order.\nAnswer: -2, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43866, 86961, 129286, 170835, 211602, 251581?\nAnswer: 290766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 22*1*3\/6. Let c = 2416 + -2097. Calculate the greatest common divisor of w and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 544.9 rounded to the nearest ten?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24 + 1. Let n be 10\/t - 3\/(-5). Are 1 and n nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 - 5*j**2 + 9*j + 6. Let t be d(-6). Let p(q) = -q**3 - 14*q**2 - 13*q + 1. Let l be p(t). Let a = l - -186. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**18\/a**(3\/4))**(-23) assuming a is positive.\nAnswer: a**(-1587\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 39.22 + 1195.78. Is 2 >= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2786578 + -0.4.\nAnswer: 2786577.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 41 - 40. Let t = 4 + -6. Let j(u) = u. Let p(d) = d + 1. Calculate l*p(c) + t*j(c).\nAnswer: -c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.2 + 8.2. Let u = -1.85366 + -1.14634. Let r be 2\/6*(-3)\/2. Which is the closest to -2\/9? (a) u (b) r (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5038 + -0.09.\nAnswer: 5037.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 15) to base 16\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 - 2*p**2 - 6*p - 6. Let k be x(4). Suppose -k*n + 1 = -n. Let q be (-3)\/(-7)*10\/(-15). What is the nearest to q in -1\/6, n, 0.3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 138 (base 10) in base 12?\nAnswer: b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 3434724?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 8) to base 11\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 - 2*w**2 - w + 1. Let p be h(-2). Suppose -4*a + 6 = -p*a. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(252) + 2*sqrt(42)\/sqrt(6).\nAnswer: -4 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 3 b when four letters picked without replacement from {g: 4, b: 15}.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6889252?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 5*l = -0*l + 39940, -2*l + 31970 = -4*k. Let a = -96041\/12 - k. Calculate the common denominator of a and 67\/21.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.01766 - 89.01647. Let w = i - -87. Round w to 4 decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + p - 22 = -2*q, 2*q = -4*p + 16. Suppose -3*r = y - 2*y + 6, 5*r = q*y - 45. What is the greatest common factor of y and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 23*l - 93. Let g be m(4). Let w be (g - -1)\/((7 - 2)\/5). Let r(a) = -a**2 - 7*a - 7. Let j be r(-5). Solve j = -3*z - w for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3112 + -3091. Solve -9*q = -84 + h for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/10 + 24\/(-10). Let r(x) = -6*x + 4. Let l(o) = 11*o - 9. Let g(n) = f*l(n) - 5*r(n). Let j(k) = -k**3 - 5. Let p be j(0). Determine g(p).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = -13*r + 12. Suppose -r*o - f + 42 = 18, -o + 7 = -2*f. Solve -4*v = -5*v + o for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 74032 and 3248.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -84, -330, -2\/3, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xiicxixiitxxixiixxi. Give prob of picking 2 x, 1 i, and 1 c.\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 5*p - 10, -2*x + p = 12 - 2. Let o = 44280 - 44284. Put 21, o, 4, x in increasing order.\nAnswer: x, o, 4, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -5*n**2 + n + 3. Let l(r) = -44*r**2 + 10*r + 26. Let y(u) = -52*a(u) + 6*l(u). Find m such that y(m) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16117579 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/(99\/27) - 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/13 + (-100)\/26. Let s = z - 6. Let c be (10\/(-2))\/(s\/12). Solve 0 = -2*j - c, 2*j - 4*j - 15 = 3*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 796 is divided by 69.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 457575165 + 5?\nAnswer: 457575172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 235.049229us to days.\nAnswer: 0.0000000027204771875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 112322, 4, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -26*k**3 + 42*k**2. Let f(n) = 13*n**3 - 22*n**2. Calculate -11*f(b) - 6*j(b).\nAnswer: 13*b**3 - 10*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2193274237 to the power of 1\/3, to the nearest integer?\nAnswer: 1299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 - s + 18. Let j be c(0). What is the highest common divisor of 126 and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1210)\/(-60) + 2\/(-6). Let l = t + -39\/2. Which is the third biggest value? (a) -3 (b) 0.4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13186940 rounded to the nearest one hundred thousand?\nAnswer: -13200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 71.10883kg?\nAnswer: 71108830000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrfsfrsrgsy. Give prob of sequence ff.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1237822272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 - 6*j**2 + 9*j + 10. Let w be z(-7). Let g be (-10)\/w*(-6)\/(-3). Suppose -o = -2*l - 18, 5*o - g*l + 18 = 93. Does 6 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = -5*j - 11, -15*j + 11*j + 3*p = 18 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -127 + 139. Suppose 0 = -22*w + 19*w + j. Solve 0 = -2*n - w*n - 24 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 137 + -137. Let o(b) = 2*b**2 - 1. Let y be o(1). Let k be (y\/51)\/((-5)\/(-10)). Which is bigger: k or h?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1091 + 3024. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -987 != -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and (-3)\/(-6) - (-33)\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 + 3*f**2 + f - 4. Let m be t(2). Suppose -218 = -m*l + 2*c + 150, -5*c = 0. What are the prime factors of l?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -376137619*m**4 + 59621208*m.\nAnswer: -4513651428*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -635, -524, -373, -182, 49, 320?\n\"Answer: 20*t**2 + 51*t - 706","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -376*q + 381*q = 10. What is the third derivative of 2*w - 716*w**q + 1450*w**2 - 7*w**3 - 721*w**2 wrt w?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -s - 2*q + 26, -5*s - q + 31 = 0. Suppose -3*x + s = -0*x. Suppose -4*g - 164 = -4*m, 4*m + 7*g - x*g - 182 = 0. List the prime factors of m.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 2*y + 1113 = 0, 5*b - 2*y - 2091 = 3522. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 728576?\nAnswer: 2, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -170, -114, -56, 4?\n\"Answer: t**2 + 53*t - 224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6906 + 6926. What is the biggest value in -4\/5, 30, u, -0.3?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = c - 11, 2*c + 5*j + 5 = -3*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*w + 1. Let d be (6\/w)\/(2 - 0). Let u(s) = -s**3 + 3*s**2 + 2*s + 2. Calculate the remainder when u(d) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s + 3*s + 0*s + 0 + 0 + s + (-s + 2*s - 2*s)*(1 + 4 - 3) - 2*s + s + 0*s - 236*s - 17 + 17.\nAnswer: -237*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**3 - 5*b**3 + 7*b**3.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2 and 81.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 89.6 + -0.6. Let p = t + -89.07. Which is the nearest to 0.3? (a) 0.5 (b) -1 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 1. Let l(k) = k**3 + 8*k**2 - k - d*k - 9 - 2*k**3 + 0*k**3. What is the tens digit of l(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 27*w**2 - 3*w + 1. Calculate the remainder when o(2) is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 354389 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 6*c - 2*b = -14, c - 20 = 5*b. Suppose c*d - 8 = d. Is 2 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2659419707 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, w: 2, b: 1}. Give prob of sequence bs.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1866\/(-1244)*(1 - 3\/1). Solve k*y = 5*s + 6, -2 = 4*s - 0*s - y for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 AM and 6:28 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26248516, -26248510, -26248500, -26248486, -26248468, -26248446?\nAnswer: -26248420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -5*h - 5*u - 2, -1 = -4*h - u. Let w(n) be the first derivative of -2\/3*n**3 + h*n + 3\/2*n**2 - 3. What is the second derivative of w(b) wrt b?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6413?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2103 - 301531?\nAnswer: -255424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/32 and 119\/20.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -860294349082.\nAnswer: -860294349078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 60246 divided by 6?\nAnswer: 10041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(-5)\/140*-7 + -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 635 + -632. Factor -1\/2*c**2 - c + 1\/2*c**4 + c**y + 0.\nAnswer: c*(c - 1)*(c + 1)*(c + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 + 7*u - 3. Let g be p(5). Let s(b) = -2 + 223*b + 6 - 224*b. Let l(q) = q - 3. Determine g*l(m) + 5*s(m).\nAnswer: 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 90496 (base 15) to base 11\nAnswer: 292111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, -24, -6, -14, -4.\nAnswer: -24, -14, -6, -4, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 41b - 27d?\nAnswer: 17c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 3*r**3 + 2*r**2 - 2*r - 2. Let u(h) = h**3 - h - 1. Suppose -3 = 4*a + 1. Let q(w) = a*v(w) + 2*u(w). Find the third derivative of q(f) wrt f.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - -7 - (-3)\/(-6).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 289.9694 + -290. Let g = -0.03060806 - h. What is g rounded to 6 decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4166164795 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (0 - -1 - (10 - 14)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 14233 + 0?\nAnswer: 14233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-1*(-1*sqrt(7) + -5))**2 - (sqrt(1008) - (sqrt(1008) - (1 + sqrt(1008)))*-3 - sqrt(1008))*-6)*-6.\nAnswer: -60*sqrt(7) - 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 82561375?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 10609, 17561, 24513?\n\"Answer: 6952*h + 3657","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/50881376 and -81\/14537536?\nAnswer: 101762752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 504 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 10220\/(-8760) + (741\/666)\/1\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115.1275544 rounded to 0 decimal places?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.10971 to 2 dps.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 1\/8 (b) 2\/13 (c) -0.4 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -736 + 1842. Let q be 2\/15 - s\/(-30). Solve 0 = -4*k - 4*p, q = 5*k - 3*p - 3 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -768*n + 72192. Give k(94).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26 + 30. Let r(y) = -3*y - 1 + t*y + 0. Suppose 2*b - 1 = 3*h, -2*h = 2*h - 5*b - 1. Let x(g) = 2*g - 5. Give h*x(q) + 4*r(q).\nAnswer: 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -32 or -39?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 459718036.\nAnswer: 2, 139, 826831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 129372 to the power of 1\/3, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/7*(-1 + -1). Let d = -9.234 + 9.634. What is the closest to l in -1.1, 0, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + -4 + 220\/(-20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 716509\/387 + 4\/(-9)?\nAnswer: 3, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*d - 405*d - 1251 = -7037 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6443 - -13273\/2. Let t = j + -3545\/18. Calculate the common denominator of t and -22\/45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29424?\nAnswer: 2, 3, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 124, 123, 122?\n\"Answer: -y + 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/13 + ((-32)\/104)\/(-2). Solve 8*w - 3*w + 20 = c for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -196 (base 12) to base 13.\nAnswer: -16b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*u**3 + 141*u**2 - 993*u - 4329 = 0. What is u?\nAnswer: -3, 13, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 11*q + 24. Let u = 1019 + -1022. Give v(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*t + a = -14*t - 2, -5*t - 1 = 2*a for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2534136*u**2 - 2534136*u**2 + 53843*u**3.\nAnswer: 53843*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5557943, -11115897, -16673851, -22231805, -27789759, -33347713?\nAnswer: -38905667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14812177 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.094 times -287595.4?\nAnswer: -27033.9676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = y + 1. Suppose 0 = 5*t + 2 + y. Let u(n) = n**3 + n**2 + 2*n + 2. Give u(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-one quarters of a kilogram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 52383490?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1)\/(-8) + (-27727)\/(-136)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 k when two letters picked without replacement from jkqqskkkqssjqsq.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (0 - (-3 - 0)) + 2 - 9.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 644*x + 409*x - 152*x - 28412 = 8529 for x.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46541.026 + 0.0238.\nAnswer: 46541.0498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -21171885 divided by 17255?\nAnswer: -1227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/c**32*c\/(((c\/((((c\/(c*c**(-23)))\/c)\/c)\/c))\/c)\/c)*c assuming c is positive.\nAnswer: c**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -4*z + 1. Let y = -8 + 5. What is the tens digit of k(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -40 - -67. Suppose i = -2*c + 45. Solve 0 = -2*v - v + c for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 2 + 0 - 19 - (16 + 20 + -38)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.05 and 2058?\nAnswer: 102.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = 3*p + 6*w - 4*w, 3*p + 27*w - 185 = w for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1002000202121 (base 3) to base 11.\nAnswer: 360301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of f**6\/90 + f**5\/30 + f**3 - 4. Let r(t) be the third derivative of w(t). Find the second derivative of r(q) wrt q.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 9 + 7 = 0. Suppose 0 = 2*n - g*n + 9000000. What is n rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -2*(sqrt(9072) - (sqrt(9072) + -6*(-1 + sqrt(9072))) - (sqrt(9072) + 1)*-1))**2.\nAnswer: -5040*sqrt(7) + 1778137","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -3*r**2. Let k(q) be the second derivative of 55*q**4\/12 - 708*q. What is k(d(b))?\nAnswer: 495*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 612?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2077*r**5 - 2*r**4 + 27395*r**3 - 185313183*r**2 wrt r.\nAnswer: 124620*r**2 - 48*r + 164370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18b5b7 (base 14) to base 11.\nAnswer: 549568","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 650183, 1301940, 1953697, 2605454, 3257211?\nAnswer: 3908968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -4*y**3 + 20*y - 2. Let m(z) = z**2 + 2*z + 1. Let i(g) = -g**3 + 7*g**2 + 15*g + 6. Let u(n) = -i(n) + 7*m(n). Calculate -b(w) - 2*u(w).\nAnswer: 2*w**3 - 18*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 19030 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: 11284+33634539.964\nAnswer: 33645823.964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10233 is divided by 44.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -3\/4, 95, -3\/8, -1.1?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122*t = 115*t + 148330. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -29*z + 8. Let g be (9\/(-6))\/(3\/8). What are the prime factors of l(g)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/v**(-18)*v*v**(-4\/11))\/(v**(-20\/9)*v**(2\/9)) assuming v is positive.\nAnswer: v**(249\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2547 + -20293\/8. Calculate the common denominator of v and -83\/32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29 - 28.892. Let j = 9.092 + k. Let u = -9 + j. Which is smaller: -3 or u?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 7 (b) 1.3 (c) -0.053\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 200 - 103. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1132318774 to the power of 1\/2, to the nearest integer?\nAnswer: 33650","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 26*n = -28*n + 1262, c - 3*n = 655. Calculate the greatest common divisor of 325 and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 153 * -132.\nAnswer: -20196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/(-3)*3 - -1. Suppose -91 = 23*r + 1. Put 5, r, s in descending order.\nAnswer: s, 5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 784 = 1523 - 768 for n.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -149148053 - -287585.\nAnswer: -148860468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -66 less than 6.2654?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19834189 is divided by 200?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 + g. Suppose 3*o + 2*s - 9 = 0, 0*o - 5*s = -3*o - 12. Let q(a) = a. Let y(f) = o*q(f) + 6*v(f). What is the second derivative of y(x) wrt x?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*w**2 - 3*w**2 + 3*w**2)*(4 - 4 + 2*w) + 2 - 2*w**3 - 2 - 456*w**3 + 144642 - 144642 to a*w + d + f*w**3 + n*w**2 and give f.\nAnswer: -462","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(1\/7))**(-3\/11))**(-1\/11))**(-2\/113) assuming v is positive.\nAnswer: v**(-6\/95711)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 155474659 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of 2*q**3\/3 + 26*q. Let z(a) = -2*a - 3. Let j(c) = -3*c - 5. Let b(d) = -3*j(d) + 5*z(d). Calculate b(l(i)).\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 61475\/7578 - 1\/842. Let j = -261587\/5 - -52324. Calculate the common denominator of n and j.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of -m**6\/375 - 6*m**5\/125 + 131*m. Factor o(j).\nAnswer: -2*j**3*(j + 12)\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 - 11*g - 14. Let a be y(-10). Let n = 3 + a. Suppose 4*w = -11 + 3. Sort n, 3, w.\nAnswer: w, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - 0 - (10 + -8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -121 + -5565424?\nAnswer: -5565545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + -20 + 9 + -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 89, 335, 743, 1313?\n\"Answer: 81*w**2 + 3*w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*101166.818.\nAnswer: -202333.636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a micrometer in nanometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18774?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 170102227 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 17, 59, 129, 227, 353, 507, 689?\n\"Answer: 14*c**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23 - 23. Let q(g) = -9 - 2*g + i*g + 2*g - 2*g. Calculate q(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13\/5 in 5, -13, 0.09?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 705089 to the power of 1\/2, to the nearest integer?\nAnswer: 840","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/26 smaller than -24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(2\/33)*y**11 assuming y is positive.\nAnswer: y**(365\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/300587119 and -37\/55209879?\nAnswer: 2705284071","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 339980644 to the nearest integer?\nAnswer: 18439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from thttttttthtt?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -574*h + 571*h + 3*n + 9, h = -n + 1 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m - 1. Let z(v) = 5 - 7 - 7 - 5*v + 2. What is 6*q(a) - z(a)?\nAnswer: -a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 71282 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -266\/33 or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 866\/(-14722)*(-6)\/(-4)?\nAnswer: -3\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1294487171 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -84, -7\/68, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -3*h**3 - 2*h**2 + 5*h + 81. Give y(0).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3\/8 + 69*j**2\/8 + 431*j\/4 + 180.\nAnswer: -(j - 80)*(j + 2)*(j + 9)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yxxyxxxx. Give prob of sequence xy.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7274 is divided by 6836.\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*t, 4*b - 9*t + 12*t + 2 = 0. Solve 7*y = 22 - b for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of -t**4\/4 - 324*t**2. Let c(k) = 6*k. What is 4*c(x) + 6*d(x)?\nAnswer: -12*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -1\/4884 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v - 12. Suppose -15*x + 17 + 13 = 0. Let p(a) = -2. Determine x*z(j) - 11*p(j).\nAnswer: -2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together -15574735 and 1.\nAnswer: -15574734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10)\/(4 + -5) + -5. Is (-400403)\/(-145) - 2\/u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 485392?\nAnswer: 2, 23, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.9 minus -14600?\nAnswer: 14584.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -13 (b) -9 (c) 2\/9 (d) -0.1 (e) 11\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/1746691 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 880*z**2 - 2*z + 1. Let p(l) = 7*l - 21. Let u be p(3). Suppose u = -0*n + 10*n - 10. Is g(n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -132*(-188)\/57904*((-1)\/4)\/(3\/(-200)).\nAnswer: 50\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7004*p*x**4 + 7*p*x**3 - 60*p - 79*x**2 wrt x.\nAnswer: -168096*p*x + 42*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*i = 395 - 1147 - 1232 - 3710 for i.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 2*w - 410, -132*w - 226 = -133*w - 5*n. What is the remainder when w is divided by -2 + (17 + -1 - 0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/3)\/(30\/(-135))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - ((8 + 0 - 10) + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 1568*v. Let m(k) = -k. Calculate m(b(h)).\nAnswer: -1568*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -103815 greater than -104071?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (20\/(-18))\/5 - 1341\/(-5670). Let m(d) be the third derivative of 1\/8*d**4 + 3\/40*d**6 + j*d**7 + 0*d + 3\/20*d**5 + 0 - 6*d**2 + 0*d**3. Factor m(p).\nAnswer: 3*p*(p + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 2)*(11*r + 0*r + 2*r).\nAnswer: -26*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 3*y = -31, 2*y + 46 = -1908*f + 1912*f for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 4, 2, 0.12 in increasing order.\nAnswer: 0.12, 2, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -4, 5, 8.\nAnswer: -5, -4, -2, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 15197 (c) 1 (d) 27 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m = -3*m + 182. Calculate the lowest common multiple of 1 and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4643006 - 1160749233\/250. Let k = -354\/125 - z. What is the common denominator of k and -2 + (-1 - -5) + 206\/(-88)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 7324.\nAnswer: 3662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -80 + 86. Is s at least 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*v - 9*v + 292 = 199*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 684 and 7828.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 607177 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + sqrt(70)\/(sqrt(30)\/sqrt(3)))**2 - (sqrt(14)\/(sqrt(18) + sqrt(2)) - sqrt(7)).\nAnswer: 3*sqrt(7)\/4 + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, 10, 40, 82, 136, 202, 280?\nAnswer: 370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 457966076?\nAnswer: 2, 1031, 111049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*o**3 - 44*o**2 - 6*o + 23*o + 3 + 43*o**2 in the form w*o**3 + v*o**2 + b*o + j and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/2406 and 10\/28471.\nAnswer: 170826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbbtbbtbtbbtbbbbt. Give prob of sequence bbb.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -2282 equal to -2281?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4, -10, -34, -68?\n\"Answer: -5*q**2 + q + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*f**2 + 2*f**2 + f**2)*(72*f**2 - 18*f**2 + 0*f**2) + 15*f**4 - 23*f**4 - 32*f**4 to the form z + i*f**2 + a*f**4 + s*f**3 + w*f and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/610080 and 79\/109712720.\nAnswer: 658276320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -7 + (-757 - (7 - 12)). Let q = 787 + a. What is the least common multiple of q and 16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, -11, 0, 0.3?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/945 and 191\/51150.\nAnswer: 3222450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -481253546 divided by -1894699?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9993 + -8446. Which is smaller: n or 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 194 divide 155306?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = 10, 4*w - 4*w + 5*w = -4*n + 34 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-6))\/(10\/(-9)*615\/(-82)).\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7, 4.1, -115?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -21 in -2, 0.3, 2\/11, 2\/167, -3, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3400 - 288089026952?\nAnswer: -288089023552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6*(-8 + 5 - -1). Find u, given that 0*u**4 - 4 + 30*u + o - 9*u**4 - 30*u**3 + 1 = 0.\nAnswer: -3, -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12 and 0.85.\nAnswer: -10.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (166\/3)\/(2\/(-3)). Let p = -46 - s. Suppose 5*f - p = 38. Solve -8*j + f = -3*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -176*r**3 + 2 + 338*r**3 - 94*r - 1 - 191*r**3 as t*r**3 + f*r + a + b*r**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -147*266\/57*15498\/(-4) + -7. What is q rounded to the nearest 10000?\nAnswer: 2660000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1576470)\/(-24))\/7 - 2\/(-8). Suppose j + 11*j - y = 0. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 AM and 3:25 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 3*k = -k + 40, 3*o - 5*k = -10. Which is the fourth biggest value? (a) o (b) 18 (c) -4 (d) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-65)\/(-1*8\/(-4))*(-2424)\/(-1515).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7915.\nAnswer: 5, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14 * 9.\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 509 smaller than 520?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -202 - 154?\nAnswer: -356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4629 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 + 10*a + 9. Let c be t(-9). Suppose 3*r + 3*w - 141 = c, -24 = -4*w - 4. Calculate the highest common factor of r and 168.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(21\/2*(36 - 35)). Let z = -49.2 - -43. Let y = 1.2 + z. What is the smallest value in 4, y, x?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 81146227 and 67313?\nAnswer: 811","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 + 197\/14. Which is the closest to 1? (a) -2 (b) g (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2058573 (base 9) in base 16?\nAnswer: 10d0a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2709 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 677293?\nAnswer: 19, 43, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 314*h**2\/3 + 12434*h\/3 + 11492 = 0 for h.\nAnswer: -5746\/157, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -43, 1, -0.3, -2\/369, 3, -6, 5 in decreasing order.\nAnswer: 5, 3, 1, -2\/369, -0.3, -6, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 98 = 113 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1131231302 (base 4) to base 7\nAnswer: -3156056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (2 - 0) - (-12 + 25 - 11)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from myymmmmmymm. What is prob of picking 2 y and 1 m?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -73075*z**3 - 135039.\nAnswer: -219225*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 33 divided by 463\nAnswer: 33\/463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - (-19 + 3))*17\/34. What is the hundreds digit of q - (536 + -4)\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.994 + -0.006. Let g = -0.8 + -0.2. Which is the closest to g? (a) f (b) 3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14513267777 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -3*l**2 - 14*l + 71. Let c be i(-12). Suppose m - 3*a + 118 + 75 = 0, 5*a + 579 = -3*m. Are m and c unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*f + 60 = -53*f for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2035959 is divided by 4155?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of -7 + 5 + 756 + -7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -5, 18106, 4 in descending order.\nAnswer: 18106, 4, 3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -543, -597, -673, -759, -843, -913, -957?\nAnswer: -963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 3*g**4\/8 + 3*g**3\/2 - 21*g**2\/8 - 51*g\/4 - 9 = 0.\nAnswer: -4, -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - y = -150. Suppose -5*s = -5*p - y, 3*s - 2*p = 13 + 8. Is s a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -180, 70, -3 in increasing order.\nAnswer: -180, -3, 1, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7678729?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -80201 (base 9) to base 4\nAnswer: -30312223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 3*p + 0*p + 76 = 2*l, 42*l + 2*p = 44*l + 24 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 157 + 3. Calculate the greatest common divisor of s and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 15 = 1. Is 1\/c - (-652)\/16 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 - 2*v**2 - 2*v - 1. Let k be w(2). Suppose 2*y - 3*r - 20 = 0, 4*y + 13 = 5*y - 2*r. Sort -2\/5, k, y, -3 in decreasing order.\nAnswer: y, -2\/5, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -8. Suppose 3*s - 110 = -2*a, 5*a - 64 = -3*s + 40. Calculate the remainder when s is divided by 9 + -3*m\/(-12).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - -4. Let k = -12.00022 + a. Round k to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000724125 rounded to six dps?\nAnswer: -0.000072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -8*u**2 - 9*u + 9. Suppose 0*i + 4*i = 2*y + 4, 15 = 3*y + i. Let f(z) = -z**2 - z + 1. What is y*b(w) - 36*f(w)?\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -89 - -10.\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -6*v - 13. Let y(p) be the third derivative of -p**4\/6 + 5*p**3\/6 + 3*p**2. Let b(f) = 8*f - 10. Let x(h) = v*b(h) + 9*y(h). What is x(4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*b*h**4 + 11*b*h**3 - 4*b*h**2 + 11162*b*h - 294*b - 613*h**3 wrt h?\nAnswer: 144*b*h + 66*b - 3678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 21737*q - 195639. What is c(9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*s - 256030120 - 8*s + 256030120.\nAnswer: -21*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1267, 1, 5, -5, 2, -1 in increasing order.\nAnswer: -5, -1, 1, 2, 5, 1267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 5*m - 20. Let s = 0 + 4. Suppose -r - m = s*r. Put r, -2, 2 in increasing order.\nAnswer: r, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39858.\nAnswer: 2, 3, 7, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -144 + 146. Let u be k - 21\/(-11) - (-13)\/143. What is the fourth smallest value in -0.2, 1\/9, u, 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2022.27 + 2033. Let i = -3.17 - b. What is i rounded to zero dps?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2058)\/43218)\/(-1*(-123)\/(-42)).\nAnswer: 2\/123","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 - 5*v - 21. Let z be r(9). Let h be (2 + -4)*(-34)\/4. Let n = h - z. Solve 4*k = -n*m - 6, -3 = m - 3*k + k for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 265204 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.9161 - -0.7307. Let c = y - -23.1826. Let j = c - 17. Round j to 3 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 248540, 497025, 745510, 993995?\n\"Answer: 248485*y + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 - 4.2. Suppose -2*y = -2 - 0. Let p be (-24)\/45*(-3)\/(-2). What is the third smallest value in p, t, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 1872 = -658. Is n\/4 - (-2)\/4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/179595 and 44\/5.\nAnswer: 179595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6 - 3 - (-2 - -9). Let y(t) = -t**2 - 6*t - 3. Let x be y(-6). Let d be 0 + 7 + (l - x). Calculate the highest common factor of d and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*q - 18*q = -3*l - 57, 5*l = 25. Let g be 24\/(-1576)*12\/q. Which is smaller: g or 0.03?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from ikyiikj.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 + -20 - (8 - 5 - (0 + 0))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + -5. What is the nearest to y in 5, -1\/2, 0.2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 0.018 (b) 2.6 (c) 37.484\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, 5, 8.\nAnswer: 5, 8, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 219*f + 104. Let u(z) = z**2 - z - 103. Let s be u(-10). Is m(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -195.8 to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 20*c**3 + 143*c**2 + 27*c + 22. What is g(-7)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3351499?\nAnswer: 17, 197147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-3) + (-6)\/(-9). Suppose -m - 5*t = -r*m + 7, -14 = -4*m + t. Let x(a) = -1 + 3*a - a**3 + 0*a**m - 4*a - 3*a**2. Determine x(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -489\/172424 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/4 (b) -0.166 (c) 26 (d) 3 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57656860?\nAnswer: 2, 5, 17, 23, 73, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 + 2*k + 13. Let q(p) = -6*p**2 - 6*p + 9. Let d(v) = 5*v**2 + 5*v - 7. Let j(m) = 5*d(m) + 4*q(m). What is 2*j(b) - n(b)?\nAnswer: b**2 - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75013.2ml to litres.\nAnswer: 75.0132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 w when two letters picked without replacement from dnndqbdddnbnwwbdq.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of -1\/21*w**2 + 20 + 2\/63*w**3 + 0*w. Find r, given that z(r) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2583.35 and 0.\nAnswer: 2583.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-2\/9)*n\/(n*n*(n*n\/(n*n**(4\/11)))\/n*n)*(n\/((n\/n**(-1\/15))\/n))\/(n**(-34)*n) assuming n is positive.\nAnswer: n**(15877\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/9))**(-26\/9)\/(m**12\/(m*m\/m**(-13\/3)*m)) assuming m is positive.\nAnswer: m**(-326\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*z - 144. What are the prime factors of z?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 372, 750, 1150, 1584, 2064, 2602?\n\"Answer: 2*u**3 - u**2 + 367*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 59 in -3\/7, -6, 0.21, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5865 or -4186?\nAnswer: -5865","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 10 = -30. Let q be (-4)\/((h\/12)\/5). Is q at least -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12211422 + -21030?\nAnswer: -12233002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -17 and -0.01.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -2858 at most as big as -9596?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 49*b**4 + 910*b**3 + 3693*b**2 + 1892*b + 260 = 0.\nAnswer: -13, -5, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 u when three letters picked without replacement from gtgzzttzzugtzzuguz?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 9:35 AM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 888 or 881?\nAnswer: 888","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*g - 80 = 20*g - 72*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4245 + 4239. Let v be -2*-1*1\/10. Let i = -7 - -10. Which is the biggest value? (a) v (b) x (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 4*f = 0, -5*x + 25 - 57 = -f - 32 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + -4 - (17 + (5 - 1) - (76 - 82))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22 + -17. Suppose 3*m - 4*m - z*x - 10 = 0, 0 = 4*x - 16. Let j be 4\/(-10) + (-8)\/m. What is the biggest value in -1, -4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-51 - -19 - -32) + -5 + -23?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 63 and 3843.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 - 6*r**2 - 7*r - 7. Suppose 239*y + 14 = -c + 234*y, 4*c - 49 = y. What is the least common multiple of c and h(-5)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 2 = -2*r, 1869*r = 1860*r + 2*o - 35 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9726955.\nAnswer: 5, 7, 19, 14627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6\/5 of a kilogram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 + 7*d**2 - 6*d - 4. Let z be k(5). Let p(h) = -z*h + 12 - 3 + 44*h. Is p(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) 34 (b) -1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d**3 - 4 + 3293*d**2 + d**3 - 9*d - 3295*d**2 to n*d + p*d**3 + y + c*d**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-44 + 106 + -22)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 825.1852km?\nAnswer: 825185200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**9\/r)**35 assuming r is positive.\nAnswer: r**280","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3233 + 11?\nAnswer: -3222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 3*q. Let b(f) = -332 - 218 + 42 - 2*f - 427 - 1780. What is b(k(d))?\nAnswer: -6*d - 2715","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 53*h**2 - h - 3. Let q(b) = -17*b**2 + 1. Give 14*q(j) + 4*u(j).\nAnswer: -26*j**2 - 4*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 695533976?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 10 - 13*m + 0.\nAnswer: -13*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 646\/5 or -1?\nAnswer: 646\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 PM and 10:05 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 117 = -5*x, -70*i + 0*x - 89 = -73*i - 4*x for i.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -475183*1\nAnswer: -475183","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -10679199 divided by -3559733\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2822 - -3?\nAnswer: -2818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 14. Let i = -2079 + 2083. Solve 0 = 4*c - o - i for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-161 - -89) + 131 - 36.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = -f - 41, 0 = -z + 52*f - 51*f - 7 for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 449776 is divided by 1384?\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 688 (base 13) to base 2.\nAnswer: 10001100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 8934605 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36 and 258.\nAnswer: 1548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.7636219 times 15\nAnswer: -11.4543285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 550586991 to the power of 1\/3, to the nearest integer?\nAnswer: 820","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/(-36)*-6)\/(4\/(-18))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gwccojjcwccc. Give prob of picking 2 o and 2 c.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2206704 and 48.\nAnswer: 2206704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-2) - 1856\/(-926). Let s = -1858\/1389 + d. Which is smaller: 0 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 + 11*i**2 - 34*i + 97. Give n(8).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.03 + -1.27. Let u = p - -1.2. Sort 0.9, 2, u in descending order.\nAnswer: 2, 0.9, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of z**3\/6 + z**2\/2 + z. Let n = 67 + -71. Calculate r(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -43.569 + 0.069. Let t = a - -44. Let r(d) = d**3 - 6*d**2 - 7*d + 5. Let x be r(7). Sort x, -4, -1\/11, t in descending order.\nAnswer: x, t, -1\/11, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1035 (base 10) to base 5.\nAnswer: 13120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1911579, 1911576, 1911571, 1911564?\nAnswer: 1911555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 3*q**2. Let u(v) = -630*v**2 + 652*v**2 - 8 + 8. Calculate u(d(s)).\nAnswer: 198*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6403?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 h when two letters picked without replacement from {s: 2, x: 2, o: 1, h: 1, d: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 14*l**2 - 6*l. Let v be h(3). Let f = -102 + v. Solve 4*z = 5*u + 37, f*z = z - 3*u for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -25 + -33db3?\nAnswer: -33dd8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 22476666 (base 9) in base 12?\nAnswer: 37a5073","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2.19 (b) -0.38 (c) -7\/5 (d) 0.4 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3\/2 + 23*a**2\/2 + 16*a - 1152.\nAnswer: -(a - 16)**2*(a + 9)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 0.02 (b) -3\/7 (c) 0.13 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 217 - 112a?\nAnswer: -a13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 - f + 4 + (0 - f + 0)*(4 - 3 - 3) + (0 + 0 + 2*f)*(5 - 1 - 2).\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 153 and 4167.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aid when three letters picked without replacement from {a: 1, z: 2, i: 6, u: 4, d: 3}.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 3, 559.9, -4\/63?\nAnswer: -4\/63","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of 0*b**3 + 0*b**4 + 163\/20*b**5 + 78*b + 0 - 145\/2*b**2. Differentiate p(t) with respect to t.\nAnswer: 489*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -21\/2813966 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -6211, -6210, -6209, -6208?\n\"Answer: q - 6212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, 1\/172, -54, -0.048?\nAnswer: 1\/172","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - 9?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 163*n - 11606. What is b(71)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.404306 rounded to 1 decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 8 = 5*y. Let q = y + -7. Let x = q + 18. What is the greatest common factor of x and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a. Let d(z) = 1848*z. Give -d(w) - 1232*x(w).\nAnswer: -616*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = s + 2*s. Let b(d) = 7 + 9*d**2 - 12 + 3 - 2*d + 1. Let k be b(s). Solve 3*w = 4*g - k, -w + 2*g + 7 = -4*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-3)*(-23)\/(1265\/(-66))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-35)\/10 + 4 - (-6)\/4. Let a be 13\/(-7) + m + 0. Factor 1\/7*b**5 - 1\/7*b**2 - 1\/7*b**3 + a*b**4 + 0*b + 0.\nAnswer: b**2*(b - 1)*(b + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 782 + -753. Which is greater: 19 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 2*k = 6, -60 + 69 = -l + 3*k for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74423*j - 1020 = 74321*j for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 400112311 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25544 to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -90 - 81. Let t = 202 - g. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 + 9*h**2 + h + 2. Let x be 244\/28 - (-4)\/14. Is l(x) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 b, and 1 z when three letters picked without replacement from eeqeaezbqqzaeezbq.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -50, -2 in descending order.\nAnswer: 5, -2, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 40246?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(-63) + -4 - 31.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*f + 0 + 0 + (-2 + 0 + 0)*(-2*f + 2 - 2) + 0*f - 4*f + 3*f)*(-82*f**2 - 79*f**2 - 7*f**2) to c + u*f + i*f**2 + z*f**3 and give z.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*n = 4*n - 19600. Does 35 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 8*b**2 - 3. Let j(p) = 2*p**2 - 7*p - 1. Let x be j(5). Let q be (-1)\/((x\/4)\/7). Is 5 a factor of o(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xiiriciriirrx. Give prob of picking 1 x, 1 c, and 2 r.\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10292075*q**2 - 29*q**3 + 10292075*q**2.\nAnswer: -29*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + r**2 + 0*r**2 + 7*r)*(16*r + 54*r - 5*r).\nAnswer: 65*r**3 + 325*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 363170920?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10\/2 + 129\/(-27). Is 0.02 less than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 716, 1485, 2268, 3071, 3900?\nAnswer: 4761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 + 6*b**2 - 7*b - 5. Let w be a(-7). Let p(s) be the first derivative of -s**4\/4 - 2*s**3 - 2*s**2 + 4*s - 13517. Determine p(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1648229229?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -177*g + 1. Let x be q(1). Is x\/(-10) - 8\/(-20) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 2 = q - 0, 4*q - 3*s - 7 = 0. Let i be 18\/6 - (-4)\/q. What is the greatest common factor of 56 and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18 + 29. Let h = p - 19. Let x be (-6)\/(-4)*h\/6. Is 1 < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 0, -3\/2, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 417*c**3 + 1582*c**3 + 231*c**3.\nAnswer: 2230*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/13 - 14\/(-91). Suppose -t + 176 + 86 = v. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -6) + -1 + -2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 155\/20 + (-24)\/(-96) + (-2108)\/238.\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**3\/9 + 932152*q**2\/3 - 108613418888*q = 0. What is q?\nAnswer: 0, 699114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-96 + 9 - 30)*(5 - 5*d - 3 + 4*d).\nAnswer: 117*d - 234","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -146 - -149. Let c(f) be the second derivative of 0 - 3*f - 1\/6*f**4 - 1\/3*f**r + 0*f**2. Solve c(u) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11.8 + -12.3. Sort w, 0.9, 6 in decreasing order.\nAnswer: 6, 0.9, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11117.97m in millimeters?\nAnswer: 11117970","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00005356341076 rounded to seven decimal places?\nAnswer: 0.0000536","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*y - y + 7*y)*(9 + 10 - 6)*(4 + 1 - 9)*(-y**4 + y**4 + y**4).\nAnswer: -52*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1.17*-0.09\nAnswer: -0.1053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = -8*d + 4, 0 = d + 5*p - 11 + 39 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most -7733675?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10842, 21724, 32620, 43536, 54478, 65452, 76464?\nAnswer: 87520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 383529 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 215346545.\nAnswer: 5, 43069309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001010101 (base 2) in base 13?\nAnswer: -36c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, z: 11}. What is prob of picking 2 a and 1 z?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j**2 - 8*j**3 - j**3 + 220 - 4*j**2 + 7.\nAnswer: -9*j**3 + 227","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 2*s. Let l be 13 + (2 - 12) - -1*43. Suppose -l*x = 2*p - 43*x - 21, 4*x - 23 = -p. Put p, 2, s in increasing order.\nAnswer: s, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/50 of a second?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 108399*i**3*j**3 + 25*i**2*j**3 - 752*j**3 wrt i.\nAnswer: 650394*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17168 - -67814. Suppose 22385 = 7*a - k. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0 (b) 0.1 (c) -58 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 621.3159ug to nanograms.\nAnswer: 621315.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 263766648571 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -67660\/3 - -22554. Let v = -24 + 24. Let x = 0.2 - -0.8. What is the smallest value in x, v, -1\/2, q?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -54*f + 1. Let y(b) = b**3 + 8*b**2 + 19. What is the remainder when l(-1) is divided by y(-8)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 1 - (-11 + (17 - 9) + -14).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/4)\/((-9)\/(-108)). Is (y + 6\/2)\/(-1) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of 46 + 15\/2*l**2 + 10\/3*l**3 - 10*l - 15\/4*l**4. Factor d(p).\nAnswer: -5*(p - 1)*(p + 1)*(3*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.02 + -0.02. Let z(l) = l**2 + 5*l - 25. Let x be z(-8). Let u be (-2)\/(10\/25)*x. Which is the closest to -1? (a) -0.1 (b) u (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*h + 14 - 42 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 5 (b) -7 (c) -6 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -31 in 1\/2, 20, -273\/10, 3?\nAnswer: -273\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*i - 6 = 3*o, 355*o + 348*o = -i + 707*o - 38 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-13) + 1785\/455.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vrehvrerrfvvhqr. Give prob of sequence her.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/25 in 0.3, 4\/3, 3\/4, -60, 32?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 18160*v + 20328*v + 1)*(3*v - v - v)*(-3 + 5 - 1).\nAnswer: 2168*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 4*g - 6. Suppose -3*x = -2*x. Let h be z(x). Let w(n) = -n**2 - 8*n - 3. Calculate w(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -n + 4, 23 = -0*o - 5*o + 2*n for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eighteen sevenths of a week?\nAnswer: 25920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 - -6) + -4 - 6. Let r = o - -16. Does 9 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2475 divide 881864775?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2*b**2 - 2*b - 19. Let x be z(0). Let v = x + 23. Suppose 0*t = -t + 2*a + 65, -v*t - a = -278. What is t rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by 11177982\nAnswer: 7\/11177982","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 - 12*c**2 - 11*c + 4. Let l be n(-11). Let b = 1265\/7 - 181. Let q = -0.37 + -0.03. Put b, l, q in decreasing order.\nAnswer: l, b, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/21 of a week in minutes?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 5, 1\/26.\nAnswer: -0.5, 1\/26, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -24, -48, -72, -96?\n\"Answer: -24*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.19 - -9.81. Which is the nearest to r? (a) -2\/17 (b) -1 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15692, 23829, 37392, 56381, 80796?\nAnswer: 110637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t**(1\/4)\/t)**(-1\/32)\/(t**(-1\/2)\/(((t**(-2\/5)\/t)\/t)\/t)) assuming t is positive.\nAnswer: t**(-1881\/640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 46842773?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4045 + 1842 + 2203 + 127*s.\nAnswer: 127*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*a - 0*a. Solve 5*i + a = 2*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 232 and 99496100.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18.3 + 18. Let d = -2.4 + 1.7. Let q = d + y. Which is smaller: q or 3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34249?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3182 and 9.\nAnswer: 2.8638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1090363 minus 347893?\nAnswer: -1438256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.05? (a) 1\/3 (b) -0.4 (c) -3 (d) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8752 and 18716.\nAnswer: 40950608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 37191 equal to 36713?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 179, -5, 2\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 170.177 - 0.177. Let r = s - 169.99999781. Round r to 7 dps.\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -93, -216, -427, -732, -1137, -1648?\n\"Answer: -y**3 - 38*y**2 - 2*y - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 7*x**3 + 2*x**2 + 86*x + 363. Determine s(-6).\nAnswer: -1593","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 + 12*o**2 + 6*o + 1. Let c be k(-11). What is the greatest common factor of c and 84?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 758016 and 1232.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-4)\/6)\/(2\/(-555)) is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + 0*k - 2*k)*(0*k**3 - 3*k**3 + 6*k**3) + (-4*k + 4*k + k**2)*(0*k**2 - 2*k**2 + 3*k**2).\nAnswer: -2*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = -39*k + 37*k - 32, 34 = -2*k - 3*g for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31960?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -37*k + 15. Let y(f) be the third derivative of -f**5\/60 - 32*f**2 + 4. What is y(i(s))?\nAnswer: -1369*s**2 + 1110*s - 225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 4 = 9*c - 13*c, -5*c = -o - 16. Solve 3*m + 0*v + 2 = c*v, -10 = 3*m + 4*v for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Product of -0.04 and 883.\nAnswer: -35.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 749664 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 650 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 373\/91 - 20\/(-70). Let a be (1 - (-2026)\/(-130)) + -2. Let c = p + a. What is the common denominator of -50\/11 and c?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 = 67*b - 275. What is the greatest common divisor of b and 105?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2798 is divided by 927.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1367877876 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mumm when four letters picked without replacement from {m: 9, u: 9}?\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (1*sqrt(14)*-6)\/(sqrt(72)*3 - sqrt(2)))*4.\nAnswer: -24*sqrt(7)\/17 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of -c**4\/4 - c**3\/3 - 16*c - 8. Let d = -8 + 10. Suppose d*h = 4*l + 8, l - 2 = -h + 2*l. Determine o(h).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 - 7*v + 5. Let t be 4\/((-3)\/2 + 1). Let f be z(t). Let m(p) = p**3 + 3*p**2 - 2*p + 2. What is the least common multiple of 4 and m(f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 311356 + 2242?\nAnswer: 313631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = c - 3 - 6, -5*b - 67*c + 29 = -71*c for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) 6 (c) 2 (d) 0 (e) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, i: 4, a: 4, m: 10}. What is prob of picking 1 p, 1 a, and 2 m?\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 145 + -68.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-34)\/(-14) + 9\/(-21). Suppose -4*r = o*f - 766, -f + r = -4*f + 1139. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 40*z**2 - 231*z + 1. What is m(6)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 928551\/433 or 2145?\nAnswer: 2145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -434 + 436. What is the biggest value in 0.1, p, 0, -4\/9?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 AM and 3:13 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.08 + -26.08. Let q = 104 + -73. Let p = q + k. What is the smallest value in -3\/5, p, -4, 0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 343815 a multiple of 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 431 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*f**4 - 121*f**3 + 328*f**2?\nAnswer: 120*f - 726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2432)\/(-3))\/((-406)\/(-609)). What is the greatest common divisor of 228 and u?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h - 1. Let x(u) = -u**2 - 5*u + 2. Let r(b) = -3*v(b) - x(b). Find i, given that r(i) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9930303965 - -9930303842.99999933. Let b = k + 122. Round b to 7 dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 4 = -l + 3*l, -3*l + 6 = 3*x. Let q(j) = -j - 4 - 2*j - l. List the prime factors of q(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 29238.47 days?\nAnswer: 2526203808000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - v - 44 = -3*v, 3*v = 2*q - 38. Solve 0 = -132*z + 128*z + q for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -4586*q**2 - 124*q - 804. Let x be a(-42). Round x to the nearest one hundred thousand.\nAnswer: -8100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*y - 54 = -16 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nksufjskksnssn. What is prob of sequence kujk?\nAnswer: 1\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/740 and 29\/28165140?\nAnswer: 28165140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + 16 - (3 + -4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.404438152 and -0.5?\nAnswer: 0.202219076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 126 = 16*b for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 984 and 600.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1\/3, -1\/8, 8, -3?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002968 to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32\/(-18) + 8 + -6.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 + 9*c - 53. Does 30 divide o(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeeeeeeeeeeeeeeeg. What is prob of sequence ege?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*o - 35 + 35)*(-3 + 2 - 20)*(-1 + 0 - 3) to x + a*o and give a.\nAnswer: 336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 + 17*p**2 - 20*p - 28. Let o be d(-18). Suppose 4*h = -2*x + 434008, 0 = 3*x - x - o. What is h rounded to the nearest 10000?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -3, b + 0 = -4*p + 10. Let f(l) = -l**3 + 7*l**2 - 3*l - 7. List the prime factors of f(b).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 4*n - 4 = 0, 3*v = -4*n + 9 + 1. Let s = 1014 + -1007. What is a in -10*a**3 + 5*a**2 + 5*a**5 - a - 2*a**v - 5*a**4 + s*a**2 + 6*a - 5 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.18 + -0.78. What is the nearest to -5 in -0.5, -5, k?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -4*x**3 + 396*x**2 - 4200*x - 23392 = 0.\nAnswer: -4, 17, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 + -15. Let h(g) = 4*g**2 + 4*g - 7. What are the prime factors of h(s)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oov when three letters picked without replacement from vvvvovvvvvvvvoov.\nAnswer: 13\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 105\/(-245) - 4\/7. Let q be (4\/(-6) + r)*6\/(-2). Solve 2*m = -j + 1, -q*m + 3*j + 0 - 3 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as -2\/1499?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -69*q**2 + 5793*q + 6120 = 0.\nAnswer: -24\/23, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 15278412 divided by 14?\nAnswer: 7639206\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 2:20 AM?\nAnswer: 7:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 - w**2 - 2*w + 1. Calculate h(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21*t - t**2 + 3*t**2 - 65*t + 267*t - 97*t.\nAnswer: 2*t*(t + 42)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -232, -272, -300, -316, -320, -312, -292?\n\"Answer: 6*m**2 - 58*m - 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 28*f - 193. Let h be w(7). Solve -h + 48 = 9*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 0.0087235.\nAnswer: -0.0034894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4517 * -208\nAnswer: -939536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10.1 + 1.9. Let k = 16485 - 16472.9888. Let a = k - l. Round a to 3 dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 4*t - 4*t + 0*t - 4*t. Let d(m) = -2*m. Let k(a) = -10*d(a) + 6*y(a). Let z(x) = 3*x**2. Determine z(k(f)).\nAnswer: 48*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/5, -0.4, -3, 0.008?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.96? (a) 4 (b) -1 (c) 2.15 (d) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(1 - 3)*(-7 - (-5)\/(-10)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1054457 (base 9) in base 11?\nAnswer: -358444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)*-1 + -3 - (-4 + sqrt(108)*-2) - (-3 + sqrt(108) + -1 - sqrt(108))*-3) + -1.\nAnswer: -12 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -316*w + 1550. What is n(6)?\nAnswer: -346","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 272886236 to the nearest integer?\nAnswer: 16519","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 g when three letters picked without replacement from {e: 3, h: 2, g: 2, p: 5}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (10 + -10 - 1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -103\/45 - -26\/9. What is the closest to -1 in h, 1\/4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85825.16ng to tonnes.\nAnswer: 0.00000000008582516","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 179*s**2 + 21*s - 273*s**2 - 224*s**2 + 38. Let w be y(-17). Let g = 124779 - w. What is g rounded to the nearest ten thousand?\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of -714*c**5\/5 - 3669*c + 1223. Differentiate v(u) wrt u.\nAnswer: -2856*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(5\/7)\/((c\/(c**(1\/8)*c))\/c))\/(c**(-2\/5)*c*c**(1\/4)) assuming c is positive.\nAnswer: c**(277\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11936*u**2 - 9473 wrt u?\nAnswer: -23872*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 g when three letters picked without replacement from {f: 4, g: 2}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 422888?\nAnswer: 2, 52861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6916.\nAnswer: 2, 7, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1698\/33 + (-6)\/(-11). Find the third derivative of 41*f**5 - 985*f**2 + 72*f**5 + b + 987*f**2 wrt f.\nAnswer: 6780*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*p + 8*p = -295. Let s = p + -12. Let r = 112 - s. What is the highest common divisor of 13 and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11402328 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 928 is divided by 93.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i - 5*i = -3. Calculate the least common multiple of 1*i*(7 - 17) and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 + 24. Let d = -8 + f. Suppose -5*y - 45 = -5*p + 90, -4*y + 116 = d*p. Is p a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -61*a**3*b**3*g**3 + 7*a**3*b*g**3 + 2*a**2*g**3 + a**2*g**2 + 2*a*b**3*g**2 - 5341*b**3 - 2*g**3 wrt a.\nAnswer: -366*b**3*g**3 + 42*b*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 5*o - 30, -13 = -5*r - 4*o + 50. Solve 3*v - r = -0*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -78 divided by 20347?\nAnswer: -78\/20347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9\/15 + 904\/10. Suppose p - 14 = t. Suppose 3*l + 4*o - p = -o, -140 = -4*l - 4*o. List the prime factors of l.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v - 2. Let n be z(6). Suppose o = h + 66, 0*h + n*h - o + 264 = 0. Let w be 11\/h + 7\/(-66). Is w not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9699, -19403, -29107, -38811, -48515, -58219?\nAnswer: -67923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + -5d67?\nAnswer: -5d64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from rvttrctvrrr.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.02 + -0.06. Let i = 13.76 + -11.8. Let o = i - w. Which is smaller: o or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 5 = -3*s, -s = 3*n - 10. Suppose -162 = -a - n*a. Is 11 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*36\/27 + 0 + -2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -663912 divided by 18.\nAnswer: -36884","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**3*p**3\/p)\/((p\/p**(-3))\/(p**(5\/2)\/p)))**15 assuming p is positive.\nAnswer: p**(75\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (((sqrt(784) - sqrt(49) - sqrt(49))*-4)\/(sqrt(28)\/sqrt(4)*-1))**2.\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of j**7\/210 - j**4\/24 + 8*j**2. What is the second derivative of q(f) wrt f?\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2\/4535 - -154176\/31745. Let f be 978\/14*(-2)\/30. Let m = s + f. Which is the closest to -0.1? (a) m (b) -2 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 3*s**2 + 106215*s + 637187. Give o(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5786295.\nAnswer: 3, 5, 43, 8971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 - 5*b - 3. Let c be d(-5). Suppose 4*h = 12, -p - 4*h + 8 = -2. Put c, 3, p in descending order.\nAnswer: 3, p, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - d = -g + 45, 29 = 2*g - d. Suppose -220 + 64 = -4*x - 4*k, -2*x + 2*k = -62. Let f = x - g. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.245 to zero dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/60 of a century?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4 - 4 - (30\/(-3) - 7). Let i(d) = 8*d**2 - 9*d - 64. Let s(g) = 2*g**2 - 2*g - 16. What is b*s(f) - 2*i(f)?\nAnswer: 2*f**2 - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -5 + 3 + 5 + 2. Suppose -3*l = -5*b + 28, 100 = -5*l - b - 4*b. What is the second biggest value in -1, -2\/11, q, l?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -25*d**3 - 11*d**5 - 1081*d + 1081*d - 2*d**2 + 0*d**5 + d**5 - 2*d**5 + (2*d - 4*d + 0*d)*(-2*d**4 + 0*d**4 + 3*d**4).\nAnswer: -14*d**5 - 25*d**3 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -1 + 0 + -25 + 10 + -11 + 24.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 8044.15786 to the nearest 10.\nAnswer: 8040","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*f**3 - 56*f**2*p + 2745*f**2 - 669*f*p - 1029*f wrt f.\nAnswer: 42*f - 112*p + 5490","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*(i**(1\/3)*i)\/i*i*(i*i\/(i*(i\/(i*(i\/(i*i\/i**(-2\/23)))\/i*i*i)*i*i)\/i*i*i))\/i)**(1\/10))**(-4\/5))**(14\/3) assuming i is positive.\nAnswer: i**(1456\/5175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000600089 rounded to six dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from {p: 9, i: 9}?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -3 - 35. Let r = j - -39. What is the highest common divisor of 7 and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 44.1 * 1700.\nAnswer: 74970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(((-21)\/18)\/(-7)). Let k = 12 - c. Is k a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -41, 0.02?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 104.8839 to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, -3\/4, 450, 0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do -1662139 and -1662337 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 2*u = -21, 4*q + 6*u = 2*u + 72. Calculate the remainder when 56 is divided by q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8021572.4 + -0.044.\nAnswer: -8021572.444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15 + (0 - (-9)\/(-6))*-2 and 5?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 184?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 127 - -3?\nAnswer: 12a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 + 27 + 13 - 20 - 2*c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - k + 18, -v + 24 = k + 2*k. Let p = -10 + v. Put 4, 1, p in descending order.\nAnswer: p, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -314 - -1055321?\nAnswer: 1055003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bs when two letters picked without replacement from tsb.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*a = 119427 + 8086. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1037*g*p**2 + 5*p**2 + 204*p wrt g.\nAnswer: 1037*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*d + 56*d - 22*d - 7*d - 15*d.\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1651 is divided by 64.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - ((-4 - 1) + 1). Suppose -m = -2*d - 3. Calculate the remainder when 2 is divided by d.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23 - 13. Let x = 13 - p. Factor -5*w**3 + 2*w**4 + 4*w**x - 6*w**3 + 2*w**2 + 3*w**3.\nAnswer: 2*w**2*(w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 100 = -4*o - 5*u, o = -4*u + 39. Suppose -4*g = -2*q - 2*g + 34, 5 = -g. Let t = o - q. What are the prime factors of t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6211.042l to millilitres.\nAnswer: 6211042","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -1126*m - 26. Let p(i) = 375*i + 10. Calculate 3*c(f) + 8*p(f).\nAnswer: -378*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 120 = -5*b, 3*s = -13*b + 8*b + 155. Suppose b*h + 24 = 34*h. Solve -h*p + 3*p = 5*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0096444 to 5 dps.\nAnswer: 0.00964","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -948*y**2. Let a(v) = 8*v**2 + 1136. Calculate a(h(i)).\nAnswer: 7189632*i**4 + 1136","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3233 (base 4) to base 6\nAnswer: 1035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w**2 + 11. Let y(q) = 3*q**2 + q + 12. Let f(s) = -4*n(s) + 3*y(s). What is the least common multiple of 14 and f(-7)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -29*m**3*r**2 - 29*m**3 + 2*m**2 - 226870*m*r**2 - 1124*m - 1 with respect to r.\nAnswer: -58*m**3*r - 453740*m*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -13 (b) 1 (c) 0.1 (d) 38 (e) -0.4 (f) -151\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 378433037 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p - 10. Let j be m(14). Solve -2*v = -10, -j*v + 2 = -2*s - 16 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2))**(3\/7)\/((v\/(v\/(v**(-1\/10)\/v*v)))\/(v\/v**(-2\/7)))*(v**(2\/13)*v\/v**(-6))\/((v**(1\/7)\/v)\/(v**(-5)*v)) assuming v is positive.\nAnswer: v**(4131\/910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 8\/42*(-366)\/1708*-91\nAnswer: 26\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-6)*y)\/y**7)\/(y**(-1\/2))**(4\/7) assuming y is positive.\nAnswer: y**(-82\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.33 and 20258671.\nAnswer: -6685361.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-4))\/(((-66)\/(-22))\/48)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12626?\nAnswer: 2, 59, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000038120571 to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/9 of a week in minutes?\nAnswer: 31360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 9) to base 10\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*a - 3*d - 15 = -2, -4*d - 26 = -2*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91297 = -65*z + 618468 + 1741784. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-4 - (13 - 16))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a litre in millilitres?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - m - 2 = -3*m, 4*l + 18 = -5*m. Let o(z) = -z**3 + 4*z**2 + z - 16. Let k be o(3). Sort l, k, 3 in decreasing order.\nAnswer: 3, l, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 5544*c - 376987. Determine z(68).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1631 - -37519\/23. Let u = d - -39\/115. Is u at least as big as 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*i - 6448 + 693 - 4101 = -61*i for i.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10.2082988378 - -0.2082988478. Let w = v + 10. Round w to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35635, 71520, 107407, 143296, 179187, 215080?\nAnswer: 250975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 66726?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6\/4*(-24)\/(-9) and 22?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -3*c - 41, 0*c - 4*g = 2*c + 34. Calculate the common denominator of 44\/5 and c\/(-6) - 2\/(-1).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/22? (a) 2 (b) -2\/19 (c) 2\/247 (d) 185 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 563615?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -8*r**2 - 13*r + 1. Suppose 4*i + 10 = h, -3*h + 0*h + 14 = -4*i. Let s(l) = -2*l**2 - 3*l. What is i*t(o) + 9*s(o)?\nAnswer: -2*o**2 - o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/10923275 and 139\/25818650.\nAnswer: 284005150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 5*z - 50 = 0, 0 = -3*t - 0*z + 4*z + 9. Let i be ((-12)\/4)\/6 - (-5)\/2. Suppose -n + i + 4 = 0. Which is smaller: n or t?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l - 9. Calculate n(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 - 11*l**2 + 3*l - 5. Let c be o(11). Solve 3*y = 16 - c for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2570.4077 + 3224.9.\nAnswer: 5795.3077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1237563.\nAnswer: 3, 137507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 n when two letters picked without replacement from {n: 2, b: 1, o: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 0.3 (c) 6\/7117\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -308, -305, -306, -311, -320?\nAnswer: -333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1148 plus -4.737339189?\nAnswer: 1143.262660811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*i**5 + 5489044*i**3 + 3*i**2 - 5*i + 79492 wrt i?\nAnswer: -40*i**3 + 32934264*i + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 108 and 102.\nAnswer: 1836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/2, 140, -1\/3, -43?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 16\/(-40) + 232\/5. Suppose 5*v - 39 = -5*u + a, -18 = -2*v + 2*u. Let c(h) = -h**3 + 13*h**2 + h - 8. Let w be c(v). Put -2, 1, w in ascending order.\nAnswer: -2, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 44450.87 weeks?\nAnswer: 26883886176000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 179576*t**2 + 787984*t**2 + 69191*t**2.\nAnswer: 1036751*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 31118 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 917?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, r: 5, h: 3}. What is prob of picking 4 r?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 48b (base 13) in base 11?\nAnswer: 65a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/10))**2*b\/b**(3\/4)*((b\/b**(3\/2))\/b)\/b assuming b is positive.\nAnswer: b**(-49\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s - 1421 = 8283. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of i**7\/840 + i**6\/180 - i**5\/24 + i**4\/12 - 4*i**3\/3 + 4. Let z(t) be the third derivative of y(t). What is z(-4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iuuu when four letters picked without replacement from {r: 2, u: 7, i: 2}?\nAnswer: 7\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 j, and 1 p when three letters picked without replacement from {p: 5, j: 1, o: 7, q: 5}.\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 3 = -12*b + 15*b, 3*b = -2*j - 3. Sort 1, j, 2, -78.\nAnswer: -78, j, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1756*i + 1152 = -1720*i for i.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**(-3\/4)*z)*z**(-2\/33)*z)**(-2\/31) assuming z is positive.\nAnswer: z**(-223\/2046)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 PM and 11:09 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/14? (a) 3 (b) 1 (c) -3 (d) 59.76\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + 11193\/33 - (-2)\/(-11). Suppose -l - 258 = -25*j. Calculate the greatest common factor of 136 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 3*u = -66. Let v = -41 - -28. Let a = v + u. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81\/325 at most 4085?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/56463?\nAnswer: 2\/56463","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*b - 4879954*b**2 + 9759911*b**2 - 4879947*b**2.\nAnswer: 10*b**2 + 10*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.24 times -227.54\nAnswer: -54.6096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.02, -48, 0.2?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7953.3 + 7953. Which is the closest to 0? (a) 15.15 (b) g (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10426 + -53733146.\nAnswer: -53722720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -38\/180471603 and 121\/27764862?\nAnswer: 360943206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -2028.\nAnswer: -6084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33 - -34.24. Let n = y + 1. Round n to 1 decimal place.\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*i**5 - 69*i**3 - 25*i**2 - 268*i + 31 wrt i?\nAnswer: -40*i**3 - 414*i - 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3976\/(-71))\/(-112)*-138.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v**3 - 11*v**2 + 12*v - 23. Let c be w(5). Suppose 0 = -c*t - 26*t + 5928. What is the highest common divisor of t and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 184\/23 - 3*1. Let f be (0 - 6\/4)*-6. Let y(z) = -24*z - 430. Let t be y(-18). Solve 6 = p*k + t*x - 13, 3*x + f = 5*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + (-9)\/(18\/(-64)). Suppose 0 = -5*l - 5*v - 15, i = -5*l + 3*v - 13. Let x be (2\/3)\/(l\/(-168)). Solve -x = -0*u - 4*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*u**2\/9 - 296*u\/3 + 160\/9 = 0. What is u?\nAnswer: 2\/11, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-12) + (-8275)\/(-3). Suppose -48*g = -46*g - f. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((126\/(-49))\/9)\/((-35)\/98*8)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10.2 + 10. Let o(j) = -46*j + 2082. Let u be o(45). Which is the second biggest value? (a) -1 (b) u (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26142130\/113 - -231344. Is -3 equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 AM and 3:52 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 - 4*w**2 + 25*w - 17. Let q be s(-7). Let l be 3\/(-9) - (-15)\/(-9). Calculate the common denominator of (-6)\/27 - (412\/q)\/l and 46\/7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*(-5)\/(-50)*-8\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 19 - 3 - 16.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 + -21. Suppose 0*q = q + 12. Let t = y - q. Solve -n = s - t, 2*n + 6 = n + 4*s for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(1\/17)*(w*w**(3\/17))\/w)\/(w*w**(-21)*w**(2\/89)) assuming w is positive.\nAnswer: w**(32095\/1513)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 - 6*g**2 + 5*g + 4. Let v be u(5). Let n = 13 - 12.4. Let l = n - 0.1. What is the second smallest value in -0.4, v, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*m - 4*m + 3*m**2)*((7*m - 38*m - 15*m)*(m - 3*m + 3*m) + 2*m**2 - 4*m**2 + 0*m**2) as c + j*m**3 + r*m**2 + u*m**4 + n*m and give u.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -462 + 925\/2. Suppose -4*l**2 + 1 - t*l - 5\/2*l**3 = 0. Calculate l.\nAnswer: -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 285 - -2?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -14*w + 1. Let b be n(-7). Suppose 0 = 3*g - 3*z - 18, 4*g = -31*z + 28*z - 11. Let v be ((-10)\/(-4) - g)*(-44)\/b. Is v less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -38029 (b) 2\/15 (c) -0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.0147? (a) -194 (b) 0.2 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - -3)*21\/6. Let y(z) = 66*z + 68. Calculate the least common multiple of 14 and y(o).\nAnswer: 3710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42142871 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -63 + 126 - 63 - 60*s to the form d + x*s and give x.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 66 divided by -127\nAnswer: -66\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 3:55 PM?\nAnswer: 1:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 143.1297 rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/270)\/(4\/(72\/(-6))).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -181\/210 and -13\/3066?\nAnswer: 15330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96*v**3 - 32*v**3 + 7 - 36*v**3 - 23*v**3.\nAnswer: 5*v**3 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -36 - -85. Suppose -r + 3*m + 18 = 0, -5*r + 34 = -4*r + 5*m. Let g = r + -7. Calculate the remainder when p is divided by g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1107?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2700 is divided by 114.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 + -11. Let r(b) be the first derivative of 71*b**2\/2 - 4*b - 1. Is r(d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jf when two letters picked without replacement from {r: 7, j: 4, f: 7}?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.17267209 and -11.\nAnswer: 1.89939299","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -f + 2*r + 47, -4*f + 2*r = -118. Let b(q) = -28 - 35 - q + 66 + 2*q**2. Calculate the remainder when f is divided by b(3).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 5*p - 9. Calculate the lowest common multiple of c(5) and 44.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 18*z**3 + 3*z**2 + 9*z - 4. Let s be v(4). Suppose -s = i - 8*i. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 4:13 PM?\nAnswer: 10:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.6 (b) 5\/2 (c) -4 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) -3\/5 (c) 21 (d) 2 (e) 11.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of d**5\/50 - d**4\/60 - 2*d**3\/15 + 7*d**2 + 9*d. Let o(l) be the first derivative of u(l). Factor o(f).\nAnswer: 2*(f - 1)*(3*f + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 - (0 - -22 - (83 + -37))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/15*2)\/((-4)\/(-4)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -c**2*d**3*m + 12*c**2*d**3 + 5*c**2*d**2 - 418*c*d**3*m wrt m.\nAnswer: -c**2*d**3 - 418*c*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - h + 4*v = -8, 2*v + 4 = 3*h. Let p be (h - -1) + 5 + -3. Solve -p*n - 3 = 9 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/24 and 63\/42502.\nAnswer: 510024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -4 + 1 + -7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -30.8599335 + 30.86. Round h to 5 dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(1\/10)*p**(-7\/4)\/p)**(-6))**(-4\/25) assuming p is positive.\nAnswer: p**(-318\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 2. Suppose 2*u - 4*v = 3 - 9, 0 = 5*u - 2*v - 9. Sort -2, u, q in descending order.\nAnswer: u, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.03 + -0.33. Let i(x) = 13*x + 22. Let k be i(-2). Which is the closest to 1? (a) k (b) -2\/9 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 3*a. Let d be (21\/15)\/((-6)\/(-60)). Let h(g) = 22*g + 17*g + d*g - 15*g. What is k(h(u))?\nAnswer: 114*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 263*f + 358*f - 12*f = 152*f - 1371 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 628\/749 - -2\/107. Let g = 182 - 1272\/7. What is d in -g + 2\/7*d**3 - o*d**2 + 6\/7*d = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 1550*c - 3. Let o(k) = -3083*k + 7. Determine 6*o(t) + 13*w(t).\nAnswer: 1652*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 4, 2, -54?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19\/51 + -1439\/714. Find the common denominator of 1*237\/36 + -1 and r.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -35 - 95463?\nAnswer: -95498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is 37465749 to the power of 1\/5, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of 7*n**3\/3 + 3*n**2\/2 + 12*n + 42. What is the hundreds digit of y(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145228839?\nAnswer: 3, 7, 29, 238471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 917460127 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y*y**(-1\/22))\/y*y)\/y)\/y*y\/y**(-16)*y assuming y is positive.\nAnswer: y**(395\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(88)*-3)\/(sqrt(392) + sqrt(392)*-5 + sqrt(8)).\nAnswer: -sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -278*d - 279*d - 281*d - 32*d**2 + 841*d - 17*d**3.\nAnswer: -17*d**3 - 32*d**2 + 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -4*n**3 + 998828*n**2 - 62359079040*n + 685829016576 = 0.\nAnswer: 11, 124848","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + 20110100?\nAnswer: 20110020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 230*x + 1602. What is v(-7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 43139 and 347618.\nAnswer: 83775938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g - 9. Let u be c(-7). Let r be (-141 + u)\/(1 + -2). Let v = r - 85. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(((-19)\/(114\/(-12)))\/(-6))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -56, -126, -196, -266?\n\"Answer: -70*g + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of -h**6\/360 - h**4\/8 - 3*h**2. Let n(v) be the second derivative of l(v). Let u(y) = y. What is n(u(k))?\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004553876 to 4 dps.\nAnswer: 0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 30*f**3 - 3 - 18*f**2 - 3 + 2 + 22*f - 23*f as t + k*f**2 + o*f**3 + b*f and give o.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 344641 a multiple of 187?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 61671271 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 3*v**2 - 1596*v + 61742. Give s(42).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -100*44\/(-8)*(-39)\/26. Let q = 1156 + b. Is 12 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 0 = -22. Let a(w) = w**2 + 8*w - 3. Let f be a(t). Calculate the highest common divisor of 150 and f.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 39245747, 39245772, 39245797, 39245822, 39245847?\n\"Answer: 25*h + 39245722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as 6\/270365?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2*g + g - 2*g - 4*g - 3. Let u be t(-3). What is u rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (15\/6)\/(1\/2). Suppose r*v - 28 + 8 = 0. Suppose -v*u + 5*u = 14. What is the greatest common divisor of u and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 11:46 AM?\nAnswer: 7:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -d5e05 - 3?\nAnswer: -d5e08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 897 - 555. Suppose -19*t = -16*t - z. Is 19 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 5*t + 12*x, 4*x - 6*x + 8*x - 9*x = 3*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 1. Let h be 2\/(-3) + 84\/(-36). Let s be 1*(-1)\/(-7)*-2. What is the closest to -1 in s, h, f?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 7, z: 3, u: 3, l: 7}. What is prob of picking 1 z, 1 y, and 1 l?\nAnswer: 49\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-6*sqrt(80)*-2)\/(-5*(4*(sqrt(110) + sqrt(110)*-2))\/sqrt(11)).\nAnswer: -24*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 67557111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 3*u**2 + 44*u - 23. What is the units digit of o(24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 5*b = 360, -6*m + b + 854 = -m. Calculate the remainder when m is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3940182 and 45?\nAnswer: 19700910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 2*l = 0, -2*l + 6 = -0. Let c be o\/(-11) - 4\/22. Which is greater: c or -1\/4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2823437 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27912 and 30665984?\nAnswer: 91997952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4636 - 31318?\nAnswer: -35954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -17. Suppose 219 = -24*n + 4755. What is the remainder when n is divided by u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -41\/10 (b) -1 (c) 2.24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 112 = 5*k - 481, -k - 5*l = -101. Let f = k + -94. Let y(b) = -7*b - 1. Let g be y(-4). Calculate the greatest common factor of g and f.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 16 = 20. Let z(f) be the first derivative of 3*f + 31*f**2 - 56*f**2 + 24*f**2 + u. What is z(-6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6531 * -0.1.\nAnswer: 653.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*u - 0. Is -11 <= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 6, g: 2, s: 3, r: 1, n: 4, v: 4}. What is prob of sequence nv?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0033254 rounded to four dps?\nAnswer: 0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-8))\/g**2)**(2\/3) assuming g is positive.\nAnswer: g**(14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 911\/6 + -151. Calculate the common denominator of a and 1*2\/11 + 12789\/5104.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 222, 1561, 5058, 11751, 22678, 38877, 61386, 91243?\nAnswer: 129486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -4\/5, -4, -4\/3, -4905 in ascending order.\nAnswer: -4905, -4, -4\/3, -4\/5, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111101110001110 + -10001101001010?\nAnswer: -1001111011011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -3*n + 14. Suppose 0 = -4*o + n*l + 12, 3*o - 5*o + 6 = -3*l. Is o at most as big as 12\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -3*k**2 + 58*k + 26. Let f be o(20). Calculate the remainder when (f - 132\/(-9))\/(2\/573) is divided by -2 - 1*-2 - -24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*l = -14*l - 28. Let m(y) = -y**3 + 3*y**2 + 2*y - 3*y + 6*y. What is m(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2542\/9 - -24763\/90. Calculate the common denominator of k and -26\/3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*m + 30*m - 8*m - 12 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 27*z = 184 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 10, 44*b - 43*b - c = 20859. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85603 to the power of 1\/4, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 69 = 24*g + 2*g + 3*b, 0 = -5*g - 4*b for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 5 - (4 + -3 + 15 + -23)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -283.39 + 270.39. Let b = 56 - 164\/3. What is the nearest to i in 0.4, 1\/2, 1\/6, b?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6 (b) 1.362 (c) -0.4 (d) -1\/4 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*q + 46*q - 101 - 4 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2483 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 643623964.\nAnswer: 2, 4691, 34301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1362*w - 10499 wrt w.\nAnswer: -1362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13260 and 1625?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 551.2495 millilitres?\nAnswer: 0.5512495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 + 4*o**2 - 2*o + 1. Let z be f(3). Let q = 56218 + -56216. What is the nearest to q in -49, -3, -0.2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -90, -327, -718, -1263, -1962, -2815, -3822?\n\"Answer: -77*j**2 - 6*j - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 35 + -50. Let p be 48\/10 - 3\/c. Suppose -4*f = 2*y - 26, 0 = -2*y + p + 1. Solve f*q = 2*j - 18, 4*j - 2 - 4 = -5*q for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 c, and 1 f when three letters picked without replacement from {j: 1, f: 4, c: 2, r: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -6*u**3 + 966*u**2 - 26*u. Let q(d) = -d**3 + 160*d**2 - 4*d. What is -6*a(w) + 39*q(w)?\nAnswer: -3*w**3 + 444*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4519385 divided by 69529.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000047825 to seven dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -333330003320 (base 4) in base 15?\nAnswer: -17113a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 4*t = 0, 1902*a = 1906*a - 2*t + 18 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -29*n + 121. Let q be w(4). Suppose -2*x = -q*x - b - 9360004, -4*x + b - 12479996 = 0. What is x rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of -5*a**4\/12 + 9*a**3\/2 + 4*a**2. Let b be d(3). Let r = -158 + 154. Put 5, -1, r, b in ascending order.\nAnswer: r, b, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -140*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 190 is divided by 72?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25 - 20. Solve -3*j + k*u + 22 = 0, -3*j = -5*j - 4*u for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/(u**11*u)))**(-46) assuming u is positive.\nAnswer: u**(-552)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 20, -3, 3, 15.\nAnswer: -5, -3, 3, 15, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*c - 27*c = 5*h - 3848, 3*h + 5*c = 2305. Solve 5 = h*q - 771*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**5 - 2*z**2 - 41*z**4 + 43*z**4 + 2*z**3 + 0*z**2.\nAnswer: -2*z**2*(z - 1)**2*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -82.2 - -92. Let p = w - 10. Let h = 2.5 - 3. What is the third smallest value in -1, p, h?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1210.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57 = 59*o - 116*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 29789 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75 is divided by 46.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(648) - sqrt(648))\/(-2*sqrt(294)).\nAnswer: 9*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of r**3\/6 + 63*r. Let s(w) = 2*w**2 - 367*w. Calculate d(s(h)).\nAnswer: 2*h**2 - 367*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.9 times -5\nAnswer: -4.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 875560 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*q + 31 - 11 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (136\/3)\/((-18)\/(-27)). Let v = -51 + m. Let q(d) = -d**3 + 15*d**2 + 33*d + 25. Calculate the least common multiple of 7 and q(v).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -4*p**2 + 10216476*p + 10216480 = 0?\nAnswer: -1, 2554120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 44 = -4*j - 2, -2*j - 98 = -3*h. Let i(c) = -3 - 27*c - 13*c - h*c. Is i(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*h - 7 - 4*h + 7.\nAnswer: -13*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19869*h**2 + 37889*h?\nAnswer: 39738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144*u - 5*j + 11 = -141*u, 133 = 65*u + 3*j for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -30*c - 4. Let n be j(-3). Let q = -47 + n. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 364, 616, 868?\n\"Answer: 252*k + 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -294*b - 7057. Let l be p(-24). What is the closest to l in 0.3, -3.7, -2, -1.1?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/2)\/(b\/b**(-8)))\/(b**0*b**(-5)*b) assuming b is positive.\nAnswer: b**(-9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(84)*2 + sqrt(84)) + sqrt(84) - sqrt(84))\/(sqrt(12) + 1*sqrt(588) + sqrt(12)) + (-1*sqrt(1008)*4)**2.\nAnswer: sqrt(7) + 16128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence on when two letters picked without replacement from ynnknnnonynnn?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7\/6? (a) 2\/9 (b) 0.2 (c) 3 (d) -0.1 (e) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 - 1)*(2 + 1 - 5)*(-116*q - 167*q - 381*q) to x*q + r and give x.\nAnswer: -3984","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -358.2 - -16.2. Let i = a + 340.13. What is i rounded to 1 dp?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/6 of a day?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 321\/295 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2721523762.\nAnswer: 2, 97, 479, 29287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.3 - 0.2. Let x = 0 - -0.5. Let g = -157 + 160. Which is the third smallest value? (a) w (b) x (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57613 + 37616 + 23043 = 8*o. List the prime factors of o.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 PM and 8:39 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ereyy. What is prob of picking 1 y and 2 e?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11122210 + 101?\nAnswer: -11122102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1433236 divided by 28?\nAnswer: 51187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6748*t - 4272*t - 4728*t + 548*t - 1716*t)*(0*t + t - 3*t) to the form d*t + f*t**2 + o and give f.\nAnswer: 33832","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z = -5*z - 16. Let o = z + -13. Let d = o + 6. Solve 12 = -4*u, -u + d = -2*s - 0*u for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*r + 20. Suppose -12 = -p - 5*k, 4*k - 19 = -r*p + 41. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 3*z = -0*d - 2344, z = -3*d + 1758. Suppose 4*x + 2*c + 0*c - 584 = 0, 4*x - d = -3*c. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3593, 3580, 3553, 3506, 3433, 3328, 3185, 2998?\n\"Answer: -a**3 - a**2 - 3*a + 3598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 74151.53 micrometers in millimeters?\nAnswer: 74.15153","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 + 24*v + 23. Suppose 127 = -5*b + 4*h + 12, 0 = 3*b + 3*h + 69. Let y be d(b). Solve y = 5*c - c - 8 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/13*5603\/1293?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -67*j**2 + 363*j - 36. Let k be t(5). Solve 320 + 96 = -k*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2734, -5511, -8290, -11071, -13854, -16639?\nAnswer: -19426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 6 = -2*q + 2*j, -2*j - 24 = -8*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 2. Let k = 15 + -11. Is 9 a factor of (52\/8)\/(c\/k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23575\/7175 - 3685\/35.\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -213 + 167.8. Is -2\/7 at least as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94626603?\nAnswer: 3, 3504689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 3:49 AM?\nAnswer: 7:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -7 and -594.54061814?\nAnswer: 587.54061814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1576 is divided by 21?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-546)\/18)\/(5\/(-30)). Let p = -184 + l. Put 4, -3, p, 6 in increasing order.\nAnswer: -3, p, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkj when three letters picked without replacement from {p: 6, j: 2, w: 3, k: 4}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 + 16*a - 36. Let h be o(-21). Let x = 75 - h. Suppose 10 - 1 = 3*k. Solve -x = 6*q - k*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -11. Let j = -3195.1 + 3195.4. Sort j, 9, p, -5.\nAnswer: -5, j, p, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 9:35 AM?\nAnswer: 12:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6936 and 16473.\nAnswer: 867","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2086916\/43550 - (12\/75)\/(-2)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2\/277 + 616\/8587. Which is smaller: 5\/2 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 45.650075 + -46.15. Let c = 0.4 - -0.1. Let u = c + m. Round u to five dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10) + (sqrt(640) - -2*sqrt(640)) - sqrt(10))\/(sqrt(125) - sqrt(125)*-3).\nAnswer: 6*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*r - 704 = 17*r. Suppose 6*i - r = -2*i. What are the prime factors of i?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 - 3*a**2 - 2*a + 8. Let f be u(4). What is the tens digit of (-5 - 4)*f\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -32.1 + 32. Let g = -198 - -198. Sort -30, g, -1\/3, r in increasing order.\nAnswer: -30, -1\/3, r, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -24 (b) -2\/11 (c) 381056 (d) -0.3 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-17))**11\/(a**(-34))**(-21\/2))**(3\/17) assuming a is positive.\nAnswer: a**(-96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 - -15. Suppose h*a - 3 = 0, a = u - 4 - 1. What is o in 43 - 98*o**2 - 71 + u*o**4 - 26*o**3 - 94*o + 0*o**4 = 0?\nAnswer: -1, -2\/3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-42)*(-700)\/(-225)*(-3)\/(-2)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 6*d**3 + 11*d**2 + 4*d + 10. Let x(q) = q**3 + q**2 + q + 1. Let m(z) = v(z) - 5*x(z). What is the remainder when m(-6) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l + 6. Suppose 2*o = -3*o - 3*v - 39, -4*o - 4*v - 36 = 0. Let c(m) = m**3 + 5*m**2 - 5*m + 6. Let x be c(o). Determine s(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that v**5\/4 - 33*v**4\/4 + 79*v**3\/2 + 473*v**2 - 162*v - 1760 = 0.\nAnswer: -5, -2, 2, 16, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/25, 1\/8, -1.3, -0.09 in descending order.\nAnswer: 1\/8, -2\/25, -0.09, -1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 158.5 and -0.968?\nAnswer: -153.428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2331033 - 33?\nAnswer: 2331000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 678337?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.085 + 15.085. Put 4, u, -25\/4 in decreasing order.\nAnswer: u, 4, -25\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*t = 24*t. Suppose t = -6*x + 279 + 9. What is the least common multiple of x and 24?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/5 - 15\/25. Let d = 0.06 - 0.07. Let x = -0.05 + d. Which is the second biggest value? (a) v (b) x (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/2 - 1293*q\/2 - 4550.\nAnswer: (q - 1300)*(q + 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 460 divided by 10\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3160 and 1520.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -8*d - 13. Let p be g(-4). Let v be 8\/(-4)*72\/(-16). Suppose -119 - 52 = -v*q. What is the highest common divisor of p and q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 289 divide 11553642?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + o + 230 = 0, 27*u - 31*u + 2*o + 190 = 0. Solve 3*v + 15 = 0, -v + 15 = 5*g + u for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 8 = 2*a, -17 = -5*a + 2*u - 2. Let b(g) = -31*g**2 - a + 20*g - 5 - 23*g. Let o be b(-4). Round o to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5136, -5107, -5078, -5049, -5020, -4991?\nAnswer: -4962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-5)\/(-2))\/5*0. Let j be (2 - (-5)\/(-2))*i. What is the third derivative of -12*d + 5*d**4 + j*d**4 + 12*d - 2*d**2 wrt d?\nAnswer: 120*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -66*h**2 + 3*h - 2. Let q be o(-4). Round q to the nearest one hundred.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -4 (b) 10 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122*x = 144*x - 319*x + 1532760. Does 75 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31.45 - -48.4. Let q = 0.05 + d. Let a = q + -16.9999943. What is a rounded to 6 dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(8) + sqrt(8)*1)*-5 - -5*sqrt(32)\/sqrt(4))\/((sqrt(1620)*-1 - sqrt(20))\/(sqrt(80)*-2)).\nAnswer: -4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2785988*x + 2785988*x - 6*x**2.\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -19.4 * 17\nAnswer: -329.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/3, -0.6, -319?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15377201.26274 - 18.\nAnswer: -15377219.26274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of v**4\/6 - 4*v**3\/3 + 3*v**2 - 3*v + 36. What is k(7)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 3*d**2 + 15*d - 42 = 0.\nAnswer: -7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 1 - 2738*m**2 + 2718*m**2 to the form r*m + g*m**2 + x and give g.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of -j**7\/2520 - j**6\/144 + j**5\/20 - 4*j**2. Let d(z) be the third derivative of g(z). Is d(-9) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 - b + 16. Suppose -173*g + 36 = -171*g. Suppose 20 = -5*h - 2*m + 6, 3*h - 2*m + g = 0. Let t be q(h). Solve t*l + 0*l - 16 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 PM and 10:38 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*(-40)\/(-17640) - (-1172)\/(-196).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 249244977?\nAnswer: 3, 83081659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*j**4 - 2*j**3 - 2 + 146*j**2 - 151*j**2 + 7*j**4 to i*j + v*j**2 + k*j**4 + h*j**3 + s and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1714)\/(-10) - (-22)\/(-55). Let i = k + -156. Solve -i = -2*m + 7*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 3 - 3)*(c - c + c) - c - 2*c + c - c + 6*c - 4*c)*(-20 - 44 + 94).\nAnswer: -90*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m + 70 = -53*m - 165 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2429 = -253*g + 101 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -50a1a (base 15) to base 2.\nAnswer: -111110010110101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 21 = f - 2*m, -111 = -5*f + m. Suppose -n - f = n. Let g = n - -13. Solve 4 = -2*i, -k + g*i + 7 = -2*i for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 206*t - 45 + 10 + 15 + 10 + 11 as v + g*t and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2086.\nAnswer: 2, 7, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6552035 meters in centimeters?\nAnswer: 65.52035","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.081307 and 1.\nAnswer: 0.081307","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -8*w + 11. Let y(t) = -3*t + 4. Let b(j) = -4*c(j) + 11*y(j). Let k be b(0). Let o be ((-2)\/6)\/(13\/(-6)). Is o > k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fooo when four letters picked without replacement from {f: 4, o: 14}.\nAnswer: 91\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.683 * -1.13004\nAnswer: 0.77181732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 150\/90*81\/45*6.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 188 - (-2)\/(-10)*40. Solve 11*b - q = -19*b for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 263640 and 1092.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 378 is divided by 99.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 1:28 AM?\nAnswer: 3:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -61*i - 313. Give w(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l - 7. Let b be m(-6). Let x = -5 + b. Suppose x = -6*s + 2*s + 4. Solve v + 5 = s for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of -x**3\/6 + x. Let a be 6\/4*8\/6. Let l(c) = 0*c - 2*c**a + 0*c + 0*c**2. Give l(t(g)).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.02 and 1949585.\nAnswer: -38991.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 3804?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 3 m when four letters picked without replacement from {q: 1, h: 1, d: 1, s: 2, m: 2, w: 7}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 316238948?\nAnswer: 2, 79059737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 27089, 54182, 81273, 108362, 135449?\n\"Answer: -z**2 + 27096*z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + -1 + (-3 + 23)\/4. Is (v + 1 + -7)*(-9032 + 3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25 + 24.8. Let j = -0.1 - -4.1. Which is the third biggest value? (a) j (b) 0.3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21 or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 2*o + 138, -5*o - 2 = 8. Calculate the greatest common divisor of 1139 and x.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -21 and 0.1349.\nAnswer: -20.8651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 + 22*h**2 - 6*h + 6. Let c(z) = -2*z**3 - 44*z**2 + 11*z - 11. Give 11*a(n) + 6*c(n).\nAnswer: -n**3 - 22*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -7. What is the smallest value in q, 3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 522029, 1043576, 1565123, 2086670, 2608217, 3129764?\nAnswer: 3651311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b**5 - 33*b**4 + 41*b**3 - 3*b**2 - 10*b = 0. What is b?\nAnswer: -2\/5, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-55)\/15)\/(-11))\/(-2*6\/72).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -32300 - -0.076?\nAnswer: -32299.924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6618194 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (310*g - 791*g + 19 + 414*g)*(1 - 1 - 2).\nAnswer: 134*g - 38","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**2\/2 - 72*l + 138.\nAnswer: 3*(l - 46)*(l - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-119)\/(-34) + (-2)\/4. Suppose -5*j - 3*b = -14 - 4, -7 = -3*j + 2*b. What is the highest common factor of h and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 4 + 1054160492*g**3 - 1054160489*g**3.\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/4 - (-25)\/(-4). Let o(r) = -8*r**2 - 13*r + 2. Let v(q) = -q**2. Let f(y) = o(y) - 6*v(y). Let j be f(c). Round j to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42372 + 238815 = 3*g + 20*g. What is the hundreds digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 2*c + 274 = 0, h = 6*h + c - 691. Calculate the common denominator of -55\/292 and 590\/(-118) + (h\/(-8) - 0).\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from ffnzz.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -555*b + 45*b - 8160 = 0 for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32394 and 60.\nAnswer: 323940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 590 and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 0*j + 238 = -s, -5*s = 2*j + 176. Is j > -78?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (2\/15)\/((-6)\/9)*-215?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 + 9)*(2*n - 3 + 3)*(-1 + 6 - 3).\nAnswer: 44*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0048081 to 4 dps.\nAnswer: -0.0048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-13)\/(s*s*s*s**3*s))**(-10\/9) assuming s is positive.\nAnswer: s**(200\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of -m**3\/6 + 35*m**2\/2 + 12*m + 39. Give x(16).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19313, -19356, -19393, -19418, -19425, -19408, -19361?\nAnswer: -19278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of -3*g**5\/5 + 51*g**4\/4 - 44*g**3 + 42*g**2 + 726. Factor j(n).\nAnswer: -3*n*(n - 14)*(n - 2)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 38\/7 and 75\/116?\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -0.5, 0.01?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of -l**9\/5040 + l**5\/120 - l**4\/12 + 5*l**2. Let z(q) be the second derivative of m(q). What is the derivative of z(x) wrt x?\nAnswer: -12*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/(-36) + 4\/(-6))\/(4*-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1268 is divided by 95?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 71 + -58. Calculate the least common multiple of i and 7.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 634 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 58103 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-seven quarters of a kilogram?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47284043.\nAnswer: 137, 345139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 138\/18 - (-2)\/6. Let v(a) = 8*a + 6. Let q be v(l). What is the greatest common divisor of q and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -6. Let t(k) = -k**3 + 6*k**2 + 8*k - 7. Let v be t(7). Let c = 3 + -3. What is the closest to v in o, c, -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -3*h + 0*h + 2*h. Let m be 6\/(-87) - (-806)\/754. Let n(t) = -5*t. Let i(k) = m*n(k) - 6*s(k). Let x(d) = 29*d**2. Determine i(x(r)).\nAnswer: 29*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 397 = -4*s + 5*h, -s - 29 = 4*h + 44. Let y = -87 - s. Calculate the lowest common multiple of y and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2, 35, 122, 275, 506, 827, 1250?\n\"Answer: 2*n**3 + 15*n**2 - 26*n + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2606 - 4152. Let c = s - -1545.95681. Let l = -0.0454 - c. What is l rounded to four dps?\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.33 - 2681.329\nAnswer: -2681.659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 2926852?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -2448.6 to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 103, 316, 671, 1168?\n\"Answer: 71*v**2 + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2462675, 2462747, 2462819, 2462891?\nAnswer: 2462963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1446921\/(-24))\/7 + -1. Let f = z + 8601. Calculate the common denominator of f and -37\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 6564, 6512, 6460, 6408, 6356, 6304?\n\"Answer: -52*a + 6616","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 2*k - 5*b - 70 = 0, -5*b + 80 = -3*k. What is the remainder when 191 is divided by (-5 - 6\/k)\/(2\/(-5))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13774)\/(-3880) + 180\/(-48)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - (5 - 4))*-9. Let u be (3 + -34)*(-5)\/(-5). Let j = -31 - u. Solve j = 4*v - y - 11 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*l**2 + 110*l + 1 + 5*l**2 - 111*l)*(2*l + 0*l - l)*(-11 + 51 - 8) to the form u + c*l**3 + n*l + b*l**2 and give c.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66.20603 tonnes to nanograms.\nAnswer: 66206030000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*o + 4*o**2 - 2*o**2 + 2*o)*(10*o**2 - o + o) as u*o + l*o**3 + f + w*o**4 + s*o**2 and give l.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 134346 - 2?\nAnswer: 134344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q. Let s(k) = -25*k. Let l(x) = 4*a(x) + 4*s(x). What is the tens digit of l(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 41154*c**5 - 2*c**3 + 189598*c**2.\nAnswer: 2469240*c**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -93 - -117. Suppose 5*s + g = 39. Solve 2*k + s*y + 18 = -y, 2*y = -8 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -49517, -4, 5 in descending order.\nAnswer: 5, -4, -49517","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 352.8 - 323.86. Let s = l + -29. Let k = -0.34 + s. Which is the third smallest value? (a) k (b) 5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 - -10. Let r be y\/((-3)\/(-1 + 7)). Solve r = 4*j + 12 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of 0*x + 0 - 9*x**2 + 1\/8*x**4 - 2\/3*x**3. Calculate g(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + 100010010101101000111010000?\nAnswer: 100010010101101000111001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*w - 2*w**2 - 457*w - w**2.\nAnswer: -3*w**2 - 513*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 31*y + 6. Let a be s(3). Suppose a = 2*l - 221. Suppose 3*b - l = -25. What is the remainder when b is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 273 = 7*r - 420. Is r a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 9, 0.07, 2\/33?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2 + 4 + 3*z**3 - 1 - 2*z**2. Let m(d) = -d + 4. Let k be m(5). Let s be (2 - 0)\/(3 + k). What is j(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 476 + -330. What is the derivative of -85*j + 9 - 81*j + m wrt j?\nAnswer: -166","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - -278?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 + 8*j - 3. Suppose t + 8*s = 3*s + 20, 5*t + 20 = 5*s. Suppose t = -12*w - 22 + 70. What is c(w)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 276267 (base 12) in base 14?\nAnswer: 130263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/8 of a litre?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -52.7 + 50. Let w = 3.2 + q. Which is the closest to 2? (a) 2\/5 (b) w (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x**2 + 2*x + 3. Let h be m(-4). Let s(t) = 5*t**2 + 2*t + 1. Let q be s(-3). Let n = q - h. What are the prime factors of n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 13, c: 6}. Give prob of sequence ccc.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c. Let i be -2*(3 - 0)*1. Let o be (3\/2)\/(i\/(-8)). Let l(k) = -o*k - 2*k + 6*k. Calculate l(d(w)).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -35 + 1 - (-996 + 999)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (36\/8 - 4)*0. Let k = -0.51 - -0.01. Let g = -2.9 + 4.9. Put a, g, k in ascending order.\nAnswer: k, a, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + 0. Let v = 2 - k. List the prime factors of (-99)\/(-6)*v\/(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -87, -0.5, 7, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 99*i - 217*i = -107*i + 190, -m + 3*i + 54 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 - 25*o**2 - 50*o - 78. Calculate the remainder when 205 is divided by c(27).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 PM and 4:00 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-9)\/6)*((-1914)\/(-836))\/29?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 2*o**2 + 261036*o + 261034 = 0.\nAnswer: -130517, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 246 - -5704. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 + 4*q - 56. Determine b(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5218 (base 14) in base 5?\nAnswer: 423014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 7 = -1. Let u be (w\/(-6))\/((-28)\/(-21)). Let p = 20 - 20.1. Which is the biggest value? (a) u (b) -3 (c) 3 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.9301973768 + -2?\nAnswer: -3.9301973768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 6\/8*420\/(-70)\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162 is divided by 24?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 583 + -14577\/25. What is the nearest to 0 in 3, -1, 0.3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1661 or 1?\nAnswer: -1661","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -878 + 882. Solve -x - 10 = -0*o - o, x = -l*o + 15 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34\/173 - -10673\/55187. Is y equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2 - 2101*d + 4206.\nAnswer: -(d - 2)*(d + 2103)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = d + 4*d + 324, -i - 5*d = 162. Let w = i + 209. Is w a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 7 - 4*u**2 - 15 + 14*u**2 + 13. Let y(p) = -7*p**2 - p - 4. Let q(j) = -4*r(j) - 5*y(j). Factor q(z).\nAnswer: -5*z*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -118 (base 13) to base 7\nAnswer: -361","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 + 7*m**2 - m + 10. Let a = 32 - 25. What is the units digit of w(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q**2 + 11*q + 7. Let v be i(-5). Suppose 0 = -2*f + 2*a, -v*f - 2*a + 5 = -5*f. Suppose 2*p - 4*x = -p + 18, 0 = 5*p + x - 7. Sort p, f, 3.\nAnswer: f, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4c444 (base 14) in base 2?\nAnswer: 101101110000101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2458684 millennia to decades.\nAnswer: 24.58684","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 966*i = -2956*i - 58830 for i.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -535702 (base 10) in base 6?\nAnswer: -15252034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*v - 37 - 35 - 75 - 12 + 184 - 26.\nAnswer: 5*v - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -13*r + 14*r. Let y = 4.92 + 0.08. What is the nearest to 0.04 in r, -2\/3, y?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d - 9*d + 4 = 0. Suppose -d*c + 21 = -3*s, -2*s + 4*s - 8 = -c. Suppose 0 = -0*i + c*i - 24. Solve i = -4*k + 5*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 50 and 2525.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 0.3 (c) 2\/33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -40 - -58. Suppose 24 = -b + 29, -5*x = b - 1715. What is the greatest common factor of o and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -9*q**3 - 13*q**2 - 11*q + 463. Let z(r) = -4*r**3 - 6*r**2 - 5*r + 235. Determine 6*k(n) - 13*z(n).\nAnswer: -2*n**3 - n - 277","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 260 and 416?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9.094 + -6.094. Which is the fifth biggest value? (a) -0.5 (b) v (c) -1 (d) 5 (e) 1\/44\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*g + 8952 = -3979. What is the remainder when 1008 is divided by g?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13? (a) 5 (b) -2\/9 (c) -23 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhohohhohahhhhaahh. Give prob of picking 2 o.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 10057*n**2 - 20123*n**2 + 62 + 10068*n**2 as h + z*n + k*n**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 38, -2 in decreasing order.\nAnswer: 38, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -12*v**3 + v**2 + 2*v - 3. Let y be q(2). Let s = 188 + y. Suppose -2*m = m + z - s, 4*m - 131 = -3*z. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**2 + 2 - 2)*((-3 + 1 + 4)*(-3*i + 4*i + i) + 2*i + 0*i + 0*i - 4) + 3 - 185*i - 4*i**3 + 185*i.\nAnswer: -16*i**3 + 8*i**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-1\/14)\/v**4*(v\/v**(-1\/4))**(2\/17) assuming v is positive.\nAnswer: v**(-467\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -313 + 434. Determine s so that -5*s**3 + 3*s**3 + 6*s**3 - 261*s**2 - 48*s + 124*s**2 + d*s**2 = 0.\nAnswer: -2, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**3\/2 + 123*s**2\/2 + 237*s\/2 + 117\/2.\nAnswer: 3*(s + 1)**2*(s + 39)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(700) + 1.\nAnswer: -1 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -8*x**5 + 4*x**4 - 4*x**3 - 4*x**2 + 6. Let n(h) = h**5 - h**4 + h**3 + h**2 - 1. Let f = 9 - 3. Let a(k) = f*n(k) + i(k). Factor a(o).\nAnswer: -2*o**2*(o - 1)*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 + -2 - 2)*-1. Suppose 3*n + 22 = t + 65, 5*n + h*t = 68. Find the common denominator of (343\/n)\/(2*2) and -77\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3*(-76)\/(-6)*2. Suppose -b = -4*a - 4*n, a + 45 = 4*a - n. What is the lowest common multiple of 36 and a?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from edddeeddedeeedddeed. What is prob of picking 1 e and 2 d?\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15955 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve i**4 - 489*i**3 - 28780*i**2 + 29268*i = 0.\nAnswer: -54, 0, 1, 542","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 + 2*i. Let o be c(2). Let u = -64 + 50. Let k(a) = -7*a - 97. Let v be k(u). Calculate the greatest common factor of o and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8243958 is divided by 949.\nAnswer: 944","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 3\/7, 51, -1.27, 2?\nAnswer: -1.27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -44358.1 + 44358. What is the nearest to s in -0.04, -0.5, 27, 2?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 259013 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2657 is divided by 762.\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of 35 and -6495831.5.\nAnswer: -6495796.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-203)\/(-580))\/(15708\/(-23936)).\nAnswer: -8\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7792137 is divided by 6559?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/15*(-15)\/2*32\/(-16)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2\/135 - -88\/135. Let u = -117069 + 117067. Which is the third biggest value? (a) 1.5 (b) s (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-3*1*(sqrt(209) - sqrt(209)*2)*1)\/(-4*(2*sqrt(704) - sqrt(704)) - -1*-2*sqrt(704))*-5.\nAnswer: 5*sqrt(19)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/4)\/(o\/(o*o**0*o)))**(1\/4) assuming o is positive.\nAnswer: o**(3\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 400044809 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + v - 2*v - 6)*(-4 - 1 - 3).\nAnswer: 8*v + 40","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 913536?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 45*s + 19. Let a be c(8). Suppose -6*b + 419 = -3*b + 4*j, -3*b = -4*j - a. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that o**3 - 2617*o**2\/4 + 8103*o\/2 - 972 = 0.\nAnswer: 1\/4, 6, 648","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 1 = -3. Let n be ((-2)\/(-2 - -1))\/y. Differentiate -3*c**n + 1 + 2 + 0 wrt c.\nAnswer: -6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4287*b + 0*b**2 - 4287*b + 0*b**2 + 21*b**2.\nAnswer: 21*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 + 2*c**2 - 3*c - 1. Let a be n(-2). Solve -a = -4*m - 13 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (-1 - -5) + 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 - 2 = -3*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17\/(510\/135))\/(1\/(-4)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 338?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6282 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(52)\/sqrt(4) - sqrt(13)) - 6*1*sqrt(13).\nAnswer: -6*sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l**2 - 13*l - 12. Give x(11).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -95, -115, -135, -155, -175, -195?\n\"Answer: -20*z - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.17913 - -0.12087. Let t = -0.56 + 0.1. Which is the second biggest value? (a) 4 (b) -3\/7 (c) y (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 - 3. Let w = 28 - m. Is w a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (24 - 28) - (11 - 1).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27525673?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -5*a**3 - 3*a**2 - 4. Let c = -2 + 3. Let f(u) = -7*u**2 - c - u**3 + 23*u**2 - 17*u**2. Give -4*f(t) + g(t).\nAnswer: -t**3 + t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 25905 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2252458?\nAnswer: 2, 13, 41, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 5 = -0. Suppose d + 2*n = w + 42, 0 = 5*n - 10. Suppose 0 = 2*m + 4*q - 7*q - d, 3*m = q + 48. Solve 2*g = f + 1, 0 = -7*f + 4*f + m for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 3*o + 41 = -3*p, 4*o + 4*p = 20. Let a be (-28 - 0)\/((-244)\/(-36) - o). What is the greatest common divisor of a and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 156713?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4440, -4, -57, 5 in increasing order.\nAnswer: -57, -4, 5, 4440","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(52) + sqrt(52)*-1*-5)\/(sqrt(4) - 5*-1*sqrt(4)))**2 - (-5*sqrt(208) + (sqrt(78)\/sqrt(2) + sqrt(39))\/sqrt(3) + 1*sqrt(26)\/sqrt(2)).\nAnswer: 13 + 17*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 99 - 102 - (-1 - -1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8883\/2717 + -336\/247. What is the common denominator of f and (26\/(-24))\/((-1)\/20)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -3*v + 1. Give b(-9).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-1\/13)\/n)\/(n**(1\/6)*n))\/(n*n**(-1\/3)*n**(-3\/2)))**(-9\/2) assuming n is positive.\nAnswer: n**(165\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, 0, 83 in descending order.\nAnswer: 83, 4, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -40\/2673 and -75\/91828.\nAnswer: 22314204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92891.\nAnswer: 19, 4889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (f + f + 0*f)*(-4*f + 5*f - 2*f**3 - 6*f**3)*(-3 + 0 - 1) to the form u*f**3 + o*f**4 + x*f**2 + r + z*f and give x.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = f - 43, 5*f - 6*f = z - 27. Let n(q) = q**2 - 31*q - 209. Let x be n(37). Let d(v) = -4*v + f + 1 - x + 3*v. Determine d(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 6079830?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 PM and 10:19 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3285 = 16*v - 83*v - 9918 for v.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1674076 is divided by 346?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of -9*l**2\/2 + 125. Let k(o) = -o**2 + 1 - 6 - 5*o**2. Let q(j) = -7*j**2 - 6. Let u(r) = -6*k(r) + 5*q(r). Determine u(c(h)).\nAnswer: 81*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 + 3*m**2 + m + 4. Let b(x) = -2*x + 22. Let r be b(9). Give h(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 209508 - 36873605\/176. Let p = l + 15\/16. What is the closest to -0.1 in 2\/13, p, -0.5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from pppppppppppoppppppp.\nAnswer: 15\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 56, 105, 198, 347, 564?\nAnswer: 861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 67\/4 of a century?\nAnswer: 20100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 145993 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 40, -39, -4, 5 in ascending order.\nAnswer: -39, -4, 5, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 5 = -2*i. Let y = i - 9. Let x = 7 - 3. Which is the nearest to -2? (a) -0.5 (b) x (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of p**6\/10 - 339*p**5\/5 + 51075*p**4\/4 + 226*p**3 - 76614*p**2 - 1244*p. What is a in q(a) = 0?\nAnswer: -1, 1, 226","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 - v**2 + 2*v + 13. Suppose 4*u + 3*q = 11, -u + 9 = 3*u + q. What is the remainder when c(0) is divided by u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 15*q - 13 = 0, -183*c - 3*q - 109 = -179*c for c.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 43406.8 millilitres in litres?\nAnswer: 43.4068","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -437065 divided by -1433\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 91.9 + -51. Let i = h + -41. Let s = -225.6 - -226. Which is the second biggest value? (a) -3 (b) s (c) i (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 15, 40, 69, 108, 163?\n\"Answer: a**3 - 4*a**2 + 30*a - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in sixty-four fifths of a second?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57221*r + 13 = -57225*r - n, -2*r - n + 0*n - 7 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -44246 smaller than -44130?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of (-2 + 0 - 2) + 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -k + 80, 8 + 176 = 2*k - 2*x. Let h(b) = -20*b**2 + 596*b + 39. Let u be h(30). Let j = k + u. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -141321\nAnswer: -2\/141321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 2*o**3 + 3*o**4 + 0 - 2*o**4 as r*o**2 + j*o**3 + u + m*o**4 + n*o and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1653246702?\nAnswer: 2, 3, 17, 53, 101939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 + (-47 - -25) + (3 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 693, 4894, 11897, 21702, 34309, 49718?\nAnswer: 67929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22*7\/(-6)*(-1006)\/5533?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5486440369 to the nearest integer?\nAnswer: 1764","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -75.32 - -1.32. Let g = n + 74.37. Let x = g + 0.03. What is the third biggest value in -0.5, x, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-67)\/(670\/(-14400))*(3 + -1). Calculate the greatest common factor of f and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwwgrgaq. What is prob of sequence rw?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -15 + 1\/1 + 0. Let t = n - -71. Let f = t - 53. Solve 0 = l - f*b - 2, 1 = -l + 4*b - 3*b for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/3, 0.07, -1, 0.5, 12\/4163, 3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a + 1. Let f(t) = t + 5*t - 4*t + 0*t + 5. Let h(b) = b + 11. Let l be h(-12). What is l*f(r) + 3*m(r)?\nAnswer: r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/i**(-2\/3)))\/(i**(2\/7)\/i))**46\/(((i\/((i*i*i**(-6)*i)\/i))\/i)\/(i**(2\/7)\/i))**(2\/147) assuming i is positive.\nAnswer: i**(2188\/1029)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.15 (b) -86 (c) -1 (d) -9 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y**3 + 33*y**2 + 29*y. Let t(l) = l**3 + 19*l**2 + 15*l. Give 4*k(b) - 7*t(b).\nAnswer: b**3 - b**2 + 11*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14876 and 11188?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22736*o - 570 = 22698*o for o.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of 3*n**2\/2 - 14*n + 9. Let l(s) = s**2. What is l(i(h))?\nAnswer: 9*h**2 - 84*h + 196","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -258.4 or -2\/453?\nAnswer: -2\/453","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 8.29096 micrometers?\nAnswer: 0.00000000829096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 490101*f**2*i*t**2 - 1515*f**2*t - f**2 + 3*f*t**2 + 81*f wrt i?\nAnswer: 490101*f**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54406011 is divided by 10881189.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h**2 + 20*h - 8 = 0. Calculate h.\nAnswer: -2, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 16\/3, 3, 0, -21\/32 in increasing order.\nAnswer: -21\/32, 0, 3, 16\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 AM and 4:55 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -528 (b) -3\/10 (c) -3 (d) -10 (e) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 15*f**2. Let i(z) = 2*z**2 + 5*z - 5. Let j(x) = x**2 + 2*x - 2. Let d(p) = 2*i(p) - 5*j(p). Give m(d(c)).\nAnswer: 15*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of t**6\/120 + 11*t**3\/3 - t - 24. Let o(k) be the third derivative of w(k). Let h(x) = 22*x**2. What is h(o(b))?\nAnswer: 198*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -39 - -39. Which is bigger: 3\/25 or m?\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 != -93?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24853325.\nAnswer: 5, 7, 142019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5087470 divided by -1655.\nAnswer: 3074","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42632?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1728 to the power of 1\/2, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 21 = -12*g - 2*g, 5*x + 2*g = 39 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + ((-9)\/5)\/(15\/(-25)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, v: 10}. Give prob of picking 2 v.\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -0.19, 0.4, 36865, 5, 1\/6, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43349, -43456, -43641, -43904?\nAnswer: -44245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -15*8\/240*(-10)\/(-15)*-9. Find z, given that 12\/7 - 12\/7*z**4 - 9\/7*z**2 - 48\/7*z + 39\/7*z**s = 0.\nAnswer: -1, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466983667 to the power of 1\/2, to the nearest integer?\nAnswer: 21610","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gn when two letters picked without replacement from {g: 1, w: 2, n: 10, u: 1, f: 4}?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3686 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2*k + 15. Let n be z(0). Let c = -12 + n. Let 0 + 8\/3*y**5 - 2*y**c - 8\/3*y**4 - 2\/3*y + 8\/3*y**2 = 0. What is y?\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*b - 70418 - 40922. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3 - 350147*r**2 + 1050450*r.\nAnswer: -r*(r - 3)*(r + 350150)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204839 is divided by 204035.\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 18190*w**2 - 13*w + 1033779 wrt w?\nAnswer: 36380*w - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of -c**3\/3 - 3*c**2 + 3*c + 3. Let l be x(-6). Suppose l*o = 7 + 8. Is o even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-12)*9454\/489?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2.4, 0, -334, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.87 - -0.16. Let c = 0.03 + z. Let o = c + 0.18. Sort 1\/7, o, -1, -2\/5 in descending order.\nAnswer: 1\/7, -2\/5, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*y + 4*n = 5*n - 8, -3*y + 64*n - 56*n + 13 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*o + 12 = 14*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 2*o - 25, o - 3*f - 4 = 16. Let w be 28 + 3*(1 - 2). What is the highest common factor of w and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*12\/(-15)*(-3700)\/160.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98339207.\nAnswer: 98339207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16358940?\nAnswer: 2, 3, 5, 13, 6991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*f**2*j*l**4 + 2*f**2*l**2 - 9*f**2 + j*l - 2*j - 14 wrt l.\nAnswer: -12*f**2*j*l**3 + 4*f**2*l + j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 20968601+0.032\nAnswer: 20968601.032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j = 4*j + 54. Let z be (-26)\/42 - (-2)\/6. Which is the closest to -0.3? (a) 4 (b) j (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 1 - ((2 - 6) + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.138793 - -0.338793. Let a = 5 + -5.3. Let x = -3 + 3.1. Put r, a, x in decreasing order.\nAnswer: r, x, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 3*y - 37, 0*t = -4*t + 3*y + 193. Let b be -10 - -5 - t\/(-8). Factor 1\/4*j**4 - 1\/2 + b*j**3 + 1\/4*j**2 - 3\/4*j.\nAnswer: (j - 1)*(j + 1)**2*(j + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 + o + 2. Let l(q) = -4*q**2 - 3*q - 6. Let m(u) = -3*d(u) - l(u). Let p(v) be the first derivative of -10*v**2 - 1. What is m(p(i))?\nAnswer: 400*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 473027839 to the power of 1\/2, to the nearest integer?\nAnswer: 21749","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/23)\/t)\/(t*t*t**(2\/13)\/t))\/(t**(-1\/2))**0 assuming t is positive.\nAnswer: t**(-618\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006624901 to 4 dps.\nAnswer: 0.0066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 70, 222, 518, 1006, 1734, 2750?\nAnswer: 4102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 20859649*r - 109874606.\nAnswer: 20859649","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 + 12*c - 7. Let b be y(11). Let o be (b\/(-6))\/(-7 - -5). Which is smaller: o or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -3*j**2 + 1. Let o(y) be the second derivative of -7*y**4\/12 + 3*y**2\/2 + 5*y. Let f(p) = 2*o(p) - 5*r(p). Give f(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of y**2\/2 + 2. Let s(u) be the second derivative of 5*u**4\/12 + u. Determine s(t(x)).\nAnswer: 5*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36416 and 18284246?\nAnswer: 585095872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 1 - 11)*(t**2 + t**2 + 2*t + 0*t) in the form a*t**2 + b*t + c and give b.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.5, -94.8, -3, 5, 0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -4*y - 5*a, 15*y - 11*y = -a + 17. Solve -y*r = -q, r = 66*q - 69*q - 10 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 601179?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2242 + 2315.29. Let g = c + -73. Let q = -0.2887 + g. What is q rounded to three dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -u**5\/2 + 74*u**4 + 540*u**3 + 403*u**2 - 4775*u\/2 - 2325 = 0.\nAnswer: -5, -3, -1, 2, 155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -4. Suppose 3*o - 4*k + l + 5 = 0, -20 = -5*k. Suppose -4*u + 26 = 5*i, -i + 5*u - 3 = 15. Which is smaller: i or o?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6149*u - 9282 = -6422*u for u.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1125*n + 321*n - 49*n = -112*n + 16599 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 459*t + 18. What is the tens digit of y(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 617413 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of 3288895*u**3\/6 + 165*u**2\/2 - u - 27. Let t be j(-27). Round t to the nearest 1000000.\nAnswer: -89000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 2 + 4 + 8*m.\nAnswer: 8*m + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from sscccxeeerersrcfs.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9413482*p - 6*p**3 + 4706691*p + 4706791*p.\nAnswer: -6*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10500198 + 5588732. Let w = -4911466.54999918 - s. Let l = 0.55 + w. What is l rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + 7. Let f(w) = w**2 - 4448 + 4448 - 2*w. Let a be f(-3). Which is greater: a or p?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d - d - 3*d + (d + 4*d - 3*d)*(4 + 4 - 4) + (-2*d + 25*d + 2*d)*(-5 + 0 + 3).\nAnswer: -47*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -6*n - 51. Let z be x(-9). Solve s - 5*y - 15 = 0, z*y = s - 6*s + 19 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 + 41*r**2 + 106*r - 315. Give d(-38).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**(-12\/11)*b*b*b\/(b\/(b\/(b*b**(-2\/11))))*(b\/(b*b**(-2\/7)*b))**(1\/9) assuming b is positive.\nAnswer: b**(1394\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 546703?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 1349*x**3 + 2*x**2 - 1. Let n be c(1). Suppose 0*d = -9*d + n. Is d a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 920 - 968. Suppose 0 = 4*q + p - 19, p - 4 = 5*p. Sort 0.1, q, -2\/7, k in ascending order.\nAnswer: k, -2\/7, 0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 2*n - n)*(1 - n - 1) - n**2 - 2*n**2 + n**2 - 5*n**2 + 12*n - 12*n + (n + 1 - 1)*(8*n + 41 - 41).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 4*q**2 + q**3 - 2*q - 1 - 3*q**2 + 2. Let m be p(-2). Differentiate a - 3 + a + m with respect to a.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lmmolmoojolol. Give prob of picking 2 m.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 308758 <= 308759?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k = -4*k + 858. Let z be (-6)\/k*-2 + 97\/11. Factor -z*r**3 + 2 + 14*r**3 - 2.\nAnswer: 5*r**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 5:53 AM?\nAnswer: 8:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 + 23. Suppose 3*u = 5 - 20, -3*n + 2*u + 91 = 0. Calculate the remainder when n is divided by f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31603 is divided by 129.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 124 and 341.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -7 + (-60)\/(-8)*2\/3. Put h, 39, 0.3 in increasing order.\nAnswer: h, 0.3, 39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 2*f = -15, 4*f - 8 = 4*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 - -28. Calculate the highest common divisor of a and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 + 2*s. Let x be p(-2). Solve -2*w + 2 = c - 0*c, 5*w + 3*c - 5 = x for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -2*o. Let t(j) = -4*j**2 + 2*j**2 + o*j**2. Let i(d) = -6*d. Give i(t(r)).\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/25 and -51\/580.\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 439 = 7*o - 1820, o + 4*n - 303 = 0. Is 18 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 + 3*t + 1. Let x be v(-4). Suppose -x*y = 4*y + 11196. What is the units digit of 3\/((-30)\/y) - 12\/30?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 645373007 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 179.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-6))\/(10\/(-36)) - (-6 - 3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2*j - 13. Let z be v(15). Let r = -39 - z. Find the second derivative of 7*i**4 - 11*i + 18*i**r - 12*i**4 wrt i.\nAnswer: 156*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 962867551 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 k, and 1 m when three letters picked without replacement from kxkkxxkkkmxakkxkx?\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k**3 + 8*k**2 + 1 + 317*k + 34*k**2 + 3 - 40*k**2 to l + i*k**2 + v*k**3 + o*k and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 160*d**5 - 289*d**2 wrt d?\nAnswer: 9600*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 148203.\nAnswer: 592812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*v - 57*v = 3*m, 0 = m + 5. Sort 4, -4, v, 5 in decreasing order.\nAnswer: 5, 4, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.508197 to three dps.\nAnswer: -9.508","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -8. Let b = -43 + 24. Let o = -24 - b. Sort o, n, 3 in decreasing order.\nAnswer: 3, n, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.7 (b) -1 (c) -0.65 (d) -4 (e) 4\/7 (f) 0 (g) -27\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 725*g**2 + 13*g - 28. Let h(f) = -f + 3. Let t(p) = 3*h(p) + x(p). What is the second derivative of t(b) wrt b?\nAnswer: 1450","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28978 + 28970. What is the closest to 15 in -0.5, 3\/8, j, -0.4?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 1014*b + 804. What is the tens digit of h(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.2086 to two decimal places.\nAnswer: 3.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -335*r**2 - 676 + 2470 - 3134*r - 1115 - 763 - 9*r**3 - 596 = 0.\nAnswer: -20, -17, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 3 + 23, -s = -2*o - 19. Let j be ((-4)\/o)\/((-2)\/(-6)). Let i be (1\/(-15))\/(4\/16). Which is greater: j or i?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d - 4. Let p be n(8). Solve 3*h - 7 = 2*g + 3, p*h = 4*g + 12 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -3*b + 14*b - 12*b. Let d(p) = -34*p. Determine n(d(r)).\nAnswer: 34*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 2*h = 50, 2*h + 3 = h. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 - 3*i + 3. Let w be s(2). Does 19 divide -1 - (1 + w) - -22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -359*g - 20580 - 14958 = -3228 for g.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 + 12*z**2 - 11*z + 33. Let j be s(11). Does j = 33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3685281127 take away 5?\nAnswer: -3685281132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.119, 1\/4, 0.6, 3\/23 in decreasing order.\nAnswer: 0.6, 1\/4, 3\/23, -2.119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 127293 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -997 + 957 = 8*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b + 1. Let j(y) = -8*y**2 - 3*y - 3. Let k(m) = m + m - 5*m - 3. Let a be k(0). Let i(c) = a*o(c) - j(c). Let t(s) = 2*s**2. Calculate i(t(w)).\nAnswer: 32*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 + -10. Let p(i) = 5*i - i - i**2 - 6 + l + 3. Let u be p(3). Solve 0*t - t - 4 = u for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -9 + 20 + 21 + 1000*h**2 + 588*h**4 + 1316*h**3 + 304*h = 0.\nAnswer: -1, -2\/3, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 50 + (-1 - -1*1). Suppose -2*n - 2*p - p = -25, n = -3*p + 5. Let l be ((-6)\/12)\/(-1)*n. What is the highest common factor of l and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4652\/7 + 21\/49. Let s be (24 + -2)*y\/5. Let d = s - 1723. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1\/16 - -5\/16. Let c = 100\/3 + -32. What is the third smallest value in 1, c, j?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0333718 rounded to three decimal places?\nAnswer: 0.033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4.29, 5 in decreasing order.\nAnswer: 5, 4.29, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 + 6*n**2. Let u be c(-6). Suppose u = -y + 2*y - 297. Suppose 6203 + y = -q. What is q rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqmxaqkmq. What is prob of picking 1 a and 2 m?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1*1238904\nAnswer: -1238904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 943944 to the power of 1\/2, to the nearest integer?\nAnswer: 972","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.4 + 0.5. Let s = 54.5 + -54. Let x = -0.1 - -4.1. What is the second biggest value in x, z, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -56141, -112152, -168163, -224174, -280185?\nAnswer: -336196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*i**6 - 3*i**6 - 5*i**6 - i**2 + 0*i**6 wrt i.\nAnswer: -960*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13247\/2840 + -14\/355. Find the common denominator of 2\/3 + 122\/60 and u.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 15*f - 85, -49*q + 48*q + 2*f = -13. Let x(c) = -4*c + 22. Give x(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8205 equal to 8206?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and (0 - 2)*(7 + -9).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-4 - (3 + -10)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11\/33*32436\/1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6\/25 of a kilogram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-84)*(18\/18 - 7)?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/(70\/(-12)))\/((-2310)\/(-2200)).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -203102211 (base 5) in base 12?\nAnswer: -341284","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -57 (base 10) to base 9\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 AM and 2:28 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/3 - (-16)\/(-24). Suppose d*j + 3*j = 2*w, 0 = -3*j + 4*w. Solve 2*f - 3*i - 2*i = 25, -f - 5*i - 10 = j for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-33*v**5 + 2*v**3 + 14*v**5 + 0*v**3)*(-1 + 7 - 3)*(146 + 545 + 76).\nAnswer: -43719*v**5 + 4602*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11518 = 63*z + 7094 + 7133 for z.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1205 in 0.0854, -0.3, -0.38?\nAnswer: 0.0854","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-8\/7))**(23\/2)\/((c*c**3*c\/c**5)\/(c**(-3)*c\/c**1)) assuming c is positive.\nAnswer: c**(-113\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 55*u**2 + 14*u**3 - 109*u**2 + 54*u**2 - 256*u**3 + 3*u to the form z*u**2 + s + g*u**3 + y*u and give g.\nAnswer: -242","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.053? (a) -2 (b) 3\/17 (c) -3 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 237592*k**3 + 284218*k wrt k.\nAnswer: 1425552*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 6) in base 12?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 12, -5*o + 4*z - 15 = -37. Let -q - 1 - 1\/4*q**o = 0. What is q?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 l when three letters picked without replacement from {z: 3, l: 5, b: 3}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 84\/108*27\/126*2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 4, 17\/326 in increasing order.\nAnswer: 17\/326, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + -430?\nAnswer: -425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25 - 26)*(2 - 4\/3)*26\/(-52).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5531899 is divided by 691487?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-18) - (-1225)\/(-2205))\/((-2)\/(-18))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -277824.47 - 14?\nAnswer: -277838.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -3*d**3 + 4*d**2. Suppose -4 = 5*m + 6. Let h(q) = q**3 - q**2 - 1. Give m*h(c) - b(c).\nAnswer: c**3 - 2*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 3*j**2 + 11*j + 3. Let g(c) = c**2 + 4*c + 1. Let u(v) = -v**2 - 6*v + 4. Let h be u(-7). Determine h*x(f) + 8*g(f).\nAnswer: -f**2 - f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 5*n - 28. Let v be b(7). Let y(h) = 4*h - 12. Does 6 divide y(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 786 = 47*u + 1311 - 2781 for u.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 202528874.86 rounded to the nearest one hundred thousand?\nAnswer: 202500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-x + 6*x - 3*x)*(-3 + 0 + 1) - 5*x + 2*x - 8*x)*(-x**2 + 2*x - 2*x).\nAnswer: 15*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of -p**6\/120 + p**5\/20 + 7*p**4\/24 - 2*p**3 + 47*p**2. Let c be g(4). Solve c = -3*o + 3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16461 - 16461 - 2*s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 414 and 2737.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2065\/(6 - 1) - 2. Let l = q + -280. Let c = l - 75. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 90) + -214 + 152 + 93?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1220*c**5 - 528*c**5 + 316*c**5 + (-c**2 + 4*c**2 - 2*c**2)*(8 - 8 + 2*c**3).\nAnswer: -1430*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 4:21 PM?\nAnswer: 2:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1783 (base 10) to base 5\nAnswer: 24113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76035 = -383*y - 257*y - 80*y + 35*y for y.\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7735)\/1989 + 1\/(-9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -346549.214 + -0.3?\nAnswer: -346549.514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1282719321?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fifty-five quarters of a gram?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/12 - (-1089)\/36. Let g be 12\/j + 24\/15. Suppose -g*z + 3*z = 4*r + 26, -2*z + 59 = -r. What is the highest common divisor of z and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cyu. What is prob of picking 1 y and 1 c?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -17*d - 4. Let y be b(-2). Suppose 0*s = -10*s + y. What is the units digit of (-1 - (0 + -1)) + -1 + s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 8:26 AM?\nAnswer: 11:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 460126?\nAnswer: 2, 230063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - (1 + -1))\/(130\/(-10)). Put -38, b, -2\/7 in decreasing order.\nAnswer: b, -2\/7, -38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-17*12\/(-6324))\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7888594ng in grams?\nAnswer: 0.0000000007888594","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1715)\/(-105)*1377\/(-918)?\nAnswer: -49\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, -1, -3, -2, -12312.\nAnswer: -12312, -38, -3, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147)*-1*-3 + -2*-1*sqrt(147))**2.\nAnswer: 3675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5 (b) 52 (c) 1 (d) -11.8 (e) -1\/2 (f) -7.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1579.\nAnswer: 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6743 and -16?\nAnswer: 107888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1084.\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 244965912.\nAnswer: 2, 3, 1949, 5237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34 is divided by (28\/(-6))\/(14\/(-21))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -517 (base 13) to base 2\nAnswer: -1101100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4410 - -5663. Calculate the least common multiple of h and 2.\nAnswer: 2506","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5 + (4 + 48 - 15). Calculate the highest common factor of i and 28576.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -184 + 1024 = b. Suppose -f + 171 = -4*y, -4*f + 3*y = -b + 208. Is 12 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 264608370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -41 - -43.6. Let s = 1.904 - -0.096. Which is the third biggest value? (a) -4 (b) s (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 4 = 2*j + 3*r, -5*r + 10 = -5*j. Let o = 78 - 52. Let x = o + -23. Solve x*u + 5 - 2 = j for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x\/((x*x**(1\/4))\/x)*x)**36\/(x**6*x*x*x**3) assuming x is positive.\nAnswer: x**124","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6549 = 18*u - 14*u + z, -3*u = -3*z - 4908. What is the remainder when u is divided by 35?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1007684 and -14.7.\nAnswer: 14812954.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -728\/5203 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + 38. List the prime factors of v.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -1\/12, 1\/9, -4, -54?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -4*w + 5. Let o be x(3). Let v(f) = -58*f - 193. What is the units digit of v(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 66 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-1) - 1 - (4 - 2). Let f = 29 + -26. Let h(g) = 7*g**3 + 4*g**2 - 3*g + 5. Let v(r) = 4*r**3 + 2*r**2 - 2*r + 3. Give f*h(w) + i*v(w).\nAnswer: w**3 + 2*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1 - -3) + 9\/(-6))*-4. Let h be 7\/((-294)\/(-156)) - x\/7. Solve -z = -h*z - 3 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(468) - ((sqrt(468)*-1 - sqrt(468) - sqrt(468) - sqrt(468)) + -2))*3 + (-2 + sqrt(468) + 0 - sqrt(468)) + -5)*-3 + 3)*-2)**2.\nAnswer: -12960*sqrt(13) + 3790944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-204 - 37 + 30 + (-5 + 1 - 3)*(-3 + 5 - 3))*(2*t - t - 3*t).\nAnswer: 408*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67634?\nAnswer: 2, 7, 4831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 140 + -135. Suppose -2*s = -s - 4. Put -1, s, t in decreasing order.\nAnswer: t, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.353*-0.41\nAnswer: -0.14473","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -17, -10, -1, 10, 23?\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5409666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 + 28*(-10)\/(-35) + 0 + -8?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 14) in base 2?\nAnswer: -10010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -3.16\nAnswer: -0.632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 - 19*g**2 + 4. Let a = -25 - -532. Let n = a + -512. Let q(v) = -v**3 + 13*v**2 - 3. Determine n*t(z) - 7*q(z).\nAnswer: 2*z**3 + 4*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-18527)\/11 - 532\/76. Let q = w + 1694. What is the common denominator of -71\/110 and q?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/45 and -0.0422 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 742 - -84.\nAnswer: 826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 423412 (base 5) to base 11\nAnswer: a769","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 432 divide 7048512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12915?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*l + 16*l + 11 = p, 3*l - p - 25 = 0 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 103738 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 minus 4839254727?\nAnswer: -4839254726.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 34 - 32. Put l, 1, -1 in descending order.\nAnswer: l, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 10*d - 456. List the prime factors of d.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 39 - 83. What is the second biggest value in 2, o, 1\/6, -4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 + 4081\nAnswer: 4067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 606 and 0.5.\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + 32*g**2 + 58*g + 349. Calculate the remainder when 10790 is divided by q(34).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -23. Calculate the remainder when 25 is divided by h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1893210, 1893254, 1893298, 1893342?\n\"Answer: 44*y + 1893166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 PM and 6:54 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 30 = -4*l. Let s = 8 + l. Let p(u) = 3 + 1 - 4*u**2 + 5*u - u**3 + s - 3. Determine p(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -441, -2114, -4903, -8808, -13829?\n\"Answer: -558*x**2 + x + 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 222 divide 84609972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y - 1. Let l be 6\/(-15) + 96\/15. Let p = l - 4. Suppose -p = 2*g + 4. Determine r(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47889.\nAnswer: 3, 17, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, e: 1, c: 4, z: 2, w: 8}. What is prob of picking 2 w, 1 e, and 1 z?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122*h = -123*h - 2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2631\/1754*((-3)\/(-3))\/(-48)?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + 3. Suppose 3*i + 15 = 5*y, -x*i = 3*y - 3*i + 10. Solve 8 = s + 4*r, 2*s + r - 4 - 5 = y for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, v: 1, s: 1}. What is prob of sequence qs?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 PM and 9:19 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -19*k - 1. What is the tens digit of h(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*(6\/4)\/((-15)\/40). What is the derivative of -z + 0 - 20*t**4 - 18 - 6 wrt t?\nAnswer: -80*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.66 - -27.3?\nAnswer: 12.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4 - (-29)\/(203\/1722) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 10 (b) 354 (c) 1385 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -q**5\/5 - 29*q**4 + 442*q**3\/5 - 296*q**2\/5 = 0.\nAnswer: -148, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -35*v - 24*v + 49*v. Let w(s) = 8594*s**2 - 4291*s**2 - 4291*s**2. Calculate k(w(n)).\nAnswer: -120*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.2, 22, -4, -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 220303 (base 4) to base 12.\nAnswer: 1617","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + 0. Let y = 2\/615 - -611\/1230. Which is the smallest value? (a) 5 (b) r (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m + 9. Let s be n(-8). Let f = 10 + s. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 278 by -1.\nAnswer: -278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8239476149 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of 1\/12*y**4 - 4 - 6*y + 0*y**2 + 0*y**3. Let s(q) be the first derivative of h(q). Let n(m) = -4*m. Calculate n(s(l)).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 3*w + 2*w + 34748283 = 0, -2*w = 6. Let j = t + -61882756. Round j to the nearest one million.\nAnswer: -50000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3923 (base 10) to base 8\nAnswer: 7523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -268159*l - 268193. Calculate g(-1).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1995709?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 84153071, 168306143, 252459213, 336612281?\n\"Answer: -h**2 + 84153075*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 2 + 17 + (-45 - -20) + 4?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (((-3)\/(-7))\/(51\/714))\/46\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of -z**3\/9 + 1375*z**2\/3 - 1890625*z\/3 + 9276. Factor y(x).\nAnswer: -(x - 1375)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5, 15, 33, 59, 93?\n\"Answer: 4*h**2 - 2*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4246.\nAnswer: 2, 11, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (-3 + 9 + 0 - (-18 + 27))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is d89 (base 14) in base 11?\nAnswer: 2007","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaa when three letters picked without replacement from caaaaaaaacaaac.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 31.65079?\nAnswer: 158.25395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4269 or -4278?\nAnswer: -4269","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7.5 - 7.49447. Round o to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/((-8)\/(-3))*(-48)\/(-18). Let v(g) = 1221*g + 16. Let o be v(b). What is o rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -6*z**3 + 4*z**2 + 4*z + 1. What is f(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-6)*d**4)**20 assuming d is positive.\nAnswer: d**(-40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (47922 + 3108*h - 47922)*(-4*h + 9*h - 2*h + 2) as k*h**2 + c*h + z and give k.\nAnswer: 9324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 501.825449 rounded to the nearest ten?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) 1131 (c) -2\/3 (d) 0.3 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -120.19 - -120.5. Let u = -26.21 - -26. Let l = u + p. Which is the nearest to -2? (a) l (b) -1\/3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12097.145 * -0.032\nAnswer: 387.10864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.047, 10, -2\/3?\nAnswer: -0.047","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 47771 take away 132888?\nAnswer: -85117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/10 of a tonne?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -29, -52, -91, -146?\n\"Answer: -8*g**2 + g - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27\/65 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (4 - 5) + 9 + (-8 - -14).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1097262539 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let q = -1510501 - -2818692. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 316 and 49026294?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11451674 is divided by 3817213.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((-16)\/(-6))*8\/6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2732 (base 8) to base 12\nAnswer: -a4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mlmindnmwnwlnidd. What is prob of sequence nlm?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 19 = 3*o, -2*o = -a - 3*a + 14. Suppose 3*l + 3*t = 6, -l - 4*t + 3 = -a. Let g be l\/(4*2\/8). Let h(c) = c + 8. What is h(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 1089 = 2*f - 84, -3*f + 5*q = -1762. What are the prime factors of f?\nAnswer: 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9 times -20.0205?\nAnswer: 18.01845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 39*g**3 + 232*g**2 - 12*g. Let k(b) = -77*b**3 - 464*b**2 + 27*b. Let p(l) = -4*k(l) - 9*w(l). What is the third derivative of p(z) wrt z?\nAnswer: -258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -584*b + 13263 = -3444*b - 21057 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.71 rounded to 1 dp?\nAnswer: -14.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/138709 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8534842 to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1545*x**3 + 10*x**4 - 1547*x**3 + 3103*x**3 + (-x + x + x)*(-3 + x**3 + 3) to the form u*x**4 + r*x + f + q*x**3 + l*x**2 and give u.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of u**4 - u**3 - 41*u**2 + 34576*u - 5976981.\nAnswer: 4*u**3 - 3*u**2 - 82*u + 34576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/((-18)\/(-76)) + 22\/(-33). Let f be 10\/27*6 + m\/(-54). What is the units digit of f\/(-5) - 335\/(-25)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -675, -1182, -1689, -2196, -2703?\n\"Answer: -507*j - 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3392 + 3358. What is the fifth smallest value in 2\/7, 5, -0.4, t, -0.09?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -501 + 503. What is the third biggest value in n, 12, 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -7 (b) -2\/5 (c) 1\/2 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*t**2 - 7*t**5 + t + 5*t**5 + 10 + 2*t wrt t?\nAnswer: -40*t**3 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 254845?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, b: 3, k: 8, n: 3, q: 4}. Give prob of picking 2 b and 1 n.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -154\/1033705?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -1623*w - 26632. What is q(-16)?\nAnswer: -664","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-5)*1*5. Solve 4*d = z*d - 5*p + 4, -5 = 5*d + 5*p for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -144.3 - -137. Let z = n - -7. Let d = -11 - -10.6. Which is the nearest to -2\/13? (a) z (b) -4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k**3 + 2*k**3 - 7*k**3)*(3*k - 5*k - k) + (-19 + 19 - 3*k**3)*(-5 + 5 + 2*k).\nAnswer: 21*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 AM and 4:40 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = -5*m + 3803 - 7521 + 3772, 32 = 10*x + 2*m for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wysi when four letters picked without replacement from hsihhhyywyiihh.\nAnswer: 3\/8008","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-28 - (-19 + -4 + -6)) + -20\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 7 = -y, 0 = -w + 3*y - 0*y + 11. Let f(v) = v**2 + 9*v + 12. Let m be f(-8). Suppose 0*c = 2*c - m. Solve c*q + 6 - w = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4483 and 0.5301.\nAnswer: 4483.5301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 11:05 PM?\nAnswer: 3:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -60, -5, 2 in decreasing order.\nAnswer: 2, -5, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1 - -0.4. Let a = 2.025 - 0.025. What is the nearest to a in 0.2, w, 0.1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3*(0 + (-10)\/(-6)). Let s = 8 + f. Suppose -s*n = -0*n. Which is the smallest value? (a) -5 (b) -1 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/28 and -85\/40993424?\nAnswer: 286953968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3092*l + 6944 = -2658*l for l.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6996 - 6992. Which is the nearest to -0.3? (a) -3\/2 (b) -0.4 (c) i (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1869, 189, 13 in decreasing order.\nAnswer: 189, 13, 2, -1869","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 434 + 138*t - 434 + (0 - 1 + 0)*(t - 3*t + t) - 2*t + 5*t - t + (-3 + 3 - 1)*(3 + t - 3).\nAnswer: 140*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u. Let i(f) = 20*f + 166*f - 46*f + 38*f. Determine d(i(l)).\nAnswer: 356*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**5\/a**5)\/(a**0\/a**(3\/5)))\/(((a*a*a*a**3)\/(a**1\/a))\/(a**(1\/3)*a\/(a*a*a**(5\/4)*a))) assuming a is positive.\nAnswer: a**(-499\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from srmnfwrw. What is prob of sequence fs?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 220*p - 7. Let q be v(2). Suppose -2*g - 2*i + 178 = 0, -9*i + 8*i = -5*g + q. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 284*k. Let u(y) = 289*y**2 - 3*y - 4. Calculate u(r(m)).\nAnswer: 23309584*m**2 - 852*m - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 - 4*y - 5. Let o be s(5). Suppose -4*x - 24 + 8 = o, -3*f - x = 4200004. What is f rounded to the nearest 100000?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 11*n - 4. Let u be c(2). Suppose 2*v = u - 0. Solve 3*f = -3*d + v, 8 = -d + 3*f - 1 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6792637*t**3 + 2653935*t - 3 wrt t?\nAnswer: 40755822*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -5*y + 6. Let c(p) = 123 - p - 56 - 66. Give 6*c(d) - i(d).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -491*u + 0*u**3 + 6*u**3 + 4*u**3 - 12*u**3 + 3*u**3.\nAnswer: u**3 - 491*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 52119563 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2503\/324 + 31\/4. Let q(f) = f - 6. Let j be q(5). Let n be 2 + j + (2 - 2). Which is greater: t or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-1)*30\/3. Let c = g + -5. Solve t = -c + 1 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -58 divided by -58\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2880*h - 5*h**3 - 2871*h - 2*h**3.\nAnswer: -7*h**3 + 9*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 792 and 891.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4634217 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118*s - s + 59*s.\nAnswer: -60*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of i**5\/10 - 11*i**4\/12 - 2*i**3\/3 - i**2 - 15*i. Calculate the remainder when 25 is divided by t(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 207889 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -266*v + 263*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 PM and 5:54 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 758 + -891. Let j = a - -132.5. Let l = -0.01 - 1.99. Sort l, 0.4, 1\/2, j in increasing order.\nAnswer: l, j, 0.4, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 897429088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.08 from -12561613762.6.\nAnswer: -12561613762.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111110110001 + 101010?\nAnswer: 1111111011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - p = -5*n - 23, 2*n + 22 = 2*p. Let a be 380\/6 - (-8)\/12. What is the highest common factor of a and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2915460?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -360*g - 8793 = 617*g for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.90164285 minus 20784?\nAnswer: -20779.09835715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 1339 = -s, 3*s = -2*k + 4876 - 867. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -11 + (26 - (-55 + 12 - 17))?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 700 and 905000.\nAnswer: 6335000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 24*f**2. Let m(l) be the second derivative of l**4\/4 - 2*l**3 - 10957*l. What is m(b(a))?\nAnswer: 1728*a**4 - 288*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 21 = -5*a, 2*a - 4 = -0*g + 3*g. Suppose -3*u = -4*u + 4*o + 19, g*o - 1 = -u. Suppose 2*f = -3 + u. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16679105 to the nearest integer?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 6*c**2 - 8*c - 8. Let w(k) = -4*k**2 + 5*k + 5. Suppose g - 2*g + 5 = 0. What is g*x(i) + 8*w(i)?\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 4 = -5*f + 67, 4*f = 2*w + 56. Solve s - 1 = -n, -4*n = -1 + f for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 + 25*g**2 - 22*g - 59. Calculate s(24).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29\/(870\/(-50))*(-23)\/(10120\/(-72)).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -0.059\nAnswer: -0.0118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hyhttcyhicch. Give prob of sequence iy.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2299*k**2 + 2298*k**2 - 4 + 0 - 4*k to t + l*k + g*k**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (3 - (1 - (-4 + 3)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 693406841?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 299067649 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-4)*v\/v**(3\/4)*v)\/(v**(1\/4)*v*v\/(v*v\/v**7))*(v*v**(-5)*v*v**(3\/5))\/(v\/v**0)**(2\/37) assuming v is positive.\nAnswer: v**(-2304\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1088922835 divided by 217784567\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, -85, -4 in ascending order.\nAnswer: -85, -4, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0*(-4 + (-21)\/(-7)). Let b be 2\/8 - 7\/(-4). Solve o = 2*j - b - 8 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 1463456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4284 divided by -2\nAnswer: -2142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) 0.3 (c) -2\/15 (d) -437 (e) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 0 - 9. Suppose -40 = -z*k + k. Is 11 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - -35 - (-3 + 3). Let a = -22 + f. List the prime factors of a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 2706?\nAnswer: 5412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 8*z**2 - 24*z + 27. What is r(0)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45 is divided by 27.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/(c**(-11\/4)\/c*c)*c**(1\/10)\/c*c*c)\/((c\/(c*c**15*c))\/c**(-3\/2)))**(4\/3) assuming c is positive.\nAnswer: c**(407\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0037195 rounded to 5 decimal places?\nAnswer: 0.00372","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 + 10*u. Let v(w) = w. Let o(z) = 5*v(z) - x(z). Let r be o(-5). Let t be 573\/(-764)*16\/822. Is r != t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 77, 87, 0, -10, -5, 3 in increasing order.\nAnswer: -10, -5, 0, 3, 77, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 - 31*l**2 - 3*l + 42. Let a = 129 - 160. Does 45 divide c(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 1259761\nAnswer: -4\/1259761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of -x**3\/6 - x**2\/2 - 82*x + 3. Let z(j) = 5*j + 7. Let y(r) = -r + 1. Let i be y(2). Determine i*z(a) - 6*o(a).\nAnswer: a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0259 - -0.0089. What is the smallest value in 0.2, h, 0.3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/45551 and 13\/14199489.\nAnswer: 156194379","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 426 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of -92525 and 3287.\nAnswer: -89238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 241*k**2 - 71*k**2 + 8 - 81*k**2 - 6*k - 74*k**2. List the prime factors of v(-4).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17144, 26644, 36166, 45710?\nAnswer: 55276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -337 + 160. Let p = 35 - 37. What is the hundreds digit of h\/(p\/(-8)*-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26 + -24. Let f = -151 + 306. Let p = 155 - f. Solve 0 = 4*d - 2*c - c - a, 5*d + 4*c - 18 = p for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*f = -181 - 53. What are the prime factors of (f + 10 + 2075)*2\/4?\nAnswer: 2, 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*c + 0*c - 3*c - 126 + 73*c + 126 + (-4 - 1 + 6)*(-c - c + 0*c) - c + 0*c + 0*c.\nAnswer: 71*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 88a50b (base 16) to base 3\nAnswer: 121211222011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 62\/4785 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*l**3 - 92*l**3 - 110*l**3 + (1 - l - 1)*(2*l**2 + 2*l**2 - 2*l**2) - 3*l - l**3 + 3*l as c*l**2 + y + d*l**3 + o*l and give d.\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 645239.\nAnswer: 7, 92177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = h + 80968, q - 6*q + 404912 = 4*h. What are the prime factors of q?\nAnswer: 2, 3, 7, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -5*i**2 - 3*i - 1. Let v(f) = 11*f**2 + 5*f + 1. Let t = -6 + 17. Let q(j) = -j + 4. Let o be q(t). Let s(w) = o*h(w) - 3*v(w). Factor s(x).\nAnswer: 2*(x + 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22022 and 30706?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 560?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.42+-2359.08283456\nAnswer: -2359.50283456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**2 - 30*s + 3*s**2 + 34*s + 3 = 0. What is s?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 485 (base 9) to base 14\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in three fifths of a tonne?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**4 + 2*b**2 - 2*b**2 + (-3526*b**3 - 8158*b + 8158*b)*(3*b + b - b).\nAnswer: -10577*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -248259*n**2 + 248255*n**2 + 3*n - 3*n.\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*k = -25*k + 120. Are -11 and k nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*q + 48 = -19*q. Let s be q\/8*4\/3. Is s <= -5\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 20*q**2 + 2*q + 1. What is the remainder when 169 is divided by i(-1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 3*r**2)*(63 - 63 - 2*r**2) + (6*r**3 + r**3 - 4*r**3)*(-3 + 3 - r).\nAnswer: -9*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4399, 4404, 4409, 4414, 4419?\n\"Answer: 5*h + 4394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-342)\/(-3008) - ((-37206)\/(-423) + -88)\nAnswer: 5\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 423 - 594. Let b = i - -1193\/7. What is the third smallest value in -4, 2, b, 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22.171 - 0.171. Let w = 59 - 82. Let d = w + a. Do 9 and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/3))**(2\/35)*(r\/(r*r*r**(8\/5)*r))\/r*r*(r*r**(8\/11))\/r*r assuming r is positive.\nAnswer: r**(-437\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-11)\/8 + ((-122)\/16 - -8). Sort x, 840, -3 in descending order.\nAnswer: 840, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -714*y. Let f(q) = 103*q. Let b(g) = -34*f(g) - 5*l(g). Let v(z) = 45*z. Calculate 5*b(j) - 8*v(j).\nAnswer: -20*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 196380 and 25380?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 88512.75t in kilograms?\nAnswer: 88512750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of 0*m**2 + 0*m**3 - m + 0 - 1\/6*m**4. Let n(a) be the first derivative of -a**3\/3 + 188. Calculate o(n(l)).\nAnswer: -2*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/7528 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 + -4 + -1 + 3\/(-3). Let b be ((-28)\/35)\/(h\/5). What is c in -3\/5*c**3 + 0 + 3\/5*c + 3\/5*c**4 - 3\/5*c**b = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-38)\/133*7\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= 3\/69584?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 112 + 488 = 0. Is m a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-37)\/54)\/((-2)\/6) and 131\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pjupjzvgv. What is prob of picking 1 g, 1 u, and 2 p?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 523049 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 3 - (1 - (4 - 5))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -481.3 - -461. Let q = l - -20. What is the third biggest value in -10, q, 5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/10)\/((572\/8)\/(-13)).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10144 (base 5) to base 9.\nAnswer: -828","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*x + 4*i, i + 4*i = -2*x - 9. Let r(s) = -s**2 + 4*s - 1. Let c be r(x). Calculate the highest common factor of c and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -9*x + 3. Let y be b(-1). Let z(u) = 3 - 3 + 18*u. Let p be z(1). Calculate the greatest common factor of p and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 782103556 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 68482?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3\/2, -1\/7, 652?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-260)\/91*1)\/((-6)\/(-21)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.96 + -1. Let c = 3.225 + -0.245. Let j = c + 0.02. Sort j, o, 4 in increasing order.\nAnswer: o, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i = 3*i - i - 16*i - 1180 for i.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -383.22 - -0.22. Let u = -383.000000241 - h. Round u to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.1 and 1841 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15528 and 714748664?\nAnswer: 5176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - o + 109670 + 5010, 4*o = -5*m + 114665. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 265239135 a multiple of 445?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s + 3. Let h(f) = 13*f - 22. Let j(n) = -h(n) + 6*w(n). Let y be j(35). Solve 0 = y*v - 2*t + 20, -5*v + 3*t - 23 + 3 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - m - 5*r + 67, -5*m - 2*r + 178 = 0. Find the common denominator of 225\/m - (-2)\/(-4) and 69\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8378262 milligrams in kilograms?\nAnswer: 0.0000008378262","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6935830 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 4*b + 8. Let c(s) = s**3 + 6*s**2 - 3*s - 11. Let u be c(-6). Give i(u).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iz when two letters picked without replacement from iijjzizzsjzisj.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a = 24*a - 522364 - 505700. List the prime factors of a.\nAnswer: 2, 3, 10709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 45096 and 102.\nAnswer: 766632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 36 = 5*h - 9, -4*h + 42 = -2*a. Suppose -4*g + h*g = 4*i + 12, -5*i = g + 3. What is the highest common factor of 5 and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -226*z - 1370. Give a(-7).\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 271 + 296. Solve -12 = 2*a + b*t - 2, a = 5*t - 5 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of -93*o**6\/10 + 16*o**4\/3 - o**3\/6 + 140*o. Find the third derivative of q(s) wrt s.\nAnswer: -6696*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/155?\nAnswer: -2\/155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 - 9*u**2 - 7*u - 13. Let j be w(-7). Let d = j - -65. Factor -d*c**4 - 4*c - 5*c**2 + 6*c**3 - 2*c + 8*c**2.\nAnswer: -3*c*(c - 2)*(c - 1)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -4*b**2 - 2*b - 3. Let m(f) = 3*f**2 + f + 2. Let d(i) = 3*m(i) + 2*x(i). Suppose -4*k - 743 = -739. What is d(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16030 - 3605. Is 88 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -67*6*(-1 + 2\/3) is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004794991 to six dps.\nAnswer: -0.000048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (33\/(-55))\/((-8)\/(-10)). Let x be -2 - (0 + 60\/(-27)). Let z be 4\/(-6) + 8\/6. Put x, z, d in decreasing order.\nAnswer: z, x, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 12*f - 143 = 0. Let f*p**2 + 6*p**3 + 12 - 6*p**4 + 4*p**4 + p**2 - 22*p - 8*p**2 = 0. Calculate p.\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + k + 3)*(2 - 3 - 3)*(-k**2 + 2*k**2 + 0*k**2 - 7132*k + 7132*k - 318*k**2 + (-3*k + 2 - 2)*(-k + 1 - 1)) to b + s*k**3 + c*k**2 + m*k and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 315103\/50202 + 3\/2789. Find the common denominator of (-129)\/52 - (-18)\/6 and d.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = 25*z + 31 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 49*x**3 + 6*x**2 + 49*x + 6. Let z(k) = k**3 + k**2 + 1. Let j(t) = -r(t) + 6*z(t). Find the second derivative of j(q) wrt q.\nAnswer: -258*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f**2 + f - 1. Let y(u) = -u**2 + 2*u + 8. Let d be y(4). Suppose 2*a - 3*p + 0*p + 10 = d, 3*p - 15 = -3*a. Give o(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - -5. Let i = x - 8. What is the third derivative of y**i + y**6 - y**4 + y**4 + y**2 wrt y?\nAnswer: 120*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4812*(68\/(-8))\/((-6)\/4). Let w = v - -981793\/36. Calculate the common denominator of -67\/64 and w.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 973664 and 46.\nAnswer: 22394272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5941*k - 6070*k - 4128 = 0 for k.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 798044266 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 47.9 - 50. Let x = d - -0.1. Let o = 0.06 - 0.26. Put o, x, -1\/3 in ascending order.\nAnswer: x, -1\/3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 30*c**2 + 55*c + 5. Let s(r) = 60*r**2 + 94*r + 10. Let b(g) = 5*i(g) - 3*s(g). Let o(t) = -15*t**2 - 4*t - 3. Determine -4*b(m) + 7*o(m).\nAnswer: 15*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1751688 is divided by 55?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 PM and 5:34 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 51 and 408.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 422*o**2 - 2*o + 9*o - 7*o - 65 + 64 in the form c*o**2 + i + d*o and give c.\nAnswer: 422","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/186 and 51\/682?\nAnswer: 2046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -687, -1311, -1935, -2559, -3183, -3807?\n\"Answer: -624*f - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 56 - 13*p**2 - 5 + 0*p**3 - 29 - p**3 - p. What is the smallest common multiple of o(-13) and 40?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2197 * 2\nAnswer: -4394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bootrme. Give prob of sequence er.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 - 7*y**2 - 9*y - 15. Let r be c(-6). What is the common denominator of 4\/r*6 + 4 and (-2)\/(-14)*-3*6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 5 - 2 = 0. Let a(y) = -y**3. Let b(q) be the first derivative of -q**2 + 142 - 2*q + 0*q**3 - 1\/4*q**4. Give c*a(v) - b(v).\nAnswer: 2*v**3 + 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11158087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -562206, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 498 - 64 = 0. Let -35 - 60*c - 45*c**2 - 5*c**3 - s*c + 47*c = 0. What is c?\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/3*(-2 + 1\/2). Let d = -19 - -59. Suppose -5*w + 5*x + d = 0, 0 = w + c*x - 0*x - 8. Solve 0 - w = 2*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2\/219 - -661\/438. Let m(d) = -5*d**3. Let f be m(-1). Let p be 50\/(-16)*(-2)\/f. What is the third biggest value in 3, h, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28596 and 114?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 5*j - 106, -4*h - 131 + 33 = 2*j. Let y = h + 22. Put y, -2, 5, 1 in descending order.\nAnswer: 5, 1, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -307*f**2 + f - 5. Let u(k) = 54*k. Let o(l) = 5*l. Let d(g) = -11*o(g) + u(g). Give d(b(t)).\nAnswer: 307*t**2 - t + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 635 and 114427.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7 + 4)*4\/(-6). Suppose -j*i = -0*i - 6. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/26)\/(9495\/(-130) - -73) + 100\/13?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/15 of a day in seconds?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 305*h - 1078*h + 58200 = 1167*h for h.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1234780968.\nAnswer: 2, 3, 19, 2707853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4029 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 1. Let d(k) be the third derivative of k**5\/60 + k**4\/24 + 14*k**2. Is d(z) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12 + -1152?\nAnswer: -1204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-2 - -2) + (-6)\/18)*(-3813)\/(-9922) and -95\/2?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*t**3 - 2699*t**2 + 61*t + 16438604?\nAnswer: -15*t**2 - 5398*t + 61","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p + 12. Let a be g(10). What is the units digit of -2*(a - 42\/4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1052520 and 1320?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -14*h + 3. Suppose 0 = 9*x - 4*x + 15. Let f be a(x). Suppose 4*z - 3*v - 5 = 0, -4*z - 8*v + f = -3*v. Solve -4*i + 21 = z for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h**2 - 597*h - 6*h**2 - 606*h + 1789*h - 586*h.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s - 12. Let m be y(6). Suppose n + 2*h - 17 = m, 4*n - 4*h = -7*h + 88. Let t = n + 176. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22 - -24. Let i(z) be the second derivative of 0 + z + 1\/20*z**5 + 0*z**4 + 1\/2*z**2 + 0*z**3. Determine i(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(25\/550*11).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (2 - 10) - 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - -2. Suppose a + u = 0, -4*f - 2*a + 16 = -0*f. Suppose -3*j = -f*j + 36. Is j a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.1 and 0.105582 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 324 and 134562708.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4109*2.09.\nAnswer: 8587.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000299868 rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 28387 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 78061 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000208703 rounded to 7 decimal places?\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7865*n - 7853*n + 15716*n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 3*k. Let b = 1776 - 751. Let s(p) = -b + 1025 + 7*p. What is s(d(g))?\nAnswer: 21*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1378 - -4980. What are the prime factors of g?\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -48 - -51. Let j be -1*(-3)\/b - -31. Find the first derivative of -20*x**3 - j*x**3 + 2 + 1 + 64*x**3 wrt x.\nAnswer: 36*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 - 2*c**2 + 16*c - 87. Let f be o(7). Let j = f - -578. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 66012144*o*s**2*t**3*x**2 - 12*o*t**3*x**2 + 788*s*x**2 - t**3*x**2 + 1772*t*x**2 wrt s.\nAnswer: 132024288*o*t**3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1638*d**2 + 2*d + 8*d - 826*d**2 - 808*d**2.\nAnswer: 4*d**2 + 10*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 2 = 16. Let l be (-2484)\/(-32) + 3 + 15\/40. Calculate the greatest common divisor of j and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 7*f - 10*f - 3*j, j = -4. Solve 0 = 2*w, f = 5*g - 2*w + 15 + 10 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 24*x + 174. Let l be g(-7). Solve 3*o = -3*i, i - 4*i = 5*o + l for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.044 + 1.956. What is the nearest to -0.06 in -0.2, 1, j?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**2*r)**(1\/34)*(r*r**(2\/67)*r*r*r)\/r**20)**(-28) assuming r is positive.\nAnswer: r**(29960\/67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q**(2\/9))*q*q\/((q**(8\/11)*q)\/q))\/(q*q**(-13)*q)**30)**(-20\/3) assuming q is positive.\nAnswer: q**(-655480\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of -y**8\/6720 - y**5\/30 + 7*y**4\/24 - 17*y**2. Let r(l) be the second derivative of i(l). What is r(0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 875011 a multiple of 126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -33724 + 199494. What is k rounded to the nearest 10000?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-4))\/(72\/32)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, d: 2, x: 1}. What is prob of picking 2 i?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p, 4 = 4*w - 0*p - p. Suppose 8*c - 4*c = -5*b + 30, 3*c + 2*b = 19. Sort 2, w, c in decreasing order.\nAnswer: c, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -54 greater than -270?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7074?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 = b + 2*z - z, 0 = z + 2. Is b even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 8 = -5*l + 11, -m = 2*l - 7. Suppose 0 = -2*s + 2*r + 119 - 41, -l*r + 54 = s. What are the prime factors of s?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/21, -1\/3, 3, -0.02, -22 in decreasing order.\nAnswer: 3, 2\/21, -0.02, -1\/3, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {e: 3, k: 4}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*d + 32*d = 16, -18698 = -2*t - 5*d. Does 24 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -4 (b) 18 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 234010202 (base 5) to base 4.\nAnswer: 10013120102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 74\/207 and -143\/138?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71 is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 PM and 1:18 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/155290 and 123\/1060?\nAnswer: 310580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -247*a + 680*a + 348*a.\nAnswer: 781*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 6*m - 20. Let r be f(4). Let w(k) be the third derivative of 0*k**r + 0*k**3 + 0*k**5 + 3*k**2 + 0 + 0*k - 1\/60*k**6. Determine g so that w(g) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-2*((-1 + sqrt(567))**2 - sqrt(7) - sqrt(7))*-2 + -1.\nAnswer: -9089 + 320*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/8 of a decade?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/(-3)*6\/(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, h: 1, g: 1, x: 2, d: 2}. What is prob of picking 2 x and 1 h?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - n - 13 = 1, n + 10 = -3*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 93856?\nAnswer: 93856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 PM and 12:17 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of m**5\/20 - m**4\/2 + 2*m**3\/3 + 5*m**2\/2 + m. Let o be r(5). Solve 2*f + t + 4 = o, -5*f - 3*t = 2 + 10 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*k + k. Let b be (1\/(-2))\/((-2)\/8). Suppose -45 = -y - 2*y. Solve b*w + k*w = y for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -14 + 3180\/(-24)*-110. Are 14560 and k unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 2*f = 16. Suppose -f*h = 2*x - 6, -4*h + 2*x = 3*x - 3. Let k(v) = -v**2 + 6*v - 4. Let n be k(4). Solve h = n*a + 5 + 7, -y = -3*a - 5 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nr when two letters picked without replacement from {r: 5, f: 2, n: 4, i: 4}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18837569 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.6 (b) 1\/3 (c) 2\/5 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/1166 and 7\/44.\nAnswer: 2332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -61 by -2.\nAnswer: 61\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 9 - 3. Let x(y) = 6*y - 3. Let b be x(z). Does 12 divide (-670)\/b*6\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/3, -4\/7, -4, 4\/7, 11?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 + 3*a**2 + 33*a + 63. Let w be p(-2). Let q(b) = b + 5. Let c be q(-5). Suppose c = -6*u + 3*u + 9. Solve -w = u*t + 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 - 11*z + 3. Calculate n(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 124 divided by 1\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 395453387 + -395453257.0000186. Let a = 130 - j. What is a rounded to 6 decimal places?\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m - 23. Give z(0).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 32960, 131652, 296138, 526418, 822492?\n\"Answer: 32897*k**2 + k + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a + 9. Let l be j(-9). Let p = -4 - l. Let y(v) = p*v**2 + 0*v**2 - 2*v**2. Let o(k) = -4*k. Give o(y(w)).\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/171223 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(18)*-3)\/(2*sqrt(486)).\nAnswer: -sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 811 divided by 8?\nAnswer: 811\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6003 and 24.\nAnswer: 48024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -16, -33, -56, -85, -120, -161?\nAnswer: -208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 302 = -48. Let f = 425 + u. Suppose -2*b + f = -534. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n + n**4 + 0*n + (-2*n**2 + 2*n**2 - n**3)*(4*n - 6*n + n) + 6*n**4 - 2*n + 2*n + (3*n**4 - n**4 + 0*n**4)*(0 + 2 - 3).\nAnswer: 6*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 15 = -19*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 180*v**2 - 4803*v. Let c(b) = -12*b**2. Determine q(c(t)).\nAnswer: 25920*t**4 + 57636*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99 = 2*u - 97, -16 = 2*w + 4*u for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-480)\/2940*133\/(-228)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13981835?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1466 < 1466?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30835 - 30829. Solve -1 = 14*f - 15*f, -3*f + l = r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 293 - 1433. Which is smaller: u or -286?\nAnswer: -286","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 times -263.6?\nAnswer: -1581.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133*b + 114443 = 1536346. What is the thousands digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.56*297.6372.\nAnswer: -761.951232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*q + 20*q + 192 = 0. What is the remainder when 667 is divided by q?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 461772, 461605, 461328, 460941, 460444, 459837, 459120?\n\"Answer: -55*v**2 - 2*v + 461829","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in -3, -44.17, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -380*z - 25*z**3 + 210*z**2 + 731*z**4 + 725*z**4 - 1461*z**4 + 35 + 135 + 30 = 0.\nAnswer: -10, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h - 5. Let d be n(-13). Is (d\/4)\/(4\/16) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z**2 - 11736*z - 46992 = 0 for z.\nAnswer: -4, 3916","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of 0*v**2 + 3 + 0*v**3 - 1\/16*v**4 + 0*v + 1\/20*v**5. What is g in z(g) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -433.5 + 432.5. Let u = -0.01 - -7.01. Which is the second smallest value? (a) 4\/3 (b) o (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-3))\/(2*6\/(-126)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0591 times -0.2?\nAnswer: -0.01182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3085*x**3 - 6785*x**3 - 2 + 3435*x**3 + 2*x**4 to the form f*x**2 + b*x + a + v*x**3 + m*x**4 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 713, 1008, 1309, 1616?\n\"Answer: 3*b**2 + 286*b + 424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1024*k - 9283 + 62555 = -14312 for k.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of -5*j**8\/84 - 76*j**7\/105 - 89*j**6\/30 - 68*j**5\/15 + 2*j**4\/3 + 32*j**3\/3 - 501*j**2. Solve q(l) = 0 for l.\nAnswer: -4, -2, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j - 1. Let d(x) = 3*x + 3. Let v(w) = -d(w) + 2*o(w). Suppose -15*m - 91 = -1. Calculate v(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 131 (base 16) to base 3.\nAnswer: 102022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 279825 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4521292 and 25660.\nAnswer: 5132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 11\/4 of a milligram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 649939392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 4*n + 18, z + 5*n = 3*z - 20. Let r be -6*(40\/(-12))\/z. Solve -r*q + 17 = o + 2, 15 = 2*q - o for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34 - 35 - 61*z**2 + 69)*(218*z**2 - 154*z**2 + 175*z**2).\nAnswer: -14579*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-24)\/20)\/(3\/(-5)) - -2. Solve 3*y - 5*y - o = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a centimeter in micrometers?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -23059, -45084, -67109, -89134, -111159?\n\"Answer: -22025*w - 1034","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1021 + -1322320?\nAnswer: -1330001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/(2 + 1 - (0 - -1)). Let a be 6\/9 - m\/(-3). Find the third derivative of -36*b**6 - 13*b**6 - 12*b**2 - 7*b**a wrt b.\nAnswer: -5880*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of d**4\/12 + d**3\/2 + 3*d**2\/2 + 64310*d. Suppose 5*z - 5 - 5 = 0. Let b(g) = -g**2 + g + 1. What is z*x(h) - 6*b(h)?\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i and 1 b when four letters picked without replacement from {i: 5, l: 5, b: 2}.\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -5*j**3 + 2*j**2 + 2*j + 3. What is the remainder when n(-2) is divided by (-2)\/(-2) + (5 - -19)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -404, -1539, -3422, -6065, -9480, -13679?\nAnswer: -18674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -450004 - 1305?\nAnswer: -451313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 3)*(10 - 10 - 49*j**2 + 1134*j**2).\nAnswer: 2170*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 37. Does 3 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 + 0.3. Let w = t - 0.2. Let u = 3.3 + -3.4. What is the closest to u in w, 3, 4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 254 + -195. Find the third derivative of 56*i**6 + 9 + 116*i**2 - 50*i**2 - r*i**2 wrt i.\nAnswer: 6720*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3, 0.7, -0.5, 3.8?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.055 and 8.88893.\nAnswer: -0.48889115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 PM and 11:05 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**2 - 11532*u - 11082252.\nAnswer: -3*(u + 1922)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 232 - 72?\nAnswer: 1a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(126)*-1*-3)\/(3*-4*sqrt(7)).\nAnswer: -3*sqrt(2)\/4 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23029.3 - 22116. Let z = r - 1037. Let i = 125 + z. Sort 0, 0.5, i.\nAnswer: 0, 0.5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.9967 millimeters to kilometers.\nAnswer: 0.0000059967","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 5.5\nAnswer: 27.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000057791185 to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000824527 to 5 decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-1*(-2)\/(-4)). Suppose -2*o - 2 = -x. Find the first derivative of 4*j + 0*j**o - 4*j + 2*j**3 - 2 wrt j.\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57018.33 months to years.\nAnswer: 4751.5275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -0*c + n - 429, 0 = -3*c - 2*n + 328. What is the remainder when c is divided by 55?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2006 a factor of 276316470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -59*t + 24. Let d be a(-4). Suppose 5*c = -0*c - 3*h + 26, 0 = -h - 3. Suppose -c*v + d = -3*v. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24 - (21 - 6)) + -10.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2663, 5341, 8019, 10697?\nAnswer: 13375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.017 (b) -0.5 (c) -4 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -5. Let q be m*(-2 + -2 - -90). Suppose -2*o + 8 + 38 = -4*k, 0 = 4*o - 2*k - q. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((1*(0 + sqrt(2))**2 + -5)*-2 - (((sqrt(2) - (-2 + sqrt(2))) + 3 + sqrt(50) + -1)**2 + 4)).\nAnswer: -60 - 40*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/9824 and 101\/136308?\nAnswer: 1090464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -727 in -16, -3, -2\/19, 0.41?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160 = 10*i + 140. Suppose -3*c + 4*p = -5*c - i, -43 = -2*c + 5*p. Solve 5*x = 2*x + c for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3067783 - -599564. Let i = t + -3667346.98199941. Let o = i + -0.018. What is o rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + 8. Let d(c) = 14*c - c**3 + 7*c**2 - l*c - 9*c + 7. Suppose 0 = 5*x - 2*g - 34, -4*x = -5*g - 48 + 14. Determine d(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 309669940*k + 108396892.\nAnswer: 309669940","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 122671 to the power of 1\/2, to the nearest integer?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*f + 18 = -36*f. What is the tens digit of 2*417\/(-24)*36\/f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 19 = 2*u, 27387*u - 6*q = 27391*u + 22 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 100, -103, -83, -5, 4, 11, 1.\nAnswer: -103, -83, -5, 1, 4, 11, 100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18*d**2*h**2 - 37*d**2*h + 2*d**2*x + 7370*h**2*x + 749*h*x wrt h.\nAnswer: -36*d**2 + 14740*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of i**5\/60 + i**4\/24 + 2*i**2. Let s(l) be the third derivative of l**5\/15 + l**4\/6 - 10*l**2 + 4*l. Calculate s(f) - 6*x(f).\nAnswer: -2*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45 - 569058*t**3 + 569059*t**3 - 45.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*p - 11*p**2 - 22*p**2 + 5*p to the form i*p + a + l*p**2 and give l.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 579 is divided by 3\/((-42)\/(-320) - (-6 + (-854)\/(-140)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 4*s + 30. Let -4*c**2 + 0*c**4 + 13*c**2 - s*c**4 + c + 5*c = 0. What is c?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -s + 8. Let r = -14 + s. Suppose -2002*u + 1772*u + 25344 - 3034 = 0. What is the lowest common multiple of u and r?\nAnswer: 970","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 45640486 to the nearest integer?\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 20\/2873703 and 29\/20115921.\nAnswer: 20115921","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11380219127 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 - 7 = -s. Suppose 3*j = j + 3*t + 64, -3*j - 4*t + 113 = 0. Let u = s + j. What are the prime factors of u?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11 in -1\/24, -1\/8, -12, 5?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 172*p**3 - 2*p - 39*p**3 - 68*p**3 - 76*p**3 - 3*p.\nAnswer: -11*p**3 - 5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*m**3 + 7*m**3 - 4*m**3 + (2*m**2 - 4*m**2 + 4*m**2)*(m + 4*m - 2*m).\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 10. Let i = b + 15. Suppose 5*x + q = 52, -i = -3*q - 2. Solve 4*v = 2 + x for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q\/(q\/(q*q*(q**3\/q)\/q*q*q*q)))\/q)\/(q\/(q*q\/q**(-3\/8))))\/(q**(-1)\/q**(-2\/21)))**(-49) assuming q is positive.\nAnswer: q**(-8561\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -70? (a) -5 (b) -2\/7 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 499 + -490 + (5 - 0) + 1\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2298710082?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (i + 0*i - 5*i)*((4 - 2 - 1)*(i + 0*i + 2*i) + 15*i - 11*i + 76*i) to the form z*i + g*i**2 + h and give g.\nAnswer: -332","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1762028?\nAnswer: 2, 440507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000194 rounded to 6 decimal places?\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(294\/(-6))*(-2 + 0)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 103 + 472. Let i = -580.32 + f. Is i smaller than -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 503 divided by -5\nAnswer: -503\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 71661579?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of 1482975*u**5 + 152100*u**4 + 6240*u**3 + 128*u**2 - 44*u + 112. Solve p(t) = 0 for t.\nAnswer: -4\/195","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5535*j**3 + 1140*j**3 - 22*j**3.\nAnswer: -4417*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -871, -1265, -1663, -2065, -2471, -2881?\n\"Answer: -2*g**2 - 388*g - 481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.153 - -11403295.63.\nAnswer: 11403295.783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = b + 2, 2*b - 12 = k + 3*k. Suppose -3*l = -3*n - 99, -3*l + 43 = n - 36. Let q = l + -28. Sort k, 4, q in increasing order.\nAnswer: k, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of -g**5\/5 + g**4\/6 + 6*g + 4. Let n(y) be the first derivative of k(y). Find the third derivative of n(c) wrt c.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 3*j - 3*r - 171, 4*j - 5*r = 181. What are the prime factors of j?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 + 6 + 7*j**2 - j**2 - 15 + 5*j + 3*j. What is m(7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -136 + 136 + 47*u + 295*u.\nAnswer: 342*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -10318233.77 rounded to the nearest 100?\nAnswer: -10318200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 + y**2 - y + 2. Let k be o(0). Suppose 2*d = -3*d + 50. Solve c = k*b + d, -b = -c - 3*b - 2 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 3619?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 13870457 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8005*v + 13269 wrt v?\nAnswer: -8005","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*c + 4*c + 9*c + (-3 + 2 + 0)*(-6 + c + 6) - 4*c + 7*c + 8*c.\nAnswer: 27*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 - 33*a**2 - 279*a - 19. Give r(40).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 68 and 4\/14 - (-5 - (-375)\/(-35))?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-28)\/49 - 75\/(-21). Suppose -q*n = 5*r - 81, 2*n - n = -3. Calculate the highest common factor of r and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3063665?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 + 6*w. Let q = -19 - -12. Calculate a(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 6, -5*v = -9*i + 4*i - 21195. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 6, x: 3, a: 4, g: 4}. Give prob of picking 1 k and 1 x.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -15*l**2 - 2*l + 2. Let b be o(-1). What is the tens digit of (-2)\/b + (-4005)\/(-55)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/3)\/(79900\/1050 + -76)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 5*i - 315 = 0, 4*p + 4*i - 5*i = 249. Suppose 0 = -t + 4*h + p, 19*t + 256 = 24*t - 2*h. Solve t = 12*l - 2*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4155309575 divided by 5?\nAnswer: 831061915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(s*s\/s**(-1\/2)))**(29\/3)\/((s**(-5)\/s*s)\/s*s**(-1\/2)) assuming s is positive.\nAnswer: s**(5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -8070 (base 16) in base 11?\nAnswer: -22781","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -4. Let x = 15 - 29. Let m = -17 - x. Which is the closest to -2? (a) m (b) 5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4, -9, -10, -1, 24, 71?\n\"Answer: t**3 - 4*t**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of 1\/8*f**5 - 2*f**2 + 28 - 9*f**3 - 3\/8*f**4 + 0*f - 1\/160*f**6. Factor k(x).\nAnswer: -3*(x - 6)**2*(x + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/48 and 43\/48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*l**2 + 3*l**4 + 2*l**2 + 5*l**3 - 3 + 0*l**2 + 2324*l - 2320*l to u + q*l + i*l**3 + z*l**4 + v*l**2 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 15\/6*2*228\/15. Let j(z) = 75*z - 238*z + q*z + 84*z. Let l(p) = 131*p. What is j(l(i))?\nAnswer: -393*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-12*4\/(-80))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 102, -2797, 4, -1.\nAnswer: -2797, -1, 4, 102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 5*q + j - 254, 2*q = -4*j + 84. Suppose a - u = 3*u + q, 3*a = 2*u + 110. Suppose a = 2*m - 218. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((1*(sqrt(378) + sqrt(42)))\/sqrt(6) - (0 + (sqrt(42)\/sqrt(3))\/sqrt(2))).\nAnswer: -3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 3 (b) 0 (c) -0.318\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 23102*-436.1\nAnswer: -10074782.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -305.09 - -372.7. Round r to the nearest integer.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 2*z = 2 + 2, -s + z = 0. Differentiate -6 - 1 - s*y + 0 + 2 wrt y.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v - 9. Suppose 4*g = -3*y - 9, -y + 5*g = -3*y - 13. Let m(k) = -1. Let h(x) = y*n(x) + 6*m(x). Does 15 divide h(15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12103332102 (base 4) to base 7\nAnswer: -20031060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 663 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 4071010 to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/7 of a week in days?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 29385156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - (-4)\/1)\/1. Suppose 173 = i + 3*f + 167, -5*i - f + 16 = 0. Suppose -g*n + 672 = -3*n + s, i*n = 3*s + 660. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of 0 + 0*p**3 - p**2 + 1\/30*p**5 + 0*p + 1\/360*p**6 - 1\/24*p**4. Let k(i) be the second derivative of u(i). Give k(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = -l - 2 - 8, 20 = -4*l for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 23927.31 years?\nAnswer: 2392.731","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1211933 rounded to four dps?\nAnswer: -0.1212","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*t - 85*t + 171*t.\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 841?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -74.\nAnswer: 29.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 49881278.16 plus -79.15?\nAnswer: 49881199.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 - 21*v - 15. What is h(-14)?\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of -3385*w**2\/2 - 4759*w + 1484. Find the first derivative of u(j) wrt j.\nAnswer: -3385","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l - 1. Let o be b(2). Suppose 3*j = o + 5. Suppose 5 = j*m - m. Is 4 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17707461.9 rounded to the nearest 100000?\nAnswer: 17700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-2*(sqrt(896)*3 - sqrt(896)))\/((sqrt(200) + (sqrt(200) - -2*sqrt(200)*-1) - sqrt(200)) + sqrt(200)*-1*4).\nAnswer: 32*sqrt(7)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2\/445 - 1794\/3115. Which is the third smallest value? (a) 11 (b) -0.03 (c) o (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1235 + 1279.54\nAnswer: 2514.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 4:10 PM?\nAnswer: 5:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 9 + 15 = 0. Calculate the smallest common multiple of 5 and (36\/10)\/(o\/(-15)).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -8131, -8129, -8119, -8101?\n\"Answer: 4*t**2 - 10*t - 8125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -856*w = -1002*w + 2044 for w.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2511*m**3 + 1722*m**3 - 3489*m**3.\nAnswer: -4278*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/7*j**2 + 4852\/7 + 4854\/7*j = 0. What is j?\nAnswer: -2426, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62*(-9)\/(-6)*348\/1044.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-4\/9)*h**(-4\/5)*h*h)**(1\/12))**31 assuming h is positive.\nAnswer: h**(527\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2251429036.\nAnswer: 2, 29, 19408871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1362 + -1355. What is the smallest common multiple of a and 1138?\nAnswer: 7966","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -8, 5068, 7 in increasing order.\nAnswer: -8, 2, 7, 5068","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (419 + 337 + 3 - 24)*(k + k - k) to i + r*k and give r.\nAnswer: 735","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (54\/(-30))\/(-1 - (-16)\/20). Let r be (-83)\/(-9) - (-1 + 11\/o). Solve 13 = -j + r for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 487104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 + -23. Which is the nearest to g? (a) -4 (b) -3\/4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 695 is divided by 344.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d and 1 e when four letters picked without replacement from {d: 19, e: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2 + -0.3. Let j be (-1 - -55)*16\/(-84). Let x = 10 + j. Which is the third biggest value? (a) f (b) 1\/4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 + 7*d**2 + 29*d + 3. Let n be g(10). Let f(p) = -4*p - 23. Let j be f(n). Solve 0 = j*r, 9*q - 10 = 4*q + 4*r for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*b**2 - 6753517*b + 142046221 wrt b?\nAnswer: 12*b - 6753517","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 5905?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175*z + 4194 = 77*z - 135*z for z.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(114)\/(1*sqrt(216) + sqrt(6)) + -4 + 0.\nAnswer: -4 + sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*n - 5*x + 11, -10*n + 4*x - 4 = -14*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7179137, 14358269, 21537399, 28716527, 35895653, 43074777?\nAnswer: 50253899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 76223111 + 3?\nAnswer: 76223114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3310 = 2040*b + 30502 + 31098 + 25350 for b.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -79*c**4 - 5*c**3 - 5*c**2 + 107. Let j(o) = o**4 - o**3 - o**2 + 1. Let y(p) = -5*j(p) + u(p). Differentiate y(q) with respect to q.\nAnswer: -336*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/252 and -1 + ((-37)\/120 - 32\/(-80)).\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*a = -64*a. Solve 2*h + 5*p - 5 = -h, 5*h - p + 29 = a for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -8. Let k(f) be the second derivative of f**4\/4 + 2*f**2 + 2*f. Is 12 a factor of k(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0*(-3)\/6*2. Suppose -3*w = -l*w - 69. What is the remainder when 44 is divided by w?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 4*c - c)*(-155 + 155 - 7*c)*((4*c**2 - c**2 - 5*c**2)*(-3 + 4 + 3) + 2*c**2 + 0*c + 0*c).\nAnswer: 42*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express f**3 + 0*f**2 + 45*f**4 + 2 - 3*f - 47*f**4 + 2*f**2 in the form w*f**4 + y*f**2 + p*f + n + m*f**3 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3 + 44261*g**2 - 489781160*g + 489736900.\nAnswer: -(g - 22130)**2*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 8*c - 3*c - 11, -4*a - 2*c = -22. Suppose 7*j + 4*o = 4*j + 454, -4*j + 600 = a*o. What is the greatest common divisor of j and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15\/7129 - 16133\/891125. Suppose 2*s - 16 = -6. Which is the third biggest value? (a) -1\/3 (b) s (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9096)\/20845*2\/(16\/(-10))\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 936059 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -3*m**2. Let s(w) = 24*w + 9. Give a(s(h)).\nAnswer: -1728*h**2 - 1296*h - 243","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2.2 * 8663.4\nAnswer: 19059.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -5*m + 17. Give w(14).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-104)\/(-32))\/((-2704)\/(-156)).\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4104.99115+0.4\nAnswer: -4104.59115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 (base 3) in base 2?\nAnswer: 10100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 15. Let r = f - -4. Which is the closest to -0.1? (a) r (b) -1\/7 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmlllmmmmlmml. What is prob of sequence mlml?\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/3 < -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 2*k. Let j(v) = -v**3 + v + 6. Calculate the least common multiple of 2 and j(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 - 8*d**2 - 3*d - 20. Let i be m(-8). Suppose -5*h + 21 + 6 = 2*z, -z + i*h - 6 = 0. Suppose -6 = z*j - 42. Solve 2*s = -0 - j for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/90*(1 + 28\/(-8)). Which is the closest to -0.3? (a) 5 (b) 0.06 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 3240 = -j, -2*t + 2160 = j - 3*j. Suppose -5 = -i, -i = 5*v + 3*i - t. Suppose -4*y = -5*f - v, -3*y + 0*y + 159 = 3*f. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*r = -45*r + 166. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a + 17. Give p(14).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u\/(u**(1\/5)\/u*u))\/u)\/((u\/(u**(10\/3)\/u*u))\/u))\/(u*u**(-2\/21)*u\/u**23))**22 assuming u is positive.\nAnswer: u**(18656\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 - 9316*m + 158366. Determine h(17).\nAnswer: 283","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11019 and 0.3?\nAnswer: 3305.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1923 or 752?\nAnswer: -1923","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 9896 + 847*d - 3299 - 3300 - 3297. Let s(c) = -3*c**2. What is s(h(n))?\nAnswer: -2152227*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of -x**5\/30 + x**2. Let c(z) = 3*z**2 + z. Let h be c(1). Let b(n) = -2*n + h*n - 3*n. What is u(b(q))?\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2868*h - 844. What are the prime factors of b(-14)?\nAnswer: 2, 31, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 223322944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, j: 7}. Give prob of picking 1 j and 3 g.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 4*x - 16 = 3*g, -4*x = 2*g - 16. Let a(b) = b**3 + 8*b**2 + 6*b - 2. Suppose -2*z = 3*z + 35. Let t be a(z). Solve 0 = -x*i + 7 + t for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 244*l + 938 = -306 + 345 - 1297 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/5)\/((-4)\/(-46)). Let t = 1449 + -1453. Sort t, -0.2, -0.4, y in decreasing order.\nAnswer: y, -0.2, -0.4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*u**3 - 5403*u - 15*u**3 - 9208*u**4 + 4794*u**2 + 8*u**3 + 5404*u - 2 wrt u?\nAnswer: -220992*u + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 AM and 8:00 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/156 and 11 + ((-220)\/(-792))\/(26\/(-1061)).\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1181 + 1180. Let f be (-1)\/(-3)*-2*2. Which is the nearest to l? (a) 0.5 (b) f (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6608860 + 3313059. Let q = 9921907.400126 - m. Let w = -11.6 - q. What is w rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*r - 1. Let p(z) = -3*z - z + 2*z + r - z. Let s = -26 - -28. Give p(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.4 - 0.5. Let v = -0.1 - h. Let d be 4\/(-16) - (-3 - (-18)\/(-8)). What is the closest to v in -2\/3, 2\/7, d?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of -3*n**4\/8 - n**2\/2 - 4. Let x(g) be the second derivative of o(g). Give x(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y**2 - 3*y. What are the prime factors of v(-6)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -84620690 rounded to the nearest 100000?\nAnswer: -84600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -2*y**2 - 2*y - 2. Suppose -51*c + 48*c - 21 = 0. Let s(m) = -2 - m - 3*m**2 + 2*m**2 + 6 - 5. What is c*s(q) + 3*n(q)?\nAnswer: q**2 + q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of k**4\/4 + 2*k**3\/3 - k**2 - 2*k + 2. Is d(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19608667.\nAnswer: 13, 17, 83, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8297006?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 - 5*a**2 + 4*a - 6. Give t(-7).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 + 6*i - 6. Let t be o(4). Suppose -m - m - 13 = -5*q, 2*m - t = 0. Find the third derivative of -7*b - b**2 - 2*b**q + 7*b wrt b.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14219172 divided by -23938?\nAnswer: -594","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1041*u - 5 + 2067*u + 72*u**2 - 1054*u.\nAnswer: 72*u**2 - 28*u - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1626 and -0.056?\nAnswer: 1626.056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*b + 313 + 5406. List the prime factors of b.\nAnswer: 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 59*p + 68. Calculate f(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 35, 71, 107, 143, 179?\n\"Answer: 36*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3300 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h**2 + 2*h**2 - 2*h**2)*(2 - 2 - 2*h) + h**3 - h**3 + 2*h**3 + 2*h**3 - h**3 - 3*h**3 - 2*h**3 + 2*h**3 + h**3.\nAnswer: 9*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 - ((-4 + 6 - 5) + 8). Let t be 3\/9*(1 - 1). Let q(m) = -2*m**2 + 2*m**3 - 2*m - 3 + t + 4 - 3*m**3. Determine q(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 960472 is divided by 115.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 + 5*y - 2. Let q be s(3). Suppose 2 = -5*m - 13, -5 = u + q*m. Let o = 19 + -15. Solve 0 = -o*w + u - 3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*g + g - 5*g)*(0 + 0 + g) + 0*g**2 + g**2 + 0*g**2)*((-g + 5*g - 2*g)*(-2*g - 3*g + 3*g) + 3*g**2 - g + g + 2*g).\nAnswer: g**4 - 2*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.897 - 0.003. Let b = -3 - q. Let p be 3 - 0*(4 + -3). Put p, 0, b in descending order.\nAnswer: p, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2091?\nAnswer: 3, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 508452*t**2 - 1740536*t**2 - 36885*t**2 - 5456476*t**2.\nAnswer: -6725445*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (106154*a**4 - 106156*a**4 + 28 + 17)*(1 - 2 - 1 + 5 - 2 - 4 + (-1 + 3 - 4)*(5 - 3 - 1)) to m*a**2 + t + w*a + b*a**4 + i*a**3 and give b.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/2 (b) 3\/10 (c) 13391\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**2\/4 + 3127*d - 11141405\/4 = 0.\nAnswer: -13343, 835","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 154461 = -4*s, -595*f = 4*s - 594*f - 154431. What is s rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (5*((sqrt(102) - -2*sqrt(102))*4 + sqrt(102)))\/(((sqrt(72) - (sqrt(72) - -3*sqrt(72)))*6)\/sqrt(12)).\nAnswer: -65*sqrt(17)\/18 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 7562, 1, -2, 3, -12, 4 in decreasing order.\nAnswer: 7562, 4, 3, 1, -2, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101 + 35 + 38 - 109*v**3 + 28.\nAnswer: -109*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-520131)\/(-562))\/((-3)\/(-4))?\nAnswer: 2, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 - 12*r**2 - 19*r + 15. Let n be i(-10). Solve n = -28*v + 5 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 748 is divided by 50?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 105 - 89. Are 15 and a non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*c + 7 = 84 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 101641 (base 8) to base 15\nAnswer: 9eb7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -4*m - 19. Let w be (8\/(-6))\/(4\/18). What are the prime factors of ((-16)\/w)\/((-2)\/m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 9*h - 1737. Let f(k) = -12*k + 2605. Determine 5*f(s) + 7*o(s).\nAnswer: 3*s + 866","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43058 divided by 1.\nAnswer: 43058","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.32 - 3.68. What is the second smallest value in z, 0.4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 1 + 59. Suppose -4*t = -d - 3 + 41, -152 = -4*d - 5*t. Calculate the remainder when d is divided by 4*((-273)\/k)\/(-7).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27.6 + 0.04.\nAnswer: 27.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 15*k - 29. What is the remainder when l(9) is divided by 23?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 7:10 PM?\nAnswer: 11:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1520738318?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 631 - -262?\nAnswer: 893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 15*d**3 - 125*d**3 + 4.\nAnswer: -110*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-30))\/((-34)\/136)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 94850 or 94837?\nAnswer: 94837","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 24169, 24168, 24167, 24166, 24165, 24164?\n\"Answer: -l + 24170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 497.\nAnswer: 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r - 13. What is the least common multiple of 4 and d(16)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 5 = 17. Suppose 0 = -h*w + 5*w - 2. Suppose 0*q - w*q + g = -15, -4*q = -4*g - 40. Solve 11 = 3*k + 3*j - q*j, 4*k - 12 = 2*j for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*(p\/(p**(-3)\/p)*p)\/p*p\/(p*p**(5\/7)*p*p*p))**(-40))**(4\/3) assuming p is positive.\nAnswer: p**(-2560\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*b - 50*b + 59*b + 16*b**3.\nAnswer: 16*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bwwwbwww. Give prob of sequence wwww.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -365\/3 or 4?\nAnswer: -365\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 6*l - 0*l. Let x(u) = -2*u - 8. Let r be x(l). Put -1, r, -3 in descending order.\nAnswer: r, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 61786727 to the nearest integer?\nAnswer: 395","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28689?\nAnswer: 3, 73, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 220?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*f = -10457 - 180363. Suppose f = 8*k - k. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -808*i + 2584*i + 97436 = 3823 - 4067 for i.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 331038 * 807\nAnswer: 267147666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + 101000000111000101110?\nAnswer: 101000000111000101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 23.38971ml?\nAnswer: 0.02338971","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (8 + -5) - 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89788602?\nAnswer: 2, 3, 103, 145289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.388 - -0.022. Let c = -1.59 - m. What is the closest to -1\/12 in c, 0.1, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 603 and 189.\nAnswer: 12663","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**15*d)\/d**(1\/8) assuming d is positive.\nAnswer: d**(127\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 8 = 0, 78*v = 5*h + 74*v - 1594. Suppose t + t - 92 = 0. What is the greatest common factor of t and h?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45366.\nAnswer: 2, 3, 7561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.9 (b) -0.3 (c) 11 (d) 13 (e) -4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 5*u**5 - 230*u**4 - 13785*u**3 + 14450*u**2 + 28000*u = 0.\nAnswer: -35, -1, 0, 2, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 + s - 5. Let z(h) = -6*h**2 + 5*h - 25. Let y(l) = -11*g(l) + 2*z(l). Let i(m) = m**2 - 8*m + 7. Let v be i(6). Give y(v).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1163 + -1160. Let o(s) = s - 3. Give o(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of w**2 + 1. Let b(k) be the third derivative of k**4\/24 + 8*k**2 - 13. Give o(b(z)).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 - 45\/6 - (-2)\/4. Sort -2\/7, -4\/3, j in increasing order.\nAnswer: j, -4\/3, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8.078 - 0.022. Let z = -8 - f. What is the biggest value in 0, -0.2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a = 3*a + 36 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8 - 1861114?\nAnswer: -1861123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 442*u - 442*u - 40*u**2.\nAnswer: -40*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 + 8*u + 6. Let l be v(-6). Let x = 14 - l. Calculate the lowest common multiple of x and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a. Let f(n) = 533*n. Determine h(f(y)).\nAnswer: 533*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of -o**8\/280 + o**6\/60 - 3*o**3\/2 + 10*o**2. Let y(h) be the first derivative of z(h). Find the third derivative of y(w) wrt w.\nAnswer: -144*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12387 is divided by 12096?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 140\/10*(-2)\/(-4). Let f be (-1*(h + -4))\/(-1). Suppose 2*r - 35 = f. List the prime factors of r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.2, 2, -24.7, 0.08, -0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 1447 = 4*t - 6*k, 0 = 5*t - 2*k + 1830. Let c = 440 + t. Is c a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24 + -12. Let o(d) = -d**2 + 14*d - 18. Let l be o(z). What is the remainder when 1\/(-1)*(-318)\/l is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 358b + 3?\nAnswer: 3591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 11 + -7 - (-2 + 14) - 8?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kftfftffffftft. What is prob of picking 1 k and 3 f?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 89958 or 89940?\nAnswer: 89940","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35303110 (base 8) to base 10.\nAnswer: -7702088","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*(8 - (1 + -3)). Let n = 22 + u. Calculate the smallest common multiple of n and ((-27)\/18)\/((-2)\/12).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3 - 26*f**3 + 5*f - 12 + 14*f**3 + 9*f**3 wrt f?\nAnswer: -9*f**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25 + -29. Let l(j) = -j**3 - 4*j**2 - 2*j - 1. Give l(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 80.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2381745?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-67 + -33)*72\/180.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 173697?\nAnswer: 173697","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -471383, -471555, -471843, -472247, -472767?\nAnswer: -473403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -5*g + 9. Suppose 0 = 4*n - 9 + 1. Suppose -4*c + n*c = -2. Solve 3*a + c = g*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 160 = -7*d. Let i = d - -87. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19*16\/(-1216))\/((7\/70)\/(8\/(-20)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 37*s**3 - 27*s**2 + 6*s. Let l(u) = -73*u**3 + 53*u**2 - 11*u. Let h(y) = -6*l(y) - 11*t(y). What is the third derivative of h(k) wrt k?\nAnswer: 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 290990 - 162597. Let n = v - 128390.40038. Let a = n + -2.6. What is a rounded to 4 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millimeter in micrometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 601?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, j: 1, p: 4}. What is prob of sequence pll?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -547*v + 1818 + 917 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 345*a**4 - 12*a**3 - 41*a**2 + 8893*a - 302.\nAnswer: 4140*a**2 - 72*a - 82","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mnkzfzd. Give prob of picking 1 m and 1 f.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7141 is divided by 2334.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xgcxxggxxgxxxcgxgx. Give prob of picking 1 c, 2 g, and 1 x.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 395 - 40. Let o(z) = -25*z - 1. Calculate the remainder when b is divided by o(-1).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 16 = 5*a + 1, -d = 4*a - 12 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/30 and 31\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 355 and 365?\nAnswer: 25915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7176 and 1416.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m = 4*m + 12. Which is bigger: m or 20\/7?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 divided by 78?\nAnswer: 35\/78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-162)\/(-3)*(-2)\/(-6). Suppose 0*a = 5*l + a - 47, -3*l - 4*a + w = 0. Calculate the remainder when 25 is divided by l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 60527, 122511, 184495, 246479?\n\"Answer: 61984*w - 1457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 + 6*q**2 + 4*q + 6. Let b be l(7). Let m = 7 + -5. Calculate the least common multiple of m and b + 18 - (1 + 0 + -24).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of -p**6\/120 - 3*p**5\/20 - p**4\/24 - 3*p**3\/2 - 2*p**2. Let r be i(-9). Solve 4*b - 4 = -r for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/5 of a millennium in years?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 + 10*m**2 - 11*m - 48. Let f be q(-10). Calculate the greatest common divisor of f and 558.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3801920*z**2 + 145966597.\nAnswer: -7603840*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 318 and 77963.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4750*q = -4768*q - 90. Put 4, -3, q, -9 in decreasing order.\nAnswer: 4, -3, q, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kubb when four letters picked without replacement from {u: 1, k: 14, b: 2}?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 33 = 36*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4319261 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3\/9 - 52*l**2 - 648*l - 1968.\nAnswer: 2*(l - 246)*(l + 6)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a millimeter in micrometers?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5013375 divided by 2305\nAnswer: -2175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30 + 50. Suppose -5*r = -145 - v. What is the greatest common divisor of r and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 338*o + 326*o + 371*o + 322*o - 1685*o + 326*o.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -19*b + 27. Differentiate 8*f - 14*f**2 - 2*f + 5*f**b - 7*f - 109 with respect to f.\nAnswer: -18*f - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1181384?\nAnswer: 2, 147673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 4*n + 95. Let r be l(-23). Solve 0 = -r*w - 9 - 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -647203*z**5 - 283836*z wrt z.\nAnswer: -12944060*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1098 is divided by 278?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -16*o**2 - 87*o + 281. Calculate x(-7).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15041 - -15043. Solve l + 3*p = 7, -7*p + d*p + 7 = -3*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (55\/20)\/(8\/(-64))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 5*c**2 + 5*c + 2. Let d be t(-2). Suppose -d*g = -7*g - 45. Solve 10*j - g*j = -4 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 101370 and 43927.\nAnswer: 1317810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 5*l - 3, -2*z + 20 = -2*l - 2*l. Let c = 2.6 + -0.6. What is the smallest value in -1\/3, c, z?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123104005.\nAnswer: 5, 241, 102161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/(-10)*(-2 + 2). Let n be -3 + (0\/3 - -15). Solve 4*r = -h*r - n for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.037 + 0.037. Let u = x - -0.0019. Round u to four dps.\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104) + (sqrt(104) - sqrt(104)*5)*5)\/(sqrt(48)\/sqrt(96)).\nAnswer: -76*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 11 = 4*r + 1, 4*x + 20 = r. Suppose 0 = -r*b - 3*b + 12756. Suppose 5*h = b + 22803. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.021 * 0.12.\nAnswer: -0.00252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 45 = -4*z, -13*t = z - 11*t - 10. What is the highest common factor of 1704 and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 - 6*a**2 - 9*a + 8. Calculate s(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 9903, 19757, 29523, 39159, 48623?\n\"Answer: -7*o**3 - 2*o**2 + 9909*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15258704?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v - 5*v + 5*v. Let c(o) be the third derivative of 7*o**5\/20 + 89*o**2 + 41*o - 2. Determine c(z(i)).\nAnswer: 84*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, j: 4, f: 2, w: 2, r: 2, m: 1}. What is prob of sequence jj?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -457*o + 2. Let c(q) = 304*q - 1. What is 8*c(m) + 5*z(m)?\nAnswer: 147*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0006094699 rounded to six decimal places?\nAnswer: 0.000609","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + -2320?\nAnswer: -2314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - ((-96)\/128 - (-366)\/40 - 2)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8*(-78)\/3640)\/(18\/180).\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 + c**2 + c**2)*((0 - 6 + 4)*(0 - 4 + 3) + 0 + 9 - 2 + 1 + 1 + 0).\nAnswer: 11*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/18, -2, 2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -21*u**2 - 220*u + 524. Calculate m(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 2 - -2 - (2 - 1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 270\/(-36)*(-4)\/6. Let w(n) be the second derivative of -5\/12*n**4 + 2\/3*n**3 + 0*n**2 - p*n + 0. What is the second derivative of w(t) wrt t?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 - -0.4. Is q <= 1\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 31861611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7266 and 42.\nAnswer: 305172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*w - 18 - 84 = 12*w. Let n(b) = -b. Let p(a) = -3*a - 2*a + 4*a - a**2 - 2*a**2. Determine w*n(r) + 3*p(r).\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*b**4*n - 14*b**4 + 91*b**3*n - b**2*n + b**2 + 1905*b*n + 4*n wrt b?\nAnswer: 96*b*n - 336*b + 546*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 55036 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 11375 divided by 65\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 - -1.1. Let p = 18\/31 + -296\/403. Which is the nearest to f? (a) p (b) -1\/4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -82*b**4 + 248*b**3 - b**2 + 4*b - 2769635 wrt b.\nAnswer: -328*b**3 + 744*b**2 - 2*b + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1421, 2847, 4277, 5711?\nAnswer: 7149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**4 - 1006*v**3 + 129952*v**2 - 861056*v = 0. Calculate v.\nAnswer: 0, 7, 248","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -162, 0.4, -3, 17, -65, -1\/4.\nAnswer: -162, -65, -3, -1\/4, 0.4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -30, -14, 24, 96, 214, 390, 636?\n\"Answer: 2*n**3 - n**2 + 5*n - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -163*s**2 + 164*s**2 + 3870 - 1944 - 1948.\nAnswer: s**2 - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(2\/7)*i**(-10)*(i*i\/i**(-14)*i)\/i*i**(-6\/5) assuming i is positive.\nAnswer: i**(178\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of -567*f**2\/2 - 652*f + 358. What is the first derivative of l(r) wrt r?\nAnswer: -567","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -5*l. Let o(f) = 13*f + 7. Let x(d) = -4*d - 2. Let h = -13 - -17. Let s be 2*((-4)\/h + 0). Let b(w) = s*o(w) - 7*x(w). Calculate b(n(k)).\nAnswer: -10*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.54424195 and -2881.57.\nAnswer: -2881.02575805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 13 - 9 - 1*2. Let d = -92 + 104. Suppose -m + d = -2*r - r, -5*m = r - 76. Solve 0 = 7*q - s*q + m for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-1*sqrt(65) + -3*(-3*sqrt(65) + sqrt(65)))\/(((5*sqrt(180) - sqrt(20)) + sqrt(20))\/(sqrt(8)\/sqrt(2)*1)).\nAnswer: 7*sqrt(13)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 4*a - 32 = 0, 256*x + 22 = 258*x + 2*a. Solve 5*u = -5*s + 5, -x*u - 3*s = -2*u + 1 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 144, 147, 152, 159, 168, 179, 192?\nAnswer: 207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 300343?\nAnswer: 300343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2875 - -5092. List the prime factors of u.\nAnswer: 31, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 + 5 - 4)*(0 + 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2 + 34373410*o - 295382828757025.\nAnswer: -(o - 17186705)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d - 2 + 2)*(-47 + 11*d + 47)*(0 + 0 + 2)*(0 + 0 + 4*d**3).\nAnswer: 264*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2\/7)\/2)\/1?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - -42?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - (-26)\/(-15)) + (-2)\/3. Let k = -0.2 + 0.2. Let t = -2 - k. What is the closest to a in t, 1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(-2) - (-5 - -9). Sort 2, 1, m in increasing order.\nAnswer: m, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (-6 + -7 + 31 + -108 + -1 + -7).\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/((-6)\/10*(-15)\/6). Suppose -3*t + 5 + 1 = 0. Let k be (j + t)*(-21)\/91. Which is smaller: k or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 131841?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 10:26 PM?\nAnswer: 1:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*h + 5*k + 130 = 12*h, -32 = 3*h + k for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 957533 take away 170?\nAnswer: 957363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 123\/100 and 57\/2.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 364886414?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -533\/358 - 2\/179. What is the closest to -1 in -2, k, 1\/5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 - 6*t + 2. Let f(o) = o**3 - 9*o**2 + 8*o + 6. Let b be f(8). Suppose l + 20 = b*l. Calculate the remainder when l is divided by s(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 - 437*t - 3550. What is s(-8)?\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**0*j)\/(j\/(j\/(j**3*j)))*(j**(-1))**(-4\/3))\/(((j\/((j**1\/j)\/j))\/(j*j**(1\/9)))\/(j*(j*j*j*(j*j**0)\/j)\/j)**(-20\/3)) assuming j is positive.\nAnswer: j**(-203\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 722 (b) 5 (c) -0.5 (d) -5 (e) -2 (f) -0.49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 33*n**3 + 28*n**2 + 24*n + 19772. Let u(k) = 7*k**3 + 6*k**2 + 5*k + 3954. Give 3*b(q) - 14*u(q).\nAnswer: q**3 + 2*q + 3960","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -9*n**3 + 11*n**2 - 36*n - 105. Let j(q) = -5*q**3 + 5*q**2 - 18*q - 53. Let z(f) = -11*j(f) + 6*y(f). What is the units digit of z(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, b: 14}. What is prob of sequence bbbb?\nAnswer: 1001\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 PM and 10:22 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 335931\/20 + -16792. Find the common denominator of 470\/420*(-98)\/168 and f.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 3*w - 30 = -4*w, 0 = 5*u - 3*w - 75. Is u a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 37 = -4*h, -3*h + 2*h = 2*r - 10. Suppose h*a + 4*a - 168 = 0. Calculate the least common multiple of a and 38.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9608 - 9608. Solve 6*k - 20 = -t - 24, -4*k + t - 6 = x for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p + 6. Let i(k) = k - 11. Let a(h) = -3*i(h) - 5*w(h). Let m be a(5). Solve -m = 5*l - 33 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + 189*r**2 - 562*r + 754. Determine l(186).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2158948 - 36*u - 4317911 - 80*u + 2158963.\nAnswer: -116*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41728.\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**2 - 30896*y - 59660176.\nAnswer: -4*(y + 3862)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -31070700 by 711.\nAnswer: -43700","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 12*v + 1. Let u(z) = -161*z**2 + 21*z + 3. Calculate -2*m(s) + u(s).\nAnswer: -161*s**2 - 3*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(108) + 3 + -4 - (1 + sqrt(75)*-4 + sqrt(75) + sqrt(75) + sqrt(75))**2.\nAnswer: -77 + 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (105*h - 217*h + 109*h - 30)*(h**4 + 0*h**4 - 6*h**4).\nAnswer: 15*h**5 + 150*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of -y**3\/2 - 3*y**2 - 4*y. Differentiate r(i) wrt i.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5762?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 63.06 - 75.1. Let u = 12 + l. Let m = -0.11 - -0.21. Which is greater: u or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from diddddddddddd. Give prob of picking 2 d.\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a milligram in micrograms?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 11*y + 21*y - 30*y. Let i(w) be the third derivative of -w**5\/20 + w**2. Calculate f(i(s)).\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 619267 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 36072615 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 12 = -4. Let d be (-103 - 5)\/(-2)*(-16)\/(-12). What is the greatest common factor of a and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*r - 3 + 2 + 2 in the form f*r + u and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 1.4 (c) 3.15 (d) 81\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -169, -190, -211, -232, -253, -274?\nAnswer: -295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 159515*l + 239129.\nAnswer: 159515","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(180) + 1 + (sqrt(720)*-3 - sqrt(720))**2 + -1 + (sqrt(5) - ((sqrt(20)\/sqrt(4) - sqrt(5)) + -1)) + -4 + 3.\nAnswer: 7*sqrt(5) + 11520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1 - 32\/(-48))\/((-544)\/(-426)) and 115\/952.\nAnswer: 1904","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93234029559922 + 6*b - 93234029559922.\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((12\/18)\/(-2))\/(-5)*9\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 167\/792480 and 113\/60960?\nAnswer: 792480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1913550 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/4)\/((-17)\/4).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (19 - 6 - -150) + -155\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of 9*q**4 - 2*q**3\/3 + q**2\/2 - 1. Let v be d(1). Let h = -21 + v. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 118912, 237820, 356728, 475636, 594544, 713452?\n\"Answer: 118908*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -13554 and 7.8.\nAnswer: -105721.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.005, 33, 0.4?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2628023?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - 2777252?\nAnswer: -2777257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 8:37 PM?\nAnswer: 11:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2\/67 - 116\/603. Let v = 0.1 - 0.1. Let x = -3 - v. Which is the second smallest value? (a) l (b) x (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*y + 3*y**3 + 77*y - 26*y - 1523 - 24*y.\nAnswer: 3*y**3 - 1523","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30883 is divided by 309?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence awar when four letters picked without replacement from wwrwrrrwawwawwwr.\nAnswer: 3\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6084 rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20095 divided by 1824.\nAnswer: -20095\/1824","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j**2 + 5*j - 3. Let y be r(-4). Suppose -3*k + y = -5*c, 2*k - 5*c = -0*k + 1. Let l(u) = 2*u**2 - 7*u + 5. Is l(k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(((-27)\/(-81))\/(2\/6))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -1 + 1 + 151*o**2 + 1 + o**3 - 150*o**2. Let w(n) = 6*n**3 + 5*n**2 + 3. What is 5*a(d) - w(d)?\nAnswer: -d**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 79 - 11. What is the remainder when v is divided by (8\/12)\/((-2)\/24) - -15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-27\/4)*a)**(20\/7)*(a**(-33)*a)\/(a\/((a*a\/((a\/a**(-17\/2))\/a*a))\/a)) assuming a is positive.\nAnswer: a**(-811\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 56 + 20. Suppose b = 4*a + s, 3*s = -46 + 31. Solve 3*h - a = 6 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 545411*b*h - 848134*b with respect to h.\nAnswer: 545411*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 3*v + 9 = 2*d, -d + 2*v = -12. Let l = d - -5. Calculate the remainder when (-252)\/24*(-48)\/l is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 + 14*j**2 - 8. Give s(-14).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20711*1.\nAnswer: 20711","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 0 - 2\/3*z**2 - 10\/3*z = 0?\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 6. Suppose 2*s = 3*x + 4, -b*x = -2*x - 4. Find the third derivative of -s*m**4 + 4*m**4 + 3*m**2 - 2*m**2 wrt m.\nAnswer: -24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y**3 - 49*y**2 - 74*y - 79. What is the remainder when 518 is divided by p(26)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8317\/648 - 17\/81. Suppose 0 = -2*r + 18 - 24. Find the common denominator of d and r\/(-12) + 179\/(-36).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-126)\/(-56))\/3*66\/(-9)\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/12 and 5\/2898207.\nAnswer: 11592828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -9 - -1 - 7 - -20?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 179759 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 44 + -44. Let j = -1 + -3. What is the common denominator of ((-74)\/1)\/(j + x) and 29\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2)\/(-40)*1090\/52 and 25\/22?\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (65\/(-10) + 7)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwllttdwtttltlltt. What is prob of picking 1 l and 1 w?\nAnswer: 25\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20881, -41883, -62885, -83887, -104889, -125891?\nAnswer: -146893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 318 - 320. Let j = 0.2 + 0.8. Let a = j + -0.9. Is b less than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of -13*b**5\/20 + b**3\/6 + 403*b**2\/2 + 319*b + 1. Find the first derivative of a(u) wrt u.\nAnswer: -39*u**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 3*q - 18 = -2*q, 4*a + 5*q - 26 = 0. Let n = 38 + -35. Suppose -n*b - a*p + 234 = 56, -b + 3*p + 55 = 0. What are the prime factors of b?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 5514565?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - -5) + -6 - -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 1\/289951 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13*b*m**3*u - 4*b*m**3 - 48*b*m**2*u + b*m**2 - 6*b - 5*m**2 with respect to u.\nAnswer: 13*b*m**3 - 48*b*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -43, -1, 4 in decreasing order.\nAnswer: 4, -1, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.43 - 0.5. Let j = 0.0700035 + h. Round j to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 62 - 3530*d - 197 + 65 + 70 to the form v*d + n and give v.\nAnswer: -3530","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*l + 1. Let m(k) be the third derivative of -k**4\/24 - k**3\/3 + 32*k**2 - 2*k. Calculate m(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 147 divided by 1\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*p + 5 + 15 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-20)*b)\/b)**(9\/7)\/((b*b*b*b**(2\/5)*b*b)\/(b\/b**(5\/11))) assuming b is positive.\nAnswer: b**(-11769\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.665774mm in centimeters?\nAnswer: 0.3665774","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*z - 1876 = 2810. What is the remainder when 274 is divided by z?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 4*d - 16 = 0, -8 = z + 4*d + 5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 5*c - 9, c = -4*b + 2*c + 9. Solve -3*f - 21 = f - h, 2*f = b*h - 13 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-1)\/u)\/u*u)**(-17))**(-32) assuming u is positive.\nAnswer: u**(-1088)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pe when two letters picked without replacement from pvvevpppvnqvpv?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 PM and 12:06 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -77 - 27*x + 53 + 25 + 2*x**2 as b + g*x + o*x**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*q, 0 = -2*r + 6*r - q - 9. Solve 5 = r*b + 1 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 5*c - 44 = 0, 0*z + c = 2*z + 51. Let m = -10 - z. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -15, -38, -61, -84, -107?\n\"Answer: -23*r + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98 = -3*r + 3*m - 151, 5*m + 180 = -2*r. Let b = r - -95. Calculate the lowest common multiple of b and 34.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 592.3 + -592.5. Which is greater: -1.3 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + 787?\nAnswer: 792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (51\/(1 - 4))\/(9\/(-378)). Suppose -3*j = 3*o - 1008, -n = -3*j + 3*o + 294. Is 42 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 2*k + 31 = -0*k, -2*x + 30 = -k. What is the remainder when x is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2)*(x**(-2)*x)\/x)**(13\/5)\/(((x*x\/(x*x**(-1)\/x))\/(x**(-1\/2)\/x))\/(x**3*x*x\/(x\/x**6)*x*x)) assuming x is positive.\nAnswer: x**(-29\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15468 + 15464. What is the third smallest value in 10, 2\/43, w, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 1153.\nAnswer: 3459","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -173\nAnswer: -4\/173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -432167738+79\nAnswer: -432167659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + 19. Suppose 98*w = 97*w + 35. What is the remainder when w is divided by p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 - 4. Suppose -2*b = 3*b + 3*l - 13, b - 3*l + 1 = 0. Suppose h + 2 = x, -3*h = -4*x + b*h + t. Solve r + 0 = 2*q - x, -2*r + 15 = 3*q for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (69\/230)\/(((-567)\/56)\/(-9))?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from szkeeekzksezezrrzs. What is prob of picking 1 z and 1 r?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 7. Let j be (1\/3)\/(q\/(-4)). Let i = -27\/65 + 1\/65. Which is the nearest to 2? (a) i (b) -5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3*b = 3, 5*z + 3*b = -2*b + 5. Suppose -4*m + 12 = -z. Let h(v) = -v**3 + 4*v**2 + 5*v - 1. Let s be h(5). Sort -5, m, s in increasing order.\nAnswer: -5, s, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.0626035 centuries?\nAnswer: 75.1242","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/h**(-33)*h)**(-36))**(-19\/5) assuming h is positive.\nAnswer: h**(24624\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 2*(-1 + sqrt(1008)) + ((sqrt(847)*-2)**2 + 5)*-3.\nAnswer: -10179 + 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*y, 3*r = -y - 2*y - 9. Let b = r - -7. Find the third derivative of -b*i**2 + i**3 + 0*i + 0*i wrt i.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 - 26 = 7*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 greater than 9184.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 729 = -4*h - 0*a, 183 = h - a. What are the prime factors of -2*(-4 - h\/(-8))*-5?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 120\/(-320)*(32\/72)\/((-2)\/(-3))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**1)**(7\/3)\/(i*i\/i**(-20\/3)*i*i*i*i)**1 assuming i is positive.\nAnswer: i**(-31\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 AM and 11:08 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*p**4 + 5*p**3 + 7*p**3 + 9*p**4 + (0*p**2 - 2*p**2 + 4*p**2)*(-4*p**2 - 2*p**2 + 7*p**2) + 12*p**2 - 12*p**2 - 9*p**4.\nAnswer: -5*p**4 + 12*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -0.82 (c) -2\/7 (d) -0.4 (e) 3\/4 (f) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of -q**5\/15 + 61*q**4\/12 + 55*q**3 - 7420*q**2. Factor v(y).\nAnswer: -2*(y - 33)*(2*y + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -7\/2 (b) 799 (c) -0.01 (d) -3 (e) -48\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 = -7*h + 43. Suppose -12*g - h = -14*g. Is 8 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13589 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 + 9*a**2 - 10*a + 18. Let n be j(8). Let d = n - -28. Let v = -34 + d. Let o(c) = c**2 + 3*c + 2. What is o(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -21, -0.1, 4\/3, -4, 24, -0.9, 2?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 179 = 2*h - x, -3*h = -2*x - 97. Let k = -30 + 42. What is the remainder when h is divided by k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17 - 35*a**2 + 19 + 3*a**3 + 130*a**2 + 61*a**2 to the form w + j*a + v*a**2 + p*a**3 and give v.\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of -3*y**2\/2 - 59*y - 8268. Calculate q(-13).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 + 5*m. Suppose 42 = 2*g + 6. Let r = g - 25. Let u(s) = -s**2 - 4*s. Let p(c) = r*u(c) - 6*x(c). Let n(w) = w. Give p(n(y)).\nAnswer: y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of k**4\/4 + k**3\/3 - k**2\/2 - k + 3. Determine v(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1146528, 1146530, 1146534, 1146540, 1146548?\n\"Answer: n**2 - n + 1146528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1293697 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.161176 to 2 dps.\nAnswer: 1.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 + 12. Let j be -3 + v\/3 - -28. Let b be 1*(-7 - -4) - 684\/(-4). Calculate the highest common divisor of b and j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-152)\/(-608) - (169\/(-8))\/(-13).\nAnswer: -11\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - 1\/(1\/(-2)). Let h = 7 - 3. Let c = h - a. Solve -c*d - 11 = q, -q - 2*d = d + 16 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iuau when four letters picked without replacement from {i: 3, m: 1, u: 2, x: 1, a: 5}.\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2102700 rounded to the nearest one hundred thousand?\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -46944988.097 minus 0.2?\nAnswer: -46944988.297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1254 - -1259. Let v be (-9*(-2 + 1))\/((-9)\/(-12)). Solve -4*k + v = -2*h, 0 - 16 = w*h + 4*k for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1205595850?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 283753 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of -127*d**3\/6 - d**2 - 10*d + 121. Let m(o) = -14*o. Determine m(n(c)).\nAnswer: 1778*c + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 1582809*o - 15828087. Determine t(10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -l + 5. Is l a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -20*s + 48. Let p be v(3). Let y be (2 - (-21)\/p) + 21\/(-36). What is the nearest to y in -0.3, 5, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7476735557 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 + 9*h**2 + 8*h + 3. Let p be y(-8). Let v = 5 + -1. Suppose 8 = -p*r + v*r. What is the remainder when 14 is divided by r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -5*h - 3. Suppose 5*f + 6 + 4 = 0. Let t be q(f). Suppose -t*j + 150 = -2*j. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -137 - -160. Suppose -40 = -s*z + 13*z. Solve 0 = -z*j - j - 10 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -129 + 97. What is the second smallest value in 3, 1\/5, w?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.3 - -0.2. Let b = -0.39 + -1.61. What is the nearest to 1 in v, b, -0.2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 1 + 4)*(-3*h**3 - 3*h**3 + 5*h**3) - 1310*h**3 - 9330*h**3 - 13240*h**3 - 16265*h**3 - 10207*h**3 as i*h**2 + a*h + y + b*h**3 and give b.\nAnswer: -50354","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1 - 10)*(1 + 3\/(-2)) and -33\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1808, -3, -4, 80 in ascending order.\nAnswer: -1808, -4, -3, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = z - q, 3*z - 2*q + 13 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mittimimmiiimittiwxt. Give prob of sequence iti.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 1 = -3. Suppose p - c = -2*c - 2, l*c + 6 = 0. Let d(z) = 2*z. Let q be d(p). Solve 12 - q = 5*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.72 + 2.28. What is the closest to 5 in k, 4, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 88923989?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 44793 and 1296?\nAnswer: 716688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 0*d + 9 + 7*d**2 - d**3 - 6 + 8*d. Let l be i(8). What is the derivative of -3 - 8 - 9 - l*k wrt k?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -181\/3811020 and 19\/835750.\nAnswer: 95275500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -w + w + 171*w**2 - 650*w**2 - 457*w**2 as i*w**2 + s + c*w and give i.\nAnswer: -936","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 15588987737 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o. Suppose -131*l - 7*l - 85*l - 81*l = 0. Let h(f) be the second derivative of 0*f**3 - 16*f + l + 35\/12*f**4 + 0*f**2. What is r(h(m))?\nAnswer: -35*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/6*(-12)\/(-14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 4*n - 17 = 0, 545*n - 21 = -5*d + 549*n for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 214836*k - 131 = 214835*k + 3*d, -168 = 4*d for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zffvfvzzfzzfzffz. What is prob of picking 1 v, 1 f, and 1 z?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -17842*x**4\/13 + 17592*x**3\/13 + 18092*x**2\/13 - 17592*x\/13 - 250\/13 = 0.\nAnswer: -1, -125\/8921, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 - 7*r**2 - 2*r + 1. Is z(-7) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -934044 divided by -1?\nAnswer: 934044","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4.3 and -10.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -24*x**2. Let s(o) = -o**2 - 6*o + 6. Let n(u) = 3*u**2 + 17*u - 17. Let p be 656\/40 + (-3)\/(-5). Let c(f) = p*s(f) + 6*n(f). Calculate c(m(h)).\nAnswer: 576*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 3*-6*(-4*(sqrt(40)\/sqrt(8) - sqrt(5))**2 + sqrt(5) - (2*sqrt(500) - sqrt(5)))*2.\nAnswer: 4 + 648*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21131 is divided by 10556?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 12) to base 6\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -49546098.1 rounded to the nearest ten thousand?\nAnswer: -49550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -4*r + 2. Let q be w(0). Let s be 17\/(-7) + q + 14597\/(-77). Let p = s - -289. What are the prime factors of p?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.13 - 558.9\nAnswer: -558.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of -8*c**6\/5 + 101*c**5\/60 - 25*c**2. Find the third derivative of o(z) wrt z.\nAnswer: -1152","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.4, -1\/9, 724.\nAnswer: -1, -0.4, -1\/9, 724","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 54 + -84. Let n = a + 69. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5764240918546 and 0.104.\nAnswer: -5764240918545.896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2088 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*m + 4*m = -144. Which is the biggest value? (a) -3 (b) m (c) -5 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -2\/79821 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*(g**(-1\/5)\/g)\/g)\/g)**(2\/21)\/(g**12\/g*g\/(g\/(g*(g*g**(-2\/7))\/g*g*g))) assuming g is positive.\nAnswer: g**(-1462\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2e + c9331?\nAnswer: c9360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3903165.63 from 742.\nAnswer: -3902423.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1414 and 202.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2176364678 to the power of 1\/3, to the nearest integer?\nAnswer: 1296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -8. Suppose -s = s - k. Is (-44)\/(-12) - s\/3 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-2)*-1*4. Let j be y + (-2 + 8 - 2). Solve 4*n = -j*k + 4, 0 = -4*n - 0*n + k - 8 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c + 7. Let g be d(5). Let h = g + -2. Suppose 2*u + 1 - 31 = h. Solve 0 = 5*y - b - u, -3*b - 35 = -5*y + 2*b for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -5*w + 3. Suppose 7 = -5*i + 2*y, 3*y - 6 = -2*i + 6*y. Let g = i + 5. Calculate m(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.11 minus 75.3?\nAnswer: -78.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 700288 and 18.\nAnswer: 6302592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxgxxxmxxxxmgxxgx. What is prob of picking 2 m and 2 x?\nAnswer: 33\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3500964, -7001918, -10502874, -14003832, -17504792?\n\"Answer: -f**2 - 3500951*f - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - (-6 + -1 + 3). Solve -3*j + 5*a = -11, j - 5*a - 8 = -u*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 480 + 76. List the prime factors of a.\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4520 - 4523. Are j and 28.5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 10) in base 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4385 is divided by 337?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -101*c - 6. Let l be v(-1). Suppose -40 = 9*f + l. Let a = -5\/4 - -19\/12. What is the biggest value in -0.3, a, f?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31785543?\nAnswer: 3, 3531727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -193\/4 + 48. Let c be (3 + 0)*(-9)\/27. Are c and s non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -2*u - 2. Suppose -w - 4*j - 18 = 4*w, -w + 4 = -3*j. Put -4, u, w in decreasing order.\nAnswer: u, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8761.24ns to seconds.\nAnswer: 0.00000876124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n + 11. Let c be f(7). Let s(t) = 3*t - 7. Let q(g) = 2*g - 4. Determine c*s(k) + 5*q(k).\nAnswer: k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.17 and -18.316993?\nAnswer: 3.11388881","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.987 - 1.587. Let q = -4 + 6. Let t be (-9)\/(-21)*q\/3. What is the nearest to t in -2\/5, 2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 854 - 3608 = -153*d for d.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.0059 rounded to 0 dps?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 28 = 2*i, 4*i + z = 9 + 11. Calculate the smallest common multiple of i and 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3031 or 1044?\nAnswer: 1044","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5 + -3 - 0)*1. Let n(t) = 4*t**u - 2 + 9*t - 4 + t**3 + 7*t**2. What is the smallest common multiple of 7 and n(-10)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22802*b**2 - 8255*b - 2.\nAnswer: -45604","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/21)\/(2\/6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 - 12*p**2 + 2*p - 8. Let r(w) = -w**2 - 11*w - 12. Let y be r(-8). What is the units digit of z(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 68*j**2 - j + 2. Let z be c(1). Let t = z - 61. What is the least common multiple of t and 94\/(8 - (12 - 6))?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32568 divided by -8142\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-1670)\/(-14) + 28\/(-98)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 110*s**2*u - 6*s**2 + 4871*s*u - 2*s + 16256524*u wrt s?\nAnswer: 220*s*u - 12*s + 4871*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-4)\/x**1)**(-23\/2) assuming x is positive.\nAnswer: x**(115\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2037 + 4434?\nAnswer: 6472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 223877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -107*y - 2 - 103*y - y**2 + 213*y.\nAnswer: -(y - 2)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 32 = 2*k + l, -3*k - l = -25. Suppose 0 = o + 5*d + 10, 6*d - 3*d = -o - 4. Put k, o, -4 in increasing order.\nAnswer: -4, o, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 80426239.\nAnswer: -40213119.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -3, -2\/3, -0.3, 59\/12, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Solve 308 = 6*p - p + 23*p for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 f, and 1 m when three letters picked without replacement from afiamms?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(864\/2124) - 38?\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 17*n**2 - 3*n - 231. Let j(u) = 6*u**2 - u - 78. Give -4*a(r) + 11*j(r).\nAnswer: -2*r**2 + r + 66","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 89 - 30. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 478 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 - 2*t**2 - 5*t + 2. Let v be s(4). Let x = v - 3. Suppose 0 = -3*k - x - 1, -15 = a + 5*k. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2*r**2 + 2*r - 687. What is y(-19)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q + 13. Let g be (-60)\/(-25) + (-4)\/10. Suppose -6*w + 28 = -g*w. What is the units digit of x(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 128 = 5*i - 243, -i - 464 = -4*w. What is the remainder when w is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o**2 + 253*o + 3623. Let g be s(-13). Let l(t) = 9*t - t**2 - 4*t + t**2 + t**2. Determine l(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 3*n - 6 - 17, -2*q = -4*n + 14. Let t(y) = 9*y - 5. What is the tens digit of t(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -2*a - 3. Let r(z) = 25*z - 23. Let q be r(1). What is i in 3*i**q - 3*i**a + 20*i**5 - 2*i + 7*i**3 - 11*i**5 - 14*i**5 = 0?\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 265 (base 13) to base 4.\nAnswer: 12211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-10) - -5) + 1*-4.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/sqrt(3)*5)**2*5*-5.\nAnswer: -3125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 456600317017 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n + n - 2*n)*(-n**4 - 3*n**3 + 3*n**3) + (-6*n**5 + 12*n - 12*n)*(7 + 1 - 9).\nAnswer: 10*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2140 (b) -0.2 (c) 156 (d) -1 (e) 2 (f) 0.1 (g) -5\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8580123?\nAnswer: 3, 953347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of -2*q**3\/3 - 6*q. Let y(c) be the second derivative of -c**4\/12 - c. Calculate y(s(l)).\nAnswer: -16*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -4*p. Suppose -4*s + 28 - 4 = p. Solve -2*h - s = -5*u, -5*h + 2*u - 16 = -1 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -21*b. Let p(d) be the first derivative of 3*d**2\/2 + 315. Give r(p(c)).\nAnswer: -63*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -419 - 423 + 1262 - 420 + 9*z.\nAnswer: 9*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 - 3*z**2 - 1. Let d be y(3). Let n be ((-7)\/(-15))\/(d\/(-6)). Are 3 and n nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 4*c**3 + 3*c**2 + 6*c - 1. Let a be k(-3). Let r be 4 + (a\/12 - -4). Which is greater: -1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3972 divide 64172056?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2352.000003511 + 2352. What is t rounded to seven dps?\nAnswer: -0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -1*sqrt(3) + 3.\nAnswer: -sqrt(3) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -31*t**2 - 1240*t + 9. Give k(-40).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2605410403 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 166955 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23.2 - -9. Let z = f - 16. Round z to zero dps.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30 - -30. Suppose y = -3*q - 19 - 53. Let u = q - -63. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2.923027 and -0.069.\nAnswer: 2.854027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -3*n + 97000. Let v be c(0). What is v rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -24356 in -9, -1\/2, 7?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 34 + 4015?\nAnswer: 4053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-1))\/(7\/((-105)\/(-5)))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99*b = 108*b - 84249. Is 13 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-4)\/f*f\/(f*(f\/(f\/(f\/((f**(2\/5)\/f)\/f))))\/f*f))\/(f**(-1)*f)**(-32))\/(((f\/f**(-2\/3))\/f*f)**(-2\/59))**(-2\/11) assuming f is positive.\nAnswer: f**(-74086\/9735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v*v**28*v*(v**(-32)\/v)\/v*v*v*v**7*v**(-1\/55) assuming v is positive.\nAnswer: v**(329\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 261*w = 385*w - 181*w + 627 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 - 6*s + 17. Suppose -39*j = -41*j + 24. Let t be 9\/j - 0 - (-315)\/(-36). Calculate d(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4012025242 + 4?\nAnswer: 4012025246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12627553 to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6261 is divided by 777?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 11:13 AM?\nAnswer: 3:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 7356864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**4\/21 - 856*x**3\/3 + 4511912*x**2\/21 - 1705152*x + 23808384\/7.\nAnswer: 2*(x - 1494)**2*(x - 4)**2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c, -4*f + 2*c + 6180 = 6*c. Is 16 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*u**2 - 286*u + 286*u)*(-4703*u + 2627*u + 2661*u) to the form x*u + q*u**2 + v*u**3 + b and give v.\nAnswer: 2925","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 9. Let p = u - -7.1. Let m = -1.7 + 2. What is the second biggest value in m, p, -2\/7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (210\/144)\/((-635)\/508)?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 123 = 132, 3*a - 126 = -5*b. Solve -43*q = 209 - a for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*h + 117 = -153 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 5*f = -8, 0 = -2*s + 4*f + f + 12. Let t be s\/5*2*15. Let z(i) = i**3 - 5*i**2 - 5*i - 5. What is z(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8 + 2800\/105)*3*3\/2. Calculate the greatest common divisor of r and 3900.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -s, j + 2*j + 9 = 0. Suppose 0 = 3*p + d + 1, 2*p = s*d - 11 + 3. Let r(q) = -2*q. Let x be r(p). Solve -x*u = -u + 5 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 200217.924 to the nearest 100.\nAnswer: 200200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 PM and 8:48 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - s + 2 = 18 - 8, f + 7 = -2*s for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 + 119 - 5 + 33 + 2*m in the form d*m + p and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1399696*a**3 + 18*a**2 + 5899*a.\nAnswer: -8398176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -9*k + 1. Let o(m) = -8*m + 1. Let f(d) = -7*o(d) + 6*p(d). Let n(l) = 18*l + 12*l + 17*l - 1 + 9*l - 53*l. Determine -7*f(c) + 5*n(c).\nAnswer: c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91) + sqrt(91)*-1)*3*5)\/(sqrt(847)*-5*1) + -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -136600 to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of 2*w**2 - 11. Let g(s) = 8*s**2 - 6*s + 2. Let k(j) = 36*j**2 - 28*j + 10. Let p(h) = -14*g(h) + 3*k(h). Determine p(o(t)).\nAnswer: -64*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-6))**(1\/10)*(g**(2\/5)*g)**(-1\/4) assuming g is positive.\nAnswer: g**(7\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + 1 - (50 - 58)) + -6.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*j + 14 + 2. Let g(v) = -v**3 + v**2 - 4*v + 12. Let f be g(j). Suppose -r - r - 10 = f, -4*r = x - 47. Is 4 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -179*y + 19144960 = -35512690. What is y rounded to the nearest one thousand?\nAnswer: 305000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.33 - -16.67. Let r = 16 - f. Sort 2\/11, -2\/7, r in decreasing order.\nAnswer: 2\/11, -2\/7, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1003 - -0.0071. Let y = 329.6 - 328.6956. Let g = r - y. Round g to 1 dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24558, 97849, 219992, 390981, 610810?\nAnswer: 879473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 1\/79, -3, 1\/539, 1\/25, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 886, 2000, 3088, 4138, 5138?\nAnswer: 6076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - 0. What is the nearest to -2 in -4\/9, a, -5\/4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 7:02 PM?\nAnswer: 11:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -7) + (-63)\/15.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of -z**5\/20 - z**4\/12 + 2*z**3\/3 + z**2 + 4*z + 3. Let n(a) be the first derivative of f(a). Calculate n(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2905.953 * -27\nAnswer: -78460.731","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1016697.21 rounded to the nearest ten thousand?\nAnswer: -1020000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - x - 7 = 0, 5*x = 4*o - 0*o - 11. Let z(d) = 537*d + 5. Is z(o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 1. Suppose d = -10*b + 8*b + 10. Solve 0*m = 4*k - b*m + 17, 3*k - 26 = -4*m for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -155*o**2 + 6*o - 4. Let x be k(4). Let d = -1201 - x. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10.8 times 0.1\nAnswer: -1.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 661*d + 668*d + 667*d - 1998*d.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7757763?\nAnswer: 3, 13, 17, 11701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14.23915 decades to millennia.\nAnswer: 0.1423915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (112\/161)\/8 - (-67)\/23. Let b(w) be the second derivative of -2*w**2 + 1\/2*w**n + 0 - 4*w. Determine b(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, -40917 in decreasing order.\nAnswer: 3, -1, -40917","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 62, 221, 486, 857?\nAnswer: 1334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, q: 1, y: 4, f: 5, d: 3, c: 1}. Give prob of picking 1 d and 2 o.\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 182a5 - 7?\nAnswer: 1829a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.702596 rounded to one decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23\/7812 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 + 11. Does 8 divide p(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 296*g**4 - 4*g + 390*g**4 + 5*g + g**3 - 3*g to the form h*g + a + j*g**3 + i*g**4 + c*g**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/66 and 53\/1023?\nAnswer: 2046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/3*45\/6. Let d(l) = -3*l**3 + 2*l**2 - 1. Let s be d(1). Suppose -2*b + 0*b - 11 = p, -5*p + 5*b = -20. Sort s, y, p in increasing order.\nAnswer: s, p, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 253*f**3 - 4*f**2 - 8*f - 186. Let m(j) = -255*j**3 + 3*j**2 + 6*j + 185. Let d(l) = -4*m(l) - 3*x(l). What is the first derivative of d(p) wrt p?\nAnswer: 783*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 46750 and 8?\nAnswer: 187000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 + 4*h**2 + 2. Let r be z(4). Suppose 1463224 = -r*d - 76776. Round d to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.05 (b) -1 (c) 0 (d) 1\/14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 19 - 11. Let n be (26\/4 + -7)\/((-9)\/6). Which is smaller: s or n?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5*1*(-6)\/(-15). Suppose 2*b - 2*s - x = -0, -2 = 2*b + 2*s. Suppose -3*v + v + 42 = b. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*c + 4. Suppose -3*a + 16 = -5*x, -2*a + 6*x - 2*x = -12. Is a at least c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5731.55 - -520.35882.\nAnswer: 6251.90882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*n + 12 = 12*n. Suppose -8*k = -4*k + 4. Let u(d) = d. Let o be u(k). Which is bigger: o or n?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - 326c?\nAnswer: -3271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 59 - 58.7. What is the closest to 1\/6 in -5, 4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -365*u**5 + 388*u wrt u?\nAnswer: -7300*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 AM and 3:28 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 0.09, -2, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 1\/11 (b) -3 (c) -2\/15 (d) -1.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) -4 (b) 2\/3 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6\/11, 0.4, -1.98, -0.5, -21\/2?\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*t**3 + 9595*t**2 + 370205*t + 3180125 = 0. Calculate t.\nAnswer: -25, -13, 1957","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0797 + 0.0797. Which is the nearest to -3? (a) -0.5 (b) n (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.4, 0.03, 1?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-18)*(-9)\/6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 + 2117*a + 211270. Calculate y(-105).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -55049, -110052, -165055, -220058?\nAnswer: -275061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 691671, 691685, 691699?\n\"Answer: 14*p + 691657","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -184, -611, -1322, -2317, -3596?\n\"Answer: -142*s**2 - s - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 4*c - 30 = -10*l, 0 = 3*c + 15. Suppose 0 = -2*u + 5*d + 21, -2*u + d + 2 + 7 = 0. Let s(v) = -4 + u - 1 - 2*v + 3. Determine s(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22248 = 35*a - 43*a. Is 27 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -284.8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 130*c**2. Let u(d) = 16 - 60*d**2 - 16 + 58*d**2. Give q(u(f)).\nAnswer: 520*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0 and 2518215.716595.\nAnswer: 2518215.716595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 164\/35 + -22\/5. Let m = -7 + 13. Let o = -8 + m. Put 2\/9, w, 0.08, o in descending order.\nAnswer: w, 2\/9, 0.08, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1519190 and 370015?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25 + -33. Is -489*(c - -3)\/5 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -494439, -1977799, -4450057, -7911207, -12361243?\n\"Answer: x**3 - 494455*x**2 - 2*x + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2299 = 24*b + 163. Does b = 91?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (114\/95)\/(-2*(-2)\/(-20)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 228228 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*z**3 - 4*z**3 - 120*z**2 - z**3.\nAnswer: z**3 - 120*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -198 + 54789295.\nAnswer: 54789097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2289535920?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 149*d**2*h**2 + 858*d**2*h*u - 7*d*h**3 + 2*d + 16*h**3*u + 1266*h**3 + 2537*u wrt u.\nAnswer: 858*d**2*h + 16*h**3 + 2537","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -2*(2*1*sqrt(297))\/sqrt(11) + 3)**2.\nAnswer: 24*sqrt(3) + 433","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d**4 - 3*d**4 + d - 3*d**4 + 2*d**2 - d**5 = 0. Calculate d.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 5*o - 7. Let h(m) = -2*m + 3. Let v(p) = -3*c(p) - 7*h(p). Let x(i) = -i. Calculate 2*v(u) - 3*x(u).\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 3*t - 3*t**2 + 2*t**2 + 10*t. Let h be 4\/16*4 - -13. Let y(d) = -2*d. Give h*y(o) + 2*b(o).\nAnswer: -2*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0755 times -25?\nAnswer: -1.8875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3 greater than or equal to 39\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4941 and 55017?\nAnswer: 30204333","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*g = -9*g. Suppose -3*b + i + 262 = g, -2*i - 300 + 40 = -3*b. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a - bbb4?\nAnswer: -10002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of 7\/10*u**5 + 0*u**3 - 44*u**2 + 22*u - 1\/3*u**4 + 0. Differentiate r(b) wrt b.\nAnswer: 42*b**2 - 8*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 229935382.\nAnswer: 2, 114967691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58898 = -5947*u + 1740*u for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 5*d**2 + 2 + (3 - 3 - d - 430*d + 213*d + 87*d + (-d + 4*d - 2*d)*(3 - 4 + 0))*(-2*d + 1 - 1)*(0 - 5 + 3).\nAnswer: -523*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 57*y**3 - y**2 - 47*y - 70. Give g(-2).\nAnswer: -436","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27\/4 + 7. Which is the closest to i? (a) -3\/7 (b) 2\/3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 16) to base 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xoopppxoxodddjddoxkx. Give prob of picking 1 d, 1 j, and 1 o.\nAnswer: 5\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 40333 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4263 is divided by 452?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = 5*b + 10, -4*b - 32 = 2*s - 6 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 1 - 1 + 3*d**2 + 48 - 48 - 5*d**2 + 7*d**2 - 3*d**2 - 3*d**2 + 4*d**2 + 0*d**2 - 2*d**2 + (5*d - d - 2*d)*(2*d + 3 - 3) - 1 + 1 - 3*d**2.\nAnswer: 2*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 7227 divide 620817606?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*c = 43*c - 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 262 - 3?\nAnswer: 25c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h + h**2 + 4*h)*(17*h - 2*h + 5*h)*(h + 0*h + 0*h)*(-7 + 2 + 3).\nAnswer: -40*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1571 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -25721 at least as big as -25721?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 254823438?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1397 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 88 + -88. What is the closest to a in 3, 5, -22?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27044763 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -49078 - -49078.057731. Let u = 0.0575 - h. Round u to five decimal places.\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of -k**4\/24 - 5*k**3\/3 + 16*k**2. Let p(w) = w**2 - 48*w + 462. Let j be p(14). Calculate t(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -0.2, 3\/23?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 15 = -3*g, 0 = 2*d + 4*g - 1 + 19 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -192*w + 20 = -197*w. Let v(i) = 2*i - 8 - 2*i + i - 5*i. Let n be v(w). Solve 3*b - n*b = -10 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 1 - 2)*(-1 + 1 - 1) + (-3 - 2 + 2)*(-1 - 3 + 5) + (1 - 1 - 1)*(2 + 1 - 2))*(-45 + 45 + 20*d).\nAnswer: -60*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/5 (b) -114 (c) 8 (d) -5 (e) -4 (f) -1\/5 (g) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*r - 2*v + 22, 6*r + 94*v - 12 = 98*v for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3382291 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (7\/((-14)\/(-3)))\/3\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -102 and -8.\nAnswer: 816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 138 (base 16) to base 5\nAnswer: 2222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11377 + -7125. What is the thousands digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*h + n - 16, -n - 16 = 277*h - 282*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**2\/k)**(-46)*k*k**(1\/13)*k*k*k*(k**17\/k)\/k assuming k is positive.\nAnswer: k**(-350\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 78307, 78342, 78407, 78502?\n\"Answer: 15*y**2 - 10*y + 78302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*q**4 - 43*q**3 - 35*q**3 - 21*q**2 + 78*q**3 + 3*q**4 - 23 wrt q?\nAnswer: 20*q**3 - 42*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -2) + (0 - (3 + 1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from neyyppyypyeo. What is prob of sequence npp?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1659661 or 1659666?\nAnswer: 1659666","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 709826795 divided by -7471861\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 23.9490586 to 3 decimal places.\nAnswer: 23.949","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h - 3*h + 2*n + 24, 4*n - 42 = -3*h. Let f = h - 4. Solve 0 = -2*r + f*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/3 (b) 12 (c) -0.9 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.612 = -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2 - 4*l**3 + 2*l**3 - 2*l**3 - 5*l**2. Suppose 130 = 174*a + 478. Let d(r) = -3*r**3 - 4*r**2 + 1. Give a*j(i) + 3*d(i).\nAnswer: -i**3 - 2*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 65081799 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 147 and 6006?\nAnswer: 42042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 200 - 101?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 7484.742431 to the nearest ten.\nAnswer: 7480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7046 + -7045.5749. Let m = -0.0529 - k. Let g = m - 0.022. What is the third smallest value in 4, g, -4\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 45*a**3 - 9 + 7)*(-1 - a + 3 - 4) in the form d*a**2 + g*a**3 + i + z*a + v*a**4 and give v.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 40980590 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3793, 6540, 9287?\n\"Answer: 2747*i + 1046","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8803 + 8801. Put -815, x, -3 in decreasing order.\nAnswer: x, -3, -815","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 5*h + 25 = 0, 4*y - 2*h + h - 5 = 0. Solve 0 = -3*m - 15 - y for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(637) + 1 - (-6*-2*sqrt(13) - sqrt(13))**2)*-4.\nAnswer: -28*sqrt(13) + 6288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of -s**4\/24 - s**2 - 2*s - 448. Let w(o) = 1999*o**2. Calculate w(f(h)).\nAnswer: 1999*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 171 (b) -5 (c) 0.09 (d) -0.2 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -20 - (1 - 0) - -2. Let u = t - -5. List the prime factors of 8\/28 + (-66)\/u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 + -15 - 2) + -4 + 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -33 + 13. Let j = i + 28. Suppose -4*h - 3*a = -13, -4*h = -3*h + a - 3. Calculate the highest common factor of h and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -4*m - 12059*g + 12055*g, 0 = m - 5*g + 19 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 853?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1418503136?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151*k + 40*k = -916 - 874 - 7760 for k.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 - 66*k + 688. Let v be t(14). Put -5, 2, -4, v, -16 in descending order.\nAnswer: 2, -4, -5, -16, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/(-10)*(-35)\/2. Let c = 20 - h. Let g(j) = 425*j - 141*j - 145*j + 3 + 1 - 137*j. Calculate g(c).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -312, -327, -368, -447, -576, -767?\n\"Answer: -2*t**3 - t**2 + 2*t - 311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**3\/9 + 128*p**2\/9 + 1124*p\/9 + 1768\/9.\nAnswer: 4*(p + 2)*(p + 13)*(p + 17)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 75908387873 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11440 and 182334152?\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 3 + 7. Suppose 4*l = p*l + 4. Let j = -1\/8 + -3\/8. Is l smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1036382 is divided by 117.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (102\/68)\/((-1)\/2)*3*-1. Solve 8*v + 2*j + 3 = x*v, 0 = -2*v - 4*j - 10 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137767 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 978*v**2 - 20 - 28 - 9*v + 36. Is h(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -8) + (174 - 184) - 1 - -12.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -110*f**3 + 14090*f - 3167204?\nAnswer: -330*f**2 + 14090","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -4. Let s(m) = m**2. Let c(l) = 25*l**2 - 20*l + 20. Let t(o) = n*c(o) - 20*s(o). Solve t(q) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -4*u**2 + 5*u + 4*u**2 + 0*u**2 + u**2 - 5. Let r(o) = -2*o**2 - 14*o + 14. Calculate -5*r(b) - 14*y(b).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12\/((-10)\/2 - 20632\/(-4124))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-1\/4)\/y)\/y*y)**46)**(3\/7) assuming y is positive.\nAnswer: y**(-345\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyy. What is prob of picking 3 y?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 1166, 1063\/9?\nAnswer: 1166","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ufufflfxflxfxfxxu. What is prob of sequence xlul?\nAnswer: 1\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3102321221 (base 4) to base 6\nAnswer: -30303145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1223400819 to the nearest integer?\nAnswer: 34977","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 56\/1707 and -101\/30?\nAnswer: 17070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, f: 1, t: 1, r: 4, z: 4}. What is prob of sequence rf?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/4 (b) 0.2 (c) 0.5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - -2)*1*1. Let n(c) = -2*c + 4 - j + 778*c**2 + 2. Let x be n(3). Round x to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (3 - 2)) + 8 + (0 - 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1152)*1 - sqrt(1152) - sqrt(1152))**2*-6.\nAnswer: -6912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, b: 1, s: 1, k: 3, q: 1}. What is prob of picking 1 k and 1 b?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 4*x = -17, -48*x + 49*x = 2*q - 7 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15988233, -63952890, -143893991, -255811542, -399705549, -575576018?\nAnswer: -783422955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**31)**(9\/10)\/(k\/k**(-2\/49)*k**(-18\/5)*k) assuming k is positive.\nAnswer: k**(-6233\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 + 6*y**2 - 8*y - 5. Let v be f(-7). Suppose -v*p = -0*p - 8. Suppose 6 = 2*q - 0. Which is greater: p or q?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 88 and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 814 and -146406.1.\nAnswer: -145592.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1874 + -1863. Which is the closest to f? (a) 0.03 (b) 0 (c) 1 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 599044703 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 7*f**2 - 52129316*f + 52129316*f.\nAnswer: 7*f**2 - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cfg when three letters picked without replacement from zfzzfccffczxffffg.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/8 + 988\/16. Let i be 3 + -6 + m + -2. Suppose -13 + i = 2*b. What is the remainder when b is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-8)\/120*-10.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**2\/4 + 3223437*k\/4 + 12087720.\nAnswer: 3*(k + 15)*(k + 1074464)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2ba + -4?\nAnswer: -2c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - -7. Suppose -m*c - 2*c = 42400. Round c to the nearest one hundred.\nAnswer: -4200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 + 8*s + 6. Let k(p) = p + 8. Let b be k(-4). What is the least common multiple of n(b) and 20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -31002 or -2?\nAnswer: -31002","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2932 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 215 + -68. Let d = -2609 + 2615. What is the remainder when h is divided by d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23361317 to the power of 1\/3, to the nearest integer?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(1 - 467\/94 - -4). Suppose -2*l = -2*g + 104, -5*l + w = 14*g - 11*g. What is the remainder when g is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1156, -4324, -9540, -16750, -25900?\nAnswer: -36936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + -2 + 2 + 2 - 2. Solve m*k - 1 = k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1.8, 1, 3, 51\/4, 0.2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + -8. Let d(m) be the first derivative of -9*m**4\/2 + m**3\/3 + m**2\/2 + m + 1. Is d(f) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 318804 and 599900.\nAnswer: 55790700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 5350604?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2642998 + 2642997 + 13*a - 5285995.\nAnswer: 13*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 222*o - 255*o - 1122 = 0 for o.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of 13*w**5\/30 - w**4\/24 + w**3\/6 - w**2 - 36. Determine v(1).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 + 8*w - 6. Give i(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 215293\/5 - 43058. Let m = 0.3 - 0.35. Which is the closest to 8? (a) j (b) -5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-54)\/513)\/(5206\/(-722)).\nAnswer: 2\/137","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1088366.\nAnswer: 2, 544183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 7*m**3 - 6*m**2 - 9*m + 5. Let t(z) = z**3 + 14*z**2 + 12*z - 12. Let r be t(-13). Let k(x) = -x**3 + x**2 + x - 1. What is r*u(q) + 6*k(q)?\nAnswer: q**3 - 3*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 141.4, 0, -2\/3, 0.97.\nAnswer: -2\/3, 0, 0.97, 141.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -64 - -66. Let t be (-2)\/o*0\/(-1). Solve 8*n - 3*n = t for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 86 + 5. Let p = 28430 - 170035\/6. Let g = i - p. Which is the nearest to -0.2? (a) 3\/2 (b) -2 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + 3\/(-4)*-4. Suppose -i*s - 14 = -y, y = -3*y - 2*s + 6. Suppose d - 3 + 13 = 5*l, y*d = 5*l - 10. Solve d = j + 2 + 1 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1140366 divided by -2?\nAnswer: 570183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1613*p = 2288*p + 20925 for p.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - 211272?\nAnswer: -211266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxdxddxxk. What is prob of sequence dxkd?\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1828, 26, 3, 2.\nAnswer: 2, 3, 26, 1828","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 3 l when four letters picked without replacement from kbblbkllbbbbk?\nAnswer: 7\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2303?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.526947 months to millennia.\nAnswer: 0.00004391225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10.38997455 - -10.39. Round t to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a week in minutes?\nAnswer: 17640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/6 of a year in months?\nAnswer: 34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -17670 divided by 4\nAnswer: -8835\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -27 + 31. Suppose w*d - 95 = -15. Is d a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 66.\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 + 5*j**2 + 4*j + 6. Let y be i(6). Let p(r) be the third derivative of r**4\/12 + 4*r**3\/3 + 5*r**2. Give p(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 606023 (base 14) to base 12\nAnswer: 1104ba7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*a + 3*a - 4*a + (-5 + 3 + 3)*(-4*a - 4*a + 6*a) + 0 + 0 + a + 2*a - 2*a + 2*a + 5*a - 4*a + 0*a + (-3*a + 0*a + 5*a)*(-3 + 0 + 0).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 190 + -133. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 352373*o**2 + 34*o**5 - 352399*o**2 - 5*o**5 + (o**4 + 0*o**4 - 3*o**4)*((4 - 2 - 1)*(-3*o + 3*o + 2*o) - 2*o + o + 2*o)*(-1 + 1 + 2).\nAnswer: 17*o**5 - 26*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 3*p**2 - 20*p + 16. Let z be n(6). Solve -10*b - 3 = -7*b + 3*l, -z*l = 16 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -2*k**4 + 4*k**2 - 2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 23*j - 14. Let q be (-3 - -15)*3\/18. What is the lowest common multiple of y(q) and 18?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 57 - 71 = 0. What is the units digit of (r - 0) + (-3 - 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 4. Let q(f) = f**2 - 20*f - 227. Let p be q(28). Sort 18, p, g.\nAnswer: p, g, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssesjsqsjqjssssejq. Give prob of picking 3 j.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**2)**(1\/42)\/((h*h**(-7))\/h*h*h\/(h**(9\/2)\/h)) assuming h is positive.\nAnswer: h**(359\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2*o**2 - 27*o + 12. Determine b(-12).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.29 - 0.34. Let n = -612984 + 612983.95000035. Let m = g - n. Round m to seven dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + c + 4*c = -175, -3*c = -n + 35. What is the remainder when n is divided by (-8)\/96*-138 - 3\/(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5568 (base 11) to base 15.\nAnswer: -228e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of 0 + 1\/6*j**4 - 1\/20*j**5 + j + 0*j**2 + 0*j**3. What is the third derivative of h(o) wrt o?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11.4 and 5042?\nAnswer: 57478.8","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 198*z - 79*z + 1407472500. What is z rounded to the nearest one hundred thousand?\nAnswer: -11800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/4*(-16)\/(-2). Solve -x - 2*x = -4*d - 9, j*d - x + 3 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 plus -1559339.8?\nAnswer: -1559339.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -543326*z**5\/5 + 1046267*z**4\/5 + 196633*z**3\/5 - 237886*z**2\/5 + 9184*z\/5 + 6272\/5 = 0.\nAnswer: -1\/2, -1\/7, 56\/197, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 84 times 5\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 9 - 74 = -5*b, 0 = t. Let r(y) = b*y + 5*y - 19*y. Let w(g) = -2*g**2 - 59. Determine w(r(v)).\nAnswer: -2*v**2 - 59","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, 0, -2, -0.12, 4\/25709?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c**6 + 2765008*c**5 + 46668*c**2 + 1 wrt c?\nAnswer: 120*c**3 + 165900480*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i**2 + 3*i - 2*i**4 - 3*i**4 - 6*i + 2*i**3 + 4*i**4 to r*i**2 + h*i + j*i**4 + v*i**3 + c and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 79*l**2 + 43*l. Let f(r) = -15*r**2. Determine i(f(y)).\nAnswer: 17775*y**4 - 645*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z - 8. Let x be j(-5). Suppose 2*p + 187 = -r - 49, -2 = -x*p. What is r rounded to the nearest ten?\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 + 5*m**2 + 2*m - 3. Let i be 6 + (-2 + -1)\/(4 - 3). Give w(i).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.41 + -0.06. Let g = v + -0.15. What is the second smallest value in 3, g, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 230647250?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -57490423 * -0.5\nAnswer: 28745211.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*f - 27*f + 156 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -5*w**3 - w**2 + 82*w - 81. Determine b(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2712354983 + -1.\nAnswer: 2712354982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 54*m**2 - 697*m + 1. What is the remainder when o(15) is divided by 81?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -132185 + -1.6\nAnswer: -132186.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2125063 and -150.\nAnswer: 2124913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 AM and 7:03 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10\/(4\/(-2 - -4)). Suppose -2*x = -3*x - k. Let g be (7 - 52\/8)*-2. Put x, 3, g in decreasing order.\nAnswer: 3, g, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -38309, -76612, -114909, -153200, -191485?\n\"Answer: 3*q**2 - 38312*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 123 - 33. Suppose p + 11 = 5*c, 8*c = -3*p + 3*c + 47. Calculate the highest common divisor of w and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 381 * -1.\nAnswer: -381","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-88)\/6*(-2)\/(-4)*-57. Calculate the greatest common factor of 66 and f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c = 4*b + 2*c + 737, b + 5*c = -203. Let q = -99 - b. Calculate the remainder when q is divided by 1*2*22 - -2.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -3*u**3 + 3*u - 2. Let d be x(-3). Let g(i) = -12 + 9 - 21 - 13*i. Let w be g(-4). What is the greatest common divisor of d and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -62 - ((-9 - -3) + 196 + -174).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1120\/336)\/(((-4)\/6)\/2).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, n: 1, q: 2, b: 2, h: 4, x: 3}. What is prob of picking 1 n, 1 x, and 1 b?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -248 divided by -1\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 244*f**2 + f. Let t be v(1). Let r = 347 - t. Suppose 3*q + 5*z - 50 = 2*q, -3*q - 3*z + r = 0. Calculate the highest common factor of q and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w**2 + 1. Let a(j) = 14*j**2 - 4*j - 1. Determine -a(p) - 4*k(p).\nAnswer: -22*p**2 + 4*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 6395.\nAnswer: -2\/6395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 11*m**2 - 2*m + 7. Let w(y) = -9*y + 212. Let d be w(23). Let f be (84\/70)\/(3\/d). Let o(t) = 5*t**2 - t + 3. Calculate f*q(h) - 5*o(h).\nAnswer: -3*h**2 + h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1901?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/(-2) - (-845 + -3 + -3) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 66075895?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/20)\/(-6*(-8)\/(-32))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 4*z**2 + 18*z. Let c(m) = -7*m. Calculate c(o(f)).\nAnswer: -28*f**2 - 126*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1890, 3, -5, -3, 8\/17, -1\/4, -0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, 15, 46, 101, 186, 307, 470, 681?\nAnswer: 946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 4674905961?\nAnswer: 4674905963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 4571*r**3 - 392*r + 4566*r**3 + 88*r)*(0*r - r + 0*r) to c + u*r**3 + l*r**2 + x*r + v*r**4 and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/(-3))\/(10\/(-30)). Let m be (((-15)\/5)\/(-12))\/(d\/20). What is the nearest to 2 in 0.3, m, -1.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 185*v**2 + 17*v + 33. What are the prime factors of b(-2)?\nAnswer: 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/3 (b) -168 (c) 2 (d) -5 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {s: 1, y: 1, k: 3, x: 3, o: 4, m: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(-51)*(-2)\/4*20695\/(-41390).\nAnswer: -3\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b\/((b\/(b\/b**(-2\/3)))\/b*b*b))*b*b)\/b)\/b**5)**(-13\/4) assuming b is positive.\nAnswer: b**(143\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11 and 220.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 25*r**4 - 21*r**3 + 19*r**3 - 6*r + 2*r + 35*r**4 as j*r**2 + f*r**4 + m*r + x + n*r**3 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i + 1. Suppose 4*y = 3*r + 11, 4*y = 6*y + 3*r - 1. Suppose d + 2*d + 24 = -3*p, 0 = -5*p + y*d - 12. Calculate j(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5682\/59 less than -0.44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, g: 4, c: 2, r: 5, q: 1}. What is prob of picking 3 g and 1 w?\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(605)*-3*3 - (3*sqrt(5)*2 - (sqrt(50)\/(sqrt(10) + (1*sqrt(10) - sqrt(10))))**2).\nAnswer: -204*sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 695, 1388, 2081?\nAnswer: 2774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17019 and 260775.\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 39797078 to the nearest integer?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 358482?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 15177116 + -3?\nAnswer: 15177113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - -10111110101010010010110?\nAnswer: 10111110101010010011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*w - 4102 - 2520. Suppose 0 = -6*y + 11*y + 4*z - w, -3*y = 2*z - 360. What is the remainder when y is divided by 0 - (0 + -24 + 0)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 715?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 292162961 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(-2904)*(-128)\/(-1056)*-22.\nAnswer: 2\/121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (25\/25)\/(-3*(-1)\/(-9))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -391 to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**3 - 2*y**3 - 8*y**4)*(-11 + 11 - 4*y) + 45*y**2 - y**5 - y**5 - 8*y**2.\nAnswer: 30*y**5 + 37*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 74 - 92. Calculate the smallest common multiple of 10 and g.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149508 is divided by 7475?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, j: 4, b: 3, k: 4}. Give prob of picking 2 k and 1 b.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4581 is divided by 1335.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -366*p - 796. What is the tens digit of j(-18)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n**2 - 873*n + 5218. What is o(6)?\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2923 = -2*u - 5*z, -2145 = -u + 3*z - 656. What is the greatest common divisor of u and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 321 - 87. Calculate the greatest common divisor of 26 and o.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 6 = 5*l, 115 - 21 = 3*n - 4*l. Solve n*s**2 + 10*s**2 + s**5 - 5*s**3 + 2*s**5 - 9*s**4 - 24*s - s**3 = 0.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 103*p - 5256 - 3808. Calculate the remainder when p is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 5*p - 7 = 0, 10*p = 4*i + 14*p - 12. Solve 3*x - 1 = 2*q, -x + i = 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1086 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33675 = -515*l - 1167*l + 335*l for l.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 3 + 36. What is the remainder when y is divided by -3 + 2 - ((-2 - -2) + -8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -7*u + 1. Let f(s) = 4*s + 6. Let q(d) = 5*d + 7. Let t(l) = 6*f(l) - 5*q(l). Let n(w) = c(w) - 6*t(w). Let b be n(-7). Which is greater: 1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*h + 4*h - h + (8 + 9 - 12)*(-h - h + 4*h) to y*h + g and give y.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 184143 - 184143 + 22744*v**2.\nAnswer: 22744*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/(-5))\/(84\/(-140)). Suppose 2*y = k*r - 6 - 0, 2*r = 5*y + 6. Suppose -18 = -r*l + s, 8 = l - 4*s - 9. Does 5 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= -1096\/35699?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1517 + -1542. Which is smaller: s or 2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*g = 25*g + 78 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r - 3*r + 3*k - 3, -5*k = -r - 17. Let t(l) = l + 1. Let g be t(r). Let o = g + 5. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -106213 (base 9) in base 16?\nAnswer: -f86d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 g when two letters picked without replacement from ehebheeghe.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 PM and 3:00 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 50.3802 to the nearest integer.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -110 + 15*v - 31 + 3*v + 5. Let g be t(9). Solve -3*d - 3*u = -27, -3*d - 4*u = -d - g for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 33 = 167. Suppose 0 = -y + 2*i - 2 + 32, -i = 2*y - a. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 - 144*w - 3009. Give j(-119).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 3737 = f + 2477, 2*n + 3*f - 3100 = 0. Suppose -6*g + 985 = -n. What are the prime factors of g?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: a (base 13) to base 6\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32 is divided by 24\/9*(-27)\/(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3263*u = 3107*u - 2496 for u.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 201?\nAnswer: 5\/201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-720)*-958 + 8 + 0. Let x(l) be the third derivative of n*l**5 + 0*l**3 + 1\/120*l**6 + 0*l**4 + 0 + 12*l**2 + 0*l. Suppose x(m) = 0. What is m?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/231 and 173\/3696.\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*l - 0*l - 5*c, l - 5*c = -30 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g**3 + 3*g**2 + 3*g + 3. Let r be w(-2). Let v be (9\/4)\/((-1)\/(-4)). Let x = v + r. Is x less than or equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) -0.03 (c) -4 (d) -1949 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 765?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 6*y - 25439 = 0. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 4*v + 1. Let c be j(1). Suppose -2*p + 6 = 0, -c*m + 5*p = -3*m + 9. Suppose 0 = -4*i, -20 = -3*n - m*i + 55. List the prime factors of n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 568621 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153 = 24*y - 21*y. Suppose -46*p + y*p = 10. Which is smaller: 0 or p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23304?\nAnswer: 2, 3, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 12669601 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: Calculate 0.5 - 86922.57631.\nAnswer: -86922.07631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 7, z: 6}. What is prob of picking 3 o?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 - 142*m + 7718. What is f(-184)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 5*p - 13 = l, 0 = -4*l - p - 15. Let v be 6*((-64)\/12)\/l + 0. Find the third derivative of 243*x**4 - 255*x**4 + 2*x**3 - 5*x**2 + 0*x + v*x wrt x.\nAnswer: -288*x + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9474216 and 26054094.\nAnswer: 104216376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -4*z. Let i(r) = 75*r. Determine i(g(d)).\nAnswer: -300*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 11*f**2 - f. Suppose 3*x = 4 + 8. Suppose -x*z + 12 = 16. Determine t(z).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 + 2*l**2 - 1. Suppose 3*x = -3*p + 129, 0*p + 2*x = -3*p + 130. What is the remainder when p is divided by y(-2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(196))\/(sqrt(56)\/(sqrt(8) + sqrt(24)\/sqrt(3) + sqrt(8))) + 3.\nAnswer: -24*sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7.1 + -6.8. What is the closest to 1 in w, 3\/4, 3?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 49531*s + 30. Give h(0).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 2 z, and 1 b when four letters picked without replacement from {f: 2, b: 2, z: 10}?\nAnswer: 180\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*x + 6. What is the remainder when 8\/28 + (-89)\/(-7) is divided by x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -40 - -103. Calculate the greatest common divisor of r and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrkqffkqqrrffaak. Give prob of picking 3 q.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = n - 2*n - 5*h, 0 = -n + h + 4. Let l(u) = -u**3 + 5*u**2 - 4*u - 2. Let b be l(n). Solve -3*v + b = -x - v, 0 = -3*x + 3*v - 6 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1)*t\/(t**1*t)*t*t**(-1\/9)*t*t\/t**(1\/9))\/(t*t*(t*t**(2\/5))\/t*t**(-2))**(-49) assuming t is positive.\nAnswer: t**(917\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5012239 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3848 + 3844. Let t(c) = -c. Let y(p) = -20*p. Let k(s) = -25*t(s) + y(s). What is k(f)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -53004 (base 7) to base 3.\nAnswer: -122212220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, g: 4}. Give prob of sequence fgff.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -4, -1\/3, 0.2, -0.019, 1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h**3 - 2*h**3 + 6*h**3)*(0*h - 7*h - 6*h).\nAnswer: -13*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -5*h - 4. Let x(l) = -7*l + 3*l - 9 - 7*l. Suppose 0 = -2*j + 4*g - 4, -2*j + 4*j = 3*g. Suppose i = 7 + j. Calculate i*a(s) - 6*x(s).\nAnswer: s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/3 - 2191040*j\/3 + 15337231\/3.\nAnswer: (j - 2191033)*(j - 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 160969, 2, 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2)*(-f - f + f) + 332*f + 319*f - 268*f + 180*f + 479*f.\nAnswer: 1044*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -53.999705 - -54. What is f rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9671840\/360 - -19 - 1\/(18\/4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -219683185*j + 13 - 6 + 219683180*j. Let t(a) = 10*a - 20 + 5*a - a. Determine -8*p(h) - 3*t(h).\nAnswer: -2*h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9789654, -19579326, -29368988, -39158634, -48948258, -58737854, -68527416?\nAnswer: -78316938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1655, -3310, -4963, -6614, -8263, -9910, -11555?\nAnswer: -13198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 313, 1, 11 in ascending order.\nAnswer: 0, 1, 11, 313","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -846230 by 5.\nAnswer: -169246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 9:46 PM?\nAnswer: 8:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.06 + -0.16. Let d = -1.34 - 0.16. Do p and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16500)\/(-6375)*187\/(-44).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of h**4\/12 - 7*h**3\/6 + 3*h**2\/2 + 2*h. Let w be g(6). Let b be w\/(-2)*10\/5. Solve -5 = -2*d - b*a, 0 = -3*a + 6*a + 3 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b + 2*r + r + 3, 0 = b - 2*r + 7 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j + 8*j + 54 = 0. Suppose 2*i - 15725 = -a, -j*a + i = -6*a - 47182. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -255 divided by 2935?\nAnswer: -51\/587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - 176?\nAnswer: -176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 2*c - 316 = -8*c - 674, 5*c + 355 = 4*y for y.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 87989654 to the power of 1\/4, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2883*-22.\nAnswer: 63426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1565491120.\nAnswer: 2, 5, 163, 271, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 14 = -3*m, 5*j = -7*m + 4*m + 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 231509431.\nAnswer: 953, 242927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mq when two letters picked without replacement from qmmmmmmqm.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.04 in 21\/13, -5, -39, -0.3, 4\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 2*r - g - 200, 2*r - 4*g - 390 = 0. Let d = r + -145. Let v = d + -55. Solve v*k = -0*k - 15 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 477.9029 millilitres?\nAnswer: 0.4779029","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 810.6178 grams?\nAnswer: 810617800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxjx when four letters picked without replacement from xjxxxxjjxxjxjjxxjjjj?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -89813 greater than -89816?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1920 and 140?\nAnswer: 13440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 7*t - 6*t - 5*t + 2. Let b be f(1). Calculate the common denominator of b + 6 - 236\/(-40) and 43.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*j + 5*j - 9 = -3*v, 5*v - 22 = -2*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -i - 2*u, -18*i + 15*i - 5 = 4*u for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -306 = 42*l - 2658. What is the least common multiple of 56 and l?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3410022 or -3410021?\nAnswer: -3410021","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 0. Let i = -549\/5 + 1093\/10. Which is the third smallest value? (a) 3 (b) x (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2)*(-15*y**2 + 21*y**2 + 3*y**2 - 17 - 2*y**2 + 3*y**2).\nAnswer: -20*y**2 + 34","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**10\/(m**(3\/2)*m))\/(m**(-2\/5)*m\/(m**(-4)*m*m*m)) assuming m is positive.\nAnswer: m**(59\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a minute in milliseconds?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of -k**5\/15 + 10*k**2. Let u(h) = 2*h**2. Determine u(x(j)).\nAnswer: 32*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 7, 11, 17?\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -28 (b) 0 (c) 2 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 71 - 41. Let a(x) = 2*x**2 - 2*x - 79. Calculate the smallest common multiple of a(8) and o.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from djjddjjdjdk. What is prob of picking 2 d and 2 j?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3343005079 to the power of 1\/4, to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1956197, 3912435, 5868673, 7824911, 9781149?\n\"Answer: 1956238*j - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -354038 - 251?\nAnswer: -354289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -214*c + 55*c - 9*c**3 - 2 + 2.\nAnswer: -9*c**3 - 159*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 - (-5*2)\/(-5). Suppose o = -2*k - 7 + 55. Calculate the highest common factor of 60 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106374?\nAnswer: 2, 3, 17729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a**3 + 8*a**2 - 3*a - 13. Let g(l) = -3*l**3 - 17*l**2 + 5*l + 26. Let f(w) = 3*g(w) + 5*y(w). Calculate the remainder when 23 is divided by f(11).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25 + 18. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -6*r**2 + 4*r**2 - 36*r + 4*r**2 - 6*r**2 - r**2. Let m be s(-7). Suppose 1 - 11 = -a. Solve 2*o - m*o - a = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 - 2*s + 5. Is x(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/2))**(-2\/73)*(d**1)**(-13) assuming d is positive.\nAnswer: d**(-948\/73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 2*k - 24 = h, 4*k - 8 = 2*h. Let q = -67 + 99. What is the highest common factor of h and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**0)**(-35)\/(j*j**(-2\/7)*j)**(14\/11)*(j\/(j*(j*j**(-2\/5)\/j*j)\/j))**1\/(j*j**1)**(-2\/31) assuming j is positive.\nAnswer: j**(-2818\/1705)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/8 and -97\/4158.\nAnswer: 16632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36926021?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 + 0*r + 0*r + 0*r. Let d(c) be the third derivative of 0 + 0*c + 0*c**4 + 0*c**3 + 3*c**2 - 1\/30*c**5. Calculate y(d(z)).\nAnswer: 4*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 438 and 2411482?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9593.115 millilitres?\nAnswer: 9.593115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f + 0*f + 2*f. Let b(n) = -2*n. Calculate j(b(g)).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 - -46. Suppose 16 = 38*g - j*g. Solve -5 = -4*d + g*z - 5*z, 5*d - 5*z + 25 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of 0*z + 1\/36*z**4 + 0 + 1\/945*z**7 - 1\/180*z**6 - 1\/54*z**5 + 4\/27*z**3 + 45*z**2. Factor t(o).\nAnswer: 2*(o - 4)*(o - 1)*(o + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 9:49 PM?\nAnswer: 11:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c**3 + 5*c**3 - c**3 + (-3*c**2 + 2*c**2 + 2*c**2)*(-c - 3*c - 2*c) - 36*c - 30*c - 8*c**3 + 64*c.\nAnswer: -13*c**3 - 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in thirteen fifths of a microsecond?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5088802?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33453680.\nAnswer: 2, 5, 13, 19, 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -396 or -4350\/11?\nAnswer: -396","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*y, 1 = -b - 2*b + 5*y. Suppose 0 = -c - 0*c + b. Let r be (-1)\/(-4) - (-126)\/c. Calculate the greatest common divisor of 64 and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, -1\/3, -3, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fq when two letters picked without replacement from {o: 1, q: 1, v: 1, x: 1, f: 5, g: 4}.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2126157 and -0.1.\nAnswer: 212615.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(55)\/(sqrt(20)\/sqrt(4)) - sqrt(396)) + -4)**2 - (-3 + 0 + (1*sqrt(132))\/sqrt(12)).\nAnswer: 39*sqrt(11) + 294","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.03, 2\/9, 1\/5, -0.06081, -4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.03 + -0.03. Suppose 0 = 4*i + 1 + 15. Which is the nearest to 0.1? (a) x (b) -6 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66346877 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 11) to base 10\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of d**8\/896 - d**7\/112 + d**6\/32 - d**5\/16 + 5*d**4\/64 - d**3\/16 + 2*d**2. Suppose c(k) = 0. What is k?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107 is divided by 37.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/16264 and -105\/8132?\nAnswer: 16264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1372268 divided by 4?\nAnswer: -343067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 72961969 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of 2*t**3\/3 - 19*t**2\/2 + 126*t + 114. What is the derivative of d(k) wrt k?\nAnswer: 4*k - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2980 and 608420.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -413 * 48\nAnswer: -19824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 92 - 74. Calculate the least common multiple of f and 24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5767?\nAnswer: 73, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of 4*v**6\/15 + 3*v**3\/2 - 76*v**2. Find the first derivative of i(g) wrt g.\nAnswer: 96*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 127 - 3?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9.6 + 4.6. Let o = -2.1 + 0.1. Which is the nearest to o? (a) -4\/3 (b) t (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 + 1. Let d(b) = 20*b**3 + 9*b**2 - 2*b - 9. Let o(g) = 16*g**3 + 8*g**2 - g - 8. Let r(t) = -2*d(t) + 3*o(t). Determine 6*q(y) + r(y).\nAnswer: 8*y**3 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 7728769*q. Let x(v) = -9*v. Calculate g(x(t)).\nAnswer: -69558921*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -11*q + 53. Give s(8).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (16\/(-4))\/(-4) + 2. Let t = 0 - 2. Let s be (-1 + t + n)\/1. What is s rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 370*k**3 + 14*k - 1. Let h(j) = -123*j**3 - 4*j. Determine -7*h(m) - 2*x(m).\nAnswer: 121*m**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 144*h - 13.\nAnswer: -144*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -33 - -102. Suppose -73*j = -g*j - 752. Is j a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -43623\/5 + 8725. Which is the third biggest value? (a) 3 (b) 108 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 756 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -148 or -175?\nAnswer: -148","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12220?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 6710.8 millennia?\nAnswer: 67108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30 and 540?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (592\/37 - 6) + (3 - 3).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 13 + 27 = 0. Sort r, -1, 113 in ascending order.\nAnswer: r, -1, 113","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 5, e: 2, j: 4}. Give prob of picking 2 j and 2 e.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 - -33. List the prime factors of i.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -8*i - 0. Let j(g) = -19*g - 9. Let y be j(i). Sort -4\/5, y, 1\/9 in increasing order.\nAnswer: -4\/5, 1\/9, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 2\/21, 1, -2\/77, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3784.02 - -3819. Let l = x + -35. Let k = -8.5 + 8. Which is the nearest to l? (a) k (b) 1 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/21 and -76\/33?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a6 - 3aab?\nAnswer: -3a05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34920 and 30600.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/((-210)\/(-58)) - (-2)\/5?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 644729 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5420 divided by -223.\nAnswer: -5420\/223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 65 and 1703?\nAnswer: 8515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 390701222?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 553756.687 plus 7.7478?\nAnswer: 553764.4348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 88*(1 + -2) - 2. Suppose 0 = -5*a - 5*m - 325, 4*a - 2*m = 13*a + 606. Let j = a - t. Calculate the smallest common multiple of j and 2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + -25326?\nAnswer: -25331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 + 10*w. Calculate q(7).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 2*b + 592 = 0, -b + 119 + 5 = -z. Calculate the common denominator of 17\/20 and 1\/(1\/2) + 411\/z.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 0*d - 12. Suppose 0*r - d*r + 21 = 0. Calculate the remainder when 34 is divided by r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*d**3*f**2*o*q - 3*d**3*f**2*q - d**3*f - 2*d**2*f*o - 15*f**2*o + 3 wrt q.\nAnswer: 8*d**3*f**2*o - 3*d**3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*b**2 - 8*b + 2*b**3 + 17 - 25*b**3 + 3*b**3 + 9*b - 19 in the form p + n*b**2 + s*b + c*b**3 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3 - 2.7. Suppose 5*m = -n + 4 + 17, -4*m = -16. Suppose -n = -g - 2*f, -g + 3*f = -6*g - 2. Which is the biggest value? (a) g (b) r (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 222 + -122. Suppose -5*b = -3*q - 91, 3*b - 93 = -2*b + 4*q. Suppose -t = b - r. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.04 - 3.04. Let t = 9.99 + -4.22. Let g = -6 + t. What is the fourth smallest value in g, c, 2\/9, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y - 1. Let d be u(-5). What is the second derivative of j**4 + 4*j**d + 9*j - 3*j wrt j?\nAnswer: 60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2248208 and -3.\nAnswer: 2248205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11639488 and 2800.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 + 4*l**2 - 2*l. Let i be n(3). Let h be 0*(3 - (-1 + i)). Let p(v) = -v**3 - 13*v**2 - 13*v - 11. Let k be p(-12). Are h and k non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -727 or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 113 (base 7) to base 4\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110001000001010101 (base 2) to base 9.\nAnswer: 335378","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + -25 + -26 + 27 - (0 - -9).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q*q**(-2\/3)*q*q)\/q)**(-19\/5)\/(q\/(q*q*q**1))**(-28))**(2\/13) assuming q is positive.\nAnswer: q**(-1946\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3909849.\nAnswer: 3, 1303283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_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: b\"What is the jth term of -23705, -22841, -21375, -19301, -16613?\n\"Answer: j**3 + 295*j**2 - 28*j - 23973","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 170 (base 9) to base 12\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 884993561 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.28253286 to two decimal places.\nAnswer: -4.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 + -9)*35\/(-10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7105772*n**4 - 42890*n**2 - 4 wrt n?\nAnswer: 170538528*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b, 1 x, and 1 h when four letters picked without replacement from {h: 1, c: 3, b: 4, x: 11}.\nAnswer: 11\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/2, 0.4, 6, -52, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*r - 26*r - 28*r + 263871 = 0. What is the thousands digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2 + 0 - 1 + 2*c - 1. Let k be d(4). Find the second derivative of 4*g**k + g - 3*g**4 + 5*g - 4*g wrt g.\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c**2 + 254. Let b(z) = -293*z**2. Determine u(b(s)).\nAnswer: 171698*s**4 + 254","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 6)*(5 - 21*p**2 - 112*p**3 + 135*p**3 - 6)*(4*p - p - p) - p**4 + 3*p - 3*p + (0*p**2 + 0*p**2 + p**4)*(-1 + 2 - 3).\nAnswer: -187*p**4 + 168*p**3 + 8*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 284048 divided by 71012?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -5*l - 3. Let i = 156 + -138. Calculate the remainder when i is divided by l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 745 = 44*t - 49*t. Let r = t + 161. Solve -r*p = -7*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 5 (b) -1\/6 (c) 0.287 (d) 3 (e) 285\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.698872 - -0.6861. Round u to four dps.\nAnswer: -0.0128","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - 2. Let k = p + 4. Let v(z) = z**2 - 19*z - 37. Let u be v(21). Solve -4 - k = u*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11189277*o + 10884496.\nAnswer: 11189277","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -12 - 16. Calculate the remainder when (226\/2034)\/(4\/2700) is divided by g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 5 = 3*q - 3*l, 0 = -4*q + 4*l - 4. Suppose 4*f + 13 = -q*k, 0*k + 3*f - 13 = k. Let t = k + 56. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-6))\/((-240)\/(-360)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q + 1. Let o be v(-1). Let n(d) be the first derivative of -2 + 0*d**o - 1\/2*d**4 + 2\/3*d**3 + 0*d. Find the third derivative of n(a) wrt a.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**3 + 4*i**3 - 2*i**3)*(i - i + i) + (1 - 12 - 14)*(-2*i**4 + 0*i**2 + 0*i**2).\nAnswer: 52*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bybybbyb. What is prob of picking 1 y and 1 b?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 288672.3.\nAnswer: -866016.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 - 7*l**2 - 27*l + 24. Calculate d(10).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*x**2 - 26739 + 26739 + 7*x**2 + x**2.\nAnswer: 17*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 425615216 to the power of 1\/2, to the nearest integer?\nAnswer: 20630","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*i + 282 - 282.\nAnswer: 26*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 359 (base 13) to base 9.\nAnswer: 715","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 11) to base 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 341 - 186. Let m = 154.97 - r. Let y = -0.4 + 0.8. Which is the closest to 0? (a) -2 (b) y (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1152.45 - 1152. What is the second smallest value in 0, 0.08, r?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9696 and 652.\nAnswer: 6321792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 5*j - 0. Suppose f - 4*l + 8 + j = 0, -2*l + 2 = -3*f. Sort f, 0, -5 in decreasing order.\nAnswer: f, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.5 - -6.5. Let s = -351.7 - -352. Which is the biggest value? (a) p (b) s (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 - 4*r**2 - 2*r. Let s be y(6). Calculate the greatest common divisor of s and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*x - 1272 - 5420 = 0. Let f(r) = -477*r - 3 + 3 + x*r. Let o(y) = -9*y**2 - 8. Determine f(o(i)).\nAnswer: -9*i**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven sixths of a hour?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -91 + 197. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - y - 6 = 2*y, -4*s - 14 = -y for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30 - 195 + 27 + 50 + 36 + 28 - 5*c + 33.\nAnswer: -5*c + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 928776.9 hours?\nAnswer: 55726614","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000070253 to seven dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 73778.43 millennia?\nAnswer: 885341160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 13*r**3 - 3*r**2 - 9*r + 5. Let g(x) = -6*x**3 + x**2 + 4*x - 2. Determine 5*g(j) + 2*n(j).\nAnswer: -4*j**3 - j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 3*i = -0*d - 3679, -3*d + 3*i + 2760 = 0. Suppose 3*x = -t + 64 + d, 0 = -4*x + 3*t + 1328. What are the prime factors of x?\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(-7)*(-6)\/32*108\/(-18)?\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(4 + 3 + (sqrt(49)\/(1*sqrt(7))*-6)**2).\nAnswer: -518","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 218 times 0.021?\nAnswer: 4.578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of -j**8\/168 + j**4\/12 + j**2 + 3. Let r(f) be the second derivative of d(f). Find the second derivative of r(h) wrt h.\nAnswer: -40*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 - 63*a + 4 - 16 + 3 in the form z + d*a and give d.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73543?\nAnswer: 251, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f\/f**(-4))*f*f)\/f*f)\/f*(f\/f**17)\/f*(f*f*f*f**(-9))\/(f*f**(-3\/4)\/f))**(-42) assuming f is positive.\nAnswer: f**(2121\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1940?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 11 + 31. Suppose -2*u - u - 12 = 0. Let v = u - g. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -4*i**2. Let u(h) be the third derivative of h**4\/4 - h**2 + 108. Give m(u(j)).\nAnswer: -144*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -14d (base 14) to base 5\nAnswer: -2030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*n + 9*j - 6*j = 133*n - 71*n + 25, 185*n - 2168 = -124*n + 5*j for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17*f - 4*f**2 - 17*f + 0 + 0 - 2*f**2 + (-2*f**2 + 0 + 0)*(1 - 4 + 9).\nAnswer: -18*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 486 and 276930?\nAnswer: 7477110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 2*y + 2*t - 26, 5*y + 2*t = 38. What is the tens digit of 737 + (3\/y*-2 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) - (sqrt(99) + -4))*6 - sqrt(99))**2.\nAnswer: -144*sqrt(11) + 675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 62\/6 + (8\/(-6) - -1). Let k be m\/195*-3 - 522600004\/(-26). What is k rounded to the nearest one million?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8547*b + 8547*b + 261*b**3 + (b - 2 + 2)*(-3*b**2 + 0*b**2 + 6*b**2) to f*b**3 + m*b**2 + g + o*b and give f.\nAnswer: 264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**5\/3 - 5045*b**4\/3 - 141916*b**3\/3 - 650368*b**2\/3 + 1731584*b = 0. What is b?\nAnswer: -16, 0, 4, 5073","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 66 and 4906?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 45041, 45044, 45047, 45050, 45053?\n\"Answer: 3*a + 45038","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**5)**(4\/11))**(-14\/9)\/((m*m**(-2\/3)\/m*m)**(-21\/4))**(-6\/17) assuming m is positive.\nAnswer: m**(-11599\/3366)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*u - 27*u + 6. Let l(m) = -35*m - 11. Let w be l(u). Let j = w - 109. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - 336\/54) + -1.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, 89, 258, 485, 764?\nAnswer: 1089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 + 3*d**2 - d - 2. Let p be u(-3). Suppose -5*l + p = 26. Sort -4, 1, l.\nAnswer: l, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -491 + 487. Which is the fourth smallest value? (a) 0.2 (b) 1\/2 (c) f (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 56094 to the nearest 1000.\nAnswer: 56000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -389 = -8*w + 435. Suppose -5*c - 211 = 49. Let i = c + w. List the prime factors of i.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + -202213130?\nAnswer: -202213130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.0388*-0.58\nAnswer: -0.022504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + 1837?\nAnswer: 1838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmmmmmmymmm. Give prob of sequence mmy.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -626*-2.\nAnswer: 1252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*m - 3*x, 3*m + 4*x + 6 + 0 = 0. Let a(y) be the second derivative of 7*y**4\/6 + 2*y**3\/3 - 2*y**2 - y + 5. List the prime factors of a(m).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 480372849.\nAnswer: 3, 11, 29, 6197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1480.00617 - 1480. Round f to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -967 in -0.24, 3.2, -1, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 42340968 and 156384.\nAnswer: 169363872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/7 - 338\/(-91). Let d(u) = 0*u**2 + t*u - 3*u**3 + 0*u + 4*u**2. Let l = -6 - -2. Let s(b) = 6*b**3 - 9*b**2 - 9*b. Give l*s(z) - 9*d(z).\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 47506 = -12186. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 - 2*g**2 - g + 3. Let s(f) = f**3 + 10 - 9 + 0*f**3. Let v be 2 - 5\/15*-3. What is v*s(p) - z(p)?\nAnswer: 2*p**3 + 2*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136576904.\nAnswer: 2, 41, 416393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 2 - 0. Let l be 1\/((-1)\/(-58)) - f. Let y = 87 - l. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 260 = 8*n - 9356. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of -h**5\/15 - 2*h**4\/3 - 2*h**3 - 4*h**2 - 8. Let u(g) be the second derivative of m(g). Factor u(z).\nAnswer: -4*(z + 1)*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 AM and 7:25 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (9\/(-12))\/(-1) + 26\/8. Let o(u) = 22*u - 22. List the prime factors of o(q).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 503\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-66)\/12*(-16)\/88)\/((-2)\/(-16))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y. Let z(f) = 36*f. Calculate i(z(l)).\nAnswer: 36*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*f - 35*f - 1456 = 91*f for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of i**4\/12 + 2*i**3\/3 + 2*i**2 + 37*i. Determine u(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6748951 to the nearest integer?\nAnswer: 2598","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 983.\nAnswer: 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 - -28. Let f be 2 + -1 - (-14 + x). Which is the closest to -1? (a) 4 (b) f (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/((-2)\/(-2)) + -309. Suppose -b - 2*b = 12. Is (1 + 0)\/(b\/l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -90*f**2 - 9*f - 17106 + 17106 as m*f + o + a*f**2 and give m.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 - 8*t + 6. Let w(b) = -5*b + 2. Let v be w(-1). Let j be f(v). Sort 1, -3, j in descending order.\nAnswer: 1, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 - (-2 - 986) - (-4 + -1). Let d = 1653 - g. What is the hundreds digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 46387 and 151812.\nAnswer: 1669932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 774*j - 1200*j + 432*j + 41.\nAnswer: 6*j + 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3f1fc6 + 3?\nAnswer: -3f1fc3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3368?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 86220\/27 - (-2 - 3\/(-9)). Suppose 40*v + d = 49*v. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fprllrfrllpl. Give prob of picking 3 r.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/618716 and 15\/2474864.\nAnswer: 2474864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*(f*f**(-9))\/f)\/f)\/(f\/(f**(1\/12)\/f)))\/((f*f\/((f\/((f\/f**(-2\/5))\/f))\/f))\/f*f)**(-11\/5) assuming f is positive.\nAnswer: f**(-1691\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p - p**3 + 4*p)*(-7 + 1 + 3)*(0 - 1 + 0)*(-4 + 3 + 3*p + 0).\nAnswer: -9*p**4 + 3*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 34845, 139370, 313579, 557472, 871049, 1254310?\n\"Answer: 34842*s**2 - s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + 10111011111100110110?\nAnswer: 10111011111100110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -2*a - 136, -3*m = -0*a - 2*a - 100. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -6*b. Let h be v(-1). Let u(p) be the third derivative of 1\/12*p**5 + 0*p - 1\/120*p**6 + 0 + 5\/24*p**4 - 4*p**2 + 7\/6*p**3. Determine u(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 11:00 AM?\nAnswer: 1:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 3*o**4\/4 + 399099*o**3\/2 + 12770631*o**2\/4 + 15364461*o + 19554675 = 0.\nAnswer: -266050, -7, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -23*j**3 + 12*j**2 - 5*j - 11. Let w(u) = 33*u + 2 - 6 - 8*u**3 + 41*u - 76*u - 7*u**2 + 11*u**2. Give 6*g(c) - 17*w(c).\nAnswer: -2*c**3 + 4*c**2 + 4*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 + 8*j + 15. What is f(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 60\/383 + -1569\/2681. What is the smallest value in 35, k, -157?\nAnswer: -157","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 29? (a) 5 (b) -5 (c) -2 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46939248 is divided by 4665?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 184763981 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25 - -30. Calculate the greatest common factor of m and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 2*k = -6. Find the third derivative of 0*o**2 - 17*o - 2*o**k - o**2 + 17*o wrt o.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108*w - 42 = -60 + 234. Let j(a) = -29*a - 9. Determine j(w).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 4061, 8120, 12179?\n\"Answer: 4059*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 1*sqrt(10)\/((-1*sqrt(55))\/sqrt(11)).\nAnswer: -5 - sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((p\/((p**(-4)*p)\/p))\/p)\/p)\/p*p)**(2\/95))**24)**(-32) assuming p is positive.\nAnswer: p**(-4608\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 47 - 45. Let i(r) be the second derivative of -7\/15*r**6 - 16\/3*r**3 - 4*r - 4*r**n + 0 - 1\/21*r**7 - 25\/6*r**4 - 19\/10*r**5. Solve i(v) = 0 for v.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 254 divide 180302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -271.5.\nAnswer: 1086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 470*p + 245*p + 237*p - 213*p.\nAnswer: 739*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 40 = g, 5*g - 11 + 31 = 0. Let j = 49 - 44. Suppose -12*o - 3*s + 44 = -8*o, j*s - 28 = -o. What is the remainder when l is divided by o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 194, 1020, 2478, 4568, 7290?\n\"Answer: 316*y**2 - 122*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2365950973 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -33*g**3 + 69063*g**2 + 1689222*g + 304848 = 0?\nAnswer: -24, -2\/11, 2117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/5 - 4\/(-20). Let z = -0.2 - 0.1. Let s = -1 - -0.9. What is the closest to s in -2, h, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llhh when four letters picked without replacement from {h: 16, l: 4}.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 398041 + -162400625\/408. Find the common denominator of w and 83\/16.\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/7)*s*s*s*s**1*(s**(2\/7))**(11\/4))**(-29) assuming s is positive.\nAnswer: s**(-2059\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r. Let q(b) = 82628*b**2. Give o(q(l)).\nAnswer: -165256*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 556 and 49312196?\nAnswer: 49312196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {y: 3, l: 4, x: 9}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.21 * -5\nAnswer: 1.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c - 1. Let l(a) = 5*a**2 - 15*a - 15. Determine 30*j(i) - 2*l(i).\nAnswer: -10*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-125)\/(-2)*(-360)\/(-38403). Let v = -321919077\/93874 + f. Let c = -3427 - v. What is the common denominator of c and -79\/18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 350555?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6906 = -7*i + 2922. What is the hundreds digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 + -3 + (0 - 1). Let p be 22 - 2 - (-1 - j). Suppose -m = -0*m - p. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fb when two letters picked without replacement from {b: 3, f: 2, t: 4}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 5:41 PM?\nAnswer: 6:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71.6781 nanometers to kilometers.\nAnswer: 0.0000000000716781","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 2*sqrt(612))*-5 - ((-4*sqrt(153)*-4 - sqrt(153)) + sqrt(153))\/sqrt(9)*5.\nAnswer: -140*sqrt(17) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of 31*m**5\/5 + m**4\/12 - 128*m**2 + 233*m. Find the third derivative of z(s) wrt s.\nAnswer: 744","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7990?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 0. Let w be (2\/4)\/(d\/16). Let x = 5 - w. Sort x, 0, 1 in increasing order.\nAnswer: 0, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of s**5\/20 - s**4\/12 - 2*s**3\/3 + 26*s. Determine q(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-195)\/(-4095) - (-397382)\/21 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28537 is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000099552953 to 6 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 + -8. Let w = f + -3.11. Which is greater: 0.2 or w?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 149400 divided by -600\nAnswer: -249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1f58 (base 16) in base 9?\nAnswer: -12005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*w**2 - 2*w**3 + 64*w - 6*w**2 + 45*w to the form j*w + b + p*w**3 + m*w**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1098?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/2 or 6955933\/2?\nAnswer: 6955933\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -1826*y + 12777. Let i be c(7). Suppose -6 = 10*v - 7*v. Sort i, -6, v, 0.\nAnswer: -6, i, v, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 - 10*f**2 - 12*f - 11. Let o = 153 + -142. Calculate v(o).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/3)\/((f**(-4)*f)\/f))\/(f**0)**46 assuming f is positive.\nAnswer: f**(14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**2\/15 - 1922356*v\/15 + 640786\/5 = 0. Calculate v.\nAnswer: -961179, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32782?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) -0.04 (c) -0.4 (d) 13 (e) 0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 135*i - 1898. Let p be f(14). Let r(b) be the third derivative of b**4\/24 + b**3\/3 + 7*b**2. Give r(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*w + 3*h = 14*w - 27, -17 = 4*w + h for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 5545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 160 and 410.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17\/((-119)\/(-76)) + (-1 - -133)\/(-11).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -4*h - 6*s + 3*s, 0 = 3*h + s - 18. Let p be 0 + 2\/3*h. Solve 3 + 1 = -p*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1495840909 and 0.3?\nAnswer: -448752272.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 + 5*m**2 + 6*m. Let u be k(6). Suppose u*w - 5*w = -70. List the prime factors of w.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**2 + 2 - 2)*(-c - 4 + 4) + 3*c**3 + 0*c + 0*c + 137312 - 4*c - 137312 - 70*c**3.\nAnswer: -69*c**3 - 4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 9:17 AM?\nAnswer: 4:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/236628 and 161\/582180?\nAnswer: 36677340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.167 in 3.7, 7, -1.3, -4\/7, -1?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 2\/125 of a tonne?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-2\/7))**1\/(i**(2\/5)\/(i*i**(-3)))*(i**(-7)\/(((i**(-2\/19)\/i)\/i)\/i*i))**8 assuming i is positive.\nAnswer: i**(-26781\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 + 23*m**2 + 24*m + 42. Determine t(-22).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 108727 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.533, -2.05, 2, 4 in descending order.\nAnswer: 4, 2, -0.533, -2.05, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2705 by 541.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 282 a factor of 79100436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8033.745 months to centuries.\nAnswer: 6.6947875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*r = -4*r + 58 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -4 (b) -6 (c) -1\/6 (d) 70 (e) 14\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 97 - 99. What is the fourth smallest value in 10, h, 4, 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkxzz. Give prob of sequence zx.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11563 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1260188942 to the power of 1\/5, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108924 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1283836210 to the nearest integer?\nAnswer: 35831","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 2 + (-20 - -8 - -19) + -10 + 60\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27d664 (base 14) to base 10.\nAnswer: -1381496","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-23)*l*l*l**23*(l*l\/l**(1\/9))**2)**(2\/13) assuming l is positive.\nAnswer: l**(122\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w and 1 t when four letters picked without replacement from {k: 3, t: 1, o: 3, w: 6}?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 109.8 to the nearest ten.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 61195\/16 - 3829. Calculate the common denominator of 101\/2 and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 55 = -8*j - 2*v, j = 2*v - 1. Let u = -5 + j. Suppose -k + u*k - 111 = 0. Does 9 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 122720644?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2825\/11 + -257. Let g be (-3)\/(-4)*(-2)\/(-3). Which is the nearest to 2\/3? (a) g (b) -1 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18a51 (base 14) in base 9?\nAnswer: -104532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-5\/3)\/j)\/j)**(-29)\/(j*j*(j\/(j\/(j\/(((j*j**4\/j)\/j)\/j)))*j*j*j)\/j*j)**21 assuming j is positive.\nAnswer: j**(67\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 0.3, -0.5, -2, -1268?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -131225 - -2?\nAnswer: -131223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-33)\/(-3) + (-4 - 2). Find u, given that 137*u**4 - 4*u**g - 176*u**4 + 13*u**3 + 10*u**2 - 11*u - 3 + 21*u**3 + 13*u**5 = 0.\nAnswer: -1\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 6, q: 2, m: 1, z: 9}. What is prob of sequence qm?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 + 4\/6)\/((-2)\/(-15)). Does 6 divide ((-36)\/5)\/(-2 + (-18)\/m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71371 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -70*w - 416. Let y be t(-6). Solve -9 = -x - 5*u, 0*u - 3 = -5*x - y*u for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v**2 - 57*v + 3004. What is s(27)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1939*l + 427644 = 1455*l for l.\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1083843 to the power of 1\/2, to the nearest integer?\nAnswer: 1041","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1102644675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -14*h**2 + 198*h - 7. Determine u(14).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 0.1, -0.13, -5 in decreasing order.\nAnswer: 14, 0.1, -0.13, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a milligram in micrograms?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3549 and 231?\nAnswer: 39039","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 127, 4, 5, -3, 3718, -5 in increasing order.\nAnswer: -5, -3, 4, 5, 127, 3718","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/(i**(-1\/7)\/i)*i*((((i*((i**(-26)*i)\/i)\/i*i*i)\/i)\/i)\/i*i)\/i)**(-33))**(38\/3) assuming i is positive.\nAnswer: i**(66880\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1185 (b) -3.2 (c) 1\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i**5\/7 - 3384*i**4\/7 - 112044*i**3\/7 + 760608*i**2\/7 + 38022912*i\/7 + 72161280\/7 = 0.\nAnswer: -24, -2, 18, 1160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 + 9*c + 2. Let z be l(9). Suppose 5*o - 10 = -z*j + 3*o, -3*j = -4*o - 15. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -4059\nAnswer: 1\/4059","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37 + 5 - 13 - (-7 + 5).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 53396.453 rounded to the nearest ten?\nAnswer: 53400","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Solve -174*b + 253*b - 4592 = -249*b for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2300?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1681068433?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -133 + 596. Suppose -1122 = -5*s + c. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + 116. Suppose -3*t + x = -2. Suppose -2*q + t = -1. List the prime factors of q.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*p**5 - 11*p**5 - 3 + 34*p**5)*(-3 + 0 + 1)*(-6 + 1 + 3)*(-1 + 5 + 0).\nAnswer: 48*p**5 - 48","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3536 divided by 221.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 - 5*k**2 + 3*k + 5. Let b be p(4). Let h(v) = v**3 - v**2 - 134. Let x be h(0). Let a be 6\/14 - x\/(-182). Which is greater: b or a?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -43*t + 135 - 26*t - 131 + 114*t. Let j(u) = -3239*u - 287. Determine 287*a(k) + 4*j(k).\nAnswer: -41*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/4*1*0. Let s = 494759\/15 - 32983. Is s less than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-430)\/(-40) + (-1)\/(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 2 = 4*c, 0 = 3*u - 4*c - 0 + 6 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - f + 1238, 2*f + 149 + 339 = 2*g. Suppose 0*o - 3*o**2 - 2*o + g*o**3 - 246*o**3 + 2*o**2 = 0. Calculate o.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38 + 23 + -2 + 38 + 3 + -1\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 8, u: 5}. Give prob of picking 1 u and 3 m.\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 1106 = -332. List the prime factors of t.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (10 + -22 + 21)) + 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = -7*l + 21. What is the highest common divisor of l and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8.2 + 8.7. Let s = -1 + 4. Let y = 0.28 + 0.02. Which is the second biggest value? (a) u (b) y (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 7313446.\nAnswer: 2925378.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 414 in 3\/4, -3\/7, -5\/2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 14 + (-5 - 2)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 68893947?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -90655442*y**4 - 210625516*y**2?\nAnswer: -2175730608*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 3*n = -8, 3*d + d - 8 = -4*n. Let y = 16 + -14. Let w = -1.96 + y. Which is the biggest value? (a) -4 (b) d (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jnjndjddduwu. Give prob of picking 2 j and 1 u.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 - 3236*t - 423531. Determine y(-126).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -7, 5, -9, -1 in ascending order.\nAnswer: -9, -7, -3, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2\/15 of a decade?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 42250 - 42179. Solve z*l - 784 = -145 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75 = -8*q - 7*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/4))**(9\/11)\/(h**(-2\/5))**(-25\/6)*(h*h\/h**7)\/(h*(h*h**5)\/h)*h**6*h**7*h assuming h is positive.\nAnswer: h**(203\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, k: 2, o: 4, r: 1, z: 3}. What is prob of sequence voo?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1027d6 (base 16) to base 4\nAnswer: -10002133112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 221 divided by -6?\nAnswer: -221\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*b - 14*b - 12. Let j be 2\/(-8) + (-129)\/b. Calculate the greatest common factor of j and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1100106 - 5?\nAnswer: -1100114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 3*v**2 - 1. Let d be b(-1). Let n = -2128 + 2134. Solve -z = k - d, -n*k = -k + 4*z - 5 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**2 + 0*a + 0*a)*(0*a + 0*a + 3*a)*(1 + 1 + 1) - 3*a**3 - 9 + 9.\nAnswer: 6*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**2*q\/q**8*q*(q**(-1)*q)**(-2\/21) assuming q is positive.\nAnswer: q**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7057 is divided by 1052.\nAnswer: 745","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**(-7\/4)\/m)*(m*(m**(7\/4)*m)\/m)\/m)**(-2\/5) assuming m is positive.\nAnswer: m**(-11\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -4*u**3 + u**2 - u. Give p(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -43 - -50. Suppose 0 = -t*h + 2*h + 20. Let b(w) = -8*w + 11*w**2 - 7*w**2 + h - 3*w**2 - 2*w**2. Give b(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-90)\/(-4155)*3158\/(-56). Let g = -2\/277 - k. Calculate the common denominator of g and -73\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 5*r - 23062 = 0, 277*t + 2*r - 57655 = 272*t. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2*f + 6. Let c = -40 - -44. Determine s(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -235*l**2 - 54*l + 40*l + 232*l**2.\nAnswer: -3*l**2 - 14*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -1\/3, -30.03, -35?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*w**2 - 228 - w - 219 + 519 in the form d*w**2 + q + r*w and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -42156.7812 rounded to the nearest 1000?\nAnswer: -42000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1046)\/(-12552))\/(2\/(-27))?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1934322 and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of -2*p**5\/5 + p**3\/6 - 6*p. Find the second derivative of h(q) wrt q.\nAnswer: -48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84 - 42 - 4681*s - 42.\nAnswer: -4681*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42143548 divided by 1.\nAnswer: 42143548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of -d**4\/6 - d**3\/6 + 7*d**2. Suppose -f + 1 = -0. Determine r(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -172*x**2 + 147*x**2 - 281*x + 566*x - 285*x.\nAnswer: -25*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4\/27, -0.14774, -0.02?\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 39494933011 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 168\/(-98)*(-217)\/2. Suppose 3*c + f = 4*c. Let a = c + -122. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -195, -1\/8, 0, -2\/7.\nAnswer: -195, -2\/7, -1\/8, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -6*k - 1. Let c(p) = 135*p + 6. Determine -c(v) - 2*i(v).\nAnswer: -123*v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of j**3\/6 - 2*j**2 - 64*j. Suppose -n + 3*n = 8. Determine o(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28 and 252.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 2250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v = -2*h - 88, -h - v + 19 - 47 = 0 for h.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1477271 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -s - 5. Let v(c) = -c**3. Let o be v(s). List the prime factors of 3 - 0 - (0 + o).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 68 + -46 - (-19 - -47). Let x(n) = n**2. Let v(s) = 2*s**2 - 6*s - 6. Let i(y) = -v(y) + 3*x(y). Let d be i(-4). Which is greater: d or m?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 times 234900?\nAnswer: 1644300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.23155 + -0.33155. What is the second biggest value in -2\/9, 117, 0, k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2943 = -48*d - 639. What is the lowest common multiple of 64 and d?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114)\/(sqrt(200) + sqrt(200) + (sqrt(200)*2 - sqrt(200))))\/(5*sqrt(300)))**2.\nAnswer: 19\/2250000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1453325 is divided by 494.\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 241*p. Let j(k) = 26059*k - 6. Give v(j(g)).\nAnswer: 6280219*g - 1446","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25)\/350*-35*2\/5*-5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1048*q + 3 - 4 + 1 - 2*q**2.\nAnswer: -2*q**2 - 1048*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -4*t + 2. Let z = 16 + -10. Find the second derivative of -5*k**t + 4*k + 0*k - z*k + 2*k**4 wrt k.\nAnswer: -36*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/4)\/((-4)\/48). Let j = -4 + y. What are the prime factors of j?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-1 + sqrt(192) + 0 + (-3*sqrt(192) + sqrt(192))*6 - -2*(sqrt(192)*2*2 + -3))**2.\nAnswer: 1008*sqrt(3) + 5331","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1694?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4928740*r**4 - 2*r**2 - 26*r + 5423?\nAnswer: 118289760*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 + 35*y**2 - 203*y + 5744. Determine r(34).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4912267 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 204591 and -1?\nAnswer: -204591","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 27 = 11*v - 12*v, -3*v + 10 = x. Calculate the remainder when 931 is divided by x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1275 divided by -255.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, x: 3}. Give prob of sequence gx.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**4\/4 + 9*n**3\/2 + 9*n**2 + 15*n\/2 + 9\/4.\nAnswer: 3*(n + 1)**3*(n + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10\/(-200)*10*8\/22. What is the second smallest value in -14, 2\/9, -0.1, -25\/3, y?\nAnswer: -25\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 5*n = 3*r - 44, 0 = -n + 1. Let v be 9*(-1 + r\/3 + -3). Solve c - 16 = -v*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 PM and 2:11 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -68a1 (base 12) to base 5.\nAnswer: -333031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1 - (18 - 11)) + -4 - -3) + 18?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -296, -603, -934, -1301, -1716, -2191, -2738?\nAnswer: -3369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 7:13 AM?\nAnswer: 5:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 10*u + 29 = -6*u, 10 = 2*u. Let t(k) = -4*k**2 + 3*k + 4. Let d(z) = 6*z**2 - 3*z - 4. Let v(r) = 4*d(r) + 5*t(r). Determine v(l).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*1 + 14 - 0. Let l(c) = 11*c**2 - c**3 - c**3 + c**3 + 9*c + c**2 + 1 - 18. What is the tens digit of l(y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12)\/(-24) + 21\/(-34). Let g = 651.7 - 652. Sort g, x, -19, -1 in increasing order.\nAnswer: -19, -1, g, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*a + 32*a = 10053. Let j = 1117 - a. Find d, given that -2\/5*d + j - 2\/5*d**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 - 301404152*f.\nAnswer: -301404152*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -y - 8, -4*o + 7 = -5. Let c = -6 - 0. Let t be c\/30 - y\/10. Solve t = -0*k + 2*k - 3*b, 5*k = -5*b for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 PM and 11:02 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((8\/2)\/2)\/(-5). Let k = -0.8 + 0.8. Let i = 0.5 - k. What is the smallest value in n, i, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -15, -21 = -y - 0*x - 3*x. Suppose -714 = -0*c - y*c. Is 17 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4, -4, -6, -10, -16, -24, -34?\n\"Answer: -i**2 + 3*i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 37793091 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5841?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -351 - -1231?\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 5*w**2. Let d(c) = -11*c**2. Give -4*d(j) - 10*h(j).\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -665.712 rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 4)*(5*q - 5*q - q) - 2*q + q - 4*q + 48*q - 175*q + 41*q - 7 + 7 - 4*q.\nAnswer: -94*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 117697 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 7*z + 1. Let d be -2 + 3 + 2\/1. Let x = d - 2. Determine p(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 46 + -229\/5. Let i = -729 + 732. Which is the second biggest value? (a) y (b) i (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2779 times 0.2?\nAnswer: -555.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 h when two letters picked without replacement from okkahkshkkkakk?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20645 - 3779 - 3600 = -3503*u for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 2*s + 4*x - 8, -19 = -5*s + x. Let c be (3\/(-6))\/(s\/(-24)). What are the prime factors of (10\/c)\/((-4)\/(-30))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*k + 7 - 7*k - 7*k + (k - 2*k - k)*(3 - 4 + 3) to the form v*k + o and give o.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**0)**44*(p*p*p\/(p*(p\/(p\/(p\/(p*p*((p*p**0)\/p*p)\/p*p))))\/p))**25)**(-29) assuming p is positive.\nAnswer: p**(-4901)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 + 3 = -3*u - 2*y, 2*y + 2 = u. Suppose -3*c = u*k + 635, -c = 2*k - 113 + 326. Let d = c - -372. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_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: Let u = -0.7 + 0.46. Let x = -0.04 - u. Is 1 > x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 + 5*b - 3. Let u be n(-5). Let s be 28 + (-6)\/(-9)*u. Let w = -79\/3 + s. What is the closest to -3 in w, 0.1, -0.2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 53465, 213842, 481157, 855428, 1336673, 1924910, 2620157, 3422432?\n\"Answer: 3*s**3 + 53451*s**2 + 3*s + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*p + 4*h = -53*p + 23, -8 = -6*p - 2*h for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1870590 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 3*g + 9 = 0, 21 - 2 = 3*d - 2*g for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nky when three letters picked without replacement from {n: 1, k: 3, y: 11}.\nAnswer: 11\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/15 - (-38)\/10. Is (-4 + 30)\/(b\/14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.148369098 to 2 dps.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*c - 0. Suppose x - 14 - 3 = 0. Calculate the remainder when -1 + (-100)\/(1*c) is divided by x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28824819?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 580 + -540. Calculate the remainder when 277 is divided by x.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gvtlvvlelgveel. What is prob of picking 3 l and 1 g?\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 q when two letters picked without replacement from {m: 2, p: 1, r: 1, q: 1, f: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 + 4234 = -373*u - 251 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 4:21 AM?\nAnswer: 3:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide (-12)\/(-10) + -1 - (-838)\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 2464?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 22*x = -19*x - 9068, -3*x = -4*r + 36257. Does 28 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1774*h**2 + 3413*h**2 - 1910*h**2 - h**3 + 5*h**4 wrt h.\nAnswer: 120*h - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 19*q - 6. Let o(t) = -t + 1. Let l = -3045 - -3046. What is l*z(r) + 4*o(r)?\nAnswer: 15*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum 61 and -1.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8185275?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -201 (base 4) to base 16.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + -1142140?\nAnswer: -1142143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50699 is divided by 343?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1974624 divided by -5\nAnswer: 1974624\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = 2*k - 0*b + 18, -3*k = -5*b - 17 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/7)\/((-14)\/(-49)). Which is the nearest to 2\/5? (a) 4 (b) p (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 469 is divided by 68.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -247 + 732 + 2*v - 249 - 236 - 4*v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 + 11. Which is the second biggest value? (a) 2\/9 (b) -2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {k: 1, c: 2, u: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 51346.09km?\nAnswer: 51346090000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 6 + 4 + (-7 - 2 + 1)*(-2 + 2 + 1))*(3*j + j - 5*j)*(-2*j**3 + 2 + 2 - 6) in the form m*j**4 + n*j + i + u*j**2 + d*j**3 and give n.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -47*i**2 - 10874*i - 10875. Calculate k(-1).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.42 - -0.02. Let d = 3 - 2. Suppose h = 4*o - 0*h + 17, 3*o + 24 = 3*h. Which is the smallest value? (a) x (b) o (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + y = 4*x + 12, -5*y + 31 = 3*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-10)*y\/(y*y**8))**(-2\/27) assuming y is positive.\nAnswer: y**(4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 1071 divide 1550479954?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 974385?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -118*x**2 + 91*x - 17*x + 120*x**2 to i*x + u*x**2 + c and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.2 (b) -84 (c) -50\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19864?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/65 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -32*532.9\nAnswer: -17052.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25*k**3*r**5 - 130*k**3*r**4 - 1639*k**3*r**2 - 2*k**3 wrt r?\nAnswer: 1500*k**3*r**2 - 3120*k**3*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5729\/19030 + 2\/1903. What is the nearest to -2\/9 in 1\/4, 5, u, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 63*c**2 + 1. Let s be d(-1). Suppose -4*i = -8*i + s. Calculate the greatest common factor of i and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140966047 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -364630.19 rounded to the nearest 10?\nAnswer: -364630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*o - 688 - 1112. Solve 0 = -29*y - 7*y + o for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(70)*4)\/sqrt(2) - sqrt(35))\/(sqrt(7) + (sqrt(84) + sqrt(84)*-4 - sqrt(84))\/sqrt(12)))**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13315?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (7*4\/6)\/(12\/(-126)). Let d = o - -43. Let k(f) = -f**3 + f. Let a(i) = 9*i**3 - 2*i**2 - 6*i. Calculate d*k(h) - a(h).\nAnswer: -3*h**3 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 3 - -3) + -1358 + 1354?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26 + -13. Determine r, given that -3*r**2 - 3 - 11*r + 4*r + w*r = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 4 - 10 = 4*v, 2*d - 2*v = 12. Find the second derivative of 3*i**d - 2 + 1 + 1 + 2*i wrt i.\nAnswer: 60*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13849.\nAnswer: 11, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 5278642?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 - 6*u - 12. Let f(c) = -1. Let k(o) = 5*f(o) - i(o). Let z be k(5). Calculate the highest common divisor of z and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 350 (base 6) to base 12\nAnswer: b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*s + 3. Suppose 4*m - 2 = -4*y - 14, 0 = 2*m - 4*y - 24. Let x(d) = 7 + 0*d + d**2 - m + 6*d + 1. What is x(s)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 a when three letters picked without replacement from akaaaaaaaaaakka?\nAnswer: 198\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1275 is divided by 79?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-52)\/3 - ((-2296)\/84)\/(-41)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7122888.\nAnswer: 2, 3, 98929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -5 (b) -16.83 (c) -7 (d) -2\/1515 (e) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-1\/6))**22)**(3\/5)*(n**7\/(n\/(n*(n\/(n**(1\/4)*n))\/n*n)*n))\/(n**(-1))**(-2\/39) assuming n is positive.\nAnswer: n**(2605\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 - 229*r - 12175. Determine q(-82).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9.6 - 6.7. Let t = 249 - 246. Let b = t - z. What is the fourth biggest value in b, 7, 0.2, 0.4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of 55*k**4\/6 + 5*k**2. Suppose 0*p = 4*p + 20. Let t be i(p). What is t rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 - 4*k - 18. What are the prime factors of s(17)?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.93*5492.8.\nAnswer: -5108.304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -94176*s**4 + 189903*s**2 wrt s.\nAnswer: -2260224*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 47 + 20 - 3. Calculate the least common multiple of 662 and p.\nAnswer: 5296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-563832)\/84 - (4\/(-14) + 0). Let f = 67 - g. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 4)*(-34*f**2 + 16*f**2 - 58*f**2) + (2 + 5 - 4)*(-2*f**2 - f**2 - 5*f**2).\nAnswer: -404*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -19 less than or equal to -3802\/195?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2144\/7 + 36462\/119. Let v = 6 + -3. What is the nearest to -3 in -0.1, v, r?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of 47*g**5\/60 - 131*g**2. Let a(d) = 6*d. What is c(a(b))?\nAnswer: 1692*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 204 = -4*r + 456. Let g = -1.5 - -3.5. Sort -4, r, g in descending order.\nAnswer: r, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7\/40056 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mrm when three letters picked without replacement from rrrrrrrmmrmrrm?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 - 4*t - 3. Let u be v(6). Suppose -3*p + 19 + 2 = 0. Let k = u - p. Solve k = -y - 3*d, -3*d + 4 = 10 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.0922 - 0.0922. Which is the nearest to -4? (a) w (b) 2\/5 (c) 4 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 3 + 6 + q as l*q + k and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 + 25. Suppose -n + 24 = 2*o. List the prime factors of o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 8406\/(-558) + -2 + (-192)\/(-93).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9.05 - -466.95. Let g = -475.841 + s. What is g rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**4 + 3*n**3 - 19*n**2 - 87*n - 90.\nAnswer: (n - 5)*(n + 2)*(n + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -46 + 48 - (6 + -3 + 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 49041799 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2004*n + 31. Is u(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-42)*49\/(-70)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7144874 and 616?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/12 + 0)*((-236)\/8 + -11).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/sqrt(32) - (-1 + (0 + sqrt(5))**2).\nAnswer: -4 + sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1347 divided by 3\nAnswer: -449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -27 (b) 5 (c) 7.9 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/4754 != 365?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1251*0.3\nAnswer: 375.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2 and 29.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 26914*i*v - 15713*i wrt v.\nAnswer: 26914*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 375 = 5*k + 398, u = -11*k - 35 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r**3 + 18*r**2 + 23*r + 42. Determine n(-8).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*(-5 - 2 - -4). What is the second derivative of -164*p**3 + 3*p**4 + 164*p**x - 12*p wrt p?\nAnswer: 36*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 5*i = 32, 3*j = -0*i + i - 5. Let n(z) = z**3 + 2*z**2 - 2*z + 4. Give n(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1035 - 15713.\nAnswer: -16748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of 3*u**2\/2 - 4*u + 1. Let g(o) = 2*o + 12. Let t(d) = d + 7. Let i(m) = 4*g(m) - 7*t(m). Calculate 2*h(x) - 7*i(x).\nAnswer: -x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003911462851 rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5416231, 10832464, 16248697, 21664930?\nAnswer: 27081163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 4 = 0, 2*c + 4*i = 5*i + 20. Suppose -d + 3*a = 46 + 80, -5*a = -5. What is the remainder when (-1 + -1)*d\/6 is divided by c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 105 and 2417640.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ycpc when four letters picked without replacement from {c: 5, y: 3, p: 3, g: 1}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.33 - 0.03. What is the closest to f in 5\/3, 1\/2, -4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 10*u + 6*u + 10 = 0, 0 = 4*u. Let p(z) = -z + 13. Let g be p(11). Let l be 1 + (-2)\/g + 2. Sort b, 0, l, 1 in decreasing order.\nAnswer: l, 1, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1283 + -1299. Let o = -0.14 - -12.14. Let i = o + a. Is i <= 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 632 - (4\/(-6))\/(24\/36) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-35))\/(8*-1)*-52*(-258)\/5031\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2\/921 - 10123\/3684. What is the common denominator of 64\/3 and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llgmlclhmllhmmllclcc. What is prob of picking 1 l and 1 h?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 388 divided by -388.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - w + 10, -5*l + 2*l - 8 = -w. Let v be ((-2)\/24)\/(l\/6). Which is the nearest to -1? (a) v (b) -1\/7 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 235917 and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 138 - 45. List the prime factors of a.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -3\/7, 2\/11, -0.62, 0.1 in descending order.\nAnswer: 2\/11, 0.1, -0.3, -3\/7, -0.62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-65)\/(-15)*(72\/54)\/((-4)\/9).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -72 + 83. What is the remainder when 12 is divided by h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117104*m + 117101*m - 84 = 0 for m.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8*s**2 - 272 - 26*s**2 + 2*s**2 - 263 - 116 wrt s?\nAnswer: -32*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 * 0.7\nAnswer: -0.021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-9 - (-7 + (-7 - -7))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5\/((-30)\/(-18)))\/(-5). Which is the smallest value? (a) -2 (b) 3 (c) -3 (d) x (e) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 6 = 6*j + 2*m, 2*m = -6. Suppose -2*d + 0*d = -408. Calculate the highest common factor of j and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 267 + -265. Sort 1, -2, c, -16 in decreasing order.\nAnswer: c, 1, -2, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -w**2\/2 - 16003*w\/2 + 8002 = 0. Calculate w.\nAnswer: -16004, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - i)*(-71 + 137 - 90)*(-5*i + 3*i - i).\nAnswer: -72*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 17\/2 of a hour?\nAnswer: 510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10404\/7 - 2\/7*o**3 - 200\/7*o**2 - 4794\/7*o.\nAnswer: -2*(o - 2)*(o + 51)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 800*h**2 - 2*h - 46?\nAnswer: 1600","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-258)\/(-54) - 2\/(-9). Let l be (-4)\/(3\/(-3)) + -3. Suppose 0 = -u - l + o. Solve -u = 2*k - 2 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v + 28. Let k(j) = -118*j**2. What is k(d(b))?\nAnswer: -118*b**2 - 6608*b - 92512","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, -15, -99, -271, -561, -999, -1615?\nAnswer: -2439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 14*p. Let f(a) = a**2 - a. Let c = 10 - 12. Let z(m) = m**2 - 2*m. Let u(h) = c*z(h) + 4*f(h). Calculate w(u(q)).\nAnswer: 28*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 - 17*f**2 + 7*f + 39. Let z be y(-17). Let v be (-1 + 13\/9)\/(z\/(-120)). Which is the smallest value? (a) v (b) -1 (c) 29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 at most 131?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of q**7\/280 - 9*q**5\/40 - q**4 - 15*q**3\/8 - 2*q**2 + 117. Let p(m) = 0. Calculate m.\nAnswer: -3, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -8*j. Let l(x) = -26*x**2. Let y(p) = -7*p**2. Let r(w) = 4*l(w) - 18*y(w). Calculate r(i(v)).\nAnswer: 1408*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 + 297*f**2 + 272*f + 7668. Determine h(298).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*l - 3*b - 37, 4*l - 5*b - 95 = -76 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1872426?\nAnswer: 2, 3, 312071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1530322 is divided by 2517.\nAnswer: 2503","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 less than 882602.40805519?\nAnswer: 882602.70805519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + d + 24 = 2*s, -27 = -2*s + 5*d. Let l be 1\/((1\/1)\/1). Let c = 11 - l. Calculate the smallest common multiple of s and c.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 130004419\/746580 - -3\/49772. Let t = o - 174. Let r = 237\/1334 + -5\/46. Which is the second biggest value? (a) r (b) t (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + 22043?\nAnswer: 22101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1706*-5355\nAnswer: -9135630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 297 is divided by 137.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 2*n = -34, -5*n + 9 = -6. Suppose -5*c + 4*j = -116, -5*c - 5*j + 53 = -3*c. Suppose 44 = 28*x - c*x. Which is smaller: l or x?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(6 + -2))\/(8\/(-48))\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 2*i + 10 = 0, -3*i - 9 = -0*i. Suppose -a*p + 138 = -2*q, 5*q + 201 = 2*p + p. Does 14 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 4*i - 700 = 0. Calculate the common denominator of i\/126*6\/(-4) and (((-2178)\/(-20))\/(-3))\/3.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -5*j + 100. Let l(r) = 3*r - 57. Let m(p) = 7*l(p) + 4*o(p). Let b(q) = -4*q + 8. Determine -b(g) - 3*m(g).\nAnswer: g - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/12)\/(6\/12). Factor 1\/3*g**2 - k - 1\/3*g.\nAnswer: (g - 2)*(g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0135449ml in litres?\nAnswer: 0.0000135449","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/4? (a) -16.5 (b) 7\/4 (c) -2 (d) 0.2 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k**4\/4 - 14515*k**3\/4 + 52880483*k**2\/4 - 1511809661*k\/4 - 8656073085 = 0. Calculate k.\nAnswer: -15, 44, 7243","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -9 (c) 5 (d) -1\/7 (e) 0.2 (f) 19\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u + 2*u + 2*u + (75 - 83 + 58)*(u - 2 + 2) + 0*u - 7*u - 10*u.\nAnswer: 35*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*m = 30*m. Solve w + m = -2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 4:22 PM?\nAnswer: 7:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 4*m - 8. Is m\/(-10)*(126 + -16) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**1)**(-35)*d\/(d\/(d\/d**(2\/9)))*d**(2\/9) assuming d is positive.\nAnswer: d**(-34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 222 and 851.\nAnswer: 5106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((-2014)\/230 + 200\/(-4600))\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 104244461 or 833955699\/8?\nAnswer: 833955699\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 7254?\nAnswer: 7254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w + 57. Suppose -2*q + 110 = 4*s, -3*q - 1 = -4. Let r be i(s). Solve -3*j + r = -6 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -89*s + 69*s - 160 = 0 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/7*(-18)\/(-72)?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2474979 less than 245?\nAnswer: -2474734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-6) - ((-129)\/18 - -5).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i + 2*i**2 + 2*i - 2*i**3 - i**2 + 3*i**3 to m*i**2 + r*i + h + j*i**3 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14 + 35*p**2 + 374114*p - 374114*p to g*p + y + q*p**2 and give q.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 10*x + 64. Let f(q) = -32. Let v(w) = 2*f(w) + o(w). Let c(y) = 66*y. What is v(c(t))?\nAnswer: 660*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1300245032?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 123191*l. Let w(u) = 2*u**2. Give w(q(c)).\nAnswer: 30352044962*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 67, 170, 273, 376, 479, 582?\n\"Answer: 103*y - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 7503, 15007, 22511, 30015?\n\"Answer: 7504*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -145.325 - -145. Let o = 0.125 + r. Let s = 0.1 - -0.1. What is the third smallest value in 1.3, s, o?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*v**2 + 11*v**2 + 22*v**2 - 97*v**2 - 5*v**3 - 30*v**3 + 38*v**2.\nAnswer: -35*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 44535174?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + g - 5*g)*(1840*g - 1840*g - 76*g**2)*(4*g - 3*g - 3*g).\nAnswer: -608*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 953076598 to the power of 1\/2, to the nearest integer?\nAnswer: 30872","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 14092.421 take away 2597?\nAnswer: 11495.421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 37305060*w**2 - 35283963.\nAnswer: 74610120*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-1))\/((4\/3)\/((-400)\/(-2100)*-63))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*m - 4330 + 4518 = 526*m + 7403 for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of 607*m**8\/56 - 1355*m**4\/24 + 2*m**2 + 13*m - 2. Find the second derivative of d(g) wrt g.\nAnswer: 72840*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -6366, -12667, -18916, -25113, -31258, -37351?\n\"Answer: 26*q**2 - 6379*q - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*j**2*x**4 - j**2*x**2 - 3*j**2*x + 28*j*x**2 + 33*x**4 wrt x.\nAnswer: 216*j**2*x + 792*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 221676 and 2107.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 162\/5 - 97\/3. Let v(t) be the second derivative of i*t**3 - 1\/12*t**4 + 0 - 1\/150*t**6 - 6*t + 0*t**2 + 1\/25*t**5. Find j such that v(j) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13557367 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -5*d + 3*z + 25, -4*z = -4*d + 32. Calculate the smallest common multiple of 22 and d.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/(r**(1\/2)*r)))**(29\/4)*(r\/((r\/(r\/r**0*r))\/r))**50 assuming r is positive.\nAnswer: r**(1287\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yywyyw. Give prob of sequence wyyy.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 12 - 14 = 2*d, 0 = 4*a + 20. Let g be -8 - -40 - (-1 - -1). Is g - 1 - (0 - d) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42.84*-0.4.\nAnswer: -17.136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 83, 102, 121, 140, 159, 178?\nAnswer: 197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 106410 and 1310.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -71458, -71515, -71572, -71629, -71686, -71743?\nAnswer: -71800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 220, 200, 180?\n\"Answer: -20*r + 240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -2*a + 5*a - 2, -u - 2 = a. Suppose a = -4*f + 3*j + 6, f + 5*j = 1 - 11. Sort f, 2, 3.\nAnswer: f, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10499403 (base 10) to base 5.\nAnswer: -10141440103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40743 and 1016793?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -133 - -132. Let d be 4\/(-12)*4*c. Factor -4*p**2 - d - 4*p - 4\/3*p**3.\nAnswer: -4*(p + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -149161\/18 + 8289. Calculate the common denominator of i and (-2)\/10*1965\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r - 1. Let w = 101 + -98. Give f(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003682878 to five decimal places.\nAnswer: 0.00368","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2333 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -2*u**2\/7 - 2124972*u\/7 + 6374934\/7 = 0.\nAnswer: -1062489, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -521 + 556. Let b(h) = -19*h. Suppose 0 = 4*y - z + 8, 0 = 2*y + z - 1 - 1. What is the remainder when s is divided by b(y)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3, 8, 19, 36, 59?\n\"Answer: 3*h**2 - 4*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.1+-17753\nAnswer: -17753.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5274439?\nAnswer: 1429, 3691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -3*s**2. Let v(g) be the second derivative of 11*g**3 + g**2 - 3*g - 34. Determine v(d(q)).\nAnswer: -198*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 6) to base 15.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 728730 is divided by 4026?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of a**4\/4 + a**2 + 23. Let d(q) = -3*q. Give -2*d(l) - 3*j(l).\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3925300 and 3400?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) 1146 (c) 2 (d) -1 (e) -0.086\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4312 (base 7) to base 14\nAnswer: -7b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6040 + 4?\nAnswer: -6033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f**2 + 5*f - 39. Calculate m(5).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21931 - -65797\/3. Sort q, 200, -3 in increasing order.\nAnswer: -3, q, 200","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 188112 and 28.\nAnswer: 1316784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 10 = 0, -r - 10 = -2*r - m. Let v(i) = -2*i**2 + 21*i - 14. Calculate the least common multiple of 18 and v(r).\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 713490 and 510?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 8*a = 3*a - 50, 0 = -k + a - 4. Let t = 57 + k. Calculate the highest common divisor of t and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**2 - 2*t**2 + 0*t**2 + (7 - 2 + 2)*(3 - 3 + t**2) + 0*t + t**2 + 0*t)*(-2 - 4 + 3).\nAnswer: -18*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 525\/196*(-140)\/(-100)\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-31050)\/(-2565) + 2\/(-19)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*2 + (22 - 48). Let r = -13 - y. What is the nearest to r in 0.4, -1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -238, -6, 1 in increasing order.\nAnswer: -238, -6, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -317*i + 3*z - 2856 = 0, -1294*i - 22 = -1292*i - 4*z for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 5*h - 1. Let c = 90 + -79. Suppose -8*n + c + 13 = 0. Let q(x) = -5*x + 18. Let s be q(n). What is p(s)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10455564.\nAnswer: 2, 3, 7, 124471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 AM and 3:18 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of -7 + 0 - (-815 + -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 956 - -1367. Suppose -2*k + 5*h + 1149 = 0, -4*k + 6*h = h - t. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-3)\/3 - 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1 - 33 - 76*b + 63*b wrt b.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 720231923 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p**3\/7 + 4*p**2\/7 - 68*p\/7 + 60\/7 = 0. Calculate p.\nAnswer: -5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 21 = n, 3*n - 15 = -v - 8 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(-6)\/(-12)*208\/24?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-745)\/60 - -11) + 6\/8)*630\/2800.\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 11682 + -29?\nAnswer: 11657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 5*o + 85, -5*o = -3*u - 4*o + 170. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 91 and 1211.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b - 36. Let w(n) = -197*n + 110. Determine 3*o(x) + w(x).\nAnswer: -200*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003098632 to six decimal places.\nAnswer: 0.003099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 21*(2\/4)\/(12\/8). Let p(s) = f - 3*s + 15 + 2*s + 21. Let n be p(14). Is 29 equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_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 -56704 divided by -886.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5436 - -4026. List the prime factors of y.\nAnswer: 2, 3, 19, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*m = 30*m - 194 - 26 for m.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 3*u**2. Let c(s) = -20184538*s**2. Calculate k(c(o)).\nAnswer: 1222246722820332*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -254*j - 159*j + 14475 = -19917 + 939 for j.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -8. Suppose j - u = 11. Suppose 2*c + 3*b = j, -4*c + b + 2 = -8. Solve 0 = c*d + 15 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, -0.3, -28 in decreasing order.\nAnswer: 19, -0.3, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -6*w**2 - 7*w - 19. Let u(m) = -3*m**2 - 3*m - 9. Let b(y) = -4*f(y) + 7*u(y). Suppose 2*p - 1 + 5 = 2*j, 2*j - 19 = -p. Is b(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1016 - 2016 + 954 - 2*t**3)*(0*t + t + t).\nAnswer: -4*t**4 - 92*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 21408*b - 16. What is p(0)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - 1*(4 - -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -238221 by 17.\nAnswer: -14013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 21*d**2 - 2*d + 2. Let w be y(1). Suppose -377 = -2*v + w. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3893 divided by 48?\nAnswer: -3893\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*w - 15*w - 25*w)*(-2 + 3 - 3)*(w + 2*w + 0*w)*(2 - 1 - 3) as q*w**2 + x + b*w and give q.\nAnswer: -396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 - -12*18\/27. Solve 3*f + 10 = -4*w, 5*f + 1 = i*w - 5 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -49 - -47. Let b be -2*-1*(-3)\/9. What is the nearest to 0 in 2\/11, w, b?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m + 1. Suppose 4*u - 5*u + 1 = 0. Let w be (-2)\/(u + (-15)\/10). Determine g(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1079191.2 minus 6558964?\nAnswer: -5479772.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2120010210 (base 3) to base 2\nAnswer: 1100010011100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-4)*0\/1. Suppose -2*n - 59 + 171 = i. Let f be n\/(-35) + (1 - -1). Sort 2\/7, 0, f in descending order.\nAnswer: f, 2\/7, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 294, 823, 1352, 1881, 2410?\nAnswer: 2939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 187085 + 22003 = -1388*u - 1351*u - 86724 for u.\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3072 and 3840?\nAnswer: 15360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddddddyy. What is prob of sequence yyd?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-15)\/10)\/(30\/(-80)). Solve 0 = 9*t - 5*t + 8, 0 = i*a - 2*t - 20 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(132)*-2*-2)\/((sqrt(120) - (sqrt(120) + (sqrt(120) + -2*sqrt(120))*-6))\/sqrt(10)).\nAnswer: 8*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -2823000 to the nearest 10000.\nAnswer: -2820000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-2*sqrt(8))\/sqrt(4).\nAnswer: -2*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 8*j + 1. Let l be -1 - (-3 - -6) - 94. Calculate the remainder when l*-2*1\/4 is divided by o(3).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + 0 + -152 + 145?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 2, 45.6, 1 in ascending order.\nAnswer: 0.5, 1, 2, 45.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -v - v - v + (-1 + v + 1)*(-3 + 4 - 3) + (3*v - v - 4*v)*(4 + 0 - 6) + (5*v - v - 3*v)*(-84 + 64 + 65) in the form a*v + s and give a.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -266315 (base 8) to base 12\nAnswer: -46065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*b**2 + 2 - 2 + 6*b**2.\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 5558565, 5558534, 5558479, 5558394, 5558273, 5558110, 5557899, 5557634?\n\"Answer: -z**3 - 6*z**2 - 6*z + 5558578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 22492.989us?\nAnswer: 0.00037488315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -20*v**3 - 51*v**2 - 162*v - 6. What is the remainder when u(-3) is divided by 71?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/20 in 0, 452, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 256095660577 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) 0.4 (c) -154\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -243868, -243890, -243942, -244036, -244184, -244398?\nAnswer: -244690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(1\/4))**(1\/19)\/((l\/l**(-13))\/l*l*l\/(l\/(l*l**5))))**(-15) assuming l is positive.\nAnswer: l**(22755\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 PM and 1:30 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -881 - -54623\/62. Let i = l + 59\/186. Factor -i*m**3 + 1\/3 + m**2 - m.\nAnswer: -(m - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -23*z**3 + 4*z**2 + z - 3. Suppose -m = -3*h + 20, 700*m - 5*h = 704*m - 22. Determine x(m).\nAnswer: 195","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.31 - -0.5. Round r to 1 dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v. Suppose -9*t - 20 = -z - 5*t, 10 = -3*z - 2*t. Let b(r) be the first derivative of -4 + 2\/3*r**3 + 0*r**2 + z*r. Determine j(b(f)).\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-81)\/324)\/((-14)\/8).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 217499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (20\/300)\/((8\/(-5))\/2)\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(0 + (-1*(sqrt(192) + 0) - (sqrt(192)*-1 + 1)**2)).\nAnswer: -8*sqrt(3) + 193","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 41 + 70254?\nAnswer: 70305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 220\/(-60) - (-1)\/(-3). What is the closest to 2\/5 in -0.3, 0.04, j?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -1 + 8*g + 11*g + g - 8 - 6*g. Let d(n) be the second derivative of 5\/6*n**3 + 0 + n - 3\/2*n**2. Determine 11*d(y) - 4*f(y).\nAnswer: -y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 19 = -79. Let a = -39 - n. Let j = 64 + a. Solve 0*w + j*w = -15 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 3*q - 32 = 0, -5*c + 5*q = -7 - 33. Calculate the remainder when 46 is divided by (c\/10)\/(1\/30).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/3 (b) -338 (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 118.2 from -0.33925.\nAnswer: -118.53925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in eleven halves of a hour?\nAnswer: 19800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 370 - 122. Suppose 3*f = b - 74. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 131 (base 14) in base 4?\nAnswer: 3233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*d**2 + 5*d + 198375*d**3 - 15 + 7*d - 198377*d**3 in the form i*d**3 + s*d + l + b*d**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, p: 2, a: 5, z: 3}. Give prob of picking 1 w and 1 z.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 249, 493, 737?\n\"Answer: 244*j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = -24*c - 39 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != -80?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**3 - 2*t**3 - 2*t**3 + (-t**2 - 3*t**2 + 3*t**2)*(-2*t - 2*t + 2*t))*(80 + 97 - 240).\nAnswer: 63*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55027 is divided by 373.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 - 5*n**2 - 18*n + 38. Let v be x(7). Is (692\/v)\/(-8*7\/(-1540)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 362\/11 or 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 67, 0, -1, 5 in descending order.\nAnswer: 67, 5, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 129193*j**4 + j**3 - 261067 wrt j.\nAnswer: 516772*j**3 + 3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 10:12 AM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*i + 282 - 186 = 0. Suppose 7*k - 2*k - 105 = 0. What is the remainder when k is divided by i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 74?\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 - j**2 - j - 1 - 2*j**3 + 5*j**3 - 2*j**3. Let t be y(2). Solve -2 = 2*l + 4*c, -5*l - 3*c - t = -25 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ye when two letters picked without replacement from wgwggwywwwwwegwy.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/7? (a) 35 (b) -0.07 (c) 3\/7 (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m + 1. Let q(x) = -13*x**2 + 52*x - 52. Let g(b) = 52*p(b) + q(b). Let l = 15189 + -7130. Let n(o) = 2*o**2 - l*o + 8059*o. Determine g(n(z)).\nAnswer: -52*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 394481455 to the power of 1\/2, to the nearest integer?\nAnswer: 19862","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 502074*w**3 - 502072*w**3 + 9*w**2 - 9*w**2.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2931 + -2921. Let m(k) = 12*k - 10. Let j(z) = 1. Give p*j(s) + m(s).\nAnswer: 12*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.05 + 6.05. Let m = c - 5.9999945. What is m rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 339779 and 136.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-14)\/(-4) - ((-2)\/(-4))\/(-1). Suppose -2*w - 78 = -4*v, -v - p*w + 64 = v. Calculate the highest common divisor of v and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 2:00 AM?\nAnswer: 4:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -989*q. Let z(k) = -129*k**2 + 2*k. Determine z(i(l)).\nAnswer: -126177609*l**2 - 1978*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + n = 4 + 2, 2*p + 3*n - 10 = 0. Suppose p*d + 29 = 35. Solve 0*i = i + d for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24891*j - 3*l = 24893*j - 6, -4*j + 12 = l for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16184134957 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.66432943872 and 0.1.\nAnswer: 0.76432943872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w - 1. Let b be p(-1). Let a be (9\/12)\/(b\/4). What is the second derivative of u**3 - 7*u**a - 5*u - u**3 wrt u?\nAnswer: -42*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -1\/3 (c) 1\/2 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -1\/6220000?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4\/25202405 - 6603710574751\/1159310630. Let t = y - -5696. What is the common denominator of t and -101\/22?\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + (-22 - -9) + 24.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**25*y**(-2\/23) assuming y is positive.\nAnswer: y**(573\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-1*sqrt(1573) + 1.\nAnswer: -22*sqrt(13) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4457.\nAnswer: 4457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w + 4*w. Suppose -3*m - 4*c + 1 = w, 2*m + 0*c - c + 3 = 0. Is 166\/3 - 4\/6*m a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31.6 - 33.628. Let v = 0.028 + z. Which is the fourth smallest value? (a) 1\/2 (b) -4 (c) 0.3 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 0.4, -1, 8139?\nAnswer: 8139","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**3\/7 - 10*n**2 - 148*n\/7 = 0. What is n?\nAnswer: -2, 0, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 104 = 2*f + 334, -j - 3*f = -87. Calculate the remainder when j is divided by 25.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of b**9\/56 + b**5\/5 + 11*b**2. Find the third derivative of i(g) wrt g.\nAnswer: 1080*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 5*i - 3. Let a(l) = l. Let n = -11 + 7. Let m be (-3 + (-8)\/(-2))*1. Let f(q) = m*y(q) + n*a(q). Calculate f(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(55) - sqrt(880)*2)\/(sqrt(77)\/(sqrt(7) - sqrt(63))))**2.\nAnswer: 980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27) + 0)*-2*4 + -3*((sqrt(12)\/sqrt(4) - sqrt(3))*2 - (sqrt(300)*-2 + sqrt(3))**2).\nAnswer: -24*sqrt(3) + 3249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zqfvfhkkhhkk. Give prob of picking 1 k and 1 q.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of -1\/20*w**5 - 1\/2*w**3 + 1\/2*w**4 - 3*w + w**2 + 0. Does 5 divide t(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20997*a + 21134*a + 548 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of 0*g - 28*g**2 + 1\/4*g**4 + 5\/6*g**3 + 0. Give v(-4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c**3 + 9. Let u be h(0). Suppose 7*a - 4*a - u = 0. Solve j = -a*j - 20 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 212 + -202. Calculate the lowest common multiple of p and 17.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16753?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -27 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 8:52 AM?\nAnswer: 1:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 243 and 2169.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 13020212 (base 5) to base 8\nAnswer: 366543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 AM and 10:14 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-18 + 8 + 10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 40 = 2*v, 3*v + 74 = 4*o - 4. Calculate the smallest common multiple of 50 and 986\/o - (-6)\/27.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9834300 by -1092700.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-114)\/152*264\/(-18).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 285906 to the power of 1\/2, to the nearest integer?\nAnswer: 535","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 - 7*v**2 - 7*v - 4. Let r be f(-6). Solve 10 = -0*d + r*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - 2*l + 0*l + (l + 3*l - 2*l)*(0 + 0 + 2) + 4*l + 2*l - 5*l)*(-30 + 20 + 13 - 2*l).\nAnswer: -8*l**2 + 12*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 3)*(3*j - j + 2*j) + (-4*j - 24*j - j)*(-2 - 2 + 2)*(0 + 1 + 1) + (11*j + j - 4*j)*(3 + 0 - 2).\nAnswer: 120*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/11 (b) -1\/8 (c) -20 (d) -0.7 (e) -1\/25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18428 + -6436. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 w when two letters picked without replacement from {w: 1, e: 1, u: 1, b: 2, k: 1, f: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 - -1) + 2 - 170624\/2752.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46199 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 2. Let y = -2 + z. Let q = y + 2. Which is the closest to -0.2? (a) q (b) 5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = -4*k + 12, 0 = n - 2*k + 1 + 7 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - 159325.897077?\nAnswer: -159330.897077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 3*i**2. Let z = -2 - -2. Let b(q) be the third derivative of z - 2*q**2 + 0*q**3 + 1\/12*q**4 + 0*q. Give g(b(k)).\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 0 = -4*j, 5*o - 18 = 4*j. Let h = -0.2 + 0.1. Suppose -5*i - 21 = -4*n, -3*i = -0*i + 15. Which is the nearest to h? (a) -0.5 (b) n (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/5 + 118356*g\/5 - 3078608\/5.\nAnswer: 2*(g - 26)*(g + 59204)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-318)\/70 + 8748\/3645?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1 and -0.50340039.\nAnswer: 0.49659961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 4*v + 10 - 6 = 0, 5*g + 2*v - 14 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -144 - -266. Let h = -28 + y. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(-2)\/(-6)*6357\/(-326).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*((5 + -6)\/(-4))\/1.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 58, 1, 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 54285 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 + -18 - (2 + -5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -17780*g - 2. Let t be x(25). Let i = t + 766502. Round i to the nearest ten thousand.\nAnswer: 320000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30873\/1336 + -39\/167. Which is smaller: h or 24?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of h**5\/20 - 5*h**4\/12 + h**3\/6 + 2*h**2 + 3*h. Calculate p(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 16 = -4*m, 3*m - 23 = -2*h - 3*h. Let y = -4 - m. Let c(v) be the first derivative of v**4\/4 + 4*v**3\/3 - 3*v**2 - 3. What is c(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xqjyxxjgyxgjxxjy. What is prob of picking 3 x?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -2. Suppose -2*b = 5*x - 17, -2*b + 1 = -d. List the prime factors of ((-4)\/x)\/((-6)\/99).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwspspssjjpnspjnpsd. Give prob of picking 2 n.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-2\/9))**(-1\/9))**27 assuming c is positive.\nAnswer: c**(-7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, y: 3, f: 4, u: 2, n: 4}. Give prob of sequence yyr.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 5. Suppose -76 = -n - z, b*n + n - 70 = -4*z. Let h be n\/13 - (2 + -3 + 0). Solve -h*p = -3*p + 8 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 1, -2, -0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 695*a*r**3 - 279*r**3 with respect to a.\nAnswer: 695*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6598.09ml to litres.\nAnswer: 6.59809","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -3*b**3 + 3*b**2 - 4*b + 2. Let q be k(2). Let o = q + 32. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8*((-153)\/(-12) + 1). Suppose i - 3*g - 26 = -0*g, -5*i + f = -5*g. Calculate the lowest common multiple of i and 46.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -313*j = -3*b - 309*j - 19, 6*b + 5*j - 14 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3030\/11 - -6071\/22. Find the common denominator of 300\/(-152) + (1 - 0) and o.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1531 - 24*q**3 - 1531.\nAnswer: -24*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*g - 7*g - 44 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n + 1. Let k be 2\/(-3)*(-54)\/4. Let w(r) = -r + 22. Let c be w(19). Let t(z) = -21*z**3 + k*z**c + 11*z**3 + 2 + 2*z. Determine -3*t(i) + 6*u(i).\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + 4009?\nAnswer: 4004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -4*y + 1. Does 19 divide n(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21435 (base 8) to base 15.\nAnswer: -29e4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -193 or -190?\nAnswer: -193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/4, -0.5, -17, -2\/7, -5?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-2\/95))\/x**(1\/7))\/(((x\/(x\/(x\/(x\/(x\/(x**(1\/11)*x*x))))))\/x)\/x)**(-17) assuming x is positive.\nAnswer: x**(-378254\/7315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.52 in 10, -2, -0.01, -1\/10, 0, -2\/13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.09 in 2\/5, 2\/9, 0.062292?\nAnswer: 0.062292","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 413 + -4?\nAnswer: 406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (-10 - (-4 - ((5 - -2) + -6)))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 2 (b) -1\/2 (c) -1359 (d) -0.1 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 438 = 3*c, -3 = -21*y + 20*y. What is the lowest common multiple of c and 156?\nAnswer: 1872","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2485 - -2484. Is t >= 141\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11*(-210)\/6160)\/(14\/(-24)).\nAnswer: -9\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*(66\/6)\/(-11).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/9328 and 145\/78.\nAnswer: 363792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 278828?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 7*i + 1. Let h be p(1). Let s(w) = w**2 - 9*w + 11. Let f be s(h). Find the second derivative of -29*q**3 + q + 25*q**f + 3*q wrt q.\nAnswer: -24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = -q - 3*k + 8*k, 3*q = -5*k for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 k when two letters picked without replacement from kvkkkjkvj?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {u: 3, i: 2, z: 1, p: 4, j: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 46*i - 66 = 47*i, -48*a = -4*i + 688 for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*q**2 - 8*q + 2*q**3 - 40*q**2 + 25*q**2 + 3 - 2*q**4 in the form n*q + b*q**4 + j*q**2 + k*q**3 + h and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 1 + 2*g + (-3*g + g + 4*g)*(4 - 4 - 2) - 283*g + 488*g - 280*g as s*g + a and give s.\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 51 - -306?\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 38283 and -7.7.\nAnswer: -294779.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y + 1. Suppose -6*u - 25 = -u. Let g be k(u). Let b be (3 - 0)\/(6\/g). Which is smaller: b or 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, -2\/9, 0, -45\/8?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 21\/(-45858)*28\/(-49). Let l = a + -756721\/244576. Find the common denominator of 103\/22 and l.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 117*b + 360. Sort b, 1, 4, 125 in ascending order.\nAnswer: 1, b, 4, 125","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1637\/3 at least 546?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1112120021 - 12?\nAnswer: -1112120110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*n**2 - 6*n**2 - 4*n**2 + 5*n**2 - 4*n**3 wrt n.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 169161?\nAnswer: 1\/56387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*z = -2*w - 22*z + 127 + 96 + 113 - 400, 4*z + 80 = -4*w for w.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 + 5*a + 2. Let j = 3 - 5. Let h be u(j). What are the prime factors of h\/(-10)*(-1 - -31)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s**5 - 69*s**4 - 459*s**3 - 1215*s**2 - 1134*s = 0 for s.\nAnswer: -14, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -146*a**5 - 67010*a**4 - 7654112*a**3 + 8067472*a**2 + 15231520*a - 423200 = 0. Calculate a.\nAnswer: -230, -1, 2\/73, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2a8 (base 11) to base 7.\nAnswer: -1023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 24\/59 (b) 317 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 229*g - 8018. Determine p(35).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 245*r**5 - 630*r**4 + 300*r**3 - 40*r**2.\nAnswer: 5*r**2*(r - 2)*(7*r - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 80*b**2. Let u(k) = -12 - 7 - 103*k**2 - 5 - 111*k**2 + 216*k**2. Determine u(s(t)).\nAnswer: 12800*t**4 - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -21*a + 39. Let s(w) = 6*w - 11. Let x(b) = -18*s(b) - 5*v(b). Let g(h) = -2 + 3*h - 5 + 2*h + 2. Calculate 4*g(r) + 7*x(r).\nAnswer: -r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1372*j - 1334*j - 785*j)*(2*j - 2*j - j**3 + (2*j**2 - 6*j**2 + 3*j**2)*(j - 2*j + 2*j)) to the form w*j**4 + q + g*j**3 + y*j + c*j**2 and give w.\nAnswer: 1494","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 + 99 = 8*u. Which is bigger: u or 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.2 + 3.1. Let u = 17.9 + -19. Let j = f + u. Which is the biggest value? (a) j (b) 3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, -6, -11, -18, -27, -38, -51?\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2981 and 813.\nAnswer: 8943","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8698 + 66566 = 1792*s for s.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0383 less than -0.4?\nAnswer: -0.4383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10007 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22222331000 (base 4) to base 8.\nAnswer: -12527500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 8:10 PM?\nAnswer: 11:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1320\/(-11550)*28\/(-40) - (0 - 421\/50)\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4312357741 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -37.3593 - -0.5693. Let q = 2.39 + d. Let r = -69 - q. Round r to 0 dps.\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 82 + -198. Let l = 213 - b. Does 6 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = -3*j + 7*j. Let n(z) = -z**3 + 14*z**2 + z + 9. Is n(j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 25, 0 = 3*g - 4*t + 36 - 136. Let i = -67632 - -67676. Calculate the lowest common multiple of g and i.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 15) to base 10\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -1, 5, -3.\nAnswer: -20, -3, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 16. Let r be 0 + 1 + 3 + 29. Let n = y + r. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -6*(3 + (-20)\/6). Let f(v) = -6 + 0 - a + 9 + 7*v**2 - 2*v. Is 26 a factor of f(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**4\/5 + 188162*k**3\/5 - 1129044*k**2\/5.\nAnswer: 2*k**2*(k - 6)*(k + 94087)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - 591a?\nAnswer: -5916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-32*d + 61*d + 5*d)*(-389*d + 277 - 543 + 266) to c*d + j*d**2 + q and give j.\nAnswer: -13226","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 11:32 PM?\nAnswer: 12:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 3*d. Let m(r) = 280232*r. Determine m(y(q)).\nAnswer: 840696*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*f - 7282 = -8522 for f.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate c*d*m**2 + 757*c*d*m - 7*c*m**2 - 18*c - 2 wrt d.\nAnswer: c*m**2 + 757*c*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1495510 - -318381.86\nAnswer: 1813891.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1211858, -2423715, -3635572?\nAnswer: -4847429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1337*r**2 + 2 + 741*r**2 - 1531*r**2.\nAnswer: -2127*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 136 and 67609?\nAnswer: 540872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -942 + 308 - 2*r**2 + 309 + 313 - 3*r**3 + 0*r**3.\nAnswer: -3*r**3 - 2*r**2 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1390, 11732, 39800, 94456, 184562, 318980?\n\"Answer: 1477*x**3 + x**2 - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i - 2*i + 3*i)*(2 - 2 - i) + (99*i - 106*i - 67*i)*(1 - 1 + 2*i).\nAnswer: -147*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/33 and 23\/10809.\nAnswer: 118899","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -385451420*z - 24805234.\nAnswer: -385451420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d + 30*d**2 - 311791 + 311791.\nAnswer: 30*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, a: 6}. What is prob of sequence am?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 19 * -7557486\nAnswer: -143592234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u - 3. Let k be a(3). Suppose 5*j = 2*j - k. Sort j, 4, -4 in decreasing order.\nAnswer: 4, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 6*r**2 - 2*r + 26. Let y(m) = -2*m**2 + 2*m - 12. Let v(h) = 2*q(h) + 5*y(h). What is v(4)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 - 18*m + 112. Give j(14).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*v**3 - 46*v**3 + 19*v**3.\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-11)\/(99\/30))\/((-6)\/27). Solve 7*s - 3*v = 3*s - p, -s - 5 = -2*v for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2263, 4, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 3080757?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3236 is divided by 54?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 354*j - 357*j + 60 = 6*x, 0 = 5*j - 2*x + 32 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, g: 1}. Give prob of picking 1 v and 2 g.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 82 = -2*b, -2*q + 4*b = -5*q + 137. Suppose 37 - q = -3*d. Suppose 4*c = 8, -25 = -d*w + 4*c + 37. List the prime factors of w.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -120579 or -120580?\nAnswer: -120580","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -2*z - 2. Let b = z - 6. Let w = -12 + 26. Calculate the least common multiple of b and w.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 15 = -3, 5*v = 2*y - 14. Let l be 3 - 1\/((-20)\/v - 6). Find o, given that -7\/3*o + 4\/3*o**l - 13\/3*o**3 + 1\/3 + 5*o**2 = 0.\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 969319.9 litres to millilitres.\nAnswer: 969319900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1554 (base 15) to base 13.\nAnswer: -2113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3141534 (base 7) to base 6\nAnswer: -12051043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 120 (b) 0.36 (c) -0.3 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in three eighths of a minute?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 20098000 rounded to the nearest one million?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2352145 to the nearest integer?\nAnswer: 1534","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 62 + 216. Suppose 0 = 4*b + r - 356, -5*b - 5*r + 182 + i = 0. Calculate the highest common divisor of 8 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 - 5*q**2 - 5*q - 2. Let g be x(-4). Solve 0 = -g*d + d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, -32, -50, -80, -128, -200, -302, -440?\nAnswer: -620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, -28, -5, -701 in descending order.\nAnswer: -5, -28, -38, -701","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2370*q - 3172697 = 2366*q + 3*i, 5*q - 3965923 = -2*i. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136*b - 294*b - 10235 = 15*b for b.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of c**4\/16 + 59*c**3\/6 + 115*c**2\/8 - 117*c\/2 + 1503. Factor v(w).\nAnswer: (w - 1)*(w + 2)*(w + 117)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(15)\/(sqrt(45)\/sqrt(9)) - ((sqrt(18)\/sqrt(6) - sqrt(3)) + 4)).\nAnswer: -4*sqrt(3) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 257693 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11959 = 5*j - 3*f - 1667, 20*j + 3*f = 54474. What is the greatest common factor of j and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -34*l**2. Let s(p) be the first derivative of -2*p**3\/3 + 2. What is t(s(q))?\nAnswer: -136*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000024450301 to 7 dps.\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 87*a**3 + 6*a**2 - 2*a*c**2 - 3239*c**2 wrt a?\nAnswer: 261*a**2 + 12*a - 2*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*7\/(-56)*4*-2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -32 - (-1)\/(1 - 2). Let o = 1891 - 1837. Let g = o + f. What is the greatest common divisor of g and 105?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 0.041, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 14) in base 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 18\/(-63) - (214\/(-14) - 0). Suppose 6*i = 3*i + b. Suppose 4*l - l + o = 4, 2*l = i*o + 14. Calculate the lowest common multiple of l and 19.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 342018888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -237918 divided by -2\nAnswer: 118959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3 - 14 + 64 - 30*a wrt a?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/6 + (-23)\/10. Let y = a + 13\/10. Suppose w = -w + 6. What is the nearest to -1 in y, 2\/9, w?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w**4 + 640710*w**3 - 20518415580*w**2 - 451715299640*w = 0 for w.\nAnswer: -22, 0, 64082","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5234 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4248 or 4061?\nAnswer: 4061","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72965 is divided by 598.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*n + 24 = 22*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y + 7 = 21. Let d(q) = -q**3 - 5*q - 3*q**2 + 11*q + y - 3*q**2 + q. Give d(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -46.15 - -46.45. Which is the third smallest value? (a) -0.09 (b) z (c) -4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 l when three letters picked without replacement from {r: 1, l: 2, o: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -0.1807, 7\/4, -5?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + 3405566?\nAnswer: 3405602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14*(3*12\/(-18))\/(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 + 7*h - 5. Let o be b(6). Let l be 1183 - (4\/1 - o). Suppose -3*i = -r - l, 0*r = 2*i + r - 795. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/11*(-396)\/693?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) -11 (c) 6.5 (d) 2\/3 (e) -1 (f) -0.6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y**3 + y + 1. Let z be u(-1). Find the second derivative of -2*p - 2*p**2 + p - 3*p**z wrt p.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1873392?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9200474, 18400948, 27601422, 36801896, 46002370?\nAnswer: 55202844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 AM and 4:16 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -351*t**2 - 91*t**2 - 478*t**2. Let i be m(-5). Round i to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1431 (base 9) in base 5?\nAnswer: 13311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/12*(15 + 0). Let i = 11 + w. Let o = 0.12 - 0.12. Which is the second biggest value? (a) 0.1 (b) o (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.222 times 3099?\nAnswer: 687.978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 - a - 32. Calculate p(0).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/2)\/((-81)\/6).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 0 - 4. Let d(n) = 7*n - n + 7 + 3*n - o. Is d(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 3*f + 4*j - 36, -2*f = 3*j - 24. Suppose 5*a + 3*n = 162, -3 = 3*n - 0*n. Calculate the remainder when a is divided by f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of o**5\/40 - o**4\/8 - o**2. Find k, given that m(k) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -2\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -203757150 + 5?\nAnswer: -203757143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together 182 and 31930.\nAnswer: 32112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 + 15*i**2 + 57*i - 47. Give k(18).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hpkkpxk. What is prob of sequence phpk?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19907*s**3 + 8992*s**3 - 10500*s**3.\nAnswer: -21415*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 24\/35 in 10235, -1\/6, 4, -0.3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 65*s**2 - 525*s + 40.\nAnswer: 5*(s - 8)*(13*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -6588 divided by -3?\nAnswer: 2196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (((-9)\/(-3))\/(-1))\/(1 + -2). Find j, given that -1 - 15*j**2 + 11*j**2 - 8*j - p = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sbsbassbsaaaaasss. Give prob of sequence abas.\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + -1. Let h(c) = -c**3 + 8*c**2 + 3*c - 20. Let k be h(8). Solve f = 5*g - 1 - k for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28 + 143*f + 148*f - 285*f - 453*f**2 wrt f.\nAnswer: -906","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + 3 + (0 - -1). Let y be (-183)\/99 - 1\/(0 + p). Which is smaller: y or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 418649?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 55784797, 111569594, 167354391?\nAnswer: 223139188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-1 - 0) - (2 - 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -14908173 - 7.4089?\nAnswer: -14908180.4089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/20 of a milligram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 + 4*a + 2. Suppose -2*o + o + 4 = 2*b, -2*o + 4 = 3*b. Let l be p(b). What is the units digit of ((-715)\/33)\/(l\/(-6))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 3\/2 (b) 0.4 (c) -96\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4 - 0)\/2 + 2. What is the third derivative of 3 - 2 + 6*s**2 - 1 - x*s**5 wrt s?\nAnswer: -240*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 0.038, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 4*n - 42 = 2*b, -12 = -4*n. Let w be ((-5)\/b)\/((-2)\/40). Let t = w + 16. What is the lowest common multiple of t and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/6 and -53\/2152?\nAnswer: 6456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1500*r + 17668 = -869*r for r.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 370864, 741845, 1112838, 1483849, 1854884, 2225949, 2597050?\n\"Answer: a**3 + 370974*a - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 638*l**2 - 321*l**2 - 4*l - 318*l**2.\nAnswer: -l**2 - 4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2298666.604 rounded to the nearest ten thousand?\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15 in 0, 161\/6, 42, -4.9, 4, 3\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.02? (a) 0.06 (b) 24 (c) 6\/23 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -1323*l + 11\/3*l**5 + 73*l**4 + 343\/3 + 1366\/3*l**3 + 2030\/3*l**2 = 0.\nAnswer: -7, 1\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.93 minus 3.98?\nAnswer: -3.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = q + 10, -111890*d - 18 = -111887*d + 3*q for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/407904 and -101\/8736.\nAnswer: 5302752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -96 divided by 1\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 - 7*d + 3. Let o be (-4 - 3)*12\/(-14). Let q be s(o). Do -4 and q have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -67459.098 to the nearest one thousand.\nAnswer: -67000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116 is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/8*0)\/2. Suppose 32 = 31*w - 30. Solve f = w*p - 5*g - 9 - 6, 0 = -5*p + 4*g + 12 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -12678*v**2 + 15*v - 15. Let x(d) = 1811*d**2 - 2*d + 2. Calculate -15*x(t) - 2*z(t).\nAnswer: -1809*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -58, 0.5?\nAnswer: -58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**1*(l**(-5)\/l)\/l)\/(l*l**(1\/4)*l**0) assuming l is positive.\nAnswer: l**(-33\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9720626 by -335194.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -7106*m - 738. Let t(q) = 2*q. Calculate t(s(z)).\nAnswer: -14212*z - 1476","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 37*v + 211. Calculate p(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 21ef + -307e2?\nAnswer: -2e5f3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 759.\nAnswer: 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-seven halves of a litre?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1561876?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -251*a*p - 13*a + 2*p + 24606 wrt a.\nAnswer: -251*p - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(-6))\/(182\/(-39))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1950, 1952, 1954, 1956, 1958?\nAnswer: 1960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(-7)*308\/(-33).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 373818.\nAnswer: 2, 3, 62303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, r: 14}. Give prob of sequence rk.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4126 to the power of 1\/2, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - 0*f + 5*f - 151, 5*f + 69 = -o. Sort -0.03, -0.5, -2, o, 3\/4 in decreasing order.\nAnswer: 3\/4, -0.03, -0.5, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4416 - 4305. Calculate the lowest common multiple of 141 and s.\nAnswer: 5217","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 38 and 138680?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -619 in -0.2, 5, 1.1251?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1033223 (base 4) to base 9.\nAnswer: 6885","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -6121 - 24*i - 4*i**2 + 6159 + 5*i**2 + 0*i - 2*i**3 in the form b*i**2 + p + w*i + d*i**3 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/2489094 and 73\/6.\nAnswer: 2489094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -44695 and -0.2.\nAnswer: 8939","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2828631 and 21?\nAnswer: 19800417","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -8*r**2 - 4*r + 39. Let f(n) = 7*n**2 + 3*n - 40. Give -6*f(k) - 5*z(k).\nAnswer: -2*k**2 + 2*k + 45","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 1:05 PM?\nAnswer: 5:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 4*k = -14, 5*k = -5*r + 462 - 512 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 14\/2451 and -36\/817.\nAnswer: 2451","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 73924757 to the nearest integer?\nAnswer: 8598","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 143313790?\nAnswer: 2, 5, 14331379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -4*i - 0*i + 45, -2*i + k = -15. Suppose -n + i*n = 116. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/3*(-78)\/(-65). Let d(g) = 15*g. Let o(i) = 4*i. Let b(l) = -6*d(l) + 22*o(l). What are the prime factors of b(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -20*d**3 - 7*d**2 + 10*d. Let c(u) = -10*u**3 - 3*u**2 + 6*u. Determine 10*c(i) - 6*l(i).\nAnswer: 20*i**3 + 12*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43919748 divided by 36.\nAnswer: 1219993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -182.9999869 + 183. Round u to six dps.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i**2 - 4*i - 10. Let j be b(6). Suppose -4*q + 66 - j = 0. What is the least common multiple of q and 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y**2. Let b(d) = 5*d**2 - 10*d. What is b(x(i))?\nAnswer: 20*i**4 - 20*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07828 rounded to three dps?\nAnswer: -0.078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 10595, 10800, 11005, 11210, 11415, 11620?\n\"Answer: 205*u + 10390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 259 and 24864.\nAnswer: 24864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1192017?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 5*h**3 - 2*h**2 + 4*h - 3. Let k be z(2). Let n = k - 16. Is n a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g + 4. Let d(o) = -1. Let k(p) = 4*d(p) + h(p). Let u = 1 - 1. Let s(j) = u*j + 2*j - 4*j. Calculate s(k(r)).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 215 = 15. What is the common denominator of -10 and (1\/(-4))\/(8\/v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b**2. Let s(n) be the second derivative of 1\/6*n**4 + 0 + 0*n**2 + 0*n**3 + n. Determine v(s(l)).\nAnswer: -8*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.11184 to 4 dps.\nAnswer: 0.1118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 3*h = -6, 2*u + u = -2*h - 4. Which is the nearest to 0.2? (a) u (b) 32 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/12082996 and 35\/18.\nAnswer: 108746964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1986*r**2*z + 44374*r**2 - 3*z wrt z?\nAnswer: -1986*r**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25\/60*(-90)\/50.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*q**4 + 16516*q**3 - 6241*q**2 + 6 wrt q?\nAnswer: 168*q + 99096","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aubc when four letters picked without replacement from {b: 1, u: 4, a: 1, c: 1, d: 4}?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*n**2 - 13*n**4 - 6*n**2 + n**4 - n**2 wrt n.\nAnswer: -288*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.5 < -242?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2217354077.\nAnswer: 23, 131, 373, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d + 0*d - 2*d)*(2332 - 1860 - 10968).\nAnswer: -10496*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, j: 1, g: 1, m: 2}. Give prob of sequence jj.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of -u**4\/12 - 7*u**3\/6 - 2*u**2 + 3*u. Let j be o(-6). Suppose 0 = -j*a, 5*g - 2*a - 10 = -4*a. Solve p + p = g for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 111, 3, -5 in decreasing order.\nAnswer: 111, 5, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 43\/(-55) - 4\/(-22). What is the third smallest value in 8, -2\/9, u?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -30*k**3 + k + 1. Let p be z(-1). Suppose 3*g + 5*u = p + 25, -2*u = -g. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2668, 5329, 7990, 10651, 13312?\nAnswer: 15973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + 213 = 3*s - 11*k, -67 = -s + 3*k. Is ((-3)\/((-12)\/8530))\/(s\/146) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 108430*y**2 + 1274*y - 12.\nAnswer: 216860","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2587*s**2 + 2*s + 435. Let u(p) = -p**2. Determine i(u(m)).\nAnswer: -2587*m**4 - 2*m**2 + 435","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of -x**6\/120 - 19*x**5\/80 - 45*x**4\/16 - 425*x**3\/24 - 125*x**2\/2 - 173*x. Factor a(m).\nAnswer: -(m + 4)*(m + 5)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 608\/(-40) + 1\/5. Let f(r) = r**3 + 16*r**2 + 4*r + 1. Let w be f(h). Let q = -109 + w. Is 21 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k + 1 + 0*k - 3*k**2 + 5. Let y be q(-5). Round y to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4198*m + 12 = -4194*m - 4 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 27527 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/110 and 27\/209?\nAnswer: 2090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -103, -639, -1537, -2803, -4443?\n\"Answer: -y**3 - 175*y**2 - 4*y + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2902 - -2887.51. What is f rounded to zero dps?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5597201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 4. Let m(o) = 1 + b - 4*o**2 + 5*o**2 - 1. Suppose -3*j + 2 = -4. Determine m(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 116 + 1689512\/(-14520) - (5 + -9)\/44?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(-8)*28\/40\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -27392667\/11 smaller than -2490243?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*d, -5*l + 5*d - 51 = -9*l. Suppose -79 - 128 = l*c. Which is smaller: c or 5\/3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 63 and 217?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 92597100 to the nearest one million.\nAnswer: 93000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 430?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*h, 4*h - 5 = r + 8*h for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.9343 + 4.0657. Which is the closest to -3? (a) 5.3 (b) 2 (c) -0.3 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 21.60762 and 0.2.\nAnswer: 4.321524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f + 21. Is d(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + 12\/(-2))*4\/(-2). Suppose -7*z - v + 175 = 0. Calculate the remainder when z is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 m when three letters picked without replacement from {y: 7, l: 1, m: 2}?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(3 + (-24)\/9). Suppose -2*z + s + 0 = -4, -g*s = z + 12. Solve -q + 3 = -z for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 71 = 59*m, 2*k - 9 = -4482*m + 4481*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*u - 3*m, 126*m = u + 122*m - 30. Solve 0 = -65*l + u - 10 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32044448?\nAnswer: 2, 1001389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18233.2799 - -18302.3. Let x = d - 0.1201. Let k = x + -69. Which is the second biggest value? (a) 1 (b) 0 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*w - w**2 - 26*w + 41*w - 1 - 5*w**3 to the form a + i*w**3 + o*w + b*w**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p**2. Let h(g) = -422706*g. Determine b(h(d)).\nAnswer: 357360724872*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*f = 8*l + 200 - 120, -3*f - 3*l + 30 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -5*j - 6. What is the highest common divisor of 32 and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1.43 (b) -5 (c) -2 (d) 0.1 (e) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/((-42)\/(-91)) + -5. Let b = 392 - 16071\/41. Sort k, b, -2, -4 in descending order.\nAnswer: b, k, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - 37*w**2 + w + 39. Let g be p(-37). Let l(y) = -11 + 0 + 15*y - 7*y + 1 + y**g. Let a(h) = -2*h - 4. Let r be a(2). What is l(r)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.13 in 1\/3, -36, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 920405?\nAnswer: 5, 184081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1102.28 rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 172.2 + -142.\nAnswer: 30.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 144.6 + -166. Let n = s + 16.4. Which is the nearest to 5? (a) n (b) 0.3 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1568)\/2240 - 9\/(-12)*(-2)\/(-5)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of d**8\/6720 + d**7\/630 + d**5\/40 - 7*d**4\/12 + 10*d. Let r(m) be the third derivative of i(m). Calculate r(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 181899?\nAnswer: 3, 6737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 4864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.97762 rounded to two decimal places?\nAnswer: -14.98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 at most -77\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 79140 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**2\/7 - 102093*k\/7 - 2244594\/7.\nAnswer: -3*(k + 22)*(k + 34009)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.303? (a) -0.1 (b) 0.5 (c) 1 (d) 4 (e) -1\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 q, and 1 d when three letters picked without replacement from {q: 1, b: 1, h: 2, u: 1, t: 1, d: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2 = 1. Let o be (-9)\/v + (-5)\/(-1). Suppose -2*f + 5*u - 13 = -5*f, -o*f + 9 = 3*u. Solve -5*x - 4*j + f + 20 = 0, j - 4 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*p - 2*p**2 + 5*p - 4*p - 18 + 18 + p**2 + (-3*p + 5*p - p)*(0*p + 0*p + 2*p).\nAnswer: p**2 + 6*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.82354 rounded to two decimal places?\nAnswer: 3.82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - -11000111111001100011?\nAnswer: 11000111111001100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-18)\/12*(-84)\/7. Let j(m) be the first derivative of m**3\/3 + m**2 - 7*m + 1. Let b be j(-6). Which is greater: r or b?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3584 and 2212.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 - 8*j**2 + 7*j - 12. Let c = -3 + -6. Let p be z(c). Let o(v) = v**2 - 3*v - 2. Give o(p).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 67 - 66. Let y be (-2 - j) + (22 - 19). Solve 3*d + y*d + 12 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 11:29 PM?\nAnswer: 1:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + m - 5 = 3*m, 3*n = 4*m - 11. Which is the smallest value? (a) -1\/2 (b) n (c) -4 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10942 is divided by 10930.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(45)\/(1*sqrt(147) + sqrt(3)))\/(4*sqrt(500)*3).\nAnswer: sqrt(3)\/960 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -72 + 196. Suppose 2*c - 6*c = 0. Suppose c*x - 4*x + m = -2*k, x - 25 = -k. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -37730530 to the nearest 1000000.\nAnswer: -38000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2941601)\/(-57) + 62\/(-1767) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j. Let z(d) = -1564391*d**2. What is z(r(q))?\nAnswer: -6257564*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1141?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from adjmjqmmdndqdqq. Give prob of sequence dnad.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 - 10.9. Let y = 25.9 + o. Let n = y + -23.36. What is n rounded to one decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1224 + 599. Let f = -623 - n. Factor 8\/17*s**3 + 2\/17*s**f + 0*s + 8\/17*s**4 + 0.\nAnswer: 2*s**2*(2*s + 1)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, -25, -1\/4 in decreasing order.\nAnswer: 1, -1\/4, -4, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-30)\/(-25))\/((-6)\/(-160)). Let p = 27 - v. Let q(o) = o + 3. What is q(p)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 291.3 - 291. Let x = 0.1 + -1.1. Put 3\/2, x, t, 1 in descending order.\nAnswer: 3\/2, 1, t, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 1071 = -3*z, x + 1145 + 626 = 5*z. What is the remainder when z is divided by 350?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u = u + 28. Let z be (-1)\/2*u*5\/(-2). Let p(w) = w**3 - 4*w**2 - 7*w + 7. Give p(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -0.0839?\nAnswer: -0.0839","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -11810424 divided by 203628\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vbbbbigbigggv. Give prob of picking 1 g and 1 v.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2 - 324.\nAnswer: (w - 18)*(w + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r - r + 405*r**2 - 19*r**2.\nAnswer: 386*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**2 + 0*h**2 - 2*h**3)*(5*h**2 + 15 - 15 + (-h - 2*h**2 + h)*(2 - 1 - 2)).\nAnswer: -14*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 1\nAnswer: 0.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2216 times -0.5?\nAnswer: 1108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 37*r - 36*r + 102 = 0, 2*r = -2*h + 36. Suppose -3*f = 6, i + 0*f - f - 12 = 0. What is the greatest common divisor of i and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 421 is divided by 4\/18 - 425949\/(-1107).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65.25873ml in litres?\nAnswer: 0.06525873","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -40*w - 256. Let j be z(-11). What is the highest common factor of 40 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -154643 minus 32.3262403?\nAnswer: -154675.3262403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 5*o**3 + 6*o**2 - 2*o + 6. Let z(r) = 12*r**3 + 12*r**2 - 6*r + 13. Let k(w) = 5*g(w) - 2*z(w). Calculate k(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1113 divided by -1553?\nAnswer: -1113\/1553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 9, -324, 16, 0 in increasing order.\nAnswer: -324, -3, 0, 9, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3225)\/(-2150))\/(6\/28)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2306*o + 539*o**2 + 2307*o - 109*o**2)*(-o**2 + 0*o + 0*o).\nAnswer: -430*o**4 - o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 23261 to the power of 1\/2, to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/66 and 85\/2376.\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -35*q**5 - 4*q**4 + 60*q**2?\nAnswer: -2100*q**2 - 96*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -0.08717.\nAnswer: -0.008717","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1446512*l + 1446017*l = 228 + 20562 for l.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1582 is divided by 1056?\nAnswer: 526","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 0*c + 3*c)*(-2 + 1 + 2*c + 3).\nAnswer: 2*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2581030671 a multiple of 475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -6*i + 1. Let f be l(-3). Suppose -29*q = -f*q - 4170. List the prime factors of q.\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16.4 + 5.45. Round g to the nearest integer.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -i**4 - 39026*i**2 + 118124*i wrt i?\nAnswer: -12*i**2 - 78052","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, f: 1, i: 1, x: 4, h: 8, l: 4}. What is prob of picking 2 h and 2 j?\nAnswer: 28\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of -11*m**2 + 0*m - 7\/6*m**3 + 1\/4*m**4 + 0 + 0*m**5 - 1\/12*m**6. Is z(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2016*o**3 - 14857*o**2?\nAnswer: -12096","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 827064 (base 9) to base 3.\nAnswer: 220221002011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 29186237 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -7.955, 4, 2\/7, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/4 or 117\/649?\nAnswer: 117\/649","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(864)*-3)\/(sqrt(8)*-5*-3).\nAnswer: -6*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21312 - 11335. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/1716 and 33\/52.\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 47 + 118 + (-146529)\/891?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 3*w**2 - 30*w + 3. Let k be r(10). Suppose -k*n - 4 = -5*o - 5, -4*n = 12. Sort 3, 2, 0, o in decreasing order.\nAnswer: 3, 2, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 258780679\/24645 + -31501\/3. Which is smaller: l or 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) 49 (b) 1830 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - -13. Suppose 2 = n*l - 3*l. Solve i = -2*i + 12, c - 9 = -l*i for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*2*2*(((sqrt(2736) + 0)*6 - sqrt(2736)) + sqrt(2736)))**2 + 0.\nAnswer: 14183424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 7*j**2 + 1. Suppose 2*d + 22 - 70 = 0. Suppose b = 4*b - d. Suppose -m = -5*q + 2 - 0, 5*q + m = b. Determine h(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 3*s + 5*z = -122, -2*z = 3*s - 103. Let a = -39 + s. What is the units digit of -3*74\/a - 0?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -4*t + m + 7, 3*t - 1 = -5*m. Calculate the remainder when 9 is divided by t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-26)\/(-10))\/((-2)\/140*14))\/(142\/(-1562)).\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oouurrruprrf. What is prob of picking 1 f, 2 r, and 1 o?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 54*g - 181*g + 942 - 53 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.4 - 3. Let g = b - 0.3. Let j = 101 - 98. Put j, g, 0.2 in increasing order.\nAnswer: g, 0.2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x**2 + 0*x**2 - 3*x**2)*(3*x**2 + x**2 - x**2) + 4*x**4 + 3*x**2 + 8*x**2 - 2*x**3 - 9*x**2.\nAnswer: 7*x**4 - 2*x**3 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 5 = 7 - 2, 4*n = -z for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 6, f: 1, q: 3, l: 3, i: 2}. Give prob of picking 1 f and 1 l.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.07 and -0.03893821.\nAnswer: 0.0027256747","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2186 times 101.5\nAnswer: -221879","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 627*j - 3763*j - 232*j + 719*j - 2735*j in the form z + w*j and give w.\nAnswer: -5384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q - c - 32 - 3 = 0, -8*q + 3*c = -675 + 648 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -43 - 25. Calculate the highest common factor of 17 and q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.13 in -3, 4\/31, -1\/3, 3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 26038045 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -24933, -24441, -23959, -23493, -23049, -22633, -22251, -21909?\n\"Answer: -g**3 + g**2 + 496*g - 25429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + 1013?\nAnswer: 1004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 191 is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((408\/(-8806))\/((-10)\/35))\/(-1)?\nAnswer: -6\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1268, 2522, 3764, 4988, 6188?\n\"Answer: -v**3 + 1261*v + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 978786?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 230*q = -38*q - 4169620 + 19979208. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1187 divided by -101?\nAnswer: -1187\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -5*n - 39, -3*n - 13 = o + 2. Let x be (5 + -1)*(87\/(-12) + 6). Which is smaller: x or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 11:15 PM?\nAnswer: 9:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 3*t = 8. Let q be (-6 + 8)*t\/2. Let p(h) = h**2 + 10*h + 20. What is the units digit of p(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 359039?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24486028 is divided by 49?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 - 4*p**2 + 6*p - 6. Let b be f(3). Let t = -15 - -27. Calculate the greatest common divisor of t and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a kilogram in grams?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -3 + 7 + 4 - 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 132240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = w + 5*o + 19, w + 4*o + 13 = 0. List the prime factors of w - -349 - 24\/(-6).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -3*c + 5. Let q be m(5). Let t(h) = -2*h**3 + h + 448044 - 6*h**2 - 448054 - 5*h**2 + h**2 + h**3. What is t(q)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 2*h + 16 = 0. Suppose 0*m - 2*m - 3*t = -90, t + 113 = 3*m. Suppose m - 29 = -5*y. Sort y, 4, 0, h in increasing order.\nAnswer: h, y, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9875?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1533 (b) -0.4 (c) -3\/2 (d) -0.2 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5\/42 of a week?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 347551536 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2083416385.\nAnswer: 5, 17, 101, 242681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-1\/10)*u**(-3\/7))\/(u**0)**(-5\/8)*(u\/((u**7\/u)\/u*u))\/u*u**(3\/5)*(u*u\/((u\/(u\/u**1)*u)\/u))**45 assuming u is positive.\nAnswer: u**(2819\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92 is divided by 26?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -984 - 2*t + 982 - 5*t + 3*t. Let p be o(-1). What is the third derivative of 9*s**4 - s**4 + 3*s**2 + p*s**4 + 0*s**4 wrt s?\nAnswer: 240*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 31372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/90970 and 17\/2246959.\nAnswer: 22469590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**3*c**(3\/7)*c*c*(c**(2\/3))**20*(((((c*c**14)\/c*c)\/c)\/c*c)\/c**(-1\/5))**(-1\/10) assuming c is positive.\nAnswer: c**(18209\/1050)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/5, 3.18, 6?\nAnswer: 3.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 42559714501?\nAnswer: -42559714501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - -111220121212?\nAnswer: 111220121202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 13 = 4*w, -w + 6 = 1. Let m = -3 - s. Suppose 5*v - 3*y - 225 = 0, v = -2*v - m*y + 135. Does 15 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-9)\/5)\/((-36)\/60). Suppose r - 7 = -n*t, 4*r - t + 0 = 15. Solve -d - 2*u = -2, -2*d + u + r = -0*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 15*u - 8 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 504017005 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 4*x - 36 = 0, -3593 + 1845 + 1798 = 5*a - 7*x for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-8) + (-2)\/(-4). Let x be 12*((-3)\/(-6))\/1. Let y(k) = 4 - x*k - 6*k + 5*k. Let r(n) = -n + 1. Determine l*y(j) - 5*r(j).\nAnswer: -2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2939, 3063, 3187?\nAnswer: 3311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1760 and 2547680.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17276\/(-1965145))\/((-6)\/35).\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 265380, 530755, 796128, 1061499, 1326868?\n\"Answer: -z**2 + 265378*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 5*d**3 + 225*d**2 + 840*d + 820 = 0.\nAnswer: -41, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.9 (b) -8.3 (c) -3 (d) -0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 48.2 + 34.9. Let w = -82 + f. What is the smallest value in w, -2\/13, -15\/8?\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 3*v + 4*f + 13 = 0, 3*v + 25 = -4*f. Let z be ((-1)\/3 + -1)*v. Suppose -11*o + 33*o - 110 = 0. Solve o*r - 1 = -5*i + z, -2 = -2*r - i for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 230 = -32*d - 0*d - 218 for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40, -7, 0, 4034, 1, 3, 17.\nAnswer: -40, -7, 0, 1, 3, 17, 4034","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 12886*i**2 + 217*i + 17. Is k(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + d**2 + 2*d)*(-1 - 3 + 2) + 0*d**2 - 2*d**2 + 0*d**2 - 91410*d**2 + 91397*d**2 + 22*d - 115*d.\nAnswer: -17*d**2 - 93*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d - 135 = -3*d. Solve -2*j - 5*n = -0*n + d, -2*j + n = 3 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 4*g + 54 = 0, 5*z - 3*z + 3*g - 86 = 0. Let i = z - 34. Suppose -5*y = -y - 72. Calculate the smallest common multiple of y and i.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, c: 1, w: 1, a: 1, f: 1, u: 1}. Give prob of picking 2 r and 1 f.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1739 = 122*o + 31 for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 152 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n - 6. Let s be b(7). Let z(r) be the first derivative of -r**4\/4 - r**3\/3 + r**2\/2 + 2. Let h be z(s). What is the third smallest value in h, 4, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - 6, 0 = 4*c - g + 5*g + 32. Let z be (c + 80\/15)\/((-4)\/78). Suppose 15*k = z*k + 2. Calculate the greatest common divisor of 19 and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 351 is divided by 65.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.5 and -0.688?\nAnswer: -1.032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59145*w + 59033*w = 2576 for w.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -418*1.379\nAnswer: -576.422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 take away -199525736434?\nAnswer: 199525736433.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*b + 16*b + 2*b as p*b + x and give p.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*i = 50*i - 5*k + 6, 5*k - 33 = -7*i - 10 + 15 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - i = 5, 0*j = -3*j - 3*i + 39. What is the least common multiple of 83 and j?\nAnswer: 747","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 167*s - 8196. Determine z(49).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = 5*z - 4*h - 16, 4 = 2*z - 2*h for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.8 - -7. Is -2.3 bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 5. Let s = 2 - 2.1. Let d = 0.1 - s. Which is the biggest value? (a) x (b) d (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 3, -641, 8 in ascending order.\nAnswer: -641, -4, -2, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/5 of a second?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26 + -24. What is the remainder when 7 is divided by h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 14886?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -26 - -19 - (-8 + 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4*2\/(24\/(-9)). What are the prime factors of 7 + 0\/4 + a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(15\/(-35)) + -1. Let t(d) = 202*d + 50. Let f(b) = -67*b - 17. Let y(u) = 11*f(u) + 4*t(u). Is y(l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24\/(-2)*231\/308\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.5, 1, -0.133, 2 in increasing order.\nAnswer: -4, -0.5, -0.133, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 129626, 259169, 388712, 518255, 647798?\n\"Answer: 129543*z + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*k - 17246 = 10601 + 107351. List the prime factors of k.\nAnswer: 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 6, 352?\nAnswer: 352","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of 13*s**3\/2 - s**2\/2 - 179*s. Let t(q) = -q. What is t(p(h))?\nAnswer: -39*h + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, 0, 11, 4 in decreasing order.\nAnswer: 26, 11, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 2 f, and 1 p when four letters picked without replacement from {m: 4, p: 4, k: 6, f: 4}.\nAnswer: 4\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-f**2 - f + 3*f**2 + 0*f)*(-4*f + 9*f + 8*f) to the form u*f**2 + j + z*f**3 + o*f and give z.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 34.65, -5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, v: 4}. Give prob of picking 1 r and 3 v.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/((-1176)\/(-189) - 48\/8).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 367866098?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6926 - b?\nAnswer: 691a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 6 + 6 - 12 - 2*t. Give u(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4 + 1)*(-10)\/6. Suppose 0 = -0*j - j + 2. What is the greatest common divisor of g and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.472 rounded to one decimal place?\nAnswer: -8.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8342 and 20?\nAnswer: 83420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r + 1. Let f(l) = 4*l - 5. Let u(z) = f(z) + 3*s(z). Let d = 0 - 1. Let m(i) = -2*i**2 - 3*i + i**2 + 6*i - 1 - 2*i. Give d*u(x) + 2*m(x).\nAnswer: -2*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 4 = 0, -d - 2*m = d + 276. Let k = 147 + d. Solve -2*l + 4*l = r, -k*r = -10 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -14877, -15002, -15127?\n\"Answer: -125*c - 14752","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5780\/131 or -43?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5582724510?\nAnswer: 2, 3, 5, 11, 211, 80177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -x**6 + 73211*x**4 - 168*x**3 + 569125973*x**2 wrt x?\nAnswer: -120*x**3 + 1757064*x - 1008","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-19 + 420\/20)*(-1)\/44\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*v - 5*v - 132. Let u(d) = v + 4*d + 36 - 126. Let n be u(7). Solve 5*y - 2*p = -21, -9 = n*y + p - 0*p for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 2 c, and 1 z when four letters picked without replacement from gggngcdnnhzgdcd.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 3*r - 3 = 0, -v - 2*r + 14 = -0. Suppose -v*j = -9*j. Solve -4 = -j*l + 4*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of 0 + 4\/3*j**4 - 20*j + 33\/2*j**2 - 1\/2*j**3. What is the first derivative of u(o) wrt o?\nAnswer: 32*o - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*z**2 - 55*z**3 + 11*z**2 - 2 + 4.\nAnswer: -55*z**3 - 5*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 310 + -110212030212?\nAnswer: -110212023302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24.825 - -0.825. Let y = -24.2 - o. Let u = -0.4 + 0.1. Put -0.04, y, -1, u in ascending order.\nAnswer: -1, u, y, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*-7*10\/(-56).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100016\/109 greater than 917?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -855 = -3*n + l + 46, 0 = 2*n - 5*l - 605. Suppose 7*q + n - 1917 = 0. Let b be q\/28 + (-2)\/8. Solve 0 = -s + 4*z + b, 3*s - z = -3*z - 4 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/4539 + -10546\/204255. Let z = 4209337\/60 - 70154. What is the common denominator of z and p?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 + 9*r - 2. Determine v(10).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.11 * 2.55.\nAnswer: 0.2805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - -2 - (2 + -4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -5753, -11843, -17927, -24005, -30077?\n\"Answer: 3*u**2 - 6099*u + 343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 15 = -5*z, 36*z - 18 = -a + 42*z for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 9*n**2 + n + 1. Let w be x(1). Solve -5*t = d + 14, -2*t + w = -5*d - 5 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20444, -40919, -61364, -81779?\nAnswer: -102164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyyg when four letters picked without replacement from {g: 7, y: 3}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 640.2274 grams to kilograms.\nAnswer: 0.6402274","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1923172 to the nearest integer?\nAnswer: 1387","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/(0 - -1) - 3. Let x(p) = -71*p**j + 13*p + 5 + 35*p**2 + 37*p**2. Let l be x(-13). Solve l*s = 4*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -240*l - 3\/2*l**3 - 39*l**2 - 432.\nAnswer: -3*(l + 4)**2*(l + 18)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*v - 81 + 249. What is the greatest common factor of 308 and v?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 2*o + 860*o**2 - 4503*o**2 - 6*o.\nAnswer: -3643*o**2 - 4*o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -17, 371, -3\/2, 3, -12 in ascending order.\nAnswer: -17, -12, -3\/2, 0.4, 3, 371","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70979 = 4*x + 3*g, -4*g + 7262 = 2*x - 28230. List the prime factors of x.\nAnswer: 2, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**1)**29\/(p**(2\/23)\/(p*(p\/p**(-1\/8)*p)\/p*p)) assuming p is positive.\nAnswer: p**(5895\/184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 38739 by -628.\nAnswer: -38739\/628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 699 is divided by 99.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -892104 or -892101?\nAnswer: -892101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 336842?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 4346?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1413 - -6?\nAnswer: 1421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of -1229*y**3\/3 - 959*y**2 + 1250*y + 2. What is the first derivative of c(i) wrt i?\nAnswer: -2458","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24099929 to the nearest integer?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -1, 165, 3, 2\/3, 0.1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 681, 6, -0.08222, -5?\nAnswer: -0.08222","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13347*p**2 + 270*p - 6704357 wrt p?\nAnswer: -26694*p + 270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-14)\/(-49))\/(2*5\/(-70)). What is the second smallest value in 2, 0.51, p, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6 + 40 + -16 + -28. Find q such that q**3 - 1\/3*q**5 + 1\/3*q**4 - 5\/3*q**p + 2\/3*q + 0 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-1))\/((-12)\/8)*82\/(-1230)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3315401 - -2520?\nAnswer: 3322321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(19) + (-3 + (sqrt(19) - (sqrt(19) - sqrt(684))))**2)*-4.\nAnswer: -13860 + 700*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, t: 2, w: 3, n: 3, r: 1, s: 1}. What is prob of sequence nwt?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2000 and 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11135141 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4336 and 68296.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/1036 and 139\/24?\nAnswer: 6216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52 is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 565 + -560. Put -2, 9, h in increasing order.\nAnswer: -2, h, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11084 a multiple of 125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/((-3 - -6) + -5). Suppose u = a + 1, 6*s - 105 = 2*s + a. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -431233, -862753, -1294273, -1725793, -2157313?\n\"Answer: -431520*b + 287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 9, q: 1, b: 2, a: 2}. What is prob of sequence bla?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.89 in 0.4, -2, -2\/9, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/275442 and 77\/15?\nAnswer: 1377210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -357 - -364. Calculate the least common multiple of f and 201.\nAnswer: 1407","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203.82 rounded to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 7*u + 3 = 11*u. Sort 4\/5, 5, 1.9, 4, u in decreasing order.\nAnswer: 5, 4, u, 1.9, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 5:41 AM?\nAnswer: 3:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((5\/5)\/(36\/3))\/(-1)\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of 3*f**3\/2 - 20*f + 36. Let r(m) be the first derivative of x(m). Let t(z) = -3*z. Give r(t(d)).\nAnswer: -27*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1851\/148 - -120\/37. Calculate the common denominator of t and (82\/(-54))\/(3 + 70\/(-21)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -77.272614 rounded to two decimal places?\nAnswer: -77.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 126\/(-70)*(-90710)\/1737.\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -3*h**3 + 3*h**2 - 2*h - 3. Let a be d(-3). Is 0 - a\/(-2 + 1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 579.\nAnswer: 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 343.3238 years to millennia.\nAnswer: 0.3433238","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 + 2. Let v be (-7)\/d - (-21)\/2. Solve 4*r = 3*n - 26, -2*r = -v*n + 5*n + 20 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 33956 + -33960. Which is the nearest to -3? (a) l (b) 5 (c) -6\/37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001413 to 6 decimal places.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 + 10*k**2 - 10*k - 18. Let u be h(8). Let s be (-2)\/(-3*5\/u). Suppose 3*d - 18 = -5*t + 4*t, -16 = -s*t + 2*d. Solve -15 = -t*m + 3*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -2*x, -46*v + 48*v - 6 = x. Suppose -3*m - m - v*q = -5998, 4501 = 3*m + 2*q. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00012624593 rounded to 5 decimal places?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-2 + (-36)\/(-15)) - (44 + -42)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 141 - -216?\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26, -118, -268, -476, -742, -1066, -1448?\nAnswer: -1888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -9122962 times -8\nAnswer: 72983696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -5. Suppose g*f - 3 = 3. Suppose -f*d + 30 = d. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -292033*q**2*w**3 + 2*q**2*w + 39*q**2 + q*w**3 - 32422*q - 9*w**3 + 3*w - 3 wrt w.\nAnswer: -1752198*q**2*w + 6*q*w - 54*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 9 = -1, -5*n = 5*i + 10. Let t(x) = 4*x - 3. Let g be t(3). Let q = g + i. Is q a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 13*o + 59. Let b be j(-4). Suppose -b*v = -78782 - 46385. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21422515 (base 6) to base 15.\nAnswer: -c9d32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -139\/60 + 31\/12. Is m greater than or equal to -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31 + -2 - (-1 - 3)\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64701 divided by 39?\nAnswer: 1659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/6*59\/(-472)*216?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-2*1\/2). Let n be o + (32*1)\/4. Suppose -n*k + 475 = -5*r, 2*k - 4*r - 198 = -0*k. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -7436*u + 148710. Calculate y(20).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 55320\/75 - 2\/(-5). What is the highest common factor of m and 164?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of 19*x**8\/112 + x**4\/24 - 2*x**3\/3 + 54*x**2. Find the second derivative of t(z) wrt z.\nAnswer: 1140*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 456790720.\nAnswer: 2, 5, 43, 89, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003143879 rounded to 4 decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 11:33 PM?\nAnswer: 4:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-16)\/56 - (-150)\/(-14). Suppose 3*u - 3*x - 141 = -2*u, 0 = 4*u - 5*x - 118. Let y = u + p. Is y a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22 - -15.8. Let a = y + 6. What is the closest to 1 in a, 2\/3, 5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*r + 128 = -97*r. Which is the nearest to 0.4? (a) 0.3 (b) r (c) 3\/52 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -39194451*q**2 - 122418*q + 25 wrt q.\nAnswer: -78388902","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -11*h + 8. Let s be l(-8). Calculate the common denominator of (-10)\/(4 - s\/13) and -51\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 + 91*t**2 - 191*t - 491. Calculate i(-93).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - -13?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 1, -93 in decreasing order.\nAnswer: 7, 1, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 440 (base 7) in base 8?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2 + 0.3. Suppose 5*i - 29 + 9 = 0. Suppose -i*q = -5*q + 3. What is the closest to g in -4, -0.2, q?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 3802*c - 3805*c = 3, 7 = 4*h + c for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4687 (base 11) to base 15.\nAnswer: -1c4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -912\/37 or -9?\nAnswer: -912\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v - 7. Give p(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -145367748096 and -60.9.\nAnswer: -145367748156.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -978780 divided by 2?\nAnswer: -489390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 192357 and 172124541?\nAnswer: 1893369951","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 125649325 to the power of 1\/2, to the nearest integer?\nAnswer: 11209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 - -0.1. Let a = -9 - -13. Let v = 134.9 + -135. What is the nearest to v in 2\/3, i, a?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 - 19*b + 65. What is m(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + 3. Let l = -135 + 118. Let k = l + 20. Solve -3*u - 3*o = -9, -u + k*o = -5*u + a for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 7, -3, -6086.\nAnswer: -6086, -3, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 11:02 AM?\nAnswer: 6:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3 (b) -1243 (c) -167 (d) -2\/11 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-8))\/(((-135)\/(-132))\/(-45)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 to the power of 1\/2, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 24.0865615 to 3 decimal places.\nAnswer: 24.087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 48748 + -48747.9947954. Round g to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 1) + 2 + -4 + 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*r = -22*r - 5*a - 15, 8*r = -3*a - 34 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 53*j**2 - 100*j**2 + 18*j**2. Let c(u) = -34*u**2. Determine c(s(v)).\nAnswer: -28594*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8 - 5*u - 8)*(3*u - u + 0*u) + 2 - 13*u**2 + 2*u**2 - 2*u**2 to the form q*u**2 + r + x*u and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 + 4*x**2 - 53*x - 42. Let i be t(6). Solve i = -3*b - 192 + 183 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1950031?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 673 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -41632*x**3 + 13*x**2 + 16*x + 50 wrt x.\nAnswer: -249792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 180\/(-27) + -6*6\/(-54).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o and 1 k when four letters picked without replacement from kkkooooo.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 93 - 14. Suppose -3*p + 7*p = 5*y + g, 0 = 4*y + 12. Let s be -10*20\/p*-2. Solve 0 = 2*h + 3*h - s for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -618 (base 9) in base 11?\nAnswer: -418","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*j - 5*j + 3*j - 35*j + 25*j + 17*j + (-2*j + 2*j + 2*j)*(0 + 0 - 1) - 4*j + 6*j + 0*j + (2 - 2 - j)*(3 - 2 - 3) + 4*j + 2*j - 4*j.\nAnswer: 14*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -2*y. Let k(h) = -24*h + 18*h + h**3 - 5*h**2 + 7 + y. Is k(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 44*y**2 - 32131*y + 64243. Give o(2).\nAnswer: 157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 103589770 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21628587.\nAnswer: 3, 61, 118189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2430)\/(-351) - (0 + 7)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i + 2713. Let f(j) = -678. Let y(s) = -4*f(s) - r(s). Let b(t) be the first derivative of t**3\/3 - 9*t**2\/2 - 9*t + 2. Determine 4*b(q) - 36*y(q).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 17414459 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 466448 a multiple of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 8 = -4*q, -2*q + 3*j + 22 = -0*j. Which is the nearest to 2\/3? (a) 3 (b) -1\/6 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of b**4\/12 + 5*b**3\/6 + 5*b**2\/2 - 56*b. What is v(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*4\/(12\/(-159)). Calculate the greatest common factor of 477 and u.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/12274 and -9\/2.\nAnswer: 12274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vg when two letters picked without replacement from {w: 2, v: 3, g: 1, e: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 3*p = 247, -2*y - 308 = 3*y + 4*p. Let a(t) = -25*t - 8. Let z be a(-3). Let o = y + z. Solve 4*f + 12 = -3*w, 6*w + o*f = 3*w - 9 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of -2*t**2 - 42*t + 310. What is f(-9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 5:20 PM?\nAnswer: 1:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v + 4. Let x(k) be the third derivative of k**4\/6 + 17*k**3\/6 - 11*k**2 + 44. Calculate -18*t(y) + 4*x(y).\nAnswer: -2*y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29 + -20. Let a(i) = 4*i - 28. Let b be a(n). Let v(p) = p**3 - 9*p**2 + 10*p - 11. Give v(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2879 - 2741. Let b(x) = x**3 - 11*x**2 - 9*x + 2. What is the remainder when q is divided by b(12)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 0*i + 2*i)*((-i + i - i)*(8*i - 5*i + 5*i) + (4*i - 2*i - i)*(0*i + i - 3*i)).\nAnswer: -20*i**3 - 10*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5*((-2502)\/(-695))\/((-1)\/(2\/(-3))). Let s(q) = q**3 + 13*q**2 + 10*q + 11. What is s(g)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 9621?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-50)*(-12 - (-348)\/24)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1874359 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 950\/11? (a) -65 (b) 11 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/12)*x)\/x**(-3\/2) assuming x is positive.\nAnswer: x**(29\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 2*x + 1 - 33, 3*u - 61 = -5*x. Let d = x + -7. Suppose -6*h = -d*h - 22. Is h a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 1 - l**2 + l - 2*l + 1. Suppose 3*b = -d + 2, -d - 4*b - 4 = -3*d. Let f(t) = -3*t**2 - 3*t + 5. Determine d*f(u) - 5*k(u).\nAnswer: -u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 - b + 2. Let k be p(0). Let x(y) = -y**2 + 103*y**3 - 35*y**3 + 0*y**2 - 2 - 38*y**3 - y - 29*y**3. Calculate x(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u**5\/3 + 22*u**4\/3 + 137*u**3\/3 + 140*u**2\/3 - 100*u = 0. What is u?\nAnswer: -10, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1452)\/(-176)*(-152)\/57?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 164822\/56742 + 4\/42?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 1841*a**2 - 13009*a + 887. Calculate n(7).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000077974 rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*l**2 - 2)*((-3*l + 0*l + l)*(58*l + 109*l - 113*l) + 218*l - 218*l + 18*l**2).\nAnswer: 180*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -27392 rounded to the nearest one thousand?\nAnswer: -27000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of -b**5 + 25*b**4\/4 - 15*b**3 + 35*b**2\/2 - 10*b - 4. Factor w(d).\nAnswer: -5*(d - 2)*(d - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express c**3 - 97 + 34*c**2 - 2*c**4 - 15*c**2 - 2*c - 16*c**2 in the form f*c + k + m*c**4 + x*c**2 + r*c**3 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37454, 74870, 112244, 149576?\nAnswer: 186866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 5*d + 12 = 0, 3*d + d = 2*c + 24 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3438?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 + 7*x**2 + 11*x - 4. Let p = 10 - 3. What are the prime factors of s(p)?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 q when three letters picked without replacement from fdqq.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 197450779 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 times -16?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-94 + 26 + 36)*(-3 - 1 - 1)*(4*t - 6*t - 2*t)*((2*t - t - 3*t)*(-2 + 0 + 1) - 3 + 3 - t) in the form b + o*t**2 + g*t and give o.\nAnswer: -640","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -634 (base 7) to base 8.\nAnswer: -477","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -87228 (base 9) in base 7?\nAnswer: -330311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 202\/9 = 23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (((sqrt(2000) - (2 + sqrt(2000)))*-5)**2 - (sqrt(2000)*4 + sqrt(2000))*5)*6.\nAnswer: -3000*sqrt(5) + 605","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29154699.\nAnswer: 3, 7, 462773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 60, 811, 2980, 7293, 14476?\n\"Answer: 121*t**3 - 17*t**2 - 45*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2960 and 0.9.\nAnswer: 2960.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 7)*(-1 + 0 + 3)*(-7994*s + 7994*s - 1789*s**2).\nAnswer: 25046*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 372 - 192. Let p = q - 42. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u - 4*u + 0 - 3. Let g = -34007 - -34011. Give a(g).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -0.3, 4\/9, 954453, 0, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 AM and 8:35 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105 is divided by 74?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jb when two letters picked without replacement from {j: 1, g: 3, t: 11, b: 4}?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -2013 greater than -1986?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*v + 31 + 22 = -42 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**3\/4 + 303*k**2\/2 - 306*k.\nAnswer: 3*k*(k - 2)*(k + 204)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 5:08 PM?\nAnswer: 6:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 4. Let u = p + -1. Let n = -176.9 + 177. Which is the closest to n? (a) -1\/8 (b) -0.1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 2 i when four letters picked without replacement from nnjiji.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 40*r**3 + 306*r**2 - 7*r + 34. Let c(g) = 35*g**3 + 307*g**2 - 6*g + 29. Give 7*c(t) - 6*z(t).\nAnswer: 5*t**3 + 313*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -73*p + 77*p + 6*v, 3*v = p + 16 + 2 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + 3. Let o(s) = -1 - 17*s**2 - 7*s**2 + 67*s + 23*s**2 - 58*s. What is o(n)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 133131010313 (base 4) in base 16?\nAnswer: 7dd137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -7 + r + 4 + 3. Let q(j) = -27*j + 22. Let g(d) = 124*d - 88. Let b(i) = 2*g(i) + 9*q(i). What is b(m(n))?\nAnswer: 5*n + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-114)\/(-15) + 6\/(-10). Suppose -3*n = -2*n - q - 427, 0 = -5*n + q + 2135. Suppose -z*y + n = -1155. Is 16 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2*h - 2*m + 12 = 0, -2*h + m = -14. Let b be -4 + h - 8\/5. What is the third biggest value in b, -2, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + 11 - 7 - (-4)\/(-2). Solve -1 - 14 = -d*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -591, -1298, -2487, -4158, -6311?\nAnswer: -8946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12633938?\nAnswer: 2, 6316969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118108.\nAnswer: 2, 29527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4794949 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, y: 2, s: 6, v: 2, u: 1}. Give prob of sequence vsev.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 30*h = -135. Let q(p) = -p + 17. What is q(h)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 3*t + 15. Let u(r) = 2*r + 7. Let s(j) = -6*b(j) + 13*u(j). Determine s(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.91, -51, -1, 21, -5, -2\/5?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + 3*h**2 - 2*h + 3. Let u be b(2). Let n = 9 - 5. Let p be (3 - 4)*1*(-3)\/(-9). Put n, u, p in increasing order.\nAnswer: p, u, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 + 0.2. Let k be (-1*9\/42)\/((-15)\/20). What is the smallest value in k, -1\/2, i?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6 (b) -26 (c) 3\/32885\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 AM and 8:12 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {w: 5, z: 13}.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -364 (base 13) to base 7.\nAnswer: -1501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46\/6*1968\/656.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 183 - 179. Let j = 0.1 + 4.9. What is the second biggest value in j, 0.04, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 971292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15 is divided by (-31 - -23)*(-6)\/4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 divided by 92.\nAnswer: -17\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - z**3 - z + 1 + z**4 + 2*z + z + 4*z**2 as g + f*z**2 + l*z**4 + t*z + x*z**3 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q**2 + 90*q - 282. What is h(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156*w + 1375 + 481 = -40*w for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -53, 14, 2, 6.75, 4\/7, 0.2 in descending order.\nAnswer: 14, 6.75, 2, 4\/7, 0.2, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14 + 142*h - 62 - 210*h - 158*h - 192*h wrt h.\nAnswer: -418","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3705*d - 3250*d - 41860 = 0 for d.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5610 + 5?\nAnswer: -5602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 - 22*z**2 + 5. Let l be c(-22). What is the nearest to 0 in 0.5, 4, l?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.31929 and -343?\nAnswer: -109.51647","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one twentieth of a kilometer?\nAnswer: 5000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 265 and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 832*y**2 - 78*y - 2184. Let h(k) = -k**2 - k - 28. What is -5*g(a) + 390*h(a)?\nAnswer: -4550*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 - w - 5. Let i(j) be the third derivative of -5*j**4\/24 - j**3\/3 - j**2. Calculate the remainder when x(7) is divided by i(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 274167 is divided by 27412?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 140, -0.1, 2\/17, -3, 0.9, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -53 - -53. Suppose 0 = -0*j + 2*j + 4*z - 236, 5*j - 2*z - 542 = q. Suppose -4*u + j = u. Is u a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4 + 209 + 146 - 398*x**4 + 306 wrt x?\nAnswer: -1592*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14a (base 14) in base 5?\nAnswer: 2022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -84 + 30. Let f = 15449\/16 - 970. Find the common denominator of f and ((-201)\/(-40))\/(l\/(-45)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2045 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-30)\/(-9)*((-5)\/2 - -4). Suppose 3*o + 60 = -0*d + 3*d, -s*o = -4*d + 82. Solve 3*j + 4*h = 2*j - d, 3*h + 12 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 10:11 PM?\nAnswer: 4:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 104326776\/31 or 3365379?\nAnswer: 104326776\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6\/1*(-2)\/54 + 5946\/27 and 275?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -2*(5 + sqrt(468) + 0).\nAnswer: -12*sqrt(13) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, -1, 4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*x - 25*x - 61 = -z, 28*z - 13 = -23*z + 47*z + x for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18, -23, -28, -33, -38?\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 28*l - 27. Let c be m(9). Calculate the common denominator of 1\/15*c\/27 and 58\/(-8) + 1*-2.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 3*d**2 + 73*d + 150. What is z(-22)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2484.58l to millilitres.\nAnswer: 2484580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 139\/5 + -136\/5. Which is the nearest to -1? (a) l (b) 12 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -31*d. Let p(i) = -31*i**2. Determine b(p(q)).\nAnswer: 961*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 439 - 439 + 116*a**3 + (1 - 4 + 4)*(-3*a**3 + a**3 + 3*a**3).\nAnswer: 117*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = f. Suppose f + 10 = 5*c. Sort -1, -4, c in descending order.\nAnswer: c, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 390.8607ug in nanograms?\nAnswer: 390860.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1565 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jw when two letters picked without replacement from xtrwwwxwjxxtwwtwwww?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 326.07, -4\/5, -5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 22*5\/(-25)*(-45)\/(-6)*119\/119\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-18)\/15)\/((6\/40)\/1). Let n(d) = 7*d**2 + 10*d + 49. What are the prime factors of n(a)?\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1604863*d*g**2 + d*g + 3*d + 53878*g - 1 wrt g?\nAnswer: 3209726*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 2*g = -1, 5*g = -4*k + g + 8. Suppose f - 10 = -4*j, f - 14 = -5*j - f. Solve 3*u + j = -k for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 26, 7, 3 in ascending order.\nAnswer: -2, 3, 7, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16388, -32774, -49160, -65546?\nAnswer: -81932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**4\/12 + p**3\/4 + p**2\/6.\nAnswer: p**2*(p + 1)*(p + 2)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1690 (base 10) to base 4.\nAnswer: -122122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3320473335.\nAnswer: 3, 5, 221364889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 3*w + 707441 - 707432 = 0, -n + 22 = -4*w for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1317605865.\nAnswer: 3, 5, 29, 31, 199, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 12, -1, 1\/113, 52?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*n - 15*n + 12 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 996.\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -16.838, -1, 36?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -534400 + -1040?\nAnswer: -535440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of -x**2 - 244. Let n(v) = 601*v**2. Calculate t(n(p)).\nAnswer: -1202*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - -56003?\nAnswer: 56007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 80624303 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.64 + -0.04. Let h = 14.6 - k. Let p = h - 14.00011. Round p to 5 decimal places.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 3*o - 7*o = 35, -4*o = 20. Suppose -4 = -3*b + 8. Suppose -r = -b*q + 36, -6*q + q - y*r = -28. Calculate the greatest common factor of q and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2137?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -13*f + 57. Calculate the remainder when 14 is divided by f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2*u = 0. Suppose -2*c + f = -12, f + 2 + 0 = 0. Let r be c + (0 - (0 - -1)). Solve 0*y + r*y = u for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6805 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2\/5, 2\/23 in descending order.\nAnswer: 4, 2\/5, 2\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 3*y = 1. Let b(p) = 22*p**2 - p - 1. What is b(y)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/13, -78\/83, 1\/7, 1, 6.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1368762 divided by -449.\nAnswer: 1368762\/449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121 (base 10) to base 9.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -790\/19 + 1291669\/31065. Which is smaller: 1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 3*f - 5*j + 8 = 0, -5*f + 4*j = 20. Let v = f - -5. What is the least common multiple of 3 and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35 by 6.\nAnswer: 35\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92 = 8*l - 6*l. Is l bigger than -47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {s: 1, x: 1, e: 5, v: 2}.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 3*b - 5. Suppose -2*m + b*u + 9 = m, 2*m = 2*u + 6. Let o(p) = -p**2 + 5*p - 2. Let r be o(m). Solve -t + 5*f + 11 = 0, t - r*f = -f + 5 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 2)*(0 - 2*u + 0) + 1 + 3*u - 1.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -64\/94555 and 4\/215.\nAnswer: 4065865","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1\/8 (b) -1 (c) -16 (d) 1957\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 + 10. Let d = 36 + -33. Let i(b) = 11. What is d*i(y) - 2*a(y)?\nAnswer: -2*y**2 + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6923695367 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 75 and 22.\nAnswer: 1650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 4, 574, -2 in increasing order.\nAnswer: -10, -2, 4, 574","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2148259, -2148235, -2148211, -2148187?\n\"Answer: 24*x - 2148283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -3*d**3 - 161*d**2 - 127*d + 92. Is o(-53) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (6 + -4 + 2) - -7\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 17706 to the power of 1\/2, to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 + 33. Does 7 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 151608000 to the nearest 1000000.\nAnswer: 152000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v**3 + 2*v**3 - v**3.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 114 + -102. Suppose 2*c + h = 2*n, 3*c - 4 - 13 = -4*n. Suppose 5*k + n = 0, 7*m + 5*k - 22 = 4*m. Is m a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 4*p**2 + 43*p + 92. Calculate l(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-11))\/(k**(4\/7)*k)*k**(-4)\/(k*k*k**(-2\/37)*k))**(2\/63) assuming k is positive.\nAnswer: k**(-9592\/16317)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/(-3))\/(-3 - (-726)\/243). Suppose 211 + z = 29*v. Solve 2*b = p + 12, 0*b + v = -3*p + b for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 277520673?\nAnswer: 3, 92506891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 - 2*t**2 + 6*t + 1. Determine i(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.1 + 1.1. Let i = 3 + u. Which is the third biggest value? (a) 0.4 (b) i (c) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of -s**5\/60 - 5*s**4\/12 - 5*s**3\/2 + 6*s**2 + 6*s + 77. Let b(a) be the second derivative of m(a). Determine b(-10).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -8 - -10 - ((-2)\/(-1) - -730). Let q = i - -1455\/2. Which is the closest to 0.02? (a) -4 (b) q (c) 0.4 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, m: 3, k: 1, c: 4, h: 2}. What is prob of picking 1 h and 1 m?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2963921\/35656 - -665\/8. Let s = -164901\/17828 + o. Find the common denominator of s and -81\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -3*s**2. Let o(y) = -10*y. Let d(q) = 5*q. Let j(n) = -5*d(n) - 2*o(n). What is u(j(v))?\nAnswer: -75*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 16*b + 13 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-3\/17)*w)**(-26)*w**(-9\/2)\/w**(-5\/8) assuming w is positive.\nAnswer: w**(-3439\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -3*j**3 - 4*j - 20. List the prime factors of y(-3).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 484 + -482. Solve 5*m = 3*o + 19, 2*o - 16 + 2 = -a*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0738999 * 2.\nAnswer: -0.1477998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.29 + 7.79. Let j = h + -8. What is the smallest value in -2, j, 1\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1240839?\nAnswer: 3, 15319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.004 - -0.8. Let z = 33492 + -33492.203889. Let y = m - z. What is y rounded to five dps?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m**2 + 4*m + 11. Calculate a(-3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*t - 5*t - 7*t - 4*t + 59*t**2.\nAnswer: 59*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = 4*v - 7*v. Suppose -2*d - v = 5*l, 2*d - 5*d = -4*l - 25. Suppose 0 = 5*r - 102 + 22. Solve -d*w = w - r for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n + 6 - 1 + 3*n. Let w be u(7). Suppose -w = -a + 5*j, -4*j = a - 4*a + 79. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1440 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - m + 5*q = -110, 0 = 2*m + 4*q - 44. Suppose -97 = -2*t - 5*g, 3*g = t - 13 - m. List the prime factors of t.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 6*l**2 + 48*l + 13. Let a be o(-8). Suppose 26055 = 40*y - a*y. What is the hundreds digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -36, -188\/71, 2\/9 in increasing order.\nAnswer: -36, -188\/71, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.28 - -0.3396. Let f = w - 0.06. What is f rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 146 by 1.\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (-2 - 3 - -10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.2, -0.4, -0.1, 0.2, 353\/14?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 63810 rounded to the nearest one thousand?\nAnswer: 64000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.02 - 0.136. Let y = 247.0722 + -246.9. Let u = p + y. What is u rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(14)\/sqrt(343))**2 + (sqrt(198)\/sqrt(9))\/sqrt(11) - ((-1*sqrt(264) + sqrt(264))\/sqrt(12))\/(sqrt(275) - (sqrt(275)*2 + sqrt(275))))*1.\nAnswer: 2\/49 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of -h**6\/10 - 3*h**5\/5 - 3*h**4\/4 + 2*h**3 + 6*h**2 - 33*h + 1. Let z(p) = 0. Calculate p.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*q**3 + 11*q**3 + 2*q**3 + 1 - 1.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 111\/(-37) - 3\/(-2).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -120*o - 8 with respect to o.\nAnswer: -120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 40437418?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(1\/5))\/s*s*s**(-18)\/s)\/(((s*s*s**7*s)\/s)\/s*s**1) assuming s is positive.\nAnswer: s**(-136\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 97*r**2 + 315*r. Let p(h) = -90*h**2 - 315*h. Let i(s) = 5*p(s) + 4*t(s). Find the second derivative of i(c) wrt c.\nAnswer: -124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -195 + y - y**2 + 146 - 10*y**2 with respect to y.\nAnswer: -22*y + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 0 - 2\/(-3)*1653\/(-760) and 15\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.19 + 3.17.\nAnswer: 2.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 13, 0.19, 0, 112\/5, -5 in increasing order.\nAnswer: -5, -0.3, 0, 0.19, 13, 112\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1\/4)\/b)\/b*b**(9\/5)\/b)**(15\/4) assuming b is positive.\nAnswer: b**(-87\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, 33, 2, 2184, 5 in ascending order.\nAnswer: -5, -3, 2, 5, 33, 2184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j + 12. Let c(f) = 6*f**2 - 61*f + 8. Let b be c(13). Suppose b = 18*v - 23. Determine h(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 - 8*m**2 - 10*m + 9. Let u be g(9). Suppose u = 4*s - 8*s. Suppose -2 = -h - 0. Solve s = h*z + 5*b + 31, -4*z = z - b + 10 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)*1*-4 + -5 + -4 + sqrt(171) + -4*(sqrt(171) - ((sqrt(171) - (sqrt(171) + sqrt(171) + sqrt(171)*1)) + sqrt(171))))**2.\nAnswer: 594*sqrt(19) + 20772","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 2*y = 144. Suppose -y = -v + 3*g + 63, 4*v = 2*g + 346. Does 21 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10565 is divided by 173.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*k + 55*k - 3944. Suppose 4*y + 32 - k = 0. Solve 4*z - 7 = 13, 3*z = 2*p + y for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-20))**(-1\/5)*((n\/(n*n*(n\/(n\/(n\/n**(-6\/13)*n)))\/n))\/n)**39 assuming n is positive.\nAnswer: n**(-656\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113*m + 110*m + 114 = 0. Does 33 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 5*o**3 - 2*o**2 - 2. Let i be k(-4). Let h = i + 231. Is 1\/4 - h\/4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7)\/(7\/2)*-2. Sort 3, l, -2 in descending order.\nAnswer: l, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36191234641 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -28*m - 27. Let c = 80 + -85. What is the units digit of s(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3\/9 + 2*s**2\/3.\nAnswer: 2*s**2*(s + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 39328 and 589920?\nAnswer: 589920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 3 + 2)*(3*c - c - c) + (-2*c + 0*c + 4*c)*(9 + 2 + 0))*(-3 + 2 - 1).\nAnswer: -40*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102802385?\nAnswer: 5, 7, 61, 179, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1202 (base 3) in base 10?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 4:36 PM?\nAnswer: 10:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 768 a factor of 91760427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 449370.\nAnswer: 2, 3, 5, 4993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(9)\/((sqrt(12)*1)\/sqrt(4)).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*f - f - 3*f - 1)*(2 + 7 - 4)*(-33 + f + 33) in the form d*f + o + i*f**2 and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -67*h - 61. Calculate c(-5).\nAnswer: 274","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 1 - 6 = 3*t, y - 8 = 2*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -4*x - 9. Let h(g) = 2*g + 2. Let c(d) = -3*d + 84. Let q(u) = 2*c(u) - 2*h(u). Let w be q(17). Let y(n) = 5*n + 10. What is w*t(j) - 5*y(j)?\nAnswer: -j + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*p**6 + 17*p**4 + 3*p**3 + 1343*p**2.\nAnswer: -960*p**3 + 408*p + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26471872 divided by -1890848.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(5\/2)*k*k*k*k*k**(-6\/5))\/((k\/((k**(2\/3)\/k)\/k))\/k)**(-4\/5))**49 assuming k is positive.\nAnswer: k**(9359\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 93, 426, 1001, 1818, 2877?\n\"Answer: 121*o**2 - 30*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 54 + -48. Suppose 174 = x*u - 24. Suppose -5 = t + 2*i - 17, 24 = 2*t - 2*i. Calculate the lowest common multiple of u and t.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 + w**2 + 3*w + 3. Let m be n(-1). Let r = 0.7 - 1.4. Which is the biggest value? (a) r (b) m (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z - 4 + 4)*(3*z**2 + 0*z**2 - 4*z**2) + 3*z**2 - 3*z**2 - 2*z**3 + (z + 7*z + 6*z)*(z + z**2 + 2*z**2 - 4*z**2).\nAnswer: -18*z**3 + 14*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*z**2 + 2*z**2 - 11*z**2 + 17*z**2.\nAnswer: 20*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1036 and 152362.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97 = -3*x + 5*o + 71, 3*x - 3*o = -24 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, c: 1, k: 2, u: 7, j: 1, n: 8}. What is prob of sequence kcjk?\nAnswer: 1\/58140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/(sqrt(2) - (sqrt(2) + (sqrt(512) - sqrt(2)))) + 3 + -4.\nAnswer: -1 - sqrt(5)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d - 2*d + 19 + 86.\nAnswer: -4*d + 105","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-4 - (1 - -1)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2591 + -2545. Calculate the remainder when 224 is divided by l.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 - 6*a - 3. Let w(o) = -o + 8. Let b be w(10). Let y be -7 - b\/((-6)\/(-9)). Let l be c(y). Solve 3 = -4*v + 2*x - l*x, 0 = 4*v - 2*x - 2 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 103*-1.8.\nAnswer: -185.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sps when three letters picked without replacement from sssspppppsspppsspss.\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4400 by -5.\nAnswer: 880","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.019 - 61.981. Let n = t - -60. Let f = -2 - -1. What is the nearest to n in 5, f, 0.5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 3 - l**2 + 2892*l**3 - 2886*l**3 + l**2 - 3*l. Give i(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + o - 8. Let r = o - 2. Determine s, given that 2*s**3 - s**5 - 3*s**3 + r*s**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttgtotttotoo. What is prob of sequence tgt?\nAnswer: 14\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -5*c**3 + c**2 - 1. Let i be a(-1). Suppose 0 = -4*d + 4*m - i*m + 51, -2*d + 3*m = -15. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 35 - -5. Suppose -42*r - 572 = -4*g - 40*r, -2*g + 292 = -2*r. What is the highest common factor of h and g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 15*m**3 + 13*m**2 + 93*m + 13. Let h(c) = -7*c**3 + 9*c**2 - 556 - 15*c**2 + 625*c + 550 - 671*c. What is -13*h(k) - 6*z(k)?\nAnswer: k**3 + 40*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -4*f**4\/3 - 13968*f**3 - 36624072*f**2 - 219367440*f - 328862700 = 0?\nAnswer: -5235, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -11.318 and 0.113.\nAnswer: -1.278934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -106, -551, -1574, -3463, -6506?\n\"Answer: -48*g**3 - g**2 - 106*g + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of -r**4\/4 - r**3\/3 + 7*r**2\/2 - 11*r + 16. Let v be m(-4). What is the greatest common factor of 9 and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -45*q + 17. Is v(-12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 65564 - 38247. What is the thousands digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2979 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.14 + 0.06. Which is smaller: 30 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1518 is divided by 224?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t**3 - t**2 - 4*t + 7. Let s be w(3). Does 11 divide 2\/2*(1 + s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-2238)\/(-16039))\/((-3)\/6))\/(8\/(-2))\nAnswer: 3\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 != 1076?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kjy when three letters picked without replacement from {y: 3, o: 2, k: 4, j: 1, r: 1}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 67*h - 65*h + 8 = 0, 5*b + h + 4 = 0. Suppose 18 = -5*t + 123. Suppose t*i - 25*i + 1516 = b. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, i: 17}. Give prob of sequence iqqi.\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1460096 and 19703.\nAnswer: 1037","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9681, 38581, 86697, 154029, 240577?\nAnswer: 346341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 8*q**2 + 7*q + 2. Let v(s) be the first derivative of -17\/3*s**3 - 223 - 15\/2*s**2 - 4*s. Determine -13*g(p) - 6*v(p).\nAnswer: -2*p**2 - p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -325 + 155 + m**3 + 166 - 3*m + 8*m**2 as l + r*m**3 + z*m + g*m**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in -0.5, 0.5, -3\/7, -18?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u + 13 + 4 - 1 + 1. Calculate the remainder when 63 is divided by s(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-591)\/197*413\/(-236)?\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 490932331 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -4*l - 13. Let c be n(-4). Suppose 0 = -c*r + 92 - 23. List the prime factors of r.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -l - 2*x, x = 2 - 0. Suppose -l*m + 1 = -11. Suppose -m*p + 11 = -g - 4, -5*p = 5*g - 50. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 7*t. Let n(f) = 79*f - 77*f + 0 + 0. Calculate z(n(k)).\nAnswer: 14*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 3083 = 3*w, -d - 2*d - 3*w = -2307. Suppose -5*v - 70 = -d. Suppose 7*f = 3*f + v. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((960\/(-168))\/((-2)\/(-7)))\/2?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -73786 - -211857. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cz when two letters picked without replacement from {z: 5, d: 3, v: 8, c: 2, b: 2}?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 7 - 1. Suppose -g - 2*g + 3*q + 21 = 0, -4*g + 20 = -2*q. Let b = z + g. What is the remainder when 26 is divided by b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -916.3 (b) -0.2 (c) 383\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-10) - (-4)\/10. What is the nearest to 0.4 in -3, t, -1\/6?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12*(-6)\/8 + 0. Let j be (g - -7) + (-6)\/(-2). Which is the nearest to j? (a) 3 (b) -22\/5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 146, 92, 0, -130?\n\"Answer: -19*q**2 + 3*q + 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*q + 14*q**3 + 61*q.\nAnswer: 14*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3\/9*(3 - -9 - -3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of 79*i**5\/15 - 3*i**4\/4 - i**3 + 4*i**2 + 21. Find the second derivative of t(h) wrt h.\nAnswer: 632","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**0)**(-1\/25)\/(b**(-2)*b**(-1\/4)) assuming b is positive.\nAnswer: b**(221\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - 91?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*(-2)\/(-72) - (-36)\/270?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 take away -5103902?\nAnswer: 5103898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 9:28 AM?\nAnswer: 10:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-8)\/((-64)\/(-10))*4?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 8*j**5 + 12*j**4 + 8*j**3 - 24*j**2 - 4*j + 60. Let s(m) = m**5 - m**3 + 3*m**2 + m + 1. Let b(i) = q(i) - 12*s(i). What is w in b(w) = 0?\nAnswer: -2, -1, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646.88 plus -527.71?\nAnswer: 119.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 - -6) + -2 + 27 - 4?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2651 divided by -3?\nAnswer: 2651\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9280 and 164640?\nAnswer: 9549120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a**2 - 2*a. Let w be y(-1). Let x(r) = w - 2*r + 3 - 1 + 0*r. Determine x(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 = -7*f + 497. What are the prime factors of f?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*l - 3 = -18*l - v, l - 2*v = 16 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a = -9*a. Let v be (-2 + 5)*(a - (-2)\/(-2)). Put -5, v, 0, 3 in ascending order.\nAnswer: -5, v, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2832066993?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 120957679 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -566.21?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**18*o)\/o**(-3\/4)*(o**4*o)**(-46))**(2\/9) assuming o is positive.\nAnswer: o**(-841\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**2 - 1909620*m - 660129940.\nAnswer: -5*(m + 346)*(m + 381578)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -4*w + 8, -4*w = 2*f - 7*w + 16. Let u(d) = d. Let m be u(f). Is -11*((2 - 3) + m) a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -48.94 + 49. Which is the fourth biggest value? (a) 2 (b) -2\/7 (c) n (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68320?\nAnswer: 2, 5, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/24 of a hour?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*u - 930 = 2910. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 33 + -33361214?\nAnswer: -33361151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 40.3 + -8.3. Let t = -31.99999803 + f. Round t to seven decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 658 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4.2 * 7.47\nAnswer: 31.374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + -16050?\nAnswer: -16053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 - (-15)\/(1 - 6). Let c(z) = -6*z**2 - z - 1. Give c(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 364487*-0.1.\nAnswer: -36448.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4570752285?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-470 - -473) + ((-14)\/(-3))\/(-2). What is the nearest to c in 7, 0, 42?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a tonne in kilograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4810743 by 9.\nAnswer: 534527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 201, 199, 197, 195, 193, 191?\nAnswer: 189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cwwwcllclfll. Give prob of picking 1 l, 1 w, 1 f, and 1 c.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/39, -0.1, -888, 25 in descending order.\nAnswer: 25, 2\/39, -0.1, -888","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of 7*g**6\/12 + 27*g**5\/5 + 89*g**4\/8 - 43*g**3\/3 - 24*g**2 + 16*g + 107. Find m, given that n(m) = 0.\nAnswer: -4, -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 25 and 13859220?\nAnswer: 69296100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -863, -1732, -2603, -3476, -4351?\nAnswer: -5228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 q when two letters picked without replacement from {w: 2, l: 9, z: 2, q: 3, t: 3}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3544.\nAnswer: 2, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 752 - -1766. Suppose -c = -3*c + j. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -4*k**3 + 15*k**2 - 24*k + 26. Let c(b) = 2*b**3 - 5*b**2 + 8*b - 9. Let z(s) = 7*c(s) + 2*l(s). What is the remainder when z(2) is divided by 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -307 - -45.1.\nAnswer: -261.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of i**6\/30 + 4*i**5\/3 + 31*i**4\/2 + 84*i**3 - 124*i**2 - i. Find y such that w(y) = 0.\nAnswer: -14, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 130 - 130. Solve c - 8 = -2*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -48 and -289.2?\nAnswer: 13881.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 PM and 7:59 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4220695 by -4.\nAnswer: 4220695\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 37*z + 5. Let x be f(-3). Let r = 363 - x. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/52632 and 47\/360.\nAnswer: 263160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 927 and 90.\nAnswer: 9270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 177 a factor of 149173499?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of -s**6\/6 + 25*s**5\/4 + 265*s**4\/12 + 45*s**3\/2 + 50*s. Find h, given that m(h) = 0.\nAnswer: -1, 0, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20565 and 225?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*v - v + 4*v + (-2 + 3 + 1)*(-5*v + 5*v + v) - 80 + 4*v + 80 to d*v + g and give d.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -8*r - 217. Give d(-32).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/30 and -127\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 2*o**5\/3 - 14*o**4 - 1406*o**3\/3 + 9374*o**2 + 9828*o = 0.\nAnswer: -26, -1, 0, 21, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/((-3)\/2) + 5 + -2. Is 36\/19 less than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63 + 2271193092.\nAnswer: 2271193155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 238762, 955052, 2148868, 3820210, 5969078, 8595472, 11699392?\nAnswer: 15280838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 255553.9998 + -255585. Let x = p + 31. Round x to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80) - -3*(sqrt(80) + 1))**2 + ((sqrt(10) + sqrt(10) + sqrt(20)\/sqrt(2))\/sqrt(2) - 1*sqrt(125)).\nAnswer: 94*sqrt(5) + 1289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -1213*q + 5. Let d be z(-4). Let f = -106 + d. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30183?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 20.86*-6\nAnswer: -125.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10160.0000278 - -10160. Round g to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -5. Suppose 3*o + 368 = u, -u - 500 = 4*o - 0*u. Let k = 130 + o. What is the remainder when k is divided by b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -22444 + 43124?\nAnswer: 20130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 330826 is divided by 57?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 21 + 53. Suppose -2*q - 2*q + 48 = 0. Let c = q + a. Is c a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33294.\nAnswer: 2, 3, 31, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/3 + (-15)\/(-5). Let o be ((-5 - -3) + 2)\/g. Suppose x - 17 = -o*x. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g**2 - 2480*g + 307520 = 0 for g.\nAnswer: 248","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(180)*-6)\/sqrt(4).\nAnswer: -36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -545.21 and 107.\nAnswer: -58337.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 358*m**3 + 2*m + 1176 wrt m.\nAnswer: 1074*m**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 523.427l to millilitres.\nAnswer: 523427","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5863 - 5862. Sort -2, 3\/7, a, 104 in descending order.\nAnswer: 104, a, 3\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 3\/4 (c) -1\/5 (d) 925 (e) -33\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*a**2 - 13 + 35*a**2 + 2*a - 19*a**2 to the form o + g*a + w*a**2 and give o.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 6*i + 33. Let o be h(-8). Let y(u) = u**3 + 13*u**2 - 31*u - 9. Let x be y(o). Does 15 divide x\/21*1 - (-3039)\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from aaaaayaypaaypaaaa.\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12 take away 46273.208261?\nAnswer: -46273.328261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*a**5*f**3*g - 1910*a**4*g**2 + 2*a**2*f**3*g - 8816*a*f**3*g**2 wrt a?\nAnswer: 120*a**2*f**3*g - 45840*a*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7231.497 centuries to years.\nAnswer: 723149.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffk. Give prob of sequence fkff.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -232513.762 rounded to the nearest one thousand?\nAnswer: -233000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 14298076691 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 - 2*b**2 + 3*b + 4. Let v be 6\/(-6*4\/(-84)). Let n = -5 + v. What is the least common multiple of n and h(-3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 AM and 3:34 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6022538 and 1542?\nAnswer: 514","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 4, -d - 170 = 4*k - 6349. Is 15 a factor of k\/30 + 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4d1 + de027?\nAnswer: ddb56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q\/((q\/(q*q*(q*q**(3\/7))\/q*q*q*q))\/q))*(q\/q**(-3\/4))\/q*(q**(-2\/7))**(-39)*q**(2\/9)\/(q**6\/q*q)*((q*q**(-2\/9))\/q)\/q*q**(-5\/2)\/q assuming q is positive.\nAnswer: q**(-113\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 + 7 + 7*d**2)*(-3*d**2 + d - d) to m*d**2 + j*d**3 + t + l*d**4 + w*d and give l.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -16*f**3 - 53*f**2 + 44*f - 40. What is l(-4)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-4\/5))**(-29))**17 assuming i is positive.\nAnswer: i**(-4437\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4648\/2525 < 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 PM and 7:00 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - (-6 + 1 + 17 + -7).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 5*n + 14, 0 = n - y + 7 - 3. Let i = n + 4. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11314242 is divided by 234?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1003, -4243, -9705, -17395, -27319, -39483, -53893, -70555?\nAnswer: -89475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17422, 17422, 17420, 17416, 17410?\nAnswer: 17402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -0.19.\nAnswer: 0.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/1414325 and -117\/173750?\nAnswer: 70716250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 88048.26ml in litres?\nAnswer: 88.04826","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u + 41. Let c(h) = h + 40. Let s(n) = -2*b(n) + 3*c(n). What is the units digit of s(17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4751 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: Suppose 273 = -2*a - 9. Let d = a + 293. What are the prime factors of d?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 50*q + 102*q - 46*q - 4*q**3 + 4 in the form s*q**3 + d*q**2 + k + l*q and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6.608 - -0.092. Let v = 7 - d. Let c = 3.08 + -0.08. What is the smallest value in v, c, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 177 = 2*k + 81, 0 = -k - 4*d + 58. Solve 0 = -k*y + 8*y + 90 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 3)*(2 + 0 - 4)*(-6*h + 4*h + 0*h).\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 33*8\/88*32*2\/(-6)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/1)\/((-1635)\/47415)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1344 + 1353. Let b(d) = -d**2 + 8*d + 17. Calculate b(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/10 and 67\/100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*q = 466807 + 354247. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 0 + 0)*(-6 + 0 - 11).\nAnswer: 34*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26291, 210229, 709499, 1681769, 3284707, 5675981, 9013259?\nAnswer: 13454209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 4*n - 5*x, -67*x + 14 = 2*n - 69*x. Calculate the lowest common multiple of n and 28.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - a + 3)*(-326167 + 1008*a + 326167 + (-2*a + 3*a + 0*a)*(-5 + 0 + 4))*(-2 + 3 + 0) as v*a**2 + x*a + s and give v.\nAnswer: -1007","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 4*l + 12 = l, -2*z + 3*l - 24 = 0. Which is the third biggest value? (a) 3\/2 (b) z (c) -5 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence viwv when four letters picked without replacement from {g: 2, w: 1, v: 2, i: 12, n: 3}?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -52, -93, -158, -253, -384?\n\"Answer: -v**3 - 6*v**2 - 16*v - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - ((-6 - -3) + 0 + 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -6*w**3 - w**2 - 3*w - 2. What is k(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 39892.2 decades in centuries?\nAnswer: 3989.22","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*m + 543080 = 29*m - 115424. What are the prime factors of m?\nAnswer: 2, 7, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 4*g + 8 = -2*u, -57 = -3*u + 3*g. Suppose 148*t + 120 = 150*t. Let r = 109 - t. What is the highest common divisor of u and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/(-21))\/((-7)\/(-210))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of -w**8\/336 - w**5\/5 + 2*w**2. What is the third derivative of b(i) wrt i?\nAnswer: -60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 100002?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 193834764 and 108?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 minus 56617?\nAnswer: -56618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b + b**3 - b + (-b**2 + 8*b**2 - 3*b**2)*(153*b + 10*b - 43*b) to j*b + l + m*b**3 + f*b**2 and give m.\nAnswer: 481","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (((-207)\/345)\/(45\/25))\/((-6)\/(-27))\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -902710 to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1897 is divided by 329?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + (0 - -2) + 9. Let a be (-20)\/(-6)*(-18)\/(-5). Calculate the greatest common divisor of a and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(228)\/(sqrt(192)*1)*1.\nAnswer: -5 + sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-2)\/(-4) - 221\/(-195).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {z: 3, w: 1, a: 4}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204943 is divided by 6403.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1237\/323 - -75\/19. Let n(b) = b**3 + 9*b**2 - 10*b + 3. Let y be n(-10). Determine p so that -6\/17 + 2\/17*p**y + 6\/17*p**2 - d*p = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15? (a) -0.4 (b) -5 (c) 1 (d) -4\/17 (e) -43\/181\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16140105.\nAnswer: 3, 5, 358669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-5 + -5*(sqrt(147) + 1) + sqrt(147) + 6*(1 + sqrt(147)) + sqrt(147)*-1*1))**2.\nAnswer: -1400*sqrt(3) + 4075","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56273 is divided by 14026.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 14*o = -112, 202 - 210 = -3*d + o for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19*s**6 - s**5 + 279*s**4 + 17226*s**2.\nAnswer: 2280*s**3 - 60*s**2 + 6696*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express x**4 + 4*x**4 - 3*x**4 + (-196*x**4 - 251*x**4 + 135*x**4)*(13 + 3 - 6 + 9) as q*x**4 + o*x**2 + w + b*x + j*x**3 and give q.\nAnswer: -5926","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1141\/(-18))\/(-163)*(-2)\/7.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1126 + 3.5194. Let p = -3.630357 + z. What is p rounded to five dps?\nAnswer: 0.00164","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000063359 to 7 dps.\nAnswer: 0.0000063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in thirty-two fifths of a microgram?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 + y - 1. Let o(u) = -3*u**3 + u**2 + 5*u - 7. Let j(z) = 4*z**2 + 5 - 21*z + 17 - 26 + 12 + 11. Let x be j(4). Calculate x*o(v) + 5*t(v).\nAnswer: -2*v**3 - v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**5\/(c**(-3)\/c)*(c*c*c*c**(-4)*c)\/c*c*c**(-4\/5))**(2\/5) assuming c is positive.\nAnswer: c**(82\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 4:28 PM?\nAnswer: 2:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7)\/(-1) - (-1 + -2). Solve -b + 0*b - k = 2*s, -3 = 5*s - 3*b for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 2*d - 5. Suppose -7 = 4*v - 23. Suppose -d = v*l - 29. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 41 + -21. Calculate the least common multiple of 1\/(-3)*(16 - 19) and 3\/(-5) + 232\/x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 + 11. Which is the nearest to -2? (a) u (b) -0.5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33976 and 548.\nAnswer: 548","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -57893343 or -57893347?\nAnswer: -57893343","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -3*g + 8. Let v(y) = y. Let r = -27 - -35. What is the lowest common multiple of v(g) and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -193*k + 193*k + 25*k**2 - 4.\nAnswer: 25*k**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iioxooixoioxi. Give prob of picking 3 x.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -2*r**3 - 2*r**2 + 3*r - 3. Determine g(-3).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 76 = -5*l. Suppose 16*v - 10 = l*v. Solve -v*x = -f - 6 - 18, -5*x = 4*f - 29 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.00432 - -12.01532. What is b rounded to one decimal place?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, 6\/7, 2366?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6, -59, -4\/7?\nAnswer: -59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-5))\/((h**7\/h)\/h))\/(h\/(h**(-2\/17)\/h)*h*h**8) assuming h is positive.\nAnswer: h**(-342\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 525 = -2*y + 5*y, -s = -y - 103. Let r be (-4)\/10 - s\/30. What is the third biggest value in r, 1\/6, 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -43588.8061 - -43576. Let x = j + 12.8. What is x rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(800) - (3 + sqrt(200)\/sqrt(4) + sqrt(50))**2)*2 + -3.\nAnswer: -427 - 80*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18389 is divided by 1405.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*3*4\/(-8). Let m(p) = 5*p**2 + 4*p + 1. Let f(q) = -11*q**2 - 9*q - 2. Let n(d) = 6*f(d) + 13*m(d). What is n(w)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -135 - -123 - 23 - (9 + -5 + -21).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -14. Let y = w + 14. Let t(u) = 7 - y*u**3 + 4*u**3 - u**2 + u**3 + 0. Determine t(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i - 47*i - 120*i - 18*i.\nAnswer: -189*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1721781 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 5*r**2 - 2. Let z be i(-2). Suppose -z = -5*n + 7, 4*n = q + 16. Find the second derivative of 3*w - q*w - 4*w + 3*w**3 wrt w.\nAnswer: 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -3*r**2 + r + 2. Let v = 0 + 4. Let o(u) = -2*u**2 + 1. Calculate v*o(m) - 3*l(m).\nAnswer: m**2 - 3*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6\/7 (b) 38 (c) 4 (d) 0 (e) -0.2 (f) -58\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 8, -4, 1, -66, -13.\nAnswer: -66, -13, -4, -2, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 345 is divided by -52*(55\/(-22) + -1).\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 2332?\nAnswer: 466.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n + 2*a + 31, n + 3*n + 5*a = -35. Let c(v) = 7*v**2 - 3*v + 15 - 8*v**2 - 11. Determine c(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6249 = -2*h + 2*g + 2307, 0 = 2*h + 4*g - 8586. What are the prime factors of h?\nAnswer: 4283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -52*h - 21 + 2517. Suppose 0 = -2*r + r + 378. Let u be r\/9*h\/14. What is the greatest common factor of u and 96?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -4*k + 20. Let f be g(5). Suppose f = -t + 12 + 10. Is t a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 48*u + 82*u - 650. Sort 2\/43, 0, 4\/5, u in ascending order.\nAnswer: 0, 2\/43, 4\/5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -565160*l + 561368.\nAnswer: -565160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 79 - 76. Suppose -6*y - 4 = -2*y. Let l = 4 + y. Solve -3*d = z*a - l, d + 0 - 1 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16367 is divided by 176.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 - 19*w - 30. Calculate f(15).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -454*g + 3592*g = 101363 + 46123 for g.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -5. Suppose 3*i + 7 = j, -4*i = -4*j - i + 1. Let s be j\/(-8)*(-16 + 15). What is the second smallest value in 4, r, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101886231 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -32 - -97?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 499*n - 3567. Calculate j(7).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 3 + -1 + -2 + -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.4 or -409?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s = -9*s - 18. What is the smallest common multiple of 16 and s?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1225 (base 10) to base 9.\nAnswer: -1611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 935 and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5351 - -5350.7. Let m = 19 + -10. What is the third biggest value in b, m, 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.900922312 - 5.700922702. Let f = x + 4.8. What is f rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}