instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Let u(x) = 113*x**3 + 5*x**2 - 4. Let p(j) = -170*j**3 - 7*j**2 + 6. Give 5*p(r) + 7*u(r).\n | -59*r**3 + 2\n | ibivibiv/math_instruct | |
What is fourty-two fifths of a litre in millilitres?\n | 8400\n | ibivibiv/math_instruct | |
Is 11 a factor of 201?\n | False\n | ibivibiv/math_instruct | |
Which is the third biggest value? (a) -21/2 (b) 0 (c) 3/4 (d) 3.2\n | b\n | ibivibiv/math_instruct | |
What is 6165541 to the power of 1/2, to the nearest integer?\n | 2483\n | ibivibiv/math_instruct | |
Let d(q) = -q**3 - 141*q**2 - 552*q - 540. Calculate d(-137).\n | 8\n | ibivibiv/math_instruct | |
What is 39.81 rounded to the nearest 10?\n | 40\n | ibivibiv/math_instruct | |
Factor -1935*j + 77874 + 4*j**2 - 117*j + 736449 - 1074*j - j**2.\n | 3*(j - 521)**2\n | ibivibiv/math_instruct | |
What is the result of the following expression?
-49.567 * 10.558 | -523.3284 | ibivibiv/math_instruct | |
What is 597 minutes after 9:02 AM?\n | 6:59 PM\n | ibivibiv/math_instruct | |
Let k = -631/6 - -314/3. Sort k, 0.1, -18.\n | -18, k, 0.1\n | ibivibiv/math_instruct | |
Let b be (-96)/18 + (-6)/9. Let f = 51 + b. Let p = 111 - f. Is p a multiple of 33?\n | True\n | ibivibiv/math_instruct | |
What is next in 2143, 4338, 6533, 8728, 10923, 13118?\n | 15313\n | ibivibiv/math_instruct | |
Collect the terms in -83202188499 + 83202188499 - 13*h**2.\n | -13*h**2\n | ibivibiv/math_instruct | |
What is the greatest common factor of 141522 and 518502?\n | 618\n | ibivibiv/math_instruct | |
Let t(g) = 2*g + 3. Let s be t(3). Let l be (27/(-2))/(s/(-24)). Let k be (-94)/(-8) + 1/4. What is the greatest common divisor of k and l?\n | 12\n | ibivibiv/math_instruct | |
What comes next: -32, -42, -34, -14, 12, 38, 58?\n | 66\n | ibivibiv/math_instruct | |
Sort -2/15, -0.22, 0 in increasing order.\n | -0.22, -2/15, 0\n | ibivibiv/math_instruct | |
Suppose 2*h = -3*s + 1 + 7, 0 = 5*h + 3*s - 11. Let c = -13.4 + 10.4. Let l = 2.022 - -1.978. Put l, h, c in descending order.\n | l, h, c\n | ibivibiv/math_instruct | |
In base 6, what is 5 + -151404?\n | -151355\n | ibivibiv/math_instruct | |
Let c(p) = -3*p - 37. Calculate c(7).\n | -58\n | ibivibiv/math_instruct | |
What is the tens digit of 888?\n | 8\n | ibivibiv/math_instruct | |
Which is the fifth biggest value? (a) -2/3 (b) -38 (c) -13/34 (d) -1/8 (e) 1/5 (f) -41\n | b\n | ibivibiv/math_instruct | |
Factor m**4 + 239*m**3 - 4272*m**2 + 20416*m - 16384.\n | (m - 8)**2*(m - 1)*(m + 256)\n | ibivibiv/math_instruct | |
Let c(p) = -56*p. Let q(f) = 9*f - 10. Let b(n) = -4*n + 2 + 13 - 4 - 7. Let u(o) = -5*b(o) - 2*q(o). Calculate u(c(l)).\n | -112*l\n | ibivibiv/math_instruct | |
Let h(w) = w + 8. Let s(b) be the third derivative of -b**4/12 + 4*b**3/3 + 6*b**2. Let u be s(6). Let d be h(u). What is the greatest common factor of 1 and d?\n | 1\n | ibivibiv/math_instruct | |
Rearrange -200 - 4*w + 338 - 248 to r + n*w and give n.\n | -4\n | ibivibiv/math_instruct | |
What is the units digit of 16370362?\n | 2\n | ibivibiv/math_instruct | |
Let v be 6 + -4*(-3)/(-3). Let z(j) = j**3 - j**2. Let f be z(1). Suppose f = v*a - 0*a. Solve 0 = 4*g - a*g + 12 for g.\n | -3\n | ibivibiv/math_instruct | |
What are the prime factors of 318729633?\n | 3, 29, 3663559\n | ibivibiv/math_instruct | |
Let d = 3 - 2. Let k be (-4 - -3)/((-1)/4). Suppose 5*q = -3*v + 8, k = 3*q + 3*v - v. What is the nearest to d in -3/4, q, -5?\n | -3/4\n | ibivibiv/math_instruct | |
Let x = 46 - 26. Suppose a + x = 5*a. Is 3 a factor of a?\n | False\n | ibivibiv/math_instruct | |
What is the square root of 2092142286 to the nearest integer?\n | 45740\n | ibivibiv/math_instruct | |
Let b = -90 - -229. What is the remainder when b is divided by 35?\n | 34\n | ibivibiv/math_instruct | |
Let q(s) = 2*s**2 + 7*s + 11. Let n(l) = -l + 6. Let g be n(-3). What are the prime factors of q(g)?\n | 2, 59\n | ibivibiv/math_instruct | |
Let t(j) = -7*j**3 + 104*j**2 + 16*j - 12. Give t(15).\n | 3\n | ibivibiv/math_instruct | |
Calculate the lowest common multiple of 6 and 14880.\n | 14880\n | ibivibiv/math_instruct | |
Express (1 - 1 + 2)*(-1 - 3 - 3)*(-6*i**3 - 16*i**4 - 5*i**3 + 9*i**4) in the form w*i**4 + t + y*i + x*i**2 + l*i**3 and give l.\n | 154\n | ibivibiv/math_instruct | |
Which is the nearest to 0.01? (a) 1/3 (b) 0.2 (c) 72 (d) -0.1 (e) -1/4 (f) -214/11\n | d\n | ibivibiv/math_instruct | |
Divide 1407 by 7.\n | 201\n | ibivibiv/math_instruct | |
Suppose 30*y = 48*y - 288. Solve -y = -4*h - 32 for h.\n | -4\n | ibivibiv/math_instruct | |
Suppose -20 = -5*r - 0*r. Let n be (-1)/(((-8)/6)/r). Suppose 4*l + 3*v + 7 = 0, -n*l + 2 = -4*v + 1. Is -1/4 != l?\n | True\n | ibivibiv/math_instruct | |
What is the hundreds digit of 9001?\n | 0\n | ibivibiv/math_instruct | |
c40869 (base 13) to base 10\n | 4571199\n | ibivibiv/math_instruct | |
Let v(i) be the third derivative of i**4/24 + i**3/6 + 6*i**2 + 38*i. Let g(h) = 29*h + 5. What is g(b) - 6*v(b)?\n | 23*b - 1\n | ibivibiv/math_instruct | |
What is the result of the following expression?
(-56.11 - 89.332) + (-23.631 / 61.087) | -145.8288 | ibivibiv/math_instruct | |
(3/3)/((-19)/(-38))\n | 2\n | ibivibiv/math_instruct | |
Let y(a) = -2*a**2 - 4*a + 4. Let h(k) = -4*k**2 - 9*k + 9. Suppose 13*w + 45 = 8*w. Determine w*y(f) + 4*h(f).\n | 2*f**2\n | ibivibiv/math_instruct | |
Four letters picked without replacement from {i: 3, g: 2}. What is prob of picking 3 i and 1 g?\n | 2/5\n | ibivibiv/math_instruct | |
Divide 9 by 9.\n | 1\n | ibivibiv/math_instruct | |
What is the next term in -982, -1966, -2950, -3934, -4918, -5902?\n | -6886\n | ibivibiv/math_instruct | |
b"What is the vth term of 39, 40, 29, 0, -53?\n" | -v**3 + 8*v + 32\n | ibivibiv/math_instruct | |
Let s = 32 + -28.8. Let l = -3.432702073 + 0.232702453. Let d = l + s. Round d to 7 decimal places.\n | 0.0000004\n | ibivibiv/math_instruct | |
Let v(u) = -6213*u**2 - 2016*u. Let p(r) = -2484*r**2 - 806*r. Let t(h) = 12*p(h) - 5*v(h). What is the second derivative of t(j) wrt j?\n | 2514\n | ibivibiv/math_instruct | |
Let m(w) = -16754*w. Let j(g) = g**2. Calculate j(m(z)).\n | 280696516*z**2\n | ibivibiv/math_instruct | |
Expand ((-2 - 3 + 3)*(-f**3 - 2*f**3 + f**3) - 3*f + 3*f - f**3)*(1081 - 13347 - 6189 + 520).\n | -53805*f**3\n | ibivibiv/math_instruct | |
What is prob of picking 2 k and 2 r when four letters picked without replacement from {r: 6, c: 4, k: 9}?\n | 45/323\n | ibivibiv/math_instruct | |
What is 582 divided by 25?\n | 582/25\n | ibivibiv/math_instruct | |
Sort -5, 0.35, 0.3 in decreasing order.\n | 0.35, 0.3, -5\n | ibivibiv/math_instruct | |
Let n be (730/(-10074))/(5/(-6)). What is the second smallest value in -0.007, 2/3, n?\n | n\n | ibivibiv/math_instruct | |
Solve -68*n + 83*n - 3*y + 170 = -85, -n - 2*n + 41 = -19*y for n.\n | -18\n | ibivibiv/math_instruct | |
What is the greatest common factor of 416 and 32?\n | 32\n | ibivibiv/math_instruct | |
Let z = 4 - -4. Let d = -16 - -21. Let u be 92/(-69) - (-2)/(-3). What is the biggest value in d, u, z?\n | z\n | ibivibiv/math_instruct | |
Expand (-1995*n + 1999*n - 33 + 11)*(200*n - 50*n - 102*n).\n | 192*n**2 - 1056*n\n | ibivibiv/math_instruct | |
Let m = -4 - 18. Let p = m - -13. List the prime factors of (-24)/p*(-114)/(-8).\n | 2, 19\n | ibivibiv/math_instruct | |
Suppose 0 = 2*z - 2*l - 18, 5*z + 2*l - 3*l - 57 = 0. What is the remainder when 8/44 - ((-916)/44 + -2) is divided by z?\n | 11\n | ibivibiv/math_instruct | |
What is next in -8790, -17578, -26366, -35154, -43942, -52730?\n | -61518\n | ibivibiv/math_instruct | |
Let x(r) = 2*r**3 - r**2 - r - 3. Let t(z) = -15*z**4 - 6*z**3 - 8*z**2 + 3*z + 1132. Let s(y) = t(y) + 3*x(y). What is the first derivative of s(j) wrt j?\n | -60*j**3 - 22*j\n | ibivibiv/math_instruct | |
Calculate prob of sequence ttfo when four letters picked without replacement from ttootffototott.\n | 5/286\n | ibivibiv/math_instruct | |
Let g(m) = 9*m + 2*m - 12*m + 2*m - m**2 + 14. Give g(0).\n | 14\n | ibivibiv/math_instruct | |
What is the result of the following expression?
11.5863 % -94.4785 | -82.8922 | ibivibiv/math_instruct | |
Solve 5 + 11 = 4*f, 0 = -h + 3*f - 430 + 442 for h.\n | 24\n | ibivibiv/math_instruct | |
Let a(u) be the second derivative of -u**3/2 - 3*u. Let m(i) = i + 117. Let y(w) = -105*w - 17199. Let q(d) = 147*m(d) + y(d). Calculate q(a(h)).\n | -126*h\n | ibivibiv/math_instruct | |
Calculate 22322 + 0.00721868.\n | 22322.00721868\n | ibivibiv/math_instruct | |
Evaluate (3 + 14 - 1) + -8 + 2 + 5.\n | 15\n | ibivibiv/math_instruct | |
Simplify (((sqrt(85)*1*3 - sqrt(85)) + sqrt(85) + sqrt(85))/(sqrt(10)/(-3*sqrt(2) + sqrt(2))))**2.\n | 1088\n | ibivibiv/math_instruct | |
Expand (-2*v - 5*v + 10*v)*(v - v - v).\n | -3*v**2\n | ibivibiv/math_instruct | |
Calculate the remainder when 1166 is divided by 384.\n | 14\n | ibivibiv/math_instruct | |
Simplify n**10/n*n**(2/9)*(n*n/(n/n**(1/4)))**7 assuming n is positive.\n | n**(647/36)\n | ibivibiv/math_instruct | |
Suppose -44*p + 14120 = 5*y, p - 83 = -3*y + 261. Calculate the greatest common factor of 890 and p.\n | 10\n | ibivibiv/math_instruct | |
What are the prime factors of 237369?\n | 3, 11, 7193\n | ibivibiv/math_instruct | |
Let z be 2/(-1 + 9/8). Suppose 10*b = z*b + 420. Let w = b + 129. Is w prime?\n | True\n | ibivibiv/math_instruct | |
In base 12, what is -5bb + 2?\n | -5b9\n | ibivibiv/math_instruct | |
What is prob of sequence pw when two letters picked without replacement from {p: 6, b: 5, g: 2, l: 3, w: 1}?\n | 3/136\n | ibivibiv/math_instruct | |
What is the highest common divisor of 1675 and 667856?\n | 67\n | ibivibiv/math_instruct | |
Convert 63.45758l to millilitres.\n | 63457.58\n | ibivibiv/math_instruct | |
What is 3980956 to the power of 1/6, to the nearest integer?\n | 13\n | ibivibiv/math_instruct | |
b"What is the sth term of -42535, -94515, -146495, -198475, -250455, -302435?\n" | -51980*s + 9445\n | ibivibiv/math_instruct | |
In base 11, what is -a6985 - 44?\n | -a6a19\n | ibivibiv/math_instruct | |
b"What is the fth term of -296, -308, -336, -386, -464?\n" | -f**3 - 2*f**2 + f - 294\n | ibivibiv/math_instruct | |
List the prime factors of 8223554.\n | 2, 181, 22717\n | ibivibiv/math_instruct | |
What is prob of picking 2 x and 1 g when three letters picked without replacement from {u: 1, g: 1, x: 2}?\n | 1/4\n | ibivibiv/math_instruct | |
Let f be (61/2)/(1/2). Suppose 5*c - c + 3*w = f, 0 = 5*c + 3*w - 77. Suppose 2*m - 6 - c = 0. Is m even?\n | False\n | ibivibiv/math_instruct | |
What is -1015209.296 rounded to the nearest one hundred thousand?\n | -1000000\n | ibivibiv/math_instruct | |
b"What is the lth term of -152, -306, -462, -620, -780?\n" | -l**2 - 151*l\n | ibivibiv/math_instruct | |
Calculate the highest common factor of 8 and 137.\n | 1\n | ibivibiv/math_instruct | |
Calculate prob of picking 1 e and 1 m when two letters picked without replacement from {g: 6, e: 6, m: 1, x: 1, y: 1}.\n | 2/35\n | ibivibiv/math_instruct | |
Express 207*r + 78*r + 304*r + (-1 + 2 + 0)*(r + 2 - 2) in the form u*r + c and give u.\n | 590\n | ibivibiv/math_instruct | |
List the prime factors of 4369607.\n | 11, 397237\n | ibivibiv/math_instruct | |
Let f(h) = -1 - 4 - 2*h**2 + 5. Let j(b) = -4*b + 9*b - 9*b. Let s(z) = 9*z. Let l(n) = 5*j(n) + 3*s(n). Calculate f(l(k)).\n | -98*k**2\n | ibivibiv/math_instruct |
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