instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Express -105*v + 11*v**4 + 105*v + (-v**2 - v**2 + v**2)*(6*v - v - 2*v)*(-103*v - 24348 + 24348) as o*v**2 + g*v**3 + k + d*v + z*v**4 and give z.\n | 320\n | ibivibiv/math_instruct | |
In base 16, what is 2b1 - 2?\n | 2af\n | ibivibiv/math_instruct | |
Sort -4, -3, -657, 17 in increasing order.\n | -657, -4, -3, 17\n | ibivibiv/math_instruct | |
Let u = -115.53 + 115. Let h = 0.25 + u. Let f = -0.2799855 - h. What is f rounded to six dps?\n | 0.000015\n | ibivibiv/math_instruct | |
Suppose 0 = -z + 3*u - 16, 98*z - 3*u + 14 = 96*z. What is the greatest common divisor of 370 and z?\n | 2\n | ibivibiv/math_instruct | |
Evaluate (-12)/(-80) + 2/8.\n | 2/5\n | ibivibiv/math_instruct | |
In base 8, what is 3 - 3350?\n | -3345\n | ibivibiv/math_instruct | |
Calculate prob of sequence jkj when three letters picked without replacement from {m: 1, q: 1, y: 1, k: 1, a: 1, j: 2}.\n | 1/105\n | ibivibiv/math_instruct | |
Suppose -8*x = 16*x + 24. Let s(h) = h**2 - h + h**3 + 2*h**2 - 2*h**2. Let j(m) = -m**2 + m. What is x*s(c) - j(c)?\n | -c**3\n | ibivibiv/math_instruct | |
Let y = 34 + -24. Calculate the lowest common multiple of 5 and y.\n | 10\n | ibivibiv/math_instruct | |
-3*((2 - 5) + 2)\n | 3\n | ibivibiv/math_instruct | |
b"What is the rth term of 725, 2805, 6273, 11129?\n" | 694*r**2 - 2*r + 33\n | ibivibiv/math_instruct | |
Let q be ((-2)/3)/((980/21)/(-10)). Let o = 60 - 179/3. What is the second smallest value in 15, q, o?\n | o\n | ibivibiv/math_instruct | |
What is the lowest common multiple of ((-240)/(-2))/(2/(-9)*(-27)/45) and 15?\n | 900\n | ibivibiv/math_instruct | |
Let n(f) = -195*f + 557. Let s be n(3). Let t(i) = -4*i - 114. What is t(s)?\n | -2\n | ibivibiv/math_instruct | |
What is the square root of 76375 to the nearest integer?\n | 276\n | ibivibiv/math_instruct | |
Which is the second biggest value? (a) -0.22 (b) 3051 (c) -87\n | a\n | ibivibiv/math_instruct | |
In base 6, what is 1233411410 - -3?\n | 1233411413\n | ibivibiv/math_instruct | |
Collect the terms in -5*i + 16*i**2 + 48 + 2*i - 89 + 41.\n | 16*i**2 - 3*i\n | ibivibiv/math_instruct | |
Let g(r) = -3*r**2 - 41*r. Let w be g(-13). What is the greatest common divisor of 338 and w?\n | 26\n | ibivibiv/math_instruct | |
Collect the terms in 107788*h**2 - 3*h - 108106*h**2 + 3*h.\n | -318*h**2\n | ibivibiv/math_instruct | |
Solve 1315*i - 167*i + 3315 - 66455 = 0 for i.\n | 55\n | ibivibiv/math_instruct | |
Rearrange -v**3 - 9 - 2*v**2 + 10 - 2*v - v**2 + 2*v**2 to o*v + u*v**3 + z*v**2 + m and give m.\n | 1\n | ibivibiv/math_instruct | |
Let x = -5.18 + 5. Let r = x + 0.3. Which is greater: 0.1 or r?\n | r\n | ibivibiv/math_instruct | |
Suppose 2 = -2*p + 4. Let f(b) be the second derivative of b**6/144 + b**5/120 - b**4/12 + b. Let l(j) be the third derivative of f(j). Calculate l(p).\n | 6\n | ibivibiv/math_instruct | |
What is prob of picking 1 j and 3 f when four letters picked without replacement from {f: 9, j: 1, i: 10}?\n | 28/1615\n | ibivibiv/math_instruct | |
Let c = 7284 - 21838/3. What is s in 4/9*s**2 + 20/9 - c*s = 0?\n | 1/2, 10\n | ibivibiv/math_instruct | |
What is the tens digit of 181014227?\n | 2\n | ibivibiv/math_instruct | |
Solve 0 = 4*d + 8, -2 + 4 = -4*c + 3*d for c.\n | -2\n | ibivibiv/math_instruct | |
Round -241020 to the nearest one thousand.\n | -241000\n | ibivibiv/math_instruct | |
What is -10 + (-9 - (-11 + -7)) - 27?\n | -28\n | ibivibiv/math_instruct | |
Let q(c) be the third derivative of 0*c - 1/6*c**3 + c**2 - 11/24*c**4 + 0. What is the tens digit of q(-1)?\n | 1\n | ibivibiv/math_instruct | |
Suppose 5*q = -38*c + 33*c - 375, -5*c + 2*q - 326 = 0. Which is smaller: -71 or c?\n | -71\n | ibivibiv/math_instruct | |
(2/(-96))/((-2)/(-3)*(-103)/(-206))\n | -1/16\n | ibivibiv/math_instruct | |
Let u(b) = 7*b**2 + 4*b - 9. What is the smallest common multiple of u(3) and 12?\n | 132\n | ibivibiv/math_instruct | |
Find the common denominator of -49/8 and 1/73392.\n | 73392\n | ibivibiv/math_instruct | |
What are the prime factors of 3112?\n | 2, 389\n | ibivibiv/math_instruct | |
Let h(x) = 2*x**2 - 86*x + 104. Calculate the common denominator of (-5)/5*(-57)/21 and h(42).\n | 7\n | ibivibiv/math_instruct | |
How many hours are there in 7/2 of a day?\n | 84\n | ibivibiv/math_instruct | |
What is the third biggest value in 1.25, -0.02, 12?\n | -0.02\n | ibivibiv/math_instruct | |
Let g(r) = r - 37. Suppose -36 = 2*h - 24. Let z(n) = 4*n - 134. Let b(p) = h*z(p) + 22*g(p). Let q(v) = 2*v + 11. Let j = -13 - -18. Calculate j*q(w) + 6*b(w).\n | -2*w - 5\n | ibivibiv/math_instruct | |
Two letters picked without replacement from glholoogthoegoo. What is prob of sequence oh?\n | 2/35\n | ibivibiv/math_instruct | |
Let w(q) = -5*q - 18 + 9 + 9. Let o(s) be the first derivative of 2*s**3/3 + 3. Give w(o(l)).\n | -10*l**2\n | ibivibiv/math_instruct | |
What is the fifth biggest value in 1/3, -4, 0.4, -2/7, 0.021838, -2/9, -18?\n | -2/7\n | ibivibiv/math_instruct | |
Is 23859527093 prime?\n | True\n | ibivibiv/math_instruct | |
Product of -0.07 and 25444.607.\n | -1781.12249\n | ibivibiv/math_instruct | |
Solve 1344*c - 63 = 1335*c for c.\n | 7\n | ibivibiv/math_instruct | |
Solve -6*p + 0*b - 2 = 2*b, 3*b = -2*p - 3*b + 5*b for p.\n | -1\n | ibivibiv/math_instruct | |
Is 462 bigger than 471?\n | False\n | ibivibiv/math_instruct | |
Calculate the greatest common divisor of 891396 and 594.\n | 198\n | ibivibiv/math_instruct | |
Let c(j) = -j**3 + 10*j**2 + j + 9. What is the tens digit of c(10)?\n | 1\n | ibivibiv/math_instruct | |
What is 468 minutes after 10:23 AM?\n | 6:11 PM\n | ibivibiv/math_instruct | |
Let t(q) = 9*q + 38. Calculate t(4).\n | 74\n | ibivibiv/math_instruct | |
Suppose -4 = -2*f, 0 = -p - p + 4*f - 10. Let s be 0/(0/(-3) + -1). Suppose 2*v + v + 15 = s. Sort v, -4, p in increasing order.\n | v, -4, p\n | ibivibiv/math_instruct | |
What is -0.2 times -0.32809?\n | 0.065618\n | ibivibiv/math_instruct | |
Solve 17*d - 22*d + 27 = -i, 5 = -d - 5*i for d.\n | 5\n | ibivibiv/math_instruct | |
What is the lowest common multiple of 304 and 824?\n | 31312\n | ibivibiv/math_instruct | |
Put -1, -7, 16, 0, 7068 in descending order.\n | 7068, 16, 0, -1, -7\n | ibivibiv/math_instruct | |
Suppose -25*n - 354 = -8*f - 23*n, -3*f + n + 131 = 0. Calculate the remainder when f is divided by 34.\n | 12\n | ibivibiv/math_instruct | |
Is -1911392 greater than or equal to 3/10?\n | False\n | ibivibiv/math_instruct | |
Suppose 2954 = 13*q + 614. What is the units digit of q?\n | 0\n | ibivibiv/math_instruct | |
Let g be 56 + ((2 + 22)/(-4) - -4). Let n = -14 + 85. Let y = n - g. Does 6 divide y?\n | False\n | ibivibiv/math_instruct | |
Find the second derivative of -11149*d**3*f**3 - d**3*f**2 - d*f**3 - 669*d wrt d.\n | -66894*d*f**3 - 6*d*f**2\n | ibivibiv/math_instruct | |
In base 3, what is -112010000 + -22?\n | -112010022\n | ibivibiv/math_instruct | |
Calculate the greatest common divisor of 1426495 and 5936.\n | 371\n | ibivibiv/math_instruct | |
Which is the closest to 1? (a) 0.3 (b) -0.2 (c) -6/5 (d) -0.1\n | a\n | ibivibiv/math_instruct | |
Let c(w) = -5 + 4500001*w + 0 + 3 + 4. Let u be c(-2). What is u rounded to the nearest one million?\n | -9000000\n | ibivibiv/math_instruct | |
How many minutes are there between 4:56 AM and 9:42 AM?\n | 286\n | ibivibiv/math_instruct | |
Solve -3*u - 4*t + t + 18 = -3*u, 12205*t = -2*u + 12201*t + 18 for u.\n | -3\n | ibivibiv/math_instruct | |
Suppose 18 + 32 = -4*s + 5*q, -5*q = 3*s + 20. Let w be s/12 + (-2)/12. Are -1 and w nonequal?\n | False\n | ibivibiv/math_instruct | |
Collect the terms in 3 - 20*c**2 + 17*c**2 - 3.\n | -3*c**2\n | ibivibiv/math_instruct | |
What is 20 + 11 + -37 - 10?\n | -16\n | ibivibiv/math_instruct | |
What is the highest common factor of 2667610 and 440?\n | 110\n | ibivibiv/math_instruct | |
Let t(n) = 55*n + 229. Determine t(-4).\n | 9\n | ibivibiv/math_instruct | |
Does 19 divide 52136?\n | True\n | ibivibiv/math_instruct | |
Let i(f) = -2*f**2 + 101*f - 189. Let d be i(47). Let o be 3 + (24 + 3 - 2). What is the highest common divisor of o and d?\n | 28\n | ibivibiv/math_instruct | |
What is next in 171377920, 171377923, 171377928, 171377935, 171377944, 171377955?\n | 171377968\n | ibivibiv/math_instruct | |
Each person who attended a company meeting was either a stockholder in the company, an employee of the company, or both. If 62 percent of those who attended the meeting were stockholders and 42 percent were employees, what percent were stockholders who were not employees?
Answer Choices: (A) 34% (B) 58% (C) 45% (D) ... | Let M represent the number of meeting attendees. Then, since 62% of M or 0.62M
were stockholders and 42% of M or 0.42M were employees, it follows that 0.62M +
0.42M = 1.04M were either stockholders, employees, or both. Since 1.04M exceeds
M, the excess 1.04M − M = 0.04M must be the number of attendees who were both
sto... | ibivibiv/math_instruct | |
Solve 2*b - 1 = 3*t, 1508*b - 1513*b = -5*t - 5 for t.\n | 1\n | ibivibiv/math_instruct | |
Let m(i) = 12*i + 10. Let x(d) = 2*d + 2. Let r(b) = b + 1. Let c(f) = -7*r(f) + 3*x(f). Suppose -17*q = -8*q + 198. Determine q*c(l) - 2*m(l).\n | -2*l + 2\n | ibivibiv/math_instruct | |
Suppose 4*u = 156 + 68. Let m = u + -56. Let n be ((-4)/(-1))/4*(0 - m). Let s(i) = -i**3 - i - 27. Give s(n).\n | -27\n | ibivibiv/math_instruct | |
b"What is the gth term of -24, -54, -84?\n" | -30*g + 6\n | ibivibiv/math_instruct | |
Let f(j) = -885*j**2 - 82302*j + 455. What is f(-93)?\n | 176\n | ibivibiv/math_instruct | |
Suppose -4*u + x = -67487, -118*u = -119*u + 3*x + 16880. Is u composite?\n | False\n | ibivibiv/math_instruct | |
Four letters picked without replacement from rpynrvrrrrvv. What is prob of picking 1 y, 1 v, 1 n, and 1 p?\n | 1/165\n | ibivibiv/math_instruct | |
Calculate the highest common divisor of 9183433 and 441.\n | 49\n | ibivibiv/math_instruct | |
Simplify c**(1/10)*c*c**(-14/9)*c*(c**34)**21 assuming c is positive.\n | c**(64309/90)\n | ibivibiv/math_instruct | |
Let b = -8 - 7. Suppose 4*g - 3 - 13 = 0. Let q = g - b. Is q a prime number?\n | True\n | ibivibiv/math_instruct | |
Is 4 a factor of 827?\n | False\n | ibivibiv/math_instruct | |
Simplify (-2*(sqrt(77) + 4*sqrt(77)) + sqrt(77) + sqrt(77) + sqrt(77) + -2*-3*sqrt(77) + sqrt(77))/((-1*sqrt(84))/sqrt(12) - (-2*sqrt(77))/sqrt(11)).\n | 0\n | ibivibiv/math_instruct | |
Let u(t) = -14*t. Let d(z) be the first derivative of 99*z**2/2 - 400. Determine 2*d(g) + 15*u(g).\n | -12*g\n | ibivibiv/math_instruct | |
Sort -819, 4, 45 in descending order.\n | 45, 4, -819\n | ibivibiv/math_instruct | |
Let p(i) = -i**2 + 6 - i - i**3 - 2*i - 5*i**2. What is p(-5)?\n | -4\n | ibivibiv/math_instruct | |
Let o(s) = 87307*s + 0 - s**2 + 0 - 87325*s. Let q(i) = 17*i. What is o(q(l))?\n | -289*l**2 - 306*l\n | ibivibiv/math_instruct | |
Which is the closest to -103? (a) -0.2 (b) -4 (c) -1/7 (d) -2\n | b\n | ibivibiv/math_instruct | |
What is 3/7*-2*35/40?\n | -3/4\n | ibivibiv/math_instruct | |
Collect the terms in g - 4 + 7471*g**2 - 6883*g**2 - 7430*g**2 - 20006*g**2.\n | -26848*g**2 + g - 4\n | ibivibiv/math_instruct | |
What is the second smallest value in -34428, 1/11, -3, -3/61?\n | -3\n | ibivibiv/math_instruct | |
What is 136 to the power of 1/3, to the nearest integer?\n | 5\n | ibivibiv/math_instruct | |
Evaluate 3/(-6) - -1*14/24.\n | 1/12\n | ibivibiv/math_instruct |
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