instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
What are the prime factors of (-76)/(-684) - (26836/(-18) - -1)?\n | 2, 5, 149\n | ibivibiv/math_instruct | |
Let x = 2231 - 2216. Solve 0 = 5*l - 4*g + 45, l - 6*g + 4*g = -x for l.\n | -5\n | ibivibiv/math_instruct | |
Let b be (-3)/((-28)/(-40) - 1). What is the highest common divisor of 5 and b?\n | 5\n | ibivibiv/math_instruct | |
Solve -n - 5 = -0*n for n.\n | -5\n | ibivibiv/math_instruct | |
Let b be 2/6 - (-33)/9. Let a(c) = -2*c**2 - c**3 - b*c + 3*c**2 + 3 - 7*c**2. Give a(-5).\n | -2\n | ibivibiv/math_instruct | |
Let q(t) be the second derivative of 0 + 1/3*t**3 - 4*t + 1/2*t**2. What is q(1)?\n | 3\n | ibivibiv/math_instruct | |
Multiply -0.2 and 0.\n | 0\n | ibivibiv/math_instruct | |
Is 39 a factor of 159169?\n | False\n | ibivibiv/math_instruct | |
352 divided by 11\n | 32\n | ibivibiv/math_instruct | |
What are the prime factors of 2873138703?\n | 3, 17, 56336053\n | ibivibiv/math_instruct | |
Let i be -2 + -1 - -38*1. Let t be i/(-10)*(-1 - 1). Calculate the highest common divisor of t and 21.\n | 7\n | ibivibiv/math_instruct | |
What is 1142.762mm in kilometers?\n | 0.001142762\n | ibivibiv/math_instruct | |
Let s(j) = -79*j - 53. Let g be (28/(-21))/(2 - (-100)/(-45)). Let c(w) = 28*w + 18. Let x(r) = g*s(r) + 17*c(r). What is x(5)?\n | -2\n | ibivibiv/math_instruct | |
Simplify -6*(1*sqrt(77)*2)/sqrt(11).\n | -12*sqrt(7)\n | ibivibiv/math_instruct | |
Calculate the highest common divisor of 39 and 2035007.\n | 13\n | ibivibiv/math_instruct | |
2 + 1 - (-16 - -11)\n | 8\n | ibivibiv/math_instruct | |
What is 1 + -38 - ((17 - (-21 + 23 + -15)) + -16)?\n | -51\n | ibivibiv/math_instruct | |
Let d be 10/4*(-6)/(-15). Suppose -d = 131*h - 132*h. Is ((-3)/(-2))/(h*3/508) composite?\n | True\n | ibivibiv/math_instruct | |
Let g(i) be the third derivative of 0*i + 24*i**2 - 3/100*i**5 - 7/200*i**6 - 1/560*i**8 + 0 - 1/70*i**7 + 0*i**3 + 0*i**4. Solve g(r) = 0.\n | -3, -1, 0\n | ibivibiv/math_instruct | |
Which is the closest to 2/7? (a) -0.8 (b) 14481 (c) -5\n | a\n | ibivibiv/math_instruct | |
Let o(w) = 2*w - 8. Let k be o(4). Suppose -5*b - 3*b + 8 = k. Solve 2*i + b = c, -3*c = -4*i - 7*c + 28 for i.\n | 2\n | ibivibiv/math_instruct | |
Which is bigger: -3897/304 or -14?\n | -3897/304\n | ibivibiv/math_instruct | |
What is prob of picking 1 z and 1 p when two letters picked without replacement from pzzwpzpgpzdz?\n | 10/33\n | ibivibiv/math_instruct | |
Expand (-5*u + 5*u + 2*u)*(-21 + 32 - 16)*(-13 + 0 - 5).\n | 180*u\n | ibivibiv/math_instruct | |
Let d = 30632.9984403 + -30633. Round d to 4 decimal places.\n | -0.0016\n | ibivibiv/math_instruct | |
(7*(-352)/(-1008))/(70/(-315))\n | -11\n | ibivibiv/math_instruct | |
b"What is the cth term of 463, 464, 465, 466, 467?\n" | c + 462\n | ibivibiv/math_instruct | |
Calculate 33*50/(-600)*8*1.\n | -22\n | ibivibiv/math_instruct | |
Multiply -0.22 and -0.023793.\n | 0.00523446\n | ibivibiv/math_instruct | |
Divide 11182 by 61.\n | 11182/61\n | ibivibiv/math_instruct | |
What is -1527435 divided by 305487?\n | -5\n | ibivibiv/math_instruct | |
Suppose -s = -0*r - 2*r + 5, 2*r - 4*s - 20 = 0. Solve -w - 5*w + 12 = r for w.\n | 2\n | ibivibiv/math_instruct | |
Suppose 144 = -8*q + 16*q + q. Solve -117 = -q*r - 37 for r.\n | 5\n | ibivibiv/math_instruct | |
Does 290 divide 83230?\n | True\n | ibivibiv/math_instruct | |
Calculate the highest common factor of 1212 and 17868.\n | 12\n | ibivibiv/math_instruct | |
Let m be (1 + 5)*4/(19 - 7). Suppose 2*q = 4*t + 32, 2*q = 3*q + m*t - 32. Is 12 a factor of q?\n | True\n | ibivibiv/math_instruct | |
Let s(u) be the first derivative of u**2/2 - 18. Let y(t) = -5 - 11*t**2 + 5. Determine s(y(g)).\n | -11*g**2\n | ibivibiv/math_instruct | |
Let d(u) be the second derivative of u**4/12 - 60*u. Let g(j) = -23*j**3 - j**2 - j - 1. Let b be g(-1). Let l(q) = b*q + 5*q**2 - 22*q. Give d(l(p)).\n | 25*p**4\n | ibivibiv/math_instruct | |
Let k be 2/(-6) + (-1)/(-3). Suppose 3 = 4*v + 5*b, 4*v = -k*b + 2*b + 10. Let t(s) = v*s**2 + s**2 - 5*s**2. Let l(i) = -3*i**2. Give l(t(r)).\n | -12*r**4\n | ibivibiv/math_instruct | |
Let b(r) = -220*r**2 + 3090*r + 3151. Calculate b(15).\n | 1\n | ibivibiv/math_instruct | |
Suppose 0 = 23*h - 3 + 26. Which is greater: 1/666 or h?\n | 1/666\n | ibivibiv/math_instruct | |
What is prob of sequence pkyw when four letters picked without replacement from ppkyppwpkkkpp?\n | 7/4290\n | ibivibiv/math_instruct | |
Express (l**2 + 0*l**2 - 3*l**2)*(0*l + l + l) - 226*l**3 + 2*l + 114*l**3 + 19 + 114*l**3 as v*l + q + p*l**3 + m*l**2 and give q.\n | 19\n | ibivibiv/math_instruct | |
Let r be 176/14 + (-15)/(-35). Suppose 0 = -r*n + 9*n + 36. Solve -4*g - n = -1 for g.\n | -2\n | ibivibiv/math_instruct | |
Three letters picked without replacement from bbtbttbbbb. What is prob of sequence bbb?\n | 7/24\n | ibivibiv/math_instruct | |
Let c be (-6)/15 + 404/10. Let k(o) = -2*o**2 + 484*o - 2822. Let i be k(6). Solve c = 6*u + i for u.\n | 5\n | ibivibiv/math_instruct | |
Express (-3*i + 4*i + 0*i)*(-17*i + 2*i - 27*i) + 0*i + 0*i - 2*i**2 - i + 0 - 1 + 2 - i**2 as u*i + k + r*i**2 and give r.\n | -45\n | ibivibiv/math_instruct | |
Let g(v) = 4*v**2 - 2*v - 3. Let x be g(-2). Let o = x + 4. Is o a prime number?\n | False\n | ibivibiv/math_instruct | |
What is the highest common factor of 1875 and 100?\n | 25\n | ibivibiv/math_instruct | |
What is the closest to 2/5 in -1.1, -1/21, 4, 2, -167/3?\n | -1/21\n | ibivibiv/math_instruct | |
Divide -5642739 by 4911.\n | -1149\n | ibivibiv/math_instruct | |
Suppose 199*a = 210*a - 836. What is the greatest common factor of a and 76?\n | 76\n | ibivibiv/math_instruct | |
Rearrange 543*x - 10*x**2 + 6 - 4 + 3 - 542*x + 3*x**4 to g*x**3 + d*x + w + o*x**2 + n*x**4 and give w.\n | 5\n | ibivibiv/math_instruct | |
Suppose 3*i - 4*q = 9, -4*i - 13 = -3*q - 25. Determine d so that 7*d + 3*d**3 + d**3 - 2*d**4 + 8*d**2 - 4*d**3 + 4*d**i - 23*d = 0.\n | -2, 0, 2\n | ibivibiv/math_instruct | |
Find the third derivative of -310838350*p**3 - 242648358*p**2.\n | -1865030100\n | ibivibiv/math_instruct | |
Let k = -586/15 - -39. Let w = k - 2/45. What is the closest to w in 2, -0.1, 3?\n | -0.1\n | ibivibiv/math_instruct | |
Is 30.434 bigger than 22?\n | True\n | ibivibiv/math_instruct | |
Suppose 0 = 3*i - 8*i + 10. Suppose -t = 3*m - 273, 9*m = 4*t + 4*m - 1092. Suppose -j = i*j - t. Is j a composite number?\n | True\n | ibivibiv/math_instruct | |
Suppose 5*a + 46*v - 935840 = 49*v, -5*v + 748709 = 4*a. Is a a prime number?\n | True\n | ibivibiv/math_instruct | |
Determine v so that 42*v**5/5 - 32436*v**4/5 + 1420764*v**3 - 314202096*v**2/5 + 394305786*v/5 - 87175116/5 = 0.\n | 2/7, 1, 57, 357\n | ibivibiv/math_instruct | |
Calculate 236*-11.4.\n | -2690.4\n | ibivibiv/math_instruct | |
Suppose -2 = -x + 128. Let k = x + -116. Let s = k + -7. Solve 2*h - c + s = 0, -h + 25 = -6*h + 5*c for h.\n | -2\n | ibivibiv/math_instruct | |
Let l = -6.9 - -7. Which is the second biggest value? (a) l (b) -0.3 (c) -0.4\n | b\n | ibivibiv/math_instruct | |
Let w(y) be the second derivative of y**4/12 - 7*y**3/6 - 9*y**2/2 - 161*y. Let k = 1 + 7. Let a be w(k). Which is bigger: a or -3/16?\n | -3/16\n | ibivibiv/math_instruct | |
What is the result of the following expression?
40.888 % 11.351 | 6.8350 | ibivibiv/math_instruct | |
Let b(n) = -549*n + 2290. Let s(i) = -20*i**2. Give b(s(t)).\n | 10980*t**2 + 2290\n | ibivibiv/math_instruct | |
Four letters picked without replacement from {n: 2, i: 1, r: 1, k: 2, e: 2}. Give prob of picking 1 n, 2 k, and 1 i.\n | 1/35\n | ibivibiv/math_instruct | |
-4 (base 15) to base 8\n | -4\n | ibivibiv/math_instruct | |
Let q = -16436 + -76564. What is q rounded to the nearest ten thousand?\n | -90000\n | ibivibiv/math_instruct | |
What is the tens digit of 650950?\n | 5\n | ibivibiv/math_instruct | |
What is next in -420, -836, -1256, -1680, -2108?\n | -2540\n | ibivibiv/math_instruct | |
Let q(i) = -12*i - 8. Let a(f) = -f - 1. Determine -40*a(l) + 5*q(l).\n | -20*l\n | ibivibiv/math_instruct | |
Is 50638 a multiple of 37?\n | False\n | ibivibiv/math_instruct | |
Write an educational piece suited for college students related to the following text snippet:
"# How to interpret the Generalized Version of Inclusion-Exclusion Principle
This is a follow-up question on the previous post.
Let's say there are $n$ properties which are numbered $1,\cdots,n$. And let $A$ be a set of elem... | The inclusion-exclusion principle is a fundamental concept in combinatorics, used to count the number of elements in a union of sets while accounting for possible overlaps between them. This principle can be extended to situations involving properties of elements within a set, rather than distinct sets themselves. Her... | ibivibiv/math_instruct | |
What is 979 to the power of 1/7, to the nearest integer?\n | 3\n | ibivibiv/math_instruct | |
Find the second derivative of 39809181*q**5 + q + 7207478 wrt q.\n | 796183620*q**3\n | ibivibiv/math_instruct | |
Let y be 0 - (6/(-3) + 1). Suppose 0 = 5*w - 14 - y. Find the first derivative of -p**4 - p**4 + 0 - w + 5 wrt p.\n | -8*p**3\n | ibivibiv/math_instruct | |
What is the result of the following expression?
(23.0275 / 99.1139) % 14.651 | 0.2323 | ibivibiv/math_instruct | |
Express (0*j - j + 0*j)*(-3 + 5 + 1)*(-j + j - 2*j**2 + (-j + 2*j - 2*j)*(-3*j + 5*j - 3*j))*(-3 - 1 + 3) in the form u*j**3 + q + b*j**2 + h*j and give u.\n | -3\n | ibivibiv/math_instruct | |
Calculate the remainder when 484 is divided by 81.\n | 79\n | ibivibiv/math_instruct | |
Simplify ((q**(-1))**(-29))**35 assuming q is positive.\n | q**1015\n | ibivibiv/math_instruct | |
Let u(v) = -v**2 + 127*v - 627. Give u(5).\n | -17\n | ibivibiv/math_instruct | |
Suppose 0 = -y - 4*y + 40. Let o = y + -3. Calculate the lowest common multiple of 9 and o.\n | 45\n | ibivibiv/math_instruct | |
Write an educational piece suited for college students related to the following text snippet:
"# 7.4: Dot Product and Angle Between Two Vectors
While two vectors cannot be strictly multiplied like numbers can, there are two different ways to find the product between two vectors. The cross product between two vectors ... | The dot product, also known as the inner product or scalar product, is a mathematical operation that takes two vectors and returns a single scalar value. It provides a measure of how similar or aligned the two vectors are in their respective directions, indicating "how much of one vector goes in the direction of the o... | ibivibiv/math_instruct | |
b"What is the pth term of 569, 1131, 1705, 2297, 2913, 3559?\n" | p**3 + 555*p + 13\n | ibivibiv/math_instruct | |
Collect the terms in -1574*y + 209922 + 1575*y + 187169.\n | y + 397091\n | ibivibiv/math_instruct | |
Convert 4.726902 decades to millennia.\n | 0.04726902\n | ibivibiv/math_instruct | |
Let k(c) = c**2 - 18*c - 161. Calculate k(-7).\n | 14\n | ibivibiv/math_instruct | |
Simplify (sqrt(2) - (sqrt(128) + 0 - sqrt(128)))**2 - (sqrt(72) + -1)**2.\n | -71 + 12*sqrt(2)\n | ibivibiv/math_instruct | |
Let m(s) be the second derivative of 1/6*s**6 + 0*s**3 + 0*s**2 + 5/4*s**5 + 5/2*s**4 - 1 - 25*s. Factor m(c).\n | 5*c**2*(c + 2)*(c + 3)\n | ibivibiv/math_instruct | |
Calculate prob of picking 1 j and 1 m when two letters picked without replacement from {j: 2, a: 1, z: 7, w: 2, m: 2, u: 1}.\n | 4/105\n | ibivibiv/math_instruct | |
Solve -t = -37*u + 40, 2*t - 222 = -4*u - 224 for t.\n | -3\n | ibivibiv/math_instruct | |
Convert 7.044154 millennia to months.\n | 84529.848\n | ibivibiv/math_instruct | |
Suppose -l - 68 = -8. Let o be 365/75 - 8/l. Solve -o*z = 3*d + 2 + 3, -4*z + 18 = -2*d for z.\n | 2\n | ibivibiv/math_instruct | |
Simplify (1 + sqrt(300))**2 + -5.\n | 20*sqrt(3) + 296\n | ibivibiv/math_instruct | |
Let d = 106 + -108. Let y be 4 + -2 - (-1250)/16. Let j = y - 80. Which is the second biggest value? (a) j (b) d (c) 0.09\n | c\n | ibivibiv/math_instruct | |
Suppose 11 = 4*i - 17. Suppose 14 = 2*k + 5*y, k - i = -0*k - y. What is the units digit of k?\n | 7\n | ibivibiv/math_instruct | |
289*(-102)/(-427431) - 4644/58\n | -80\n | ibivibiv/math_instruct | |
Let l = 1.521 - 1.721. Which is the closest to 3/2? (a) -4 (b) 10 (c) l (d) -5\n | c\n | ibivibiv/math_instruct | |
Evaluate 12/(-18)*(-9)/15.\n | 2/5\n | ibivibiv/math_instruct |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.