instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Add together 0.5 and 206246884.26.\n | 206246884.76\n | ibivibiv/math_instruct | |
Let m be (30/(-4))/(54/144). Let i(o) = o**2 + 15*o - 41. What is the tens digit of i(m)?\n | 5\n | ibivibiv/math_instruct | |
Let a = 0.233 + -0.733. Sort a, 2/5, -32, -5 in decreasing order.\n | 2/5, a, -5, -32\n | ibivibiv/math_instruct | |
Let j = 71 - 144. Let r = j - -73. Solve 3*u + r - 12 = 0 for u.\n | 4\n | ibivibiv/math_instruct | |
Suppose -2*v - 4*d + 368 = 0, 4*v - 3*d = -2*d + 700. Let h be (-3 + 119/35)/((-2)/(-110)). Calculate the highest common factor of h and v.\n | 22\n | ibivibiv/math_instruct | |
Suppose -416196 = 5*n + o, 975*n - 978*n - 5*o = 249700. What is n rounded to the nearest 1000?\n | -83000\n | ibivibiv/math_instruct | |
What is the tens digit of 4066426666?\n | 6\n | ibivibiv/math_instruct | |
Solve -r = 29 - 31 for r.\n | 2\n | ibivibiv/math_instruct | |
Solve -12 + 8 = 3*w + w for w.\n | -1\n | ibivibiv/math_instruct | |
Rearrange -698*w - 2581*w - 6934*w to the form t + v*w and give v.\n | -10213\n | ibivibiv/math_instruct | |
Is 313429645 prime?\n | False\n | ibivibiv/math_instruct | |
Which is the closest to -0.1? (a) 0 (b) 34 (c) 2/15 (d) -70\n | a\n | ibivibiv/math_instruct | |
Let s = 12 - 6. Suppose 0 = -j + 2*j - s. Let n(w) = w**2 - 3*w - 6. Let m be n(j). Solve -m = -3*l + 3 for l.\n | 5\n | ibivibiv/math_instruct | |
Let x(a) = -a**3 + a. Suppose k - 9 + 2 = -2*t, 0 = 2*k - t + 1. Let g(u) = -6*u**3 - 3*u**2 + 2*u. Determine k*g(p) - 2*x(p).\n | -4*p**3 - 3*p**2\n | ibivibiv/math_instruct | |
Put 2, 15, 0, -4 in decreasing order.\n | 15, 2, 0, -4\n | ibivibiv/math_instruct | |
Suppose 0 = 7*n - 17*n. Solve -y - 3*y - 12 = n for y.\n | -3\n | ibivibiv/math_instruct | |
What is the tens digit of (-1)/9 + (-218)/(-18)?\n | 1\n | ibivibiv/math_instruct | |
Let k be (2/(-15))/((-3)/18). Let r = -2.0194 + 0.0194. Which is the second smallest value? (a) 5 (b) k (c) r (d) 0.3\n | d\n | ibivibiv/math_instruct | |
Let u = 32 + -28. Suppose -u*h = 2*a - 50, h - 10 = -2*h + 4*a. Calculate the common denominator of (322/21)/(h/(-6)) and -23/9.\n | 45\n | ibivibiv/math_instruct | |
What is 1132.889 litres in millilitres?\n | 1132889\n | ibivibiv/math_instruct | |
Let z(s) be the third derivative of -s**5/20 + 5*s**4/24 - 30*s**2. Let w(v) = 4 - 4 + 6*v - 7*v. What is 5*w(r) + z(r)?\n | -3*r**2\n | ibivibiv/math_instruct | |
What is the third smallest value in 0.099, -19, -2/3?\n | 0.099\n | ibivibiv/math_instruct | |
Suppose -859*y = -866*y + 30940. Is 68 a factor of y?\n | True\n | ibivibiv/math_instruct | |
Which is greater: -11/1545 or -1?\n | -11/1545\n | ibivibiv/math_instruct | |
What is the fifth smallest value in 1/3, -1/5, 4/9, 1/16, 826, 2/9, 0.3?\n | 1/3\n | ibivibiv/math_instruct | |
Suppose -6*l - 4 = -2*l, -v + 141 = -4*l. Let r = -1369/10 + v. Suppose 0 = -b + 5*b + 4. Is b >= r?\n | False\n | ibivibiv/math_instruct | |
Calculate prob of sequence vqqv when four letters picked without replacement from {w: 8, v: 2, q: 4}.\n | 1/1001\n | ibivibiv/math_instruct | |
Let h = -174 - -306. Is h a multiple of 22?\n | True\n | ibivibiv/math_instruct | |
Round 313783.4 to the nearest one hundred.\n | 313800\n | ibivibiv/math_instruct | |
What is the product of -33389 and 0.1?\n | -3338.9\n | ibivibiv/math_instruct | |
Suppose 12*p - 10 = 7*p. Let i(r) = 8*r + 3. Let c(z) = 4*z + 1. Give p*i(a) - 5*c(a).\n | -4*a + 1\n | ibivibiv/math_instruct | |
Solve 0 = -5*x + 2*f + 59, 3*f = 7340*x - 7335*x - 56 for x.\n | 13\n | ibivibiv/math_instruct | |
Calculate the remainder when 57 is divided by -3 + (2 - 0) + 21.\n | 17\n | ibivibiv/math_instruct | |
Let o(w) = w. Let m(v) = -3*v. Let t(b) = -2*m(b) - 5*o(b). Let h = 4028 + -4025. Let p(r) = -3*r. What is h*t(s) - p(s)?\n | 6*s\n | ibivibiv/math_instruct | |
96866.43+-13.548\n | 96852.882\n | ibivibiv/math_instruct | |
Calculate -229 + 529 - 256 - (2 - -10).\n | 32\n | ibivibiv/math_instruct | |
What is the highest common factor of 116 and 73004?\n | 4\n | ibivibiv/math_instruct | |
What is 11 - 27 - -2 - -15?\n | 1\n | ibivibiv/math_instruct | |
Suppose 22*b + 94 = -92*b + 322. Let l(q) = -111*q + 225. What is l(b)?\n | 3\n | ibivibiv/math_instruct | |
Suppose -4*f + 0*f = 0, 3*a + 4*f - 156 = 0. What is the greatest common divisor of a and 52?\n | 52\n | ibivibiv/math_instruct | |
Let z(y) = -y**3 - 5*y**2 + 6*y - 8. Let s be z(-6). Suppose -9 + 49 = 2*j. Let v = s + j. What are the prime factors of v?\n | 2, 3\n | ibivibiv/math_instruct | |
What is next in 14, 163, 446, 863, 1414, 2099, 2918?\n | 3871\n | ibivibiv/math_instruct | |
Let w = -31 - -40. Suppose -o = 5 - w. What is the second derivative of z**2 - 6*z + o*z - 5*z**2 - 11*z wrt z?\n | -8\n | ibivibiv/math_instruct | |
How many millilitres are there in 1/5 of a litre?\n | 200\n | ibivibiv/math_instruct | |
What is 5 times -0.324414?\n | -1.62207\n | ibivibiv/math_instruct | |
Let f = 413 - 247. List the prime factors of f.\n | 2, 83\n | ibivibiv/math_instruct | |
Does 16 divide 10/(-4) - (-4)/(104/1053)?\n | False\n | ibivibiv/math_instruct | |
Calculate the remainder when 490160 is divided by 27231.\n | 2\n | ibivibiv/math_instruct | |
Put -1266, 4, 0, 3, 21 in decreasing order.\n | 21, 4, 3, 0, -1266\n | ibivibiv/math_instruct | |
Calculate prob of sequence zhch when four letters picked without replacement from fdcjfjhjzhczccz.\n | 1/1365\n | ibivibiv/math_instruct | |
In base 9, what is -4 - -41864?\n | 41860\n | ibivibiv/math_instruct | |
What is the result of the following expression?
(-48.2232 + -20.7636) / 24.1229 | -2.8598 | ibivibiv/math_instruct | |
Simplify (sqrt(605) + 1 + -3 + 5 + 4 + 5*(6*(sqrt(605) + -1) + 4))**2.\n | -2046*sqrt(5) + 581414\n | ibivibiv/math_instruct | |
Let n = -219.9851 + 220. Let x = 66.1851 + n. What is x rounded to the nearest ten?\n | 70\n | ibivibiv/math_instruct | |
Factor 2*q**3/23 + 3276*q**2/23 + 58752*q + 7990272/23.\n | 2*(q + 6)*(q + 816)**2/23\n | ibivibiv/math_instruct | |
What is 55 divided by 6?\n | 55/6\n | ibivibiv/math_instruct | |
Let w = 132 + -131.8. Put w, 242/3, -0.3, -1/6, -1 in ascending order.\n | -1, -0.3, -1/6, w, 242/3\n | ibivibiv/math_instruct | |
How many hours are there in one quarter of a day?\n | 6\n | ibivibiv/math_instruct | |
What is 141 minutes before 3:38 AM?\n | 1:17 AM\n | ibivibiv/math_instruct | |
Let s(n) = -2*n**3 - 203*n**2 - 493*n + 196. Calculate s(-99).\n | -2\n | ibivibiv/math_instruct | |
Product of -55 and 63606.31.\n | -3498347.05\n | ibivibiv/math_instruct | |
What is prob of sequence uur when three letters picked without replacement from uurrrrudrdrudfd?\n | 12/455\n | ibivibiv/math_instruct | |
Let j(y) = -y**2 - y + 30. Let k = 428 + -434. Let d be j(k). Solve 8*u - 13*u - 10 = d for u.\n | -2\n | ibivibiv/math_instruct | |
Let w(k) = -3*k + 9. Let y(a) = -7*a - 47. Let l(z) = 18*z + 123. Let t(o) = 5*l(o) + 13*y(o). Determine 13*t(b) - 6*w(b).\n | 5*b - 2\n | ibivibiv/math_instruct | |
Let t(i) be the second derivative of i**4/24 + 2*i**3/3 + 219*i**2/2 - 78*i - 1. Let c(w) be the first derivative of t(w). Calculate c(-8).\n | -4\n | ibivibiv/math_instruct | |
Suppose 0 = 3*u + 9 - 24. Solve -u*k + 22 = 2 for k.\n | 4\n | ibivibiv/math_instruct | |
What are the prime factors of 20 - (-1069178 + 8)/15?\n | 2, 3, 17, 233\n | ibivibiv/math_instruct | |
What is 0.0344202 rounded to three decimal places?\n | 0.034\n | ibivibiv/math_instruct | |
Suppose 18 = 3*y - 2*g, 0 = y - 4*g - 1 - 5. Calculate the least common multiple of 2 and y.\n | 6\n | ibivibiv/math_instruct | |
Suppose 77*b - 78*b = -5*z + 146, 5*b - 82 = -3*z. Solve 3*y - 192 = -z*y for y.\n | 6\n | ibivibiv/math_instruct | |
Put 6386, 3, 5, 0, 2 in increasing order.\n | 0, 2, 3, 5, 6386\n | ibivibiv/math_instruct | |
What is the fourth smallest value in -4, 2, -2/75, 37205?\n | 37205\n | ibivibiv/math_instruct | |
Let m(r) = r**3 - 17*r**2 + 16*r + 119. Determine m(-3).\n | -109\n | ibivibiv/math_instruct | |
In base 15, what is -7 - -40d?\n | 406\n | ibivibiv/math_instruct | |
Let p be 34*30/16 + (-1)/(-4). Suppose -40*j + 544 = p. Solve j*v = 17*v for v.\n | 0\n | ibivibiv/math_instruct | |
Simplify ((sqrt(105) - ((-1*sqrt(105) + sqrt(105))*1 - sqrt(105)))/(-6*sqrt(48)))/((sqrt(6300)*2 - sqrt(6300))/sqrt(9)*3).\n | -sqrt(5)/360\n | ibivibiv/math_instruct | |
In base 8, what is 11 - -27?\n | 40\n | ibivibiv/math_instruct | |
Expand (-30836*y + 5 + 15458*y + 14216*y)*(3*y - y + 0*y).\n | -2324*y**2 + 10*y\n | ibivibiv/math_instruct | |
What is -204 times 0?\n | 0\n | ibivibiv/math_instruct | |
Let f = -1475.79 + 1467. Let d = f - -9. Put 1/12, 3, d in descending order.\n | 3, d, 1/12\n | ibivibiv/math_instruct | |
Collect the terms in -9 - 18 + 33 - 2*u.\n | -2*u + 6\n | ibivibiv/math_instruct | |
What is 1156400 rounded to the nearest ten thousand?\n | 1160000\n | ibivibiv/math_instruct | |
Convert c63 (base 16) to base 12.\n | 1a03\n | ibivibiv/math_instruct | |
Let x(v) = 7*v**2 - 4844*v - 654. Let u(p) = p. Give x(u(r)).\n | 7*r**2 - 4844*r - 654\n | ibivibiv/math_instruct | |
Is 11 a factor of ((-35)/7 + -149)*-4?\n | True\n | ibivibiv/math_instruct | |
Does 10 divide 518773180?\n | True\n | ibivibiv/math_instruct | |
Suppose d - 5 = -3. Suppose d*n = -5*n + 63. What is the remainder when 15/(-4)*(-60)/9 is divided by n?\n | 7\n | ibivibiv/math_instruct | |
List the prime factors of 1809089900.\n | 2, 5, 18090899\n | ibivibiv/math_instruct | |
Calculate the remainder when 2839 is divided by 49.\n | 46\n | ibivibiv/math_instruct | |
Sort -2, -1140, -4.\n | -1140, -4, -2\n | ibivibiv/math_instruct | |
Let p(s) = -s**3 - 35*s**2 - 50*s - 101. What is the units digit of p(-34)?\n | 3\n | ibivibiv/math_instruct | |
Expand o**3 + o**3 - 4*o**3 + (3*o - o**2 - 3*o)*(-1 - o + 1) - 3*o**3 + 3*o**3 - 2*o**3 + (2*o**2 + o**2 - 5*o**2)*(-5 + o + 5) - o**3 + 0*o**3 + 4*o**3.\n | -2*o**3\n | ibivibiv/math_instruct | |
Suppose -t + 0*t + 1 = 0. Let x = 1108 + -23264/21. Which is bigger: x or t?\n | t\n | ibivibiv/math_instruct | |
Suppose -3*o + 5*o = -2*o. Suppose o = -2*p + 5*p. Suppose 2*f = -2*d + 14, 0*f - f = -d - 3. Solve p = -3*k - y + 5, -d*k - 2*y = k - 4 for k.\n | 2\n | ibivibiv/math_instruct | |
Write an educational piece suited for college students related to the following text snippet:
"# Even Order Group has Order 2 Element/Proof 2
## Theorem
Let $G$ be a group whose identity is $e$.
Let $G$ be of even order.
Then:
$\exists x \in G: \order x = 2$
That is:
$\exists x \in G: x \ne e: x^2 = e$
## Proof... | We will begin by defining some key terms that appear in the theorem and proof above. A group, denoted $G$, is a set equipped with an operation (often called multiplication) that combines any two elements from the set to produce another element also in the set, subject to certain conditions. The identity element, denot... | ibivibiv/math_instruct | |
Suppose 53 = s - 5*l + 4*l, -4*s + 210 = -5*l. Suppose -s*c = -57*c + 2. Sort c, 0, 10 in descending order.\n | 10, c, 0\n | ibivibiv/math_instruct | |
Write an educational piece suited for college students related to the following text snippet:
"# Integral of sin^11x
1. Nov 17, 2008
### cango91
1. The problem statement, all variables and given/known data
$$\int sin^{11}x.dx$$
2. Relevant equations
3. The attempt at a solution
$$\int (sin^{2}x)^{5}.sinx.dx$$
$$\i... | The integral of sin^11x is a challenging problem that requires a solid understanding of calculus techniques. In this discussion, user "cangon91" shares their approach to solving the problem, which involves using the power reduction formula for sine and then making a substitution. However, they become stuck after reach... | ibivibiv/math_instruct | |
Which is the third biggest value? (a) -16 (b) 0.3 (c) 2/13 (d) -4\n | d\n | ibivibiv/math_instruct | |
What is u in 5109*u**4 + 15325*u**3 - 30660*u**2 - 40860*u + 16 = 0?\n | -4, -1, 2/5109, 2\n | ibivibiv/math_instruct | |
What comes next: 1194, 2596, 4942, 8238, 12490?\n | 17704\n | ibivibiv/math_instruct |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.