instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Let i(r) = 30*r**2 - 2*r + 1. Let s(o) = 72*o**2 - 3*o + 1. Let h(g) = -5*i(g) + 2*s(g). Let n(k) = k**3 + 6*k**2 + 5*k + 2. Let f be n(-5). What is h(f)?\n | -19\n | ibivibiv/math_instruct | |
Solve 0 = -3*a - 4*c - 29, -5*a - 2*c - 40 = 3*c for a.\n | -3\n | ibivibiv/math_instruct | |
What is the millions digit of 3180381429?\n | 0\n | ibivibiv/math_instruct | |
Let k = -44092 + 11816629/268. Calculate the common denominator of 77/6 and k.\n | 804\n | ibivibiv/math_instruct | |
Solve -17*k - 97 - 92 = 10*k, 5*l + 469*k + 5 = -2*l + 2*l + 464*k for l.\n | 6\n | ibivibiv/math_instruct | |
Let l be 1 - ((-22)/(-3) - 1). Let k = -14/3 - l. Put k, 0.4, -0.5 in descending order.\n | k, 0.4, -0.5\n | ibivibiv/math_instruct | |
((-9)/(-12))/((-930)/62*(-1)/(-2))\n | -1/10\n | ibivibiv/math_instruct | |
Let x(f) = -63*f + 7*f + 2*f + 55*f. Suppose 21 - 23 = -r. Let b(m) = -3*m - 5 + 0 + 4. What is r*b(d) + 4*x(d)?\n | -2*d - 2\n | ibivibiv/math_instruct | |
Let m(o) = -102*o - 3359. Let z be m(-33). Solve -h = 3*d + 4, 4*h + z = -4*d + 3*h for d.\n | -3\n | ibivibiv/math_instruct | |
Calculate the highest common divisor of 14 and 38.\n | 2\n | ibivibiv/math_instruct | |
Express (-2 - 3 + 1)*(2*m + 2*m - 6*m)*(-1 + 0 + 4) + 78*m + 74*m + 539 - 151*m in the form j + x*m and give x.\n | 25\n | ibivibiv/math_instruct | |
Let f be ((-2)/(-4))/(4/40). Suppose f*k = -o + 6*o - 5, -2*o - 8 = 3*k. Which is the closest to k? (a) -3 (b) -3/5 (c) -1/4\n | a\n | ibivibiv/math_instruct | |
Collect the terms in 163*r**2 - 105*r**2 - 63*r**2.\n | -5*r**2\n | ibivibiv/math_instruct | |
Suppose -3 + 13 = -5*a. What are the prime factors of (2/7)/(a/(-14))?\n | 2\n | ibivibiv/math_instruct | |
Which is the third smallest value? (a) 311 (b) -19 (c) 5\n | a\n | ibivibiv/math_instruct | |
What is the smallest positive integer that can be multiplied by 1,008 to make it a perfect square?
Answer Choices: (A) 2 (B) 3 (C) 5 (D) 7 (E) 11 | Lets reason about the multi-choice question.
1008 = 2^4 x 3^2 x 7.
Therefore the smallest integer to multiplied to 1008 to make it a perfect square is 7.
The answer is D. | ibivibiv/math_instruct | |
Let o(v) = -v**2 - 13*v + 19. Let m be o(-10). Find the second derivative of 48 + h**5 + 35*h**4 - 3*h - 6*h**4 - m wrt h.\n | 20*h**3 + 348*h**2\n | ibivibiv/math_instruct | |
What is the difference between 91126 and -3.0067?\n | 91129.0067\n | ibivibiv/math_instruct | |
Let j = 156660348694.008712232 - 156660349301. Let l = j - -0.990950768. Let k = 606 + l. What is k rounded to 4 dps?\n | -0.0003\n | ibivibiv/math_instruct | |
Let p be (-339)/2 - (-1 - 6/(-4)). Let y = -81 - p. Is y a prime number?\n | True\n | ibivibiv/math_instruct | |
Let m(z) be the second derivative of -3*z**5/140 + z**4/28 + z**3/7 + 38*z + 1. Factor m(k).\n | -3*k*(k - 2)*(k + 1)/7\n | ibivibiv/math_instruct | |
Let f = 2148.935 + -2149. What is the second smallest value in 2/11, -2, f, 0.3, 3/4?\n | f\n | ibivibiv/math_instruct | |
Suppose -37 = 5*o + 3*u + u, 2*o = u - 7. Let q(y) = -y**2 - 3*y - 3. Let f(g) = 5 - g**3 + 4 + g**2 - 5 + 5*g + 1. Give o*q(m) - 3*f(m).\n | 3*m**3 + 2*m**2\n | ibivibiv/math_instruct | |
Let s be (-1 - -3)/(1/7). Let o be ((-12)/s)/(8/(-56)). Is (o/(-15))/((-1)/85) a multiple of 15?\n | False\n | ibivibiv/math_instruct | |
Let q = 29 + -20. Suppose l = -5 + 4. Let i be (10/(-3)*q)/l. What is the highest common factor of 3 and i?\n | 3\n | ibivibiv/math_instruct | |
Suppose -138*x + 142*x = 72. What is the third derivative of -1 - 8*a**3 + x + 12*a**3 + a**2 - 61*a**6 + 64*a**6 wrt a?\n | 360*a**3 + 24\n | ibivibiv/math_instruct | |
Solve 9*v = -371 + 326 for v.\n | -5\n | ibivibiv/math_instruct | |
Simplify (-4 + sqrt(425) + -1 + 1)**2.\n | -40*sqrt(17) + 441\n | ibivibiv/math_instruct | |
Let y be 7/21 + (-40)/(-6). Let i(n) = -n**2 + 5*n + 7. Let h be i(6). Let s = h + y. List the prime factors of s.\n | 2\n | ibivibiv/math_instruct | |
Calculate the common denominator of -37/45345400 and 17/63483560.\n | 317417800\n | ibivibiv/math_instruct | |
Which is the closest to -11? (a) -21/2 (b) -0.4 (c) -0.5\n | a\n | ibivibiv/math_instruct | |
Let v = -203 + 202.999999. Round v to 5 dps.\n | 0\n | ibivibiv/math_instruct | |
What is the ten millions digit of 16558190?\n | 1\n | ibivibiv/math_instruct | |
b"What is the tth term of -2433285, -2433293, -2433301?\n" | -8*t - 2433277\n | ibivibiv/math_instruct | |
What is prob of sequence kkm when three letters picked without replacement from mkbkkokomammjom?\n | 2/91\n | ibivibiv/math_instruct | |
Let o = -1497 - -865. Let c = 637 + o. Solve -5*y - 5 = -c*l, -4*l - 2*y + 18 = -l for l.\n | 4\n | ibivibiv/math_instruct | |
Let m = 49 - 197/4. Let x be 0 - (6/4 + -2). Let l = -0.008 + 0.108. What is the closest to l in m, x, -5?\n | m\n | ibivibiv/math_instruct | |
Let r(x) = -x**2 - 465*x - 13857. Calculate r(-32).\n | -1\n | ibivibiv/math_instruct | |
Does 13 divide 13/2*(-6)/(-3)?\n | True\n | ibivibiv/math_instruct | |
-0.5 times 41646\n | -20823\n | ibivibiv/math_instruct | |
14860802 divided by 69443\n | 214\n | ibivibiv/math_instruct | |
Four letters picked without replacement from {r: 4, b: 3, o: 4, l: 5}. What is prob of sequence olbo?\n | 3/728\n | ibivibiv/math_instruct | |
-10211200 (base 3) to base 8\n | -5357\n | ibivibiv/math_instruct | |
Solve 6*j + 16*l - 15*l = 12, -2*j + 100 = -5*l for j.\n | 5\n | ibivibiv/math_instruct | |
Calculate 0.4*5.56.\n | 2.224\n | ibivibiv/math_instruct | |
Round -1.435 to 1 decimal place.\n | -1.4\n | ibivibiv/math_instruct | |
An operation x is defined by a certain formula for all numbers a and b, and a ≠ 0. If − 1 x ( 1 x − 1 ) = 25, what is the formula for the operation x? | To find the formula for the operation x, we need to work with the given equation:
−1 x (1 x −1) = 25
Let's denote the operation x as a function f(a, b), where a and b are the two numbers involved in the operation. So, we can rewrite the equation as:
f(−1, f(1, −1)) = 25
Now, let's try to find the formula for f(a, b... | ibivibiv/math_instruct | |
Evaluate (-85)/5 - (984/(-48)*-10)/(-5).\n | 24\n | ibivibiv/math_instruct | |
Let c = -6107/15 + 407. Let y = 113 - 118. What is the second biggest value in c, y, 1/11?\n | c\n | ibivibiv/math_instruct | |
Is 267713 a composite number?\n | False\n | ibivibiv/math_instruct | |
5*-89957\n | -449785\n | ibivibiv/math_instruct | |
What is 5476/(-518) + 361336/33852?\n | 4/39\n | ibivibiv/math_instruct | |
Round -99800 to the nearest 10000.\n | -100000\n | ibivibiv/math_instruct | |
Does 7 divide 174986?\n | True\n | ibivibiv/math_instruct | |
Two letters picked without replacement from {e: 2, v: 4, d: 1, m: 1, p: 1, y: 3}. What is prob of picking 1 y and 1 m?\n | 1/22\n | ibivibiv/math_instruct | |
Let j(m) = -3*m**2 - 3*m - 29. Let w(f) = f**2 + f + 10. Calculate 6*j(y) + 17*w(y).\n | -y**2 - y - 4\n | ibivibiv/math_instruct | |
Let h be ((-2)/(-6))/((-3)/(-891) + 0). What is the greatest common divisor of 231 and h?\n | 33\n | ibivibiv/math_instruct | |
Let v(r) = r**3 + 4*r**2 + 7*r - 1. Let h be v(5). Calculate the highest common factor of 37 and h.\n | 37\n | ibivibiv/math_instruct | |
Let q be (-3)/(3/(2 + -5)). Let m be 3/(6 - q) - -1. Solve 2*h = -2*x + 6*h - m, -2*h = -2 for x.\n | 1\n | ibivibiv/math_instruct | |
Let s(w) = -11*w**3 + 6*w**2 + 5. Let u(i) = 12*i**3 - 7*i**2 - 6. Suppose 3*h + 47 = -5*k + 30, -4*k = 2*h + 16. Give h*u(a) + 7*s(a).\n | -5*a**3 - 1\n | ibivibiv/math_instruct | |
In base 16, what is 4 - -7e?\n | 82\n | ibivibiv/math_instruct | |
What is the seventh root of 27997673 to the nearest integer?\n | 12\n | ibivibiv/math_instruct | |
Simplify (o/o**(-1))**(-29)*o**4*o**2*o*((o**9/o)/(o**(-1)*o))**(-21) assuming o is positive.\n | o**(-219)\n | ibivibiv/math_instruct | |
Let m(u) = 2*u + 3. Let n(o) = 4*o + 7. Calculate 5*m(g) - 2*n(g).\n | 2*g + 1\n | ibivibiv/math_instruct | |
Sum -0.2 and -150351.\n | -150351.2\n | ibivibiv/math_instruct | |
(0 - -57) + (887 - 867) + (-11 - -1) + -3\n | 64\n | ibivibiv/math_instruct | |
Put 2, -22, -293, 0, 1 in ascending order.\n | -293, -22, 0, 1, 2\n | ibivibiv/math_instruct | |
Let j = -1 + 0. Let k = -6 + 5.7. Let u = -7/10 + 43/90. What is the closest to j in u, k, 2/7?\n | k\n | ibivibiv/math_instruct | |
Let z = 5002 + -3165. What is the thousands digit of z?\n | 1\n | ibivibiv/math_instruct | |
What is the third smallest value in 2/15, 1.965, 227.02?\n | 227.02\n | ibivibiv/math_instruct | |
Simplify y*y**(6/11)*y*y/(y*y**(-5)*y)*y**(-3)/((y*y*y**(2/9))/y) assuming y is positive.\n | y**(230/99)\n | ibivibiv/math_instruct | |
Sum -1 and 12106806119.\n | 12106806118\n | ibivibiv/math_instruct | |
Evaluate -6 - (-11 + -3 + 8 + -1).\n | 1\n | ibivibiv/math_instruct | |
Sort -5, -3/2, 0.25731, -0.1 in decreasing order.\n | 0.25731, -0.1, -3/2, -5\n | ibivibiv/math_instruct | |
Is 100207 prime?\n | True\n | ibivibiv/math_instruct | |
Let w = -7 - -9. Sort -3, 3, w in ascending order.\n | -3, w, 3\n | ibivibiv/math_instruct | |
What is 1/5 of a milligram in micrograms?\n | 200\n | ibivibiv/math_instruct | |
Collect the terms in 4*f**2 - 16 + 20 + 54.\n | 4*f**2 + 58\n | ibivibiv/math_instruct | |
Calculate (-32)/(-14)*(1980/(-144) - -14).\n | 4/7\n | ibivibiv/math_instruct | |
What is the common denominator of 117/194150 and 109/700?\n | 2718100\n | ibivibiv/math_instruct | |
What comes next: -2305, -19052, -64829, -154252, -301937?\n | -522500\n | ibivibiv/math_instruct | |
Solve 10*t - 82*t + 144 = 0 for t.\n | 2\n | ibivibiv/math_instruct | |
What is the value of (((-42)/56)/((-6)/4))/(-2)?\n | -1/4\n | ibivibiv/math_instruct | |
What is the units digit of 59241346?\n | 6\n | ibivibiv/math_instruct | |
What is x in 2*x**2 - 126480*x + 1999648800 = 0?\n | 31620\n | ibivibiv/math_instruct | |
Calculate the remainder when 128235 is divided by 18317.\n | 16\n | ibivibiv/math_instruct | |
Calculate the remainder when 2122409 is divided by 6471.\n | 6392\n | ibivibiv/math_instruct | |
Suppose -5*i = -7 + 2. Is (69/46)/(((-3)/(-3694))/i) a prime number?\n | True\n | ibivibiv/math_instruct | |
What are the prime factors of 1104318?\n | 2, 3, 19, 3229\n | ibivibiv/math_instruct | |
What is next in 776349, 776355, 776375, 776415, 776481?\n | 776579\n | ibivibiv/math_instruct | |
Let k = -3 - -2.8. Let z = k - -0.1. Let n = z - -0.2. Which is smaller: n or -1?\n | -1\n | ibivibiv/math_instruct | |
Express (-2*d**3 - 3 + 3)*((12 + 2 - 3)*(16*d + 26*d - 14*d) + (5 - 2 - 2)*(2*d + 0*d + 0*d)) in the form s*d**2 + i*d**3 + r*d + c*d**4 + o and give c.\n | -620\n | ibivibiv/math_instruct | |
Let t(p) = -p**2 + 335*p - 7416. What is t(20)?\n | -1116\n | ibivibiv/math_instruct | |
Factor -5*i**3 + 419695915*i**2 + 839391845*i + 419695925.\n | -5*(i - 83939185)*(i + 1)**2\n | ibivibiv/math_instruct | |
Let m = -13 + 20. Suppose -972 = -m*a + 3*a. Suppose 5*t - 165 = 2*t - 5*v, a = 4*t - v. List the prime factors of t.\n | 2, 3, 5\n | ibivibiv/math_instruct | |
List the prime factors of 733204.\n | 2, 183301\n | ibivibiv/math_instruct | |
Let u(s) be the first derivative of -s**4/4 - 2*s**3/3 + s**2/2 - 4*s + 1. Let g be u(-3). Is 11 a factor of 1/(g - 1) - -21?\n | True\n | ibivibiv/math_instruct | |
Let s(i) = i**2 + 20*i + 16. Let z be s(-19). Suppose -5*t + 2*d - 10 = 0, 0 = -4*t - 3*d - 22 - 9. Sort z, 0, t, -17 in ascending order.\n | -17, t, z, 0\n | ibivibiv/math_instruct | |
How many minutes are there between 2:25 PM and 10:01 PM?\n | 456\n | ibivibiv/math_instruct | |
Which is smaller: -1319 or -1311?\n | -1319\n | ibivibiv/math_instruct |
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