instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Let i be (11 - 99/22)*2*-1. Let a be (-8)/(-4)*i/13. What is the closest to -0.3 in a, 9, -5?\n | a\n | ibivibiv/math_instruct | |
What is the third derivative of -1314*a*z**3 + 409352794*a*z**2 + 4848*z**3 wrt z?\n | -7884*a + 29088\n | ibivibiv/math_instruct | |
Simplify ((((x/(x**(-1)*x))/x)/x)**(1/13))**22/(x**1*x/(x*x*x**(-4/5)))**(2/29) assuming x is positive.\n | x**(-3294/1885)\n | ibivibiv/math_instruct | |
Does 82 divide 1640?\n | True\n | ibivibiv/math_instruct | |
Let c(t) = t**2 - 14*t + 1501. Is c(0) composite?\n | True\n | ibivibiv/math_instruct | |
Calculate the greatest common factor of 1337027475 and 105.\n | 105\n | ibivibiv/math_instruct | |
Suppose -2*n = 2, 4*m - 2*n - 2*n = 16. Suppose -m*c + 7*c - 704 = 0. Suppose -w = 3*w - c. What are the prime factors of w?\n | 2, 11\n | ibivibiv/math_instruct | |
Simplify ((y/(y*y*y/y**(-2/31)*y*y)*y)**33*y/(y*y/((y/((y**(-15)/y)/y))/y))*y/(y*y**(-20)*y)*y)**21 assuming y is positive.\n | y**(-42399/31)\n | ibivibiv/math_instruct | |
If a and b are positive integers and (2 ^ a) ^ b = 2 ^ 2, what is the value of 2 ^ b if 2 ^ a * 2 ^ b = 8? | Let's solve the first equation:
(2^a)^b = 2^2
This simplifies to:
2^(a*b) = 2^2
Since the bases are the same, we can equate the exponents:
a*b = 2
Now let's solve the second equation:
2^a * 2^b = 8
We know that 8 is 2^3, so we can rewrite the equation as:
2^a * 2^b = 2^3
Using the property of exponents that s... | ibivibiv/math_instruct | |
What is 526 take away 27406793?\n | -27406267\n | ibivibiv/math_instruct | |
Does -39 = -192/5?\n | False\n | ibivibiv/math_instruct | |
Let d = -213 + 139. Let r = d + 75. Put -10, -1, r in descending order.\n | r, -1, -10\n | ibivibiv/math_instruct | |
Rearrange (4*k - k - k)*(-7*k**2 - 98 + 99 + 6*k**2) to j*k + l*k**2 + n*k**3 + i and give n.\n | -2\n | ibivibiv/math_instruct | |
Simplify 5*(5 + (2 + (sqrt(66) - (sqrt(66) + (sqrt(66)*5 + sqrt(66) - sqrt(66))*-6))/(sqrt(36)/sqrt(384) - sqrt(6)) + 5)**2).\n | -2400*sqrt(11) + 3181230/49\n | ibivibiv/math_instruct | |
Solve 2*f - g = -24, 5*f - 27843 = -5*g - 27888 for f.\n | -11\n | ibivibiv/math_instruct | |
Express -357*z**2 + 10*z - 2 + 722*z**2 - 364*z**2 as h*z**2 + m + a*z and give m.\n | -2\n | ibivibiv/math_instruct | |
Factor -2/7*z**2 - 35912/7 + 536/7*z.\n | -2*(z - 134)**2/7\n | ibivibiv/math_instruct | |
Let f = 39 + -45.4. Let v = -3.4 - f. What is the fourth smallest value in v, -5, 4, -0.5?\n | 4\n | ibivibiv/math_instruct | |
Let m(n) = 87*n. Let h(z) = -116588*z**2. Determine m(h(o)).\n | -10143156*o**2\n | ibivibiv/math_instruct | |
Sort 6, 0, -406, -3, -24 in increasing order.\n | -406, -24, -3, 0, 6\n | ibivibiv/math_instruct | |
Let o(g) = 13*g - 16. What is o(4)?\n | 36\n | ibivibiv/math_instruct | |
Suppose -5*c + 2*m - 17 = 5*m, -c - 5*m + 1 = 0. Does 5 divide (-2)/c - (-9)/2?\n | True\n | ibivibiv/math_instruct | |
Calculate -4071 divided by -7503.\n | 1357/2501\n | ibivibiv/math_instruct | |
What is 557 minutes after 11:15 AM?\n | 8:32 PM\n | ibivibiv/math_instruct | |
What are the prime factors of 955104280?\n | 2, 5, 13, 233, 7883\n | ibivibiv/math_instruct | |
Let y(u) = 3*u**2 + 74*u + 441. What is y(-13)?\n | -14\n | ibivibiv/math_instruct | |
Let b(c) = -c**2 - 8*c - 1. Give b(-7).\n | 6\n | ibivibiv/math_instruct | |
What is the hundreds digit of 1006?\n | 0\n | ibivibiv/math_instruct | |
What is 953 to the power of 1/2, to the nearest integer?\n | 31\n | ibivibiv/math_instruct | |
Suppose 5 = f - 6*f - 5*t, f + 2*t + 2 = 0. Solve 0*l - l + 4*s - 20 = 0, f = 3*l - 2*s + 10 for l.\n | 0\n | ibivibiv/math_instruct | |
List the prime factors of 69589936.\n | 2, 13, 157, 2131\n | ibivibiv/math_instruct | |
Evaluate (3/6)/((-23)/(-230)).\n | 5\n | ibivibiv/math_instruct | |
Is 461313 a multiple of 8?\n | False\n | ibivibiv/math_instruct | |
Calculate the highest common divisor of 82 and 2.\n | 2\n | ibivibiv/math_instruct | |
Calculate 1 + 3 + (-2 - 0 - 1).\n | 1\n | ibivibiv/math_instruct | |
What is the units digit of (9 + -6)/12*1108?\n | 7\n | ibivibiv/math_instruct | |
Is 41885 a composite number?\n | True\n | ibivibiv/math_instruct | |
Is 22597847617 composite?\n | False\n | ibivibiv/math_instruct | |
What is fifty-three quarters of a kilometer in meters?\n | 13250\n | ibivibiv/math_instruct | |
Let v = -1406 + 1405. What is the closest to 0.06 in -5, v, -0.5, 1?\n | -0.5\n | ibivibiv/math_instruct | |
Which is the nearest to -4/9? (a) 19 (b) 3 (c) -23/11\n | c\n | ibivibiv/math_instruct | |
Let r(z) = -3*z - 9 + 6 + 0. Let u(q) = 2. Let n(h) = 1. Let d(b) = -5*n(b) + 3*u(b). Determine -3*d(j) - r(j).\n | 3*j\n | ibivibiv/math_instruct | |
Simplify (n**8*n**(-23))/(n**(4/3))**(2/9) assuming n is positive.\n | n**(-413/27)\n | ibivibiv/math_instruct | |
In base 14, what is -7 + -6?\n | -d\n | ibivibiv/math_instruct | |
What is 40219 to the power of 1/8, to the nearest integer?\n | 4\n | ibivibiv/math_instruct | |
Simplify ((x/(x/(x**(2/3)*x*x)))**23)**(-12/5) assuming x is positive.\n | x**(-736/5)\n | ibivibiv/math_instruct | |
What comes next: 2272, 2285, 2298?\n | 2311\n | ibivibiv/math_instruct | |
What is the thousands digit of 55239?\n | 5\n | ibivibiv/math_instruct | |
Is 61188391 composite?\n | True\n | ibivibiv/math_instruct | |
What is the second derivative of 198682*g**2*k**3 - 1121*g*k - 7*g + k**3 - 2 wrt g?\n | 397364*k**3\n | ibivibiv/math_instruct | |
Solve 253*t + 8 = 251*t for t.\n | -4\n | ibivibiv/math_instruct | |
Let c = -7 - -15. Suppose -3*f = 4*n - 110, 194 = 5*f + 12*n - 16*n. What is the remainder when f is divided by c?\n | 6\n | ibivibiv/math_instruct | |
Let p(u) = -2*u**2 - 2*u - 2. Suppose 0 = 2*w + 4*a + 10, 2*w + 3*w - 19 = a. Let v = -5 + w. Give p(v).\n | -6\n | ibivibiv/math_instruct | |
Solve -91*g + 653 + 188 + 160 = 0 for g.\n | 11\n | ibivibiv/math_instruct | |
In base 11, what is -12843060 + 26?\n | -12843035\n | ibivibiv/math_instruct | |
Suppose 0 = 4*i - 4 - 0. Suppose -5*a + 5*y = -25, -a + 2*a - 5*y - i = 0. Let d(l) = -l + 12. Let t be d(a). Calculate the highest common factor of 12 and t.\n | 6\n | ibivibiv/math_instruct | |
Let f be -2*37/3*(-24)/(-320). Let d = f + 8/5. Sort 0.5, 0.19, d in descending order.\n | 0.5, 0.19, d\n | ibivibiv/math_instruct | |
List the prime factors of 1746.\n | 2, 3, 97\n | ibivibiv/math_instruct | |
Which is greater: 2 or -129671?\n | 2\n | ibivibiv/math_instruct | |
Suppose -3*n - 21 = 3*o, 2*o + 6*n - n + 29 = 0. Let j be (-2)/(-4) - 1/o. Let f = -3 + 4. Is j at most f?\n | True\n | ibivibiv/math_instruct | |
Let b be (132/(-35) + 4)/(423/45 - 9). Let q be 26/10 + 4/10. Suppose -q*t = t + 8. Put b, -12/7, t, 3/2 in ascending order.\n | t, -12/7, b, 3/2\n | ibivibiv/math_instruct | |
What is next in -16435, -64295, -143583, -254299, -396443?\n | -570015\n | ibivibiv/math_instruct | |
Which is the smallest value? (a) 4/11 (b) 0.2 (c) -0.1 (d) -108\n | d\n | ibivibiv/math_instruct | |
Is 11507 a prime number?\n | False\n | ibivibiv/math_instruct | |
Suppose 10*i = 6*i - 20. Let l be -1 - i - (-4 - -3)*-3. Solve -4*f + l = 13 for f.\n | -3\n | ibivibiv/math_instruct | |
Suppose -33*r = -39*r + 1452. What is the greatest common factor of r and 11?\n | 11\n | ibivibiv/math_instruct | |
What is 4.9596786 milliseconds in hours?\n | 0.0000013776885\n | ibivibiv/math_instruct | |
Evaluate (-72)/12 + (-1)/((-1)/2).\n | -4\n | ibivibiv/math_instruct | |
What is the third derivative of -1256*l**3 + 9 + 518368*l - 518368*l + 78*l**2 wrt l?\n | -7536\n | ibivibiv/math_instruct | |
What is 21332 (base 9) in base 12?\n | 820b\n | ibivibiv/math_instruct | |
Solve 230*y + 42 = 223*y for y.\n | -6\n | ibivibiv/math_instruct | |
If pq = p^5 + q^2 – 2pq, for what value of q is pq equal to p^5 for all values of p?
Answer Choices: (A) -2 (B) -1 (C) 0 (D) 1 (E) 2 | Lets think about the multi-choice question.
C
p5 + q2 – 2pq = p5
=> q2 - 2pq = 0
=> q (q - 2p) = 0
=> q = 0 or q = 2p
im not following the logic you used here.. how did you replace pq with 0 could someone help explain it in MORE DETAI
The answe is C | ibivibiv/math_instruct | |
Let n(k) = 5*k - 10. Let s(t) = 6*t - 9. Let z(m) = 3*n(m) - 4*s(m). Differentiate z(x) with respect to x.\n | -9\n | ibivibiv/math_instruct | |
Simplify (-1*(5 + sqrt(50)/(sqrt(10) - sqrt(10)*2) + sqrt(60)/(sqrt(36)/sqrt(3))))**2.\n | 25\n | ibivibiv/math_instruct | |
Which is the closest to 87? (a) -0.5 (b) -145 (c) 0.5\n | c\n | ibivibiv/math_instruct | |
Suppose -27*t + 21 = -20*t. Let r(x) = -2*x - t*x - 4*x + 8*x. Let q(k) be the second derivative of -k**4/12 - 2*k. Give q(r(j)).\n | -j**2\n | ibivibiv/math_instruct | |
Let q = 12296 - 1364780/111. Let u = q + -4651/74. Let v = u - -62. Which is the smallest value? (a) v (b) -4 (c) -0.5\n | b\n | ibivibiv/math_instruct | |
Solve 51*o - 61*o = 50 for o.\n | -5\n | ibivibiv/math_instruct | |
Suppose 2*h = -5*v + 25, 0 = 3*v - 3*h + 2*h - 4. Let r be 3/(-9) + 19/v. Let f be 5399997/r + (-1)/(-2). Round f to the nearest one hundred thousand.\n | 900000\n | ibivibiv/math_instruct | |
What is the closest to -3/4 in 28/9, 0.2, 3?\n | 0.2\n | ibivibiv/math_instruct | |
Two letters picked without replacement from {x: 1, n: 4, h: 2}. What is prob of picking 1 n and 1 h?\n | 8/21\n | ibivibiv/math_instruct | |
b"What is the jth term of 1048, 1748, 2450, 3154, 3860?\n" | j**2 + 697*j + 350\n | ibivibiv/math_instruct | |
Do -4/2381 and 0 have the same value?\n | False\n | ibivibiv/math_instruct | |
Sort 2/9, -5, 0, -2/13 in increasing order.\n | -5, -2/13, 0, 2/9\n | ibivibiv/math_instruct | |
Let b(q) = q**2 + 3*q - 11. Let n be b(-5). Is ((-2768)/(-4) + -1)*(n - -2) a composite number?\n | False\n | ibivibiv/math_instruct | |
Let u = -22.3 - -3.3. Let t = u - -31. Let d be (-69)/(-92) - 0/5. What is the biggest value in 1/5, t, d?\n | t\n | ibivibiv/math_instruct | |
Let g = 10 - 6. Let z be (g/(-6))/((-1)/45). Is (-18)/z + (-316)/(-10) composite?\n | False\n | ibivibiv/math_instruct | |
Calculate ((8/(-18))/(26/78))/(-16*(-23)/16008).\n | -58\n | ibivibiv/math_instruct | |
What is -8322.21 rounded to the nearest one hundred?\n | -8300\n | ibivibiv/math_instruct | |
What is the closest to 8938 in 1/3, -3/53, 0.1, -2?\n | 1/3\n | ibivibiv/math_instruct | |
Let u(f) = -3*f - 108. Let o be u(-37). Let j = 0.04 - 0.04. Let w = 0 + j. Put 2/5, o, w in descending order.\n | o, 2/5, w\n | ibivibiv/math_instruct | |
Let t(u) be the third derivative of u**3/6 - 2*u**2. Let l(x) = x**2 + x + 4. Let z be 1/((-1)/(-3)) - 5. Determine z*l(w) + 7*t(w).\n | -2*w**2 - 2*w - 1\n | ibivibiv/math_instruct | |
Let r(i) = i**3 + i**2. Let l(j) = 5*j**3 - 6*j**2 + 2. Determine l(b) - 3*r(b).\n | 2*b**3 - 9*b**2 + 2\n | ibivibiv/math_instruct | |
Suppose -z = v - 34, -4*z = -2*v - 112 - 42. Suppose -3*q + 21 = 4*k - z, 3*k - 39 = -2*q. Solve 5*j - 2*j + 2*t = -q, -j + 4*t + 8 = 0 for j.\n | -4\n | ibivibiv/math_instruct | |
Suppose 3*b + 55 = 8*b. Suppose 61 = 3*c + n, 2*n - 45 = -3*c + 14. Calculate the remainder when c is divided by b.\n | 10\n | ibivibiv/math_instruct | |
Sort 11, 0, 60, 8, 1.\n | 0, 1, 8, 11, 60\n | ibivibiv/math_instruct | |
Suppose -165*f + 20 = -185*f. Let z be 4/10 + 74/(-260). Which is smaller: f or z?\n | f\n | ibivibiv/math_instruct | |
What is the common denominator of -31/39 and -32/1629?\n | 21177\n | ibivibiv/math_instruct | |
What is 53869 to the power of 1/10, to the nearest integer?\n | 3\n | ibivibiv/math_instruct | |
Let z be 2*2/((-12)/(-9)). Factor 0 + 1/3*s**4 + 1/3*s**2 - 2/3*s**z + 0*s.\n | s**2*(s - 1)**2/3\n | ibivibiv/math_instruct |
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