instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Let b be 3/(-6) - (-11 - -19 - 279/6). Solve 3*l + 13 = 2*n, 5*l + 21 = b*n - 35*n for n.\n | 2\n | ibivibiv/math_instruct | |
Let w(c) = 2*c**2 - 1. Let t(g) = -12*g**2 - 6*g + 10. Let h(p) = -t(p) - 3*w(p). Let b(v) = v - 1. Determine -6*b(q) + h(q).\n | 6*q**2 - 1\n | ibivibiv/math_instruct | |
Solve -40 = -5*h - 35*h for h.\n | 1\n | ibivibiv/math_instruct | |
Suppose 5*q = q - 3*b + 40, -4*q + 4*b = -40. Calculate the remainder when 4/(-12) + 76/3 is divided by q.\n | 5\n | ibivibiv/math_instruct | |
Let d(w) = -w + 0*w + 3*w. Let f be 1/((-4)/20) - (2 + -35). Let n(z) = 46 - 74 + 10*z + f. What is d(n(t))?\n | 20*t\n | ibivibiv/math_instruct | |
Let b = -0.0863 - 0.0037. Let s be 2/5 - (-52)/(-80). Which is smaller: b or s?\n | s\n | ibivibiv/math_instruct | |
Suppose 4*k + k - 35 = 0. Let m = k + -4. Suppose -b**m - 49*b**4 + 4 - 27*b**3 + 28*b + 0*b**2 + 45*b**2 = 0. Calculate b.\n | -1, -2/7, 1\n | ibivibiv/math_instruct | |
Divide 34465 by -6.\n | -34465/6\n | ibivibiv/math_instruct | |
Sort 1, -7, -0.05, 1/9, 1/21 in descending order.\n | 1, 1/9, 1/21, -0.05, -7\n | ibivibiv/math_instruct | |
Let y be 2/(-6) + (-11 - (-93)/9). Is -2 != y?\n | True\n | ibivibiv/math_instruct | |
in a simultaneous throw of pair of dice . find the probability of getting the total more than 7 . Lets write a Python program to solve it. | n0 = 7.0
t0 = n0 + 4.0
t1 = 2.0 + 4.0
t2 = t0 + 4.0
t3 = t1 * t1
answer = t2 / t3
print(answer) | ibivibiv/math_instruct | |
Is 100999/6 at most 16834?\n | True\n | ibivibiv/math_instruct | |
What is prob of picking 2 l and 1 j when three letters picked without replacement from ljklllljljltlctjkjxk?\n | 7/57\n | ibivibiv/math_instruct | |
Collect the terms in -8 + 10 - 2 - 4965054*n + 4965066*n.\n | 12*n\n | ibivibiv/math_instruct | |
Expand (-3*l + 5*l + 8*l)*((1 - 1 + 2)*(-2 + 2 - 3) + 2 + 0 - 1).\n | -50*l\n | ibivibiv/math_instruct | |
Put 6464, 0, 4, 1 in descending order.\n | 6464, 4, 1, 0\n | ibivibiv/math_instruct | |
Let p(n) be the second derivative of -n**3/6 - 11*n. Let i(q) be the first derivative of q**2/2 + 1. Calculate p(i(l)).\n | -l\n | ibivibiv/math_instruct | |
What is 92960 to the power of 1/3, to the nearest integer?\n | 45\n | ibivibiv/math_instruct | |
Suppose j - 154 = -46. Suppose 5*w = 5*n - 675, -n + 4*w + j + 42 = 0. List the prime factors of n.\n | 2, 5, 13\n | ibivibiv/math_instruct | |
Expand (4 - 5 + 3)*(-4 + 6 - 2 - 149*k).\n | -298*k\n | ibivibiv/math_instruct | |
Collect the terms in -33*v**2 + 85*v**2 - 28*v**2 - 27*v**2.\n | -3*v**2\n | ibivibiv/math_instruct | |
What is 3b40 (base 13) in base 16?\n | 2136\n | ibivibiv/math_instruct | |
Calculate the greatest common divisor of 2328 and 62274.\n | 582\n | ibivibiv/math_instruct | |
Suppose -24 = -3*w - 3. What is the smallest common multiple of 4 and w?\n | 28\n | ibivibiv/math_instruct | |
How many minutes are there between 10:59 AM and 2:04 PM?\n | 185\n | ibivibiv/math_instruct | |
What is prob of sequence bbcx when four letters picked without replacement from {x: 1, p: 1, c: 1, b: 9}?\n | 1/165\n | ibivibiv/math_instruct | |
What is the seventh root of 24321781 to the nearest integer?\n | 11\n | ibivibiv/math_instruct | |
What is -4 (base 15) in base 7?\n | -4\n | ibivibiv/math_instruct | |
Which is the closest to 0.1? (a) 7 (b) 1 (c) -0.2\n | c\n | ibivibiv/math_instruct | |
Let c(x) = 598*x - 2404. Let k be c(4). Suppose 0*l = -3*l - 4*v + 3, -4*l + 3*v = -4. Sort k, -1, -4, l in decreasing order.\n | l, -1, -4, k\n | ibivibiv/math_instruct | |
Suppose 730*g + 2405 = 743*g. What are the prime factors of g?\n | 5, 37\n | ibivibiv/math_instruct | |
Is 259925177 a composite number?\n | True\n | ibivibiv/math_instruct | |
Calculate prob of sequence ywn when three letters picked without replacement from {w: 1, n: 2, y: 1, c: 2, d: 1}.\n | 1/105\n | ibivibiv/math_instruct | |
Solve 63 = -4*c + 55, 0 = -4*l + 3*c - 26 for l.\n | -8\n | ibivibiv/math_instruct | |
Collect the terms in 173233 - 2*s - 173233.\n | -2*s\n | ibivibiv/math_instruct | |
Calculate the remainder when 422276111 is divided by 27.\n | 26\n | ibivibiv/math_instruct | |
Is 17270965 composite?\n | True\n | ibivibiv/math_instruct | |
What is the tens digit of 32436?\n | 3\n | ibivibiv/math_instruct | |
What is the eighth root of 58648680 to the nearest integer?\n | 9\n | ibivibiv/math_instruct | |
What is the value of (66/(-3036))/(1/4)?\n | -2/23\n | ibivibiv/math_instruct | |
Let y = -3647 - -12576. Is y a composite number?\n | False\n | ibivibiv/math_instruct | |
Let r(v) = -11*v + 1. Let k(w) = w**3 - 4*w**2 - 1. Let i = -9 + 13. Let t be k(i). Is r(t) a multiple of 6?\n | True\n | ibivibiv/math_instruct | |
Suppose -7*y + 54 = -2. Suppose 5 = 3*i + y. Let c be i/(-4) + 93/12. Solve -2*b = 2*b + c for b.\n | -2\n | ibivibiv/math_instruct | |
Solve -105*b + 111*b - 18 = 0 for b.\n | 3\n | ibivibiv/math_instruct | |
Suppose u = -5*z + 7, -z - 7 = -0*u - 4*u. Differentiate 0 + 0*t**4 + 7*t**4 + z + 2 with respect to t.\n | 28*t**3\n | ibivibiv/math_instruct | |
Let n(z) = -z**3 - 5*z**2 - 3*z + 7. Let p be n(-4). Suppose 0 = p*b + b. Sort 3, 1, -5, b.\n | -5, b, 1, 3\n | ibivibiv/math_instruct | |
Let g be (-2*1/(-4))/(74/296). Let r(p) = 3*p**2 + 1. Let x(f) = -10*f**2 - 3. Calculate g*x(u) + 7*r(u).\n | u**2 + 1\n | ibivibiv/math_instruct | |
Calculate prob of sequence qv when two letters picked without replacement from mmxxvxvvbxvmqxxqv.\n | 5/136\n | ibivibiv/math_instruct | |
Find the third derivative of -8*c**2*s**4 + 2*c**2*s + 171*c*s**2 + 15*s**5 wrt s.\n | -192*c**2*s + 900*s**2\n | ibivibiv/math_instruct | |
What is the remainder when (-534)/(-18) - -1 - (-4)/3 is divided by 18?\n | 14\n | ibivibiv/math_instruct | |
Let k(h) be the first derivative of 3/35*h**5 + 1/4*h**4 + 1/14*h**2 + 0*h + 6 + 5/21*h**3. Factor k(z).\n | z*(z + 1)**2*(3*z + 1)/7\n | ibivibiv/math_instruct | |
Let k(d) be the second derivative of -d**6/120 - d**5/60 + d**4/24 + 3*d**2/2 + 3*d. Let r(c) be the first derivative of k(c). Is r(-2) even?\n | True\n | ibivibiv/math_instruct | |
Let f(m) = -2*m**2. Let v(p) = -2*p**2 + 2669*p - 8. Calculate v(f(r)).\n | -8*r**4 - 5338*r**2 - 8\n | ibivibiv/math_instruct | |
What is the ten thousands digit of 58783?\n | 5\n | ibivibiv/math_instruct | |
Let t be (-1)/2 - 24/(-32). Suppose 22*g = 18*g - 4. Let k = -0.3 - -1.3. What is the closest to k in 1, t, g?\n | 1\n | ibivibiv/math_instruct | |
Let m be 2/1 + -7*(-1595)/203. What is the greatest common divisor of m and 13072?\n | 19\n | ibivibiv/math_instruct | |
Let x(f) = f**3 - 3*f**2 + 9*f - 2. What is x(7)?\n | 257\n | ibivibiv/math_instruct | |
Is 16311419 composite?\n | False\n | ibivibiv/math_instruct | |
In base 4, what is 11 - 210?\n | -133\n | ibivibiv/math_instruct | |
How many minutes are there between 4:17 PM and 7:34 PM?\n | 197\n | ibivibiv/math_instruct | |
Let c be 163/(-15) + (-6)/45. Let g be (-9 - c)*(-24)/(-39). Determine o so that -2/13*o**4 + 0 + 8/13*o - g*o**2 + 10/13*o**3 = 0.\n | 0, 1, 2\n | ibivibiv/math_instruct | |
Let y(f) be the first derivative of 5*f**3/3 - 1. Let v(p) = -3*p**2. Calculate y(v(a)).\n | 45*a**4\n | ibivibiv/math_instruct | |
Let b(v) = 187*v**3 + v**2 + 22*v - 2. Is 170 a factor of b(4)?\n | True\n | ibivibiv/math_instruct | |
Let u be ((-171945)/770)/(842/6). Let d be (-4 - -5)*(-1)/(-2947). Let n = u + d. What is the common denominator of -47/22 and n?\n | 22\n | ibivibiv/math_instruct | |
Suppose -200 = z + 4*z. Let p be z/6*(-3)/2. Let u = 7 - 5. Solve u = -2*j + p for j.\n | 4\n | ibivibiv/math_instruct | |
Suppose -2*v = 2*v + 24. Let x(d) = d**2 + 4*d - 8. Let s be x(v). What is the closest to 0.3 in -3, -0.2, s?\n | -0.2\n | ibivibiv/math_instruct | |
Let b(t) = t**2 + 4*t - 1. Let s be b(-4). Let g be s + (0 - 2) + -97. Let v = -1 - g. Is 27 a factor of v?\n | False\n | ibivibiv/math_instruct | |
Let h(n) = 70*n**2 - 7*n - 13. Let b(v) = v**2 - v - 2. Calculate -14*b(o) + 2*h(o).\n | 126*o**2 + 2\n | ibivibiv/math_instruct | |
Let i be 9 - (-9 + -1 - -2)/(-2). Suppose 3*z + 198 = 5*t, 6*z = 4*t + i*z - 164. Suppose 0 = -39*q + t*q - 15. Solve 0 = 3*h - 3*d + 6, -q*h = 5*d - 10 for h.\n | 0\n | ibivibiv/math_instruct | |
Solve -2*x + 131 = -26*x + 35 for x.\n | -4\n | ibivibiv/math_instruct | |
What is the tens digit of 292084?\n | 8\n | ibivibiv/math_instruct | |
Let l = 884.00000539 - 884. What is l rounded to six decimal places?\n | 0.000005\n | ibivibiv/math_instruct | |
Let v(l) be the third derivative of 1/2*l**3 - 148*l**2 + 0*l + 0 + 1/6*l**4 + 1/60*l**5. Calculate v(-3).\n | 0\n | ibivibiv/math_instruct | |
Let l = -81 - -725/9. Put l, 7, 10, 0.1 in increasing order.\n | l, 0.1, 7, 10\n | ibivibiv/math_instruct | |
Let n(j) = -j - 19. Let f be n(-22). Is 13 a factor of 1647/f - (-1 - -5)?\n | False\n | ibivibiv/math_instruct | |
Expand (3*q**3 - 2*q + 2*q)*(-q**2 - q**2 + 0*q**2) + (2*q**2 - q**3 - 2*q**2)*(-8*q**2 + 2*q**2 + 0*q**2) - q**5 - q**3 + q**3.\n | -q**5\n | ibivibiv/math_instruct | |
Is 182280517 a prime number?\n | True\n | ibivibiv/math_instruct | |
What is 0.1306 times -0.1?\n | -0.01306\n | ibivibiv/math_instruct | |
What is the cube root of 77161 to the nearest integer?\n | 43\n | ibivibiv/math_instruct | |
Simplify (k**(1/2))**(-1/99)/(k/(k**(1/4)/k*k))**(-39)*(k/(k/(k**(-7)*k*k)*k)*k**(-2/7))/(k**(-1/2)*k/(k*(k/k**(5/4))/k)) assuming k is positive.\n | k**(15391/693)\n | ibivibiv/math_instruct | |
Let i be (6*(2 + -3))/((-14)/(-1750)). Let x = -747 - i. Let a = 0.04 + 0.26. What is the smallest value in a, 2, x?\n | a\n | ibivibiv/math_instruct | |
What is the result of the following expression?
-53.077 + -3.7916 | -56.8686 | ibivibiv/math_instruct | |
Suppose -17*u + 2110 + 236 = 0. Calculate the greatest common divisor of 6 and u.\n | 6\n | ibivibiv/math_instruct | |
Three letters picked without replacement from ibttiityii. What is prob of picking 2 t and 1 y?\n | 1/40\n | ibivibiv/math_instruct | |
Let x be ((-2)/2)/(8 + -7). Suppose 0 = 3*j - j - 4. Sort x, j, -5.\n | -5, x, j\n | ibivibiv/math_instruct | |
(-5 - (4 + -8) - -4) + (-803)/528*-48\n | 76\n | ibivibiv/math_instruct | |
Put 2, 13511, -3, -5, -1 in increasing order.\n | -5, -3, -1, 2, 13511\n | ibivibiv/math_instruct | |
How many minutes are there between 2:54 PM and 3:53 PM?\n | 59\n | ibivibiv/math_instruct | |
b"What is the xth term of -18000, -36095, -54252, -72471, -90752?\n" | -31*x**2 - 18002*x + 33\n | ibivibiv/math_instruct | |
Simplify ((y**(-1/2)*y)**(-1))**(-33)*(y/y**(2/3))/(y*y/(y*y**4/y))*((((y*y**(-1/4)*y)/y)/y)/y)/y**(-1/6) assuming y is positive.\n | y**(71/4)\n | ibivibiv/math_instruct | |
Solve -44*l + 9 = -47*l - 2*u, u = -u + 6 for l.\n | -5\n | ibivibiv/math_instruct | |
Suppose 1821 = 4*x - 3419. Calculate the remainder when x/55 - 4/(-22) is divided by 14.\n | 10\n | ibivibiv/math_instruct | |
What comes next: 54, 53, 56, 63, 74, 89?\n | 108\n | ibivibiv/math_instruct | |
Let m(v) = 7*v**2 - v. Let f(j) = -8*j**2 + j. Let w(n) = 6*f(n) + 7*m(n). Let y be w(1). Suppose -3*h + 400 - 127 = y. Is h a composite number?\n | True\n | ibivibiv/math_instruct | |
Let z be 3 - (-9)/(7 - -2). Let t(b) = -b**2 + 7*b - 6. Let q(l) = l - 1. Let k(c) = -q(c) + t(c). Calculate k(z).\n | 3\n | ibivibiv/math_instruct | |
1 + 6 + -6 + -3 + 0\n | -2\n | ibivibiv/math_instruct | |
Let i = 19 + -22.1. Let x = i + 1.1. Let g = 17.13 + -16.63. Which is the closest to 0? (a) x (b) 3 (c) g\n | c\n | ibivibiv/math_instruct | |
Let p = 51 - 29. What is the highest common divisor of p and 11?\n | 11\n | ibivibiv/math_instruct | |
Put 5, 4970, -10 in decreasing order.\n | 4970, 5, -10\n | ibivibiv/math_instruct | |
Four letters picked without replacement from {p: 1, h: 5, l: 12}. Give prob of picking 3 l and 1 h.\n | 55/153\n | ibivibiv/math_instruct |
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