instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Let f = 66 + -67. Let l(i) = i. Calculate l(f).\n | -1\n | ibivibiv/math_instruct | |
Let d(x) = 269*x**2. Let n(p) = -1179*p. Give d(n(g)).\n | 373921029*g**2\n | ibivibiv/math_instruct | |
The probability of pulling a black ball out of a glass jar is 1/R. The probability of pulling a black ball out of a glass jar and breaking the jar is 1/Y. What is the probability of breaking the jar?
Answer Choices: (A) 1/ (XY) (B) R/Y (C) Y/X (D) 1/ (X+Y) (E) 1/ (X-Y) | P of pulling a black ball out of a glass jar AND breaking the jar = 1/Y
P of pulling a black ball out of a glass jar is 1/R
Lets say P of breaking the jar = n
That means 1/R*n=1/Y
n= R/Y
B is the answer | ibivibiv/math_instruct | |
Is 18 a factor of 144?\n | True\n | ibivibiv/math_instruct | |
What is the units digit of 12124?\n | 4\n | ibivibiv/math_instruct | |
What is (4/7)/((-3654)/1421)?\n | -2/9\n | ibivibiv/math_instruct | |
Simplify -1*6*(sqrt(200)*1 + -2 + 1)*-6.\n | -36 + 360*sqrt(2)\n | ibivibiv/math_instruct | |
Let h = 12 + -6. Is (-1 - h/(-15))*-165 a multiple of 8?\n | False\n | ibivibiv/math_instruct | |
In base 12, what is 54b7b - -4?\n | 54b83\n | ibivibiv/math_instruct | |
Let u be (-24)/(-16) + 35/(-30). Factor -u - 2/3*k - 1/3*k**2.\n | -(k + 1)**2/3\n | ibivibiv/math_instruct | |
What are the prime factors of 1476?\n | 2, 3, 41\n | ibivibiv/math_instruct | |
Express 17*l**2 + 7*l**4 + 7*l**4 - 12*l**4 - 2 as w*l + o + k*l**4 + u*l**2 + j*l**3 and give u.\n | 17\n | ibivibiv/math_instruct | |
Let z(m) = -17*m**2. Let b(a) = a**2 + 3257*a. Determine b(z(q)).\n | 289*q**4 - 55369*q**2\n | ibivibiv/math_instruct | |
Calculate the remainder when 83431 is divided by 9253.\n | 154\n | ibivibiv/math_instruct | |
Suppose -15*q = -20*q + 15. Suppose -2*c + j = 3*c + 86, c = q*j - 6. Is (-2)/(54/(-24117)) + 4/c a composite number?\n | True\n | ibivibiv/math_instruct | |
Let m(t) be the second derivative of 5/2*t**2 + 0 - 1/6*t**3 + 18*t. Let w be m(1). Solve 5*r - u - 23 = -10, -4*r + w*u = -20 for r.\n | 2\n | ibivibiv/math_instruct | |
Find the common denominator of 79/387716 and 149/141648.\n | 60483696\n | ibivibiv/math_instruct | |
Let -14*c**3/3 + 2036*c**2 + 576176*c/3 - 55040 = 0. What is c?\n | -80, 2/7, 516\n | ibivibiv/math_instruct | |
Solve 347*u - 374*u = 54 for u.\n | -2\n | ibivibiv/math_instruct | |
What is the common denominator of -51/44 and -43/14272?\n | 156992\n | ibivibiv/math_instruct | |
What is the thousands digit of 1445?\n | 1\n | ibivibiv/math_instruct | |
Suppose 0 = n - 3 + 2. Let u(i) = 2*i**2 + 1. Let p be u(n). Suppose -p*r + 2*z + 27 = -3*z, 4*r - 31 = 5*z. Solve 4*w = t - 10, w + t = -r*w - 17 for w.\n | -3\n | ibivibiv/math_instruct | |
Find the third derivative of 11 + 871*k**5 + 205*k**4 + 3*k**2 - 870*k**5 - 12*k**2 - 189*k**4 wrt k.\n | 60*k**2 + 384*k\n | ibivibiv/math_instruct | |
Factor 4*o**3 - 672*o**2 + 26832*o + 118336.\n | 4*(o - 86)**2*(o + 4)\n | ibivibiv/math_instruct | |
b"What is the ith term of 23918, 95860, 215752, 383588, 599362?\n" | -i**3 + 23981*i**2 + 6*i - 68\n | ibivibiv/math_instruct | |
Let s(b) = 5*b**2 + 4*b - 2. Is s(5) a prime number?\n | False\n | ibivibiv/math_instruct | |
What is 4.270253km in meters?\n | 4270.253\n | ibivibiv/math_instruct | |
Let x(p) be the second derivative of p**7/840 + p**6/90 - p**5/30 + 14*p**3/3 + p + 2. Let i(h) be the second derivative of x(h). Give i(-4).\n | 16\n | ibivibiv/math_instruct | |
Factor -5*d**3 - 305*d**2 - 2180*d - 3180.\n | -5*(d + 2)*(d + 6)*(d + 53)\n | ibivibiv/math_instruct | |
What comes next: -6421075, -6421064, -6421043, -6421006, -6420947, -6420860, -6420739?\n | -6420578\n | ibivibiv/math_instruct | |
What is the distance between 6059 and 29306?\n | 23247\n | ibivibiv/math_instruct | |
Is 720 a multiple of 9?\n | True\n | ibivibiv/math_instruct | |
Let d(a) = 5*a**2 - 341*a - 4374. What is d(-13)?\n | 904\n | ibivibiv/math_instruct | |
Solve 3*h**5 - 24*h**4 - 69*h**3 + 66*h**2 + 228*h + 120 = 0 for h.\n | -2, -1, 2, 10\n | ibivibiv/math_instruct | |
What comes next: 1466, 1588, 1810, 2132?\n | 2554\n | ibivibiv/math_instruct | |
Differentiate 5*f**3*k*m - f**3*m - 2*f**2*m - 10*f**2 + 190600*f*k*m + f*m + 757 with respect to k.\n | 5*f**3*m + 190600*f*m\n | ibivibiv/math_instruct | |
List the prime factors of (-49 + 0)/(-1) - 2.\n | 47\n | ibivibiv/math_instruct | |
In base 2, what is 10111010100 - -10001?\n | 10111100101\n | ibivibiv/math_instruct | |
Let z be (-10*4/(-440))/((-26)/(-143)). Which is the smallest value? (a) 51 (b) z (c) 0.9\n | b\n | ibivibiv/math_instruct | |
Differentiate 2*a**2*f**3*h - 12*a**2*h + 2*a**2 + 79*a*f**3 - 3*f*h with respect to h.\n | 2*a**2*f**3 - 12*a**2 - 3*f\n | ibivibiv/math_instruct | |
Is 340979480 a multiple of 34?\n | False\n | ibivibiv/math_instruct | |
Let l(n) be the third derivative of -n**11/83160 + n**10/12600 + n**9/1512 - 41*n**5/60 - n**2 + 12*n. Let w(z) be the third derivative of l(z). Factor w(q).\n | -4*q**3*(q - 5)*(q + 2)\n | ibivibiv/math_instruct | |
What is the value of (-51)/52 + (-8721)/(-11628)?\n | -3/13\n | ibivibiv/math_instruct | |
Calculate -9 + (8 - -4) + 0.\n | 3\n | ibivibiv/math_instruct | |
Which is greater: -53625 or 2117?\n | 2117\n | ibivibiv/math_instruct | |
Is 993 at most as big as 5?\n | False\n | ibivibiv/math_instruct | |
Let p = -1.03 - -0.03. Let m = -92 + 64. Let t = m - -31. What is the nearest to p in t, 0.4, -2/5?\n | -2/5\n | ibivibiv/math_instruct | |
b"What is the pth term of -1240, -1204, -1182, -1180, -1204, -1260, -1354?\n" | -p**3 - p**2 + 46*p - 1284\n | ibivibiv/math_instruct | |
Simplify (-1*sqrt(91)*-4)/(sqrt(42)/(sqrt(6) - (sqrt(6) - (sqrt(24) + sqrt(6))))).\n | 12*sqrt(13)\n | ibivibiv/math_instruct | |
What is the closest to 1/2 in 2, 0.0933, 0, -217, 3?\n | 0.0933\n | ibivibiv/math_instruct | |
Express m**2 + 5*m - 3*m**4 + 23 - 36 + 1 + 5 as b*m**2 + y*m**4 + r + k*m + x*m**3 and give k.\n | 5\n | ibivibiv/math_instruct | |
Let g(n) = -n**2 + 3*n + 3. Let t(o) = o**2 - o - 1. Let x(z) = 2*g(z) + 6*t(z). Let m(y) = -8*y. Calculate x(m(r)).\n | 256*r**2\n | ibivibiv/math_instruct | |
-0.8718+-3\n | -3.8718\n | ibivibiv/math_instruct | |
Is 74917679017 prime?\n | False\n | ibivibiv/math_instruct | |
Simplify 2 + 5 + (sqrt(7) - (0 + sqrt(7))) - ((sqrt(84)*2)/sqrt(12) - sqrt(7) - (sqrt(112) + sqrt(112)*-1)).\n | -sqrt(7) + 7\n | ibivibiv/math_instruct | |
Simplify (sqrt(1584)*-2)**2 + -3.\n | 6333\n | ibivibiv/math_instruct | |
Is 114407401 a prime number?\n | True\n | ibivibiv/math_instruct | |
Sort 1, -261, 2 in ascending order.\n | -261, 1, 2\n | ibivibiv/math_instruct | |
Let r = -2.4 + 1.2. Let i = r + 1.3. Suppose 3*v + 4 - 7 = 2*w, -w = v - 1. Which is the biggest value? (a) w (b) 5 (c) i\n | b\n | ibivibiv/math_instruct | |
Let p(m) = -34*m + 7. Let u be p(-11). Suppose -240 = -3*v + u. What are the prime factors of v?\n | 3, 23\n | ibivibiv/math_instruct | |
Suppose -31 = 13*u - 187. Let x(m) = m**2 - 12*m - 5. Let h be x(u). Suppose 0 = 3*n + q - 6*q - 85, 95 = 4*n - 3*q. Sort n, h, -1 in descending order.\n | n, -1, h\n | ibivibiv/math_instruct | |
b"What is the qth term of 673, 664, 645, 610, 553, 468, 349?\n" | -q**3 + q**2 - 5*q + 678\n | ibivibiv/math_instruct | |
What is the common denominator of -19/745 and 1/1066705?\n | 158939045\n | ibivibiv/math_instruct | |
Let j(a) be the first derivative of -215*a**4/2 - 3*a**2 - 28*a - 147. What is the second derivative of j(i) wrt i?\n | -2580*i\n | ibivibiv/math_instruct | |
What is the third smallest value in 4115, 0.4, 57?\n | 4115\n | ibivibiv/math_instruct | |
What is the value of 10 + 1 + (-3 + 0 - -9)?\n | 17\n | ibivibiv/math_instruct | |
Let d(w) = 2*w. Let h(z) be the third derivative of -27*z**5/20 + z**4/12 - 2*z**2 - 73. What is d(h(j))?\n | -162*j**2 + 4*j\n | ibivibiv/math_instruct | |
Let i = -82 + 87. Solve -5*o - 25 = 5*g, -o = -g + 4*g + i for o.\n | -5\n | ibivibiv/math_instruct | |
-308820682 - -477297\n | -308343385\n | ibivibiv/math_instruct | |
Let j(i) be the second derivative of -i**4/6 - 2*i. Let m(s) = s - 1. Let b(r) = -r**2 + 9*r - 9. Let t(g) = -2*b(g) + 18*m(g). What is t(j(q))?\n | 8*q**4\n | ibivibiv/math_instruct | |
What comes next: -8626, -17246, -25866?\n | -34486\n | ibivibiv/math_instruct | |
Let g = 20.554 + 0.246. Let d = 23.8 - g. Let v = -0.03 + -0.97. Put v, d, 0.5 in descending order.\n | d, 0.5, v\n | ibivibiv/math_instruct | |
What is the biggest value in -26, -3, -10?\n | -3\n | ibivibiv/math_instruct | |
Suppose 0 = -0*m - 17*m + 44659. Is m a composite number?\n | True\n | ibivibiv/math_instruct | |
Collect the terms in -26*u - 17*u + 17*u.\n | -26*u\n | ibivibiv/math_instruct | |
What is -0.058 times 6899?\n | -400.142\n | ibivibiv/math_instruct | |
Let h(f) = 41727*f + 1168446. Give h(-28).\n | 90\n | ibivibiv/math_instruct | |
Collect the terms in -18*g**3 + 6*g**3 + 13*g**3.\n | g**3\n | ibivibiv/math_instruct | |
What is 419 minutes after 6:23 PM?\n | 1:22 AM\n | ibivibiv/math_instruct | |
Find r such that -r**2 + 223*r + 27368 = 0.\n | -88, 311\n | ibivibiv/math_instruct | |
Let b(n) = n**3 - 34*n**2 + 282*n + 63. Calculate b(19).\n | 6\n | ibivibiv/math_instruct | |
In base 15, what is 10dcb + 3?\n | 10dce\n | ibivibiv/math_instruct | |
What is the result of the following expression?
19.2886 / (87.2784 % 81.1584) | 3.1517 | ibivibiv/math_instruct | |
Two letters picked without replacement from {j: 5, t: 1, n: 6, d: 2, v: 1, i: 2}. What is prob of picking 1 i and 1 d?\n | 1/34\n | ibivibiv/math_instruct | |
Let t = 8107 - 8096. Solve 39*d - 67 = t for d.\n | 2\n | ibivibiv/math_instruct | |
-83 times -0.213\n | 17.679\n | ibivibiv/math_instruct | |
What is the result of the following expression?
(-33.5305 / -85.2132) + (77.3007 + 82.3722) | 160.0664 | ibivibiv/math_instruct | |
Calculate prob of picking 1 b and 1 n when two letters picked without replacement from gbbn.\n | 1/3\n | ibivibiv/math_instruct | |
Calculate 72500 divided by 5.\n | 14500\n | ibivibiv/math_instruct | |
What is prob of sequence wyyt when four letters picked without replacement from yjjyyywwyyytypjpyp?\n | 1/510\n | ibivibiv/math_instruct | |
Multiply 0.1 and -3.3.\n | -0.33\n | ibivibiv/math_instruct | |
Rearrange -216*h**2 + 6965152*h - 6965166*h - 43*h**2 to the form w*h + n + a*h**2 and give a.\n | -259\n | ibivibiv/math_instruct | |
Evaluate (-12)/42 - (57/7)/3.\n | -3\n | ibivibiv/math_instruct | |
What is the highest common factor of 89511 and 78?\n | 3\n | ibivibiv/math_instruct | |
What is the result of the following expression?
-81.7552 % (70.8069 + 3.2605) | 66.3796 | ibivibiv/math_instruct | |
Let s(n) be the third derivative of n**5/60 + n**4/3 + 7*n**3/6 + 1007*n**2. Let s(t) = 0. What is t?\n | -7, -1\n | ibivibiv/math_instruct | |
Which is bigger: 0 or -11/47?\n | 0\n | ibivibiv/math_instruct | |
What is the highest common factor of 495 and 225?\n | 45\n | ibivibiv/math_instruct | |
Let j(d) = 2*d + 16. Let o be j(-6). Let w(b) = -2*b**2 + 4*b - 6. Let l be w(o). What is the units digit of (-17 - l)*(-8)/(-5)?\n | 8\n | ibivibiv/math_instruct | |
Suppose 5*t - 19 = 1. Suppose 0 = -3*v + 2*v + t. Let q(a) = -v*a**2 - 5 + 5 + 5*a**2. Let f(s) = -4*s**2. What is f(q(b))?\n | -4*b**4\n | ibivibiv/math_instruct |
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