instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Divide 18 by -19409.\n | -18/19409\n | ibivibiv/math_instruct | |
Suppose -x = 6, 11*x = 5*o + 8*x - 41623. Is o prime?\n | False\n | ibivibiv/math_instruct | |
Simplify (sqrt(200) + 1 + -5)**2.\n | -80*sqrt(2) + 216\n | ibivibiv/math_instruct | |
Let x = 0.180001 + -0.18. What is x rounded to six decimal places?\n | 0.000001\n | ibivibiv/math_instruct | |
Let n(z) = -z - 12. Let f be n(-7). Suppose -57 - 8 = 62*r - 3. Which is the nearest to -2? (a) f (b) -6 (c) r\n | c\n | ibivibiv/math_instruct | |
b"What is the sth term of 120, 338, 560, 786, 1016, 1250?\n" | 2*s**2 + 212*s - 94\n | ibivibiv/math_instruct | |
What is the highest common factor of 637 and 12313063?\n | 49\n | ibivibiv/math_instruct | |
Calculate (-3 - -4) + 0 + -9.\n | -8\n | ibivibiv/math_instruct | |
Let x(b) be the first derivative of -b**2 + 8. Let p(s) = 17*s. What is p(x(c))?\n | -34*c\n | ibivibiv/math_instruct | |
Which is the closest to -608? (a) 0.4 (b) 8 (c) -30\n | c\n | ibivibiv/math_instruct | |
Simplify -4 + (sqrt(187)/sqrt(704) - sqrt(51)/sqrt(75))**2.\n | -6247/1600\n | ibivibiv/math_instruct | |
Rearrange ((-4 - 1 + 3)*(4 - 4 + 3*y) - 2660 + 1618 + y + 1599)*(0 + 5 - 4) to the form s*y + d and give s.\n | -5\n | ibivibiv/math_instruct | |
Expand (0*w - 3*w + 6*w + 2 - 2 + 2*w + (-2 + 5 - 1)*(4*w - 3*w + w) + 4*w - 5*w + 0*w)*(31*w - 2*w + 13*w).\n | 336*w**2\n | ibivibiv/math_instruct | |
Which is the biggest value? (a) 0.1 (b) -4 (c) 2/137 (d) 1/3\n | d\n | ibivibiv/math_instruct | |
Expand (-2*u**2 - u**2 + 7*u**2)*(-2*u**2 + 0*u**2 + u**2) - 10*u - 575142*u**3 + 575142*u**3 - 34*u**4.\n | -38*u**4 - 10*u\n | ibivibiv/math_instruct | |
Sort 2, 26, -17 in descending order.\n | 26, 2, -17\n | ibivibiv/math_instruct | |
Let r(l) = -2*l**2 - l + 2. Suppose -7*g + 16 = -3*g. Let t(q) = g*q - 3*q + 0*q + 0*q. Determine -r(d) - 3*t(d).\n | 2*d**2 - 2*d - 2\n | ibivibiv/math_instruct | |
Calculate the highest common divisor of 6902 and 845971.\n | 119\n | ibivibiv/math_instruct | |
Let y = 1.671 - -0.329. What is the smallest value in 2/19, y, 1, 0.4?\n | 2/19\n | ibivibiv/math_instruct | |
Multiply -114 and -1686.74.\n | 192288.36\n | ibivibiv/math_instruct | |
Let l(b) = -23*b**3 - 2*b**2 - 2*b - 1. Let u be ((-2 - 0) + 3)/(-1). Let y be l(u). What is the least common multiple of 1 and (-4)/(-22) + 84/y?\n | 4\n | ibivibiv/math_instruct | |
Let t(w) = w**3 - 3 - w**2 + w + 2 + 0*w + 4*w**2. Determine t(-2).\n | 1\n | ibivibiv/math_instruct | |
How many minutes are there between 1:19 PM and 5:19 PM?\n | 240\n | ibivibiv/math_instruct | |
Is 684/72 + 81165/14 a composite number?\n | False\n | ibivibiv/math_instruct | |
Let x(w) = -w + 10. Let m = 7 - -3. Let y be x(m). Suppose y = -r + 78 - 35. What is the tens digit of r?\n | 4\n | ibivibiv/math_instruct | |
Let d(g) = -g**2 - 8*g - 9. Let r be d(-6). Let a(k) = -k**3 - 14*k**2 + 15*k + 2. Let l be a(-15). Suppose r*x + l*x = 165. Is x composite?\n | True\n | ibivibiv/math_instruct | |
Let o be 848 - (0/(-3) + -4). Is 8 a factor of 6/27 + o/54?\n | True\n | ibivibiv/math_instruct | |
What is the smallest value in 0.2, -13, -0.2?\n | -13\n | ibivibiv/math_instruct | |
Solve -89*m = 5*n - 22196 + 22591, -3*m + 35 = 5*n for m.\n | -5\n | ibivibiv/math_instruct | |
Divide 103406 by -4.\n | -51703/2\n | ibivibiv/math_instruct | |
In base 16, what is e0 - -45?\n | 125\n | ibivibiv/math_instruct | |
How many minutes are there between 5:57 PM and 2:45 AM?\n | 528\n | ibivibiv/math_instruct | |
What is 321338 to the power of 1/2, to the nearest integer?\n | 567\n | ibivibiv/math_instruct | |
Put 250, 0.1, 0.4 in descending order.\n | 250, 0.4, 0.1\n | ibivibiv/math_instruct | |
What is the hundreds digit of 2643818?\n | 8\n | ibivibiv/math_instruct | |
Solve 0 = -5*j + 15, t - 9 = 2*t - 3*j for t.\n | 0\n | ibivibiv/math_instruct | |
What is twenty-seven halves of a litre in millilitres?\n | 13500\n | ibivibiv/math_instruct | |
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"Find all School-related info fast with the new School-Specific MBA Forum
It is currently 09 Mar 2014, 17:02
### GMAT Club Daily Prep
#### Thank you for using the timer - this advanced tool can estimate your performance an... | Inequalities are mathematical expressions involving two values or variables separated by a symbol indicating that they are not equal. There are four main types of inequalities: greater than (>), less than (<), greater than or equal to (≥), and less than or equal to (≤). These symbols are used to compare two values and... | ibivibiv/math_instruct | |
Let m = -491 - -552. Are m and -3 nonequal?\n | True\n | ibivibiv/math_instruct | |
Suppose -r - 5*q = -3*r - 24, 18 = 4*r + q. Let d(i) = 32*i**3 + i**2 + i - 1. Let w be d(1). What is the greatest common divisor of w and r?\n | 3\n | ibivibiv/math_instruct | |
Let a be (-3)/1 - 0 - -8. Suppose 2*k - 32 = 3*j, 80 = a*k - 0*j - 3*j. What is the greatest common divisor of k and 8?\n | 8\n | ibivibiv/math_instruct | |
Sort 2, -1017, 59, 3, -5 in ascending order.\n | -1017, -5, 2, 3, 59\n | ibivibiv/math_instruct | |
Let m be (-8)/12 + 23/3. Suppose m*l + 19 = 5*j + 3*l, 0 = 3*j - 4*l - 5. Let z(r) = 2*r - 5. What is the units digit of z(j)?\n | 9\n | ibivibiv/math_instruct | |
Let p = 360 + -251. Is p composite?\n | False\n | ibivibiv/math_instruct | |
Is 70 a factor of (-77500)/(-31) + (2 + 2 - 1)?\n | False\n | ibivibiv/math_instruct | |
b"What is the wth term of -2115, -2114, -2113?\n" | w - 2116\n | ibivibiv/math_instruct | |
(59 - 69) + (-11 - -32)\n | 11\n | ibivibiv/math_instruct | |
Calculate the remainder when 129 is divided by 24.\n | 9\n | ibivibiv/math_instruct | |
Let b = 8918 - 8923. Sort 1/3, 5, b, 1667 in decreasing order.\n | 1667, 5, 1/3, b\n | ibivibiv/math_instruct | |
Calculate -4 divided by 5544461.\n | -4/5544461\n | ibivibiv/math_instruct | |
Let l(y) be the second derivative of y**3/3 - y**2/2 - 1636*y. Give l(6).\n | 11\n | ibivibiv/math_instruct | |
Express -248*h**4 - 211*h**3 + 708*h**4 - 232*h**4 - 3*h**2 + 1 - 231*h**4 in the form y*h + x*h**3 + p*h**4 + g + n*h**2 and give p.\n | -3\n | ibivibiv/math_instruct | |
List the prime factors of 9368.\n | 2, 1171\n | ibivibiv/math_instruct | |
Determine o so that -2*o**2/9 - 3760*o/9 - 872078/9 = 0.\n | -1609, -271\n | ibivibiv/math_instruct | |
Rearrange -478*l + 480*l + 0 - 20*l**2 - 1 - 41*l**2 to w*l**2 + g*l + a and give a.\n | -1\n | ibivibiv/math_instruct | |
b"What is the pth term of -37666302, -37666309, -37666316, -37666323, -37666330?\n" | -7*p - 37666295\n | ibivibiv/math_instruct | |
Collect the terms in 164028 - 13*b**2 - 164028.\n | -13*b**2\n | ibivibiv/math_instruct | |
Let c = -11 - -12. Find the second derivative of -17*o - 11*o**4 + c - 1 wrt o.\n | -132*o**2\n | ibivibiv/math_instruct | |
Let l(b) = b**2 - b + 3. Suppose q = 4*q. Let a be l(q). Factor -u**3 - 6*u**3 + 6*u**a.\n | -u**3\n | ibivibiv/math_instruct | |
Let c = 27 - 22. What is the nearest to -1 in -6, c, -2/5?\n | -2/5\n | ibivibiv/math_instruct | |
What is -9 less than -15401.567266?\n | -15392.567266\n | ibivibiv/math_instruct | |
Three letters picked without replacement from {g: 5, n: 2, r: 3, v: 5}. Give prob of picking 1 n and 2 v.\n | 4/91\n | ibivibiv/math_instruct | |
What is the common denominator of -73/42618 and -74/154587?\n | 2196062922\n | ibivibiv/math_instruct | |
Let a be (-467280002)/(-12) + -24*(-44)/(-6336). What is a rounded to the nearest 1000000?\n | 39000000\n | ibivibiv/math_instruct | |
What is prob of sequence zz when two letters picked without replacement from zzzzzzkzk?\n | 7/12\n | ibivibiv/math_instruct | |
Suppose 0 = -3*f - 4*h - 11, 1 = 3*f + 2*h + 8. Let x be f/2*1*6. Let l be (-13502)/x - 2/3. Round l to the nearest one thousand.\n | 5000\n | ibivibiv/math_instruct | |
What is the next term in 43506, 87192, 130900, 174642, 218430, 262276, 306192, 350190?\n | 394282\n | ibivibiv/math_instruct | |
Simplify -2*(-3 + 4 + (sqrt(12)/sqrt(4)*1 - (sqrt(324) - sqrt(36))/sqrt(12)) + sqrt(6)/(sqrt(2) - (sqrt(2) - sqrt(242)*-2))).\n | -2 + 23*sqrt(3)/11\n | ibivibiv/math_instruct | |
Suppose 0*z - z = 0. Let f be (297/18)/(6/8). Suppose -2*v + z*v = -f. Is v a multiple of 5?\n | False\n | ibivibiv/math_instruct | |
Calculate the greatest common divisor of 3 and 12117921.\n | 3\n | ibivibiv/math_instruct | |
What is 76 minutes before 12:37 AM?\n | 11:21 PM\n | ibivibiv/math_instruct | |
Let s(k) = -k**2 + 11*k - 47. Determine s(8).\n | -23\n | ibivibiv/math_instruct | |
Write an educational piece suited for college students related to the following text snippet:
"# How to generate correlated random numbers with specific distributions?
After read the answers of some similar questions on this site, e.g.,
Generate Correlated Normal Random Variables
Generate correlated random numbers p... | Generating correlated random numbers from specific distributions is a common task in statistics and simulation studies. This process involves creating multiple random variables while ensuring they follow a particular distribution and maintain a specified correlation coefficient. However, achieving both requirements si... | ibivibiv/math_instruct | |
Let o(v) = 4*v**2 + 21*v - 145. Determine o(-9).\n | -10\n | ibivibiv/math_instruct | |
What is 30 divided by 28575?\n | 2/1905\n | ibivibiv/math_instruct | |
Let o = 28 - 21. Suppose d - o*d = -336. Suppose r - d = -3. What is the units digit of r?\n | 3\n | ibivibiv/math_instruct | |
Let z = -0.2 - -0.1. Let n = -0.11 + -0.19. What is the closest to 0.2 in z, -5, n?\n | z\n | ibivibiv/math_instruct | |
Let g = 7329/1441 - 47/131. What is the common denominator of (-6)/(-21) + 638/(-28) and g?\n | 22\n | ibivibiv/math_instruct | |
Solve -3*h - 19 = -z, -55*h + 4*h - 235 + 85 = 9*h + 3*z for h.\n | -3\n | ibivibiv/math_instruct | |
What is 7/(-7)*40/(-8)?\n | 5\n | ibivibiv/math_instruct | |
Suppose -260 = 16*i + 380. Let c be (1 + (0 - 2))/(5/i). Suppose 5*k - 37 = 3*z, -k + 6*k = -4*z + 44. Calculate the highest common factor of k and c.\n | 8\n | ibivibiv/math_instruct | |
How many seconds are there in five sixths of a hour?\n | 3000\n | ibivibiv/math_instruct | |
Let w be 9 - 10 - 10/(-14). Which is the closest to w? (a) -0.5 (b) 0.2 (c) 2\n | a\n | ibivibiv/math_instruct | |
Which is the smallest value? (a) -0.2 (b) -0.2679 (c) -0.1407\n | b\n | ibivibiv/math_instruct | |
Suppose 70*r = 63*r + 4179000. Round r to the nearest 100000.\n | 600000\n | ibivibiv/math_instruct | |
Calculate the common denominator of 101/2 and -5/55294.\n | 55294\n | ibivibiv/math_instruct | |
Let a = -13 - -18. Suppose -272 = -a*d + 178. Suppose s = -4*s + d. Does 6 divide s?\n | True\n | ibivibiv/math_instruct | |
Let t(m) be the second derivative of 19*m**4/12 - 5*m**3/6 + 2*m - 3. Let o(b) = -2*b**2. Determine o(t(n)).\n | -722*n**4 + 380*n**3 - 50*n**2\n | ibivibiv/math_instruct | |
Let m(f) = -f + 9. Let y be m(9). Suppose 2 = -k, y*w = 3*w - 4*k - 14. Let u be w/(-6) + 38/78. Which is smaller: 0 or u?\n | 0\n | ibivibiv/math_instruct | |
Suppose 0 = -5*f + 41 - 11. Suppose 4*c - f = 3*z, -4*c - 2*z - 4 = -0*z. Suppose -7*b - 4 - 3 = c. What is the nearest to b in 2, 0.1, 1/8?\n | 0.1\n | ibivibiv/math_instruct | |
Let x(s) = 219*s - 42188. What is x(224)?\n | 6868\n | ibivibiv/math_instruct | |
Four letters picked without replacement from {w: 3, g: 2, i: 2, y: 4}. Give prob of picking 2 w and 2 i.\n | 1/110\n | ibivibiv/math_instruct | |
Suppose 10*v = -5*f + 9*v + 1535, 5 = v. What is the highest common factor of 1326 and f?\n | 102\n | ibivibiv/math_instruct | |
Calculate the greatest common factor of 44 and 226886.\n | 22\n | ibivibiv/math_instruct | |
Sort 5, 0.4, 0.5, 0, 104/7 in ascending order.\n | 0, 0.4, 0.5, 5, 104/7\n | ibivibiv/math_instruct | |
Solve 16812*x - 76 = 16793*x for x.\n | 4\n | ibivibiv/math_instruct | |
b"What is the lth term of 98, 110, 130, 158?\n" | 4*l**2 + 94\n | ibivibiv/math_instruct | |
Evaluate ((-125)/((-13375)/(-1712))*(-1)/(-8))/((-2)/(-71)).\n | -71\n | ibivibiv/math_instruct | |
Suppose 2*y + 39 = -y. Let t = 18 + y. Suppose t*r = 145 + 55. Calculate the highest common factor of r and 8.\n | 8\n | ibivibiv/math_instruct | |
-6 divided by 43720560\n | -1/7286760\n | ibivibiv/math_instruct |
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