instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
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"dc.contributor.author Aharoni, Ron dc.contributor.author Alon, Noga dc.contributor.author Amir, Michal dc.contributor.author Haxell, Penny dc.contributor.author Hefetz, Dan dc.contributor.author Jiang, Zilin dc.contributor.au... | The provided text snippet pertains to the area of combinatorial mathematics known as Ramsey theory, specifically focusing on edge colorings of complete graphs. Before delving into the details of the snippet, its essential to establish fundamental definitions and concepts necessary to understand this topic.
A graph $G... | ibivibiv/math_instruct | |
Expand (-741*l + 118*l - 235*l)*(4 - 2 - 4).\n | 1716*l\n | ibivibiv/math_instruct | |
Is 4022721 a multiple of 13?\n | False\n | ibivibiv/math_instruct | |
Let z = 12 + -11. Let y be 8/16*(z + 7). Suppose y*n = 8*n - 60. What is the greatest common factor of 30 and n?\n | 15\n | ibivibiv/math_instruct | |
Let f(c) = c**2 - 11*c + 31. Let g be f(5). Solve -9 - g = -2*b for b.\n | 5\n | ibivibiv/math_instruct | |
What is 367 minutes before 6:40 PM?\n | 12:33 PM\n | ibivibiv/math_instruct | |
Round -6.371 to the nearest integer.\n | -6\n | ibivibiv/math_instruct | |
-13322200 (base 4) to base 15\n | -9911\n | ibivibiv/math_instruct | |
Solve -40 = -5*n - 3*x, 9*n + 71*x = -n + 68*x + 80 for n.\n | 8\n | ibivibiv/math_instruct | |
What is the result of the following expression?
65.537 - (88.986 + 50.255) | -73.7040 | ibivibiv/math_instruct | |
Which is bigger: -340968 or -340970?\n | -340968\n | ibivibiv/math_instruct | |
What is -276369 rounded to the nearest ten thousand?\n | -280000\n | ibivibiv/math_instruct | |
Suppose 2*i + 42 = 3*r, r - 18 + 4 = -2*i. Let d be (-4)/10 + 3953/295. Which is smaller: d or r?\n | d\n | ibivibiv/math_instruct | |
What is the difference between 2140830864 and 0.46?\n | 2140830863.54\n | ibivibiv/math_instruct | |
Let c(a) = a**5 + a**4 + a**3 - a**2 - 1. Let x(k) = -5*k**5 - 5*k**4 + 7*k**3 + 13*k**2 - 8*k - 5. Let p(i) = -3*c(i) - x(i). Solve p(o) = 0 for o.\n | -2, -1, 1, 2\n | ibivibiv/math_instruct | |
Does 49 divide 45633?\n | False\n | ibivibiv/math_instruct | |
Sort 3, 42, 8419 in descending order.\n | 8419, 42, 3\n | ibivibiv/math_instruct | |
Let q(u) = -24*u + 903. Let d(x) = 6*x - 219. Let w(b) = -33*d(b) - 8*q(b). Let g be (6 + -3)*-1*1. Calculate w(g).\n | 21\n | ibivibiv/math_instruct | |
Let l = 29 - 44. Let m be (36/l)/(2 + (-56)/30). Let v be m/(-27) - 20/(-6). Solve 4*r + 12 = v*t, 0*t + 5*t - 20 = 0 for r.\n | 1\n | ibivibiv/math_instruct | |
Suppose -58*s + 10 = -53*s. Suppose -6 = -4*l - s. What is the units digit of 42 + (l - (-3 - -3))?\n | 3\n | ibivibiv/math_instruct | |
Is 1/1042 > -1?\n | True\n | ibivibiv/math_instruct | |
In base 14, what is d4 + -5?\n | cd\n | ibivibiv/math_instruct | |
What is the closest to 0 in 0.2, 10/253, 60?\n | 10/253\n | ibivibiv/math_instruct | |
Suppose 3*u + 2*u - 10 = 0. Suppose -w - 2*w - u*y + 6 = 0, -y = 2*w - 5. Suppose -w = -5*h + 16. Solve -h*c = -2*c + 6 for c.\n | -3\n | ibivibiv/math_instruct | |
Four letters picked without replacement from zjopzzijojjojpijjs. Give prob of picking 1 j, 1 z, 1 s, and 1 o.\n | 7/340\n | ibivibiv/math_instruct | |
How many minutes are there between 3:40 AM and 1:13 PM?\n | 573\n | ibivibiv/math_instruct | |
What is the biggest value in 9/8, 0.1, -95, -3, -0.1?\n | 9/8\n | ibivibiv/math_instruct | |
Calculate -35 + -1 + 56 + (24 - 8).\n | 36\n | ibivibiv/math_instruct | |
Calculate the remainder when 28758460 is divided by 4210.\n | 4160\n | ibivibiv/math_instruct | |
What is (3 - (21 - 14 - 18)) + -18?\n | -4\n | ibivibiv/math_instruct | |
Solve -3*r = -r - 2*p - 2, -4*p = 4*r + 12 for r.\n | -1\n | ibivibiv/math_instruct | |
b"What is the xth term of -32188, -32165, -32116, -32029, -31892?\n" | 2*x**3 + x**2 + 6*x - 32197\n | ibivibiv/math_instruct | |
What is the fourth root of 6520 to the nearest integer?\n | 9\n | ibivibiv/math_instruct | |
Suppose -3*k - 5*l - 4 = 0, -3*l - 6 + 0 = 0. List the prime factors of ((-3)/k)/((-24)/112).\n | 7\n | ibivibiv/math_instruct | |
What is the highest common divisor of 1111 and 2097871?\n | 101\n | ibivibiv/math_instruct | |
What is 148879 to the power of 1/9, to the nearest integer?\n | 4\n | ibivibiv/math_instruct | |
What is the closest to 0.5 in -5, 3/2, -845/3, -1, 0.01?\n | 0.01\n | ibivibiv/math_instruct | |
What is the nearest to 6/7 in 5, 2/5, 0.028, 0.5, -2085?\n | 0.5\n | ibivibiv/math_instruct | |
Which is smaller: -130 or -3?\n | -130\n | ibivibiv/math_instruct | |
Let v be 3 - (-7)/((-14)/(-4)). Let k = v + -5. Suppose k = -u - 0*u + 26. Does 13 divide u?\n | True\n | ibivibiv/math_instruct | |
What is the next term in 99, 148, 199, 252?\n | 307\n | ibivibiv/math_instruct | |
Is 69304969 a prime number?\n | True\n | ibivibiv/math_instruct | |
Which is the smallest value? (a) -0.1 (b) 3 (c) 11 (d) 4/15\n | a\n | ibivibiv/math_instruct | |
Which is smaller: 2 or -3/10843?\n | -3/10843\n | ibivibiv/math_instruct | |
What is (-1 - -1) + (-7 - (4 - 7))?\n | -4\n | ibivibiv/math_instruct | |
Let i = -29 + 33. Let y(j) = 15*j**3 - 5 + i - 2*j**3 + 3*j**2 - 2*j**2. Give y(1).\n | 13\n | ibivibiv/math_instruct | |
(2/(-5))/((-2580)/21500)\n | 10/3\n | ibivibiv/math_instruct | |
Collect the terms in -2*l**3 + 18506*l**2 - 18506*l**2.\n | -2*l**3\n | ibivibiv/math_instruct | |
Let g(m) = m**3 + 11*m**2 + m + 33. Suppose -11*q - 121 + 0 = 0. Let i = -67 - -197. Calculate the least common multiple of g(q) and i.\n | 1430\n | ibivibiv/math_instruct | |
Four letters picked without replacement from siipissssssspsissspp. What is prob of sequence sppi?\n | 8/1615\n | ibivibiv/math_instruct | |
Is 2528734021 a prime number?\n | False\n | ibivibiv/math_instruct | |
What is the tens digit of 1305979?\n | 7\n | ibivibiv/math_instruct | |
What is 4.137659 decades in years?\n | 41.37659\n | ibivibiv/math_instruct | |
Let a(t) = -20*t**3 + 5*t**2 - 33. Let x(r) = -9*r**3 + 2*r**2 - 16. What is 3*a(m) - 7*x(m)?\n | 3*m**3 + m**2 + 13\n | ibivibiv/math_instruct | |
What is the ten thousands digit of 294872398?\n | 7\n | ibivibiv/math_instruct | |
Is 3665 a composite number?\n | True\n | ibivibiv/math_instruct | |
What is the first derivative of 41*k**3*m**2*w + 454*k**3*m**2 + 95470*k**3*w**2 - 220*m**2 wrt w?\n | 41*k**3*m**2 + 190940*k**3*w\n | ibivibiv/math_instruct | |
Collect the terms in 8*z**3 + 19*z + 23*z + 17*z - 59*z.\n | 8*z**3\n | ibivibiv/math_instruct | |
Let r = -4.8997 + -103.1003. Let k = 5 + -3. Are r and k non-equal?\n | True\n | ibivibiv/math_instruct | |
Let z = 7640/7 + -1091. Which is the closest to 2? (a) 0.1 (b) -4 (c) z (d) -3/5\n | c\n | ibivibiv/math_instruct | |
Divide 718736792 by -8.\n | -89842099\n | ibivibiv/math_instruct | |
Let i(h) = -h**3 - 50*h**2 + 3423*h + 168908. What is i(-48)?\n | -4\n | ibivibiv/math_instruct | |
Solve 9*k - 8 = 37 for k.\n | 5\n | ibivibiv/math_instruct | |
Find r such that -705675*r**3/2 + 12703120*r**2 - 104762*r/3 + 24 = 0.\n | 2/1455, 36\n | ibivibiv/math_instruct | |
Suppose -5*j + 12 = -j, -5*b + 356 = -3*j. Suppose 3*l + 0*x - 5*x = 49, 4*l + x - b = 0. Is 11 a factor of l?\n | False\n | ibivibiv/math_instruct | |
Let b(x) = -12*x**2. Let d(q) = 2*q. Let p(t) = -t**2 + 12*t. Let r(y) = 6*d(y) - p(y). What is -b(n) - 16*r(n)?\n | -4*n**2\n | ibivibiv/math_instruct | |
In base 9, what is -4 - 6774514?\n | -6774518\n | ibivibiv/math_instruct | |
-0.12*0.03\n | -0.0036\n | ibivibiv/math_instruct | |
What is 3048.7 micrograms in milligrams?\n | 3.0487\n | ibivibiv/math_instruct | |
Let w = 2.382 + -2.4. Round w to 2 dps.\n | -0.02\n | ibivibiv/math_instruct | |
-520 divided by -13\n | 40\n | ibivibiv/math_instruct | |
Simplify ((r*r**(-2/29)*r*r)/(r**(2/9)*r)*(r*r*r*r*((r*r**(-2))/r)/r*r*r)**(32/3))**37 assuming r is positive.\n | r**(325526/261)\n | ibivibiv/math_instruct | |
Simplify (z/(z*z**(-4)*z)*z**(-2/23)*z)/(z**(1/5)/(z/(z*(z/(z**6*z))/z))) assuming z is positive.\n | z**(1232/115)\n | ibivibiv/math_instruct | |
How many months are there in thirteen quarters of a millennium?\n | 39000\n | ibivibiv/math_instruct | |
Factor -4*u**3 + 1537812*u**2 - 147803340300*u - 147804878116.\n | -4*(u - 192227)**2*(u + 1)\n | ibivibiv/math_instruct | |
What is -2.6316 rounded to two decimal places?\n | -2.63\n | ibivibiv/math_instruct | |
Calculate the greatest common divisor of 340834 and 6682.\n | 26\n | ibivibiv/math_instruct | |
Suppose -4*m - m = 5*c + 25, -3*c + 5*m = 39. Let k be 2 + (-2)/(c/28). Suppose s = 5*u - 15, 3*u = s - 0*s + k. Solve u*g = 2*g - 1 for g.\n | -1\n | ibivibiv/math_instruct | |
Let r = 15 - 10. Calculate the remainder when 9 is divided by r.\n | 4\n | ibivibiv/math_instruct | |
Let r = -20 - -19. Sort 3, -3, r in increasing order.\n | -3, r, 3\n | ibivibiv/math_instruct | |
Let i = 6.065 + -0.875. Let o = i - 0.19. Let d = 2.4 + -3. Which is the nearest to 0? (a) d (b) o (c) -3\n | a\n | ibivibiv/math_instruct | |
Suppose -7 - 3 = -p. Suppose 2*b - p = 7*b. List the prime factors of b/((-6)/(-9))*-1.\n | 3\n | ibivibiv/math_instruct | |
Calculate prob of sequence wn when two letters picked without replacement from wnetg.\n | 1/20\n | ibivibiv/math_instruct | |
What is the billions digit of 1964549665?\n | 1\n | ibivibiv/math_instruct | |
Is -1 at most as big as -76/1959351?\n | True\n | ibivibiv/math_instruct | |
Evaluate ((-4)/(-88))/(3/(-12)).\n | -2/11\n | ibivibiv/math_instruct | |
Three letters picked without replacement from {n: 7, d: 7}. Give prob of picking 1 d and 2 n.\n | 21/52\n | ibivibiv/math_instruct | |
Let y(w) = -w**2 + 74*w + 1459. What is y(-18)?\n | -197\n | ibivibiv/math_instruct | |
Suppose 5*o + 10 = 0, -r + 40 - 1 = 5*o. Suppose r*f = 55*f - 21954. Is f a prime number?\n | True\n | ibivibiv/math_instruct | |
Calculate prob of picking 1 z and 1 k when two letters picked without replacement from kkkzkkkkkkkkkkkkkkkk.\n | 1/10\n | ibivibiv/math_instruct | |
Let q = -32 - -37. Suppose 0*w + 22 = 5*u + 2*w, -q*u + 3*w = -17. Suppose 3*g - 2*l + 20 = 8*g, -20 = -u*l. What are the prime factors of g?\n | 2\n | ibivibiv/math_instruct | |
Calculate the common denominator of 85/8 and -111/56.\n | 56\n | ibivibiv/math_instruct | |
Two letters picked without replacement from {v: 1, e: 3, k: 4, y: 2}. What is prob of sequence ky?\n | 4/45\n | ibivibiv/math_instruct | |
Is 4654697 prime?\n | True\n | ibivibiv/math_instruct | |
Let i(l) = l**3 - 5*l**2 - 6*l + 37. Let s be i(5). Solve -25 = -5*q + 5*a, s*q - 6*q = -a - 5 for q.\n | 0\n | ibivibiv/math_instruct | |
Let m(x) = 56*x + 5465. Give m(-100).\n | -135\n | ibivibiv/math_instruct | |
Suppose -195 + 1084 = t. Suppose y + w = 4*y - 533, -5*y + w = -t. Let o = -108 + y. Calculate the remainder when o is divided by 24.\n | 22\n | ibivibiv/math_instruct | |
Is -239334 > -239334?\n | False\n | ibivibiv/math_instruct | |
Collect the terms in 2*y**3 + y - 2*y**3 - 6*y**3 - 5*y + 2.\n | -6*y**3 - 4*y + 2\n | ibivibiv/math_instruct | |
What is the value of (148/(-111))/(2/3)?\n | -2\n | ibivibiv/math_instruct |
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