instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Is 4079023031 a composite number?\n | False\n | ibivibiv/math_instruct | |
Let h(k) = 4*k - 16. Let o be h(12). Let b = o - -30. List the prime factors of b.\n | 2, 31\n | ibivibiv/math_instruct | |
Let h = -60/11 - -475/77. Calculate the common denominator of h and (5190/56)/15 + -8 + 4.\n | 28\n | ibivibiv/math_instruct | |
What is the value of (54/(-405))/((-12)/(-75))?\n | -5/6\n | ibivibiv/math_instruct | |
Which is smaller: 514/103 or 6?\n | 514/103\n | ibivibiv/math_instruct | |
What is the millions digit of 49024369?\n | 9\n | ibivibiv/math_instruct | |
(-7 + 2 - (-3 + -2 + 69 + -69)) + 9\n | 9\n | ibivibiv/math_instruct | |
Find v such that 2*v**5/5 + 266*v**4/5 + 6908*v**3/5 - 26372*v**2 + 241922*v/5 - 117238/5 = 0.\n | -73, 1, 11\n | ibivibiv/math_instruct | |
Expand -4*u + 32 - 32 + (-u - 2*u + u)*(0 + 0 + 1) + 0 + u + 0 + (0*u + 4*u - 3*u)*(-11 + 0 - 2).\n | -18*u\n | ibivibiv/math_instruct | |
What is the closest to 0.0594 in 0.1, 4, -2?\n | 0.1\n | ibivibiv/math_instruct | |
b"What is the uth term of 1470, 3180, 4890, 6600, 8310?\n" | 1710*u - 240\n | ibivibiv/math_instruct | |
What is 9271400 rounded to the nearest 100000?\n | 9300000\n | ibivibiv/math_instruct | |
Calculate the smallest common multiple of 1640058 and 1020.\n | 16400580\n | ibivibiv/math_instruct | |
Calculate prob of sequence jf when two letters picked without replacement from {j: 2, f: 3, o: 1, y: 1}.\n | 1/7\n | ibivibiv/math_instruct | |
What is the value of -1 - ((10 - -1) + -11 + 5)?\n | -6\n | ibivibiv/math_instruct | |
Suppose 0 = 2*i - 2*y - 24, 10*y = -3*i + 6*y + 1. Solve -3*c = -2*l - 12, 5*c - i*c + 8 = -5*l for l.\n | 0\n | ibivibiv/math_instruct | |
Is 71 a factor of 1497?\n | False\n | ibivibiv/math_instruct | |
Let q be (1/2)/((-3)/(-30)). Let a(l) = 0*l - q*l**2 + 7*l + 0*l**2. Let w(y) = 2*y**2 - 3*y. Let o = 133 - 140. What is o*w(n) - 3*a(n)?\n | n**2\n | ibivibiv/math_instruct | |
What is 2.318058 centimeters in meters?\n | 0.02318058\n | ibivibiv/math_instruct | |
1 * -0.129\n | -0.129\n | ibivibiv/math_instruct | |
Let l be 2 - 1 - (40/(-8) + 4). Solve -13 = -4*y + a - 2*a, -l*y + 4*a + 2 = 0 for y.\n | 3\n | ibivibiv/math_instruct | |
Let m(q) = 31*q**3 + q**2 - 2*q + 2. Suppose -4*i = 2 - 6. Let a be m(i). What is the highest common factor of 152 and a?\n | 8\n | ibivibiv/math_instruct | |
What is 416/(-72) + 6 - 748/153?\n | -14/3\n | ibivibiv/math_instruct | |
Calculate prob of picking 2 o when two letters picked without replacement from ggoooooooooooogooooo.\n | 68/95\n | ibivibiv/math_instruct | |
Simplify ((-1 + sqrt(480)/(sqrt(20)/sqrt(2)))**2 + -2 - ((sqrt(480)/(sqrt(40)/sqrt(4)) - sqrt(336)/(sqrt(21)/sqrt(3)))**2 + -4))*5.\n | -40*sqrt(3) + 255\n | ibivibiv/math_instruct | |
Let a be (15/25)/(20/(-10) + (3 - 4)). What is the closest to 1/4 in -0.5, -2/7, 0.04, a?\n | 0.04\n | ibivibiv/math_instruct | |
What is the lowest common multiple of 28785509 and 18063?\n | 2331626229\n | ibivibiv/math_instruct | |
In base 5, what is -2030 - 10?\n | -2040\n | ibivibiv/math_instruct | |
Suppose -6 + 0 = -3*x. Suppose -6*o - 16 = -x*z - o, 5*z - 40 = -2*o. What is the units digit of z?\n | 8\n | ibivibiv/math_instruct | |
What is 13899425 to the power of 1/7, to the nearest integer?\n | 10\n | ibivibiv/math_instruct | |
Let f(p) = 14*p**2 - 5*p - 4. Let i(x) = 14*x**2 - 6*x - 5. Give -6*f(m) + 5*i(m).\n | -14*m**2 - 1\n | ibivibiv/math_instruct | |
Let o(k) = -7*k**2 - k**2 + 5*k**2. Let i(x) be the first derivative of -6*x**2 + 3*x**2 + 1 + 2*x**2. Determine o(i(q)).\n | -12*q**2\n | ibivibiv/math_instruct | |
What is 42723 divided by -14241?\n | -3\n | ibivibiv/math_instruct | |
Solve -h + 99 = 96 for h.\n | 3\n | ibivibiv/math_instruct | |
Let c be -3 - (-7)/720*309. Let u(a) be the third derivative of 1/24*a**3 + 0 - 1/48*a**4 + 0*a**5 + 0*a - 1/840*a**7 + c*a**6 - 11*a**2. Factor u(n).\n | -(n - 1)**3*(n + 1)/4\n | ibivibiv/math_instruct | |
Let g = 12426 + -111832/9. What is the fourth biggest value in -3, 2.51, -1, 0, g?\n | -1\n | ibivibiv/math_instruct | |
What is the third derivative of -36*q - 2*q**3 - 274*q**4 - 2*q**2 - 3*q**4 + 6*q**2 + 52*q + 11*q wrt q?\n | -6648*q - 12\n | ibivibiv/math_instruct | |
Suppose -3*w + 11 = 2. Let q(o) = 10*o - 49. Let a be q(5). Sort 0, w, a in decreasing order.\n | w, a, 0\n | ibivibiv/math_instruct | |
What is the closest to 1/4 in -0.4, -20, -0.138, 0, -1/3?\n | 0\n | ibivibiv/math_instruct | |
Suppose -414341 + 2708153 = 15*h + 119*h. What is the tens digit of h?\n | 1\n | ibivibiv/math_instruct | |
Let p(i) = -i + 2 - 7 + 1 - 3. Let r(h) = 3*h**2 + 5*h. Let k be r(-4). Suppose 6*m + 29 = 3*m + v, -k = 2*m - 5*v. Determine p(m).\n | 2\n | ibivibiv/math_instruct | |
Let x(a) = -3*a**2 - 5*a - 8. Let i(w) = -w**2 - 2*w - 3. Let g(c) = -8*i(c) + 3*x(c). Let o(k) = 4*k - 3. Let q be o(2). Suppose q*v + 0 = 20. What is g(v)?\n | -12\n | ibivibiv/math_instruct | |
Let l = 0.45 + -0.05. What is the nearest to -0.1 in 0, 0.1, l?\n | 0\n | ibivibiv/math_instruct | |
Factor -3*d**2/7 + 27789*d/7 + 55590/7.\n | -3*(d - 9265)*(d + 2)/7\n | ibivibiv/math_instruct | |
What is 911.6109ms in seconds?\n | 0.9116109\n | ibivibiv/math_instruct | |
Let u(r) = r**2 - 15*r + 18. Let v be u(15). Suppose -3*m + v = -12*m. List the prime factors of (9 - (-2)/m)*(-1 + 2).\n | 2\n | ibivibiv/math_instruct | |
Is 603 a factor of 615671234?\n | False\n | ibivibiv/math_instruct | |
Let m(v) = v**3 + 4*v**2 + 2. Let i be m(-4). Is 14*(i - (-3)/6) a composite number?\n | True\n | ibivibiv/math_instruct | |
What is the highest common divisor of 43 and 1161?\n | 43\n | ibivibiv/math_instruct | |
Convert 201014 (base 5) to base 12.\n | 3840\n | ibivibiv/math_instruct | |
-203.2*1\n | -203.2\n | ibivibiv/math_instruct | |
What is the third biggest value in 0.485, -0.3, -2, -4, -5?\n | -2\n | ibivibiv/math_instruct | |
Let m = -11 + 9. Let t = 0.2 - 0.2. Let w = t - -0.4. Which is the biggest value? (a) w (b) -0.5 (c) m\n | a\n | ibivibiv/math_instruct | |
Solve -5*p - 4*d = 221770 - 221839, -2*p + 3*d - 23 = 0 for p.\n | 5\n | ibivibiv/math_instruct | |
Let t be (2 + 3 - (1 - -3))*2. Let h(u) = 22 - 21 - 4*u**3 + 5*u**3 - u - u**t. Determine h(0).\n | 1\n | ibivibiv/math_instruct | |
What is -37444882 minus -153?\n | -37444729\n | ibivibiv/math_instruct | |
Expand (6*o**3 + 0*o**3 - 3*o**3)*(o**2 + 2*o - 2*o) - 4 + 4 + 2*o**5 + 4*o**5 - 2*o**5 - 4*o**5 + (-3 - 1 + 2)*(-o**5 + 5*o**5 - 3*o**5).\n | o**5\n | ibivibiv/math_instruct | |
Simplify 3*((sqrt(18) - sqrt(1800)*1 - sqrt(18))*4)/(-6*-2*sqrt(27)/sqrt(3)).\n | -10*sqrt(2)\n | ibivibiv/math_instruct | |
Let g = -49 - -48. Let h = -0.77 + -0.03. Is g at least as big as h?\n | False\n | ibivibiv/math_instruct | |
Collect the terms in 5*y + 0*y + 2*y - 5*y - 4*y.\n | -2*y\n | ibivibiv/math_instruct | |
Write an educational piece suited for college students related to the following text snippet:
"# Permutations question
• December 19th 2012, 09:16 PM
skg94
Permutations question
1. How many numbers of at most three digits can be created from the digits 0,1,2,3, and 4? I keep getting 68, answer is apparently 69.
i did... | Permutations are arrangements of objects where the order matters. For example, consider arranging the letters A, B, and C. The arrangement "ABC" is different from "BCA." When counting permutations, we need to ensure that we don't count the same arrangement more than once. This concept plays a crucial role in solving b... | ibivibiv/math_instruct | |
Let u(v) = -2*v. Let f(q) = -q - 4. Let p be f(-5). Suppose -o + 11 = 5*r - 2*o, -o = p. Let j(w) = w - w - r*w + 3*w. Give j(u(a)).\n | -2*a\n | ibivibiv/math_instruct | |
What is the third derivative of 172*n**5 - 20365*n**4 - 7*n**3 - 56465*n**2 + 201*n wrt n?\n | 10320*n**2 - 488760*n - 42\n | ibivibiv/math_instruct | |
Suppose -4*s + 21884 = 4*c, -4*s + 27358 = 7*c - 2*c. What is the thousands digit of c?\n | 5\n | ibivibiv/math_instruct | |
What is the lowest common multiple of 181383810 and 9795?\n | 181383810\n | ibivibiv/math_instruct | |
Collect the terms in 13844*n + 6825*n - 2 - 1 - 5075*n.\n | 15594*n - 3\n | ibivibiv/math_instruct | |
Simplify (c**(6/5)*c/(c/c**39*c))**3 assuming c is positive.\n | c**(588/5)\n | ibivibiv/math_instruct | |
Convert -14db18 (base 14) to base 15.\n | -e6178\n | ibivibiv/math_instruct | |
How many decades are there in fifty-five halves of a century?\n | 275\n | ibivibiv/math_instruct | |
What is the result of the following expression?
85.7648 + -66.4048 | 19.3600 | ibivibiv/math_instruct | |
Let a(q) = q**2 - 7*q + 2. Let f be a(7). Suppose -u - f = -2*u. Solve 0*b + 6 = -u*b for b.\n | -3\n | ibivibiv/math_instruct | |
What is the value of (-6 + -1 + 3)/(-3 + 4)?\n | -4\n | ibivibiv/math_instruct | |
What is the smallest value in 4, -7, 0.5, 2/3, 4/9?\n | -7\n | ibivibiv/math_instruct | |
Does 5 divide 7800?\n | True\n | ibivibiv/math_instruct | |
Let s(c) = -c - 19. Let g be s(-24). Suppose -292 = -g*l + 5*y - 62, -2*l + 117 = 3*y. What are the prime factors of l?\n | 3, 17\n | ibivibiv/math_instruct | |
Calculate the highest common factor of 2728550 and 172200.\n | 2050\n | ibivibiv/math_instruct | |
What is the next term in -490691, -490690, -490689?\n | -490688\n | ibivibiv/math_instruct | |
Let q(z) = 271*z + 2. Let l(p) = -2706*p - 21. Let r(f) = 2*l(f) + 21*q(f). Let v(y) = -8*y**2. What is v(r(u))?\n | -622728*u**2\n | ibivibiv/math_instruct | |
What is the nearest to 1 in -1.312, -0.1, 6?\n | -0.1\n | ibivibiv/math_instruct | |
In base 3, what is 22111012 + 10?\n | 22111022\n | ibivibiv/math_instruct | |
What is ((-25466)/80036)/(((-6)/(-2))/6)?\n | -7/11\n | ibivibiv/math_instruct | |
Rearrange (2 - 1 + 2)*(2 + 2 - 6)*(-5 + 5 - 4*i) + (3*i - 2*i - 2*i)*(-1 - 4 - 18) to q*i + w and give q.\n | 47\n | ibivibiv/math_instruct | |
Let h(v) = 3*v**3 + v**2 + 7*v - 7. Let x(d) = 4*d**3 + 8*d - 6. Let j(t) = -5*h(t) + 4*x(t). What is the lowest common multiple of j(6) and 1?\n | 29\n | ibivibiv/math_instruct | |
Solve -3*n + 340 = 346, 5*c = 4*n - 77 for c.\n | -17\n | ibivibiv/math_instruct | |
What is -3902326363 plus -0.4?\n | -3902326363.4\n | ibivibiv/math_instruct | |
Let n(w) = 9*w**2 - 6*w - 4. Let j(d) = -4*d**2 + 3*d + 2. What is -5*j(a) - 2*n(a)?\n | 2*a**2 - 3*a - 2\n | ibivibiv/math_instruct | |
In base 6, what is 2445 + -454?\n | 1551\n | ibivibiv/math_instruct | |
Evaluate (54/8 - 6) + 3/12.\n | 1\n | ibivibiv/math_instruct | |
Suppose 0 = 3*i - 8 - 10. Let o = 8507/5 - 1711. What is the common denominator of 41/(3 - i - -2) and o?\n | 5\n | ibivibiv/math_instruct | |
What is the smallest value in -77, 0.5, -0.3?\n | -77\n | ibivibiv/math_instruct | |
Factor 2*d**2/3 - 14*d/3.\n | 2*d*(d - 7)/3\n | ibivibiv/math_instruct | |
Let a(s) = 6*s - 16. Let v(u) = 581*u + 576. Let b be v(-1). Let h(l) = -5*l + 16. What is b*h(f) - 4*a(f)?\n | f - 16\n | ibivibiv/math_instruct | |
What is the highest common divisor of 90 and 47370?\n | 30\n | ibivibiv/math_instruct | |
Let q(o) = -5*o + 5. Let b be q(-12). Let p = 73 - b. Solve -3*w - w + p = 0 for w.\n | 2\n | ibivibiv/math_instruct | |
Calculate 3 divided by 954.\n | 1/318\n | ibivibiv/math_instruct | |
In base 5, what is -3 - 103421322?\n | -103421330\n | ibivibiv/math_instruct | |
Solve -16*k + 3*g - 59 = -5*k, -8 + 62 = 2*g for k.\n | 2\n | ibivibiv/math_instruct | |
Let t = 1 - -1. Suppose -t*a = 0, -6*y + 15 = -y + 3*a. What is the remainder when 9 is divided by y?\n | 0\n | ibivibiv/math_instruct | |
Convert 632 (base 9) to base 10.\n | 515\n | ibivibiv/math_instruct | |
0.14395*2\n | 0.2879\n | ibivibiv/math_instruct |
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