instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
In base 3, what is -12 + 1022021210?\n | 1022021121\n | ibivibiv/math_instruct | |
Which is the biggest value? (a) -4 (b) -1 (c) -41 (d) -7\n | b\n | ibivibiv/math_instruct | |
Write an educational piece suited for college students related to the following text snippet:
"You are currently browsing the category archive for the ‘Uncategorized’ category.
Graham’s Number – literally big enough to collapse your head into a black hole
Graham’s Number is a number so big that it would literally col... | The concept of truly large numbers has always fascinated mathematicians and laypeople alike. One such number, known as Graham's Number, is so enormous that contemplating its magnitude leads to mind-bending implications. To gain a foundational understanding of this remarkable figure, let us first explore several mathem... | ibivibiv/math_instruct | |
Suppose 0 = 4*j + 2*j + 6. Let n be (-20)/50*(-10)/j. Find the common denominator of 71/2 and n/6 + (-2275)/600.\n | 24\n | ibivibiv/math_instruct | |
What is -31 - (-10 + 24 + -35)?\n | -10\n | ibivibiv/math_instruct | |
Calculate the remainder when 258 is divided by 24.\n | 18\n | ibivibiv/math_instruct | |
Suppose -2*g + 5*g = 117. Suppose -4*f + 36 = 3*c, 5*f = 5*c - 8*c + g. Solve -4*b - c = -i + 10, -2*b = -4*i + 16 for i.\n | 2\n | ibivibiv/math_instruct | |
Solve -f = -5*f + 24 for f.\n | 6\n | ibivibiv/math_instruct | |
Let m = 7 + -2. Let w be (-3)/(-18) + ((-82)/(-1476))/((-1)/(-6)). Which is the closest to 1? (a) m (b) w (c) -5\n | b\n | ibivibiv/math_instruct | |
Solve -7*i + 8*i - y + 3 = 0, 3*i + 12 = 4*y for i.\n | 0\n | ibivibiv/math_instruct | |
Is 65790383 composite?\n | True\n | ibivibiv/math_instruct | |
Is 7 a factor of 267246?\n | True\n | ibivibiv/math_instruct | |
Sort -5, 728/19, -0.5 in ascending order.\n | -5, -0.5, 728/19\n | ibivibiv/math_instruct | |
What is the smallest common multiple of 32625 and 18125?\n | 163125\n | ibivibiv/math_instruct | |
b"What is the fth term of 10, -35, -120, -251, -434, -675, -980, -1355?\n" | -f**3 - 14*f**2 + 4*f + 21\n | ibivibiv/math_instruct | |
Expand (-391*v**2 - 608*v**2 - 565*v**2 + 561*v**2)*(4 - 4 - 2*v).\n | 2006*v**3\n | ibivibiv/math_instruct | |
Calculate the remainder when 161 is divided by 18.\n | 17\n | ibivibiv/math_instruct | |
What is the highest common divisor of 15614 and 74?\n | 74\n | ibivibiv/math_instruct | |
What is the derivative of -8023*n**4 - 6286 wrt n?\n | -32092*n**3\n | ibivibiv/math_instruct | |
Let x = 6 + -6.7. Let k = -0.8 - x. What is the closest to 1 in k, -1/6, -0.4?\n | k\n | ibivibiv/math_instruct | |
Solve 717 + 153 = 82*w - 24*w for w.\n | 15\n | ibivibiv/math_instruct | |
Let x be (-3 + 0)*1/(-12). Sort 3, 7, x in decreasing order.\n | 7, 3, x\n | ibivibiv/math_instruct | |
Is 20 a factor of 908?\n | False\n | ibivibiv/math_instruct | |
Let 5/3*g**3 - 14/9*g**2 - 4/3*g + g**4 + 8/9 = 0. Calculate g.\n | -2, -1, 2/3\n | ibivibiv/math_instruct | |
b"What is the kth term of 43, 28, -65, -278, -653, -1232, -2057?\n" | -7*k**3 + 3*k**2 + 25*k + 22\n | ibivibiv/math_instruct | |
What is 1396560 to the power of 1/9, to the nearest integer?\n | 5\n | ibivibiv/math_instruct | |
Let -76*z**5 + 1372*z**4 + 166552*z**3 - 4135216*z**2 - 4300320*z = 0. What is z?\n | -930/19, -1, 0, 34\n | ibivibiv/math_instruct | |
Differentiate 2*m**3*q - 3*m**3*w - 711*m**3 + 7*m**2*q*w - 42*m*q**2*w with respect to q.\n | 2*m**3 + 7*m**2*w - 84*m*q*w\n | ibivibiv/math_instruct | |
-67 divided by -6\n | 67/6\n | ibivibiv/math_instruct | |
What is 173 minutes before 1:20 PM?\n | 10:27 AM\n | ibivibiv/math_instruct | |
Suppose 3*s**4 + 6828*s**3 - 41043*s**2 + 75288*s - 41076 = 0. Calculate s.\n | -2282, 1, 2, 3\n | ibivibiv/math_instruct | |
Calculate the smallest common multiple of 120 and 1836.\n | 18360\n | ibivibiv/math_instruct | |
What is the lowest common multiple of 2997 and 1998?\n | 5994\n | ibivibiv/math_instruct | |
Let r = -23486 - -37471. What is the units digit of r?\n | 5\n | ibivibiv/math_instruct | |
In base 5, what is 34 - -1020242?\n | 1020331\n | ibivibiv/math_instruct | |
Collect the terms in 2*t**2 - 8*t + 20*t + 6*t + 27*t.\n | 2*t**2 + 45*t\n | ibivibiv/math_instruct | |
What is 353 minutes before 3:26 PM?\n | 9:33 AM\n | ibivibiv/math_instruct | |
Two letters picked without replacement from {n: 7, c: 6}. What is prob of picking 2 c?\n | 5/26\n | ibivibiv/math_instruct | |
Product of -34.814606 and 0.4.\n | -13.9258424\n | ibivibiv/math_instruct | |
Simplify ((r**(1/3))**(8/7))**(4/31) assuming r is positive.\n | r**(32/651)\n | ibivibiv/math_instruct | |
Simplify (sqrt(187) - -5*(sqrt(187)*2 - sqrt(187)) - 1*sqrt(187)*-1)/(((sqrt(121)*3*-3 - sqrt(121)) + sqrt(121) + sqrt(121))/sqrt(11))*1.\n | -7*sqrt(17)/8\n | ibivibiv/math_instruct | |
Collect the terms in -6598*l**2 + 3303*l**2 + 3289*l**2.\n | -6*l**2\n | ibivibiv/math_instruct | |
What are the prime factors of 203873?\n | 203873\n | ibivibiv/math_instruct | |
Let l(g) = g**3 - 5*g**2 - g + 2. Let n be 174 - 164 - ((-1)/1 - -5). What is l(n)?\n | 32\n | ibivibiv/math_instruct | |
What is the greatest common divisor of 33 and 528?\n | 33\n | ibivibiv/math_instruct | |
Express (-4*o - 2*o - 7 + 4*o)*(-2*o**2 + o - o + (3*o - 4*o + 3*o)*(-2 + 2 - 2*o)) as m + j*o**2 + p*o**3 + s*o and give j.\n | 42\n | ibivibiv/math_instruct | |
Express -20*c**2 - 14*c**2 + 15*c**2 as v + y*c + t*c**2 and give t.\n | -19\n | ibivibiv/math_instruct | |
What is the hundreds digit of 23842551?\n | 5\n | ibivibiv/math_instruct | |
Expand (-477*h**3 - 204*h**3 + 29*h**3)*(-2*h**2 + 3*h**2 - 2*h**2).\n | 652*h**5\n | ibivibiv/math_instruct | |
Let o(d) = 26*d - 1281. Let z be o(49). Put z, 1, 34, -1 in ascending order.\n | z, -1, 1, 34\n | ibivibiv/math_instruct | |
What is the second derivative of -12*g**3 - 711907*g**2 + 632954*g - 9 wrt g?\n | -72*g - 1423814\n | ibivibiv/math_instruct | |
Let r(z) = -9*z - 12. Let i be r(5). Let y = i + 361. What is the tens digit of y?\n | 0\n | ibivibiv/math_instruct | |
What is the third smallest value in 278/9, 943/3, -0.2?\n | 943/3\n | ibivibiv/math_instruct | |
Two letters picked without replacement from fffqffqfqqqf. Give prob of sequence ff.\n | 7/22\n | ibivibiv/math_instruct | |
What is 35.53334 micrograms in nanograms?\n | 35533.34\n | ibivibiv/math_instruct | |
Suppose 2*s - 60 - 108 = -m, 0 = -5*m + 5*s + 810. What is the remainder when m is divided by 65?\n | 34\n | ibivibiv/math_instruct | |
Calculate prob of sequence cq when two letters picked without replacement from {g: 2, q: 1, m: 1, a: 7, c: 4}.\n | 2/105\n | ibivibiv/math_instruct | |
Expand (a**2 - a**2 - a**3)*(-1 + 1 + 2*a**2) - a**5 + 61*a**3 - 2*a**4 + 3*a**4 + 2*a - 69*a**3.\n | -3*a**5 + a**4 - 8*a**3 + 2*a\n | ibivibiv/math_instruct | |
Put 36, -11, 83, 3, 0 in descending order.\n | 83, 36, 3, 0, -11\n | ibivibiv/math_instruct | |
Let i(s) = -s**3 - 303*s**2 - 665*s - 18954. What is i(-301)?\n | 9\n | ibivibiv/math_instruct | |
Simplify (-5 + -5 + (sqrt(1088) + -1)**2)*-1.\n | -1079 + 16*sqrt(17)\n | ibivibiv/math_instruct | |
What are the prime factors of 9363404?\n | 2, 29, 53, 1523\n | ibivibiv/math_instruct | |
Suppose 78*m**2/7 - 69*m/7 - 9/7 = 0. What is m?\n | -3/26, 1\n | ibivibiv/math_instruct | |
Is 15 a factor of 67605?\n | True\n | ibivibiv/math_instruct | |
b"What is the ath term of 410211, 410103, 409931, 409701, 409419, 409091, 408723, 408321?\n" | a**3 - 38*a**2 - a + 410249\n | ibivibiv/math_instruct | |
Factor 3*o**2/2 + 4808667*o - 9617337/2.\n | 3*(o - 1)*(o + 3205779)/2\n | ibivibiv/math_instruct | |
Calculate prob of picking 2 n when two letters picked without replacement from {p: 2, d: 1, n: 2, l: 1}.\n | 1/15\n | ibivibiv/math_instruct | |
Are -319 and 2 equal?\n | False\n | ibivibiv/math_instruct | |
What is prob of picking 1 s and 2 p when three letters picked without replacement from cccipsccpjismss?\n | 4/455\n | ibivibiv/math_instruct | |
Suppose -10 = -5*u, 5*g - 42 = g - u. Let b be 4/10 + (-672)/(-70). What is the lowest common multiple of g and 1/(32/b + -3)?\n | 10\n | ibivibiv/math_instruct | |
Solve -3*x - 3333 = -p - 3353, 11*p + 5*x = 8 for p.\n | -2\n | ibivibiv/math_instruct | |
Calculate prob of picking 1 p, 1 a, and 1 k when three letters picked without replacement from pdkaapaxppdppdk.\n | 36/455\n | ibivibiv/math_instruct | |
Let d(i) = 15*i**2 + 227*i + 30. Let y be d(-15). Suppose x + 6 = 4*x. Let t be (-1 + x + -2)*-2. Solve y*h = -2*h + t for h.\n | 1\n | ibivibiv/math_instruct | |
0 + (-4 - 2) + (0 - -1)\n | -5\n | ibivibiv/math_instruct | |
Which is the fourth biggest value? (a) 0.069 (b) -4/7 (c) -2/11 (d) 2 (e) -3 (f) 3.4\n | c\n | ibivibiv/math_instruct | |
Expand (-k - 2*k + 5*k + (0 - 2 + 1)*(-2 - k + 2))*(123 - 144 - 144).\n | -495*k\n | ibivibiv/math_instruct | |
Let h be 2/(-6) + (-5 - (-1623336)/18). Round h to the nearest ten thousand.\n | 90000\n | ibivibiv/math_instruct | |
Let w = 0.5 + -0.49. Let a = w + -0.21. Is 0.1 != a?\n | True\n | ibivibiv/math_instruct | |
What is the tens digit of 1874?\n | 7\n | ibivibiv/math_instruct | |
Express 14*k**3 - 4*k + 2 + 12*k**3 - 28*k**3 in the form t*k**2 + i*k + j + s*k**3 and give i.\n | -4\n | ibivibiv/math_instruct | |
Suppose -r + 1 = -1. Let z be (1 - r)*-13*6. Let j = -11 + z. Is j a composite number?\n | False\n | ibivibiv/math_instruct | |
Simplify (sqrt(28) - sqrt(112)*-2)/(sqrt(144) - (sqrt(144) + (sqrt(144) + sqrt(144)*2 + sqrt(144) - sqrt(144)) + sqrt(144))) - (5 + 3*(sqrt(49)*1)/sqrt(7)).\n | -77*sqrt(7)/24 - 5\n | ibivibiv/math_instruct | |
What is the common denominator of -155/252 and 103/112?\n | 1008\n | ibivibiv/math_instruct | |
Solve -23*b = -98 - 86 for b.\n | 8\n | ibivibiv/math_instruct | |
Let u(j) be the second derivative of 2/3*j**3 + 0 - 19*j**2 + 50*j. Let g be u(10). Solve 3*b + g*b - 20 = 2*z, 2*b - 9 = z for z.\n | -5\n | ibivibiv/math_instruct | |
Let s(k) = -k. Let h be s(-4). Sort 3, -4, -5, h.\n | -5, -4, 3, h\n | ibivibiv/math_instruct | |
Sort -235, 3, 0 in decreasing order.\n | 3, 0, -235\n | ibivibiv/math_instruct | |
What is 111 minutes after 4:27 PM?\n | 6:18 PM\n | ibivibiv/math_instruct | |
Let a = 6 + 8. Suppose 9*y - 9700000 = a*y. What is y rounded to the nearest one hundred thousand?\n | -1900000\n | ibivibiv/math_instruct | |
Suppose 0 = 5*j - 0*j - 5. Suppose 4 + j = o. Does 2 divide o?\n | False\n | ibivibiv/math_instruct | |
Let q be (-5)/15 + (-148)/(-12). Solve 4*x - q = t, -2*t + 8 = -0 for x.\n | 4\n | ibivibiv/math_instruct | |
Round -0.055567 to 4 dps.\n | -0.0556\n | ibivibiv/math_instruct | |
Suppose 0 = -2*h + 15 + 23. Factor 8 - 8 + h*u**2 - 21*u**2 + 2*u**3.\n | 2*u**2*(u - 1)\n | ibivibiv/math_instruct | |
Calculate the remainder when 54 is divided by 14.\n | 12\n | ibivibiv/math_instruct | |
What is 13/7 of a week in minutes?\n | 18720\n | ibivibiv/math_instruct | |
Is 6527921497 composite?\n | True\n | ibivibiv/math_instruct | |
Divide 2267766 by 291.\n | 755922/97\n | ibivibiv/math_instruct | |
Let s(z) = 3*z**2 + 4*z + 5. Let b(a) = 1 + 0 - 2*a - 4 - 2*a**2 + 0*a**2. Suppose -n = -0 + 3. Let q(k) = n*s(k) - 5*b(k). Find t, given that q(t) = 0.\n | 0, 2\n | ibivibiv/math_instruct | |
Differentiate 307438382*p - 203794058 wrt p.\n | 307438382\n | ibivibiv/math_instruct | |
(-2256)/(-40) - ((-182)/(-455))/(1 - 0)\n | 56\n | ibivibiv/math_instruct |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.