instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
What is 3181084 to the power of 1/6, to the nearest integer?\n | 12\n | ibivibiv/math_instruct | |
Two letters picked without replacement from eii. What is prob of picking 2 e?\n | 0\n | ibivibiv/math_instruct | |
Expand -2*l + 2*l - l + (4 - 1 - 1)*(-l - l - l) + (-2*l + 4*l + 15*l)*(-3 - 3 + 4)*(19 + 28 - 3).\n | -1503*l\n | ibivibiv/math_instruct | |
Let o = 1244 - 1224. Solve 15*v = o*v + 25 for v.\n | -5\n | ibivibiv/math_instruct | |
Let i(n) = n**3 - 3*n**2 + n + 1. Let h be i(0). Let w be ((-42)/(-525))/(9/5 - h). Which is bigger: 0 or w?\n | w\n | ibivibiv/math_instruct | |
In base 4, what is -302 + 3003?\n | 2101\n | ibivibiv/math_instruct | |
Which is smaller: 10488 or 10489?\n | 10488\n | ibivibiv/math_instruct | |
Let m be ((-346)/8)/(16/64). Let i = m + 245. Let y = i - 65. Is y even?\n | False\n | ibivibiv/math_instruct | |
What is the third derivative of -347*f**4 + 27194*f**2 wrt f?\n | -8328*f\n | ibivibiv/math_instruct | |
What is the value of 2/4*(-4)/((-6)/(-48)*-10)?\n | 8/5\n | ibivibiv/math_instruct | |
Suppose 7*c - 40 + 19 = 0. Suppose 4*w - 3*i - 59 = 0, -c*w = w - i - 57. Calculate the smallest common multiple of w and 20.\n | 140\n | ibivibiv/math_instruct | |
Find the common denominator of 41/639 and 46/66385.\n | 597465\n | ibivibiv/math_instruct | |
Let l = 123.72 - 51.72. Sort 0.01, 0, l, -0.5 in ascending order.\n | -0.5, 0, 0.01, l\n | ibivibiv/math_instruct | |
(6/(-4))/(-15 - (-403)/26)\n | -3\n | ibivibiv/math_instruct | |
What is prob of picking 2 a and 2 o when four letters picked without replacement from llljjjollljjjaaajol?\n | 1/1292\n | ibivibiv/math_instruct | |
Collect the terms in -12*m - 90 + 28*m - 11*m.\n | 5*m - 90\n | ibivibiv/math_instruct | |
Which is the biggest value? (a) 4 (b) 2/27 (c) -15/224 (d) -2\n | a\n | ibivibiv/math_instruct | |
Let n = -8093/3 - -2699. Which is the third biggest value? (a) -4 (b) -1/2 (c) 0.4 (d) n\n | b\n | ibivibiv/math_instruct | |
What comes next: 104, -350, -1930, -5200, -10724, -19066?\n | -30790\n | ibivibiv/math_instruct | |
What is the greatest common factor of 102 and 3562962?\n | 102\n | ibivibiv/math_instruct | |
Let s be (-42)/1176*354/(-2). Let g = -46/7 + s. Let w = 4 - 9. Which is the smallest value? (a) -0.3 (b) w (c) g\n | b\n | ibivibiv/math_instruct | |
What is 0.236407 rounded to one decimal place?\n | 0.2\n | ibivibiv/math_instruct | |
Collect the terms in 4*j + 34114 + 34112 + 34104 - 2*j - 102330.\n | 2*j\n | ibivibiv/math_instruct | |
What is 324 minutes before 7:21 PM?\n | 1:57 PM\n | ibivibiv/math_instruct | |
b"What is the wth term of -6123, -6061, -5977, -5859, -5695?\n" | 2*w**3 - w**2 + 51*w - 6175\n | ibivibiv/math_instruct | |
Expand 2*y**5 + 2*y**5 - 2*y**5 - 3*y**5 + 4*y**5 - 3*y**5 + y**5 + y**5 - 3*y**5 + 0 - 3*y**5 + 0 + (-2*y + y**4 + 2*y)*(2*y + y - y) - 7*y**5 - 3*y**5 + y**5.\n | -11*y**5\n | ibivibiv/math_instruct | |
Solve -68 = -9*q - 2*o + 47, 3*q + o = -4*o + 34 for q.\n | 13\n | ibivibiv/math_instruct | |
Calculate the greatest common divisor of 338 and 13281008.\n | 26\n | ibivibiv/math_instruct | |
Let x(v) = -7*v**2. Let j(a) = -a - 1. Let w(o) be the first derivative of -5*o**2 - 5*o + 11. Let m(l) = -5*j(l) + w(l). What is m(x(b))?\n | 35*b**2\n | ibivibiv/math_instruct | |
What is the hundreds digit of 22536516?\n | 5\n | ibivibiv/math_instruct | |
Express 44*u**3 - 3204*u - 3 + 3204*u as x*u**2 + y*u + l + j*u**3 and give y.\n | 0\n | ibivibiv/math_instruct | |
Does 14 divide 38672?\n | False\n | ibivibiv/math_instruct | |
What is 1.513236 rounded to 1 decimal place?\n | 1.5\n | ibivibiv/math_instruct | |
What is next in -165, -67, 103, 351, 683?\n | 1105\n | ibivibiv/math_instruct | |
Express 16*z**2 + 0*z + 13*z**3 + 11*z**3 - 22*z**3 + z in the form k + o*z**3 + m*z + f*z**2 and give f.\n | 16\n | ibivibiv/math_instruct | |
What is the value of (144/(-576))/((-5)/8)*13/2?\n | 13/5\n | ibivibiv/math_instruct | |
86/(-129)*(-72)/2*(-2)/(-3)\n | 16\n | ibivibiv/math_instruct | |
Determine v so that 5*v**4 + 4365*v**3 - 157460*v**2 + 1309140*v + 1470960 = 0.\n | -908, -1, 18\n | ibivibiv/math_instruct | |
Suppose -5*q = -5*t + 115, 4*t + 6*q - 62 = 4*q. Suppose 10 = -5*n - 4*o, o + 2*o + 23 = 4*n. Calculate the greatest common divisor of n and t.\n | 2\n | ibivibiv/math_instruct | |
Simplify (2*sqrt(15) - sqrt(15))/sqrt(5) + (sqrt(36) - (sqrt(36) - sqrt(72)/sqrt(2)))/sqrt(12) + 2.\n | 2 + 2*sqrt(3)\n | ibivibiv/math_instruct | |
Sort 2/31, -2, -10, 0.17, 0.2.\n | -10, -2, 2/31, 0.17, 0.2\n | ibivibiv/math_instruct | |
Let g = 74.5 + -874.5. Let l = 799 + g. Which is the third smallest value? (a) -3/13 (b) -0.5 (c) -2 (d) l\n | b\n | ibivibiv/math_instruct | |
Let m be 21 - (-3 + 1 + -2). Let j = m - 23. Solve 2*b - 9 = 5*b + j*k, 0 = -2*b + 5*k + 13 for b.\n | -1\n | ibivibiv/math_instruct | |
What is 432 minutes before 5:16 AM?\n | 10:04 PM\n | ibivibiv/math_instruct | |
Solve 0*v = v - 4 for v.\n | 4\n | ibivibiv/math_instruct | |
Suppose -55 = 4*j - 19. Let o(f) = -21*f - 32. What is the units digit of o(j)?\n | 7\n | ibivibiv/math_instruct | |
What is the greatest common factor of 661200 and 12400?\n | 400\n | ibivibiv/math_instruct | |
Expand (-2*z**2 + z**2 - z**2)*(3*z - 6 + 6)*(2 + 0 - 4).\n | 12*z**3\n | ibivibiv/math_instruct | |
Suppose -4*f = 2 - 38. Is f a multiple of 7?\n | False\n | ibivibiv/math_instruct | |
Four letters picked without replacement from rffiffflrlf. What is prob of sequence lrfl?\n | 1/330\n | ibivibiv/math_instruct | |
What is the closest to 5.9 in -4, -104, 4, -2/3?\n | 4\n | ibivibiv/math_instruct | |
Solve 4*l = -r + 19 - 108 + 66, 0 = -3*l - 4*r - 92 for l.\n | 0\n | ibivibiv/math_instruct | |
Collect the terms in -13147*y**3 - y + y.\n | -13147*y**3\n | ibivibiv/math_instruct | |
What is the thousands digit of 5240421?\n | 0\n | ibivibiv/math_instruct | |
Let i(q) = 161*q + 800. What is the smallest common multiple of i(-4) and 650?\n | 3900\n | ibivibiv/math_instruct | |
Let i be (-1)/2*(-24 - -2). Suppose 0*t + 5*h = 4*t - i, -4*h - 4 = -2*t. List the prime factors of (t - 8)/((-4)/10).\n | 2, 5\n | ibivibiv/math_instruct | |
Calculate the remainder when 71 is divided by 27.\n | 17\n | ibivibiv/math_instruct | |
What are the prime factors of 1772?\n | 2, 443\n | ibivibiv/math_instruct | |
What is 549 minutes after 11:42 AM?\n | 8:51 PM\n | ibivibiv/math_instruct | |
Sort -5, 3, 191, 10, -1, -3 in ascending order.\n | -5, -3, -1, 3, 10, 191\n | ibivibiv/math_instruct | |
Solve 28*u + 274 = 50 for u.\n | -8\n | ibivibiv/math_instruct | |
What is c in -3*c**4/7 + 690*c**3/7 + 5799*c**2 + 116904*c/7 + 77004/7 = 0?\n | -46, -2, -1, 279\n | ibivibiv/math_instruct | |
What is 0.2 plus -3165904805.991?\n | -3165904805.791\n | ibivibiv/math_instruct | |
Let x(z) = 1323*z**2 + 3*z + 1. Let w(b) = b**2 - 3*b - 2. Determine w(s) + x(s).\n | 1324*s**2 - 1\n | ibivibiv/math_instruct | |
-0.69 times 65\n | -44.85\n | ibivibiv/math_instruct | |
Calculate 470784*22.\n | 10357248\n | ibivibiv/math_instruct | |
Is 48895251 a composite number?\n | True\n | ibivibiv/math_instruct | |
Find the third derivative of 6*i**2*q**3 - 61117*i**2*q**2 + 91*i**2 - 2*i*q**3 - 519496*q**3 wrt q.\n | 36*i**2 - 12*i - 3116976\n | ibivibiv/math_instruct | |
Let g = -242 - -173. Let v = 50.5 + g. Round v to 0 dps.\n | -19\n | ibivibiv/math_instruct | |
Let a(y) be the first derivative of 9*y**2/2 - 3. Let c(w) be the first derivative of w**2 + 1239. Give a(c(b)).\n | 18*b\n | ibivibiv/math_instruct | |
Let s(t) = -4*t - 13. Let z be s(-12). Solve o - 11 = -5*h, -z = -0*o + 5*o - 5*h for o.\n | -4\n | ibivibiv/math_instruct | |
Calculate the highest common divisor of 540 and 1005.\n | 15\n | ibivibiv/math_instruct | |
Calculate -11 - (9 + 0 + (-165 - -161)).\n | -16\n | ibivibiv/math_instruct | |
Calculate -5 divided by -92.\n | 5/92\n | ibivibiv/math_instruct | |
Let l = -33.3 + -106.7. Let p = -138.32 - l. What is p rounded to one dp?\n | 1.7\n | ibivibiv/math_instruct | |
Is 4042337 a multiple of 16?\n | False\n | ibivibiv/math_instruct | |
Rearrange -10*s - 1621 + 813 - 2*s**2 + 814 to the form r*s**2 + x*s + o and give o.\n | 6\n | ibivibiv/math_instruct | |
List the prime factors of 1769.\n | 29, 61\n | ibivibiv/math_instruct | |
Let u(f) be the second derivative of -f**5/20 - f**4/12 + f**3/6 + 5*f**2 - f. What is the units digit of u(0)?\n | 0\n | ibivibiv/math_instruct | |
Suppose -8*v + 6*v + 6 = 0. Let w be -6*v*(-2)/9. Let b be (5/3)/((-5)/(-6)). Solve w*c - 14 + 39 = 5*u, b*c = -u - 9 for c.\n | -5\n | ibivibiv/math_instruct | |
Suppose w - 2674 + 188891 = 0. Let x = -120730 - w. Suppose 2*z = -x + 13487. What is z rounded to the nearest 10000?\n | -30000\n | ibivibiv/math_instruct | |
What is -228 divided by -19?\n | 12\n | ibivibiv/math_instruct | |
Which is the fourth biggest value? (a) 14 (b) 0 (c) 3 (d) -5\n | d\n | ibivibiv/math_instruct | |
Simplify -3*sqrt(95)/(sqrt(5) + (sqrt(5) - (sqrt(5) - (sqrt(15)/sqrt(3) + sqrt(5)))*-1)).\n | -3*sqrt(19)\n | ibivibiv/math_instruct | |
Solve -61959*w = -60291*w - 18348 for w.\n | 11\n | ibivibiv/math_instruct | |
Solve 175 = 6*h + 4*t + 223, -24 = 4*t for h.\n | -4\n | ibivibiv/math_instruct | |
Factor 2*u**2/11 + 4546*u/11 - 22685676/11.\n | 2*(u - 2418)*(u + 4691)/11\n | ibivibiv/math_instruct | |
In base 5, what is -3232 + 12?\n | -3220\n | ibivibiv/math_instruct | |
Let q(w) = -w**2 + 3*w - 2. Let v = -17 - -14. Let b be q(v). Calculate the least common multiple of 90 and 3/5 + (-348)/b.\n | 90\n | ibivibiv/math_instruct | |
Express -2256 + 218 - 35829*i - 2*i**4 + 35827*i in the form y*i**4 + d*i**3 + z*i**2 + t + a*i and give a.\n | -2\n | ibivibiv/math_instruct | |
Four letters picked without replacement from mlqqheyymelmylhqlq. What is prob of picking 1 e, 1 l, 1 h, and 1 y?\n | 4/255\n | ibivibiv/math_instruct | |
Let i = -53 - -48. Which is the third smallest value? (a) i (b) -1/9 (c) -0.2\n | b\n | ibivibiv/math_instruct | |
Round 3976300 to the nearest one hundred thousand.\n | 4000000\n | ibivibiv/math_instruct | |
Determine w so that -2*w**3 + 13263*w**2/7 - 6343*w + 31152/7 = 0.\n | 1, 33/14, 944\n | ibivibiv/math_instruct | |
Simplify ((g/(g/g**(-1/4))*g)/(g**11/g)*g/(g/g**(-11))*g**1*g)**(-5/8) assuming g is positive.\n | g**(365/32)\n | ibivibiv/math_instruct | |
Write an educational piece suited for college students related to the following text snippet:
"# How do you call two lines who share an infinite number of points?
There's a word in French for when two lines share an infinite number of points. They're superimposed, and ultimately the same line, but if you see them as t... | In geometry, the idea of two objects being "the same" can take on a few different meanings depending on the context. When it comes to lines, there are several ways to think about equality between two lines. Before diving into these definitions, let's first establish some basic terminology.
In Euclidean space, a line ... | ibivibiv/math_instruct | |
Let s(l) = l**3 + 2*l**2 - l. Let u be s(-2). Let r be ((-4)/8)/(u/(-12)). Solve -2*i = r*i for i.\n | 0\n | ibivibiv/math_instruct | |
Suppose -36 = -p - 3*p. Calculate the highest common divisor of 54 and p.\n | 9\n | ibivibiv/math_instruct | |
Let u(q) be the third derivative of -17*q**9/504 - 13*q**5/60 - 3*q**2. Find the third derivative of u(v) wrt v.\n | -2040*v**3\n | ibivibiv/math_instruct | |
How many meters are there in 52.1539 kilometers?\n | 52153.9\n | ibivibiv/math_instruct |
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