instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Let c(d) = 44*d. Let n(a) = -6*a**2. Calculate c(n(w)).\n | -264*w**2\n | ibivibiv/math_instruct | |
Let t = 5908/15 - 394. Which is greater: t or -0.14?\n | t\n | ibivibiv/math_instruct | |
Let u = 3 + 0. Solve j = u*j for j.\n | 0\n | ibivibiv/math_instruct | |
Suppose -15*v + 13*v = -4*u - 44, 55 = 4*v + 3*u. Let f(j) = -9*j + 21 - v - 5. Calculate f(1).\n | -9\n | ibivibiv/math_instruct | |
What comes next: 37, 322, 925, 1948, 3493, 5662?\n | 8557\n | ibivibiv/math_instruct | |
Convert -365999a (base 11) to base 16.\n | -61288b\n | ibivibiv/math_instruct | |
What are the prime factors of 22162019?\n | 11, 2014729\n | ibivibiv/math_instruct | |
Let s(m) = -m**2 + 6*m - 1. Let w(q) = -5*q + 131. Let f be 254/10 + 12/(-30). Let a be w(f). Calculate s(a).\n | -1\n | ibivibiv/math_instruct | |
Is 2328862 a prime number?\n | False\n | ibivibiv/math_instruct | |
Solve 5*k + 2*t + 4 = 0, 3*k - t + 8 = -1 for k.\n | -2\n | ibivibiv/math_instruct | |
Which is the smallest value? (a) 3/8 (b) -0.037 (c) -2/11\n | c\n | ibivibiv/math_instruct | |
Let -4*y**4 + 264*y**3 - 3068*y**2 + 7896*y + 11232 = 0. What is y?\n | -1, 6, 9, 52\n | ibivibiv/math_instruct | |
Let v(f) be the third derivative of -f**4/12 + 4*f**3/3 + 2*f**2. Let y(p) = 4*p + 10. Let j(n) = n + 1. Let h(b) = -5*j(b) + y(b). Calculate -8*h(u) + 5*v(u).\n | -2*u\n | ibivibiv/math_instruct | |
Let s(b) = 3*b**2 - 14*b. Let h be s(5). Suppose -2*j - 3*j = -2*u - 116, h*j = -4*u + 128. What is the remainder when 69 is divided by j?\n | 21\n | ibivibiv/math_instruct | |
Let w = 232.8 + -233. Which is the second smallest value? (a) 1/6 (b) 0.5 (c) 3 (d) w\n | a\n | ibivibiv/math_instruct | |
What is 303 minutes after 4:47 AM?\n | 9:50 AM\n | ibivibiv/math_instruct | |
Let l = -20 + 34. Let a = 20 + l. List the prime factors of a.\n | 2, 17\n | ibivibiv/math_instruct | |
In base 12, what is 474 + 2?\n | 476\n | ibivibiv/math_instruct | |
Simplify (-1 + (sqrt(468) + sqrt(52))/sqrt(4) + (1 + sqrt(1872))**2)*5*3.\n | 420*sqrt(13) + 28080\n | ibivibiv/math_instruct | |
0.047 * -0.14\n | -0.00658\n | ibivibiv/math_instruct | |
Let c = -207 + 207.01. What is the second smallest value in c, 5, -1, -4/5?\n | -4/5\n | ibivibiv/math_instruct | |
Three letters picked without replacement from {k: 4, x: 6, q: 1}. Give prob of sequence xkq.\n | 4/165\n | ibivibiv/math_instruct | |
Suppose q - 6 = 3*g + 4*q, 0 = -3*q + 6. Let j(b) = -b**3 - 3*b**2 - 2. Let w be j(g). Let o = -7 + w. What are the prime factors of o?\n | 7\n | ibivibiv/math_instruct | |
Calculate the remainder when 308 is divided by 98.\n | 14\n | ibivibiv/math_instruct | |
What is the smallest common multiple of 535780 and 1055?\n | 113049580\n | ibivibiv/math_instruct | |
Express -67155 - 664*m**2 + 67155 in the form l*m**2 + k*m + j and give l.\n | -664\n | ibivibiv/math_instruct | |
Solve 2*f = -4*p - 36, -45*p + 5*f - 9 = -46*p for p.\n | -11\n | ibivibiv/math_instruct | |
What is the nearest to 0.2 in -3, 5, -2.3, 0.5?\n | 0.5\n | ibivibiv/math_instruct | |
How many minutes are there between 8:23 AM and 7:33 PM?\n | 670\n | ibivibiv/math_instruct | |
Is 785 a multiple of 5?\n | True\n | ibivibiv/math_instruct | |
Suppose 0 = -6*g + g + 65. Suppose 0 = d, 3*z = -4*d + g + 23. Solve -m = -w + 3*m - z, 0 = -w + m for w.\n | 4\n | ibivibiv/math_instruct | |
Expand ((0*f**3 + f**3 - 3*f**3)*(2*f - 2 + 2) - 38*f**2 - 56*f**4 + 38*f**2 + (-f**2 + 3*f**2 + 0*f**2)*(0*f - f**2 + 0*f))*(5 - 4 - 2).\n | 62*f**4\n | ibivibiv/math_instruct | |
Calculate -2 + 11 - (1 - (17 - (1 + -6)) - -13).\n | 17\n | ibivibiv/math_instruct | |
What is the result of the following expression?
-87.5768 * -71.5812 | 6268.8524 | ibivibiv/math_instruct | |
Simplify -6*sqrt(68) + (-1 + sqrt(68) - sqrt(68))**2.\n | -12*sqrt(17) + 1\n | ibivibiv/math_instruct | |
Write an educational piece suited for college students related to the following text snippet:
"# Finding a reduction for two-Subset sum problem
I'd like to prove that the following problem is NP-complete. I'd just like to know what reduction I should do:
Two Subset Sum: Given a set S of integers and an integer T, det... | To prove that a problem is NP-complete, we typically need to show two things: first, that it belongs to the class NP (i.e., given a certificate, we can verify its validity efficiently), and second, that some known NP-complete problem reduces to it. You have been asked to consider the Two Subset Sum problem, which appe... | ibivibiv/math_instruct | |
Convert -4133431411 (base 5) to base 15.\n | -b2d33b\n | ibivibiv/math_instruct | |
Solve -9*o + 15 = -4*o for o.\n | 3\n | ibivibiv/math_instruct | |
Let y be (-45)/3 + (-279)/(-18). Suppose 5*g - 32 = -7. Let x = -0.03 + 0.33. What is the closest to y in g, 3/2, x?\n | x\n | ibivibiv/math_instruct | |
What is 4 plus 41426723131?\n | 41426723135\n | ibivibiv/math_instruct | |
Calculate the common denominator of 13/26576 and -39/6610780.\n | 26443120\n | ibivibiv/math_instruct | |
Calculate prob of sequence aap when three letters picked without replacement from poapooaaaoooao.\n | 5/273\n | ibivibiv/math_instruct | |
How many minutes are there between 9:37 AM and 10:15 AM?\n | 38\n | ibivibiv/math_instruct | |
Collect the terms in -1140*j**2 + 5*j**3 + 1140*j**2.\n | 5*j**3\n | ibivibiv/math_instruct | |
Factor 6*v**3 - 10778028*v**2/7 + 98780296680*v + 28223067600.\n | 6*(v - 128310)**2*(7*v + 2)/7\n | ibivibiv/math_instruct | |
Let v(p) = 7*p**2 - p + 1. Let y(b) = 3*b - b**2 + 0 + 1 + 2*b**2. Let r be y(-3). Suppose r = -3*w + 4. Calculate v(w).\n | 7\n | ibivibiv/math_instruct | |
What is the square root of 2334740 to the nearest integer?\n | 1528\n | ibivibiv/math_instruct | |
Determine t, given that -t**5/3 - 118*t**4/3 - 497*t**3 - 3662*t**2/3 - 2288*t/3 = 0.\n | -104, -11, -2, -1, 0\n | ibivibiv/math_instruct | |
How many seconds are there in 3/5 of a minute?\n | 36\n | ibivibiv/math_instruct | |
Suppose 0 = -5*m - 170 + 110. Let b be (-46)/m + (1 - (-5)/(-6)). Suppose -2*n = p - b, -4*p + 16 = n - 2*n. Solve -3*l + 5*l - 4 = n for l.\n | 2\n | ibivibiv/math_instruct | |
Expand (4 - 1 - 2)*(-6264*j**2 + 3313*j**2 + 3363*j**2 + 5*j**3).\n | 5*j**3 + 412*j**2\n | ibivibiv/math_instruct | |
Sort 5, -1, 723, -0.1.\n | -1, -0.1, 5, 723\n | ibivibiv/math_instruct | |
Two letters picked without replacement from jfffjfjjfjfjf. What is prob of sequence ff?\n | 7/26\n | ibivibiv/math_instruct | |
How many minutes are there between 6:37 PM and 4:19 AM?\n | 582\n | ibivibiv/math_instruct | |
What is the least common multiple of 3242540 and 8660?\n | 1404019820\n | ibivibiv/math_instruct | |
Suppose 163 + 94 = 58*i - 33. Let r(t) = t**2 - 3*t - 3. Let k be r(8). Let x be 8/(-28) - k/(-7). Solve x*b - 5 = i for b.\n | 2\n | ibivibiv/math_instruct | |
Suppose 17*c = 210519 + 202377. What is the units digit of (4/(-3))/((-64)/c)?\n | 6\n | ibivibiv/math_instruct | |
Four letters picked without replacement from emeueueuuzeuueumuum. What is prob of sequence uumz?\n | 3/1292\n | ibivibiv/math_instruct | |
Let f(p) be the second derivative of p**3 - 13*p**2/2 + 3*p - 4057. Suppose 3*j + 3*c = -c + 1, -2*c = -j + 7. Calculate f(j).\n | 5\n | ibivibiv/math_instruct | |
Let u = -48 + 67. What is the first derivative of -u*g + 52 - 2*g - 3*g - g wrt g?\n | -25\n | ibivibiv/math_instruct | |
Calculate the remainder when 566444 is divided by 282.\n | 188\n | ibivibiv/math_instruct | |
Let i = -39970825.00646 + 39970255. Let w = i - -570. Round w to four dps.\n | -0.0065\n | ibivibiv/math_instruct | |
Expand -13*d**2 + 21*d**2 - 48*d**2 + ((d - 1 + 1)*(2 + 2*d - 2) - 3*d**2 + 5*d**2 - 3*d**2 + 61*d - 15*d**2 - 61*d)*(-4 + 4 + 2).\n | -68*d**2\n | ibivibiv/math_instruct | |
Let a be 5/10*(1 - -5). Let s be -2 - 3 - -1*(-6 - -11). Suppose s*o - a*o = -5*d - 2049, -o = -d - 683. Is o a composite number?\n | False\n | ibivibiv/math_instruct | |
Let p(c) be the third derivative of c**5/10 + 2*c**2 - 56*c. Let k(b) = -b**2 - 4*b**2 - 6*b**2. Determine k(p(u)).\n | -396*u**4\n | ibivibiv/math_instruct | |
What is 1952100 divided by 5?\n | 390420\n | ibivibiv/math_instruct | |
Find the common denominator of 25/19 and -10/209.\n | 209\n | ibivibiv/math_instruct | |
What is the seventh root of 4270575 to the nearest integer?\n | 9\n | ibivibiv/math_instruct | |
Let w = -78 - -110. Calculate the least common multiple of w and 2.\n | 32\n | ibivibiv/math_instruct | |
Let s(k) = 2*k**2. Let y(a) = 330*a**2. Determine y(s(h)).\n | 1320*h**4\n | ibivibiv/math_instruct | |
Let l(t) = -t + 2. Let p(q) = -q + 1. Let n(d) = l(d) - 2*p(d). Let h(x) = x**3 - 5*x**2 + 6*x. Let v be h(4). Let k(z) = -2*z - 8 + v. Give n(k(s)).\n | -2*s\n | ibivibiv/math_instruct | |
Evaluate -1 + (0 - (0 + 0)) + (2728 - 2731).\n | -4\n | ibivibiv/math_instruct | |
What comes next: -3212, -6410, -9608?\n | -12806\n | ibivibiv/math_instruct | |
Evaluate $\left\lceil\sqrt{2}\,\right\rceil+\left\lceil\sqrt{22}\,\right\rceil+\left\lceil\sqrt{222}\,\right\rceil$. | We have $\sqrt{2} \approx 1.41$, $\sqrt{22} \approx 4.69$, and $\sqrt{222} \approx 14.90$.
The ceiling function rounds up to the nearest integer, so $\lceil\sqrt{2}\,\rceil = 2$,
$\lceil\sqrt{22}\,\rceil = 5$, and $\lceil\sqrt{222}\,\rceil = 15$.
Therefore, $\lceil\sqrt{2}\,\rceil+\lceil\sqrt{22}\,\rceil+\lceil\sqrt{22... | ibivibiv/math_instruct | |
Which is the closest to 23? (a) -1208 (b) -3/4 (c) 1/11 (d) -1/4\n | c\n | ibivibiv/math_instruct | |
Expand (47 + 17 - 18)*(-3 + 4 + k + 12).\n | 46*k + 598\n | ibivibiv/math_instruct | |
Suppose 79*o + 261 = 82*o. What is the units digit of o?\n | 7\n | ibivibiv/math_instruct | |
What is 535083417 to the power of 1/2, to the nearest integer?\n | 23132\n | ibivibiv/math_instruct | |
Calculate (-45)/(-30)*2/(-12).\n | -1/4\n | ibivibiv/math_instruct | |
List the prime factors of 151194.\n | 2, 3, 113, 223\n | ibivibiv/math_instruct | |
Let p = -59.02 + 59.4003. Round p to 1 decimal place.\n | 0.4\n | ibivibiv/math_instruct | |
Suppose 121*y - 258 = 35*y. Put -3, 7, y, 1 in decreasing order.\n | 7, y, 1, -3\n | ibivibiv/math_instruct | |
Let y(k) be the first derivative of 11*k**7/7 - 2*k**3 + 6. Find the third derivative of y(j) wrt j.\n | 1320*j**3\n | ibivibiv/math_instruct | |
Four letters picked without replacement from lllllllll. Give prob of picking 4 l.\n | 1\n | ibivibiv/math_instruct | |
Let n(z) = -z**3 - 1. What is n(2)?\n | -9\n | ibivibiv/math_instruct | |
Is 17711126266 prime?\n | False\n | ibivibiv/math_instruct | |
Let a(l) = -1 - 54*l**2 + 48*l**2 + 4 - l**3. Let u be a(-6). Let d(s) = 5*s**3 + s**2 - 1. Let h(v) = 4*v**3 + v**2 - 1. Give u*d(n) - 4*h(n).\n | -n**3 - n**2 + 1\n | ibivibiv/math_instruct | |
Let y = 57 + -3. Let g(z) = -y*z**2 + 26*z**2 - 8*z + 8 + 29*z**2. Calculate g(7).\n | 1\n | ibivibiv/math_instruct | |
Factor 4*w**3 + 15432*w**2 + 15420*w - 30856.\n | 4*(w - 1)*(w + 2)*(w + 3857)\n | ibivibiv/math_instruct | |
(84/441)/((-8)/(-6))\n | 1/7\n | ibivibiv/math_instruct | |
Is 1 < -970/34771?\n | False\n | ibivibiv/math_instruct | |
What is 450212613 to the power of 1/8, to the nearest integer?\n | 12\n | ibivibiv/math_instruct | |
Which is the nearest to 1/4? (a) -0.4 (b) -2/9 (c) -34137 (d) 0.3\n | d\n | ibivibiv/math_instruct | |
Let a(p) be the third derivative of 17*p**5/60 - p**4/2 + 5*p**3/6 + p**2. Is a(-7) composite?\n | True\n | ibivibiv/math_instruct | |
Let j(n) = -2*n - 1. Let k be j(1). Let h be 1*3/k*1. Calculate the common denominator of h*1/18*83 and 89/18.\n | 18\n | ibivibiv/math_instruct | |
What is the second derivative of 193*r**2*t**3 - 2*r*t**3 - 33*r + 1 wrt r?\n | 386*t**3\n | ibivibiv/math_instruct | |
What is ((-2289)/(-3))/((-4725)/175*42/(-162))?\n | 109\n | ibivibiv/math_instruct | |
Let g = -141 - -198. Suppose g = 6*q - 3*q. Suppose -9*d - 1252 = -3133. Calculate the highest common divisor of d and q.\n | 19\n | ibivibiv/math_instruct | |
Put -5, -2, -9, 2, 11 in ascending order.\n | -9, -5, -2, 2, 11\n | ibivibiv/math_instruct | |
Let h(o) be the first derivative of -41*o**3/3 - 38*o + 11. Differentiate h(c) wrt c.\n | -82*c\n | ibivibiv/math_instruct |
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