instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
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|---|---|---|---|
Let f(u) be the first derivative of u**6/20 - 3*u**5/10 + 5*u**4/8 - u**3/2 + 6*u + 3. Let n(i) be the first derivative of f(i). Factor n(h).\n | 3*h*(h - 2)*(h - 1)**2/2\n | ibivibiv/math_instruct | |
Let k be 39/10 + (-1)/(-10). Let j be (1 + k/(-3))*-3*55. Suppose 0 = 6*c - c - 55. What is the greatest common divisor of j and c?\n | 11\n | ibivibiv/math_instruct | |
What is 330358997 to the power of 1/2, to the nearest integer?\n | 18176\n | ibivibiv/math_instruct | |
b"What is the zth term of 717, 719, 721, 723, 725?\n" | 2*z + 715\n | ibivibiv/math_instruct | |
Suppose -21*k + 374 = k. Calculate the greatest common divisor of 221 and k.\n | 17\n | ibivibiv/math_instruct | |
Let k be 8/6 - ((-388)/(-12) - 3). Let g be ((-5)/(-4))/(-5) + (-679)/k. Suppose 9*s - s - g = 0. Solve -2 = -s*d + d for d.\n | 1\n | ibivibiv/math_instruct | |
What is 570 minutes before 6:08 AM?\n | 8:38 PM\n | ibivibiv/math_instruct | |
What is 1228332 to the power of 1/2, to the nearest integer?\n | 1108\n | ibivibiv/math_instruct | |
Calculate the remainder when 895097 is divided by 298346.\n | 59\n | ibivibiv/math_instruct | |
Let m = 817422/11 - 74196. Let i be ((-6)/(-2))/((-3)/(-113)). Let z = i - m. Find the common denominator of z and -14/3.\n | 33\n | ibivibiv/math_instruct | |
Is 1361 composite?\n | False\n | ibivibiv/math_instruct | |
What is the units digit of 3102025?\n | 5\n | ibivibiv/math_instruct | |
What is the biggest value in 1.2, 0.123, -2?\n | 1.2\n | ibivibiv/math_instruct | |
Which is smaller: -1 or -5/989?\n | -1\n | ibivibiv/math_instruct | |
Solve 5*i = 19023*z - 19025*z - 16, 2*i = 10*z + 188 for i.\n | 4\n | ibivibiv/math_instruct | |
Collect the terms in -107*k**3 + 321*k**3 - 107*k**3 - 106*k**3.\n | k**3\n | ibivibiv/math_instruct | |
Three letters picked without replacement from aababhvbaibbbai. Give prob of sequence hbv.\n | 1/455\n | ibivibiv/math_instruct | |
Let f = 1609 + -1609.152. What is the smallest value in 1, -0.1, f, 0.1?\n | f\n | ibivibiv/math_instruct | |
Suppose r - 14 = -r. Let x = 21 - -9. What is the units digit of x + r/(21/(-12))?\n | 6\n | ibivibiv/math_instruct | |
Divide -6045 by 3.\n | -2015\n | ibivibiv/math_instruct | |
What is p in -3*p**2 - 79128*p - 521770032 = 0?\n | -13188\n | ibivibiv/math_instruct | |
Four letters picked without replacement from tttudffdtd. What is prob of picking 3 d and 1 u?\n | 1/210\n | ibivibiv/math_instruct | |
Let j be 5 - 6 - -1*2. Suppose -5*w = 3*h + 5, 8*h - w = 3*h + j. Let u = -1 - h. Which is smaller: u or 0?\n | u\n | ibivibiv/math_instruct | |
Which is the closest to 0.7? (a) -0.731 (b) -17.3 (c) 1/10\n | c\n | ibivibiv/math_instruct | |
What is -21006 (base 8) in base 16?\n | -2206\n | ibivibiv/math_instruct | |
In base 13, what is 1841 + 2397?\n | 3c08\n | ibivibiv/math_instruct | |
What is -1 + -19 - (6 - (3 - -1) - 4)?\n | -18\n | ibivibiv/math_instruct | |
Suppose 76 = -9*a + 11*a. Calculate the remainder when 264 is divided by a.\n | 36\n | ibivibiv/math_instruct | |
Let z(c) be the second derivative of 0*c**2 + 0 - 3*c + 1/3*c**3. Let s(w) = -2*w + w - 2*w. Determine z(s(f)).\n | -6*f\n | ibivibiv/math_instruct | |
What is the value of ((-5)/(-3))/(-28 + 33)?\n | 1/3\n | ibivibiv/math_instruct | |
Let p(t) = -35*t**2 + 52*t + 46. Determine p(2).\n | 10\n | ibivibiv/math_instruct | |
Calculate the greatest common divisor of 480717 and 527.\n | 31\n | ibivibiv/math_instruct | |
What comes next: 246244, 246274, 246304, 246334, 246364?\n | 246394\n | ibivibiv/math_instruct | |
Let k(u) be the first derivative of -3*u**3 + 2462. Let o(m) = 23*m + 1. Determine k(o(y)).\n | -4761*y**2 - 414*y - 9\n | ibivibiv/math_instruct | |
Total of 45399.279786 and -2.7.\n | 45396.579786\n | ibivibiv/math_instruct | |
Suppose 0 = 23*y - 12*y - 33. Solve -x = 2*a - 3 + 2, -y*a + 9 = 4*x for a.\n | -1\n | ibivibiv/math_instruct | |
What is 1511204.5902 less than -20211?\n | -1531415.5902\n | ibivibiv/math_instruct | |
Let n(p) = p. Let o(i) = -812 + 343 - 785 - 630 + i. What is o(n(d))?\n | d - 1884\n | ibivibiv/math_instruct | |
How many minutes are there between 10:07 AM and 10:01 PM?\n | 714\n | ibivibiv/math_instruct | |
Let t(f) = 7*f. Let u be 8/1 + -4 - 2. Let w(o) = -2*o**2 + o**2 + o**u - 2*o**2. Determine t(w(b)).\n | -14*b**2\n | ibivibiv/math_instruct | |
Let b(i) = 2*i - 8. Let t = 1 - -5. Let d be b(t). Suppose -8 = -5*k + d*k. What are the prime factors of k?\n | 2\n | ibivibiv/math_instruct | |
What is the fourth root of 94550 to the nearest integer?\n | 18\n | ibivibiv/math_instruct | |
Let i(l) = -l**2 - 5*l**2 - 4 + 3*l**2 + 4*l**2. Let j be i(3). Let w = -6 + 12. Solve j*q = -2*h + w*q + 4, -3*h - 8 = -5*q for h.\n | 4\n | ibivibiv/math_instruct | |
Calculate ((-7)/(49/(-7)))/(-1).\n | -1\n | ibivibiv/math_instruct | |
Suppose -12*f + 10021514 = 2029514. Round f to the nearest ten thousand.\n | 670000\n | ibivibiv/math_instruct | |
Calculate the greatest common factor of 798 and 35700924.\n | 798\n | ibivibiv/math_instruct | |
What is the value of (-5028)/103074 + (-1925)/41 + 35?\n | -12\n | ibivibiv/math_instruct | |
How many minutes are there between 7:45 PM and 6:49 AM?\n | 664\n | ibivibiv/math_instruct | |
Let u(v) be the third derivative of v**5/30 + 11*v**2. Let c(z) = z - z - 28*z**2. Determine u(c(n)).\n | 1568*n**4\n | ibivibiv/math_instruct | |
Suppose 0 = -5*j - 13 + 3. Let k(p) be the second derivative of p**3/6 + p**2/2 - 2*p. Let v be k(-3). Is v at least as big as j?\n | True\n | ibivibiv/math_instruct | |
Let d = 97.51 + -97.5. Let z = 5 + 3. What is the closest to z in d, -0.5, 2/5?\n | 2/5\n | ibivibiv/math_instruct | |
Collect the terms in -26235*k + 1193*k + 3045*k.\n | -21997*k\n | ibivibiv/math_instruct | |
What is the result of the following expression?
82.483 + 41.9735 | 124.4565 | ibivibiv/math_instruct | |
Let q = -0.1 + -0.9. Suppose 2*o - 3 = 1, 0 = -2*u + o - 10. Sort -0.3, q, u in decreasing order.\n | -0.3, q, u\n | ibivibiv/math_instruct | |
Find the common denominator of 79/110 and -13/160.\n | 1760\n | ibivibiv/math_instruct | |
Suppose 0 = -2*f + 1 + 3. Suppose -5*m + 200 = -f*m - 5*y, 4*y = -4*m + 256. List the prime factors of m.\n | 5, 13\n | ibivibiv/math_instruct | |
Differentiate -2*r*w**2 - r*w - 33439*r + 3*w**2 - 1355*w with respect to w.\n | -4*r*w - r + 6*w - 1355\n | ibivibiv/math_instruct | |
Solve -2*p = -0*p + 10 for p.\n | -5\n | ibivibiv/math_instruct | |
Write an educational piece suited for college students related to the following text snippet:
"Binomial Probability Word Problem
This problem appears very simple, but I am almost positive that it should not be so simple. For the question below I reason that the probability for part a is 0.6 and part b is 0.6 as well. ... | The binomial probability word problem presented involves probabilistic reasoning and application of certain fundamental principles including the Law of Total Probability and Bayes' theorem. Let us delve into these concepts systematically to understand why your initial answer may not be accurate. We start by defining s... | ibivibiv/math_instruct | |
Let u(f) = f**3 - 6*f**2 + 4*f + 9. Let z be u(3). Which is the closest to 3? (a) -4 (b) z (c) 1\n | c\n | ibivibiv/math_instruct | |
Simplify ((f/f**2*f)/f**(-4))**(-50) assuming f is positive.\n | f**(-200)\n | ibivibiv/math_instruct | |
682.9*-2\n | -1365.8\n | ibivibiv/math_instruct | |
Let g = 6 - 3. Let u be 2/8 - 420/16. Let l = u - -30. Solve 0 = -l*n + 3*k, g*n - k = 2*k for n.\n | 0\n | ibivibiv/math_instruct | |
Collect the terms in 37150*g**3 - 37036*g**3 + 14*g**2 - 11*g**2.\n | 114*g**3 + 3*g**2\n | ibivibiv/math_instruct | |
Let y(v) = v + 4. Let w be y(7). Let f(d) = d**2 - 12*d + 8. Let l be f(w). Is 17 a factor of (-34)/2*(l - -2)?\n | True\n | ibivibiv/math_instruct | |
Let i(a) = a - 7. Let d be i(12). Let k(s) = -5*s**2 + s**3 + 2*s + 2*s**2 + 4 - 3 + d*s**2. Let j be k(-1). What is j rounded to two decimal places?\n | 0\n | ibivibiv/math_instruct | |
Solve s - 17 = -5*m, 2486*m = 2490*m + 5*s - 64 for m.\n | 1\n | ibivibiv/math_instruct | |
Let t = 11 + -11. Let o = 0.4 + t. What is the closest to 0 in -3, o, 0.02?\n | 0.02\n | ibivibiv/math_instruct | |
List the prime factors of 8498.\n | 2, 7, 607\n | ibivibiv/math_instruct | |
Round -0.000002664 to seven decimal places.\n | -0.0000027\n | ibivibiv/math_instruct | |
What is the hundred millions digit of 115667727?\n | 1\n | ibivibiv/math_instruct | |
Suppose -q = 3*b - 2*q - 2844, 2*q - 6 = 0. Let h = b + -416609/439. Let n = h + -5713/1317. Which is smaller: n or -4?\n | n\n | ibivibiv/math_instruct | |
Simplify (x*x*x**9/x)**(-42) assuming x is positive.\n | x**(-420)\n | ibivibiv/math_instruct | |
(-64)/(-28)*-1*175/50\n | -8\n | ibivibiv/math_instruct | |
Work out 9921883 + -0.5.\n | 9921882.5\n | ibivibiv/math_instruct | |
Factor 2*o**3/3 - 248*o**2/3 + 930*o + 3552.\n | 2*(o - 111)*(o - 16)*(o + 3)/3\n | ibivibiv/math_instruct | |
What is the second smallest value in 1/3, -377, 12/13?\n | 1/3\n | ibivibiv/math_instruct | |
Collect the terms in 2*k**2 - 688336046 + 688336046.\n | 2*k**2\n | ibivibiv/math_instruct | |
Let c(d) = d + 1. Let z be c(2). Let r be 2*(z + 63/(-6)). Let b = r - -20. Solve 2*g - 3*v + 11 = 0, b*g + 4*v - v + 17 = 0 for g.\n | -4\n | ibivibiv/math_instruct | |
What is the units digit of 742085775?\n | 5\n | ibivibiv/math_instruct | |
Let b = 248551 - 690018. Let p = -3441467 - b. What is p rounded to the nearest one million?\n | -3000000\n | ibivibiv/math_instruct | |
Which is bigger: 26/5387 or -1/541?\n | 26/5387\n | ibivibiv/math_instruct | |
Round 0.0003791 to 5 dps.\n | 0.00038\n | ibivibiv/math_instruct | |
Solve 76*f + 3*i + i + 16 = 80*f, -4*i - 10 = -f for f.\n | 2\n | ibivibiv/math_instruct | |
Let y(z) = -z**3 - 1. Let f be y(0). Let l be (1 - 1)*(f + 0). Suppose -5*c - 11 + 101 = l. Is 6 a factor of c?\n | True\n | ibivibiv/math_instruct | |
Is 1792753 a prime number?\n | True\n | ibivibiv/math_instruct | |
Let o(i) = 543*i**2 + 5*i. Let k(w) = -18 - 25 + 5*w - 3 + 46. Calculate o(k(h)).\n | 13575*h**2 + 25*h\n | ibivibiv/math_instruct | |
What is -125570 plus 0.08?\n | -125569.92\n | ibivibiv/math_instruct | |
What is 909611.1ug in nanograms?\n | 909611100\n | ibivibiv/math_instruct | |
Collect the terms in 22675990*a - 2 + 2 - 22675985*a.\n | 5*a\n | ibivibiv/math_instruct | |
Divide -5364 by 149.\n | -36\n | ibivibiv/math_instruct | |
Let c = 193 - 374. Let l = c - -180.93. Is l less than or equal to -2/9?\n | False\n | ibivibiv/math_instruct | |
What is next in -578, -696, -834, -998, -1194, -1428, -1706?\n | -2034\n | ibivibiv/math_instruct | |
Suppose 3*i = 12, 2*w + 4*i - 16 = 26. Suppose -2*l + 0*l = 0. Solve -5*v - 7 - w = l for v.\n | -4\n | ibivibiv/math_instruct | |
Let s = 0.3 + -0.1. Let w = -0.044 - 0.056. What is the nearest to 0.1 in w, s, -1?\n | s\n | ibivibiv/math_instruct | |
What comes next: -1895, -7005, -12123, -17249, -22383, -27525?\n | -32675\n | ibivibiv/math_instruct | |
Let j = 1.745 + -0.298. Round j to one decimal place.\n | 1.4\n | ibivibiv/math_instruct | |
Is 4 a factor of 16359?\n | False\n | ibivibiv/math_instruct | |
Let r be 26/46 + (-1)/2. Let z = r - -77/230. Let m be 2/(-24)*(1520/50)/(-19). What is the closest to -0.02 in m, -0.3, z?\n | m\n | ibivibiv/math_instruct | |
-0.01 times 235126\n | -2351.26\n | ibivibiv/math_instruct |
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