instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Solve -13*v - 5 = -8*v for v.\n | -1\n | ibivibiv/math_instruct | |
Let g(l) be the third derivative of 0*l**3 - 3/70*l**7 + 0*l**5 + 0*l + 1/24*l**4 + 0 + 0*l**6 + 7*l**2. Find the second derivative of g(y) wrt y.\n | -108*y**2\n | ibivibiv/math_instruct | |
Put 0, -3, -212, -14 in increasing order.\n | -212, -14, -3, 0\n | ibivibiv/math_instruct | |
What is seventeen halves of a microgram in nanograms?\n | 8500\n | ibivibiv/math_instruct | |
Let s be (-3)/2 - 2/4. Let g(q) = q**3 + 4*q**2 + 3*q - 3. Let b be -3 - 0/(-3)*-1. Let u be g(b). Which is greater: s or u?\n | s\n | ibivibiv/math_instruct | |
What is prob of picking 3 j when three letters picked without replacement from {u: 1, z: 1, h: 2, j: 5, o: 6}?\n | 2/91\n | ibivibiv/math_instruct | |
Is 2406247 composite?\n | True\n | ibivibiv/math_instruct | |
Let c = 1150 + -1152. Suppose t - 28 = 12. Let g = t - 115/3. What is the biggest value in -7, c, g?\n | g\n | ibivibiv/math_instruct | |
Let w(o) = 2*o**2 - 20*o - 17. Suppose 204 = 45*h - 33*h. Is 17 a factor of w(h)?\n | True\n | ibivibiv/math_instruct | |
Let a = 0 + -3. Let v = a - -3.4. Let x = -0.16 - -0.16. Sort -1, v, x.\n | -1, x, v\n | ibivibiv/math_instruct | |
Expand (0 - 4 + 6)*(2 + 1 - 5)*(-3*z + 8*z - z)*(-36 - 69 - 39).\n | 2304*z\n | ibivibiv/math_instruct | |
What is the greatest common divisor of 2049872 and 16?\n | 16\n | ibivibiv/math_instruct | |
Is 3697843 prime?\n | True\n | ibivibiv/math_instruct | |
Suppose -5*b**2 - 395*b - 390 = 0. Calculate b.\n | -78, -1\n | ibivibiv/math_instruct | |
Suppose -11*g + 7*g - 3*r = -12965, -6*r - 6 = 0. List the prime factors of g.\n | 2, 1621\n | ibivibiv/math_instruct | |
Simplify (-6*sqrt(1008)*-2*-1 + 5 + -2*sqrt(1008)*2)**2.\n | -1920*sqrt(7) + 258073\n | ibivibiv/math_instruct | |
Sort 5, 56, 4, 339, 2 in increasing order.\n | 2, 4, 5, 56, 339\n | ibivibiv/math_instruct | |
How many minutes are there between 11:46 PM and 11:34 AM?\n | 708\n | ibivibiv/math_instruct | |
Solve 68039 = 9*k + 67886 for k.\n | 17\n | ibivibiv/math_instruct | |
0.5 times 342\n | 171\n | ibivibiv/math_instruct | |
Let w = -1967.39 + 1966.39. Let o = 3.4 + -0.4. Which is the closest to -1? (a) -11/2 (b) o (c) w\n | c\n | ibivibiv/math_instruct | |
What is 7/2 of a litre in millilitres?\n | 3500\n | ibivibiv/math_instruct | |
Expand (-53 - 32 + 0)*(-19*o**5 + 261*o - 2*o**2 - 261*o).\n | 1615*o**5 + 170*o**2\n | ibivibiv/math_instruct | |
How many minutes are there between 10:35 AM and 5:03 PM?\n | 388\n | ibivibiv/math_instruct | |
Solve -4*y + 10827 = 10727 for y.\n | 25\n | ibivibiv/math_instruct | |
Three letters picked without replacement from {g: 1, i: 2, w: 1, m: 2, s: 1}. Give prob of sequence siw.\n | 1/105\n | ibivibiv/math_instruct | |
Calculate -0.09 + -12.09033008.\n | -12.18033008\n | ibivibiv/math_instruct | |
Calculate the common denominator of 47/30 and -25/145842.\n | 729210\n | ibivibiv/math_instruct | |
Let x = 0 + 0. Let u = 6 + -4. Suppose 2*z + h = u, 0 = -4*z - 0*h - 3*h. Solve -2*g = v - 12 - x, -g - 8 = -z*v for g.\n | 4\n | ibivibiv/math_instruct | |
Simplify (sqrt(28) + sqrt(140)/sqrt(5))*6.\n | 24*sqrt(7)\n | ibivibiv/math_instruct | |
Is 643892123 composite?\n | True\n | ibivibiv/math_instruct | |
Suppose -88*p = -83*p - 3*r - 84, -2*p + r = -33. What is the remainder when 2008 is divided by p?\n | 13\n | ibivibiv/math_instruct | |
What is the result of the following expression?
17.195 % 0.254 | 0.177 | ibivibiv/math_instruct | |
Find the common denominator of 49/171075 and 43/444795.\n | 2223975\n | ibivibiv/math_instruct | |
How many grams are there in 25953.57mg?\n | 25.95357\n | ibivibiv/math_instruct | |
Evaluate ((-7943)/91)/(-13) - (-4)/14.\n | 7\n | ibivibiv/math_instruct | |
What is the closest to 1 in 7, -5/2, -14/3, -2/5?\n | -2/5\n | ibivibiv/math_instruct | |
How many minutes are there between 6:22 PM and 1:16 AM?\n | 414\n | ibivibiv/math_instruct | |
Let t(c) = -c**2 + 9*c + 24. Let f be t(11). Suppose d - 5*x = 34, 0 = -f*d - d - 5*x + 22. Calculate the remainder when (2 - 0)/(2/41) is divided by d.\n | 13\n | ibivibiv/math_instruct | |
Solve -2*u - 12 = -4*w, -4*u = 2*w - 14011 + 14015 for w.\n | 2\n | ibivibiv/math_instruct | |
Let q = -13640.089 - -13640. Is 3/2 >= q?\n | True\n | ibivibiv/math_instruct | |
List the prime factors of 5890337.\n | 5890337\n | ibivibiv/math_instruct | |
Let j(p) = -p**2 - 8*p - 14. What is the remainder when 2 is divided by j(-5)?\n | 0\n | ibivibiv/math_instruct | |
Solve -5*r - n - 15 = 0, -21*r + 2*n = -18*r + 9 for r.\n | -3\n | ibivibiv/math_instruct | |
Determine i, given that -i**2 - 452*i - 51076 = 0.\n | -226\n | ibivibiv/math_instruct | |
Work out 4337 - -8417222094.\n | 8417226431\n | ibivibiv/math_instruct | |
What is -0.00001263672 rounded to 6 dps?\n | -0.000013\n | ibivibiv/math_instruct | |
Factor 0*u**3 + 23 + 100*u**2 - 215 + 88*u + u**3 + 3*u**3.\n | 4*(u - 1)*(u + 2)*(u + 24)\n | ibivibiv/math_instruct | |
What is the result of the following expression?
37.7425 - 3.5816 | 34.1609 | ibivibiv/math_instruct | |
Calculate the remainder when 2333624 is divided by 194.\n | 192\n | ibivibiv/math_instruct | |
Is 92 at least as big as 96?\n | False\n | ibivibiv/math_instruct | |
Let k be 6 + (-9)/((-315)/(-322)) + 3. Which is the second biggest value? (a) 5 (b) 3/2 (c) k (d) -1\n | b\n | ibivibiv/math_instruct | |
Find the third derivative of 79*i**6 - 12269*i**3*p**2 + 40*i**2*p**2 + 3*i**2*p + 94*i**2 - 6*p**2 wrt i.\n | 9480*i**3 - 73614*p**2\n | ibivibiv/math_instruct | |
Suppose 2*y - 3 = -0*y + b, -5*y = -2*b - 8. Suppose -r - y = -2*l - 14, -20 = 5*l. Solve 18 = r*g - h, -2*h + 16 = 4*g - 4*h for g.\n | 5\n | ibivibiv/math_instruct | |
Express (117 - 54 - 57)*(x - 3*x - 2 + 0*x + (1 - 1 - 2)*(-3*x - x + 2*x)) in the form q + d*x and give d.\n | 12\n | ibivibiv/math_instruct | |
Is 6 + 3021095/25 - (-12)/10 a prime number?\n | True\n | ibivibiv/math_instruct | |
Suppose 192*i = -224 + 32. Put 4084, -3, i in decreasing order.\n | 4084, i, -3\n | ibivibiv/math_instruct | |
Suppose -11 = 8*o + 13. Let v be o - (-3)/(4/(24/9)). Which is the second biggest value? (a) v (b) 2/5 (c) 3\n | b\n | ibivibiv/math_instruct | |
Does 3 divide 1613?\n | False\n | ibivibiv/math_instruct | |
Expand (4*m + m + 1 - 6*m)*(-10 - 19 - 43)*(-3*m**3 + 3*m**3 + m**3) + 3*m**4 + 1 - 1.\n | 75*m**4 - 72*m**3\n | ibivibiv/math_instruct | |
Rearrange -3*k**3 + 5*k**3 + 1 - 4*k + k to the form m + p*k**2 + h*k**3 + x*k and give h.\n | 2\n | ibivibiv/math_instruct | |
Let r(s) = -3*s**2 - 3*s - 1. Let y be r(-1). Let f be 0/(y - -4) - -5. Solve 0 = 3*u + m - 13, 35 = 3*u + 2*u + f*m for u.\n | 3\n | ibivibiv/math_instruct | |
What is the seventh root of 1785851 to the nearest integer?\n | 8\n | ibivibiv/math_instruct | |
Let t(m) = -21*m. Let z(b) = b**2 + 28*b + 44. Give z(t(q)).\n | 441*q**2 - 588*q + 44\n | ibivibiv/math_instruct | |
Let f = 13/28 + 1/28. Which is the nearest to -0.3? (a) -6 (b) f (c) 0.4 (d) 4\n | c\n | ibivibiv/math_instruct | |
Simplify (2*sqrt(99)/(3*sqrt(3))*-4)/((-4*sqrt(88)/sqrt(2))/(-5*sqrt(4)*-2)).\n | 20*sqrt(3)/3\n | ibivibiv/math_instruct | |
Evaluate -15 - (-12 + -4) - -8.\n | 9\n | ibivibiv/math_instruct | |
Let h = 8/13 + -82/91. Put 0.19, -4, h in decreasing order.\n | 0.19, h, -4\n | ibivibiv/math_instruct | |
In base 12, what is -33 - -7?\n | -28\n | ibivibiv/math_instruct | |
Let c = 385 - -562. Is c composite?\n | False\n | ibivibiv/math_instruct | |
What is the highest common divisor of 29 and 1073?\n | 29\n | ibivibiv/math_instruct | |
Let n(y) = y**3 + 5*y**2 - 2*y. Suppose -4*x - 32 + 12 = 0. Determine n(x).\n | 10\n | ibivibiv/math_instruct | |
Calculate the remainder when 292 is divided by 37.\n | 33\n | ibivibiv/math_instruct | |
What is the thousands digit of 130533?\n | 0\n | ibivibiv/math_instruct | |
Two letters picked without replacement from {g: 1, i: 1, h: 1, t: 2, z: 2}. What is prob of picking 1 g and 1 h?\n | 1/21\n | ibivibiv/math_instruct | |
Solve 0 = 15*l + 23*l for l.\n | 0\n | ibivibiv/math_instruct | |
0.24 + 1.79\n | 2.03\n | ibivibiv/math_instruct | |
Is 18355 a composite number?\n | True\n | ibivibiv/math_instruct | |
Is 83454071 a multiple of 559?\n | False\n | ibivibiv/math_instruct | |
What is next in -259624, -259632, -259654, -259696, -259764, -259864, -260002, -260184?\n | -260416\n | ibivibiv/math_instruct | |
In base 11, what is -1433 - -7529?\n | 60a6\n | ibivibiv/math_instruct | |
Let l = 2 - -24. Let s be (2/2)/((-4)/(-44)). Let t = 17 - s. Solve 5*i = -2*v, -5*i = -2*v - t + l for v.\n | 5\n | ibivibiv/math_instruct | |
What is 532 minutes before 2:40 AM?\n | 5:48 PM\n | ibivibiv/math_instruct | |
Let s be (-1 - 12) + 2 + -1. Let i = -399 - -386. Which is smaller: i or s?\n | i\n | ibivibiv/math_instruct | |
What are the prime factors of 1544277?\n | 3, 7, 151, 487\n | ibivibiv/math_instruct | |
Suppose 0 = -3*u + 2*u + 3. Let s(o) = 0*o**2 + o**2 - 10*o + 4*o - 1 - u. List the prime factors of s(7).\n | 3\n | ibivibiv/math_instruct | |
Let s = -24 - -28. Suppose -s*a = -3*c - 0*c + 44, -2*a = 2*c - 20. Let t be c/(-42)*(-7)/2. Solve 6 = f + t for f.\n | 5\n | ibivibiv/math_instruct | |
What is the eighth root of 2300854 to the nearest integer?\n | 6\n | ibivibiv/math_instruct | |
What is -19195300 rounded to the nearest 100000?\n | -19200000\n | ibivibiv/math_instruct | |
Let u be 184/345*(-3)/(-2). Let z = -11.5 + 5.6. Let o = -5.9 - z. Which is the nearest to o? (a) 0 (b) u (c) 2\n | a\n | ibivibiv/math_instruct | |
Simplify ((1 + -1 + sqrt(272) + 4 + sqrt(272) + 1 + sqrt(272) + 0 + -5 + 5)*-1)**2*-5.\n | -12365 - 600*sqrt(17)\n | ibivibiv/math_instruct | |
Divide 2924060 by 731015.\n | 4\n | ibivibiv/math_instruct | |
Is -80 smaller than -8964/113?\n | True\n | ibivibiv/math_instruct | |
Expand (0*s - s + 2*s)*(-3 + 0 + 4)*((3 - 4 - 4)*(-2 + 4 - 3) - 1 + 2 - 3).\n | 3*s\n | ibivibiv/math_instruct | |
Three letters picked without replacement from {u: 5, n: 6, l: 1, e: 5}. What is prob of sequence nlu?\n | 1/136\n | ibivibiv/math_instruct | |
Collect the terms in 1413 - 1413 + 47430*u.\n | 47430*u\n | ibivibiv/math_instruct | |
Convert 842.666 millilitres to litres.\n | 0.842666\n | ibivibiv/math_instruct | |
Sort 0.4, -41/4, 159 in increasing order.\n | -41/4, 0.4, 159\n | ibivibiv/math_instruct | |
-227 divided by 894\n | -227/894\n | ibivibiv/math_instruct | |
Let w = -61 + 428/7. Suppose -4*u + 2*v - 16 = -3*v, 5*u + 20 = -v. Which is the second smallest value? (a) -2 (b) w (c) u\n | a\n | ibivibiv/math_instruct |
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