instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Calculate the smallest common multiple of 90 and 22.\n | 990\n | ibivibiv/math_instruct | |
What is -0.0000000238031205 rounded to seven decimal places?\n | 0\n | ibivibiv/math_instruct | |
Suppose -x + 2*r = -3 + 8, 2 = -2*x - 4*r. Let o(g) = 2*g**2 + 5*g + 6. What is o(x)?\n | 9\n | ibivibiv/math_instruct | |
Let p = 8 + -6. Let q(l) = 8*l - 1. Let b be q(7). Let f = b + -221/4. Which is smaller: p or f?\n | f\n | ibivibiv/math_instruct | |
Let f be ((-30)/20)/((-6)/8). What is the closest to f in 2/7, -0.6, 3/5?\n | 3/5\n | ibivibiv/math_instruct | |
Calculate -15 + 11 - (-44 + (-9 - -12)) - -24.\n | 61\n | ibivibiv/math_instruct | |
Let n(h) = h**2 - 10*h - 7. Let p be n(10). Let i(r) = -r + 18. What is the units digit of i(p)?\n | 5\n | ibivibiv/math_instruct | |
Work out -22.1 * -2.\n | 44.2\n | ibivibiv/math_instruct | |
Let u(o) = -2*o**2 - 230*o - 2409. Determine u(-12).\n | 63\n | ibivibiv/math_instruct | |
Four letters picked without replacement from {u: 1, f: 1, q: 7}. Give prob of picking 3 q and 1 f.\n | 5/18\n | ibivibiv/math_instruct | |
1341110423 (base 5) to base 14\n | 65db9a\n | ibivibiv/math_instruct | |
What is the third smallest value in 4, 2, 0.04, 3?\n | 3\n | ibivibiv/math_instruct | |
What comes next: 2465, 4911, 7333, 9737, 12129, 14515, 16901, 19293?\n | 21697\n | ibivibiv/math_instruct | |
Simplify (sqrt(2401)*1*1 + sqrt(2401) + 5*-1*sqrt(2401))/((-6*(sqrt(147)/sqrt(3) + sqrt(49)))/(sqrt(14)/sqrt(2)*6)).\n | 21*sqrt(7)/2\n | ibivibiv/math_instruct | |
Is 81 a factor of 490064707?\n | False\n | ibivibiv/math_instruct | |
Which is the closest to -113? (a) -0.4 (b) -216 (c) -1 (d) 0.7\n | b\n | ibivibiv/math_instruct | |
Let y = 94 - 93.5. Sort -0.04, y, -1 in descending order.\n | y, -0.04, -1\n | ibivibiv/math_instruct | |
Let y(s) = -s - 2. Suppose 3*w + 0 + 2 = 5*f, 2*w + 12 = -2*f. Let h(n) = -1. Let a(v) = f*y(v) + 5*h(v). Let q be a(1). What is the smallest value in -4, q, 5?\n | -4\n | ibivibiv/math_instruct | |
Rearrange 9*k - 6 - k - 6 + 13 to l*k + z and give l.\n | 8\n | ibivibiv/math_instruct | |
What comes next: -497287, -994580, -1491883, -1989196?\n | -2486519\n | ibivibiv/math_instruct | |
3 - 12 - -21 - 8\n | 4\n | ibivibiv/math_instruct | |
Calculate the common denominator of 47/20 and -11/9616.\n | 48080\n | ibivibiv/math_instruct | |
Let x(r) be the second derivative of r**3/2 + r. Let d(b) be the third derivative of -b**5/60 - 23*b**2. Determine x(d(z)).\n | -3*z**2\n | ibivibiv/math_instruct | |
Let z(g) = g**4 - 2*g**2 + 3. Let f(d) = 5*d**4 - 9*d**2 + 13. Let w(k) = 6*f(k) - 26*z(k). What is the third derivative of w(c) wrt c?\n | 96*c\n | ibivibiv/math_instruct | |
Let f be (-2)/20 - (-610)/100. What are the prime factors of 1*f + 6688/38?\n | 2, 7, 13\n | ibivibiv/math_instruct | |
-11022212102221 (base 3) to base 16\n | -23199d\n | ibivibiv/math_instruct | |
Suppose -4*p - 2*i = -58, -5*i = -1 + 6. Calculate the highest common divisor of p and 300.\n | 15\n | ibivibiv/math_instruct | |
Calculate the least common multiple of 480326 and 10164.\n | 31701516\n | ibivibiv/math_instruct | |
Let m(k) = -k**2. Let l(h) = -3*h**2 + 3*h**2 - 2*h**2. Let d = -930 - -926. What is d*m(v) + l(v)?\n | 2*v**2\n | ibivibiv/math_instruct | |
Solve -11*m = 3*m + 28 for m.\n | -2\n | ibivibiv/math_instruct | |
Evaluate (48/(-17136))/((-24)/252).\n | 1/34\n | ibivibiv/math_instruct | |
Let q = -1.8 + 2.3. Let o = -151/3 - -51. Let l = 0 + 0. Which is the nearest to o? (a) -3 (b) l (c) q\n | c\n | ibivibiv/math_instruct | |
In base 5, what is -12401 - -1202120?\n | 1134214\n | ibivibiv/math_instruct | |
What is 22.3594 rounded to the nearest integer?\n | 22\n | ibivibiv/math_instruct | |
Simplify (((sqrt(1573) + (-2*sqrt(1573) - sqrt(1573)))*-4 + sqrt(1573) - -2*(sqrt(1573) + sqrt(1573) + 0)) + (sqrt(1573)*2 - sqrt(1573))*-3 + 3)**2.\n | 660*sqrt(13) + 157309\n | ibivibiv/math_instruct | |
What is 17.94501 millilitres in litres?\n | 0.01794501\n | ibivibiv/math_instruct | |
Factor -2*y**5 - 290038*y**4 - 2610180*y**3.\n | -2*y**3*(y + 9)*(y + 145010)\n | ibivibiv/math_instruct | |
Simplify (o*o*o*((o/(o/o**(1/3))*o)/o)/o)**(-9/8)*(o*o**(-3)/o)/o**(-2/11) assuming o is positive.\n | o**(-479/88)\n | ibivibiv/math_instruct | |
In base 8, what is 1017 + 3?\n | 1022\n | ibivibiv/math_instruct | |
What is the third derivative of 1342*k**3 + 2*k**2 - 369*k + 1 wrt k?\n | 8052\n | ibivibiv/math_instruct | |
Let f(b) = b**3 - 10*b**2 - b + 2. Let g(z) = z**2 - z. Let d(q) = f(q) + 2*g(q). Is d(9) a multiple of 8?\n | True\n | ibivibiv/math_instruct | |
Which is bigger: -491510/547 or -898?\n | -898\n | ibivibiv/math_instruct | |
Wyatt has 10 blue envelopes. He has 4 fewer yellow envelopes than blue envelopes. How many envelopes does Wyatt have in all? | If Wyatt has 10 blue envelopes, and he has 4 fewer yellow envelopes than blue envelopes, then he has 10 - 4 = 6 yellow envelopes.
In total, Wyatt has 10 blue envelopes + 6 yellow envelopes = 16 envelopes.
#### 16
The answer is: 16 | ibivibiv/math_instruct | |
Find the common denominator of 11/3 and -131/2016.\n | 2016\n | ibivibiv/math_instruct | |
What is 2 (base 11) in base 8?\n | 2\n | ibivibiv/math_instruct | |
What is the value of (8 - 11) + (9 - 7)?\n | -1\n | ibivibiv/math_instruct | |
Calculate the greatest common divisor of 6642 and 91824.\n | 6\n | ibivibiv/math_instruct | |
Let t = 51 + -149/3. Let f be 5/275 - (-4)/22. What is the second biggest value in -5/4, f, t?\n | f\n | ibivibiv/math_instruct | |
Let l = 2 + 0. Let q(k) = 3*k - 28. Let n(r) = r**3 + 5*r**2 - 5*r + 18. Let o be n(-6). Let h be q(o). Solve 2*c = 3*i + 18, -i - 2 - h = -l*c for c.\n | 3\n | ibivibiv/math_instruct | |
Calculate (0 + 1 - (5 + -6)) + -7.\n | -5\n | ibivibiv/math_instruct | |
12021 (base 3) to base 14\n | a2\n | ibivibiv/math_instruct | |
Is 457285 a prime number?\n | False\n | ibivibiv/math_instruct | |
Let g(f) = -13*f - 117. Let o be g(-11). Which is bigger: o or 28?\n | 28\n | ibivibiv/math_instruct | |
Let j = 180 + -115. Suppose -2*s - 109 + 393 = 0. Let f = j + s. What is the tens digit of f?\n | 0\n | ibivibiv/math_instruct | |
What is the nearest to -1 in -6, -1, -2, -5?\n | -1\n | ibivibiv/math_instruct | |
Let d = 55 + -56. Let a = 25.5 + -25. What is the closest to d in -0.2, a, -1?\n | -1\n | ibivibiv/math_instruct | |
What is -789442 rounded to the nearest ten thousand?\n | -790000\n | ibivibiv/math_instruct | |
Let g = 28 + -25. Suppose 0*d + 5*k - 23 = -g*d, 2*d - 4*k - 30 = 0. Calculate the remainder when (-44)/286 + (-691)/(-13) is divided by d.\n | 9\n | ibivibiv/math_instruct | |
Let d(u) = -3737*u - 3730. Determine d(-1).\n | 7\n | ibivibiv/math_instruct | |
What is the hundreds digit of 863?\n | 8\n | ibivibiv/math_instruct | |
Suppose 3*c + 6 = -l - 2, -3*c - 20 = -2*l. Let z(g) = g**3 - 2*g**2 + 2*g - 3. Is z(l) a prime number?\n | True\n | ibivibiv/math_instruct | |
Solve -o = 1, 0*z + 3*o = -3*z for z.\n | 1\n | ibivibiv/math_instruct | |
Let -4*b**4 - 32*b**3 - 64*b**2 = 0. Calculate b.\n | -4, 0\n | ibivibiv/math_instruct | |
Expand (-15 - 9 - 9)*(0*s + 0*s - s).\n | 33*s\n | ibivibiv/math_instruct | |
Let u be (-2)/4*(-7 + 5). Let o(n) = n**3. What is o(u)?\n | 1\n | ibivibiv/math_instruct | |
Calculate the remainder when 49 is divided by 32.\n | 17\n | ibivibiv/math_instruct | |
Is 0 bigger than 11/4262?\n | False\n | ibivibiv/math_instruct | |
Is 15275964949 composite?\n | True\n | ibivibiv/math_instruct | |
Solve 5*i = -2*s, 3*s = -3*i - 16 + 25 for i.\n | -2\n | ibivibiv/math_instruct | |
What is the next term in 710142, 710177, 710194, 710193?\n | 710174\n | ibivibiv/math_instruct | |
What is the third root of 11454586 to the nearest integer?\n | 225\n | ibivibiv/math_instruct | |
What are the prime factors of 114631?\n | 11, 17, 613\n | ibivibiv/math_instruct | |
Let a(p) be the second derivative of -p**5/20 + 2*p**4/3 + 3*p**3/2 + 3*p**2 - 5*p. Let b be a(9). Suppose 3*z - b = 4*z. Which is smaller: z or 1?\n | z\n | ibivibiv/math_instruct | |
Express -62*f**2 + 78*f**2 + 0*f + 2*f - f**2 - 5*f**2 + 0*f**2 + (0 - 1 - 1)*(1 - 1 - 2*f**2) as j*f + a*f**2 + o and give a.\n | 14\n | ibivibiv/math_instruct | |
Find y such that 2*y**5 - 2*y**4 - 18*y**3 - 22*y**2 - 8*y = 0.\n | -1, 0, 4\n | ibivibiv/math_instruct | |
How many centuries are there in 43033.68 millennia?\n | 430336.8\n | ibivibiv/math_instruct | |
Let h(s) = -s**3 + 2*s**2 - s. Suppose -42 - 3 = -15*f. Let m(a) = -4*a**3 + 37*a**2 + 190*a + 169. Let x(j) = f*m(j) - 15*h(j). Factor x(o).\n | 3*(o + 1)*(o + 13)**2\n | ibivibiv/math_instruct | |
What is the greatest common factor of 414 and 299?\n | 23\n | ibivibiv/math_instruct | |
b"What is the fth term of -1250, -4837, -10156, -16667, -23830, -31105?\n" | 90*f**3 - 1406*f**2 + f + 65\n | ibivibiv/math_instruct | |
Simplify ((c**(1/3))**(-13/8)*c**(-2)*c*c*c*c*c**4/c)/((c**1)**15/(c/(c/(c/((((c**1/c)/c)/c)/c))))**(-31)) assuming c is positive.\n | c**(-3229/24)\n | ibivibiv/math_instruct | |
Let f(l) = 7*l**3 - 55*l**2 + 24*l - 11. Calculate the remainder when f(12) is divided by 135.\n | 133\n | ibivibiv/math_instruct | |
How many minutes are there between 9:25 AM and 7:53 PM?\n | 628\n | ibivibiv/math_instruct | |
Simplify ((w*w*w*w/((w*(w*w**6*w)/w*w)/w))/(w*(((w*(w*w**(2/5))/w)/w)/w)/w))**(-8)*(w**0*(w/((w/(w/(w**3/w*w)))/w))/w)**(1/18) assuming w is positive.\n | w**(1219/45)\n | ibivibiv/math_instruct | |
Convert -467 (base 10) to base 6.\n | -2055\n | ibivibiv/math_instruct | |
Collect the terms in 103*l**3 - 56*l**3 - 45*l**3 + 28.\n | 2*l**3 + 28\n | ibivibiv/math_instruct | |
Convert -332 (base 6) to base 5.\n | -1003\n | ibivibiv/math_instruct | |
Calculate the highest common divisor of 97470 and 30.\n | 30\n | ibivibiv/math_instruct | |
Is -111 at most as big as -106?\n | True\n | ibivibiv/math_instruct | |
Calculate the highest common factor of 1009222 and 34.\n | 34\n | ibivibiv/math_instruct | |
Calculate 1 divided by 10637804.\n | 1/10637804\n | ibivibiv/math_instruct | |
Solve 6*j = 234 - 264 for j.\n | -5\n | ibivibiv/math_instruct | |
(-6 + 164*10/240)/(5/(-10))\n | -5/3\n | ibivibiv/math_instruct | |
What is 552 minutes after 9:14 PM?\n | 6:26 AM\n | ibivibiv/math_instruct | |
Is 26029 prime?\n | True\n | ibivibiv/math_instruct | |
Simplify (((k/(k*k**4/k)*k)**(-1/40)/(k**(1/2))**(-45))**(28/9))**(-2) assuming k is positive.\n | k**(-6314/45)\n | ibivibiv/math_instruct | |
Three letters picked without replacement from bbbbmbbmbb. What is prob of sequence bmb?\n | 7/45\n | ibivibiv/math_instruct | |
What is the thousands digit of 1917925?\n | 7\n | ibivibiv/math_instruct | |
Four letters picked without replacement from ofcofommmwfmofof. Give prob of sequence cfwf.\n | 1/2184\n | ibivibiv/math_instruct | |
What is the product of 125 and 48.3?\n | 6037.5\n | ibivibiv/math_instruct | |
Solve 984049*m - 4*a = 984046*m - 3 - 5, 3*m - 5*a + 10 = 0 for m.\n | 0\n | ibivibiv/math_instruct |
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