instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
b"What is the yth term of 31370, 63229, 95100, 126989, 158902, 190845, 222824, 254845?\n" | y**3 + 31852*y - 483\n | ibivibiv/math_instruct | |
Calculate the lowest common multiple of 6258 and 70.\n | 31290\n | ibivibiv/math_instruct | |
What is -4025 divided by 25?\n | -161\n | ibivibiv/math_instruct | |
Calculate the remainder when 1500 is divided by 306.\n | 276\n | ibivibiv/math_instruct | |
Let j(y) = 4*y**3 + 20*y**2 + 197*y + 33. Let g(f) = -2*f**3 - 9*f**2 - 99*f - 15. What is -9*g(w) - 4*j(w)?\n | 2*w**3 + w**2 + 103*w + 3\n | ibivibiv/math_instruct | |
What is the result of the following expression?
22.1234 + -86.8942 | -64.7708 | ibivibiv/math_instruct | |
Let j = 53.71 + -54. Let w = -0.522 - 0.008. Let c = w - j. Put -1/2, c, 2/17 in descending order.\n | 2/17, c, -1/2\n | ibivibiv/math_instruct | |
Simplify ((-2*(1*sqrt(100) + sqrt(100)))/(sqrt(4) - 4*sqrt(16)/sqrt(4)))/(sqrt(140)/sqrt(7) + sqrt(5)*-5*3).\n | -4*sqrt(5)/39\n | ibivibiv/math_instruct | |
Let m be 30/5 - (2 - -1). Suppose -4 = -r + j + 37, 3*j = -m*r + 93. Does 18 divide r?\n | True\n | ibivibiv/math_instruct | |
Let c(z) = z - 5. Suppose 0*d = -2*d + 10. Suppose -d*m = -u - 27, -4*m + 0*u + 22 = -u. Let k = m - 1. Calculate c(k).\n | -1\n | ibivibiv/math_instruct | |
Convert 0.0280132nm to meters.\n | 0.0000000000280132\n | ibivibiv/math_instruct | |
Let n(b) be the first derivative of -b**3/3 + 7*b**2/2 + 3*b + 2. Let s be n(5). Let p = s - -10. What is the units digit of p?\n | 3\n | ibivibiv/math_instruct | |
What is the next term in 194, 1472, 4900, 11552, 22502?\n | 38824\n | ibivibiv/math_instruct | |
Let m be 111/(-28)*46/(-3). Let b = m - 93/7. What is the common denominator of 79/20 and b?\n | 20\n | ibivibiv/math_instruct | |
Let z(a) = -118*a**5 - 2*a**3 + 20*a - 10. Let b(g) = 128*g - 243*g + 114*g - 1. Let n(y) = 10*b(y) - z(y). What is the second derivative of n(j) wrt j?\n | 2360*j**3 + 12*j\n | ibivibiv/math_instruct | |
Find the first derivative of w**4 + 3*w**3 - 43361*w**2 - 109684 wrt w.\n | 4*w**3 + 9*w**2 - 86722*w\n | ibivibiv/math_instruct | |
Let s(v) = -16*v - 144. Let d be s(-12). Suppose -d = 22*c - 30*c. What is the nearest to 0.8 in -1, -2/5, c?\n | -2/5\n | ibivibiv/math_instruct | |
What is the result of the following expression?
30.707 % 34.913 | 30.7070 | ibivibiv/math_instruct | |
Let k(s) = 3*s**3 + 5*s**2 + s - 12. Let a(u) be the second derivative of u**5/20 + u**4/12 - u**2/2 + 267*u + 15. What is -6*a(c) + k(c)?\n | -3*c**3 - c**2 + c - 6\n | ibivibiv/math_instruct | |
Let o(h) = h + 21. Let y be o(-6). Let b be 12/y + (-55)/(-25). Suppose b*k + 3*k - 24 = 0. Solve -5*z + 1 + 0 = k*d, 0 = 3*d - 4*z - 24 for d.\n | 4\n | ibivibiv/math_instruct | |
Let h = -103/42 - -16/7. Which is the third biggest value? (a) -3 (b) h (c) -6\n | c\n | ibivibiv/math_instruct | |
Let q = -28/103 - -2697/10300. Let w = 6/25 - q. Which is the third smallest value? (a) 2 (b) -0.5 (c) w\n | a\n | ibivibiv/math_instruct | |
Calculate the common denominator of -115/24 and -71/18.\n | 72\n | ibivibiv/math_instruct | |
Let p = 16989 + -2973118/175. Let u be (9 - 94/10) + 44/100. Let f = p - u. Which is the closest to -8? (a) 1 (b) 0.4 (c) f\n | c\n | ibivibiv/math_instruct | |
Simplify ((j/(j*j*j**4*j)*j)/(j/(j/j**(-6))))/((j*(j*j**(-1))/j)/(j*j**(-2))) assuming j is positive.\n | 1\n | ibivibiv/math_instruct | |
Expand (-5*u + 3*u + 3*u)*(-3*u + 3*u + u**2) + 0*u - 2*u**3 + 0*u - 418*u**3 - 14*u**2 + 4*u**2 + 10*u**2.\n | -419*u**3\n | ibivibiv/math_instruct | |
Let h = -390 + 390. Are h and 42/1063 equal?\n | False\n | ibivibiv/math_instruct | |
Is 41041075 a multiple of 166?\n | False\n | ibivibiv/math_instruct | |
Sort -0.3, -7, -348 in descending order.\n | -0.3, -7, -348\n | ibivibiv/math_instruct | |
Let d = 6 - 4. Let q be (-1)/((2/(-6))/((-4)/(-12))). Solve f = d*f - q for f.\n | 1\n | ibivibiv/math_instruct | |
Let f(y) = -9*y + 1. Let x be f(-2). Let z = x + -97/5. Which is smaller: z or -1/9?\n | z\n | ibivibiv/math_instruct | |
What is the units digit of (292/7 + (-316)/(-1106))/((-1)/(-2))?\n | 4\n | ibivibiv/math_instruct | |
After having 14 fries for lunch, Sallys friend Mark gave her one-third of his 36 fries. How many fries does Sally have for lunch now? | Sally initially had 14 fries.
Mark gave her one-third of his 36 fries, which is (1/3) * 36 = 12 fries.
So Sally now has 14 + 12 = 26 fries for lunch.
#### 26
The answer is: 26 | ibivibiv/math_instruct | |
-6 - -31 - (-5 - -3) - 3\n | 24\n | ibivibiv/math_instruct | |
Let m(s) = s**2. Let w(z) = -107921801*z. What is w(m(b))?\n | -107921801*b**2\n | ibivibiv/math_instruct | |
How many milliseconds are there in 11/2 of a second?\n | 5500\n | ibivibiv/math_instruct | |
What is 3/5 of a microgram in nanograms?\n | 600\n | ibivibiv/math_instruct | |
Let h = -1094 + 1141. Put -8, h, 0, -4 in descending order.\n | h, 0, -4, -8\n | ibivibiv/math_instruct | |
Simplify ((((t*t**(-7))/t)/(t**(-1)*t)*(t*t**(-1))/t**(-2/11))**(1/10))**(1/17) assuming t is positive.\n | t**(-15/374)\n | ibivibiv/math_instruct | |
Calculate the highest common factor of 38 and 119414924.\n | 38\n | ibivibiv/math_instruct | |
Let q = -5 - -8. Let f = q - 7. Which is the third biggest value? (a) 5 (b) f (c) -3/5\n | b\n | ibivibiv/math_instruct | |
Let s be 4 - (0/6 - -49). Let u be ((-12)/s)/((-6)/15). Let v = 0.2 + -10.2. Which is bigger: v or u?\n | u\n | ibivibiv/math_instruct | |
Collect the terms in 224*m + 2*m**2 + 0*m**2 + 13*m**2.\n | 15*m**2 + 224*m\n | ibivibiv/math_instruct | |
Let h = 42.72 + 0.88. Let i = h + -42.6. Sort i, -0.4, -0.5, 5.\n | -0.5, -0.4, i, 5\n | ibivibiv/math_instruct | |
Let r(k) = 2*k + 55. Let m(p) be the second derivative of -3*p**3/2 - 1010*p + 2. Give r(m(d)).\n | -18*d + 55\n | ibivibiv/math_instruct | |
Two letters picked without replacement from ggrvlggavgvgggaglgra. Give prob of sequence la.\n | 3/190\n | ibivibiv/math_instruct | |
14 + ((-14596)/(-24))/(-41)\n | -5/6\n | ibivibiv/math_instruct | |
What is the second biggest value in 1, 2, 123/5, -3?\n | 2\n | ibivibiv/math_instruct | |
What is 15124 to the power of 1/9, to the nearest integer?\n | 3\n | ibivibiv/math_instruct | |
What is 492 minutes after 7:34 AM?\n | 3:46 PM\n | ibivibiv/math_instruct | |
Let b be ((-4)/6)/(8/60) + 5. Solve 3*p - 3*d = b, -d = -2*p - p + 8 for p.\n | 4\n | ibivibiv/math_instruct | |
What is -3359109055 divided by 5?\n | -671821811\n | ibivibiv/math_instruct | |
What is prob of sequence ffuu when four letters picked without replacement from {f: 6, u: 13}?\n | 65/1292\n | ibivibiv/math_instruct | |
Is 99076 a multiple of 62?\n | True\n | ibivibiv/math_instruct | |
What is the lowest common multiple of 250 and 21725?\n | 217250\n | ibivibiv/math_instruct | |
Let s = 199 + -198.8. Put -0.1, -2, s, -1 in decreasing order.\n | s, -0.1, -1, -2\n | ibivibiv/math_instruct | |
Which is the smallest value? (a) 3/5 (b) 2 (c) 58/7 (d) 9 (e) -3\n | e\n | ibivibiv/math_instruct | |
Solve y + 1 = 2*y + k, 0 = 3*y + 2*k for y.\n | -2\n | ibivibiv/math_instruct | |
Let d = 104 + -104.3. Sort 0.08, 1/8, d in increasing order.\n | d, 0.08, 1/8\n | ibivibiv/math_instruct | |
Factor -f**4 + 404*f**3 - 12333*f**2 + 33390*f.\n | -f*(f - 371)*(f - 30)*(f - 3)\n | ibivibiv/math_instruct | |
What is -13408 divided by 1?\n | -13408\n | ibivibiv/math_instruct | |
Put 6, 11, -5, -4, 4, -8 in ascending order.\n | -8, -5, -4, 4, 6, 11\n | ibivibiv/math_instruct | |
Suppose -3*c = -3*u - 18, 0 = 4*c - 4*u + 2*u - 26. Let x(q) = 9 - c + 5*q - 2*q. What is x(2)?\n | 8\n | ibivibiv/math_instruct | |
Collect the terms in -2 + 87*f + 14*f - 1 + 1.\n | 101*f - 2\n | ibivibiv/math_instruct | |
What is the next term in -422576, -422573, -422568, -422561?\n | -422552\n | ibivibiv/math_instruct | |
Let r = -141 + 163. Suppose -4598 = 11*b - r*b. What are the prime factors of b?\n | 2, 11, 19\n | ibivibiv/math_instruct | |
Let a(l) = l. Let v(s) = 827*s - 3290. Give v(a(k)).\n | 827*k - 3290\n | ibivibiv/math_instruct | |
Collect the terms in 3807 + 38*q**3 - 3807 + 15*q**3.\n | 53*q**3\n | ibivibiv/math_instruct | |
b"What is the xth term of 6976, 6990, 7002, 7012, 7020, 7026?\n" | -x**2 + 17*x + 6960\n | ibivibiv/math_instruct | |
Rearrange -2*x**4 + 18*x**2 - 1 + 3*x - 3 + 5*x + 2*x - 16*x**2 to w + f*x + q*x**3 + c*x**2 + n*x**4 and give n.\n | -2\n | ibivibiv/math_instruct | |
Simplify a**(-2/17)*a**6*(a**(1/2))**(-8/5) assuming a is positive.\n | a**(432/85)\n | ibivibiv/math_instruct | |
What is prob of picking 1 h and 1 x when two letters picked without replacement from bxbsbobbooxsbbhhssob?\n | 2/95\n | ibivibiv/math_instruct | |
Collect the terms in 11*n + 3*n - 12*n - 2*n - 4*n.\n | -4*n\n | ibivibiv/math_instruct | |
Which is smaller: -17957 or -515?\n | -17957\n | ibivibiv/math_instruct | |
Suppose 159*v - 1232 = 148*v. Suppose 122*a = v*a + 10. Solve -10*l - 11 + a = 0 for l.\n | -1\n | ibivibiv/math_instruct | |
What is the second smallest value in 5, -78, -18, -0.5, -200?\n | -78\n | ibivibiv/math_instruct | |
Simplify ((-4*-2*sqrt(132))/(((2*sqrt(120) - sqrt(120) - sqrt(120)) + sqrt(120))/sqrt(10)))**2.\n | 704\n | ibivibiv/math_instruct | |
Suppose 5*i = -y - 19, 2 + 1 = -2*i - 5*y. Suppose 2*x + 0*x = 158006. Let l be -1*(i - -1) - x. Round l to the nearest 10000.\n | -80000\n | ibivibiv/math_instruct | |
Is 63467 a composite number?\n | False\n | ibivibiv/math_instruct | |
What is -267115.72 rounded to the nearest 10000?\n | -270000\n | ibivibiv/math_instruct | |
Calculate (-1)/5*(-810)/(-3078)*((-133)/938)/(-1).\n | -1/134\n | ibivibiv/math_instruct | |
What is 18/6*28/(-12)?\n | -7\n | ibivibiv/math_instruct | |
Let n(a) = -5*a**3 + 70*a**2 + 46*a - 642. Let w be n(14). Factor -20/7*h**3 - 2 - 44/7*h - 2/7*h**4 - 48/7*h**w.\n | -2*(h + 1)**3*(h + 7)/7\n | ibivibiv/math_instruct | |
Let w = -152 - -151. Let o = -56.71 + 57. Let p = o - 18.29. Is w less than or equal to p?\n | False\n | ibivibiv/math_instruct | |
Which is bigger: 15 or 5/434?\n | 15\n | ibivibiv/math_instruct | |
Which is bigger: -19443 or -19440?\n | -19440\n | ibivibiv/math_instruct | |
Let v(l) = -2*l - 4. Let p(h) = -h**3 + 23*h**2 + 26*h + 11. Let j be p(24). Let f = j + -55. Give v(f).\n | -12\n | ibivibiv/math_instruct | |
Two letters picked without replacement from bbnbbbbsbbbbg. What is prob of picking 1 n and 1 b?\n | 5/39\n | ibivibiv/math_instruct | |
Solve 5*u**3 - 40*u**2 + 60*u = 0.\n | 0, 2, 6\n | ibivibiv/math_instruct | |
Collect the terms in 38*q**2 + 69*q**2 - 1 + 56*q**2.\n | 163*q**2 - 1\n | ibivibiv/math_instruct | |
What is the hundreds digit of 6911751?\n | 7\n | ibivibiv/math_instruct | |
Let w(z) be the second derivative of 6*z**3 + 22*z**2 + 11*z. Differentiate w(c) with respect to c.\n | 36\n | ibivibiv/math_instruct | |
Is 107161382 a multiple of 734?\n | False\n | ibivibiv/math_instruct | |
Let i = 11 - 12. Let y = 2 - 1. Let h be (y/(-3))/(6/(-36)). Which is the closest to h? (a) -3 (b) -5 (c) i\n | c\n | ibivibiv/math_instruct | |
Is 17 a factor of 2909?\n | False\n | ibivibiv/math_instruct | |
Expand (0*f + 2*f + 0*f)*((0 - 2 + 1)*(-3 + 1 + 1) - 1 + 1 + 1 - 3 + 0 + 4 + 35 + 30 - 20).\n | 96*f\n | ibivibiv/math_instruct | |
Which is the closest to -3/2? (a) -9157 (b) -2/13 (c) 1/2\n | b\n | ibivibiv/math_instruct | |
Two letters picked without replacement from sttfsssttsn. Give prob of picking 1 s and 1 n.\n | 1/11\n | ibivibiv/math_instruct | |
Suppose 3*p - 4*b - 25 = 0, 2*p + 4*b = -b - 14. Find n, given that 2/3*n**2 - 2/3*n - 2/3 + 2/3*n**p = 0.\n | -1, 1\n | ibivibiv/math_instruct | |
Does 11 divide 66715?\n | True\n | ibivibiv/math_instruct |
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