instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
What is prob of picking 4 c when four letters picked without replacement from {c: 15, p: 3}?\n | 91/204\n | ibivibiv/math_instruct | |
Simplify (b*b*((b**(-9)*b)/b)/b*b)**(-9) assuming b is positive.\n | b**63\n | ibivibiv/math_instruct | |
Solve 4694*h + 2*o = 4693*h + 3, -2*o + 18 = -2*h for h.\n | -5\n | ibivibiv/math_instruct | |
Simplify ((sqrt(192) + (sqrt(192) + 2 - sqrt(192) - sqrt(192)) + 1 - (sqrt(192)*1 + -1))*2*6)**2.\n | -9216*sqrt(3) + 29952\n | ibivibiv/math_instruct | |
In base 12, what is 32 - -166?\n | 198\n | ibivibiv/math_instruct | |
What is prob of picking 1 w and 2 k when three letters picked without replacement from {w: 1, s: 4, k: 5}?\n | 1/12\n | ibivibiv/math_instruct | |
Expand (0*a**2 - 4*a**2 - 4*a**2)*(1 - 1 - 3*a**2).\n | 24*a**4\n | ibivibiv/math_instruct | |
What are the prime factors of 151701?\n | 3, 11, 4597\n | ibivibiv/math_instruct | |
Let x be 14/(-70) + (-2)/15. Which is the second biggest value? (a) x (b) -0.3 (c) -2/5\n | a\n | ibivibiv/math_instruct | |
Let t(u) = -152*u - 148. Let s be t(-4). Round s to the nearest one hundred.\n | 500\n | ibivibiv/math_instruct | |
Calculate the common denominator of -77/15498528 and -31/917676.\n | 139486752\n | ibivibiv/math_instruct | |
Let w = -181 + 358. Is w composite?\n | True\n | ibivibiv/math_instruct | |
Let o = -528 - -1372. Suppose 0 = -5*x + m + 2123, 3*m + o = 2*x - 0*m. Is x a multiple of 17?\n | True\n | ibivibiv/math_instruct | |
Calculate 2 + -2 - (-11 - -3).\n | 8\n | ibivibiv/math_instruct | |
What is the greatest common divisor of 168 and 11088?\n | 168\n | ibivibiv/math_instruct | |
Product of 5.6 and 3.2.\n | 17.92\n | ibivibiv/math_instruct | |
Let b be (-6)/90*-10 + 560/15. What is the greatest common divisor of b and 361?\n | 19\n | ibivibiv/math_instruct | |
Convert -131300113 (base 5) to base 6.\n | -21533225\n | ibivibiv/math_instruct | |
Suppose 68*z + 198805 = -86*z + 580109. What is the thousands digit of z?\n | 2\n | ibivibiv/math_instruct | |
Let p be (-1)/((-1 + -3)/(-4)). Which is the closest to p? (a) 5 (b) -1 (c) -0.1\n | b\n | ibivibiv/math_instruct | |
What is the least common multiple of 222 and 481?\n | 2886\n | ibivibiv/math_instruct | |
What is 1162 to the power of 1/5, to the nearest integer?\n | 4\n | ibivibiv/math_instruct | |
Divide -2 by -87065030.\n | 1/43532515\n | ibivibiv/math_instruct | |
Suppose -w - 12*w = -91. Let l(x) = 2*x**2 - 11*x - 17. Let m be l(w). What is u in 0 + 3*u**3 + 2/3*u + 7/3*u**2 + 5/3*u**m + 1/3*u**5 = 0?\n | -2, -1, 0\n | ibivibiv/math_instruct | |
Evaluate (-3 - (-1 + 3) - (634 - 643)) + 12.\n | 16\n | ibivibiv/math_instruct | |
Expand (0*w + 0*w - w)*(59 + 130 - 6)*(-5 - 13 + 1).\n | 3111*w\n | ibivibiv/math_instruct | |
Calculate -42 divided by 7598.\n | -21/3799\n | ibivibiv/math_instruct | |
Let l(v) = -v**3 + v**2 - v - 1. Suppose 30 = 5*z + 5. Let g(c) = -6*c**3 - 9*c**2 + 7*c - 16. Let w(r) = z*l(r) - g(r). Is w(-14) a composite number?\n | False\n | ibivibiv/math_instruct | |
(-4)/((-28)/((-8)/(-4)))\n | 2/7\n | ibivibiv/math_instruct | |
Solve 4*v + 1 = 3*k, -634*v + k = -620*v + 51 for v.\n | -4\n | ibivibiv/math_instruct | |
Suppose -2*d**4 + 106*d**3 + 338*d**2 - 106*d - 336 = 0. Calculate d.\n | -3, -1, 1, 56\n | ibivibiv/math_instruct | |
15557 (base 8) to base 7\n | 26322\n | ibivibiv/math_instruct | |
Let b(r) be the first derivative of -1/30*r**4 + 66 + 8/15*r - 2/75*r**5 + 2/5*r**3 - 11/15*r**2. Solve b(l) = 0 for l.\n | -4, 1\n | ibivibiv/math_instruct | |
What is -39 + 48 + (-5 - 5) + -3?\n | -4\n | ibivibiv/math_instruct | |
What is -28.4 times -0.4?\n | 11.36\n | ibivibiv/math_instruct | |
Does 16 divide 4646240?\n | True\n | ibivibiv/math_instruct | |
Does 8 divide 123181864?\n | True\n | ibivibiv/math_instruct | |
What is prob of sequence bbia when four letters picked without replacement from {j: 1, v: 2, a: 4, i: 8, b: 4}?\n | 4/969\n | ibivibiv/math_instruct | |
Suppose 2*b**5 + 466*b**4 + 2224*b**3 - 12832*b**2 - 14592*b = 0. What is b?\n | -228, -8, -1, 0, 4\n | ibivibiv/math_instruct | |
Solve -511*l + 693*l + 635*l = 24510 for l.\n | 30\n | ibivibiv/math_instruct | |
Calculate the remainder when 364 is divided by 73.\n | 72\n | ibivibiv/math_instruct | |
Let f(g) = 3*g**2 + g + 1. Let a be f(-1). Suppose -7*n = -a*n - 8. Solve 1 = 3*y - n*y for y.\n | 1\n | ibivibiv/math_instruct | |
What is the result of the following expression?
(45.2555 * -94.3374) * (-89.5957 + 94.9089) | -22683.5715 | ibivibiv/math_instruct | |
Suppose -2*y**4/17 - 330680*y**3/17 + 15877256*y**2/17 + 1322720*y/17 - 63508992/17 = 0. What is y?\n | -165388, -2, 2, 48\n | ibivibiv/math_instruct | |
Find h such that h**5/6 - 23*h**4/2 + 475*h**3/6 + 8003*h**2/2 + 75164*h/3 + 44376 = 0.\n | -9, -4, 43\n | ibivibiv/math_instruct | |
How many litres are there in 8.448962 millilitres?\n | 0.008448962\n | ibivibiv/math_instruct | |
Simplify 4*(-4 + ((5 + sqrt(90)/sqrt(2))**2 + -4)*-4).\n | -480*sqrt(5) - 1072\n | ibivibiv/math_instruct | |
Suppose -2*l = -10 + 4. Suppose -5 + 20 = l*w. Suppose w*k - 25 = -0*k. Solve f + 1 = 4*g + k, 5*f - g - 1 = 0 for f.\n | 0\n | ibivibiv/math_instruct | |
Suppose -431*c + 570*c - 4039757 = 0. List the prime factors of c.\n | 29063\n | ibivibiv/math_instruct | |
What is 223 minutes after 7:26 PM?\n | 11:09 PM\n | ibivibiv/math_instruct | |
What is 15733 divided by -10448?\n | -15733/10448\n | ibivibiv/math_instruct | |
Let m be 33/90 + 13/26 - 1/5. What is the smallest value in 2/7, 2/9, m, 1/16?\n | 1/16\n | ibivibiv/math_instruct | |
Express -2 + 1661*d**2 - 1685*d**2 + 0 as u*d**2 + q + f*d and give q.\n | -2\n | ibivibiv/math_instruct | |
Let m(h) = 104*h**2 - h - 2. Let l be m(2). Suppose l = -o - 3*o. What is o rounded to the nearest ten?\n | -100\n | ibivibiv/math_instruct | |
If 4x=6y=z, what is x+y, in terms of z?
Answer Choices: (A) z/2 (B) 5z/12 (C) z/3 (D) 3z/5 (E) z/9 | Lets think about the multi-choice question.
4x=6y=z
x = z/4
and y = z/6
x+y = z/4 + z/6 = 5z/12
The answer is B | ibivibiv/math_instruct | |
Calculate the greatest common factor of 612 and 1512.\n | 36\n | ibivibiv/math_instruct | |
Calculate ((-42)/4)/((-24)/16).\n | 7\n | ibivibiv/math_instruct | |
What is the value of (-1 + 2 - 6) + 9 + -10?\n | -6\n | ibivibiv/math_instruct | |
b"What is the gth term of 67, -236, -741, -1448, -2357, -3468?\n" | -101*g**2 + 168\n | ibivibiv/math_instruct | |
Solve -4 = -388*t + 386*t - 4*z, t + z = 6 for t.\n | 10\n | ibivibiv/math_instruct | |
Let z be (5 - -3) + (18/9 - 5). Solve -1 + 11 = -z*v - u, 6 = -3*v + 5*u for v.\n | -2\n | ibivibiv/math_instruct | |
Let m = 22550 + -22529. Let g(s) be the first derivative of m + 0*s**2 - 11*s**3 + 15/4*s**4 + 0*s. Find the third derivative of g(k) wrt k.\n | 90\n | ibivibiv/math_instruct | |
Let f be 209/2 + -4 - 1/(-2). Suppose f = 5*j - 24. Calculate the greatest common factor of 5 and j.\n | 5\n | ibivibiv/math_instruct | |
Let h(c) = 8*c**2 - 18*c - 20. Let z be h(-9). Let w = -357 + z. What is the units digit of w?\n | 3\n | ibivibiv/math_instruct | |
Let j = -0.13 - -0.06. Let k = 4.006 + 0.064. Let o = k + j. Which is the closest to 1? (a) -5/4 (b) 0.4 (c) o\n | b\n | ibivibiv/math_instruct | |
Let d = 0.05 + 0.25. Let i be (-2)/9 - (-55)/(-198). What is the second biggest value in i, d, 1?\n | d\n | ibivibiv/math_instruct | |
In base 11, what is 7 + -9912?\n | -9906\n | ibivibiv/math_instruct | |
Find u such that -u**3/2 - 773*u**2/2 - 73320*u + 532350 = 0.\n | -390, 7\n | ibivibiv/math_instruct | |
Which is bigger: -1/486 or 1?\n | 1\n | ibivibiv/math_instruct | |
Solve 3*q - 3 + 14 = 2*u, -3*q = -u + 10 for q.\n | -3\n | ibivibiv/math_instruct | |
Suppose -51*s + 120062 + 3630 = -17*s. What are the prime factors of s?\n | 2, 17, 107\n | ibivibiv/math_instruct | |
Let y be 3*10/6*(0 + -1). Let t = 2.03 + -2. Which is the second smallest value? (a) y (b) 0.1 (c) t\n | c\n | ibivibiv/math_instruct | |
Find the second derivative of -53*s**4 + 112282*s**3 + 8*s**2 + 953462766*s.\n | -636*s**2 + 673692*s + 16\n | ibivibiv/math_instruct | |
What comes next: -13273, -12819, -12365?\n | -11911\n | ibivibiv/math_instruct | |
Let x(a) be the second derivative of 29*a**7/42 + 2*a**6/5 - a**4/6 - 205*a**3/3 + 285*a - 2. What is the third derivative of x(h) wrt h?\n | 1740*h**2 + 288*h\n | ibivibiv/math_instruct | |
Let z = -703 + 4925/7. What is the common denominator of z and (-684)/(-112) + (-2)/(-14)?\n | 28\n | ibivibiv/math_instruct | |
Let t(r) be the first derivative of r**4/6 + 2*r**3/3 - 8*r/3 + 5. Suppose t(c) = 0. What is c?\n | -2, 1\n | ibivibiv/math_instruct | |
Let c = 1213 + 195. Suppose 0 = 164*j - 142*j + c. Is j greater than -64?\n | False\n | ibivibiv/math_instruct | |
Is 31303 composite?\n | True\n | ibivibiv/math_instruct | |
Express -6*f**3 + 3*f - 4*f**2 + 2*f**2 + f**4 + 3 - 6 + 2*f**2 as r*f + b*f**4 + h*f**3 + q*f**2 + u and give u.\n | -3\n | ibivibiv/math_instruct | |
Is 3567837353 a prime number?\n | True\n | ibivibiv/math_instruct | |
What is the common denominator of 2*(-564)/16*1/(-18) and 43/(-6)*(3 + -1)?\n | 12\n | ibivibiv/math_instruct | |
What is 84.409 rounded to 1 dp?\n | 84.4\n | ibivibiv/math_instruct | |
Solve -51*o = 153, 24*o = 8*n - n - 6*n + 21*o - 7 for n.\n | -2\n | ibivibiv/math_instruct | |
Let n = -781/5 - -157. Let h(o) be the second derivative of -o + 0 + 16/15*o**3 - n*o**2 + 1/105*o**7 - 5/6*o**4 + 19/50*o**5 - 7/75*o**6. Solve h(a) = 0 for a.\n | 1, 2\n | ibivibiv/math_instruct | |
Let l(s) = s**2 + 184*s + 8451. Calculate l(-88).\n | 3\n | ibivibiv/math_instruct | |
What is 537 times -4?\n | -2148\n | ibivibiv/math_instruct | |
Three letters picked without replacement from zciicm. Give prob of sequence iiz.\n | 1/60\n | ibivibiv/math_instruct | |
What is the third smallest value in -1/6, 0.1, -4, 2, 1/3?\n | 0.1\n | ibivibiv/math_instruct | |
What is the next term in -262, -458, -654, -850, -1046?\n | -1242\n | ibivibiv/math_instruct | |
Let d = -113.55 + 113. Let x = d - -3.55. What is the closest to 1 in x, 2/9, 0.1?\n | 2/9\n | ibivibiv/math_instruct | |
Let o(n) = -5*n. Let b(a) = 5*a. Let c(y) = -6*b(y) - 7*o(y). Let i(s) = 7*s**2. Determine i(c(l)).\n | 175*l**2\n | ibivibiv/math_instruct | |
Let z(d) be the second derivative of -d**6/20 + 3*d**5/20 - d**4/8 - 4*d. Factor z(b).\n | -3*b**2*(b - 1)**2/2\n | ibivibiv/math_instruct | |
Let m = -11 + 8. Let n(p) be the third derivative of -p**6/180 - p**5/40 - p**4/12 - 2*p**3 + 14*p**2. Let w(l) be the first derivative of n(l). Calculate w(m).\n | -11\n | ibivibiv/math_instruct | |
Solve 512 = -92*l + 28*l - 640 for l.\n | -18\n | ibivibiv/math_instruct | |
Let t(k) be the first derivative of 106*k**3/3 - k**2/2 + 601*k + 368. What is the derivative of t(j) wrt j?\n | 212*j - 1\n | ibivibiv/math_instruct | |
Round 438.619 to the nearest 10.\n | 440\n | ibivibiv/math_instruct | |
Let v(i) = -i**3 - 3*i**2 + i + 2. Let j be v(-3). Let d(y) = -15. Suppose 40 = 31*z - 53. Let a(n) = -n**2 - 1. Let w(m) = j*d(m) + z*a(m). Factor w(b).\n | -3*(b - 2)*(b + 2)\n | ibivibiv/math_instruct | |
Evaluate 80/4*(-812)/(-1015).\n | 16\n | ibivibiv/math_instruct | |
Solve d - b + 7 = 0, 185*d = 186*d + 5*b - 35 for d.\n | 0\n | ibivibiv/math_instruct |
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