instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Collect the terms in t**3 - 2*t**3 + 7*t**3 - t**3.\n | 5*t**3\n | ibivibiv/math_instruct | |
-48.3691 * -5.5\n | 266.03005\n | ibivibiv/math_instruct | |
Rearrange 2*f**2 - 21*f + 49*f**3 - 3*f**2 - 53*f**3 to the form x*f + z + c*f**3 + u*f**2 and give c.\n | -4\n | ibivibiv/math_instruct | |
Let f(j) = -45*j - 133. Let b be f(-3). Put -0.0032, b, -4 in ascending order.\n | -4, -0.0032, b\n | ibivibiv/math_instruct | |
Suppose -36*o + 23*o = -20*o. Suppose 2 + 2 = 2*w. Which is bigger: w or o?\n | w\n | ibivibiv/math_instruct | |
Let v be ((-46)/(-1955)*34)/((-14)/10). Which is the second biggest value? (a) v (b) 3/25 (c) 4/7 (d) 3/5\n | c\n | ibivibiv/math_instruct | |
Which is greater: -1 or -1172/1897?\n | -1172/1897\n | ibivibiv/math_instruct | |
b"What is the sth term of -190, -378, -566, -754, -942, -1130?\n" | -188*s - 2\n | ibivibiv/math_instruct | |
Let k = 15 - 17. Sort k, 11, 2.\n | k, 2, 11\n | ibivibiv/math_instruct | |
What is next in 381390, 381389, 381388, 381387?\n | 381386\n | ibivibiv/math_instruct | |
What is 12e8a3 (base 15) in base 13?\n | 25b17a\n | ibivibiv/math_instruct | |
Solve -129*f = -31*f - 1176 for f.\n | 12\n | ibivibiv/math_instruct | |
b"What is the mth term of -27301, -53865, -80429?\n" | -26564*m - 737\n | ibivibiv/math_instruct | |
Let w = 1 + -1.1. Let v = -11/38 + -4/19. Which is the second smallest value? (a) 4 (b) v (c) w\n | c\n | ibivibiv/math_instruct | |
Suppose 6*k = 11*k - 505. Suppose 0 = -3*v + k + 43. Calculate the remainder when 71 is divided by (v/(-32))/(2/(-24)).\n | 17\n | ibivibiv/math_instruct | |
-201000 (base 3) to base 15\n | -243\n | ibivibiv/math_instruct | |
Two letters picked without replacement from dbbbbdbdbbdbdddddddb. What is prob of picking 2 b?\n | 18/95\n | ibivibiv/math_instruct | |
Expand ((2 - 4 + 0 + (-5 + 2 + 4)*(-2 + 4 - 4))*(0*x - 4*x - 2*x) - 6*x + 5*x + 11*x)*(-5*x**2 + 5*x**3 + 5*x**2).\n | 170*x**4\n | ibivibiv/math_instruct | |
Simplify (u**(-1/4)*u*u*u**(-4)*((u**(2/3)/u)/u)**(3/7))**(-29) assuming u is positive.\n | u**(2291/28)\n | ibivibiv/math_instruct | |
What is the thousands digit of 5256?\n | 5\n | ibivibiv/math_instruct | |
Does 10 divide 27391358?\n | False\n | ibivibiv/math_instruct | |
Sort -2, 3, 2, -4, 3196879 in increasing order.\n | -4, -2, 2, 3, 3196879\n | ibivibiv/math_instruct | |
Let o be (2 + -1)/(7/14). Suppose o*z + 1815 = 5*z. Suppose -3*q + 347 = -0*q + 2*p, -5*q + 2*p = -z. Is q a composite number?\n | True\n | ibivibiv/math_instruct | |
What is the result of the following expression?
52.2026 % 66.8413 | 52.2026 | ibivibiv/math_instruct | |
Convert 3 (base 6) to base 15.\n | 3\n | ibivibiv/math_instruct | |
Is 3 + 9*5 + (3 - 3) a multiple of 12?\n | True\n | ibivibiv/math_instruct | |
Simplify 1 + (-5 + sqrt(200) + 0 + sqrt(200) + (sqrt(200) + 2*sqrt(200)*-3 - sqrt(200) - sqrt(200)))**2.\n | 500*sqrt(2) + 5026\n | ibivibiv/math_instruct | |
Rearrange 369*r**2 - 106 + 376*r**2 + 370*r**2 - 1120*r**2 to z + a*r + h*r**2 and give h.\n | -5\n | ibivibiv/math_instruct | |
Let x(n) be the first derivative of -3993*n**5/20 - 241395*n**4/16 + 22077*n**3/2 - 6033*n**2/2 + 366*n - 456. Factor x(s).\n | -3*(s + 61)*(11*s - 2)**3/4\n | ibivibiv/math_instruct | |
Let z = -1099.2 + 1099. Let o = -2 + 0.8. Let x = 0.2 + o. Which is the closest to x? (a) -8 (b) 0.5 (c) z\n | c\n | ibivibiv/math_instruct | |
List the prime factors of 718.\n | 2, 359\n | ibivibiv/math_instruct | |
Find the second derivative of 243*d**2 + 706*d wrt d.\n | 486\n | ibivibiv/math_instruct | |
Simplify ((n**2)**(-1/14))**(-18) assuming n is positive.\n | n**(18/7)\n | ibivibiv/math_instruct | |
-1101 (base 2) to base 16\n | -d\n | ibivibiv/math_instruct | |
Let n = 13.117 - 14. Let o = -0.117 + n. What is the closest to 0.1 in 5, 7, o?\n | o\n | ibivibiv/math_instruct | |
Simplify ((b/b**(-11)*b*b)/b**(2/9)*b**(-15)*b/b**(-3/5))**(2/3) assuming b is positive.\n | b**(34/135)\n | ibivibiv/math_instruct | |
Collect the terms in -87*s + 49*s + 40*s.\n | 2*s\n | ibivibiv/math_instruct | |
Find the second derivative of n**3*s + 30*n**3 + 2*n**2*s + 5*n**2 + 21*n*s - 2*n - 416 wrt n.\n | 6*n*s + 180*n + 4*s + 10\n | ibivibiv/math_instruct | |
Simplify (((sqrt(891) + 0)*1 + sqrt(891) + 0 + -5)*3*-4)**2.\n | -25920*sqrt(11) + 516816\n | ibivibiv/math_instruct | |
Express (10 - 10 + 2*b**4)*(4 + 1 - 1) in the form k + u*b**3 + r*b**4 + m*b**2 + j*b and give k.\n | 0\n | ibivibiv/math_instruct | |
Put 0.1, 1/2, 4, 2/5, -231 in descending order.\n | 4, 1/2, 2/5, 0.1, -231\n | ibivibiv/math_instruct | |
Rearrange -121*a + 239*a - 120*a - a**2 + 4*a**3 - 1 to the form r*a + j + z*a**3 + x*a**2 and give r.\n | -2\n | ibivibiv/math_instruct | |
-25176 divided by 8392\n | -3\n | ibivibiv/math_instruct | |
Calculate the remainder when (138/2 - -2) + -3 is divided by 23.\n | 22\n | ibivibiv/math_instruct | |
Simplify sqrt(28)/((sqrt(396) + sqrt(44))/sqrt(11) - sqrt(4)).\n | sqrt(7)/3\n | ibivibiv/math_instruct | |
Let p(i) = i + 6. Let u be p(-8). Calculate the remainder when 9 is divided by (-33)/(-7) - u/7.\n | 4\n | ibivibiv/math_instruct | |
In base 6, what is 43145 - 3114?\n | 40031\n | ibivibiv/math_instruct | |
Suppose -5*i + 4*w + 55 = 0, i + 0*i + 2*w = 11. Let o = -12 + 12. Solve -2*z - i = -3*b, o*b + 5*b = -5*z + 10 for b.\n | 3\n | ibivibiv/math_instruct | |
Round 310000 to the nearest 100000.\n | 300000\n | ibivibiv/math_instruct | |
Calculate -421404 divided by 70234.\n | -6\n | ibivibiv/math_instruct | |
Let v(y) = -y**2 + 1. Let u(c) be the third derivative of -11*c**5/30 - 316*c**2. Give u(v(k)).\n | -22*k**4 + 44*k**2 - 22\n | ibivibiv/math_instruct | |
Multiply -0.367 and -38859.\n | 14261.253\n | ibivibiv/math_instruct | |
Calculate the remainder when 3464 is divided by 35.\n | 34\n | ibivibiv/math_instruct | |
Let g(n) = 8*n**3 + n**2 - n + 4. Let z be g(-3). Let c be z/(-11) + 8/(-44). Calculate the greatest common divisor of c and 18.\n | 18\n | ibivibiv/math_instruct | |
Calculate the common denominator of 16/21 and 71/7923468.\n | 7923468\n | ibivibiv/math_instruct | |
What are the prime factors of 1310421?\n | 3, 7, 62401\n | ibivibiv/math_instruct | |
Let g be (2 - -2)/4 + -4. Let y(m) = 2*m**2 + 4*m. Calculate y(g).\n | 6\n | ibivibiv/math_instruct | |
What is 131736430 to the power of 1/3, to the nearest integer?\n | 509\n | ibivibiv/math_instruct | |
What is the ten thousands digit of 71879?\n | 7\n | ibivibiv/math_instruct | |
((-50)/(-500) + (-4)/16)*40/(-225)\n | 2/75\n | ibivibiv/math_instruct | |
Let t be (-1 + 11 - (19 + -71)) + 0/(-1). Suppose -n = -4, 0*a = 3*a + 5*n - 32. Solve a*h - 78 = -t for h.\n | 4\n | ibivibiv/math_instruct | |
Four letters picked without replacement from {m: 2, c: 1, i: 3, z: 3, l: 1, e: 1}. What is prob of sequence ecii?\n | 1/1320\n | ibivibiv/math_instruct | |
In base 6, what is 113332023344 + -4?\n | 113332023340\n | ibivibiv/math_instruct | |
Find the third derivative of -7*z**3 - 130*z**3 + 32*z**3 + 116*z**2 - 8*z**2 wrt z.\n | -630\n | ibivibiv/math_instruct | |
Let p(t) be the second derivative of -5*t**7/42 + t**5/4 - t**4/6 - 5*t**3/2 + 57*t. What is the third derivative of p(r) wrt r?\n | -300*r**2 + 30\n | ibivibiv/math_instruct | |
What comes next: 109, -104, -553, -1244, -2183, -3376, -4829?\n | -6548\n | ibivibiv/math_instruct | |
Calculate 32219896 divided by 4.\n | 8054974\n | ibivibiv/math_instruct | |
34 (base 16) to base 2\n | 110100\n | ibivibiv/math_instruct | |
What are the prime factors of 236426324?\n | 2, 59106581\n | ibivibiv/math_instruct | |
Which is smaller: -7/292393592 or 0?\n | -7/292393592\n | ibivibiv/math_instruct | |
Suppose x + 3*u = 31, 5*x + u - 46 = 39. Suppose 14*t = x*t - 94. Is 9 a factor of t?\n | False\n | ibivibiv/math_instruct | |
In base 12, what is -6 - -b020?\n | b016\n | ibivibiv/math_instruct | |
Is 1215337 a composite number?\n | True\n | ibivibiv/math_instruct | |
Total of 8.61632 and -0.26942.\n | 8.3469\n | ibivibiv/math_instruct | |
Is 199049 a prime number?\n | True\n | ibivibiv/math_instruct | |
Simplify 3*sqrt(17)*5 - sqrt(136)/(sqrt(32)/sqrt(4)).\n | 14*sqrt(17)\n | ibivibiv/math_instruct | |
Rearrange (-3*u + 3 - 3)*(3*u - 2*u - 2*u) + (-u + 2 - 2)*(u - u + u) - 6*u**2 - 5*u**2 - 15*u**2 to v + r*u**2 + a*u and give r.\n | -24\n | ibivibiv/math_instruct | |
Which is the smallest value? (a) -0.2 (b) 2428 (c) 95\n | a\n | ibivibiv/math_instruct | |
b"What is the fth term of 109, 131, 97, 7, -139?\n" | -28*f**2 + 106*f + 31\n | ibivibiv/math_instruct | |
Let a(s) = 10*s + s + 1 + 2*s. Let w(j) = -4*j. Let i = -36 - -34. Determine i*a(k) - 7*w(k).\n | 2*k - 2\n | ibivibiv/math_instruct | |
Let o = 132.6 - 132.53. What is the third biggest value in o, -5, 2/241?\n | -5\n | ibivibiv/math_instruct | |
Rearrange (-1 + 1 + 5)*(1 + 1 - 2*c - c) to o + k*c and give k.\n | -15\n | ibivibiv/math_instruct | |
List the prime factors of 135657121.\n | 1297, 104593\n | ibivibiv/math_instruct | |
Let h(i) = i**2 + 7*i - 12. Let y be h(-9). Find z, given that z - 12*z**2 - 6*z**3 + y*z**4 - 2 + 3*z**5 + 2*z + 8 + 0*z = 0.\n | -2, -1, 1\n | ibivibiv/math_instruct | |
Let d be -16*(-7 + 570/80). Sort -5, d, 4, -11, -7 in increasing order.\n | -11, -7, -5, d, 4\n | ibivibiv/math_instruct | |
Let v be (4 - 1610/135)/(268/6). Let i = 3/67 - v. Let n = -347 - -346. Which is the nearest to -1/7? (a) 4 (b) i (c) n\n | b\n | ibivibiv/math_instruct | |
Expand (5*u - 3*u - u)*(-4 + 9 + 6)*(4 + 0 - 1) - u + 3 - 3.\n | 32*u\n | ibivibiv/math_instruct | |
Suppose -50 = -3*u - 11. Let v be (-2)/(-5) - (-416)/10. Suppose 218 = 4*r - v. Calculate the greatest common factor of u and r.\n | 13\n | ibivibiv/math_instruct | |
Let a = -4375 + 21676/5. Let j = -821/20 - a. Find the common denominator of j and -71/9.\n | 36\n | ibivibiv/math_instruct | |
Let u be ((16/2)/64)/(2/(-4)). Let s be (-5)/(-12)*12/15. Sort u, 0.3, -2, s in decreasing order.\n | s, 0.3, u, -2\n | ibivibiv/math_instruct | |
6/(-4)*(247/39)/19\n | -1/2\n | ibivibiv/math_instruct | |
What is -1512 times 5.31?\n | -8028.72\n | ibivibiv/math_instruct | |
Calculate 22 divided by -2.\n | -11\n | ibivibiv/math_instruct | |
What is the highest common factor of 545224 and 10982?\n | 646\n | ibivibiv/math_instruct | |
What is (((-2)/6)/(3/18))/(-13)?\n | 2/13\n | ibivibiv/math_instruct | |
Which is the third smallest value? (a) -19 (b) -7 (c) -14/13463\n | c\n | ibivibiv/math_instruct | |
Three letters picked without replacement from {a: 1, w: 3, k: 1, b: 3, d: 9, u: 2}. What is prob of picking 1 a, 1 u, and 1 w?\n | 2/323\n | ibivibiv/math_instruct | |
Which is the nearest to -18? (a) 3/14 (b) 3336 (c) -5 (d) -0.1\n | c\n | ibivibiv/math_instruct | |
What comes next: -331, -3033, -10227, -24103, -46851, -80661, -127723, -190227?\n | -270363\n | ibivibiv/math_instruct | |
What is 4 (base 12) in base 6?\n | 4\n | ibivibiv/math_instruct |
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