instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Suppose -2*m - 3*m + t = -20, -10 = -2*t. Suppose -35 = -4*z + m. Solve 0 = 2*y - 0*y + z for y.\n | -5\n | ibivibiv/math_instruct | |
Two letters picked without replacement from ufuffuuufuuuuvfuu. Give prob of sequence uf.\n | 55/272\n | ibivibiv/math_instruct | |
b"What is the yth term of 3954, 7908, 11862?\n" | 3954*y\n | ibivibiv/math_instruct | |
What is the nearest to 1/772 in 5, 3, -0.1?\n | -0.1\n | ibivibiv/math_instruct | |
What is the difference between 5 and -118833?\n | 118838\n | ibivibiv/math_instruct | |
Rearrange -k + 0*k**2 + 0*k**2 + 156*k**3 - 146*k**3 to s*k**3 + z*k**2 + f + l*k and give l.\n | -1\n | ibivibiv/math_instruct | |
Suppose 5*w + 4*p = 14, -p + 4*p = w + 1. Suppose 0 = 6*s - w*s - 228. Suppose 0 = 2*f + a - s, -a + 4*a + 46 = f. Is f prime?\n | True\n | ibivibiv/math_instruct | |
What is next in 2961, 3244, 3529, 3816, 4105?\n | 4396\n | ibivibiv/math_instruct | |
Let v(o) be the third derivative of 7*o**5/20 + 3*o**2. Let p(c) be the first derivative of -c**2/2 - 121. Give p(v(t)).\n | -21*t**2\n | ibivibiv/math_instruct | |
Calculate 4 divided by 55691216.\n | 1/13922804\n | ibivibiv/math_instruct | |
Let l(k) = 86*k**2. Let p(x) = 8*x**2. Calculate l(p(j)).\n | 5504*j**4\n | ibivibiv/math_instruct | |
Let f(y) = y**3 + 8*y**2 + 11*y - 1. Let d = -36 + 30. Let u be f(d). Suppose 5*m - u - 5 = 0. Sort 0, -6, m in decreasing order.\n | m, 0, -6\n | ibivibiv/math_instruct | |
Let k = -27.4 - -27. Let y = 0.026 + -15.026. Which is the smallest value? (a) 0 (b) k (c) y\n | c\n | ibivibiv/math_instruct | |
Expand (-962893*c + 962893*c + 7084*c**2)*(-2*c + 4*c + c + 2).\n | 21252*c**3 + 14168*c**2\n | ibivibiv/math_instruct | |
What is -332.783 rounded to the nearest one hundred?\n | -300\n | ibivibiv/math_instruct | |
Let r(f) = 8*f**3 + f**2 - 1. Let n(k) = -15*k**3 - 2*k**2 + 2. Calculate -6*n(h) - 11*r(h).\n | 2*h**3 + h**2 - 1\n | ibivibiv/math_instruct | |
Which is the biggest value? (a) -0.4 (b) 0.3 (c) 9971 (d) -1/4 (e) 5 (f) -0.06\n | c\n | ibivibiv/math_instruct | |
What is 54830633 divided by -2651?\n | -20683\n | ibivibiv/math_instruct | |
Let y(o) = -616*o**3 + 3*o**2 + 3*o + 1. List the prime factors of y(-1).\n | 617\n | ibivibiv/math_instruct | |
Let t = -307.00217 - -307. What is t rounded to 4 decimal places?\n | -0.0022\n | ibivibiv/math_instruct | |
What is 6/4*(-256)/2688?\n | -1/7\n | ibivibiv/math_instruct | |
What is 98 minutes before 5:51 AM?\n | 4:13 AM\n | ibivibiv/math_instruct | |
Let z = 18 + -16. Suppose r = 6*r + 4*a - 114, z*r - 5*a = 39. Let b = 111 + -47. What is the remainder when b is divided by r?\n | 20\n | ibivibiv/math_instruct | |
Solve 17*r - 238 = 31*r - 10*r + 34*k, 2*r + 94 = 2*k - 14*k for r.\n | -17\n | ibivibiv/math_instruct | |
Collect the terms in -5*j + 3*j**2 + 5*j.\n | 3*j**2\n | ibivibiv/math_instruct | |
Let c be (100/(-6))/(434/(-1302)). Solve 0 = -c*b - 164 + 14 for b.\n | -3\n | ibivibiv/math_instruct | |
Suppose 3*v - 265 = 5*x, -x + 4 = 3*x. Suppose 0 = -17*a + 21*a - 40. Calculate the greatest common divisor of a and v.\n | 10\n | ibivibiv/math_instruct | |
Rearrange (7*n - 24*n + 5*n)*(2 + 3 - 3) to u + x*n and give x.\n | -24\n | ibivibiv/math_instruct | |
What is the derivative of 9695*k*o**2*p**3 + 166*k*o**2 + o**2*p**3 - 2*o*p**3 - 84728*o*p + 5*p**3 wrt k?\n | 9695*o**2*p**3 + 166*o**2\n | ibivibiv/math_instruct | |
Calculate prob of sequence ans when three letters picked without replacement from {a: 2, n: 1, s: 1, w: 3}.\n | 1/105\n | ibivibiv/math_instruct | |
What comes next: 11759, 11756, 11753?\n | 11750\n | ibivibiv/math_instruct | |
What is the third derivative of -33687*j**4 + 21096*j**2 wrt j?\n | -808488*j\n | ibivibiv/math_instruct | |
How many minutes are there between 1:45 AM and 1:57 AM?\n | 12\n | ibivibiv/math_instruct | |
Let m(o) = -o**3 - 168*o**2 + 316*o - 3656. Give m(-170).\n | 424\n | ibivibiv/math_instruct | |
Let z(b) be the third derivative of -b**6/120 - b**5/10 - b**3/6 + 3*b**2. Let d be z(-6). Do d and -1/6 have the same value?\n | False\n | ibivibiv/math_instruct | |
What is -334 (base 5) in base 16?\n | -5e\n | ibivibiv/math_instruct | |
Solve g - 11*w = -167, 3*g + 7*w - 3*w + 1384 = 1438 for g.\n | -2\n | ibivibiv/math_instruct | |
Calculate the highest common divisor of 8408196 and 543724.\n | 3004\n | ibivibiv/math_instruct | |
Let a(g) = -g**3 + 24*g**2 - 26*g + 72. Calculate a(23).\n | 3\n | ibivibiv/math_instruct | |
Let s = -235 + 2583/11. Sort s, -2/3, -2/13 in decreasing order.\n | -2/13, s, -2/3\n | ibivibiv/math_instruct | |
b"What is the th term of -198, -379, -536, -657, -730, -743, -684, -541?\n" | 2*b**3 - 195*b - 5\n | ibivibiv/math_instruct | |
Factor 53465*c**2 - 2833625*c - 1060.\n | 5*(c - 53)*(10693*c + 4)\n | ibivibiv/math_instruct | |
Let j(h) = -26*h**2 - 6020*h - 3268. Determine j(-231).\n | -34\n | ibivibiv/math_instruct | |
Which is the closest to -36? (a) -3 (b) -1/3 (c) -2/3 (d) 0.5\n | a\n | ibivibiv/math_instruct | |
Find t such that -3*t**2 + 3636024*t - 14544048 = 0.\n | 4, 1212004\n | ibivibiv/math_instruct | |
b"What is the mth term of 765, 689, 603, 501, 377?\n" | -m**3 + m**2 - 72*m + 837\n | ibivibiv/math_instruct | |
Let g(v) = 2*v - 1. Let q be 14/(-4)*24/(-42). Suppose -c = 3 - q. Determine g(c).\n | -3\n | ibivibiv/math_instruct | |
What is the greatest common factor of 63 and 7?\n | 7\n | ibivibiv/math_instruct | |
Let k(z) = 3*z**2 + 5*z - 2. Let p be (-208)/(-65) + 3/60*-4. Let h(r) = 0*r**2 + 3*r + 4*r**2 - 3*r**2 - 1. Determine p*k(c) - 5*h(c).\n | 4*c**2 - 1\n | ibivibiv/math_instruct | |
Determine w so that -w**2/2 + 3503675*w - 12275738505625/2 = 0.\n | 3503675\n | ibivibiv/math_instruct | |
Differentiate -1619*x + 1353 with respect to x.\n | -1619\n | ibivibiv/math_instruct | |
What is the tens digit of 15013?\n | 1\n | ibivibiv/math_instruct | |
Suppose 3*t - 89 = -4*p, -100 = -5*t + 3*p + 58. Solve -6 = 5*r - t for r.\n | 5\n | ibivibiv/math_instruct | |
Simplify 1 + -5*(4 + ((1*sqrt(192)*-2)/sqrt(12))/(-5*(6*2*sqrt(8) - sqrt(8)))).\n | -19 - 2*sqrt(2)/11\n | ibivibiv/math_instruct | |
Calculate 11 - (37 + 0 + (310 - 412)).\n | 76\n | ibivibiv/math_instruct | |
Suppose 3*o + 10 = 16. Suppose 149 = 3*d - j, 53 = -3*d + 4*d + 3*j. Let x = d + -28. Calculate the highest common divisor of o and x.\n | 2\n | ibivibiv/math_instruct | |
Let m = 21 - 19.1. Let p = 0.9 - m. What is the third smallest value in 0.2, p, -5?\n | 0.2\n | ibivibiv/math_instruct | |
What is the lowest common multiple of 4120 and 56650?\n | 226600\n | ibivibiv/math_instruct | |
Solve -30*y + 22950 = 168*y + y + 6831 for y.\n | 81\n | ibivibiv/math_instruct | |
Let l(c) = -c**2. Let j(n) = 64123*n**2. What is l(j(r))?\n | -4111759129*r**4\n | ibivibiv/math_instruct | |
Find the third derivative of -11643*b**4*l**2 - 1256*b**4 + 4*b**2*l**2 - b**2*l + b*l**2 + 2*l + 24088 wrt b.\n | -279432*b*l**2 - 30144*b\n | ibivibiv/math_instruct | |
Calculate the remainder when 29366 is divided by 9786.\n | 8\n | ibivibiv/math_instruct | |
Simplify o**22/o**5 assuming o is positive.\n | o**17\n | ibivibiv/math_instruct | |
Which is the smallest value? (a) 3/4 (b) 1/8 (c) 231\n | b\n | ibivibiv/math_instruct | |
b"What is the vth term of -1002462, -1002456, -1002450?\n" | 6*v - 1002468\n | ibivibiv/math_instruct | |
Let n = 20 - 20. Let v be n + 3 - (1 + -547). Let y = -262 + v. Is y prime?\n | False\n | ibivibiv/math_instruct | |
b"What is the th term of 20, 42, 64, 86, 108, 130?\n" | 22*b - 2\n | ibivibiv/math_instruct | |
What is the highest common divisor of 85026 and 8214?\n | 222\n | ibivibiv/math_instruct | |
Is 48168 at most 48162?\n | False\n | ibivibiv/math_instruct | |
Solve -2*f**3/19 + 63058*f**2/19 - 196951478*f/19 + 162405945462/19 = 0.\n | 1699, 28131\n | ibivibiv/math_instruct | |
Let b(u) = 674*u**2 + 2*u + 2. What is b(0)?\n | 2\n | ibivibiv/math_instruct | |
Let q = -0.1 + 0. Let g = 3.5 + 0.5. Let p = -13 - -18. Which is the nearest to q? (a) g (b) -1/4 (c) p\n | b\n | ibivibiv/math_instruct | |
Find the common denominator of -65/8 and 75/788.\n | 1576\n | ibivibiv/math_instruct | |
Sort -2, -14, -10 in increasing order.\n | -14, -10, -2\n | ibivibiv/math_instruct | |
What is the second smallest value in 3.252761, 5, 5/8?\n | 3.252761\n | ibivibiv/math_instruct | |
Let w(h) be the second derivative of 1013*h**4/12 + 34*h**3/3 - h**2/2 - 1575*h. What is the second derivative of w(r) wrt r?\n | 2026\n | ibivibiv/math_instruct | |
Solve 2*b**3 + 52*b**2 - 154128*b - 17716608 = 0 for b.\n | -182, -156, 312\n | ibivibiv/math_instruct | |
What is the fourth biggest value in -2/5, 19, 1, -2, 0.1?\n | -2/5\n | ibivibiv/math_instruct | |
Suppose 88 = 5*u + 2*k, -2*u + 3*k - 18 + 57 = 0. Solve 6 = -4*h + u for h.\n | 3\n | ibivibiv/math_instruct | |
Convert -100 (base 3) to base 15.\n | -9\n | ibivibiv/math_instruct | |
Suppose 10 = -3*z + h + 3, 2*h + 2 = 2*z. Let q = z - -7. Let s(x) = -6*x**3 - x**2 + x + 1. Calculate the smallest common multiple of s(-1) and q.\n | 15\n | ibivibiv/math_instruct | |
What is the third root of 66174 to the nearest integer?\n | 40\n | ibivibiv/math_instruct | |
Let z(d) = 373*d**2. Suppose -5*r + 2*i = -14, 7*r + i = 8*r - 4. Let q(j) = 2*j**r + 2*j**2 - 2*j**2. Determine q(z(b)).\n | 278258*b**4\n | ibivibiv/math_instruct | |
What is 432 minutes before 2:05 AM?\n | 6:53 PM\n | ibivibiv/math_instruct | |
Factor -c**4/10 + 2209*c**3/5 - 19854*c**2/5 + 11907*c - 119043/10.\n | -(c - 4409)*(c - 3)**3/10\n | ibivibiv/math_instruct | |
b"What is the jth term of -4125, -8613, -13103, -17595?\n" | -j**2 - 4485*j + 361\n | ibivibiv/math_instruct | |
Does 43 divide 2322?\n | True\n | ibivibiv/math_instruct | |
Let d be (-22)/(-132) + (-46)/60 + 0. What is the third biggest value in 1/4, d, 0.5?\n | d\n | ibivibiv/math_instruct | |
Find the third derivative of 50*z**2 - 2280*z**2 - 1348*z**2 + 52*z**2 + 2772*z**3 wrt z.\n | 16632\n | ibivibiv/math_instruct | |
Let z = 58 - 64. Let b be 1*(-1)/(2/z - 0). Suppose 5*o = -3*h + 19, 0*o = -2*h + 4*o - 2. Solve -n + 14 = h*y, b*y + y - 18 = -2*n for y.\n | 5\n | ibivibiv/math_instruct | |
Calculate the remainder when 3100 is divided by ((-65)/(-78) - (-1 - -2)) + 1206/108.\n | 9\n | ibivibiv/math_instruct | |
Find the first derivative of 9*s**4 + 3062282*s**2 + 51894940 wrt s.\n | 36*s**3 + 6124564*s\n | ibivibiv/math_instruct | |
Let p(i) = -6*i - 43. Let h(x) = -8*x - 40. Let c(f) = 6*h(f) - 7*p(f). Let u be c(10). Solve 14*w - 15*w + u = 0 for w.\n | 1\n | ibivibiv/math_instruct | |
6a (base 12) to base 8\n | 122\n | ibivibiv/math_instruct | |
Is (-1455492)/30*5/(-2) a prime number?\n | True\n | ibivibiv/math_instruct | |
b"What is the hth term of -105817, -106242, -106667, -107092?\n" | -425*h - 105392\n | ibivibiv/math_instruct | |
Suppose -h + 10*h - 3285 = 0. List the prime factors of h.\n | 5, 73\n | ibivibiv/math_instruct | |
What is the next term in -972597, -972596, -972595, -972594, -972593, -972592?\n | -972591\n | ibivibiv/math_instruct | |
Let c(i) = -3*i + 3. Let b be c(1). Let u(o) be the first derivative of -1/2*o**2 + b*o + 1. Let r(k) = k. Calculate r(u(p)).\n | -p\n | ibivibiv/math_instruct | |
Let -27*d**3/4 - 250*d**2 - 1927*d/4 - 35/2 = 0. Calculate d.\n | -35, -2, -1/27\n | ibivibiv/math_instruct |
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