instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
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Let y be (15/(-2))/(20/40). Let j(t) = -t**2 - 15*t + 7. Let u be j(y). Suppose 0 = -3*x - 2*b + 8, x + b - u = -4*b. Solve -x*q - 2*q = -20 for q.\n | 5\n | ibivibiv/math_instruct | |
Let w = 79 + -83. Let o be (1/(-2))/(20/5). Sort 1/3, w, o in descending order.\n | 1/3, o, w\n | ibivibiv/math_instruct | |
Collect the terms in 91 + 77 - 87 + 74 + 8*l.\n | 8*l + 155\n | ibivibiv/math_instruct | |
2244 divided by 6\n | 374\n | ibivibiv/math_instruct | |
Is 4555669 prime?\n | False\n | ibivibiv/math_instruct | |
List the prime factors of 47315.\n | 5, 9463\n | ibivibiv/math_instruct | |
In base 2, what is 11110 + 1110?\n | 101100\n | ibivibiv/math_instruct | |
Let j(f) = -3*f**2 + 119*f - 73. Let k = 423 - 384. Let u be j(k). Solve -q + 0 - 5 = 2*i, -2*i - 9 = u*q for q.\n | -1\n | ibivibiv/math_instruct | |
Write an educational piece suited for college students related to the following text snippet:
"How to make predictions based on correlations?
I have correlation values for profit based on three different attributes - attribute1,attribute2,attribute3. Now I want to make predictions for the profit based on these 3 diffe... | When dealing with statistical data, it's common to encounter situations where you need to establish relationships between variables and utilize those insights to make predictions. One key concept in this context is correlation, which measures the strength and direction of a relationship between two continuous variable... | ibivibiv/math_instruct | |
What comes next: 36209, 290112, 979279, 2321342, 4533933, 7834684?\n | 12441227\n | ibivibiv/math_instruct | |
Is 205092264415 a composite number?\n | True\n | ibivibiv/math_instruct | |
Let j(w) be the third derivative of -7*w**5/30 - 5*w**3/3 + 4*w**2. Differentiate j(o) with respect to o.\n | -28*o\n | ibivibiv/math_instruct | |
Let f = -32 + 31. Put 7, 3, f in ascending order.\n | f, 3, 7\n | ibivibiv/math_instruct | |
Let o = 19511 + -18322.9. Let i = -1188.099995003 + o. What is i rounded to seven dps?\n | 0.000005\n | ibivibiv/math_instruct | |
Let n(c) = 2*c**3 - 283*c**2 + 695*c - 9. Calculate n(139).\n | -9\n | ibivibiv/math_instruct | |
Is 9 a factor of 381?\n | False\n | ibivibiv/math_instruct | |
Let q(t) = t**3 + 6*t**2 + 4*t - 5. Let b be q(-5). Let n be 12/(-4) - b/(-2). Let z(w) = -w + 3. Calculate z(n).\n | 6\n | ibivibiv/math_instruct | |
Let p(t) = t**2 + 10*t - 7. Calculate p(-6).\n | -31\n | ibivibiv/math_instruct | |
Suppose -1138*r = -1110*r - 84. Solve -r*m + t = 9, 2*m - 2*t + 7 - 1 = 0 for m.\n | -3\n | ibivibiv/math_instruct | |
What is next in 421, 340, 125, -290, -971, -1984?\n | -3395\n | ibivibiv/math_instruct | |
Let s = -21659/35 - -3092/5. Which is the fourth smallest value? (a) s (b) 0 (c) -1 (d) -2 (e) 2/7\n | b\n | ibivibiv/math_instruct | |
Let l(j) = 2*j**2 - 2*j - 4 + 2 + 3*j - 3. Let c be l(-5). Suppose -z + 5*d = 4*z - c, -4*d - 12 = z. What is the units digit of z?\n | 4\n | ibivibiv/math_instruct | |
Let z = 4727/8 + -591. Let k = -0.1 + 3.1. Which is the second smallest value? (a) k (b) z (c) -3/5\n | b\n | ibivibiv/math_instruct | |
Sort -3, 0.1, 42, 232, -5, 0.2.\n | -5, -3, 0.1, 0.2, 42, 232\n | ibivibiv/math_instruct | |
Which is the third biggest value? (a) 9 (b) 6 (c) -77 (d) -11 (e) -1/3 (f) 0 (g) -3\n | f\n | ibivibiv/math_instruct | |
Let s be ((-970)/4)/((-1)/(-22)). Let c = -2843556/533 - s. Let a = -4787/5330 + c. What is the common denominator of a and -29/12?\n | 60\n | ibivibiv/math_instruct | |
What is 656 to the power of 1/2, to the nearest integer?\n | 26\n | ibivibiv/math_instruct | |
Let c = -4543147 - -4543114.00003. Let m = c + 33. Round m to five decimal places.\n | 0.00003\n | ibivibiv/math_instruct | |
Is 964 at most as big as -1144?\n | False\n | ibivibiv/math_instruct | |
What is the millions digit of 33550639?\n | 3\n | ibivibiv/math_instruct | |
What is the tens digit of 1502166?\n | 6\n | ibivibiv/math_instruct | |
Calculate the least common multiple of 104958 and 7.\n | 104958\n | ibivibiv/math_instruct | |
Is 2624 a multiple of 16?\n | True\n | ibivibiv/math_instruct | |
Let g = 2 - 7. Let b(k) be the third derivative of -k**6/120 - k**5/12 - k**4/24 - k**3/3 + 20*k**2. What are the prime factors of b(g)?\n | 3\n | ibivibiv/math_instruct | |
Solve 0 = 5*c - 14*p - 258, 21*c + 5*p = 20*c - 81 for c.\n | 4\n | ibivibiv/math_instruct | |
Let q be (-618)/(-927) - ((-30)/(-11) + 2 + -4). Which is the second biggest value? (a) -3 (b) 1/5 (c) q (d) 2/13 (e) 0.6\n | b\n | ibivibiv/math_instruct | |
Which is smaller: -1 or 833/24741?\n | -1\n | ibivibiv/math_instruct | |
What comes next: -945, -1818, -2619, -3342, -3981, -4530?\n | -4983\n | ibivibiv/math_instruct | |
What is -4 - (-6 - 4) - 6?\n | 0\n | ibivibiv/math_instruct | |
Let z(h) = -9560*h**2 - 9524*h + 75. Let r(g) = 14340*g**2 + 14285*g - 120. Let w(d) = 5*r(d) + 8*z(d). What is the second derivative of w(f) wrt f?\n | -9560\n | ibivibiv/math_instruct | |
Is 536594189 composite?\n | False\n | ibivibiv/math_instruct | |
In base 5, what is -23311134 + -1?\n | -23311140\n | ibivibiv/math_instruct | |
Let h = -7 + 4. Sort 5, -6, h, -1.\n | -6, h, -1, 5\n | ibivibiv/math_instruct | |
Two letters picked without replacement from {l: 3, o: 3, n: 2, h: 1, c: 1, x: 1}. What is prob of picking 1 n and 1 h?\n | 2/55\n | ibivibiv/math_instruct | |
Let g(i) = 3*i - 1. Let x be g(-1). Let j be (x/6)/(28/(-6)). Which is the second biggest value? (a) 1/2 (b) j (c) 3/2\n | a\n | ibivibiv/math_instruct | |
Three letters picked without replacement from xmrwrrrrrmrrmwxmrrrm. Give prob of picking 2 x and 1 w.\n | 1/570\n | ibivibiv/math_instruct | |
Divide -161161242 by 1965381.\n | -82\n | ibivibiv/math_instruct | |
Let r = -3.2776 - -0.2776. Which is the third smallest value? (a) 75/13 (b) 2/9 (c) r\n | a\n | ibivibiv/math_instruct | |
Suppose 0 = -d + 4*l + 74, -4*d - 3*l = -6*d + 123. What is the units digit of d?\n | 4\n | ibivibiv/math_instruct | |
What is next in 4, 9, 18, 31, 48, 69?\n | 94\n | ibivibiv/math_instruct | |
Is 267359136 a multiple of 1802?\n | True\n | ibivibiv/math_instruct | |
Calculate the smallest common multiple of 936 and 4680.\n | 4680\n | ibivibiv/math_instruct | |
Calculate the remainder when 214 is divided by 55.\n | 49\n | ibivibiv/math_instruct | |
Let o(n) = -n**2 - 10217*n + 20437. Determine o(2).\n | -1\n | ibivibiv/math_instruct | |
What is the next term in -291, -1309, -3013, -5409, -8503, -12301, -16809?\n | -22033\n | ibivibiv/math_instruct | |
Solve 0 = -3*r + 27, -l + 0*l - 5*r + 60 - 11 = 0 for l.\n | 4\n | ibivibiv/math_instruct | |
Calculate the remainder when 64057 is divided by 63779.\n | 278\n | ibivibiv/math_instruct | |
Let v be 4/2 + (60/27 - 4). Factor 0 - 2/9*d**3 + 2/9*d**2 + v*d - 2/9*d**4.\n | -2*d*(d - 1)*(d + 1)**2/9\n | ibivibiv/math_instruct | |
Simplify ((y**(-1/22)*y/y**5*y*y)**(5/8))**22 assuming y is positive.\n | y**(-225/8)\n | ibivibiv/math_instruct | |
Let s(p) be the first derivative of p**7/21 + p**3 + 23*p**2/2 - 2. Let h(d) be the second derivative of s(d). Find the first derivative of h(v) wrt v.\n | 40*v**3\n | ibivibiv/math_instruct | |
Calculate (77/((-15015)/234))/((-7)/(21/(-6))).\n | -3/5\n | ibivibiv/math_instruct | |
Calculate prob of sequence aaee when four letters picked without replacement from eeaaeeee.\n | 1/28\n | ibivibiv/math_instruct | |
((-793)/(-2196) + (-11)/(5 - -391))*183\n | 61\n | ibivibiv/math_instruct | |
b"What is the hth term of 690, 1378, 2068, 2760, 3454?\n" | h**2 + 685*h + 4\n | ibivibiv/math_instruct | |
Let z(h) = -h. Let n(b) = -b. Let r = -38 + 37. Let q(t) = 8*t. Let j(o) = r*q(o) - 4*n(o). Determine z(j(i)).\n | 4*i\n | ibivibiv/math_instruct | |
Let b(o) = o**3 + 13*o**2 + 3. Let t be b(-13). Suppose -l = 3*x + t*l - 72, -72 = -3*x - l. Solve 4*r + f = -f - x, -r - 4*f = 13 for r.\n | -5\n | ibivibiv/math_instruct | |
Is 23 a factor of 91293?\n | False\n | ibivibiv/math_instruct | |
Sort 3, -0.03409, 2/15, 5, -72.\n | -72, -0.03409, 2/15, 3, 5\n | ibivibiv/math_instruct | |
List the prime factors of 19271421.\n | 3, 13, 17, 9689\n | ibivibiv/math_instruct | |
What is 0.0568 take away 10859142954?\n | -10859142953.9432\n | ibivibiv/math_instruct | |
What is the thousands digit of 1317?\n | 1\n | ibivibiv/math_instruct | |
Let q = -38 - -41. Is q not equal to 3?\n | False\n | ibivibiv/math_instruct | |
Let t(f) = -2*f - 4*f + 5*f. Let o(n) = 3*n**2 - 9*n. Give t(o(c)).\n | -3*c**2 + 9*c\n | ibivibiv/math_instruct | |
Is 3534624 a multiple of 108?\n | True\n | ibivibiv/math_instruct | |
Is 1.945 at least as big as -10438?\n | True\n | ibivibiv/math_instruct | |
Solve -3*u = -2 - 4, -4*k = -4*u + 5 + 11 for k.\n | -2\n | ibivibiv/math_instruct | |
Does 13 divide 2567?\n | False\n | ibivibiv/math_instruct | |
Four letters picked without replacement from hdladhdydhhhdadd. What is prob of sequence hlda?\n | 1/624\n | ibivibiv/math_instruct | |
b"What is the xth term of 5244, 5295, 5346, 5397, 5448?\n" | 51*x + 5193\n | ibivibiv/math_instruct | |
Find the second derivative of -3*q**5 + 4438*q**4 - 12850*q + 1.\n | -60*q**3 + 53256*q**2\n | ibivibiv/math_instruct | |
Let h(u) = -2*u**3 - 3*u**2 + 2*u + 7. Let n be h(-5). Suppose 100 = y - 2*v, v = 2*y - 25 - n. List the prime factors of y.\n | 2, 7\n | ibivibiv/math_instruct | |
Let h = -1 - -3. Let j = 50 - 50.5. Which is the closest to 1? (a) 0.1 (b) j (c) h\n | a\n | ibivibiv/math_instruct | |
What is -537990 + -99.396064?\n | -538089.396064\n | ibivibiv/math_instruct | |
In base 5, what is 2 + 432324?\n | 432331\n | ibivibiv/math_instruct | |
Suppose -4*a + 45 = -5*k, -40 = -a - 2*a + 5*k. Let z(q) = -q**3 + 3*q**2 + 13*q - 12. Let x be z(a). Suppose 293 = x*c - 172. What are the prime factors of c?\n | 5, 31\n | ibivibiv/math_instruct | |
Is 50357 a composite number?\n | True\n | ibivibiv/math_instruct | |
Let r(a) = 6*a + 6. What is r(4)?\n | 30\n | ibivibiv/math_instruct | |
What is prob of sequence ig when two letters picked without replacement from liillllllliililigili?\n | 2/95\n | ibivibiv/math_instruct | |
b"What is the sth term of -267814, -537132, -806450, -1075768, -1345086, -1614404?\n" | -269318*s + 1504\n | ibivibiv/math_instruct | |
Suppose 408 = s + 5*s. Suppose 0 = -5*a + 7 + 13. What is the tens digit of s/6 + a/(-12)?\n | 1\n | ibivibiv/math_instruct | |
What is the fourth biggest value in 61, -1, -0.34, -0.078?\n | -1\n | ibivibiv/math_instruct | |
What is the value of -3 + (12 - (-235)/(-25))?\n | -2/5\n | ibivibiv/math_instruct | |
How many grams are there in 0.1173075ug?\n | 0.0000001173075\n | ibivibiv/math_instruct | |
Simplify (g**(-2/11)*g*g*g**(5/6)*g*(g*g*g**(-1/9)/g)/(g*g**6))**(-27) assuming g is positive.\n | g**(1461/22)\n | ibivibiv/math_instruct | |
Let i(c) be the first derivative of -1/48*c**4 - 1/240*c**5 - 1/24*c**3 + 0*c + c**2 - 2. Let s(y) be the second derivative of i(y). Factor s(z).\n | -(z + 1)**2/4\n | ibivibiv/math_instruct | |
Let w(q) be the third derivative of q**6/60 - 7*q**5/30 - 11*q**4/8 + q**3/3 + 4*q**2 + 3. Is w(19) a composite number?\n | False\n | ibivibiv/math_instruct | |
Expand (2 - o - 2)*(4 - 3 + 0) + 5*o + 1 + o + 2*o.\n | 7*o + 1\n | ibivibiv/math_instruct | |
Is 435 at most 2182/5?\n | True\n | ibivibiv/math_instruct | |
Rearrange -118*n + 118*n - 10*n**2 to the form c*n + z*n**2 + l and give z.\n | -10\n | ibivibiv/math_instruct | |
Let a(s) = -s. Let f be a(-5). Let z be 8 + 7/((-21)/12). Solve -z*i = -f + 25 for i.\n | -5\n | ibivibiv/math_instruct |
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