instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
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What is the result of the following expression?
-2.8346 % -63.1394 | -2.8346 | ibivibiv/math_instruct | |
Is 352 a multiple of 9?\n | False\n | ibivibiv/math_instruct | |
Is 878894389 a prime number?\n | False\n | ibivibiv/math_instruct | |
What is prob of picking 3 k and 1 v when four letters picked without replacement from {w: 1, k: 6, o: 6, v: 5}?\n | 5/153\n | ibivibiv/math_instruct | |
Let y(q) = -3 + 0 + 29*q**2 - 5*q**2 + 2 - 1. Let c(k) = -63*k**2 - 2*k. What is c(y(s))?\n | -36288*s**4 + 6000*s**2 - 248\n | ibivibiv/math_instruct | |
Let a = 0.132 - -0.068. Suppose -20 - 4 = -2*y. Let q be -4 - 2/y*-26. What is the closest to 4 in a, -1/3, q?\n | q\n | ibivibiv/math_instruct | |
153104992 divided by 88808\n | 1724\n | ibivibiv/math_instruct | |
Let h(n) = 2*n**2 + 132*n - 710. Let f be h(-71). Solve 1/5*l**4 + f*l**3 + 0*l + 0 + 0*l**2 + 1/5*l**5 = 0.\n | -1, 0\n | ibivibiv/math_instruct | |
Is 1199669 composite?\n | True\n | ibivibiv/math_instruct | |
Let q(f) = -210419*f + 968. Let z(r) = 1307*r - 6. Determine -3*q(s) - 484*z(s).\n | -1331*s\n | ibivibiv/math_instruct | |
b"What is the xth term of 185, 194, 213, 248, 305, 390, 509, 668?\n" | x**3 - x**2 + 5*x + 180\n | ibivibiv/math_instruct | |
Suppose 0 = -68*o + 71*o + 135. Let b = 45 + o. Solve 3*u = -b*u + 3 for u.\n | 1\n | ibivibiv/math_instruct | |
What is the closest to 0.1 in 463.87, -1, 13/2?\n | -1\n | ibivibiv/math_instruct | |
Suppose 3*j = 7*r - 3*r - 10, -j = r - 6. Suppose -8*v + 7*v + 3 = 0. Suppose -b = -6 + 4. Solve 4*f - 2*f = -b, 11 = r*x - v*f for x.\n | 2\n | ibivibiv/math_instruct | |
What are the prime factors of 44390?\n | 2, 5, 23, 193\n | ibivibiv/math_instruct | |
Let a(m) = m**3 + m + 6. Let j be -5 + 3 - 1*-2. Give a(j).\n | 6\n | ibivibiv/math_instruct | |
Let i be -1 + 2/4 + 27/(-6). Let v(b) = b**3 + 5*b**2 + 3. Calculate v(i).\n | 3\n | ibivibiv/math_instruct | |
Which is the smallest value? (a) -0.2 (b) -35 (c) -553 (d) 10\n | c\n | ibivibiv/math_instruct | |
Let b = 1 - -2. Solve 0 = o + 2*o - b for o.\n | 1\n | ibivibiv/math_instruct | |
Let u(j) = -24*j. Let k(d) be the second derivative of 1/12*d**4 + 0 + 0*d**3 + 0*d**2 + 4*d. Give k(u(o)).\n | 576*o**2\n | ibivibiv/math_instruct | |
What is 0.993064 millilitres in litres?\n | 0.000993064\n | ibivibiv/math_instruct | |
Calculate the greatest common factor of 432 and 264.\n | 24\n | ibivibiv/math_instruct | |
Suppose -9*u + 1190 = -43*u. Is 2/27 >= u?\n | True\n | ibivibiv/math_instruct | |
Sort -2, 3, -8, 4, 1, -33 in decreasing order.\n | 4, 3, 1, -2, -8, -33\n | ibivibiv/math_instruct | |
Suppose 18*z = 15*z + 6. Let y = 1.9 - 1.5. Let u = 2 - 2. Which is the closest to z? (a) y (b) u (c) -2\n | a\n | ibivibiv/math_instruct | |
Sort 8, 0.4, -0.149 in increasing order.\n | -0.149, 0.4, 8\n | ibivibiv/math_instruct | |
Let l(s) be the second derivative of -s**7/35 - s**3 + 3*s**2/2 - 3*s. Let m(x) be the first derivative of l(x). Differentiate m(y) wrt y.\n | -24*y**3\n | ibivibiv/math_instruct | |
Write an educational piece suited for college students related to the following text snippet:
"# Is there a name for the set of bit combinations of bitstrings?
Let $A \subset \{0,1\}^n$ be a set of $n$-bit bit vectors. Let me call a bit vector $b = (b^{(1)}, b^{(2)}, \dotsc, b^{(n)}) \in \{0,1\}^n$ a "bit combination"... | The mathematical object you are describing, denoted by $B\_A$, can indeed be thought of as a generalization of the notion of a convex hull from linear algebra and geometry. Instead of taking convex combinations of points in a Euclidean space, as in the definition of the classical convex hull, you consider "bit combina... | ibivibiv/math_instruct | |
Which is smaller: -287109 or -287151?\n | -287151\n | ibivibiv/math_instruct | |
Which is the closest to -40/3? (a) 41 (b) 0.3 (c) 1\n | b\n | ibivibiv/math_instruct | |
Let p(j) = -11*j - 2. Let r(h) = -5*h - 1. Let u(f) = -p(f) + 2*r(f). Let c(q) = -43*q**2. What is u(c(v))?\n | -43*v**2\n | ibivibiv/math_instruct | |
Let g be ((-2)/6 + 65/(-39))/(-1). Suppose -5*r + 6141 = g*s, 2*s - 3*r + 2*r - 6171 = 0. Is s a composite number?\n | False\n | ibivibiv/math_instruct | |
What is the second smallest value in 0, -0.5, 5/3?\n | 0\n | ibivibiv/math_instruct | |
Is 863263 prime?\n | False\n | ibivibiv/math_instruct | |
How many minutes are there between 10:27 AM and 9:44 PM?\n | 677\n | ibivibiv/math_instruct | |
Subtract -5 from 0.4058104182908.\n | 5.4058104182908\n | ibivibiv/math_instruct | |
Let d(w) = -6*w + 5. Let t(h) = h - 1. Let k(v) = d(v) + 2*t(v). Give k(2).\n | -5\n | ibivibiv/math_instruct | |
What comes next: -535, -1095, -1655, -2215, -2775, -3335?\n | -3895\n | ibivibiv/math_instruct | |
Is 9 a factor of 1666?\n | False\n | ibivibiv/math_instruct | |
Find the third derivative of 9*g**4 + 2*g**3 + 4*g**2 + 36*g wrt g.\n | 216*g + 12\n | ibivibiv/math_instruct | |
Let a(r) = 73*r + 427. What is a(-6)?\n | -11\n | ibivibiv/math_instruct | |
Does 20 divide 1820?\n | True\n | ibivibiv/math_instruct | |
b"What is the th term of 11257, 45023, 101297, 180079, 281369, 405167, 551473?\n" | 11254*b**2 + 4*b - 1\n | ibivibiv/math_instruct | |
Which is the third biggest value? (a) 0.03187 (b) -1/11600 (c) 4\n | b\n | ibivibiv/math_instruct | |
Solve 4*k = 26*k - 103 - 117 for k.\n | 10\n | ibivibiv/math_instruct | |
Let t = 1435 + -1432. Solve 5*v - 6 = -5*g + 29, -g = -t for v.\n | 4\n | ibivibiv/math_instruct | |
What is the least common multiple of 10537450 and 5060?\n | 21074900\n | ibivibiv/math_instruct | |
Collect the terms in 2 + 2*u - 2 + 4*u + 3*u**2.\n | 3*u**2 + 6*u\n | ibivibiv/math_instruct | |
Suppose -k - 3*q = 9, -k + 2*q + 0*q = -11. Suppose 2*m = -5*w + 58, -2*m = w - 5*m - 15. Suppose -k = -j + w. Is j composite?\n | True\n | ibivibiv/math_instruct | |
Let q(o) = -12*o + 116. What is q(10)?\n | -4\n | ibivibiv/math_instruct | |
Let b be 2 + -507 + 6 + 3. Which is smaller: -2482/5 or b?\n | -2482/5\n | ibivibiv/math_instruct | |
Calculate 2*42.\n | 84\n | ibivibiv/math_instruct | |
Let z(l) = 14*l**2 + 38*l - 7. Is z(-27) a composite number?\n | False\n | ibivibiv/math_instruct | |
Let j(m) = -m**3 + 14*m**2 + 16*m - 11. Let g be j(15). Suppose 2 + g = 3*t, 3*p + t = 11. Let y(u) = 9*u**3 - 5*u**2 + 3*u - 4. Is y(p) a composite number?\n | True\n | ibivibiv/math_instruct | |
List the prime factors of 5571.\n | 3, 619\n | ibivibiv/math_instruct | |
In base 12, what is -31 - -7a217?\n | 7a1a6\n | ibivibiv/math_instruct | |
Let j = -3527 + 3527. Let f(c) be the third derivative of 1/30*c**5 + j + 7*c**2 + 0*c + 0*c**3 - 1/8*c**6 + 0*c**4. Find the third derivative of f(w) wrt w.\n | -90\n | ibivibiv/math_instruct | |
What is the value of 16/(-200)*-15*50/105?\n | 4/7\n | ibivibiv/math_instruct | |
Let x(y) = y**3 + 28*y**2 + 37*y - 86. Give x(-26).\n | 304\n | ibivibiv/math_instruct | |
What is the smallest value in 2.99, 3, 2?\n | 2\n | ibivibiv/math_instruct | |
In base 15, what is -99 - 142?\n | -1db\n | ibivibiv/math_instruct | |
What is the third derivative of 4*j**4*u*z - 52444643*j**4 - j**2*u*z - 383950*j**2*u - 3*u*z wrt j?\n | 96*j*u*z - 1258671432*j\n | ibivibiv/math_instruct | |
Let w(y) = -y**2 + y - 1. Let d(l) = -l**2 + 4 - 4*l - 4. Let z be d(-3). Calculate w(z).\n | -7\n | ibivibiv/math_instruct | |
Is 4644344787 composite?\n | True\n | ibivibiv/math_instruct | |
Is 168389 a prime number?\n | False\n | ibivibiv/math_instruct | |
What is the sixth biggest value in -0.4, 2, 4, -7, 2.7, 651?\n | -7\n | ibivibiv/math_instruct | |
What is 661 minutes after 8:01 AM?\n | 7:02 PM\n | ibivibiv/math_instruct | |
Solve -5*c - 16*v = 679, 97*c - 100*c = v + 11 + 18 for c.\n | 5\n | ibivibiv/math_instruct | |
Suppose -5*c + 337 = -653. Suppose 3*g - c + 36 = 0. What are the prime factors of g?\n | 2, 3\n | ibivibiv/math_instruct | |
Let m be ((-11)/(-4))/((-2)/8). Let o = m + 18. Let c(x) = -21*x**3 - 22*x**2 + 6*x + 0 + 14*x**2 + 22*x**3 + 4. Give c(o).\n | -3\n | ibivibiv/math_instruct | |
What is the lowest common multiple of 16285430 and 569990050?\n | 569990050\n | ibivibiv/math_instruct | |
Let h be (-64)/(-1 - 1/(-3)). Let j = -18 + h. Suppose -j = -2*n + z - 12, -n + 2*z = -30. Is 8 a factor of n?\n | False\n | ibivibiv/math_instruct | |
Let k(q) = -2*q**2 + 8. Let w(m) = m**2 - 3. Let c(a) = -3*k(a) - 8*w(a). Let i(g) = -6*g. Give c(i(f)).\n | -72*f**2\n | ibivibiv/math_instruct | |
Let z(c) = c**3 - 13*c**2 + c + 10. What is the units digit of z(13)?\n | 3\n | ibivibiv/math_instruct | |
Sort 5, 3, -730940, -2.\n | -730940, -2, 3, 5\n | ibivibiv/math_instruct | |
((-4)/190)/((-75)/375)\n | 2/19\n | ibivibiv/math_instruct | |
Suppose -4*u + 2*u = 0. Suppose -4*r + 3*r - 5*l = -20, 3*l = u. Does 8 divide r?\n | False\n | ibivibiv/math_instruct | |
Convert 4b67 (base 15) to base 10.\n | 16072\n | ibivibiv/math_instruct | |
Solve 5*a - 13 = 2*r, 0 = -4*a - 24*r + 22*r + 32 for a.\n | 5\n | ibivibiv/math_instruct | |
Find the first derivative of 3*x**2 - 4*x - 513 wrt x.\n | 6*x - 4\n | ibivibiv/math_instruct | |
Does 492 divide 14563559?\n | False\n | ibivibiv/math_instruct | |
Two letters picked without replacement from hbhb. Give prob of picking 1 h and 1 b.\n | 2/3\n | ibivibiv/math_instruct | |
What is prob of picking 2 v when two letters picked without replacement from vvvvvvevvvvvvvv?\n | 13/15\n | ibivibiv/math_instruct | |
Is 27594842817 prime?\n | False\n | ibivibiv/math_instruct | |
What are the prime factors of 107189610?\n | 2, 3, 5, 11, 47, 6911\n | ibivibiv/math_instruct | |
Round -0.0000018129 to six dps.\n | -0.000002\n | ibivibiv/math_instruct | |
Suppose -3*x - 96 = -9*x. Let f = -382 - -377. Put f, 1, x in ascending order.\n | f, 1, x\n | ibivibiv/math_instruct | |
Put 0.4, -2/7, -0.34, -676 in ascending order.\n | -676, -0.34, -2/7, 0.4\n | ibivibiv/math_instruct | |
Write an educational piece suited for college students related to the following text snippet:
"# What is the meaning of triangles color in the result of Tipping Problem in scikit-fuzzy (fuzzy logic)?
I am following this example https://scikit-fuzzy.github.io/scikit-fuzzy/auto_examples/plot_tipping_problem_newapi.html ... | Fuzzy Logic and Triangle Colors in Scikit-Fuzzy Library
--------------------------------------------------------
### Background
Fuzzy logic is a mathematical approach used to model uncertainty and vagueness in decision making processes. Unlike traditional Boolean logic where variables are either true or false, fuzzy... | ibivibiv/math_instruct | |
Calculate (41 - 4554/110) + 2 + 94/(-40).\n | -3/4\n | ibivibiv/math_instruct | |
What are the prime factors of 194049?\n | 3, 7187\n | ibivibiv/math_instruct | |
What is the smallest value in -4, -2/181, 311?\n | -4\n | ibivibiv/math_instruct | |
In base 8, what is 24543 + -7?\n | 24534\n | ibivibiv/math_instruct | |
Let b(i) = -3*i. Let n(u) be the second derivative of -19*u**4/12 - 5*u**3/6 - 6*u - 27. Give b(n(p)).\n | 57*p**2 + 15*p\n | ibivibiv/math_instruct | |
Simplify (j**(-2/21))**(4/9) assuming j is positive.\n | j**(-8/189)\n | ibivibiv/math_instruct | |
How many minutes are there between 6:41 AM and 1:37 PM?\n | 416\n | ibivibiv/math_instruct | |
Sort -1.1, 2, 0.4, 3, -2, -853, -8 in ascending order.\n | -853, -8, -2, -1.1, 0.4, 2, 3\n | ibivibiv/math_instruct | |
Let j be (10/(-20))/((-3)/2). Let p(q) be the first derivative of 0*q - 3/8*q**4 + j*q**3 + 2 + 0*q**2 + 1/10*q**5. Factor p(y).\n | y**2*(y - 2)*(y - 1)/2\n | ibivibiv/math_instruct | |
Simplify ((-3*sqrt(128) - sqrt(8))/(sqrt(28)/sqrt(28)) + 0 + 1)**2.\n | -52*sqrt(2) + 1353\n | ibivibiv/math_instruct | |
What is the next term in 11, 63, 151, 275, 435, 631, 863?\n | 1131\n | ibivibiv/math_instruct |
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