instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
In base 6, what is 5 + -13305030?\n | -13305021\n | ibivibiv/math_instruct | |
How many minutes are there between 5:46 AM and 5:02 PM?\n | 676\n | ibivibiv/math_instruct | |
What is 14 minutes after 2:55 PM?\n | 3:09 PM\n | ibivibiv/math_instruct | |
b"What is the kth term of 84, 72, 46, 0, -72?\n" | -k**3 - k**2 - 2*k + 88\n | ibivibiv/math_instruct | |
Let f(t) = 2*t**2 + 7*t - 14. Let o be ((-2)/3)/(-3*10/225). Calculate the remainder when f(o) is divided by 8.\n | 7\n | ibivibiv/math_instruct | |
Collect the terms in -2*i**3 + 5*i**3 + 27*i**3.\n | 30*i**3\n | ibivibiv/math_instruct | |
Round -1881.143 to 0 dps.\n | -1881\n | ibivibiv/math_instruct | |
What is 2 divided by -30380089?\n | -2/30380089\n | ibivibiv/math_instruct | |
What is the thousands digit of 101648?\n | 1\n | ibivibiv/math_instruct | |
Simplify ((i*i/(i**(-8)*i))**(-14)/(i**8/i*i*i*i**25))**(6/13) assuming i is positive.\n | i**(-960/13)\n | ibivibiv/math_instruct | |
How many nanograms are there in 27/4 of a microgram?\n | 6750\n | ibivibiv/math_instruct | |
Solve 2*p - 13 = -3*h, -2*p + 4*h - h = 5 for p.\n | 2\n | ibivibiv/math_instruct | |
Let j(i) be the first derivative of i**3/3 - i**2/2 + 3*i + 4. Let v(k) be the first derivative of j(k). Differentiate v(n) wrt n.\n | 2\n | ibivibiv/math_instruct | |
Is 9 a factor of 7749?\n | True\n | ibivibiv/math_instruct | |
Let h be (11 - (7 - -2))/((-2)/(-121)). Let c(x) = -13*x + 2. Let o(m) = 781*m - 121. Calculate h*c(n) + 2*o(n).\n | -11*n\n | ibivibiv/math_instruct | |
Is 1203 a factor of 358862118?\n | True\n | ibivibiv/math_instruct | |
Is 13357293 composite?\n | True\n | ibivibiv/math_instruct | |
What is the tens digit of 32653?\n | 5\n | ibivibiv/math_instruct | |
Calculate prob of picking 2 w when two letters picked without replacement from {o: 5, w: 4, h: 7}.\n | 1/20\n | ibivibiv/math_instruct | |
What is the result of the following expression?
(3.215 % -48.527) * (65.774 * -3.129) | 9325.5198 | ibivibiv/math_instruct | |
Solve -7*m = 2*t - 438 + 172, -207*t = -m - 106*t - 99*t + 38 for m.\n | 38\n | ibivibiv/math_instruct | |
Suppose 154 = -48*c + 70*c. Let m be 2/11 - (-20)/11. Factor 11*g - 4*g - c*g - g**m.\n | -g**2\n | ibivibiv/math_instruct | |
Is 210473 a prime number?\n | False\n | ibivibiv/math_instruct | |
Let v be (-2)/(-2) - ((7 - 4) + -4). Find the third derivative of -53*i**2 - 4*i**6 + v*i**4 + 49*i**5 - 6*i**2 - 49*i**5 wrt i.\n | -480*i**3 + 48*i\n | ibivibiv/math_instruct | |
Which is greater: 29997 or 29999?\n | 29999\n | ibivibiv/math_instruct | |
Which is the biggest value? (a) 0.15 (b) 5 (c) 3\n | b\n | ibivibiv/math_instruct | |
Write an educational piece suited for college students related to the following text snippet:
"# Bijective/Injective function mapping
I have a quick question about bijective functions.
Let's say I want a function that maps $$f:(0,1] \rightarrow [0,\infty)$$
I can say $$f(x) = 1- \frac1x$$ right?
And if I want an in... | A function is a relation between two sets such that every element in the domain corresponds to exactly one element in the codomain. Functions are also called mappings since they map elements from the domain to the codomain. There are several types of functions based on their properties, including surjective, injective... | ibivibiv/math_instruct | |
Suppose 2*x - 21 = 3*y, 4*y + 2*x + 21 = y. Let g(m) = -m**2 - 6*m + 7. Let w be g(y). Solve f - 3*k - 6 = w, -6*f + 3*f = -k + 6 for f.\n | -3\n | ibivibiv/math_instruct | |
What is the value of -19 - 4 - (-64 + (-98 - -42))?\n | 97\n | ibivibiv/math_instruct | |
Calculate 18120 divided by -10.\n | -1812\n | ibivibiv/math_instruct | |
Let m(u) = 2*u**2 - 6. Let x(g) = -g. What is x(m(a))?\n | -2*a**2 + 6\n | ibivibiv/math_instruct | |
Divide 19634 by 254.\n | 9817/127\n | ibivibiv/math_instruct | |
What is next in -24, -127, -400, -927, -1792, -3079?\n | -4872\n | ibivibiv/math_instruct | |
What is the hundreds digit of 77897324?\n | 3\n | ibivibiv/math_instruct | |
Express (-2*j**2 + 5*j**2 - j**2)*(0 + 5*j + 0)*(-j + 4 - 4) in the form a*j**4 + d + w*j**2 + s*j + n*j**3 and give w.\n | 0\n | ibivibiv/math_instruct | |
Is 279425033 a prime number?\n | True\n | ibivibiv/math_instruct | |
Let w(l) = -l**3 + 91*l**2 - 22*l - 354. Is w(85) composite?\n | True\n | ibivibiv/math_instruct | |
What is 443.101ms in microseconds?\n | 443101\n | ibivibiv/math_instruct | |
What is (12/(-12))/((-33)/6)?\n | 2/11\n | ibivibiv/math_instruct | |
Simplify ((m/(m/(m/(m*m**(1/4)))))**(-19)/((m*m**(2/3))/m)**(4/3))/((m**(-2/5))**(-30)/((m**(2/11)*m*m)/(m/(m**(3/5)*m)))) assuming m is positive.\n | m**(-10607/1980)\n | ibivibiv/math_instruct | |
Put -4, -2383, 10 in decreasing order.\n | 10, -4, -2383\n | ibivibiv/math_instruct | |
Is 241 even?\n | False\n | ibivibiv/math_instruct | |
Let q be (-35)/28 + 1 - (19/4 + -5). Solve 2*z - 13 = 2*a - 3, 3*a - 5*z + 17 = q for a.\n | -4\n | ibivibiv/math_instruct | |
Let i = 52 + -45. Suppose -7*t - 5*v = -3*t + i, 1 = 2*t + v. Suppose -x = 2*x + 2*q - 34, -t*q = -5*x + 30. What is the remainder when 30 is divided by x?\n | 6\n | ibivibiv/math_instruct | |
Is 389669 a composite number?\n | True\n | ibivibiv/math_instruct | |
What is the closest to 0.1 in 3, -14, -3/7, 59/3?\n | -3/7\n | ibivibiv/math_instruct | |
Let m(w) = w - 15. Let a(o) = 4*o**2 + 5*o + 2. Let z(v) = -5*v**2 - 6*v - 2. Let j(x) = -6*a(x) - 5*z(x). Let f be j(3). What is m(f)?\n | -8\n | ibivibiv/math_instruct | |
Suppose -483*s + 112200 = -408*s. Calculate the lowest common multiple of 1012 and s.\n | 34408\n | ibivibiv/math_instruct | |
Put -0.2, 1/34, 0.12, 0.1 in descending order.\n | 0.12, 0.1, 1/34, -0.2\n | ibivibiv/math_instruct | |
Let w = 254.1 + -254.1. What is the second smallest value in 8, w, -1, -4?\n | -1\n | ibivibiv/math_instruct | |
Let z(p) be the third derivative of -5*p**6/24 - p**5/30 + p**3/6 - 11*p**2. List the prime factors of z(-1).\n | 2, 3\n | ibivibiv/math_instruct | |
Suppose -2*c + c = -62. Let r = c + 18. Is (0 + -3 + r)/1 composite?\n | True\n | ibivibiv/math_instruct | |
What is the second derivative of 2952*b**3*w**3 - 11*b**3*w + 2*b*w + 36 wrt w?\n | 17712*b**3*w\n | ibivibiv/math_instruct | |
Expand 6*m - m + 9*m + (m - m + 2*m)*(3 + 0 - 1) + (2 + 0 + 0)*(5 + 3 + 0)*(-5*m + 3*m - m).\n | -30*m\n | ibivibiv/math_instruct | |
Suppose 0 = 5*i - 10. Let v(o) = -2*o + o**i + 7*o + 0*o**2. Suppose -2*x - 8 = -0*x. Determine v(x).\n | -4\n | ibivibiv/math_instruct | |
Solve 10601*p + 11296*p + 858085 + 126323 = -504588 for p.\n | -68\n | ibivibiv/math_instruct | |
What is prob of picking 4 p when four letters picked without replacement from {p: 4, z: 2}?\n | 1/15\n | ibivibiv/math_instruct | |
Let g = -108517/3 + 36173. What is the smallest value in 2/9, 0.043, g, 2?\n | 0.043\n | ibivibiv/math_instruct | |
What is prob of sequence ed when two letters picked without replacement from {h: 1, d: 1, c: 1, e: 1, x: 2, q: 2}?\n | 1/56\n | ibivibiv/math_instruct | |
How many minutes are there between 11:40 AM and 7:18 PM?\n | 458\n | ibivibiv/math_instruct | |
Is 8 a factor of 3256?\n | True\n | ibivibiv/math_instruct | |
Two letters picked without replacement from egtbgeu. Give prob of picking 1 u and 1 b.\n | 1/21\n | ibivibiv/math_instruct | |
Work out 608819 + 1602364.\n | 2211183\n | ibivibiv/math_instruct | |
What is thirteen quarters of a microgram in nanograms?\n | 3250\n | ibivibiv/math_instruct | |
What is the third root of 120269 to the nearest integer?\n | 49\n | ibivibiv/math_instruct | |
Let q(u) = -14*u - 422. Give q(-44).\n | 194\n | ibivibiv/math_instruct | |
Suppose k - 4*t - 23 = 0, -5*k - 2*t + 10 = -t. Suppose k*i + i = 128. Suppose -o - i = -3*o. What is the highest common factor of 4 and o?\n | 4\n | ibivibiv/math_instruct | |
Is 174914833 a composite number?\n | True\n | ibivibiv/math_instruct | |
Are 128 and 698 unequal?\n | True\n | ibivibiv/math_instruct | |
Calculate the highest common factor of 16789 and 309.\n | 103\n | ibivibiv/math_instruct | |
What is 6097000 rounded to the nearest one million?\n | 6000000\n | ibivibiv/math_instruct | |
Let g = -125 + 81. Let z = g - -34. Let y = -4 - -3. Is y greater than or equal to z?\n | True\n | ibivibiv/math_instruct | |
Simplify 1 + (-5 + sqrt(448)*2 - sqrt(448)).\n | -4 + 8*sqrt(7)\n | ibivibiv/math_instruct | |
Suppose -444 = 8*r - 11*r. Suppose 9*x = 5*x + r. List the prime factors of x.\n | 37\n | ibivibiv/math_instruct | |
Let t = 42.9 + -43. Sort 4/3, 0.4, t in descending order.\n | 4/3, 0.4, t\n | ibivibiv/math_instruct | |
What is the hundred thousands digit of 116100?\n | 1\n | ibivibiv/math_instruct | |
Let a be -1 + 3 - 30/9. Let t = 0.03 - 0.03. What is the nearest to t in 0.5, a, -0.2?\n | -0.2\n | ibivibiv/math_instruct | |
Calculate ((-8)/588*3)/((-9)/(-630)*40).\n | -1/14\n | ibivibiv/math_instruct | |
Suppose 0 = 2*x + 2*y, x + 4*y = 5*x + 32. Put x, -11, -3, 0, -42 in ascending order.\n | -42, -11, x, -3, 0\n | ibivibiv/math_instruct | |
Which is the nearest to 1? (a) -11/5 (b) 5 (c) 0\n | c\n | ibivibiv/math_instruct | |
Suppose -6*z**3/5 + 1026882*z**2/5 + 4107624*z/5 = 0. What is z?\n | -4, 0, 171151\n | ibivibiv/math_instruct | |
Let h = -34.7 + 34.6. What is the nearest to 0.1 in -3, 0.06, h?\n | 0.06\n | ibivibiv/math_instruct | |
How many minutes are there between 12:34 AM and 9:37 AM?\n | 543\n | ibivibiv/math_instruct | |
Rearrange -2*i - 2*i**2 + i**2 + 13*i**2 - 10*i**2 - 302 to the form m + u*i**2 + o*i and give u.\n | 2\n | ibivibiv/math_instruct | |
Let u(w) = 202*w + 504. Let r(q) = -5*q. Give r(u(l)).\n | -1010*l - 2520\n | ibivibiv/math_instruct | |
What is thirteen quarters of a tonne in kilograms?\n | 3250\n | ibivibiv/math_instruct | |
Let t = 155545/22 + -7073. Let a = 30267/10430 - 2/1043. Calculate the common denominator of a and t.\n | 110\n | ibivibiv/math_instruct | |
Let v = 18 - 27. Let p be (v + 6)/((-6)/4). Sort -2, -3, p.\n | -3, -2, p\n | ibivibiv/math_instruct | |
Let -2*m**3/3 - 3076*m**2 - 18442*m/3 + 9224 = 0. What is m?\n | -4612, -3, 1\n | ibivibiv/math_instruct | |
Let g be 161/28 - (-3)/(-4). Suppose -g*m - 3*i = -14, 2*m + 5*i - 3 = -5. What is the second derivative of 0*w**m + w**4 - 15*w + 19*w wrt w?\n | 12*w**2\n | ibivibiv/math_instruct | |
Calculate the remainder when 25688713 is divided by 111690.\n | 13\n | ibivibiv/math_instruct | |
Is 23760379 a prime number?\n | True\n | ibivibiv/math_instruct | |
Multiply 0.1 and -71246753.\n | -7124675.3\n | ibivibiv/math_instruct | |
What is the second derivative of 419060599*r**2 + 18337450*r wrt r?\n | 838121198\n | ibivibiv/math_instruct | |
Expand (-3*a + 2*a + 2*a)*(-a**3 - 2*a**3 + a**3) - 3*a + 3*a**4 - 5*a**4 + 4*a.\n | -4*a**4 + a\n | ibivibiv/math_instruct | |
Let s(g) = -3*g + 17. Determine s(9).\n | -10\n | ibivibiv/math_instruct | |
What is the sixth smallest value in 1/4, 3/25, 3, 1/3, -0.3, 0.18, 0.4?\n | 0.4\n | ibivibiv/math_instruct | |
Suppose 4*q - 15 = 5. Suppose -q*j = -16 + 1. Suppose -1 + 0*x**3 + 3*x**2 - 4*x**3 + 2*x**j = 0. What is x?\n | -1/2, 1\n | ibivibiv/math_instruct | |
Which is the closest to 1? (a) 24/35 (b) -12 (c) 3/7\n | a\n | ibivibiv/math_instruct | |
What comes next: 80, 162, 244, 326, 408, 490?\n | 572\n | ibivibiv/math_instruct |
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