instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
What is 244 minutes before 7:10 AM?\n | 3:06 AM\n | ibivibiv/math_instruct | |
Let g(u) = 5*u + 7*u + 36 - 2*u**2 - 42. Let r be g(5). Calculate the smallest common multiple of (-9)/(0 + (-6)/r) and 6.\n | 6\n | ibivibiv/math_instruct | |
Suppose 4*j - 96 = r, 2*j - 5*r - 54 = -6*r. Suppose -3*d + 94 = -4*c + 19, 4*c = -2*d - 90. Let m = j + c. Solve -7*h + 3*h - 14 = -3*t, 0 = -m*h - 20 for t.\n | -2\n | ibivibiv/math_instruct | |
What is -161 - 79317843.74?\n | -79318004.74\n | ibivibiv/math_instruct | |
What is 457 minutes after 6:47 PM?\n | 2:24 AM\n | ibivibiv/math_instruct | |
Rearrange 4*c**3 - 322 + 105*c**4 + 306 - 66*c**4 to the form g*c + a*c**4 + i*c**3 + q + w*c**2 and give a.\n | 39\n | ibivibiv/math_instruct | |
Let l = -7 - -6. Calculate the common denominator of ((-15)/16)/(-1)*20 and -6*45/(-66) - l.\n | 44\n | ibivibiv/math_instruct | |
What is the closest to 5 in -3/2, 62338, -2/11, -56?\n | -2/11\n | ibivibiv/math_instruct | |
Let l(b) be the second derivative of -49*b**5/10 + b. Let w be l(-1). Let q = -39 + 53. What is the highest common factor of q and w?\n | 14\n | ibivibiv/math_instruct | |
What is -3033131 (base 4) in base 3?\n | -200012202\n | ibivibiv/math_instruct | |
Let x(i) = 13*i**2 - 3*i - 36. Let u be x(6). Let z = -209 + u. Calculate the remainder when z is divided by 71.\n | 63\n | ibivibiv/math_instruct | |
Suppose 2*s = 54 + 88. Let m = 130 - s. Let r = m + -50. List the prime factors of r.\n | 3\n | ibivibiv/math_instruct | |
Let j(f) = -f**2 + 6*f + 15. Let c be j(19). Let x = -1351/6 - c. What is the common denominator of x and -139/6?\n | 6\n | ibivibiv/math_instruct | |
Evaluate 9 + 3 + -11 + (-1 - -1) - 5.\n | -4\n | ibivibiv/math_instruct | |
What comes next: -1886, -1867, -1836, -1793?\n | -1738\n | ibivibiv/math_instruct | |
What is the lowest common multiple of 1014 and 11?\n | 11154\n | ibivibiv/math_instruct | |
What is the value of (23 - (-27 - -60)) + (9 - -19)?\n | 18\n | ibivibiv/math_instruct | |
Let g(k) = 4*k**2 + 2*k - 1. Calculate the least common multiple of g(1) and -6*(2/(-4))/(2/4).\n | 30\n | ibivibiv/math_instruct | |
Solve 102646 = -4869*c - 140804 for c.\n | -50\n | ibivibiv/math_instruct | |
Let l(g) = g**3 + 11*g**2 - 30*g - 7. Is l(-13) a multiple of 10?\n | False\n | ibivibiv/math_instruct | |
What is 489 times 1.513?\n | 739.857\n | ibivibiv/math_instruct | |
Expand (-2*n + n - n)*(0 - 6 + 3*n + 1).\n | -6*n**2 + 10*n\n | ibivibiv/math_instruct | |
Let c = -18582 + 483029/26. Calculate the common denominator of 23/16 and c.\n | 208\n | ibivibiv/math_instruct | |
Let m = -0.922 - -0.622. What is the biggest value in -2/29, m, -0.4?\n | -2/29\n | ibivibiv/math_instruct | |
Add together -64.364917 and -9365.\n | -9429.364917\n | ibivibiv/math_instruct | |
(-192)/2480*(2/(-12))/((-30)/2250*-5)\n | 6/31\n | ibivibiv/math_instruct | |
In base 4, what is -321 - 3222201?\n | -3223122\n | ibivibiv/math_instruct | |
Let t be (-8)/170*10/4. Let y = 3.95 + 0.05. Which is the second smallest value? (a) 0 (b) t (c) y\n | a\n | ibivibiv/math_instruct | |
Suppose 0 = n + 3*n - 16. Let i(w) = 2*w - 30. Let r be i(16). Let q be (20/(-32))/(r/4). Which is the third biggest value? (a) n (b) q (c) -1\n | b\n | ibivibiv/math_instruct | |
Solve 0 = -169*m + 825 - 3698 for m.\n | -17\n | ibivibiv/math_instruct | |
Suppose 33*g = 177512 + 256141. List the prime factors of g.\n | 17, 773\n | ibivibiv/math_instruct | |
What comes next: -486, -911, -1342, -1779, -2222, -2671?\n | -3126\n | ibivibiv/math_instruct | |
x can do a piece of work in 40 days. He works at it for 8 days and then y finished it in some days. y takes 45 days to complete the work. How many days did it take y to finish the work after x worked on it for 8 days? | Let's calculate the amount of work x does in one day. Since x can complete the work in 40 days, x does 1/40 of the work in one day.
In 8 days, x would have completed 8 * (1/40) = 8/40 = 1/5 of the work.
This means that 4/5 of the work is still left to be done after x has worked for 8 days.
Now, lets calculate the am... | ibivibiv/math_instruct | |
What is the thousands digit of 57764?\n | 7\n | ibivibiv/math_instruct | |
Write an educational piece suited for college students related to the following text snippet:
"# Non-Zero Natural Numbers under Multiplication form Commutative Semigroup
## Theorem
Let $\N_{>0}$ be the set of natural numbers without zero, that is, $\N_{>0} = \N \setminus \set 0$.
The structure $\left({\N_{>0}, \time... | The study of algebraic structures provides a framework for analyzing sets equipped with binary operations that satisfy certain properties. One important example of an algebraic structure is a semigroup, which consists of a nonempty set together with an associative binary operation. We can also consider additional prop... | ibivibiv/math_instruct | |
What is the value of ((-630)/567)/(8/36)?\n | -5\n | ibivibiv/math_instruct | |
Let a(l) = 7 - 1 - 1 + l**2 + 6*l. Let g be a(-6). Suppose 0*v + 32 = 4*v - 4*s, 5*v + g*s = 40. Does 3 divide v?\n | False\n | ibivibiv/math_instruct | |
In base 16, what is -1be + -2?\n | -1c0\n | ibivibiv/math_instruct | |
Let v(l) = -l**3 - 5*l**2 - 4*l + 1. What is v(-5)?\n | 21\n | ibivibiv/math_instruct | |
What is the hundred thousands digit of 1106073?\n | 1\n | ibivibiv/math_instruct | |
What is the result of the following expression?
3.464 % -0.419 | -0.307 | ibivibiv/math_instruct | |
What is 9 + (4 - 19) + -4 + 7?\n | -3\n | ibivibiv/math_instruct | |
Let o = 3 - 2. Let k(a) = 2*a**2 - 6. Suppose 4*j - 18 = -3*l, -5*j - 6*l + 7*l = -32. Let s(c) = 1. Give j*s(m) + o*k(m).\n | 2*m**2\n | ibivibiv/math_instruct | |
Let v = 0.1 + 0. Which is smaller: 18 or v?\n | v\n | ibivibiv/math_instruct | |
Let g(s) = 2*s - 5. Suppose 0 = -3*n + 29 - 11. Suppose 0 = 7*z - 10*z - n. Let d(k) = k - 2. What is z*g(i) + 5*d(i)?\n | i\n | ibivibiv/math_instruct | |
In base 8, what is 223515 - 2173?\n | 221322\n | ibivibiv/math_instruct | |
Sort -1455, -0.5, -149/4, 0, -5 in descending order.\n | 0, -0.5, -5, -149/4, -1455\n | ibivibiv/math_instruct | |
Let j = 0.3 - 0.2. Let o = 0.4 - 0.4. Let h = j + o. Which is smaller: -1/3 or h?\n | -1/3\n | ibivibiv/math_instruct | |
Which is smaller: -33/1531 or 1?\n | -33/1531\n | ibivibiv/math_instruct | |
Express (-2*d + 2*d + 2*d)*(1471 - 57*d - 1471 + (4 - 2 - 1)*(5*d - 3*d - d) - 21*d + 33*d - 11*d) as w*d**2 + u*d + r and give w.\n | -110\n | ibivibiv/math_instruct | |
What is the sixth smallest value in 5, -1.28, 0.3, 0, 2, -1/3?\n | 5\n | ibivibiv/math_instruct | |
How many millilitres are there in 25/2 of a litre?\n | 12500\n | ibivibiv/math_instruct | |
b"What is the sth term of 293942, 293952, 293974, 294014, 294078, 294172?\n" | s**3 + 3*s + 293938\n | ibivibiv/math_instruct | |
Let n = 691 + 14322. What is the units digit of n?\n | 3\n | ibivibiv/math_instruct | |
What are the prime factors of 1316880411?\n | 3, 7, 11, 5700781\n | ibivibiv/math_instruct | |
Convert 287.3707 minutes to nanoseconds.\n | 17242242000000\n | ibivibiv/math_instruct | |
Find the common denominator of 11/762518 and 121/897080.\n | 15250360\n | ibivibiv/math_instruct | |
Let q(g) = 2*g - 3. What is q(8)?\n | 13\n | ibivibiv/math_instruct | |
Let h(d) = -127 + 31*d**2 + 127. Let n(w) = 2*w. Calculate h(n(x)).\n | 124*x**2\n | ibivibiv/math_instruct | |
Is 20765 composite?\n | True\n | ibivibiv/math_instruct | |
Which is the closest to 0.3? (a) -2/19 (b) 3/295 (c) 0.5 (d) 162/17\n | c\n | ibivibiv/math_instruct | |
Solve 4*l - 124 = -4*u, 49379*u = 49383*u - 104 for l.\n | 5\n | ibivibiv/math_instruct | |
Let u be 3 + (8 + -48)/(1/2). Let t be (18/(-21))/(22/u). Solve 0 = -0*m - t*m + 12 for m.\n | 4\n | ibivibiv/math_instruct | |
What is -dc81 (base 15) in base 11?\n | -320a1\n | ibivibiv/math_instruct | |
Multiply 2 and -0.46.\n | -0.92\n | ibivibiv/math_instruct | |
What is prob of picking 2 s and 1 q when three letters picked without replacement from psqppassappasp?\n | 3/182\n | ibivibiv/math_instruct | |
Let p = 29636/33 - 898. Let o be (246/1056)/(3 + 45/(-12)). Let u = p + o. What is the common denominator of u and 65/12?\n | 12\n | ibivibiv/math_instruct | |
Let f(a) = -a**3 - 4*a**2 - 3. Let r(i) = i**3 + 6*i**2 - 6*i + 3. Let q be r(-7). Calculate f(q).\n | -3\n | ibivibiv/math_instruct | |
Suppose 205*d + 204*d - 3780 = -221*d. Factor -d*b + 16/3 + 2/3*b**2.\n | 2*(b - 8)*(b - 1)/3\n | ibivibiv/math_instruct | |
Which is the second biggest value? (a) 3 (b) -17/6 (c) -4038 (d) -16\n | b\n | ibivibiv/math_instruct | |
b"What is the nth term of 15, 19, 37, 75, 139, 235?\n" | n**3 + n**2 - 6*n + 19\n | ibivibiv/math_instruct | |
Divide -80 by -8.\n | 10\n | ibivibiv/math_instruct | |
Which is the second biggest value? (a) 2/175 (b) -1/4 (c) -12\n | b\n | ibivibiv/math_instruct | |
Let r be (-13)/(39/(-1272))*2/4. Let j = 235 - r. Is 23 a factor of j?\n | True\n | ibivibiv/math_instruct | |
1/(((-446)/(-892))/(10/(-4)))\n | -5\n | ibivibiv/math_instruct | |
Let s(c) = -6*c**3 + 17*c + 17. Let t(w) = w**3 - 3*w - 3. Let a(k) = 4*k - 2. Let j be a(2). What is j*s(y) + 34*t(y)?\n | -2*y**3\n | ibivibiv/math_instruct | |
What is the product of 8.81 and -4118?\n | -36279.58\n | ibivibiv/math_instruct | |
Suppose -4*g + 5*v - 33 = 6*v, 5*g + v = -41. Is (-304065)/(-165) - g/44 a composite number?\n | True\n | ibivibiv/math_instruct | |
-22.708*0.48\n | -10.89984\n | ibivibiv/math_instruct | |
Let g = 3 + 0. Suppose 5*p - 3 = g*p + 3*c, -3*c = -p + 6. Let s be p + (2 - (0 + 1)). Let o(a) = 2*a**2 + 3*a + 2. Determine o(s).\n | 4\n | ibivibiv/math_instruct | |
Let o = 376 + -100. What is the highest common factor of o and 144?\n | 12\n | ibivibiv/math_instruct | |
73 divided by 23\n | 73/23\n | ibivibiv/math_instruct | |
Express -3*r + 5*r**4 - r**3 + 6*r - 4*r**4 - 4*r**4 as y*r**3 + a + v*r**4 + s*r + x*r**2 and give y.\n | -1\n | ibivibiv/math_instruct | |
Let f(c) be the second derivative of -c**7/2520 + c**6/45 - 8*c**5/15 + 13*c**4/12 + 47*c. Let r(x) be the third derivative of f(x). Let r(m) = 0. What is m?\n | 8\n | ibivibiv/math_instruct | |
Let k = -0.5 - -0.6. Let x = 0.2 + k. Which is the nearest to -0.1? (a) 5 (b) x (c) 0.5\n | b\n | ibivibiv/math_instruct | |
What is the hundred thousands digit of 3551234?\n | 5\n | ibivibiv/math_instruct | |
What is next in 8349, 6719, 5097, 3483?\n | 1877\n | ibivibiv/math_instruct | |
What is the square root of 5102007 to the nearest integer?\n | 2259\n | ibivibiv/math_instruct | |
Express (-54 - 24 + 12)*(6 - 4 + 0 + (-5 - 1 + 4)*(0 - 1 - 1) - 4 + 0 + 2 + 176 - 66 - 26)*(0*m - m + 4*m) in the form o*m + d and give o.\n | -17424\n | ibivibiv/math_instruct | |
210211 (base 3) to base 10\n | 589\n | ibivibiv/math_instruct | |
What is -0.5 + 3228?\n | 3227.5\n | ibivibiv/math_instruct | |
b"What is the gth term of 10607, 11212, 11815, 12416?\n" | -g**2 + 608*g + 10000\n | ibivibiv/math_instruct | |
Let z = -31 + 24. Which is the biggest value? (a) -3 (b) z (c) 21\n | c\n | ibivibiv/math_instruct | |
What are the prime factors of 50283845?\n | 5, 10056769\n | ibivibiv/math_instruct | |
What is the smallest common multiple of 18504 and 765?\n | 1572840\n | ibivibiv/math_instruct | |
Calculate the highest common divisor of 588 and 19988556.\n | 84\n | ibivibiv/math_instruct | |
Let k = -122 - -608/5. Let b(x) = -x**2 - 22*x + 48. Let h be b(-24). Suppose h*z + 3*z = 2*z. Sort 7, z, k in increasing order.\n | k, z, 7\n | ibivibiv/math_instruct | |
Calculate the common denominator of -27/49196 and -47/21.\n | 147588\n | ibivibiv/math_instruct | |
Let o be (1 - (1 - 0)) + 0. Suppose -10*d = -o*d - 4140. What are the prime factors of d?\n | 2, 3, 23\n | ibivibiv/math_instruct | |
Let o(n) = 3349638*n - 3349635*n + 2 + 0 + 4*n**2. Let w be ((-3)/(-1))/((-3)/2). Let a(z) = z**3 - 5*z**2 - 4*z - 3. Give w*a(v) - 3*o(v).\n | -2*v**3 - 2*v**2 - v\n | ibivibiv/math_instruct |
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