instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Sort 21, 3, 0.03, 2 in decreasing order.\n | 21, 3, 2, 0.03\n | ibivibiv/math_instruct | |
What is -21012180 divided by 3001740?\n | -7\n | ibivibiv/math_instruct | |
Rearrange 4*z**4 - z + z + 4*z**4 - z**4 - 2*z**4 + (-4 - 3 + 5)*(6*z**4 - 4*z**4 - 3*z**4) to the form g + n*z**4 + b*z**3 + u*z**2 + o*z and give n.\n | 7\n | ibivibiv/math_instruct | |
Let n(y) = y**2 + 150*y - 4380. Determine n(-175).\n | -5\n | ibivibiv/math_instruct | |
What is the units digit of 45351353?\n | 3\n | ibivibiv/math_instruct | |
What is 4.608664011 rounded to four decimal places?\n | 4.6087\n | ibivibiv/math_instruct | |
114 (base 11) to base 4\n | 2020\n | ibivibiv/math_instruct | |
Is 974 < -415239?\n | False\n | ibivibiv/math_instruct | |
What is the result of the following expression?
-24.0444 / (-67.5513 % -66.7343) | 29.4301 | ibivibiv/math_instruct | |
Find the second derivative of 2*b*m**3*u - 10308*b*m**3 + 6*b*m*u - 3*b*m - 1800*b*u - b + 2*m**2*u + u wrt m.\n | 12*b*m*u - 61848*b*m + 4*u\n | ibivibiv/math_instruct | |
What is 2357.833 years in centuries?\n | 23.57833\n | ibivibiv/math_instruct | |
Three letters picked without replacement from prssrsrwjpqpwssrrwsq. Give prob of sequence sqq.\n | 1/570\n | ibivibiv/math_instruct | |
Suppose -12*g = -5*m - 7*g + 1850, 4*m = 3*g + 1478. List the prime factors of m.\n | 2, 23\n | ibivibiv/math_instruct | |
Is 27822671 a prime number?\n | False\n | ibivibiv/math_instruct | |
Let v = 300 - 304.38. Let r = v + 0.38. Let j = -2 - -1. Sort r, 2, j, 7 in ascending order.\n | r, j, 2, 7\n | ibivibiv/math_instruct | |
Is 20536080127 composite?\n | True\n | ibivibiv/math_instruct | |
What comes next: -39, -45, -51, -57?\n | -63\n | ibivibiv/math_instruct | |
What is 3205 to the power of 1/7, to the nearest integer?\n | 3\n | ibivibiv/math_instruct | |
What is 388 minutes before 3:08 PM?\n | 8:40 AM\n | ibivibiv/math_instruct | |
Let l(g) = -g + 1. Let b(k) = 1. Let h(u) = b(u) + l(u). Let d(y) = -y + 1. Let w(t) = 4*d(t) - 3*h(t). Determine w(-1).\n | -1\n | ibivibiv/math_instruct | |
What is the value of (-7 - -2 - -1) + (0 - -2)?\n | -2\n | ibivibiv/math_instruct | |
How many millimeters are there in 9.350384 meters?\n | 9350.384\n | ibivibiv/math_instruct | |
Round -0.00955184 to 2 decimal places.\n | -0.01\n | ibivibiv/math_instruct | |
Which is the nearest to -96/11? (a) 0.5 (b) 3 (c) 2 (d) 0.1\n | d\n | ibivibiv/math_instruct | |
Suppose 1214 = 7*m + 87. What is the units digit of m?\n | 1\n | ibivibiv/math_instruct | |
Convert 8920 (base 10) to base 4.\n | 2023120\n | ibivibiv/math_instruct | |
Evaluate (-62)/34 - 906/5134.\n | -2\n | ibivibiv/math_instruct | |
Let n = 2.5 - 3. Let l = -832 + 95. Let f = l + 733. Which is the smallest value? (a) 2/13 (b) n (c) f\n | c\n | ibivibiv/math_instruct | |
Calculate prob of sequence adp when three letters picked without replacement from {j: 1, x: 5, a: 1, d: 7, p: 1, f: 2}.\n | 7/4080\n | ibivibiv/math_instruct | |
Let a(r) = 12*r. Let y(s) = -17324*s - 5. Calculate a(y(u)).\n | -207888*u - 60\n | ibivibiv/math_instruct | |
Convert 2764 (base 8) to base 2.\n | 10111110100\n | ibivibiv/math_instruct | |
Write an educational piece suited for college students related to the following text snippet:
"# Graph theory: shortest path with dynamic programming
Suppose we have a graph $G=(V,A)$ with $n$ nodes. For every arrow $(i,j)$ in $A$ we have a length $l(i,j)$. We want to find a path from $n$ back to itself, which travels... | To tackle this problem, let's begin by breaking down the given information and defining our task. We are working with a directed graph G = (V, A), where V represents the set of n nodes numbered from 1 to n, and A denotes the set of arrows between these nodes. Each arrow (i, j) has a corresponding length l(i, j). The o... | ibivibiv/math_instruct | |
What is prob of sequence coo when three letters picked without replacement from ofcfcfocbcb?\n | 4/495\n | ibivibiv/math_instruct | |
Suppose 0 = 10*z - 13*z + 54. Is 12 a factor of z?\n | False\n | ibivibiv/math_instruct | |
Factor -20*i**2 - 52064*i + 4558848.\n | -4*(i + 2688)*(5*i - 424)\n | ibivibiv/math_instruct | |
Let u = 1.131685 + -0.79162. Let w = 19 - 18.66. Let g = w - u. What is g rounded to 5 decimal places?\n | -0.00007\n | ibivibiv/math_instruct | |
In base 3, what is 21022 - 10122212201110?\n | -10122212110011\n | ibivibiv/math_instruct | |
Multiply -3 and 2.866.\n | -8.598\n | ibivibiv/math_instruct | |
Let g = 286 + -286. Let r(y) = y**2 - 3*y + 1. Let h be r(g). Solve h = 5*d - 4*d for d.\n | 1\n | ibivibiv/math_instruct | |
What is the nearest to 0 in 5/6, 1/7, 3/7, -4?\n | 1/7\n | ibivibiv/math_instruct | |
Let w = -61 - -63. Let a(m) = -m**3 + 3*m**2 + 10*m + 2. Let c(f) = f**3 + f**2 - f + 1. Let i(y) = w*c(y) + a(y). Factor i(k).\n | (k + 1)*(k + 2)**2\n | ibivibiv/math_instruct | |
(-737)/55 + (-21)/(-15)\n | -12\n | ibivibiv/math_instruct | |
Collect the terms in 3379 - 3379 - 11*n**3.\n | -11*n**3\n | ibivibiv/math_instruct | |
What is the result of the following expression?
(14.457 * -49.446) / (-15.679 / 53.667) | 2446.7991 | ibivibiv/math_instruct | |
What is the cube root of 301161736 to the nearest integer?\n | 670\n | ibivibiv/math_instruct | |
What is the eighth root of 11525 to the nearest integer?\n | 3\n | ibivibiv/math_instruct | |
Let r be (-3)/(-15)*15/(-2)*-1. Let y = 97/2 - 50. What is the smallest value in r, y, -9?\n | -9\n | ibivibiv/math_instruct | |
Sort 869, 1, -38, 4, -6.\n | -38, -6, 1, 4, 869\n | ibivibiv/math_instruct | |
Suppose -4*f + 4*t = -0*f - 4, -3*f + 5*t - 3 = 0. Let z be ((-45)/11*1 + f)*5. Which is greater: z or -2?\n | z\n | ibivibiv/math_instruct | |
Suppose 0 = 3*m - 1 - 23. Let b(p) = -p**3 + 9*p**2 - 8*p - 7. Let f be b(m). Let g = f - -11. What is the units digit of g?\n | 4\n | ibivibiv/math_instruct | |
Suppose 0 = -5*x - 5*m + 40, 2*m + 2 - 7 = -x. Suppose 5724 = -11*t + 10*t. What is the remainder when 0 - (4/16 + t/48) is divided by x?\n | 9\n | ibivibiv/math_instruct | |
What is 0.588319 rounded to 1 dp?\n | 0.6\n | ibivibiv/math_instruct | |
Let g(c) = -167*c - 333. Determine g(-2).\n | 1\n | ibivibiv/math_instruct | |
Product of 4 and -1340700.\n | -5362800\n | ibivibiv/math_instruct | |
Let k = -89 + 164. Suppose -2*q + 22 = -4*d - 16, -3*q - 3*d = -k. Suppose -18*y - 40 = -q*y. Which is the second smallest value? (a) -1/2 (b) y (c) 4\n | c\n | ibivibiv/math_instruct | |
Suppose 3*h - 27 + 7 = 2*u, -5*h + 5*u + 40 = 0. Suppose 0 = z - h*i + 2, -2*z - 3*i + 4*i - 4 = 0. What is z rounded to the nearest integer?\n | -2\n | ibivibiv/math_instruct | |
Calculate prob of picking 1 l and 1 y when two letters picked without replacement from lllollyllllooll.\n | 11/105\n | ibivibiv/math_instruct | |
Let g be -3 + 5 - (0 + 377). Let n be (1 + (-18)/10)/(150/g). Is (-5)/(-25) + (n - 10848/(-10)) a prime number?\n | True\n | ibivibiv/math_instruct | |
What is next in 2717, 5424, 8129, 10832, 13533, 16232, 18929?\n | 21624\n | ibivibiv/math_instruct | |
What are the prime factors of 652528857?\n | 3, 217509619\n | ibivibiv/math_instruct | |
Solve 285*p + 283*p = 9088 for p.\n | 16\n | ibivibiv/math_instruct | |
Simplify ((2 + 5*(-3 + sqrt(432)*-1*-4 + sqrt(432)))*5)**2.\n | -195000*sqrt(3) + 6754225\n | ibivibiv/math_instruct | |
Let c be (30/18 - 1)*6. Solve -h = -c, 3*h - 2 - 7 = -j for j.\n | -3\n | ibivibiv/math_instruct | |
Evaluate 10 - (3 - -3) - 5.\n | -1\n | ibivibiv/math_instruct | |
-65152 divided by 16\n | -4072\n | ibivibiv/math_instruct | |
Suppose -138 = -w + 4*w. Let g = 353/7 + w. What is the common denominator of 48/11 and g?\n | 77\n | ibivibiv/math_instruct | |
Solve 15*j**5/2 - 518*j**4 + 14271*j**3/2 + 1195*j**2 - 23766*j + 13300 = 0.\n | -2, 2/3, 7/5, 19, 50\n | ibivibiv/math_instruct | |
Suppose -8*g + 5*g = -48*g + 45900. Solve g*w - 4 = 1021*w for w.\n | -4\n | ibivibiv/math_instruct | |
Find the third derivative of -1473*w**6 - 10*w**4 + 11*w**2 - 1369.\n | -176760*w**3 - 240*w\n | ibivibiv/math_instruct | |
Let u = -4589/120 - -913/24. Let b = 1 - 0.8. What is the nearest to 2 in u, 1, b?\n | 1\n | ibivibiv/math_instruct | |
Suppose -v + 2 = 5*b + 19, 4*b - v = -19. Let h be b*1/4*(1 - 1). Let 2/3*k - 1/3*k**2 + h = 0. What is k?\n | 0, 2\n | ibivibiv/math_instruct | |
Write an educational piece suited for college students related to the following text snippet:
"# Binary Numbers¶
We’re used to counting in a base-10 numbering system, called the decimal system. In the decimal system each place is 10 times larger than the next place and there are 10 number symbols (0 through 9).
Consi... | The numbers we commonly use on a daily basis are part of the decimal system, also known as a base-10 numbering system. This means that each digit in a number can have ten different values, ranging from 0 to 9. Furthermore, each position in this system has a value ten times greater than the previous one. For example, i... | ibivibiv/math_instruct | |
In base 5, what is -22440001031 - -114?\n | -22440000412\n | ibivibiv/math_instruct | |
Solve 0 = -3*i + 4*v - 64, 4*i - 9262 + 9352 = 3*v for i.\n | -24\n | ibivibiv/math_instruct | |
Suppose 0 = -2*y - 0*y - 5*q + 215, 5*y = 5*q + 555. Is y a multiple of 22?\n | True\n | ibivibiv/math_instruct | |
Let g = -68369 - -131816. Suppose -57096 = -23*t + g. Is t prime?\n | False\n | ibivibiv/math_instruct | |
Sort -4, -1, -467 in increasing order.\n | -467, -4, -1\n | ibivibiv/math_instruct | |
Let s(g) = 10*g**3 + 7*g + 1. Let x(t) be the first derivative of -9*t**4/4 - 3*t**2 - 2*t + 6367. Determine 6*s(y) + 7*x(y).\n | -3*y**3 - 8\n | ibivibiv/math_instruct | |
Simplify (((sqrt(2448) - (sqrt(2448) + -2*(3 + sqrt(2448) - sqrt(2448)))) + -3)*5)**2.\n | 225\n | ibivibiv/math_instruct | |
What is 173 minutes after 3:08 AM?\n | 6:01 AM\n | ibivibiv/math_instruct | |
Determine w so that -5*w**5 - 414528*w**4 + 165817*w**3 + 414528*w**2 - 165812*w = 0.\n | -82906, -1, 0, 2/5, 1\n | ibivibiv/math_instruct | |
-1 divided by -44\n | 1/44\n | ibivibiv/math_instruct | |
Let r(l) = l**3 + 18*l**2 + 15*l - 25. Let h be r(-17). Let p = h - 1. Let w = 16 + -8. What is the highest common factor of w and p?\n | 8\n | ibivibiv/math_instruct | |
Let h(u) = 3221*u - 466. What is the thousands digit of h(2)?\n | 5\n | ibivibiv/math_instruct | |
Let t = 339 - 336. Suppose 3*y + 5*r = -68 + 483, r + 439 = t*y. What is the remainder when y is divided by 49?\n | 47\n | ibivibiv/math_instruct | |
Sort 3, -3740, 62 in descending order.\n | 62, 3, -3740\n | ibivibiv/math_instruct | |
Suppose 5*x - 296 - 1359 = 0. Suppose -183 = -2*d + x. Is d a prime number?\n | True\n | ibivibiv/math_instruct | |
What is 0.13488 rounded to 2 decimal places?\n | 0.13\n | ibivibiv/math_instruct | |
Which is the nearest to -6? (a) 5 (b) -39 (c) 0.6\n | c\n | ibivibiv/math_instruct | |
Let y = -1914 + 1687. What is the second biggest value in y, 2/9, 5?\n | 2/9\n | ibivibiv/math_instruct | |
Convert 0.3446007l to millilitres.\n | 344.6007\n | ibivibiv/math_instruct | |
b"What is the sth term of 1484, 5906, 13334, 23816, 37400, 54134, 74066, 97244?\n" | 8*s**3 + 1455*s**2 + s + 20\n | ibivibiv/math_instruct | |
What is 20 minutes before 7:39 AM?\n | 7:19 AM\n | ibivibiv/math_instruct | |
Let t = 185 + -185. Suppose 4*z - 8 = t, -4*w + 827 = -z + 89. List the prime factors of w.\n | 5, 37\n | ibivibiv/math_instruct | |
Calculate the remainder when 522 is divided by 183.\n | 156\n | ibivibiv/math_instruct | |
What is 115 - 118 - (-70 + 7 + -4)?\n | 64\n | ibivibiv/math_instruct | |
Let f(w) = -42*w + 17. Is f(-6) prime?\n | True\n | ibivibiv/math_instruct | |
Let p(i) = -i**2 + 133*i + 2485. What is p(154)?\n | -749\n | ibivibiv/math_instruct | |
In base 5, what is 120 + 11320013240?\n | 11320013410\n | ibivibiv/math_instruct | |
1.315*-0.022571\n | -0.029680865\n | ibivibiv/math_instruct |
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