instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Solve -2*u - 1 = 3*d, -4*u - u + 32 = -4*d for u.\n | 4\n | ibivibiv/math_instruct | |
Determine the distance between the points (2, 1, -4) and (5, 8, -3). | The distance between two points in three-dimensional space can be found using the distance formula:
$$\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2 + (z_2-z_1)^2}.$$
Using this formula, we can calculate the distance between the points (2, 1, -4) and (5, 8, -3) as follows:
$$\sqrt{(5-2)^2 + (8-1)^2 + (-3-(-4))^2}=\sqrt{3^2+7^2+1^2}=\... | ibivibiv/math_instruct | |
Solve -4*h + 11156 - 11120 = 0 for h.\n | 9\n | ibivibiv/math_instruct | |
Does 6 divide 28648565?\n | False\n | ibivibiv/math_instruct | |
Solve 622*l - 321*l - 322*l + 189 = 0 for l.\n | 9\n | ibivibiv/math_instruct | |
In base 3, what is 2000 - 100?\n | 1200\n | ibivibiv/math_instruct | |
What is -1111 (base 2) in base 16?\n | -f\n | ibivibiv/math_instruct | |
What is the fourth root of 8858 to the nearest integer?\n | 10\n | ibivibiv/math_instruct | |
Solve 16 = -18*t - 2 for t.\n | -1\n | ibivibiv/math_instruct | |
Calculate the highest common divisor of 35632553 and 19103.\n | 2729\n | ibivibiv/math_instruct | |
Solve -3200*m + 55 = -3211*m for m.\n | -5\n | ibivibiv/math_instruct | |
Let y be ((-19)/(-76))/(2 - 3). What is the nearest to -8/5 in 2, -0.3, y?\n | -0.3\n | ibivibiv/math_instruct | |
Let j(h) = -8 - 6*h + 11*h + 1 - 6*h. Let x(i) = -i**2 + 4. Let t be x(-5). What is the remainder when 68 is divided by j(t)?\n | 12\n | ibivibiv/math_instruct | |
Two letters picked without replacement from hxox. Give prob of picking 1 o and 1 x.\n | 1/3\n | ibivibiv/math_instruct | |
What is 159393 to the power of 1/4, to the nearest integer?\n | 20\n | ibivibiv/math_instruct | |
What is the third derivative of -28*d**3*u**2 + 118*d**3*u + 5*d**3 - 13852*d**2*u + 2*d**2 + 4*u**2 wrt d?\n | -168*u**2 + 708*u + 30\n | ibivibiv/math_instruct | |
Let i(z) = 71*z**3 + 3416*z + 14. Let t(k) = 36*k**3 + k**2 + 1709*k + 6. Let h(m) = 3*i(m) - 7*t(m). What is the second derivative of h(f) wrt f?\n | -234*f - 14\n | ibivibiv/math_instruct | |
Let s(n) = -n**2 + 4*n - 2. Let z be s(4). Let a(i) = -2*i + 1. Let f be a(-1). Let k = z + f. What is the units digit of k?\n | 1\n | ibivibiv/math_instruct | |
What is 1314772885 to the power of 1/3, to the nearest integer?\n | 1096\n | ibivibiv/math_instruct | |
Let c(g) = -3*g**2 + 36*g + 7. Suppose 2*q + 6*q - 96 = 0. Let x be c(q). Calculate the greatest common divisor of x and 49.\n | 7\n | ibivibiv/math_instruct | |
Solve 0*g - g + 4*t = 2, 2*g + 4*t - 8 = 0 for g.\n | 2\n | ibivibiv/math_instruct | |
Put 4, -6, -8, -1, -2, 23, -80 in descending order.\n | 23, 4, -1, -2, -6, -8, -80\n | ibivibiv/math_instruct | |
Calculate -16 divided by 27673.\n | -16/27673\n | ibivibiv/math_instruct | |
Divide 2113 by -2113.\n | -1\n | ibivibiv/math_instruct | |
Let b = 1 - -4. Sort b, 2, 3 in increasing order.\n | 2, 3, b\n | ibivibiv/math_instruct | |
Let x(l) = -l**3 - 23*l**2 + l + 27. Let k be x(-23). Suppose 2*p = -5*s + 12 + 147, 0 = -3*p + k*s + 181. What are the prime factors of p?\n | 67\n | ibivibiv/math_instruct | |
Let s(r) = -r**3 + 33*r**2 + 33*r - 1966. Calculate s(8).\n | -102\n | ibivibiv/math_instruct | |
Let t(q) = q**3 + 15*q**2 + 14*q - 225. Calculate t(-13).\n | -69\n | ibivibiv/math_instruct | |
Suppose -t + 2 = a - 0*a, 3*t = 3*a + 12. What is the derivative of -1 - 3*q**3 + 1 + 4*q**t + 1 wrt q?\n | 3*q**2\n | ibivibiv/math_instruct | |
Calculate 6/2 - ((-79007)/615)/(-41).\n | -2/15\n | ibivibiv/math_instruct | |
c0 (base 14) to base 15\n | b3\n | ibivibiv/math_instruct | |
Let f(r) = 2*r**2 - 10*r + 13. Suppose 10*d = -626 + 696. Let g(i) = i**2 - 5*i + 6. What is d*g(s) - 3*f(s)?\n | s**2 - 5*s + 3\n | ibivibiv/math_instruct | |
What is the greatest common divisor of 2005025 and 77165?\n | 1265\n | ibivibiv/math_instruct | |
What is the tens digit of 37447?\n | 4\n | ibivibiv/math_instruct | |
Let u = -92 + 94. Suppose 0 = -o - 2*n - u*n + 8, n + 63 = 3*o. Does 5 divide o?\n | True\n | ibivibiv/math_instruct | |
Round 125.8753058 to 1 decimal place.\n | 125.9\n | ibivibiv/math_instruct | |
Let x(h) = 35 - 3*h + 19*h + 24. Is x(20) a composite number?\n | False\n | ibivibiv/math_instruct | |
Suppose -31 = -8*k - 23. Which is bigger: 1/48 or k?\n | k\n | ibivibiv/math_instruct | |
What is the thousands digit of 2207388?\n | 7\n | ibivibiv/math_instruct | |
What is the smallest common multiple of 900 and 20500?\n | 184500\n | ibivibiv/math_instruct | |
Rearrange -348 + 714 - 342 - 6*j to the form s*j + g and give s.\n | -6\n | ibivibiv/math_instruct | |
Let v be ((-234432)/(-12))/11 + -25. Calculate the greatest common factor of 34 and v.\n | 17\n | ibivibiv/math_instruct | |
Let -2*p**2 + 6552616*p - 5367097055432 = 0. Calculate p.\n | 1638154\n | ibivibiv/math_instruct | |
Collect the terms in 20*i**3 - 13*i**3 + 15*i**3.\n | 22*i**3\n | ibivibiv/math_instruct | |
What is the tens digit of 8963?\n | 6\n | ibivibiv/math_instruct | |
Let d(z) = -121*z**2 - 19977*z - 2093. What is d(-165)?\n | -113\n | ibivibiv/math_instruct | |
Let h(l) = -2*l**3 - 349*l**2 + 941*l + 72646. Determine h(-176).\n | -42\n | ibivibiv/math_instruct | |
Which is bigger: -7677 or -363?\n | -363\n | ibivibiv/math_instruct | |
Let x(r) be the second derivative of 6*r + 0 - 3*r**2 - 4/3*r**3. What is the tens digit of x(-3)?\n | 1\n | ibivibiv/math_instruct | |
Simplify 2*sqrt(162) + -4.\n | -4 + 18*sqrt(2)\n | ibivibiv/math_instruct | |
Let i(l) = l**2. Let d(u) = -44*u**2 + 32*u + 32. Let v(p) = -4*p**2 + 3*p + 3. Let b(g) = -3*d(g) + 32*v(g). What is b(i(f))?\n | 4*f**4\n | ibivibiv/math_instruct | |
Evaluate (3750/220)/(-25)*((-18)/(-12))/(30/16).\n | -6/11\n | ibivibiv/math_instruct | |
Let g(j) be the third derivative of 5/24*j**4 + 62*j**2 - j**3 + 0*j + 0 + 1/120*j**6 - 1/10*j**5. Calculate g(5).\n | -6\n | ibivibiv/math_instruct | |
Expand -4*n + n - n + 4*n - 2*n - 4*n + (-2*n + 1 - 1)*(1 + 4 + 6).\n | -28*n\n | ibivibiv/math_instruct | |
Evaluate 1/(16/5 - 6/2).\n | 5\n | ibivibiv/math_instruct | |
Let n(a) = 14*a + 6. Let t(q) = 5*q + 2. Let h(o) = -12*o**2 + o + 2. Let b = -7 - -6. Let p be h(b). Give p*t(g) + 4*n(g).\n | g + 2\n | ibivibiv/math_instruct | |
What is the lowest common multiple of 413934 and 64?\n | 13245888\n | ibivibiv/math_instruct | |
Suppose 0 = -5*h - 1 + 26. Suppose h*c = 2*y - 0*y + 41, -30 = -3*c + 3*y. Suppose 2*p = c*p - 55. What are the prime factors of p?\n | 11\n | ibivibiv/math_instruct | |
27 + (10 + -67 - -9) + -18\n | -39\n | ibivibiv/math_instruct | |
What is 4993382 to the power of 1/9, to the nearest integer?\n | 6\n | ibivibiv/math_instruct | |
What is the value of (-11)/22*(40/(-25))/(-4)?\n | -1/5\n | ibivibiv/math_instruct | |
Let p(y) be the third derivative of -y**5/20 - 3*y**4/8 + 581*y**2 + 1. Let n(s) = -6*s**2. Determine n(p(q)).\n | -54*q**4 - 324*q**3 - 486*q**2\n | ibivibiv/math_instruct | |
Let n(w) = w**3 - 6*w**2 - 8*w + 9. Let c be n(7). Let o(l) = l**3 + 40*l**2 + 74*l - 67. Let r be o(-38). Suppose 4*a = 3*a + r. Sort 0, c, 4, a.\n | 0, c, 4, a\n | ibivibiv/math_instruct | |
How many minutes are there between 1:32 PM and 1:15 AM?\n | 703\n | ibivibiv/math_instruct | |
Let z be 0 + ((-133)/42)/(-19). Is 0.6 > z?\n | True\n | ibivibiv/math_instruct | |
Calculate 0.1 + -1.1818.\n | -1.0818\n | ibivibiv/math_instruct | |
Suppose -5*i**4 + 264835*i**3/3 - 441220*i**2/3 - 2294980*i/3 - 706160/3 = 0. Calculate i.\n | -2, -1/3, 4, 17654\n | ibivibiv/math_instruct | |
Let w(a) = a + 13. Let s(v) = -v**2 + 4*v + 6. Let f be s(6). Let c be w(f). Suppose 0 = c*k - 3*k + 3*o - 16, o = -5*k + 20. What is the units digit of k?\n | 4\n | ibivibiv/math_instruct | |
Solve 207*y + 5481 - 93 + 8133 = 3171 for y.\n | -50\n | ibivibiv/math_instruct | |
Factor 5*b**2 + 15540*b + 46575.\n | 5*(b + 3)*(b + 3105)\n | ibivibiv/math_instruct | |
Let r(c) = c**2. Let v(g) = 16*g**2 + 8. Let k(t) = -t**2 - 1. Let d(h) = 8*k(h) + v(h). Determine d(r(p)).\n | 8*p**4\n | ibivibiv/math_instruct | |
Let l = -79 + 77. Let n(d) = d + 6. Let g be n(l). Solve 4*f**3 + 14*f - f**g - 10*f + 4 - 8*f - 3*f**2 = 0.\n | -1, 1, 2\n | ibivibiv/math_instruct | |
In base 13, what is 0 - 700?\n | -700\n | ibivibiv/math_instruct | |
Let z(l) = 355*l**2 - 7*l + 4. Is z(-5) composite?\n | True\n | ibivibiv/math_instruct | |
Suppose -3*k + 0*f - 2*f - 162 = 0, -9 = -3*f. Let j = -51 - k. What is the smallest common multiple of j and 9?\n | 45\n | ibivibiv/math_instruct | |
Suppose -2*s = -4*b - 4*s + 30, 0 = 2*s - 2. What are the prime factors of 81 - (b - (-4)/((-4)/3))?\n | 7, 11\n | ibivibiv/math_instruct | |
Add together 0.5 and -491.882.\n | -491.382\n | ibivibiv/math_instruct | |
Expand 2*h**4 - 3*h**4 - h**4 - 570 + 570 - 29*h**4 + (0 - h + 0)*(-2*h**3 + 4*h**2 - 4*h**2) + 4 - 4 + h**4.\n | -28*h**4\n | ibivibiv/math_instruct | |
In base 8, what is 11052222 + 203?\n | 11052425\n | ibivibiv/math_instruct | |
15/(-24)*48/40\n | -3/4\n | ibivibiv/math_instruct | |
Let n(u) = u**2 + u - 7. Suppose -2*r - 2 - 5 = 3*t, 2*r - t = -3. Let l be -1*(-4 - -6 - r). Let v be 0/(-3 - (0 + l)). Calculate n(v).\n | -7\n | ibivibiv/math_instruct | |
Let w = 369.6683 + 0.4917. What is w rounded to the nearest integer?\n | 370\n | ibivibiv/math_instruct | |
Suppose 25*i = 438 - 63. Solve -i*t - 9 = -84 for t.\n | 5\n | ibivibiv/math_instruct | |
(48 - 12) + (-5 - 5 - -2) - 6\n | 22\n | ibivibiv/math_instruct | |
Suppose -2*g + 3*s - 28 = -19, -63 = 4*g + 3*s. Suppose 1 = 2*w - 171. Let y = g + w. What is y rounded to the nearest 10?\n | 70\n | ibivibiv/math_instruct | |
Convert -65414552 (base 7) to base 11.\n | -3185a54\n | ibivibiv/math_instruct | |
Write an educational piece suited for college students related to the following text snippet:
"## CCC 98 S5 - Mountain Passage
View as PDF
Points: 10
Time limit: 2.0s
Memory limit: 16M
Problem type
Alp the mountain climber is on the northwest corner of a square area of a mountainous terrain and wishes to find a pas... | This problem is an example of a classic graph search algorithm application in computer science. Here, you are given a two-dimensional grid representing a mountainous terrain, where each cell contains an elevation value. You need to help Alp, the mountain climber, reach the destination while satisfying certain constrai... | ibivibiv/math_instruct | |
Collect the terms in 991*j + 206 - 206.\n | 991*j\n | ibivibiv/math_instruct | |
What is 0.011134 times -0.083?\n | -0.000924122\n | ibivibiv/math_instruct | |
What is -2122 (base 3) in base 2?\n | -1000111\n | ibivibiv/math_instruct | |
Suppose 0 = 3*q - 9. Solve 14 = -4*h + 5*h + q*s, 2*h - 5*s + 16 = 0 for h.\n | 2\n | ibivibiv/math_instruct | |
What is the ten thousands digit of 110787?\n | 1\n | ibivibiv/math_instruct | |
Write an educational piece suited for college students related to the following text snippet:
"Two Pi Day puzzles from PyCon
### Two Pi Day puzzles from PyCon
Monday 14 March 2011
Happy Pi Day, everyone! (3/14, get it?) I got back from PyCon last night and have been trying to figure out how to integrate the energy a... | Let's dive deeper into the two Pi Day puzzles mentioned in the text. We will break down the first problem involving palindromic numbers and their sum below a googol, followed by an explanation and solution for the second problem regarding the Fibonacci sequence and its connection to the golden ratio.
**Palindromic Nu... | ibivibiv/math_instruct | |
Let o be ((-1)/(-3))/(4/12). What are the prime factors of (12/(-7))/(o/(294/(-3)))?\n | 2, 3, 7\n | ibivibiv/math_instruct | |
What is the units digit of 2280917885?\n | 5\n | ibivibiv/math_instruct | |
List the prime factors of (-3*4/24)/(3/(-3210)).\n | 5, 107\n | ibivibiv/math_instruct | |
What is 547 minutes after 5:16 PM?\n | 2:23 AM\n | ibivibiv/math_instruct | |
Express (-2*r + 0*r + r)*(16*r**2 - 10*r**2 + 22*r**2) + 0*r**3 + 0*r**3 - 2*r**3 as c*r**3 + l*r + h + f*r**2 and give c.\n | -30\n | ibivibiv/math_instruct | |
What are the prime factors of 3596978?\n | 2, 7, 11, 23357\n | ibivibiv/math_instruct | |
Is 32797682 a composite number?\n | True\n | ibivibiv/math_instruct |
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