instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
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|---|---|---|---|
What is 312a09 (base 11) in base 8?\n | 1723653\n | ibivibiv/math_instruct | |
Let h = -107.6 - -108. Let q = -0.1 + 0.1. Which is the nearest to q? (a) h (b) 1 (c) -2/13\n | c\n | ibivibiv/math_instruct | |
What is the product of -19 and 10?\n | -190\n | ibivibiv/math_instruct | |
Let k = -3 + 5. Suppose 6 = -7*i + 10*i. Find the second derivative of -k*h**4 + 2*h**4 + h + i*h**4 wrt h.\n | 24*h**2\n | ibivibiv/math_instruct | |
Put 2/23, -894, 1, 1/5, 3, 0.3 in decreasing order.\n | 3, 1, 0.3, 1/5, 2/23, -894\n | ibivibiv/math_instruct | |
12 + 12 + 16 + -29\n | 11\n | ibivibiv/math_instruct | |
Suppose -9 = 4*l - 21. Suppose 2*p + 4*t = -0*p + 64, -4*p - l*t + 113 = 0. What are the prime factors of p?\n | 2, 13\n | ibivibiv/math_instruct | |
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"# Partial Correlation
## What is Partial Correlation and it’s purpose
Partial correlation is used to find the correlation between two variables (typically a dependent and an independent variable) with the effect of other in... | Correlation measures the strength and direction of a linear relationship between two variables. It provides insight into how closely connected the movements of two variables are. However, sometimes this connection might be influenced by other factors, which is where partial correlation comes into play.
### Understand... | ibivibiv/math_instruct | |
What is the second derivative of -1549*u**2 - 7837*u?\n | -3098\n | ibivibiv/math_instruct | |
b"What is the wth term of -54, -100, -146?\n" | -46*w - 8\n | ibivibiv/math_instruct | |
Let z(o) = 4*o**2 - 7*o - 8. Let r be z(-5). Let j = 22 + r. Calculate the common denominator of 111/10 and j/70 + 3/(-15).\n | 70\n | ibivibiv/math_instruct | |
Let s be (-24)/(-11) + (-2)/11. Solve -r = 3*q - q, -s*r + 5*q = 9 for r.\n | -2\n | ibivibiv/math_instruct | |
Which is smaller: -5747 or -1?\n | -5747\n | ibivibiv/math_instruct | |
Sort -1274, 855, -5, -1, 0 in descending order.\n | 855, 0, -1, -5, -1274\n | ibivibiv/math_instruct | |
Let k(x) = -x**2 - 10*x - 11. Let w(j) = -j**2 + 7*j - 11. Let z be w(-6). Let b = z - -81. Determine k(b).\n | 5\n | ibivibiv/math_instruct | |
Collect the terms in 138*i + i**2 + 8247 + 6925 - 5485.\n | i**2 + 138*i + 9687\n | ibivibiv/math_instruct | |
Let u(x) be the third derivative of -x**6/120 - x**4/24 + 7*x**2. Let j be u(0). Solve j*c = c - 5 for c.\n | 5\n | ibivibiv/math_instruct | |
John raises emu. He has 4 pens for emu and each pen has 6 emus in it. Each female emu lays 1 egg per day. If x% the emu are females how many eggs does he get a week?
If we know the answer to the above question is 84, what is the value of unknown variable x? | John has 4 pens for emu, and each pen has 6 emus in it, so he has a total of 4 * 6 = 24 emus.
If x% of the emus are females, then the number of female emus is x% of 24, or (x/100) * 24 = (24x/100) = 0.24x.
Each female emu lays 1 egg per day, so the number of eggs John gets per day is 0.24x.
In a week, there are 7 days,... | ibivibiv/math_instruct | |
Let k(l) = 12*l**3 + 7*l**2. Let n(d) = 11*d**3 + 6*d**2. Calculate 6*k(q) - 7*n(q).\n | -5*q**3\n | ibivibiv/math_instruct | |
Let h be (-1)/(-2)*12/(-108)*12. Suppose 4*z - 2*z = 4. Let q = -93 - -93.7. Which is the closest to 1/2? (a) q (b) h (c) z\n | a\n | ibivibiv/math_instruct | |
What is next in 105770, 105775, 105780, 105785?\n | 105790\n | ibivibiv/math_instruct | |
Let w(d) = -41*d - 1. Let s(p) = -40*p - 2. Give 3*s(g) - 4*w(g).\n | 44*g - 2\n | ibivibiv/math_instruct | |
What is 341 minutes after 4:35 PM?\n | 10:16 PM\n | ibivibiv/math_instruct | |
Let s be 9/27*(-1 - -31). Let j be (-8)/(-5)*25/s. Find the second derivative of -53*c + 3*c**4 + c**j + 52*c wrt c.\n | 48*c**2\n | ibivibiv/math_instruct | |
Let g = -35/12 + 9/4. Let n = 2 - 3. What is the closest to -1 in n, g, 1/5?\n | n\n | ibivibiv/math_instruct | |
Simplify (l*l/l**(-2/7)*l**(-3/5)*l*l)**(-39) assuming l is positive.\n | l**(-5031/35)\n | ibivibiv/math_instruct | |
Expand y**2 + 1 - 1 + (-2*y + 0*y + y)*(-2*y - 4*y + 4*y) + (-y**2 + 4*y**2 - y**2)*(1 + 1 - 7) - 2*y**2 - y + y.\n | -9*y**2\n | ibivibiv/math_instruct | |
Suppose 2*r - 3*r = -7. Let m(d) = -d**3 + 6*d**2 + 8*d + 5. Suppose 31*o - 3*o = 196. Calculate the remainder when m(r) is divided by o.\n | 5\n | ibivibiv/math_instruct | |
Let v(j) = -7*j + 182. Give v(25).\n | 7\n | ibivibiv/math_instruct | |
Suppose -5*h - 4*v = -3183 - 2555, 2*h - 2*v = 2288. Suppose w + 21 - h = 0. What are the prime factors of w?\n | 3, 5\n | ibivibiv/math_instruct | |
Let c(l) = 149 + 5*l**2 - 4*l - 62 - 65 + 4*l**2. Let h(x) = 2*x. Give h(c(j)).\n | 18*j**2 - 8*j + 44\n | ibivibiv/math_instruct | |
Let w = -112 - -111. Which is the closest to w? (a) 3/2 (b) -5 (c) 1\n | c\n | ibivibiv/math_instruct | |
Suppose 1800*l**3 - 15597840*l**2 + 7278698*l - 849170 = 0. Calculate l.\n | 7/30, 8665\n | ibivibiv/math_instruct | |
What is 0.0826 rounded to 2 decimal places?\n | 0.08\n | ibivibiv/math_instruct | |
What is the cube root of 1150799108 to the nearest integer?\n | 1048\n | ibivibiv/math_instruct | |
What is the fourth biggest value in 5, -12, -0.04, -0.283, 1?\n | -0.283\n | ibivibiv/math_instruct | |
Calculate prob of sequence vkok when four letters picked without replacement from {f: 2, v: 1, k: 10, o: 1}.\n | 15/4004\n | ibivibiv/math_instruct | |
Suppose -7*a + 926 + 446 = 0. Let i = -56 + a. What is the units digit of i?\n | 0\n | ibivibiv/math_instruct | |
Simplify (((d**(-6)*d)/(d*((d*d**(2/5))/d)/d*d))**31)**(5/3) assuming d is positive.\n | d**(-992/3)\n | ibivibiv/math_instruct | |
What is prob of sequence ppe when three letters picked without replacement from {e: 5, p: 3}?\n | 5/56\n | ibivibiv/math_instruct | |
Factor 5*m**4 + 110*m**3 - 22400*m**2 + 440320*m.\n | 5*m*(m - 32)**2*(m + 86)\n | ibivibiv/math_instruct | |
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"# How many unit simplices are needed to cover a unit $n$-cube?
The volume of an $n$-dimensional simplex of unit edge length is $$V(n) = \frac{\sqrt{n+1}}{n! 2^{n/2}} \;,$$ so at least $\lceil 1/V(n) \rceil$ such simplices ar... | To answer the questions posed in the given text snippet, we need to delve into some geometrical concepts and their implications. We start by defining a unit simplex and a unit n-cube, followed by an explanation of the formula for the volume of an n-dimensional simplex. Then, we analyze the lower and upper bounds provi... | ibivibiv/math_instruct | |
What is the first derivative of h*r**2 + 2*h*r + 27510*h - 7398*r**2 - 6 wrt r?\n | 2*h*r + 2*h - 14796*r\n | ibivibiv/math_instruct | |
Let d be ((-15)/(-2))/(9/12). Suppose -2*n = 2*j + 153 - 497, -j + 4*n + 152 = 0. Let y = j - 58. Calculate the highest common factor of y and d.\n | 10\n | ibivibiv/math_instruct | |
Let v(f) = 75*f**3 + 975*f**2 - 4*f - 56. Give v(-13).\n | -4\n | ibivibiv/math_instruct | |
Find the second derivative of -10254*h**3 + 48*h - 28 wrt h.\n | -61524*h\n | ibivibiv/math_instruct | |
Calculate the greatest common divisor of 5489 and 11.\n | 11\n | ibivibiv/math_instruct | |
Evaluate (-25)/(1875/(-15))*3.\n | 3/5\n | ibivibiv/math_instruct | |
Simplify 0 + (-1*sqrt(19)*3 + sqrt(19))**2 - (sqrt(171)/((-3*sqrt(9) + sqrt(9) + sqrt(9))*-4))**2.\n | 1197/16\n | ibivibiv/math_instruct | |
Jame gets 20 singing lessons. He gets the first lesson free and after the first 10 paid lessons he only needs to pay for every other lesson. Each lesson is $5. His uncle pays for half. How much does James pay? | James gets the first lesson for free, so he has 19 lessons left to pay for.
After the first 10 paid lessons, he only needs to pay for every other lesson, so he pays for 5 out of the remaining 9 lessons.
In total, James pays for 10 + 5 = 15 lessons.
Each lesson costs $5, so the total cost for 15 lessons is 15 * $5 = $75... | ibivibiv/math_instruct | |
Let x(l) = 901*l - 2 - 904*l + 1 + 1. Let w(j) be the first derivative of j**3/3 - 77*j + 3. Calculate x(w(f)).\n | -3*f**2 + 231\n | ibivibiv/math_instruct | |
What is 0.00089741536 rounded to six decimal places?\n | 0.000897\n | ibivibiv/math_instruct | |
Let r(c) = c**2 - c + 1 + 10*c - 2*c. Let u be r(-6). Let f(o) = -o + 3. Does 4 divide f(u)?\n | True\n | ibivibiv/math_instruct | |
Calculate ((2 + 40/(-15))/(-2))/((238/(-1134))/(-17)).\n | 27\n | ibivibiv/math_instruct | |
Convert 2b (base 16) to base 11.\n | 3a\n | ibivibiv/math_instruct | |
Calculate the remainder when 14 is divided by (-3)/(2 - -1) + 5.\n | 2\n | ibivibiv/math_instruct | |
Which is the fifth biggest value? (a) -0.1 (b) 3 (c) -5 (d) 4 (e) 0.0047\n | c\n | ibivibiv/math_instruct | |
Put -2, 994, -91, 12 in ascending order.\n | -91, -2, 12, 994\n | ibivibiv/math_instruct | |
What is the closest to 2/7 in 2/15, 434, 1/6?\n | 1/6\n | ibivibiv/math_instruct | |
b"What is the uth term of 284, 541, 798?\n" | 257*u + 27\n | ibivibiv/math_instruct | |
Suppose 2*w = w + 4. Suppose -4*q + 1025 = -v, 3*v - 682 - 355 = -w*q. Is q prime?\n | True\n | ibivibiv/math_instruct | |
Convert 375759.1 nanoseconds to seconds.\n | 0.0003757591\n | ibivibiv/math_instruct | |
What is the value of 6474/(-702) - (-4)/18?\n | -9\n | ibivibiv/math_instruct | |
Calculate the common denominator of -24/107185 and 22/30555.\n | 6752655\n | ibivibiv/math_instruct | |
Let a = -2 + 6. Let c be (2/(-8))/(24/96). Put c, a, -3 in decreasing order.\n | a, c, -3\n | ibivibiv/math_instruct | |
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"# Which player wins in this takeaway game?
Two players A and B play a game where they take turns removing 1,4, or 5 coins from a pile of n coins, A moving first. The player who takes the last coin wins. Who wins when: n=18, ... | This takeaway game involves two players, A and B, taking turns removing either 1, 4, or 5 coins from a pile of n coins. Player A moves first, and the player who removes the last coin is declared the winner. Here, we aim to determine which player wins if n equals 18, 41, or 56. Additionally, there will be discussions a... | ibivibiv/math_instruct | |
List the prime factors of 5258.\n | 2, 11, 239\n | ibivibiv/math_instruct | |
What is 514 minutes before 6:53 PM?\n | 10:19 AM\n | ibivibiv/math_instruct | |
What is the ten thousands digit of 83563695?\n | 6\n | ibivibiv/math_instruct | |
List the prime factors of 2380901.\n | 17, 140053\n | ibivibiv/math_instruct | |
Convert 22994.85mm to meters.\n | 22.99485\n | ibivibiv/math_instruct | |
Suppose -2*z = -5*z + 24. Suppose 0 = -0*r + r - z. What is the units digit of r?\n | 8\n | ibivibiv/math_instruct | |
Is -193/2 greater than -98?\n | True\n | ibivibiv/math_instruct | |
What is the closest to 9 in 1/5, 3, -3/5?\n | 3\n | ibivibiv/math_instruct | |
What is seventy-one quarters of a decade in months?\n | 2130\n | ibivibiv/math_instruct | |
Let x = -1.2 - -0.2. Let t = -6 + 19/3. Which is the nearest to x? (a) t (b) 5 (c) -2/3\n | c\n | ibivibiv/math_instruct | |
Calculate the highest common factor of 63136 and 152.\n | 8\n | ibivibiv/math_instruct | |
What is (94 - 100) + -35 + 129?\n | 88\n | ibivibiv/math_instruct | |
What is three eighths of a litre in millilitres?\n | 375\n | ibivibiv/math_instruct | |
Solve 0 = f - 5*s - 28, 20*s = 4*f + 19*s - 17 for f.\n | 3\n | ibivibiv/math_instruct | |
Collect the terms in -12*b + 20*b - 656471*b**3 - 8*b + 656462*b**3.\n | -9*b**3\n | ibivibiv/math_instruct | |
Suppose -5*a = -5*h + 3*h - 18, -3*h - 2*a - 8 = 0. Let s = 12 - 13. Sort s, h, 1 in increasing order.\n | h, s, 1\n | ibivibiv/math_instruct | |
Let k(h) = 22*h**3 - 8*h**2 + 24*h - 46. What is the thousands digit of k(5)?\n | 2\n | ibivibiv/math_instruct | |
Solve 187817 - 19301 = 2781*r + 2655*r for r.\n | 31\n | ibivibiv/math_instruct | |
Calculate 1033188 divided by -258297.\n | -4\n | ibivibiv/math_instruct | |
Let r(x) = -x**3 - 3*x**2 + 58*x + 218. Determine r(-4).\n | 2\n | ibivibiv/math_instruct | |
What is the first derivative of 198860148*d**2*i - 121363022*d**2*u + 3*d*u + i*u wrt i?\n | 198860148*d**2 + u\n | ibivibiv/math_instruct | |
Suppose 0 = -2*w + 2*j + 1974, 4*w - 3*j - 5363 + 1412 = 0. What is the tens digit of w?\n | 9\n | ibivibiv/math_instruct | |
b"What is the gth term of -204, -398, -588, -774, -956?\n" | 2*g**2 - 200*g - 6\n | ibivibiv/math_instruct | |
Let w(o) be the second derivative of -1/4*o**4 - 1/2*o**2 + 2/3*o**3 - 24 - 3*o. Give w(3).\n | -16\n | ibivibiv/math_instruct | |
Calculate the remainder when 937 is divided by 59.\n | 52\n | ibivibiv/math_instruct | |
Express -3340*m + 2556*m + 4018*m + 3328*m + 1991*m in the form w + j*m and give j.\n | 8553\n | ibivibiv/math_instruct | |
Suppose 2*h**5 - 74*h**4 + 210*h**3 - 206*h**2 + 68*h = 0. What is h?\n | 0, 1, 34\n | ibivibiv/math_instruct | |
Suppose -3*b + 4*c = 2 - 24, -5*b + c = -14. Suppose 4*u - 8 = -0*u. Suppose -u = -3*v + 7. Solve 0 = -f - b*i, 0 = 2*f + 3*i - 5 + v for f.\n | 4\n | ibivibiv/math_instruct | |
Simplify (sqrt(60) + sqrt(360)/sqrt(6))/sqrt(12) - -2*sqrt(405).\n | 20*sqrt(5)\n | ibivibiv/math_instruct | |
Which is the third smallest value? (a) 229/2 (b) -3 (c) 2.3 (d) 0.22\n | c\n | ibivibiv/math_instruct | |
Let s(c) be the third derivative of -c**5/30 + c**4/12 - c**3/6 + 4*c**2. Let z be s(2). Let a = z - -5. Are -1/7 and a non-equal?\n | True\n | ibivibiv/math_instruct | |
Work out -87.72267 * -0.1.\n | 8.772267\n | ibivibiv/math_instruct | |
What is 5 divided by 381708?\n | 5/381708\n | ibivibiv/math_instruct | |
What is the next term in 39, 850, 3541, 9210, 18955?\n | 33874\n | ibivibiv/math_instruct |
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