instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
What is the nearest to 0.1 in 6, 1/4, -1, -3?\n | 1/4\n | ibivibiv/math_instruct | |
Suppose 3*q + 5*n + 10 = 0, -12 = -q + 4*n - 4. Solve -s + 12 = 2*d, q*s - 4 = -2*s + d for s.\n | 4\n | ibivibiv/math_instruct | |
Let h be (-19)/(-7) + 10/35. Let c be ((-10)/12 - (-6)/(-36))*-4. Let y(i) = -6*i - 2. Let m(j) = 7*j + 3. Calculate c*y(z) + h*m(z).\n | -3*z + 1\n | ibivibiv/math_instruct | |
Simplify ((-3*(sqrt(64)*-5 + 2*sqrt(256)))/((sqrt(30)/sqrt(3))/sqrt(5)*2*4))**2.\n | 9/2\n | ibivibiv/math_instruct | |
Rearrange -10*t**2 - 350*t**3 + 308*t**3 + 4*t**2 - 3 to m*t**3 + x*t + z*t**2 + y and give y.\n | -3\n | ibivibiv/math_instruct | |
Suppose -2*z - 4*b + 20 = -0*z, 5*z = b - 5. Suppose z*p + p = 6. What is the lowest common multiple of (-66)/(-231)*(0 - 7/(-2)) and p?\n | 6\n | ibivibiv/math_instruct | |
What is twenty-five quarters of a tonne in kilograms?\n | 6250\n | ibivibiv/math_instruct | |
Is 1989347065 a prime number?\n | False\n | ibivibiv/math_instruct | |
Let y = 109 + -105. Let s(a) = a**2 - 1. Let b(h) = -2*h**2 - 4*h + 2. Let o(z) = -b(z) - 3*s(z). Give o(y).\n | 1\n | ibivibiv/math_instruct | |
Let s(q) = q**3 - 29*q - 13. What is s(-5)?\n | 7\n | ibivibiv/math_instruct | |
What is 3823197 to the power of 1/3, to the nearest integer?\n | 156\n | ibivibiv/math_instruct | |
What is -168034043582 - -0.02?\n | -168034043581.98\n | ibivibiv/math_instruct | |
Let g(b) = -2*b**2 - 13*b + 7. Let j be g(-6). Solve -j = -4*v + 7 for v.\n | 5\n | ibivibiv/math_instruct | |
Suppose 22*y = -103*y + 20250. What is the highest common factor of 12 and y?\n | 6\n | ibivibiv/math_instruct | |
Calculate prob of picking 1 c and 1 o when two letters picked without replacement from {o: 4, t: 1, c: 1, d: 4}.\n | 4/45\n | ibivibiv/math_instruct | |
Let t = -442 + 451.28. Let v = -11.3 + t. Let q = v - -0.02. What is the second biggest value in q, -3, 3/2?\n | q\n | ibivibiv/math_instruct | |
What is prob of sequence dddd when four letters picked without replacement from {c: 3, j: 7, d: 8}?\n | 7/306\n | ibivibiv/math_instruct | |
Suppose -6 = 2*q - 5*q. Let v be 27/15 - 0 - q. Put -2/13, 3/2, v in increasing order.\n | v, -2/13, 3/2\n | ibivibiv/math_instruct | |
Two letters picked without replacement from {u: 2, s: 6, q: 3, o: 1}. Give prob of picking 1 s and 1 u.\n | 2/11\n | ibivibiv/math_instruct | |
Let t = 102 - 97. Let i(y) be the first derivative of 3*y**2/2 - y - 2. Let s be i(1). Sort t, s, 3.\n | s, 3, t\n | ibivibiv/math_instruct | |
Calculate 1 - 73642.\n | -73641\n | ibivibiv/math_instruct | |
What is the lowest common multiple of 16194441 and 6061?\n | 178138851\n | ibivibiv/math_instruct | |
List the prime factors of 2662954891.\n | 22717, 117223\n | ibivibiv/math_instruct | |
Suppose 0 = -5*c + 3*f + 10, 5*f = -2*c - 0*f + 4. Let x(d) = 12*d**2 - d + 1. What is the tens digit of x(c)?\n | 4\n | ibivibiv/math_instruct | |
Let p(y) = -y. Let f be p(4). Let s be (6 - 4) + f/(-2). Let v(c) be the first derivative of c**3/3 - 5*c + 7. Determine v(s).\n | 11\n | ibivibiv/math_instruct | |
Let -2*x**3 + 3858*x**2 - 1121238*x + 88965910 = 0. What is x?\n | 167, 1595\n | ibivibiv/math_instruct | |
Let y(p) = -47*p**2 + 478*p - 8. Calculate the remainder when y(7) is divided by 258.\n | 3\n | ibivibiv/math_instruct | |
Let a(q) be the third derivative of 1/10*q**5 + 0*q**4 + 0 + 0*q + 3*q**2 + 0*q**6 + 0*q**7 + 4/3*q**3 + 15/28*q**8. What is the third derivative of a(f) wrt f?\n | 10800*f**2\n | ibivibiv/math_instruct | |
What is the highest common factor of 30 and 3630?\n | 30\n | ibivibiv/math_instruct | |
Three letters picked without replacement from {t: 1, y: 1, g: 1, h: 1, a: 1}. Give prob of sequence tyg.\n | 1/60\n | ibivibiv/math_instruct | |
Suppose -1 + 41 = p. Is p a multiple of 4?\n | True\n | ibivibiv/math_instruct | |
How many minutes are there between 2:34 PM and 2:53 PM?\n | 19\n | ibivibiv/math_instruct | |
Let j = -48103 + 962067/20. Let f = -15 - -5. Calculate the common denominator of 4/f - 2/(-4) and j.\n | 20\n | ibivibiv/math_instruct | |
What is the fifth biggest value in 1.7, 5/3, -0.7, 1/5, 8, 5?\n | 1/5\n | ibivibiv/math_instruct | |
Let y(v) = -v**3 - 3*v**2 + 13*v + 54. What is y(-10)?\n | 624\n | ibivibiv/math_instruct | |
Simplify (((y/((y**16*y)/y))/(y/y**(-20)))/(y**(-5/6)/(y/(y*y**(-3/7)*y))))**(1/19) assuming y is positive.\n | y**(-79/42)\n | ibivibiv/math_instruct | |
What is the second smallest value in 0, 13/5, -2/43?\n | 0\n | ibivibiv/math_instruct | |
Let a = -28.56 - -23.56. Let q = 1.4 - 1.23. What is the biggest value in 0.2, q, a, -3/5?\n | 0.2\n | ibivibiv/math_instruct | |
Let d(k) = -2*k**3 + 2*k**2 + 4*k. Let s(g) = -g**2 + 3*g - 6*g**3 + 2*g + 5*g**2 + 6*g + 2*g**2. Give 8*d(n) - 3*s(n).\n | 2*n**3 - 2*n**2 - n\n | ibivibiv/math_instruct | |
Suppose -3*k + 137 = 29. Suppose j = 3*c + c - k, j - 44 = -4*c. Find the common denominator of 53/22 and 914/280 + 2/c.\n | 308\n | ibivibiv/math_instruct | |
Simplify ((q*q**(-3/4)*q*q**0)/(q**(-1)*q)**(1/7))/(((q*q*q**(1/12))/q**0)/(q**1/q)**29) assuming q is positive.\n | q**(-5/6)\n | ibivibiv/math_instruct | |
What is -414099210 divided by 19719010?\n | -21\n | ibivibiv/math_instruct | |
Let x = -44 - -47. Suppose -4*l - 2*g = -18, -x*g = 2*l + 2*g - 29. Solve -l*w = w for w.\n | 0\n | ibivibiv/math_instruct | |
Let x be ((-165)/33)/(-2 - -1). Solve -2*n + 15 = -x*n for n.\n | -5\n | ibivibiv/math_instruct | |
What is the second derivative of 132506*m**4 - 35*m**2 + 10119458*m?\n | 1590072*m**2 - 70\n | ibivibiv/math_instruct | |
What is -2.6424971 rounded to three decimal places?\n | -2.642\n | ibivibiv/math_instruct | |
What is the value of $-a-b^3+ab$ if $a=-3$ and $b=2$? | We substitute $a=-3$ and $b=2$ into the expression $-a-b^3+ab$ to get \[-(-3)-(2)^3+(-3)(2).\] Simplifying, we have $3-8-6$, which equals $\boxed{-11}$.The answer is: -11 | ibivibiv/math_instruct | |
Suppose -1 - 2 = a. Let y be -4*((-3)/4 - -2). Let j(m) = -m**2 - 7*m - 6. Let q be j(y). Sort a, 2, q in increasing order.\n | a, 2, q\n | ibivibiv/math_instruct | |
Let m(y) = -y + 11. Let o be m(7). Suppose -2*f + o*f - 6 = 0. Is 0 - 1*-9*f a multiple of 11?\n | False\n | ibivibiv/math_instruct | |
Let s be (-6)/15 + 54/10. Suppose s = 7*g - 2*g. Find the first derivative of -l**3 - g - 5 - 4*l**3 - l**3 wrt l.\n | -18*l**2\n | ibivibiv/math_instruct | |
What is the common denominator of 31136/3896 + -7 + (1 - 2) and -79/2?\n | 974\n | ibivibiv/math_instruct | |
Factor -5*s**2 - 249970*s - 3124250045.\n | -5*(s + 24997)**2\n | ibivibiv/math_instruct | |
Simplify -4 + (sqrt(147) + 2)**2 + ((sqrt(147) + 2)**2*1 - sqrt(147)).\n | 49*sqrt(3) + 298\n | ibivibiv/math_instruct | |
Solve -h - 8087*r + 8085*r - 15 = 0, 4*r + 41 = -3*h for h.\n | -11\n | ibivibiv/math_instruct | |
Let m = 0.4 + 0.6. Let g = 8 - -1. Let l = -12 + g. Which is the nearest to 1/2? (a) l (b) 3/5 (c) m\n | b\n | ibivibiv/math_instruct | |
-1ca76b (base 13) to base 11\n | -463a13\n | ibivibiv/math_instruct | |
What is 530 minutes before 11:31 PM?\n | 2:41 PM\n | ibivibiv/math_instruct | |
Let v = 5.25 + -0.25. Which is the biggest value? (a) -0.5 (b) -6 (c) v (d) 3\n | c\n | ibivibiv/math_instruct | |
b"What is the xth term of 65409, 130776, 196141, 261504, 326865, 392224?\n" | -x**2 + 65370*x + 40\n | ibivibiv/math_instruct | |
Two letters picked without replacement from uqou. Give prob of sequence uu.\n | 1/6\n | ibivibiv/math_instruct | |
Collect the terms in -81*b**3 - 83*b**3 + 320*b**3 - 53*b**3 - 68*b**3.\n | 35*b**3\n | ibivibiv/math_instruct | |
Let b(q) = -7*q**3 + 16*q**2 + 23*q + 2. Let k(s) = 3*s**3 - 8*s**2 - 11*s - 2. Let j(d) = -2*b(d) - 5*k(d). Give j(9).\n | 6\n | ibivibiv/math_instruct | |
What is 21 + (-27)/((-405)/(-105))?\n | 14\n | ibivibiv/math_instruct | |
What is the product of 10.0597 and 1.2?\n | 12.07164\n | ibivibiv/math_instruct | |
Does 7326 divide 1229406084?\n | False\n | ibivibiv/math_instruct | |
What is 3476.601 kilograms in milligrams?\n | 3476601000\n | ibivibiv/math_instruct | |
What is the ninth root of 606238322 to the nearest integer?\n | 9\n | ibivibiv/math_instruct | |
Let b(g) be the first derivative of -g**5/60 + g**4/8 - g**3/2 - 159*g**2/2 + 93. Let u(q) be the second derivative of b(q). Determine u(-3).\n | -21\n | ibivibiv/math_instruct | |
What is prob of picking 2 e when two letters picked without replacement from ehhehejjejjeejjeh?\n | 21/136\n | ibivibiv/math_instruct | |
What is thirteen quarters of a meter in centimeters?\n | 325\n | ibivibiv/math_instruct | |
What is nine sixteenths of a day in seconds?\n | 48600\n | ibivibiv/math_instruct | |
What is 566 divided by 3?\n | 566/3\n | ibivibiv/math_instruct | |
Four letters picked without replacement from {v: 7, o: 6}. What is prob of picking 4 v?\n | 7/143\n | ibivibiv/math_instruct | |
Suppose -2*b + 118 = -4*l, 3*b + l - 3*l - 165 = 0. Suppose x + 48 - b = 0. Solve -3*o + 4*y + x = -6*o, o - 2*y - 15 = 0 for o.\n | 5\n | ibivibiv/math_instruct | |
Let n(z) be the third derivative of z**2 - 1/3*z**3 + 0 + 0*z - 1/12*z**4. Let m = -2633327 + 2633323. Determine n(m).\n | 6\n | ibivibiv/math_instruct | |
What is the first derivative of -23*d**2*y**2 + 62*d**2*y - 298351*d**2 - 27*d*y**2 wrt y?\n | -46*d**2*y + 62*d**2 - 54*d*y\n | ibivibiv/math_instruct | |
Let h(t) = -t**3 - 18*t**2 - 18*t + 18. Let w be h(-17). Suppose -4*b - 7 + w = -4*c, 0 = b + 4*c - 32. Calculate the least common multiple of b and 1070.\n | 6420\n | ibivibiv/math_instruct | |
What is the biggest value in -0.5, 0.03, -9, 0.06?\n | 0.06\n | ibivibiv/math_instruct | |
Which is the closest to 2/3? (a) -0.1 (b) 8/15 (c) 3\n | b\n | ibivibiv/math_instruct | |
What is -1.820290794 rounded to 1 dp?\n | -1.8\n | ibivibiv/math_instruct | |
Let w = 24 + -19. Suppose 10 = -w*i - 20. Let v(r) = r**2 + 4*r - 10. Let k be v(i). Solve -k*d - 4*z = 22, z + 3*z + 17 = -d for d.\n | -5\n | ibivibiv/math_instruct | |
(-3 - -1)*(-117)/(-390)\n | -3/5\n | ibivibiv/math_instruct | |
Solve -88377*s - 4*p + 27 = -88378*s, 5*s - 2*p = -81 for s.\n | -15\n | ibivibiv/math_instruct | |
Let g = 5.4 - 5.6. Which is the second biggest value? (a) g (b) 3 (c) 10\n | b\n | ibivibiv/math_instruct | |
Write an educational piece suited for college students related to the following text snippet:
"The inverse of a CDF is called a Quantile function by the way, so Ill often refer to this as the Normal Quantile function. multivariate - plot normal distribution python How to specify upper and lower limits when using numpy.... | Let us begin by discussing some fundamental concepts related to probability theory and statistics that are prerequisites to understanding the given text snippet. These concepts include the cumulative distribution function (CDF), probability density function (PDF), quantiles, and the empirical CDF. We will then proceed... | ibivibiv/math_instruct | |
One of the activities in Grade 6 PE class is to get the average weight of the students from each group. In one of the groups, the average weight of five girls is 45 kg while the average weight of five boys is x kg. The average weight of the ten students from that group is 50. What is the value of unknown variable x? | To solve this problem, we need to determine the value of x, which represents the average weight of the five boys in the group.
Let's break down the information given:
Average weight of five girls: 45 kg
Average weight of five boys: x kg
Total number of students: 10
Average weight of the ten students: 50 kg
We can set u... | ibivibiv/math_instruct | |
What is the millions digit of 2980657?\n | 2\n | ibivibiv/math_instruct | |
Let k = -3 + 2.7. Let w = 0.5 + k. Which is the nearest to w? (a) -1/3 (b) -3 (c) 1\n | a\n | ibivibiv/math_instruct | |
Sort 1, 1217, 43, 3.\n | 1, 3, 43, 1217\n | ibivibiv/math_instruct | |
Which is bigger: 132 or 129?\n | 132\n | ibivibiv/math_instruct | |
What is prob of picking 3 w and 1 t when four letters picked without replacement from wtwtwtt?\n | 4/35\n | ibivibiv/math_instruct | |
How many minutes are there in seven sixths of a day?\n | 1680\n | ibivibiv/math_instruct | |
Calculate the greatest common divisor of 2862 and 606108.\n | 318\n | ibivibiv/math_instruct | |
What is the greatest common divisor of 2685 and 1752405?\n | 15\n | ibivibiv/math_instruct | |
Let s(l) = -l**3 + 11*l**2 - 12*l + 8. Give s(10).\n | -12\n | ibivibiv/math_instruct | |
Differentiate c**2 - 2857*c + 126415 with respect to c.\n | 2*c - 2857\n | ibivibiv/math_instruct | |
Let h = 15 - 15.33. Let o = h + 0.13. Let n = 2.96 - -0.04. Which is the smallest value? (a) -1 (b) n (c) o\n | a\n | ibivibiv/math_instruct | |
How many minutes are there between 6:54 AM and 9:46 AM?\n | 172\n | ibivibiv/math_instruct | |
Does 4 divide 2626749?\n | False\n | ibivibiv/math_instruct | |
Suppose -c + 352 = 349. Suppose 0 = 5*o + 5*r - r - 526, 103 = o + c*r. Is o prime?\n | False\n | ibivibiv/math_instruct |
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