instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
For a school fundraiser, Tory needs to sell 50 packs of cookies. So far, he has sold 12 packs to his grandmother, 7 packs to his uncle, and 5 packs to a neighbor. How many more packs of cookies does Tory need to sell? | Tory sold 12 packs + 7 packs = 19 packs to his family members.
Tory sold 19 packs + 5 packs = 24 packs in total
He has to sell 50 packs - 24 packs = 26 more packs of cookies to reach his target
The answer is 26 | ibivibiv/math_instruct | |
Simplify (((n**(-1/2)*n)/(n/(n**(1/16)/n)*n))/((n*n**8*n*n)/n**(-11)))**(-4) assuming n is positive.\n | n**(391/4)\n | ibivibiv/math_instruct | |
Rearrange 529 + i + 256 - 422 to r + o*i and give r.\n | 363\n | ibivibiv/math_instruct | |
Evaluate (168/63)/(((-38)/12)/19).\n | -16\n | ibivibiv/math_instruct | |
Suppose 26*t + 48 + 30 = 0. Is (-1)/((-1)/2728*2) + t a prime number?\n | True\n | ibivibiv/math_instruct | |
(14032196/(-366))/(-439)*(-6)/4\n | -131\n | ibivibiv/math_instruct | |
Put -22, -2820.72, 0, -2 in increasing order.\n | -2820.72, -22, -2, 0\n | ibivibiv/math_instruct | |
What is the derivative of 30*i**2*l + 86*i**2 wrt l?\n | 30*i**2\n | ibivibiv/math_instruct | |
Let w(y) = 2*y + 9. Let r be 0 + 1/(1/(-6)). Let i be w(r). Let a(c) = -c**2 + 2*c + 3. Let f(v) = -v**2 + 9*v + 5. Let m(j) = 3*a(j) - f(j). Determine m(i).\n | -5\n | ibivibiv/math_instruct | |
b"What is the rth term of -5196129, -5196136, -5196143?\n" | -7*r - 5196122\n | ibivibiv/math_instruct | |
Calculate the remainder when 170511 is divided by 2134.\n | 1925\n | ibivibiv/math_instruct | |
What is the result of the following expression?
-38.7312 / -20.6844 | 1.8725 | ibivibiv/math_instruct | |
In base 13, what is -2 - 2285?\n | -2287\n | ibivibiv/math_instruct | |
What is the value of 1/6*18/42*36/81?\n | 2/63\n | ibivibiv/math_instruct | |
Let b = -22 + 22. Suppose -y = b, 2*f = -3*f + 5*y + 10. Let d(w) = -2*w - 2. Let k be d(-2). Solve 5*q - f*m + 13 = 0, -q + 0*m - 5 = k*m for q.\n | -3\n | ibivibiv/math_instruct | |
Factor 75/2 + 1/6*z**3 + 19/6*z**2 - 47/2*z.\n | (z - 3)**2*(z + 25)/6\n | ibivibiv/math_instruct | |
Round 0.00005061675 to 5 dps.\n | 0.00005\n | ibivibiv/math_instruct | |
What is 1111 (base 3) in base 14?\n | 2c\n | ibivibiv/math_instruct | |
What is the units digit of 125240772?\n | 2\n | ibivibiv/math_instruct | |
What is -175 (base 12) in base 11?\n | -1a2\n | ibivibiv/math_instruct | |
Let j be 0 + (-2)/((-8)/12). Solve -j*y = -5*d + 9, -y - 12 = -2*d - 4*y for d.\n | 3\n | ibivibiv/math_instruct | |
Simplify (5 + sqrt(175)*-4 + -3 + -4 + sqrt(175) + ((0 + sqrt(175))*4 + sqrt(175) - sqrt(175)) + -5)**2.\n | -70*sqrt(7) + 224\n | ibivibiv/math_instruct | |
Collect the terms in -9*s**2 - 12915 + 121*s**2 + 54110.\n | 112*s**2 + 41195\n | ibivibiv/math_instruct | |
What is the value of -104 + (-18 - -38) + 10 + -19 + 2?\n | -91\n | ibivibiv/math_instruct | |
What is the third derivative of -159344960*m**3 - 635425079*m**2 wrt m?\n | -956069760\n | ibivibiv/math_instruct | |
Calculate 0.4*0.0171.\n | 0.00684\n | ibivibiv/math_instruct | |
Let c(d) = 16 + d + 9 + d**2 - 25. Let i(a) be the first derivative of 0*a - 4*a**2 - 2*a**3 - 2 + 1/2*a**4. Give -8*c(y) - i(y).\n | -2*y**3 - 2*y**2\n | ibivibiv/math_instruct | |
How many tonnes are there in 623.1905 kilograms?\n | 0.6231905\n | ibivibiv/math_instruct | |
Simplify ((q**14/q)/(q/(q**15/q)))/(q**14*q**8) assuming q is positive.\n | q**4\n | ibivibiv/math_instruct | |
(10/6)/(4*65/(-312))\n | -2\n | ibivibiv/math_instruct | |
What is fifty-three quarters of a hour in minutes?\n | 795\n | ibivibiv/math_instruct | |
Is 10 a factor of 5226320?\n | True\n | ibivibiv/math_instruct | |
Solve -7*x - 100 - 179 + 188 = 0 for x.\n | -13\n | ibivibiv/math_instruct | |
Write an educational piece suited for college students related to the following text snippet:
"# Kinematics of a particle¶
Marcos Duarte
Kinematics is the branch of classical mechanics that describes the motion of objects without consideration of the causes of motion (Wikipedia). Kinematics of a particle is the descr... | Kinematics is a fundamental branch of classical mechanics that deals with describing the motion of objects without considering the forces responsible for that motion. When the focus is solely on the movement of a single point, often referred to as a "particle," we refer to this subfield as the kinematics of a particle... | ibivibiv/math_instruct | |
Let t(b) = -2*b - 6*b**2 + 6*b**2 + 1 + 6*b**2 + 8*b**2. What is the tens digit of t(1)?\n | 1\n | ibivibiv/math_instruct | |
Solve h**4/2 - 4353*h**3 - 43580*h**2 = 0.\n | -10, 0, 8716\n | ibivibiv/math_instruct | |
Which is the third smallest value? (a) -3 (b) 2/117 (c) 0.5 (d) 0.1 (e) 0.32\n | d\n | ibivibiv/math_instruct | |
Solve 0 = -k - 2*t + 1, -21*k - 5*t = -24*k + 14 for k.\n | 3\n | ibivibiv/math_instruct | |
Let k(j) = -7*j**2 + 9 + 1 + 17*j + j**3 - 6*j**2. Let c be (-1)/6 - (-9)/(216/292). List the prime factors of k(c).\n | 2, 5, 7\n | ibivibiv/math_instruct | |
Solve -111*u - 35 = -3*a - 115*u, 0 = a + 4*u - 25 for a.\n | 5\n | ibivibiv/math_instruct | |
What is the square root of 10262 to the nearest integer?\n | 101\n | ibivibiv/math_instruct | |
Suppose -8 = -4*t + o - 3*o, -3*t + 3*o - 12 = 0. Let w be -1*(t - (-30 + 3)). Let k be (-102)/w + 6/27. Solve -k*h = -6 + 26 for h.\n | -5\n | ibivibiv/math_instruct | |
Convert 144044 (base 5) to base 4.\n | 1200011\n | ibivibiv/math_instruct | |
What is the square root of 147473 to the nearest integer?\n | 384\n | ibivibiv/math_instruct | |
What is prob of picking 2 i, 1 r, and 1 w when four letters picked without replacement from {i: 3, r: 4, w: 5}?\n | 4/33\n | ibivibiv/math_instruct | |
Suppose 4 = d + 2*g + 3, -4*d = -5*g - 17. Suppose 6*k = d*k + 2877. Is k a composite number?\n | True\n | ibivibiv/math_instruct | |
Calculate the greatest common factor of 506999356 and 568.\n | 284\n | ibivibiv/math_instruct | |
(-3969)/(-76440) + 6/(-78)\n | -1/40\n | ibivibiv/math_instruct | |
Let u = 10 - 19. Let b = -14 + u. Let m = 49 + b. What are the prime factors of m?\n | 2, 13\n | ibivibiv/math_instruct | |
What is the least common multiple of 37 and 10?\n | 370\n | ibivibiv/math_instruct | |
What is 0.447393317 rounded to 3 dps?\n | 0.447\n | ibivibiv/math_instruct | |
What is prob of sequence wwcf when four letters picked without replacement from {c: 4, w: 6, f: 1}?\n | 1/66\n | ibivibiv/math_instruct | |
Is 752 a factor of 101369600?\n | True\n | ibivibiv/math_instruct | |
Work out 21 * 11.\n | 231\n | ibivibiv/math_instruct | |
Which is the closest to 3/2? (a) -38 (b) -2/9 (c) 5\n | b\n | ibivibiv/math_instruct | |
Let o be -1 - (-3 - (-4617)/(-840)). Let b = 22/35 + o. Calculate the common denominator of 75/22 and b.\n | 88\n | ibivibiv/math_instruct | |
Suppose -7*i + 1805 = -3649 - 34614. Is i a multiple of 72?\n | False\n | ibivibiv/math_instruct | |
Collect the terms in 3 - 2 - 197*r - 4 + 1.\n | -197*r - 2\n | ibivibiv/math_instruct | |
Solve -3*j + 31344 = -4*q + 31396, 17*q = 3*j + 182 for q.\n | 10\n | ibivibiv/math_instruct | |
Mark just got a new puppy that cost $150. He also bought enough food for 6 weeks. He knows the puppy eats 1/3 cup of food a day. A bag of food with 3.5 cups costs $2. Additionally, Mark purchased a leash for $15, a collar for $12, and a dog bed for $25. There's a 10% discount on the collar, and a buy one, get one free ... | Let's calculate the cost of each item, including discounts and tax where applicable.
1. Puppy: $150 (no discount or tax on live animals)
2. Puppy food:
- The puppy eats 1/3 cup of food a day, so for 6 weeks (42 days), it will eat 42 * (1/3) = 14 cups of food.
- Each bag contains 3.5 cups, so Mark will need 14 / ... | ibivibiv/math_instruct | |
Let n(p) = -p**2 + 2. Let k be n(0). Let l(z) = -38 + 37 + z + 0*z. What is l(k)?\n | 1\n | ibivibiv/math_instruct | |
Write an educational piece suited for college students related to the following text snippet:
"View Single Post
#2
07-06-2013, 09:30 AM
yaser Caltech Join Date: Aug 2009 Location: Pasadena, California, USA Posts: 1,478
Re: Hoeffding's Inequality vs. binomial distribution
Quote:
Originally Posted by BojanVujatovic Co... | Let's delve into the topic of concentration inequalities, focusing on Hoeffding's inequality and another bound based on the binomial distribution. Our discussion will revolve around Yaser's post on the forum, where he compares these two bounds and their applications. We aim to provide clarity on the concept while main... | ibivibiv/math_instruct | |
Let w be 2159/(-762) - (-2)/3*2. Which is the fifth smallest value? (a) 0.1 (b) -5 (c) 0.2 (d) -39 (e) w\n | c\n | ibivibiv/math_instruct | |
Suppose 4*d + 109 = 113. Calculate the smallest common multiple of d and 2.\n | 2\n | ibivibiv/math_instruct | |
Let j(f) be the third derivative of f**5/60 - f**4/24 - f**3/6 + 239*f**2. Calculate j(4).\n | 11\n | ibivibiv/math_instruct | |
What is the least common multiple of 37264 and 1?\n | 37264\n | ibivibiv/math_instruct | |
Calculate the common denominator of -79/50 and -137/2242476.\n | 56061900\n | ibivibiv/math_instruct | |
Let g(c) = c**3 - 6*c**2 + c - 8. Let n be g(6). Let b be (-1)/n*(-1 + 1). Does 11 divide 1*(b - (-8 - 3))?\n | True\n | ibivibiv/math_instruct | |
Let x(p) = 2*p - 6. Let z be x(4). Suppose -1 = o - z. Solve c - o = -0 for c.\n | 1\n | ibivibiv/math_instruct | |
What is next in -37954, -37895, -37760, -37507, -37094, -36479?\n | -35620\n | ibivibiv/math_instruct | |
Let q be (-1)/((-1)/2) - 1. Let p(z) = 3*z - 4. Let b(o) = 2144*o - 2143*o - 1 + 0. Let k(i) = q*p(i) - 4*b(i). Let c(a) = -2*a**2. Calculate k(c(w)).\n | 2*w**2\n | ibivibiv/math_instruct | |
7 - (11 - (10 + 1))\n | 7\n | ibivibiv/math_instruct | |
Suppose 2*z - 17 = -3. Suppose 2*v + 15 = z*v. Let l be (-1 - -3) + v + -2. Solve -7*n + l*n = 5*i + 36, -4*i - 5*n - 36 = 0 for i.\n | -4\n | ibivibiv/math_instruct | |
Let i(q) = -q**3 - 12*q**2 + 3*q + 15. Determine i(-12).\n | -21\n | ibivibiv/math_instruct | |
Simplify (((sqrt(190) - sqrt(190)*-3)*6)/sqrt(10) - ((-1*sqrt(228) - sqrt(228))*6 - sqrt(228))/sqrt(12))**2.\n | 26011\n | ibivibiv/math_instruct | |
Evaluate ((48/30)/(-2))/((-2)/10).\n | 4\n | ibivibiv/math_instruct | |
Let u(y) be the third derivative of y**6/360 - y**5/40 + y**3/6 + 5*y**2. Let l(f) be the first derivative of u(f). Factor l(c).\n | c*(c - 3)\n | ibivibiv/math_instruct | |
Let y = 41 - 40.964. Let b = 0.036 - y. Let i = -0.5 + 1. Sort b, -0.5, i in decreasing order.\n | i, b, -0.5\n | ibivibiv/math_instruct | |
Express (n + 2*n - 7*n)*(6 - 4 - 1) + (4 - 4 - n)*(-5 + 4 + 2) in the form g*n + q and give g.\n | -5\n | ibivibiv/math_instruct | |
Let p(f) = f**3 + f**2 - 12*f + 23. What is p(3)?\n | 23\n | ibivibiv/math_instruct | |
Does 93 = 91?\n | False\n | ibivibiv/math_instruct | |
Simplify (-5*sqrt(14)*-2)/(4*(sqrt(2) - (sqrt(2) + sqrt(8)) - sqrt(2))).\n | -5*sqrt(7)/6\n | ibivibiv/math_instruct | |
Let u = -17.91 - -17. Let v = 0.09 - u. Let a = -1.0014 + v. Round a to four dps.\n | -0.0014\n | ibivibiv/math_instruct | |
258c22 (base 13) to base 15\n | 12d24d\n | ibivibiv/math_instruct | |
What is the units digit of 1579?\n | 9\n | ibivibiv/math_instruct | |
Solve -88359*n + 5550 = -88470*n for n.\n | -50\n | ibivibiv/math_instruct | |
What is the result of the following expression?
-95.9531 + 84.4156 | -11.5375 | ibivibiv/math_instruct | |
What is -6523.32143 less than 430?\n | 6953.32143\n | ibivibiv/math_instruct | |
Convert 998554.1 seconds to milliseconds.\n | 998554100\n | ibivibiv/math_instruct | |
What is 661 minutes after 9:26 AM?\n | 8:27 PM\n | ibivibiv/math_instruct | |
Let x = -314 + 516. List the prime factors of x.\n | 2, 101\n | ibivibiv/math_instruct | |
Simplify ((q*q**6)/q**(-2/3)*q**(-1/5)*q/q**(-6))/((q/(q**(-1/3)*q))**(-43/5)*(q/(q/(q/((q*q**(1/4))/q))))**(-41)) assuming q is positive.\n | q**(577/12)\n | ibivibiv/math_instruct | |
Let v = -0.01 - -7.01. Let b = 133.3 - 140. Let z = v + b. Sort -3/5, z, 0.2 in increasing order.\n | -3/5, 0.2, z\n | ibivibiv/math_instruct | |
Collect the terms in 2*x**2 + 0*x**2 - 5*x**2 + 2*x**2.\n | -x**2\n | ibivibiv/math_instruct | |
Simplify 4*((-4 + (sqrt(245) + 0 + sqrt(245) - sqrt(245))**2 - sqrt(245) - (-4*(sqrt(245)*1 + sqrt(245)))**2) + -3).\n | -61768 - 28*sqrt(5)\n | ibivibiv/math_instruct | |
Differentiate -2*h**2*j*u - 94*h*j**2 + 2*h*j*u**2 + 2*j**2*u + 7*u**2 with respect to h.\n | -4*h*j*u - 94*j**2 + 2*j*u**2\n | ibivibiv/math_instruct | |
What is -1 divided by 47?\n | -1/47\n | ibivibiv/math_instruct | |
Let p(s) = -7*s**3 - 8*s**2 - 10*s + 2. Let y(v) = -6*v**3 - 6*v**2 - 8*v + 2. Let t(g) = 5*p(g) - 6*y(g). What is t(3)?\n | -17\n | ibivibiv/math_instruct | |
Let j = 13 + -6. Suppose -13 = -s - n, j*s - 4*n = 2*s + 47. List the prime factors of s.\n | 11\n | ibivibiv/math_instruct | |
Let c = -6 + 8. Solve -c*y + y = 4 for y.\n | -4\n | ibivibiv/math_instruct |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.