instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Let s be ((-24)/(-15))/(2/10). Suppose -4*w + 0 = -s. Solve 0 = -w*m - 2*m - 8 for m.\n | -2\n | ibivibiv/math_instruct | |
What is the units digit of 1236?\n | 6\n | ibivibiv/math_instruct | |
b"What is the vth term of 678135, 678163, 678199, 678243, 678295, 678355?\n" | 4*v**2 + 16*v + 678115\n | ibivibiv/math_instruct | |
Multiply -2 and -2.384.\n | 4.768\n | ibivibiv/math_instruct | |
Put -5, -369, 2 in descending order.\n | 2, -5, -369\n | ibivibiv/math_instruct | |
Calculate ((-55)/(-33))/(2/(-6)).\n | -5\n | ibivibiv/math_instruct | |
Solve -j - 4*y - 638 = -646, 0 = 4*y - 8 for j.\n | 0\n | ibivibiv/math_instruct | |
Rearrange (0*b + b - 2 + 0*b)*(4*b**2 - 2*b + 2*b) to the form g*b**2 + u*b + r + s*b**3 and give s.\n | 4\n | ibivibiv/math_instruct | |
Simplify ((i**(2/7)/i)**(-1/49)/(i/i**0)**0)/(((i/i**(-4))/(i/(i**(-5/4)/i)))/(i**(2/3)*i)**(-50)) assuming i is positive.\n | i**(-350143/4116)\n | ibivibiv/math_instruct | |
Work out 0 * -149.\n | 0\n | ibivibiv/math_instruct | |
Sam is serving spaghetti and meatballs for dinner. The pasta costs $1.00 per box, a jar of sauce is $2.00 and 1 pound of meatballs is $5.00. He wants to stretch this meal into 8 servings. How much does each serving cost? | To calculate the cost per serving, we first need to determine the total cost of the ingredients:
- Pasta: $1.00 per box
- Sauce: $2.00 per jar
- Meatballs: $5.00 per pound
Total cost = Cost of pasta + Cost of sauce + Cost of meatballs
Total cost = $1.00 + $2.00 + $5.00
Total cost = $8.00
Now, we divide the total cos... | ibivibiv/math_instruct | |
Let r(l) = 6*l**2 + 2*l - 1. Let f = 0 + 145. Let s = -144 + f. Give r(s).\n | 7\n | ibivibiv/math_instruct | |
Solve 4*r = -0*z - 3*z + 18, -4*z = -5*r + 7 for r.\n | 3\n | ibivibiv/math_instruct | |
Let l = 151 - 149. Suppose 3*u - 2*u + l = 0, 4*g - u = 2. Put 4, g, -4, 1 in ascending order.\n | -4, g, 1, 4\n | ibivibiv/math_instruct | |
Let r be (1 - (-3)/(-1))/(-1). Let a(w) = -2*w + w + w + r*w**2. Let q(z) = 145869 - 145869 - 11*z. Give q(a(j)).\n | -22*j**2\n | ibivibiv/math_instruct | |
Solve 0 = 5*h + 2*a + 51, 71 = 5122*h - 5124*h - 3*a for h.\n | -1\n | ibivibiv/math_instruct | |
Let h = 6 - 6.44. Let a = h + -2.04. Let p = a - -0.08. What is p rounded to 0 dps?\n | -2\n | ibivibiv/math_instruct | |
Simplify (u*u**9)**(-1/11)*(u/(u**(-2/57)/u))/(u/u**34*u) assuming u is positive.\n | u**(20770/627)\n | ibivibiv/math_instruct | |
Which is the second smallest value? (a) -1 (b) 63009 (c) -45 (d) 4\n | a\n | ibivibiv/math_instruct | |
Let y(d) = d**3 + 13*d**2 + d + 1. Let t(z) = 5*z**3 + 54*z**2 + 5*z + 6. Let u(j) = -2*t(j) + 9*y(j). What is u(9)?\n | -12\n | ibivibiv/math_instruct | |
What is 631 minutes after 11:35 PM?\n | 10:06 AM\n | ibivibiv/math_instruct | |
Let w(v) = -v**2 + 31*v - 223. What is w(19)?\n | 5\n | ibivibiv/math_instruct | |
Calculate prob of sequence zoz when three letters picked without replacement from lkloyzkskyklkyk.\n | 0\n | ibivibiv/math_instruct | |
Let x be (-2)/8 - 73/(-4). Suppose r - 16 = -3*r. Suppose -i + x = a + 1, r*a = -i + 56. Calculate the remainder when 38 is divided by a.\n | 12\n | ibivibiv/math_instruct | |
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"# Math Help - Sum of oscillating sequences
1. ## Sum of oscillating sequences
Find two oscillating sequences such that the sum of those two sequences diverges to infinity or to minus infinity, if possible. I have been unabl... | In mathematics, an oscillating sequence is a type of sequence where the terms alternate between positive and negative values. A simple example of this would be the sequence (-1)^n, which takes the value -1 for even indices and 1 for odd indices. An oscillating sequence may or may not have a finite limit as n approache... | ibivibiv/math_instruct | |
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"## Question
Just because a manifold is topologically non-trivial doesn't necessarily mean it cant be covered by a single chart. In contrast to the circle S1, show that the infinite cylinder R × S1 can be covered by just one ... | A manifold is a topological space that resembles Euclidean space near each point. More precisely, each point of an n-dimensional manifold has a neighborhood that is homeomorphic to the Euclidean space of dimension n. Manifolds are fundamental objects of study in differential geometry and topology. They can be thought ... | ibivibiv/math_instruct | |
What is the sixth biggest value in 1857, 30.3, 5, 0.6, -2, -0.5?\n | -2\n | ibivibiv/math_instruct | |
Let m(x) = -149*x + 3738. What is m(25)?\n | 13\n | ibivibiv/math_instruct | |
Multiply 14.15 and 62.\n | 877.3\n | ibivibiv/math_instruct | |
How many minutes are there between 4:39 AM and 4:28 PM?\n | 709\n | ibivibiv/math_instruct | |
Suppose -12*i + 5*g = -13*i + 8211, 2*g = -8. List the prime factors of i.\n | 8231\n | ibivibiv/math_instruct | |
What is the next term in -81821, -163642, -245467, -327296, -409129, -490966?\n | -572807\n | ibivibiv/math_instruct | |
Find the first derivative of 4*b*c*p**3 - b*c*p + 4*b*p**3 - 15*b*p + 31*c*p**3 - 4*c*p**2 + c*p + 2*c + 4*p**2 wrt b.\n | 4*c*p**3 - c*p + 4*p**3 - 15*p\n | ibivibiv/math_instruct | |
Suppose 0 = 4*m - 15291 - 12643 + 534. What is the hundreds digit of m?\n | 8\n | ibivibiv/math_instruct | |
Is 188976 a multiple of 24?\n | True\n | ibivibiv/math_instruct | |
Simplify (i*i**(-5/2))/((i/i**(-3)*i)/i)*((i/(i/(i**5*i)))/i)/i**16 assuming i is positive.\n | i**(-33/2)\n | ibivibiv/math_instruct | |
Three letters picked without replacement from bxxbxpbppxxxpxppxxb. What is prob of picking 3 p?\n | 20/969\n | ibivibiv/math_instruct | |
What is 20181056 to the power of 1/8, to the nearest integer?\n | 8\n | ibivibiv/math_instruct | |
b"What is the jth term of 18, 65, 154, 297, 506?\n" | 2*j**3 + 9*j**2 + 6*j + 1\n | ibivibiv/math_instruct | |
Let 3*w**4 + 13038*w**3 - 327321*w**2 + 2202552*w - 1888272 = 0. What is w?\n | -4371, 1, 12\n | ibivibiv/math_instruct | |
Simplify (((a*a*a**(2/7)*a**(-3/4)*a)/(a*a**(-1)*a)**(-1/74))**(-15))**(-2/11) assuming a is positive.\n | a**(39615/5698)\n | ibivibiv/math_instruct | |
Suppose 157 = 4*r - 47. Suppose 4*q - s + r = 0, -q - 11 - 6 = 4*s. Let w = q + 33. Calculate the smallest common multiple of 20 and w.\n | 20\n | ibivibiv/math_instruct | |
Suppose 0 = -4*p - 4*r + 3560, 2*p + 336*r = 332*r + 1774. Does 5 divide p?\n | False\n | ibivibiv/math_instruct | |
What comes next: 39, 55, 71?\n | 87\n | ibivibiv/math_instruct | |
What is 860845 to the power of 1/2, to the nearest integer?\n | 928\n | ibivibiv/math_instruct | |
Solve 2*g - f = -8, -g - 4*f - 169 = -156 for g.\n | -5\n | ibivibiv/math_instruct | |
Let k(c) = -c**2 - 7*c + 2. Let l(f) = -f**2 - 6*f + 1. Let v(n) = -2*k(n) + 3*l(n). Suppose 37*d = 8*d - 116. What is v(d)?\n | -1\n | ibivibiv/math_instruct | |
Let z = -77 - -81. Suppose 0 = 2*g + 34*q - 31*q - 19, -3*g = -z*q + 14. Solve 2*v + 6 = -g*w, 0 = -0*v + 2*v + 5*w for v.\n | -5\n | ibivibiv/math_instruct | |
Suppose -798 + 10271 = -39*m - 9325. Is -483 less than m?\n | True\n | ibivibiv/math_instruct | |
Sort 1, 5, -10, -2, 26102 in ascending order.\n | -10, -2, 1, 5, 26102\n | ibivibiv/math_instruct | |
Let b(y) = -2*y**3 - 7*y - 7. Let h(i) = 5*i**3 + 4*i**2 + 2*i - 2. Let t(j) = 4*j**3 + 3*j**2 + 2*j - 1. Let a(v) = 3*h(v) - 4*t(v). Calculate 7*a(w) - 2*b(w).\n | -3*w**3\n | ibivibiv/math_instruct | |
-3+-14.244758\n | -17.244758\n | ibivibiv/math_instruct | |
In base 16, what is -5 - -4?\n | -1\n | ibivibiv/math_instruct | |
Rearrange (6*s + 7*s - 9*s)*(2 - 2 - s**2) - s**3 - 2*s**3 + s**3 + (s + 0 + 0)*(2*s**2 - 2*s**2 - s**2) to the form d*s**2 + g*s**3 + f*s + k and give g.\n | -7\n | ibivibiv/math_instruct | |
Suppose -3*t + 147 = 5*h, 4*t - 295 + 64 = 5*h. Let o be (-2 + 0 + 1)*-157. Suppose -t = n - o. What is the hundreds digit of n?\n | 1\n | ibivibiv/math_instruct | |
How many months are there in 7190.679 decades?\n | 862881.48\n | ibivibiv/math_instruct | |
What is next in -174538, -174499, -174460, -174421, -174382?\n | -174343\n | ibivibiv/math_instruct | |
Find the first derivative of -333 + 49*v + 15*v + 383 wrt v.\n | 64\n | ibivibiv/math_instruct | |
A student has to obtain 33% of the total marks to pass. He got some marks and failed by 40 marks. The maximum marks are 500. How many marks did he get? | Let's denote the marks the student got as "x."
To pass the exam, the student needs to obtain 33% of the total marks. Since the maximum marks are 500, the passing marks would be:
33% of 500 = (33/100) * 500 = 165 marks
The student failed by 40 marks, which means he got 40 marks less than the passing marks. Therefore,... | ibivibiv/math_instruct | |
22c81 (base 15) to base 6\n | 2213021\n | ibivibiv/math_instruct | |
Let a = -412 - -423. What is the smallest common multiple of a and 43?\n | 473\n | ibivibiv/math_instruct | |
Let a(c) = c**2 - 16*c + 20. Let b be a(15). Solve 5*m - 2*d = 28 + 7, -5*d - b = 4*m for m.\n | 5\n | ibivibiv/math_instruct | |
What is the ten thousands digit of 210160?\n | 1\n | ibivibiv/math_instruct | |
Solve -3993 = 691*k - 62037 for k.\n | 84\n | ibivibiv/math_instruct | |
Is 152954119 composite?\n | False\n | ibivibiv/math_instruct | |
What is the eighth root of 9650929 to the nearest integer?\n | 7\n | ibivibiv/math_instruct | |
Suppose 5*v = 12 + 3. Suppose k + 6 = y - 2, 21 = 3*y - 4*k. What is the third derivative of 15*u**5 + y*u**2 - v*u**5 + 2*u**3 - 2*u**3 wrt u?\n | 720*u**2\n | ibivibiv/math_instruct | |
What is the greatest common divisor of 7317 and 20331504?\n | 2439\n | ibivibiv/math_instruct | |
Is 71185257497 a composite number?\n | False\n | ibivibiv/math_instruct | |
What is next in 19223, 19239, 19281, 19361, 19491, 19683?\n | 19949\n | ibivibiv/math_instruct | |
In base 8, what is 444 - -464?\n | 1130\n | ibivibiv/math_instruct | |
What is the tens digit of 1374011?\n | 1\n | ibivibiv/math_instruct | |
What is the square root of 1840968 to the nearest integer?\n | 1357\n | ibivibiv/math_instruct | |
Let c(p) = 3529*p + 1312597. Give c(-372).\n | -191\n | ibivibiv/math_instruct | |
Is 192312689 prime?\n | True\n | ibivibiv/math_instruct | |
Let d(l) = 2947*l + 1178845. What is d(-400)?\n | 45\n | ibivibiv/math_instruct | |
Solve 4*h + 64*h - 10*h = -870 for h.\n | -15\n | ibivibiv/math_instruct | |
Suppose 12*u - 45 = 3*u. Suppose -3*p + 3*x + 20 = 131, -u*x = -p - 41. Calculate the remainder when 69/4 - (-2 - p/16) is divided by 9.\n | 8\n | ibivibiv/math_instruct | |
Let p = 0 - 1. Let y = -0.8 + 0.8. Which is the smallest value? (a) y (b) 4/3 (c) p\n | c\n | ibivibiv/math_instruct | |
Let v(t) be the third derivative of t**8/1008 + 8*t**7/315 + 59*t**6/360 + 11*t**5/45 - 1340*t**2. Let v(o) = 0. Calculate o.\n | -11, -4, -1, 0\n | ibivibiv/math_instruct | |
Collect the terms in 201*m - 93*m + 0*m**2 - 108*m - m**2.\n | -m**2\n | ibivibiv/math_instruct | |
What is 29.941995 months in centuries?\n | 0.0249516625\n | ibivibiv/math_instruct | |
What is the tens digit of 679?\n | 7\n | ibivibiv/math_instruct | |
Factor z**3/6 + 92615*z**2/3 + 4288861726*z/3 + 8577352996/3.\n | (z + 2)*(z + 92614)**2/6\n | ibivibiv/math_instruct | |
Express 410*r - 287*r + 808*r in the form t + c*r and give c.\n | 931\n | ibivibiv/math_instruct | |
What comes next: -122779, -491051, -1104837, -1964137, -3068951, -4419279?\n | -6015121\n | ibivibiv/math_instruct | |
Let v(f) be the first derivative of 1/4*f**2 + 3 + 1/4*f + 1/12*f**3. Factor v(c).\n | (c + 1)**2/4\n | ibivibiv/math_instruct | |
Convert 10211002021 (base 3) to base 2.\n | 10010010110001100\n | ibivibiv/math_instruct | |
Solve -36*s**4 + 120*s**3 - 16*s**2 - 56*s - 12 = 0 for s.\n | -1/3, 1, 3\n | ibivibiv/math_instruct | |
Calculate the highest common factor of 13 and 8070842.\n | 13\n | ibivibiv/math_instruct | |
Put 2/15, -1/4, -3/2 in increasing order.\n | -3/2, -1/4, 2/15\n | ibivibiv/math_instruct | |
Round -0.000063268 to four dps.\n | -0.0001\n | ibivibiv/math_instruct | |
b"What is the zth term of 1071, 2129, 3181, 4227, 5267, 6301, 7329?\n" | -3*z**2 + 1067*z + 7\n | ibivibiv/math_instruct | |
Solve 8*g - 155 = i - 6*i, -7*i = -122*g + 117*g + 107 for i.\n | -1\n | ibivibiv/math_instruct | |
Let s = -296 - -1484/5. Which is smaller: s or 0.07?\n | 0.07\n | ibivibiv/math_instruct | |
What is the derivative of -a**2*k + a**2 - 10359*a - 851*k - 1 wrt a?\n | -2*a*k + 2*a - 10359\n | ibivibiv/math_instruct | |
Evaluate 50/45*-11 + (-8)/(-36).\n | -12\n | ibivibiv/math_instruct | |
Let u be 4/(-6) - 13/3. Let m(s) = -3*s + 5. Let p(l) = 2*l - 4. Let g(q) = u*p(q) - 4*m(q). Let d(n) be the first derivative of -n**2/2 + 2. Determine g(d(h)).\n | -2*h\n | ibivibiv/math_instruct | |
Expand (4 + 0 - 5)*(-3*f**2 - 6 + 6).\n | 3*f**2\n | ibivibiv/math_instruct | |
Divide -43660755 by -1.\n | 43660755\n | ibivibiv/math_instruct |
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