instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
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|---|---|---|---|
Let c(d) = -d + 29. Let s be c(-8). Differentiate 35*x - s*x + 121 + 93*x + 43*x wrt x.\n | 134\n | ibivibiv/math_instruct | |
4 + 1 + (-2 - -1) - (-36 + 32)\n | 8\n | ibivibiv/math_instruct | |
What is 0/(-3) + (4 + 0 - 1)?\n | 3\n | ibivibiv/math_instruct | |
Calculate the highest common divisor of 1240966 and 19.\n | 19\n | ibivibiv/math_instruct | |
Is 2/3973 less than or equal to 1?\n | True\n | ibivibiv/math_instruct | |
Suppose -o = -3*o - g + 8, 18 = 5*o + 2*g. Put -2, o, -1 in decreasing order.\n | o, -1, -2\n | ibivibiv/math_instruct | |
Let h = -26 - -22. Let b be 1/11*(0 - 2). What is the smallest value in -0.5, b, h?\n | h\n | ibivibiv/math_instruct | |
Let t be (-3 - -2)/(((-8)/(-22))/(-4)). Suppose t*n - 16*n = -15. Suppose 2*m + n - 281 = 0. List the prime factors of m.\n | 139\n | ibivibiv/math_instruct | |
Let k be (-2)/(-6)*(1 - -2). Let f = 1 + k. Factor h**3 - 6*h - 98*h**5 - 140*h**4 + 5*h**3 - 2*h + 40*h**f.\n | -2*h*(h + 1)**2*(7*h - 2)**2\n | ibivibiv/math_instruct | |
What is the third derivative of -915892*a**3 - 114*a**2 - 284*a + 2 wrt a?\n | -5495352\n | ibivibiv/math_instruct | |
What is the highest common divisor of 154 and 84?\n | 14\n | ibivibiv/math_instruct | |
Calculate -8065 divided by 1613.\n | -5\n | ibivibiv/math_instruct | |
Suppose -3*z = -8*z + 290. Suppose z = -3*y + 16. Let j = -10 - y. Solve -j*w - w = -25 for w.\n | 5\n | ibivibiv/math_instruct | |
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Difficulty Level: At Grade Created by: CK-12
## Learning objectives
• Learn how to solve a... | The world of mathematics, particularly algebra, introduces us to various function types, including quadratic functions. These functions play a significant role in many fields, such as physics, engineering, computer science, economics, and more. Let's dive deep into quadratic functions, focusing on their standard form ... | ibivibiv/math_instruct | |
Suppose 17*m - 44 = 24. What is the fourth smallest value in -1/5, -6, 0, m?\n | m\n | ibivibiv/math_instruct | |
What is the second derivative of 277828596*a**2*q + 2*a**2 - 3979475*a*q + a wrt a?\n | 555657192*q + 4\n | ibivibiv/math_instruct | |
What is -128 times -3.2?\n | 409.6\n | ibivibiv/math_instruct | |
Let b = -487 - -493. Let u(h) = -6*h + 0*h + b*h + 5*h - 3*h. Let v(l) be the second derivative of l**3/2 - 2*l. Give v(u(j)).\n | 6*j\n | ibivibiv/math_instruct | |
List the prime factors of 560108967.\n | 3, 11, 193, 87943\n | ibivibiv/math_instruct | |
In base 16, what is 120425 + -3?\n | 120422\n | ibivibiv/math_instruct | |
What is -1.7 take away 2682?\n | -2683.7\n | ibivibiv/math_instruct | |
What is the square root of 1397236 to the nearest integer?\n | 1182\n | ibivibiv/math_instruct | |
Solve -23 = -5*t - 3*i, -208*i = 5*t - 203*i - 25 for t.\n | 4\n | ibivibiv/math_instruct | |
What are the prime factors of 487236?\n | 2, 3, 19, 2137\n | ibivibiv/math_instruct | |
Let h(u) = u**2 + 20*u - 44. What is h(-23)?\n | 25\n | ibivibiv/math_instruct | |
Let p be 1443/(-3256) + 1/(11/(-2)). What is the third smallest value in -4, 3/2, 4, p?\n | 3/2\n | ibivibiv/math_instruct | |
Does 13 divide 6862?\n | False\n | ibivibiv/math_instruct | |
Let b = 2857/840 - 61/84. Find the common denominator of 2/5 and b.\n | 40\n | ibivibiv/math_instruct | |
Expand -1294037*f - 1416*f**4 + 1294037*f + (0*f - 4*f + 2*f)*(2*f**3 - 2 + 2).\n | -1420*f**4\n | ibivibiv/math_instruct | |
Two letters picked without replacement from ssydeedsesqeeesedye. What is prob of picking 1 q and 1 y?\n | 2/171\n | ibivibiv/math_instruct | |
Round -6299.71 to the nearest one thousand.\n | -6000\n | ibivibiv/math_instruct | |
What is one twentieth of a gram in milligrams?\n | 50\n | ibivibiv/math_instruct | |
Simplify j*j**10/j*j/((j*(j*j/(j/j**(-1/8)))/j)/j)*j**(3/8)/(j*j**(-8)) assuming j is positive.\n | j**(37/2)\n | ibivibiv/math_instruct | |
-223 divided by 4\n | -223/4\n | ibivibiv/math_instruct | |
Let g = 2 + -23. Let n = 35 + g. Is n a composite number?\n | True\n | ibivibiv/math_instruct | |
Solve 0 = 5*f + 4*h + 1 - 5, 3*h = -12 for f.\n | 4\n | ibivibiv/math_instruct | |
Rearrange m - 8*m + 13*m + 52*m - 7*m to the form w + c*m and give c.\n | 51\n | ibivibiv/math_instruct | |
Find the second derivative of 2*b + b + b - 6*b - 13*b**2 wrt b.\n | -26\n | ibivibiv/math_instruct | |
Let k be (-337 + -1)/(-2) - (272 - 268). Calculate the greatest common factor of k and 35.\n | 5\n | ibivibiv/math_instruct | |
What is -1.6403 less than 0.4?\n | 2.0403\n | ibivibiv/math_instruct | |
Put -21, -1, 0, -75, 6, -2, 75 in decreasing order.\n | 75, 6, 0, -1, -2, -21, -75\n | ibivibiv/math_instruct | |
Calculate -0.603 - 0.3.\n | -0.903\n | ibivibiv/math_instruct | |
What are the prime factors of 931693771?\n | 43, 21667297\n | ibivibiv/math_instruct | |
Let f(b) be the first derivative of -b**6/2 + 51*b**5/5 - 81*b**4/4 - 49*b**3 + 84*b**2 + 180*b + 813. What is o in f(o) = 0?\n | -1, 2, 15\n | ibivibiv/math_instruct | |
Collect the terms in 116*a - 59*a + 187*a.\n | 244*a\n | ibivibiv/math_instruct | |
Solve 0 = -v + 11 - 9 for v.\n | 2\n | ibivibiv/math_instruct | |
Suppose 2*f = 2*w + 1360, 0 = f + 2*f - 4*w - 2036. Is (6 - 3) + f - 2 a prime number?\n | False\n | ibivibiv/math_instruct | |
Solve 73*m + 16 - 56 = 75 + 31 for m.\n | 2\n | ibivibiv/math_instruct | |
Two letters picked without replacement from {z: 1, l: 2, j: 1, w: 1, m: 2}. Give prob of picking 1 m and 1 j.\n | 2/21\n | ibivibiv/math_instruct | |
Let k be (4 - -1)*4/(-5). Let n be -92 + 4/k + -3. Let a = 145 + n. What is the tens digit of a?\n | 4\n | ibivibiv/math_instruct | |
Find the first derivative of -c*k**3 + 115*c*k**2 - 14*k**3 wrt c.\n | -k**3 + 115*k**2\n | ibivibiv/math_instruct | |
Let w = 109 + -105. Find the second derivative of 112*o**w + 14*o + 2 + 2*o - 196*o**4 wrt o.\n | -1008*o**2\n | ibivibiv/math_instruct | |
Does 63 divide 844109/70 + 48/160?\n | False\n | ibivibiv/math_instruct | |
Suppose 30*u = 26*u + 16. Suppose -u*x + 5*c - 5 = 0, -c + 1 = -5*x + 4*x. Let x - 5/2*g + 1/2*g**2 = 0. What is g?\n | 0, 5\n | ibivibiv/math_instruct | |
How many minutes are there between 2:08 PM and 2:28 PM?\n | 20\n | ibivibiv/math_instruct | |
Which is the closest to -2/47? (a) -4/9 (b) 3.1 (c) -2\n | a\n | ibivibiv/math_instruct | |
Suppose 7*g - 70 = 5*g. Suppose -4*a - 63 = j, -g - 58 = 4*a - 5*j. Let t = 56 + a. Is t prime?\n | False\n | ibivibiv/math_instruct | |
What is the biggest value in -101, 1, -1/5?\n | 1\n | ibivibiv/math_instruct | |
What is the closest to -1 in -4, -1697/5, -3, -0.5, -20, 0.1?\n | -0.5\n | ibivibiv/math_instruct | |
Calculate -4 - (-56 - (-7 + 7 + -13)) - -5.\n | 44\n | ibivibiv/math_instruct | |
In base 12, what is -3 + -7465?\n | -7468\n | ibivibiv/math_instruct | |
What is ((0/6)/(-9))/1?\n | 0\n | ibivibiv/math_instruct | |
Let l(u) = -u + 8. Suppose -5*v = 4*b - 21, -b - 20 + 4 = -3*v. Suppose -9 = -4*x - 4*o + 15, -10 = -v*x + 5*o. Determine l(x).\n | 4\n | ibivibiv/math_instruct | |
Collect the terms in 31*s**2 + 9*s**2 + s - s + 29 - 41*s**2.\n | -s**2 + 29\n | ibivibiv/math_instruct | |
Solve -174*z - 840 = -69*z for z.\n | -8\n | ibivibiv/math_instruct | |
What is the second derivative of 259414*t**5 - t - 2352 wrt t?\n | 5188280*t**3\n | ibivibiv/math_instruct | |
What is 34687 to the power of 1/9, to the nearest integer?\n | 3\n | ibivibiv/math_instruct | |
202200 (base 4) to base 15\n | 9c3\n | ibivibiv/math_instruct | |
Let u(d) = -6*d**2 - 4*d - 1. Let k be ((13 - 8) + -1)*(-3)/4. Calculate u(k).\n | -43\n | ibivibiv/math_instruct | |
Suppose -1 = l - 6. Suppose 35 = -t - l*s, -t + 0*s = -s + 5. Let m = -6 - t. List the prime factors of m.\n | 2\n | ibivibiv/math_instruct | |
Suppose 9*p = 8*p - 2. Calculate the least common multiple of ((-18)/24)/(p/24) and 2.\n | 18\n | ibivibiv/math_instruct | |
Solve 3*z + 3*o - 42 = 12, 0 = -681*z + 686*z - 2*o + 71 for z.\n | -5\n | ibivibiv/math_instruct | |
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"# Improper integral help (trig sub?)
I have been bashing my head against this problem for a couple of hours now and cannot for the life of me figure it out. i am able to get AN answer but when i check it with my calculator i... | Improper Integrals and Trigonometric Substitutions: A Comprehensive Walkthrough
In this discussion, we will delve into the world of improper integrals and trigonometric substitutions by working through a provided example. Along the way, we'll highlight essential techniques, common pitfalls, and tips for success.
Imp... | ibivibiv/math_instruct | |
Simplify (sqrt(180)/sqrt(4))/sqrt(9)*-6.\n | -6*sqrt(5)\n | ibivibiv/math_instruct | |
Let z = 1226 - 11087/9. What is the common denominator of z and (-2)/13 - 10/7800*998?\n | 90\n | ibivibiv/math_instruct | |
Rearrange 10*w**4 + w**4 - 16*w**4 - 6 + 2*w + 4*w**4 to n + g*w**3 + p*w**4 + a*w + c*w**2 and give p.\n | -1\n | ibivibiv/math_instruct | |
Evaluate (-7502)/191301 + 3362/(-102).\n | -33\n | ibivibiv/math_instruct | |
Expand (-3*c - 4*c + 2*c - 2)*(-1 + 39 + 0).\n | -190*c - 76\n | ibivibiv/math_instruct | |
Two letters picked without replacement from {n: 3, c: 1, l: 1, r: 4, u: 1, v: 2}. What is prob of picking 2 v?\n | 1/66\n | ibivibiv/math_instruct | |
Two letters picked without replacement from jfujjjfjufffjjj. What is prob of sequence jf?\n | 4/21\n | ibivibiv/math_instruct | |
What is the third derivative of 128150232*r**3 + 13045207*r**2 + 2 wrt r?\n | 768901392\n | ibivibiv/math_instruct | |
Is 63793 prime?\n | True\n | ibivibiv/math_instruct | |
What is 2445361.668 rounded to the nearest one thousand?\n | 2445000\n | ibivibiv/math_instruct | |
Let m = 366 - 366. Let -1/5*y**2 + m*y + 0 = 0. What is y?\n | 0\n | ibivibiv/math_instruct | |
Put 2/5, 5, -1, -2/17 in increasing order.\n | -1, -2/17, 2/5, 5\n | ibivibiv/math_instruct | |
Suppose -515718*h**2 + 221050*h - 12 = 0. What is h?\n | 2/36837, 3/7\n | ibivibiv/math_instruct | |
Solve -477*w + 334*w = -1287 for w.\n | 9\n | ibivibiv/math_instruct | |
What is the hundreds digit of 21900091?\n | 0\n | ibivibiv/math_instruct | |
What is the third root of 823 to the nearest integer?\n | 9\n | ibivibiv/math_instruct | |
Calculate prob of sequence mkm when three letters picked without replacement from {m: 2, k: 4}.\n | 1/15\n | ibivibiv/math_instruct | |
Let o(v) be the second derivative of v**5/10 - v**4/3 + v**3/3 - 2*v**2 + 5*v. What is the tens digit of o(3)?\n | 2\n | ibivibiv/math_instruct | |
Suppose 5*m = -2*x - 2*x - 20, -5*m - 25 = 5*x. Let t be 0/((6/2)/3). Suppose -3*k + t*k + 12 = m. Is k a multiple of 4?\n | True\n | ibivibiv/math_instruct | |
Calculate the remainder when 15833777 is divided by 1130984.\n | 1\n | ibivibiv/math_instruct | |
Solve -21 = -3*g, o + 8*g = 70 - 13 for o.\n | 1\n | ibivibiv/math_instruct | |
What is 4/(-24) - (-4067)/(-2490)?\n | -9/5\n | ibivibiv/math_instruct | |
Find the minimum value of the function f(x,y) = 2x² - 5xy + 3y² using particle swarm optimization, where the range of x is [-10, 10] and the range of y is [-5, 5]. | Particle Swarm Optimization (PSO) is a computational method that optimizes a problem by iteratively trying to improve a candidate solution with regard to a given measure of quality. Here, we will use PSO to find the minimum value of the given function f(x, y) = 2x² - 5xy + 3y² within the specified range of x and y.
1.... | ibivibiv/math_instruct | |
Solve 3*p + 16291 = 16321 for p.\n | 10\n | ibivibiv/math_instruct | |
Let m(c) = -c**2 + c. Let v(l) = -l**2 + 2*l - 2. Let t be 2/(-4) + 62/4. Let u = t - 13. Calculate u*m(b) - v(b).\n | -b**2 + 2\n | ibivibiv/math_instruct | |
Divide -161 by 285.\n | -161/285\n | ibivibiv/math_instruct | |
Let x = -2 + 1.5. Let b = -48.1335008 + 48.6335. Let r = x + b. Round r to six dps.\n | -0.000001\n | ibivibiv/math_instruct |
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