instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
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|---|---|---|---|
Let o(a) = -a**2 + 8*a - 7. Let h be o(5). Suppose -u = 3*u - h. What is the greatest common factor of u and 14?\n | 2\n | ibivibiv/math_instruct | |
Let h = -204.9832 - -205. What is the second smallest value in 1, 0, 2, h?\n | h\n | ibivibiv/math_instruct | |
Let x be (4/18)/((-42)/(-54)). Let k = 0.05 + 3.95. Which is the smallest value? (a) x (b) -1.2 (c) k\n | b\n | ibivibiv/math_instruct | |
Solve -36 = -325*q + 331*q for q.\n | -6\n | ibivibiv/math_instruct | |
Is 19092597103 a composite number?\n | False\n | ibivibiv/math_instruct | |
Simplify (q**(-9/4)/q*(q/q**(-2))/q)**32 assuming q is positive.\n | q**(-40)\n | ibivibiv/math_instruct | |
Round 0.000000147959 to seven decimal places.\n | 0.0000001\n | ibivibiv/math_instruct | |
Are 183 and 232 unequal?\n | True\n | ibivibiv/math_instruct | |
Let c = 128 + 76. Let h = -199 + c. Let l(u) = 4*u - 3. Let v be l(5). Solve -h*x - 2*p - 9 = v, 5*x + 3*p + 29 = 0 for x.\n | -4\n | ibivibiv/math_instruct | |
Two letters picked without replacement from {f: 15, x: 3, e: 2}. What is prob of sequence fx?\n | 9/76\n | ibivibiv/math_instruct | |
Solve -2*o**2/23 + 254314*o/23 = 0.\n | 0, 127157\n | ibivibiv/math_instruct | |
In base 8, what is -3436357 + -3?\n | -3436362\n | ibivibiv/math_instruct | |
Let a = 16 - 20. Let b = 0 - a. Find the second derivative of -4*n**4 + 0*n**4 + 3*n**4 + 2*n**b - 8*n wrt n.\n | 12*n**2\n | ibivibiv/math_instruct | |
What is prob of picking 1 a and 3 r when four letters picked without replacement from annrrnrrrrnrrr?\n | 12/143\n | ibivibiv/math_instruct | |
How many minutes are there between 6:32 PM and 2:05 AM?\n | 453\n | ibivibiv/math_instruct | |
Let p = 200654 + -2209161/11. Let f = -179 - p. Let q be (8/86)/(-3 + 4 + 1). Which is the closest to q? (a) f (b) 3 (c) -4/7\n | a\n | ibivibiv/math_instruct | |
What is the hundreds digit of 209/44 - 5 - 3459/(-12)?\n | 2\n | ibivibiv/math_instruct | |
Is 7606575 a multiple of 27?\n | True\n | ibivibiv/math_instruct | |
What is (-5 - -7) + 6 - 11 - -8?\n | 5\n | ibivibiv/math_instruct | |
What is the third derivative of -11*h*o**5*w - 2*h*o**3*w - 3*h*o**2 - h*w + o**4 - 8*o**2 + 4*w wrt o?\n | -660*h*o**2*w - 12*h*w + 24*o\n | ibivibiv/math_instruct | |
Which is greater: -2/35 or 0?\n | 0\n | ibivibiv/math_instruct | |
Calculate the smallest common multiple of 13398 and 8.\n | 53592\n | ibivibiv/math_instruct | |
What is the highest common divisor of 786 and 923157?\n | 393\n | ibivibiv/math_instruct | |
Suppose 2*o = -4*y + 1470012, 106*y + 367475 = 107*y - 3*o. Is y a composite number?\n | True\n | ibivibiv/math_instruct | |
Let x = -2368 - -18893/8. Let p(o) = -33*o**3 + o**2 - 1. Let v be p(1). What is the common denominator of 1/v*(-186)/(-4) and x?\n | 88\n | ibivibiv/math_instruct | |
What is the common denominator of -16/5 and -22/2796853?\n | 13984265\n | ibivibiv/math_instruct | |
Express -16*t**4 - 5 + 42*t - 43*t + 3 in the form v + p*t**3 + r*t + y*t**2 + a*t**4 and give v.\n | -2\n | ibivibiv/math_instruct | |
Let k(s) be the first derivative of -s**7/840 + s**6/360 - s**5/120 - 7*s**3/3 + 14. Let i(d) be the third derivative of k(d). Let c = 25 + -23. Calculate i(c).\n | -6\n | ibivibiv/math_instruct | |
Suppose 40 = -i + 5*i. Suppose -3*y = 2*y + i. Let u = -0.33 + 0.33. Which is smaller: u or y?\n | y\n | ibivibiv/math_instruct | |
What is 480 minutes after 4:21 AM?\n | 12:21 PM\n | ibivibiv/math_instruct | |
Which is greater: -3/8543882 or -1?\n | -3/8543882\n | ibivibiv/math_instruct | |
Suppose z - 2 + 0 = 0. Let v(p) = -2 + 15*p**2 + 0 - 16*p**2 - z*p. Let a(c) = -c**2 - 2*c - 2. Determine 6*a(w) - 5*v(w).\n | -w**2 - 2*w - 2\n | ibivibiv/math_instruct | |
Let u(w) = 15*w**3 - 3 + w - 7844*w**2 + 7838*w**2 - 13*w**3. Let j(s) = -s**3 + s**2 + 1. What is -3*j(o) - u(o)?\n | o**3 + 3*o**2 - o\n | ibivibiv/math_instruct | |
Collect the terms in 643*d + 642*d - 1299*d.\n | -14*d\n | ibivibiv/math_instruct | |
Let r be (23 + -25)*((-2)/4 - -1). Let d be (-84)/(-220) - r/(1 - 6). What is the closest to d in 8, 0.3, -4/5?\n | 0.3\n | ibivibiv/math_instruct | |
What is prob of picking 1 s, 1 w, and 1 m when three letters picked without replacement from {s: 8, m: 4, w: 3, u: 1, h: 1}?\n | 12/85\n | ibivibiv/math_instruct | |
Which is smaller: -421 or 0.5256?\n | -421\n | ibivibiv/math_instruct | |
What is the second derivative of 363571291*k**2 + 2500203*k - 18 wrt k?\n | 727142582\n | ibivibiv/math_instruct | |
Write an educational piece suited for college students related to the following text snippet:
"The transform includes a maximum of 64 terms. This video covers the Laplace transform, in particular its relation to the Fourier transform. Inversion of Laplace Transforms. For each of the following Fourier transform F(@), st... | Now lets delve into the world of integral transforms, focusing on the Laplace and Fourier transforms, their relationships, and applications. We will also discuss the concept of periodic functions and touch upon the Heaviside function.
The Laplace transform is a powerful mathematical tool used to solve differential eq... | ibivibiv/math_instruct | |
Find the third derivative of -j**5 - 6*j**2 + j**2 - 6*j**2 - 2*j**2 wrt j.\n | -60*j**2\n | ibivibiv/math_instruct | |
Calculate -4.24 - 4.\n | -8.24\n | ibivibiv/math_instruct | |
Collect the terms in -106699 + 8*q**3 + 213371 - 106672.\n | 8*q**3\n | ibivibiv/math_instruct | |
Factor -2*p**2/13 + 42*p/13 + 324/13.\n | -2*(p - 27)*(p + 6)/13\n | ibivibiv/math_instruct | |
Let r(s) = 25*s**2 - 3*s. Let d(b) = 26*b**2 - 2*b. Determine -5*d(z) + 4*r(z).\n | -30*z**2 - 2*z\n | ibivibiv/math_instruct | |
b"What is the ith term of -895, -896, -897, -898, -899?\n" | -i - 894\n | ibivibiv/math_instruct | |
Round -38006.6582 to the nearest 1000.\n | -38000\n | ibivibiv/math_instruct | |
What comes next: -5591, -5608, -5645, -5708, -5803, -5936, -6113, -6340?\n | -6623\n | ibivibiv/math_instruct | |
Suppose 0 = l - 3 - 2. Suppose 18 = l*a - 2*a. Factor 4 + 4*d**2 - 4*d**3 + a*d - 2*d**5 - 6*d**4 - 2 + 0*d**4.\n | -2*(d - 1)*(d + 1)**4\n | ibivibiv/math_instruct | |
Simplify -1 + (-4*(sqrt(363) + 2))**2 - (4 + sqrt(3)*1*2 + 1)**2.\n | 684*sqrt(3) + 5834\n | ibivibiv/math_instruct | |
Let v = -80 + 66. Let t be ((-35)/v - 0) + 2/(-4). Solve 0 = -t*o - 3*o for o.\n | 0\n | ibivibiv/math_instruct | |
Let s(r) = r**2 + r. Let i(l) = -2*l**2 - 3*l + 1. Let c be i(-2). Let h = 24 - 25. Let t(f) = -2*f + 2. Give c*s(n) + h*t(n).\n | -n**2 + n - 2\n | ibivibiv/math_instruct | |
Let m(h) = -2*h**3 - 2*h + 3. Let y be m(1). Let r = 0 + -5. Which is the smallest value? (a) 2 (b) y (c) r\n | c\n | ibivibiv/math_instruct | |
Simplify 3*(1*sqrt(448) - sqrt(7)) + 0 - (sqrt(63) - 3*sqrt(1008))/((sqrt(108)*1)/sqrt(12)).\n | 32*sqrt(7)\n | ibivibiv/math_instruct | |
b"What is the pth term of -64095, -140397, -216697, -292995?\n" | p**2 - 76305*p + 12209\n | ibivibiv/math_instruct | |
What is the tens digit of 3631732?\n | 3\n | ibivibiv/math_instruct | |
What is 13 - (1 + 11 - 6)?\n | 7\n | ibivibiv/math_instruct | |
Evaluate 227/25 + 72/21600 + (-1)/12.\n | 9\n | ibivibiv/math_instruct | |
Calculate 250541 divided by 250541.\n | 1\n | ibivibiv/math_instruct | |
Sort 1, -6, -3, -921, 2.\n | -921, -6, -3, 1, 2\n | ibivibiv/math_instruct | |
In base 9, what is -706 + 24?\n | -672\n | ibivibiv/math_instruct | |
Let y = -21 - -37. Suppose -7 = z - y. Solve 0 = 3*q + 2*j + j + z, 3*q = j - 17 for q.\n | -5\n | ibivibiv/math_instruct | |
Let s be (1 - (-2 - -3)) + 4. Suppose -3*v + 5*u - 14 = 0, -s = 3*v + v - 3*u. Solve 0 = -o + 2 + v for o.\n | 4\n | ibivibiv/math_instruct | |
Round 72.13019 to the nearest 10.\n | 70\n | ibivibiv/math_instruct | |
Calculate prob of sequence bwy when three letters picked without replacement from {w: 3, c: 2, n: 1, q: 1, y: 1, b: 3}.\n | 1/110\n | ibivibiv/math_instruct | |
Let o be (-1672)/(-28) + 1 + (-2)/(-7). Let r = o - -46. Let f = r - -78. Is f a prime number?\n | False\n | ibivibiv/math_instruct | |
What is the third derivative of 73167*w**4 + 85453*w**2 wrt w?\n | 1756008*w\n | ibivibiv/math_instruct | |
What is the greatest common factor of 418 and 4158?\n | 22\n | ibivibiv/math_instruct | |
Let g = -76 + 79. Suppose -3*y = -3*v - 156, v + 97 = g*y - 53. Calculate the greatest common factor of y and 7.\n | 7\n | ibivibiv/math_instruct | |
Solve 0 = y - 3*t - 7, -3*y = -5*t + 6*t - 11 for y.\n | 4\n | ibivibiv/math_instruct | |
Expand 1500*m + 168*m + 314*m + 3*m + 3*m - 5*m + (-2*m + 0*m + 4*m)*(2 + 0 + 0).\n | 1987*m\n | ibivibiv/math_instruct | |
Is 370387548 a multiple of 115?\n | False\n | ibivibiv/math_instruct | |
Three letters picked without replacement from trqqqts. Give prob of picking 1 q, 1 r, and 1 s.\n | 3/35\n | ibivibiv/math_instruct | |
Let q = -1093/2 - -570. Does q = 24?\n | False\n | ibivibiv/math_instruct | |
Let c = 131 + -131. Suppose 4*s - 5*v - 74 + 33 = c, s + 5*v + 21 = 0. Let u(h) = -2*h**2 + 1 + s*h + 0 + 0*h**2 + 2*h. Give u(5).\n | -19\n | ibivibiv/math_instruct | |
Let w(j) = 1245*j - 614. Is 118 a factor of w(4)?\n | True\n | ibivibiv/math_instruct | |
Suppose 0 = -3*j + 9, 0 = -0*d - 3*d - 4*j + 1377. What is the hundreds digit of d?\n | 4\n | ibivibiv/math_instruct | |
Which is smaller: 0.06 or -6163.3?\n | -6163.3\n | ibivibiv/math_instruct | |
Sort 0, 10, -4 in descending order.\n | 10, 0, -4\n | ibivibiv/math_instruct | |
How many nanoseconds are there in 658644.2 microseconds?\n | 658644200\n | ibivibiv/math_instruct | |
1 divided by -198002\n | -1/198002\n | ibivibiv/math_instruct | |
Let v = -187 + 254.5. Let w = v - 67. Which is the nearest to 1/3? (a) w (b) -1/5 (c) -5\n | a\n | ibivibiv/math_instruct | |
Let r be (1/2)/((-2)/(-12)). Let h be r/(-1*(-3)/4). Let b be h*(28/16)/7. Solve q - 4*z = -z + b, -3*q + 3 = -z for q.\n | 1\n | ibivibiv/math_instruct | |
What is the second derivative of -g*v**4 + 2*g*v**2 - 1952769*g*v - 86*v**4 wrt v?\n | -12*g*v**2 + 4*g - 1032*v**2\n | ibivibiv/math_instruct | |
Calculate the highest common divisor of 1188 and 176499.\n | 27\n | ibivibiv/math_instruct | |
Which is smaller: -2166 or -5?\n | -2166\n | ibivibiv/math_instruct | |
Three letters picked without replacement from sssssswsswwssswsss. Give prob of sequence sss.\n | 91/204\n | ibivibiv/math_instruct | |
Let q(w) = -w**2 + 5*w - 4. Suppose 5*u - 23 = -3*r + 17, -2*r + 5 = -u. Let j(d) = 2*d**2 - 8*d + 6. Determine u*j(x) + 8*q(x).\n | 2*x**2 - 2\n | ibivibiv/math_instruct | |
Daniela goes shopping during a sale. She finds out that the store has 40 percent off on shoes and 20 percent off dresses. If Daniela buys 2 pairs of shoes originally priced at $50 a pair and a dress originally priced at x, how much money does she spend?
If we know the answer to the above question is 140, what is the va... | The original price of a pair of shoes is $50.
The store has a 40% off on shoes, so Daniela gets a discount of 40/100 * $50 = $20 per pair of shoes.
The discounted price of each pair of shoes is $50 - $20 = $30.
She buys 2 pairs of shoes, so the total cost of the shoes is 2 * $30 = $60.
The original price of the dress i... | ibivibiv/math_instruct | |
-1 + 2.24\n | 1.24\n | ibivibiv/math_instruct | |
What is next in -32, -259, -920, -2255, -4504?\n | -7907\n | ibivibiv/math_instruct | |
What is 13 - (-13 - (-32 + 11 + -13))?\n | -8\n | ibivibiv/math_instruct | |
Let z be (78/15)/((-3)/(-45)). What is the greatest common factor of 39 and z?\n | 39\n | ibivibiv/math_instruct | |
What is the greatest common factor of 1040 and 139880?\n | 520\n | ibivibiv/math_instruct | |
Let i be (1/(-3))/((-1)/6). Suppose -7*k + i*k = -4*z - 18, -4*z + 2*k = 12. List the prime factors of (20/(-25))/(z/35).\n | 2, 7\n | ibivibiv/math_instruct | |
Let i be 104/(-364) + 7634/14. Calculate the greatest common factor of i and 10.\n | 5\n | ibivibiv/math_instruct | |
Solve 3*b + 20 = -4*d, -2*b + 45*d - 43*d = -10 for b.\n | 0\n | ibivibiv/math_instruct | |
(8/(-80))/((15/150)/(6/(-8)))\n | 3/4\n | ibivibiv/math_instruct | |
Let u be 1/(-10)*(-420)/30. What is the fourth biggest value in 0.4, 0.01, u, 0.11?\n | 0.01\n | ibivibiv/math_instruct | |
Find r such that r**3 + 3*r**2 + 2*r = 0.\n | -2, -1, 0\n | ibivibiv/math_instruct | |
Solve -4*l + 11 = 5*n - 3*l, 13 = 4*n + 5*l for n.\n | 2\n | ibivibiv/math_instruct |
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