p**2 - 6*p + 4
Suppose 309*v = 301*v + 64. Find the first derivative of -85 - 2*t - v*t**2 - 20 - 23*t**4 + 8*t**2 wrt t.
-92*t**3 - 2
Let i(u) = -216*u**2 - 168*u - 2. Let r(k) = -1082*k**2 - 841*k - 11. Let p(h) = -11*i(h) + 2*r(h). Find the second derivative of p(z) wrt z.
424
Let s(g) be the first derivative of 409*g**3/3 + g**2/2 + 255*g + 1300. Find the first derivative of s(u) wrt u.
818*u + 1
Let w(k) be the third derivative of -7061*k**5/60 + 1365*k**4/4 + 11*k**2 - 10*k - 2. What is the second derivative of w(i) wrt i?
-14122
Find the second derivative of -216 + 5*x**2 - 1303*x + 216 - 2*x**3 + 17*x**4 + 4828*x wrt x.
204*x**2 - 12*x + 10
What is the third derivative of 718*k**3 - 63*k**3 + 275*k**2 - 1039*k**2 + 66*k**3 wrt k?
4326
Let q(f) be the second derivative of 101*f**5/20 - 7*f**4/6 - f**3/3 + 3481*f**2 + 5911*f. Differentiate q(w) with respect to w.
303*w**2 - 28*w - 2
Let x(c) be the second derivative of c**6/30 + 337*c**3/2 + 4284*c**2 + 450*c + 6. Differentiate x(a) wrt a.
4*a**3 + 1011
What is the first derivative of -42*q**2 + 19*q**2 + 22*q**2 - 602 + 1320*q**3 + 163 wrt q?
3960*q**2 - 2*q
Let f(u) be the second derivative of -31/2*u**2 + 127*u + 0 + 14*u**3. Find the first derivative of f(k) wrt k.
84
Let f = 596 + -532. Find the first derivative of 1 + 93 - 27 + f*x + 5 wrt x.
64
Let i(u) be the third derivative of 631*u**5/60 - 775*u**3/2 + 2475*u**2. Differentiate i(h) wrt h.
1262*h
Suppose 3*n = 101 - 107. Let i(w) = -79*w**2 - 21*w - 2. Let v(z) = 2*z**2 - z + 1. Let l(r) = n*v(r) - i(r). What is the second derivative of l(m) wrt m?
150
Let n be (-90)/(-12) - 6/4. Suppose -f = n*f - 273. What is the second derivative of 31 + 24*c**3 - 12*c - 70 + f wrt c?
144*c
Differentiate 19 - 101 - 1580*a**3 - 34 - 227 with respect to a.
-4740*a**2
Let u = -810 - -826. What is the second derivative of u*r**2 - 1 + 2 + 60*r + 61*r**2 - 307*r**2 wrt r?
-460
Let j(n) be the third derivative of -1169*n**5/20 - 41*n**4/8 - n**3/6 + 2*n**2 - 4991*n. What is the second derivative of j(z) wrt z?
-7014
Find the second derivative of -8*d**5 - 908*d + 13*d**5 - 6 - 63*d**2 + 9*d**5 + 809*d wrt d.
280*d**3 - 126
Let a(t) = 95*t**2 + 2*t. Let n be a(1). Find the second derivative of -n - 84*s**2 + 2*s + 33 + 129*s**2 + 36*s**2 wrt s.
162
Let p(g) = 48*g - 16. Let l be p(2). What is the second derivative of 80*f**2 - 159*f**4 + 45*f + 97*f - l*f**2 wrt f?
-1908*f**2
Let y = 196 + -192. Find the third derivative of -108*c**2 - 3*c + 77*c**2 - 39*c**y + 3*c wrt c.
-936*c
Let d(g) be the first derivative of -2*g + 0*g**4 - 7/3*g**3 + 0*g**2 + 164 + 0*g**5 + 14*g**6. Find the third derivative of d(i) wrt i.
5040*i**2
Let k = -115/241 + 6233/1446. Let p(i) be the second derivative of 0 - 11*i**2 + 27*i + k*i**3. What is the derivative of p(o) wrt o?
23
Let v(g) = 22*g + 49. Let o(c) = 1. Let b(f) = -6*f + 10. Let m(d) = -4*b(d) + 88*o(d). Let a(t) = -3*m(t) + 2*v(t). Find the first derivative of a(k) wrt k.
-28
Let t(x) be the third derivative of -339*x**6/40 + 17*x**5/3 + x**4/6 + 1231*x**2. Find the third derivative of t(r) wrt r.
-6102
Let r(m) = m**3 + 8*m**2 + 14*m + 1. Let h be r(-5). Find the second derivative of 3*x**3 + 8*x**4 + 16*x + h*x**4 - 75*x - 29*x**4 wrt x.
-180*x**2 + 18*x
Find the second derivative of 7*i**3 - 220873*i + 219407*i + 2*i**3 - 24*i**4 wrt i.
-288*i**2 + 54*i
Let f(t) = 3*t - 33. Let b be f(7). Let l = b - -24. Find the third derivative of 19*r**2 - r + 2*r**6 + r - l*r**2 wrt r.
240*r**3
Suppose 105 = -9*l + 744. What is the derivative of -102 - l*u**2 - 23*u**2 + 34 wrt u?
-188*u
Suppose 0 = 3*v - 7*v - 88. Let i = -10 - v. Differentiate 22 - 23 - i - 3*f**2 with respect to f.
-6*f
Find the first derivative of 53891*u + 99 + 66 - 54308*u wrt u.
-417
Let w = -57 - -54. Let j(x) = -14*x - 22. Let r be j(w). What is the third derivative of 2*c**3 + 3*c**3 + 13*c**2 + r*c**3 wrt c?
150
Suppose 13*b - 600 = 7*b. What is the derivative of b*i**2 + 3*i - 3*i - 48*i**2 - 35 wrt i?
104*i
Suppose -5*h = 2*j + 2*j - 431, -3*j - 5*h + 317 = 0. What is the derivative of -j - 7*n - 34*n - 6*n wrt n?
-47
What is the first derivative of -1753 - 530*r**3 - 31*r**4 + r**2 + 528*r**3 - r**2 wrt r?
-124*r**3 - 6*r**2
Let d = 89 + -85. Suppose 0 = d*p - 5*b - 47, b - 12 - 15 = -2*p. Differentiate -13*j**3 - 10*j**3 - p*j**3 + 9*j**3 + 20 wrt j.
-81*j**2
Let c(q) = -2*q - 1. Let t be (-4)/(-8) + 3/(-2) + 2. Let m(z) = -2 - 13*z - t - 12*z. Let a(o) = 6*c(o) + m(o). What is the first derivative of a(x) wrt x?
-37
Let l(s) be the second derivative of -703*s**5/4 + 919*s**2/2 - 2760*s. What is the derivative of l(y) wrt y?
-10545*y**2
Let y(w) be the first derivative of -1135*w**4/2 - 926*w**3/3 - 6752. What is the third derivative of y(j) wrt j?
-13620
Let i(f) be the first derivative of 16/5*f**5 - 1/2*f**6 + 70 + 0*f**2 + 0*f + 1/3*f**3 + 0*f**4. Find the third derivative of i(z) wrt z.
-180*z**2 + 384*z
Let o be 6/14 + 11916/126. Let g = -48 + o. What is the third derivative of -20*i**2 + 42*i - 89*i - 15*i**3 + g*i wrt i?
-90
Suppose -29 = -5*w + 2*r, -4*w = 3*r + 9 - 23. What is the second derivative of -7*d**5 + 3 + 0*d**2 + d + 2*d**2 + 0*d**2 + w wrt d?
-140*d**3 + 4
Let o(j) be the first derivative of -17*j**5 - 1349*j - 789. Find the first derivative of o(u) wrt u.
-340*u**3
Suppose 2*m - 2*u - 17 - 35 = 0, -3*m = 4*u - 92. Find the first derivative of m + 9*h**2 + 59 - 6*h - 5*h + 17*h wrt h.
18*h + 6
Let i(p) be the first derivative of 769*p**2/2 + 453*p - 515. Differentiate i(k) wrt k.
769
Let q = 424 + -420. Differentiate -33 + 28*z - q*z + 146 wrt z.
24
Let p(u) be the third derivative of 26*u**7/105 + 2*u**6/15 - u**5/20 + 91*u**4/24 + 3*u**3/2 + 6*u**2 + 76. What is the second derivative of p(r) wrt r?
624*r**2 + 96*r - 6
Let u be 15 - 14 - (-1 + -2). What is the third derivative of 5*s**2 - s**5 - u*s**2 + 10*s**5 + 0*s**2 + 13*s + 3*s**4 wrt s?
540*s**2 + 72*s
Suppose 2*l + o - 32 - 32 = 0, -5*l = 3*o - 162. Differentiate -4*a**2 + l + 16 - 3*a**4 + 18 wrt a.
-12*a**3 - 8*a
Let x(l) be the first derivative of 212*l**5/5 + 23*l**3/3 + 13765*l**2/2 + 4766. Find the second derivative of x(a) wrt a.
2544*a**2 + 46
What is the first derivative of 2*z - 490*z**2 - 4*z - 472*z**2 - 101*z**2 - 3487 wrt z?
-2126*z - 2
Let v(j) = -7544*j**2 + 1027*j - 12. Let w(o) = -7556*o**2 + 1027*o - 15. Let i(x) = -5*v(x) + 4*w(x). Find the second derivative of i(q) wrt q.
14992
Differentiate -55452 - 1006*y**2 + 109569 - 50724 with respect to y.
-2012*y
What is the second derivative of -203 - 5*x - 93 + x - 70*x**4 + 134*x**4 - 1678*x**5 - 63*x**4 wrt x?
-33560*x**3 + 12*x**2
What is the second derivative of -251*o - 796*o**2 - 63*o**2 + 478*o - 89*o wrt o?
-1718
What is the third derivative of -4*r**6 + 17*r**2 + 1 - 69*r**2 + 5*r**6 - 334*r**4 + 3*r**6 + 32*r**4 wrt r?
480*r**3 - 7248*r
Let x(y) be the first derivative of 25*y**4/12 + 37*y**2 + 75*y - 24. Let p(u) be the first derivative of x(u). What is the first derivative of p(o) wrt o?
50*o
Let n(i) be the third derivative of 29/60*i**5 - 1/24*i**4 - 24*i**3 + 0*i + 9 - 12*i**2. Differentiate n(w) with respect to w.
58*w - 1
Suppose -21*d = -22*d + 349. Find the third derivative of -29*m**2 + d*m**2 - 250*m**4 - 12*m**2 - m**6 wrt m.
-120*m**3 - 6000*m
Suppose -8*o = -4*o. Suppose o = -50*d + 53*d - 12. Find the second derivative of 5*h + 17*h - 12*h + 13*h**4 - 6*h**d wrt h.
84*h**2
Let v(q) = -q**3 + 4. Let k(s) = s**4 - 238*s**3 - 8141*s**2 - 16. Let x(l) = -k(l) - 4*v(l). Find the third derivative of x(d) wrt d.
-24*d + 1452
Differentiate 4508 - 12*b + 103*b**3 - 106*b**3 + 6677 with respect to b.
-9*b**2 - 12
Let f(d) be the first derivative of d**3/3 + 4*d**2 + 10*d + 15. Let u be f(-7). What is the first derivative of u - 5*j**2 - 1 + 11 + 2 wrt j?
-10*j
Suppose 0 = 5*k - 91*k - 87 + 345. Let q(f) be the second derivative of 0 - 9/2*f**2 + 2*f - 13/3*f**k. What is the derivative of q(r) wrt r?
-26
Let f(p) = -255*p**3 + p**2. Let z be f(-1). Differentiate -35*i + z + 33*i + 19 + 27*i + 73*i with respect to i.
98
Let a(d) = 13618*d**2 - 33*d + 19296. Let o(g) = 2724*g**2 - 6*g + 3859. Let q(w) = 2*a(w) - 11*o(w). What is the derivative of q(k) wrt k?
-5456*k
Find the 