4 + k*a**3 with respect to a.
48*a**3
Suppose -4 + 19 = 3*t. Find the second derivative of -33*p - 47*p**t + 84*p**5 - 39*p**5 wrt p.
-40*p**3
Let r(c) be the second derivative of -c**7/56 + c**5/60 - 7*c**3/6 + c. Let x(h) be the second derivative of r(h). What is the second derivative of x(j) wrt j?
-90*j
Let m be 36/21 - 1*(-6)/21. What is the derivative of 12*s**m + 1 - s**2 + 4*s**2 + 1 wrt s?
30*s
Let f = 4/677 + 3377/1354. Let r(w) be the second derivative of 4*w - 1/6*w**3 + 0 - f*w**2. What is the derivative of r(x) wrt x?
-1
Let p(i) be the third derivative of 77*i**5/60 - 41*i**3/6 + i**2 + 2*i. Find the first derivative of p(m) wrt m.
154*m
Let m = 489 - 489. Let c(o) be the second derivative of -1/6*o**3 - 2/15*o**6 + 0 + 0*o**4 + 7*o + 0*o**5 + m*o**2. Find the second derivative of c(v) wrt v.
-48*v**2
Let c(x) be the first derivative of 10*x**4 - 26*x**3/3 - 37. Find the third derivative of c(y) wrt y.
240
Let b(h) be the first derivative of 66*h**7 - 7*h**3/3 - h - 113. Find the third derivative of b(o) wrt o.
55440*o**3
Let c(x) be the second derivative of -37*x**6/10 - 34*x**4/3 - 5*x + 1. What is the third derivative of c(k) wrt k?
-2664*k
Suppose -7*o = -3*q - 10*o + 6, -3*q = 5*o. Let b(d) be the second derivative of 0*d**3 + 0 - 1/3*d**4 + 2*d**2 + q*d. Differentiate b(j) with respect to j.
-8*j
Let o = 13 - 11. Let k be ((-9)/o)/(27/(-18)). What is the derivative of -k + 3*b**2 + b**2 - 3 - 2 wrt b?
8*b
Let j(s) be the third derivative of 49*s**6/120 + s**5/15 - s**3/2 + 85*s**2. What is the third derivative of j(k) wrt k?
294
Let v = -5 - -9. What is the second derivative of -6*u + 4*u**4 - 2*u**v - 3*u wrt u?
24*u**2
Let f(q) be the second derivative of 9/20*q**5 + 0*q**3 + 0*q**2 - 5/6*q**4 + 0 - 3*q. Find the third derivative of f(c) wrt c.
54
Let n be (-1 - 12/(-9))/(3/153). What is the first derivative of -n - 13*u - 3*u + 4 wrt u?
-16
Let k(p) be the first derivative of 199*p**2/2 + 87*p + 29. What is the first derivative of k(x) wrt x?
199
Let w(f) be the second derivative of -4*f + 0*f**2 - 7/12*f**4 + 0*f**5 + 0 + 1/30*f**6 + 0*f**3. What is the third derivative of w(d) wrt d?
24*d
Suppose -29*k = -25*k - 8. Differentiate 23 + 7*n**2 - 7*n**k + 24*n**3 - 49 wrt n.
72*n**2
Let y(a) = -a**2 - a + 3. Let l be y(0). Let x = 32 - l. Find the third derivative of -x*b**4 + 29*b**4 + 9*b**2 - 10*b**6 wrt b.
-1200*b**3
Let f(l) be the first derivative of 0*l**3 + 0*l**4 + 2/5*l**5 - 33*l - 19/2*l**2 - 19. What is the derivative of f(g) wrt g?
8*g**3 - 19
Let g(p) be the second derivative of -7*p**6/3 - 46*p**2 - 22*p. Find the first derivative of g(t) wrt t.
-280*t**3
Suppose 0 = -5*j + 5*c + 40, -5*j + 4*c = c - 36. Suppose i = -j*i + 98. Find the third derivative of -7*f**3 - 8*f**2 + i*f**3 + f**2 wrt f.
42
Let r(i) = 2*i + 2. Let z = -10 - -10. Let y be r(z). What is the third derivative of 4*b**3 - 2*b**3 - 13*b**y + 23*b**2 wrt b?
12
Suppose -b = 2*k - 18, 2*k - 18 = -2*b + 4*b. Find the third derivative of 0*g**5 - 31*g**5 + 13*g**2 - g**5 - k*g**5 wrt g.
-2460*g**2
Let b(h) = 5*h**4 - 69*h**3 + 6*h**2 + 6. Let a(u) = -6*u**4 + 70*u**3 - 4*u**2 - 7. Let y(z) = -4*a(z) - 5*b(z). What is the third derivative of y(f) wrt f?
-24*f + 390
Let j = -77 - -81. Differentiate -30*s**4 + s**3 - s**3 + 40*s**j + 11 wrt s.
40*s**3
Let r(a) be the first derivative of -1/2*a**2 - 24 + 17/2*a**4 + 0*a**3 + 0*a. Find the second derivative of r(x) wrt x.
204*x
Let w(o) = o**2 + 2*o - 1. Let c(p) = 12*p**2 + 9*p - 100. Let t(a) = c(a) - 5*w(a). What is the derivative of t(u) wrt u?
14*u - 1
Let g(m) be the first derivative of -7*m**5/10 + 11*m**3/3 - m**2/2 + 15. Let h(a) be the second derivative of g(a). Differentiate h(b) with respect to b.
-84*b
Let c(b) = 3*b**4 + 142*b**3 - 5*b + 209. Let g(v) = v**4 + 72*v**3 - 2*v + 104. Let u(h) = -2*c(h) + 5*g(h). What is the first derivative of u(i) wrt i?
-4*i**3 + 228*i**2
Let y(w) = 7*w - 7. Suppose 2*q = -4*b + 6*q - 12, 13 = -3*b - q. Let i(p) = 7*p - 6. Let l(v) = b*i(v) + 5*y(v). What is the derivative of l(r) wrt r?
7
Let x(y) = -3*y**3 - y**2 - y. Let i be x(-1). Let t be (-4)/6 - (-101)/i. Find the second derivative of 5*m**3 - m - t*m**2 + 33*m**2 wrt m.
30*m
Let x(y) be the first derivative of 7*y**7 + 2*y**5/5 + 58*y**3/3 + 83. What is the third derivative of x(l) wrt l?
5880*l**3 + 48*l
Let j(q) = -49*q**3 + q**2 - 23*q + 157. Let z(m) = -32*m**3 + m**2 - 16*m + 105. Let p(b) = 5*j(b) - 7*z(b). Find the second derivative of p(w) wrt w.
-126*w - 4
Let h(c) = -188*c**2 - 4*c + 68. Let g(a) = -92*a**2 - 2*a + 34. Let f(o) = -5*g(o) + 2*h(o). What is the second derivative of f(i) wrt i?
168
Let y = -109 - -115. What is the third derivative of -2*l**2 + 41*l**y + 8*l**2 + 7*l**6 + 36*l**2 wrt l?
5760*l**3
Suppose 2*z = 13 - 3. What is the third derivative of -14*u**2 + 9*u**5 + 11*u**5 - 32*u**z wrt u?
-720*u**2
Let a(b) be the first derivative of 9*b**3 + 36 - 4/5*b**5 + 0*b**2 + 0*b**4 + 0*b. Find the third derivative of a(r) wrt r.
-96*r
Let h(i) be the second derivative of -26*i**7/21 + 53*i**4/12 - 2*i + 3. What is the third derivative of h(x) wrt x?
-3120*x**2
Let f(a) = -a + 12. Let g be f(10). Let s = 5 + g. Find the second derivative of 6*k + 7*k**4 + s*k - 7*k wrt k.
84*k**2
Let v(r) be the first derivative of -r**9/108 - 13*r**5/60 + 7*r**3/3 - 15. Let s(o) be the third derivative of v(o). Find the second derivative of s(q) wrt q.
-560*q**3
Let s = -3125 - -3125. Let a(k) be the second derivative of 0 + s*k**2 + 7*k - 1/6*k**3 - 3/4*k**4. Find the second derivative of a(f) wrt f.
-18
Let m(u) = -u**2 + 9*u + 2. Let g be m(9). Find the second derivative of -4*i**2 - 4*i**2 + 6*i**g + 6*i wrt i.
-4
Let t(q) be the third derivative of 7/48*q**8 + 0*q + 0*q**3 + 0*q**7 + 0*q**5 + 0 - 49*q**2 + 0*q**6 - 1/3*q**4. Find the second derivative of t(p) wrt p.
980*p**3
Suppose -3*m + 3*t = 8*t - 28, 5*t - 40 = -5*m. What is the third derivative of -13*x**m + 6*x**2 + 20*x**5 - 20*x**5 + 2*x**2 wrt x?
-1560*x**3
Let y(s) = 1017*s + 43. Let w(h) = -1018*h - 61. Let j(i) = -6*w(i) - 7*y(i). Differentiate j(o) wrt o.
-1011
Suppose -3*c = -11 - 1. Suppose 0 = -n + 2 + 3. What is the second derivative of n*y**5 + 4*y - 2*y - c*y wrt y?
100*y**3
Suppose 3*d - 7 = -4. Suppose -3*m - d = 5*a + 2, -m - 5 = 3*a. What is the third derivative of 3*u**2 - 6*u**6 + 3*u**m - 3*u**4 + 2*u**2 wrt u?
-720*u**3
Let x(u) = -2*u + 4. Let o be x(3). Let v be (o - (1 + -1))/(-1). Find the third derivative of q**2 - 6*q**4 - 6*q**v + 4*q**2 wrt q.
-144*q
Let m(h) = -6*h**2 + 10*h - 536. Let w(u) = -3*u**2 + 5*u - 267. Let o(f) = -4*m(f) + 9*w(f). Find the first derivative of o(s) wrt s.
-6*s + 5
Let k be 2*(-1 - (1 - 3)). Suppose -6 = -5*r - k*x + x, 3*r + 2 = -2*x. Find the third derivative of 8*u**r - 3*u**2 + 3*u**4 + 0*u**4 wrt u.
72*u
Let j(g) be the first derivative of 104*g**3/3 - 11*g**2/2 + 35. Find the second derivative of j(c) wrt c.
208
Suppose -30 = -v - 4*v. What is the second derivative of -v*q**3 - 8*q + 19*q - 12*q wrt q?
-36*q
Find the third derivative of 130*r**5 - 228*r**5 + 3*r + 10*r**2 - r wrt r.
-5880*r**2
Let j(v) = 429*v + 308. Let q(b) = -108*b - 77. Let g(y) = -2*j(y) - 9*q(y). Find the first derivative of g(u) wrt u.
114
Let m(c) = c - 4. Suppose -5*o - 1 + 77 = 4*w, 0 = -o + 4*w - 4. Let a be m(o). Differentiate j - 2 + a*j - 2*j with respect to j.
7
Find the third derivative of -13*g**4 + 4*g**4 - 85*g**2 - 4*g**6 + 12*g**4 - 2*g**4 wrt g.
-480*g**3 + 24*g
Let y(g) = -86*g**3 - 2*g + 190. Let j(d) = 257*d**3 + 7*d - 568. Let t(x) = -2*j(x) - 7*y(x). Find the first derivative of t(a) wrt a.
264*a**2
Let h be (-3587)/(-187) + 4/(-22). Suppose p - h = 5*y, p - 2*y = -3*y + 43. What is the second derivative of 6*n**4 + 39 + 9*n - p wrt n?
72*n**2
Let k = -18 - -23. What is the second derivative of -k*q - q + q**5 + 5*q**5 wrt q?
120*q**3
Find the first derivative of -143 + 356*q + 13 - 7*q - 49 wrt q.
349
Let l be 3/1 + -2 + 2. What is the second derivative of -43*r + 8*r + 11*r - l*r**2 wrt r?
-6
Let a(v) = -8*v**3 - 30*v**2 - 3*v + 24. Let p(y) = 11*y**3 + 29*y**2 + 3*y - 24. Let t(f) = -5*a(f) - 4*p(f). Find the second derivative of t(m) wrt m.
-24*m + 68
Let g(h) be the