c). Differentiate b(i) with respect to i.
296
Let w(h) = 2*h**2 + 3. Let x be w(0). What is the derivative of 8*o**x - 11 - 1 + 9 + 10 wrt o?
24*o**2
Suppose 2*m + 2*m - 16 = 0. What is the second derivative of -t - 6*t**4 + 3*t**4 + 0*t**4 + 2*t**m wrt t?
-12*t**2
Let t(j) = 3*j**2 + 24*j + 2. Let x be t(-8). Suppose 1 = -d + 3. What is the second derivative of 9*f**d - 8*f**2 + 2*f**x - 3*f + 8*f wrt f?
6
Let n(t) = -5*t**5 + t - 3 - t**5 + 6. Let v = 106 - 105. Let i(a) = a**5 - 1. Let m(z) = v*n(z) + 3*i(z). Find the second derivative of m(s) wrt s.
-60*s**3
Suppose 41*u = 47*u - 1098. Find the third derivative of 214*y**3 - 2*y**2 - 12*y**2 - u*y**3 wrt y.
186
Let q = -65 - -103. Differentiate -q*k**2 + 38*k**2 - 37 - 24*k**3 wrt k.
-72*k**2
Let h(u) = -181*u**2 + 3*u + 72. Let q(f) = 2*f**2 + 2*f + 2. Let j(l) = h(l) - q(l). Find the second derivative of j(o) wrt o.
-366
Let j(f) = 6*f**2 + 7*f - 239. Let d(o) = -o**2 - o + 48. Let l(u) = 11*d(u) + 2*j(u). What is the derivative of l(i) wrt i?
2*i + 3
What is the third derivative of -212*d**5 - 8*d**4 - 4 + 195*d**5 + 1 + 10*d**4 + 9*d**2 wrt d?
-1020*d**2 + 48*d
Let l(a) be the first derivative of 0*a**2 - 11 + 14/3*a**3 - 18*a. Differentiate l(k) wrt k.
28*k
Let d = 25 - 17. What is the third derivative of 5*q**2 + q - d*q**2 - q - 6*q**3 wrt q?
-36
Let y(s) be the first derivative of s**6/40 + 13*s**4/24 + s**3/3 - 6. Let v(u) be the third derivative of y(u). Find the first derivative of v(x) wrt x.
18*x
What is the derivative of 19 - 184 - 54*r**2 - 197 + 72 wrt r?
-108*r
Let n be 9/3 + (6 - 2). Suppose -2 = -2*f + 2. What is the second derivative of 2*z - f*z + n*z**4 + 4*z - z wrt z?
84*z**2
Let a be 16/6*(-15)/(-20). What is the third derivative of 6*p**5 + 9*p**5 + 3*p**5 - 5*p**a - 4*p**5 wrt p?
840*p**2
What is the second derivative of 266*p + 366*p - 49*p + 256*p**4 wrt p?
3072*p**2
Find the third derivative of 81*l**2 - 31501*l**3 + 339*l**2 + 31503*l**3 + 509*l**5 wrt l.
30540*l**2 + 12
Let q = 6 - 8. Let g(c) = c**3 + 3*c**2 - 1. Let h be g(q). Find the second derivative of 10*y + 5*y**4 - h*y - 5*y wrt y.
60*y**2
Suppose 6*i + 6 = 9*i. Suppose 0*g - 6 = -i*g. Differentiate -1 + 8*p**g + 4 - 9 + 0*p**3 with respect to p.
24*p**2
Let a = -93 + 130. Find the first derivative of -3*x - 2*x**2 + 6*x**2 - a + 0*x - x**2 wrt x.
6*x - 3
Find the first derivative of 167 - 34*y**3 - 33*y**3 - 118*y**3 + 132 wrt y.
-555*y**2
Let w(p) be the first derivative of 43*p**7/7 - p**4/4 - p**3/3 - 27*p**2 - 45. Find the third derivative of w(g) wrt g.
5160*g**3 - 6
Suppose 2*f - f = 0. Suppose f = 2*t - 3*d + d - 12, 0 = -4*t + 5*d + 22. Find the first derivative of -18*b**3 - 7 - 4 - 3 + t*b**3 wrt b.
-30*b**2
Let k(h) be the third derivative of -h**9/252 + 7*h**6/60 - h**5/60 - 37*h**4/12 + 5*h**2. What is the third derivative of k(s) wrt s?
-240*s**3 + 84
Find the third derivative of -76 + 3*c**5 + 9*c**6 - 8*c**6 + 77 + c**2 wrt c.
120*c**3 + 180*c**2
Let s(f) = f**3 - 15*f**2 - 13*f - 21. Let u be s(16). What is the first derivative of u + 21*z + 12*z - 3*z wrt z?
30
Let f(r) be the second derivative of -76*r**7/21 + r**4/2 + 7*r**3/3 + 2*r + 17. What is the third derivative of f(x) wrt x?
-9120*x**2
Let u(i) be the third derivative of i**8/336 - 137*i**6/120 + i**4/24 - 3*i**3 + 156*i**2. Find the second derivative of u(x) wrt x.
20*x**3 - 822*x
Let k(o) be the first derivative of 5*o**9/3024 - o**5/24 - 4*o**3/3 + 9. Let u(i) be the third derivative of k(i). What is the second derivative of u(r) wrt r?
100*r**3
Let v(x) = x**2 + 15*x - 19. Let g be v(-17). Find the second derivative of 5*b**5 - 11*b**5 + 11*b + 11*b - g*b**5 wrt b.
-420*b**3
Let n(q) = -4*q + 20. Let f(a) = 9*a - 39. Let l(w) = 2*f(w) + 5*n(w). Let d be l(10). Differentiate -8 - 10*t**d - 4*t**2 + 5*t**2 wrt t.
-18*t
Let z(q) = 10 + q**2 - 2*q**2 - 23 + 12*q. Let k be z(9). Find the third derivative of k*t - 5*t**2 - 14*t - 4*t**6 wrt t.
-480*t**3
Let h(i) = -87*i**4 - 6*i**3 - 2*i**2 + 8. Let y(d) = 175*d**4 + 13*d**3 + 4*d**2 - 15. Let q(s) = 13*h(s) + 6*y(s). Find the third derivative of q(p) wrt p.
-1944*p
Let t(v) be the first derivative of -v**4/2 - 47*v**3/3 - 25*v - 52. Find the first derivative of t(i) wrt i.
-6*i**2 - 94*i
Let h(p) = p. Let y be h(-1). Let g be (14 - y)*(-16)/(-10). Find the third derivative of -g + 4*j**2 + 12 + j**5 + 12 wrt j.
60*j**2
Let h(q) = 138*q + 21. Let o be h(4). Find the first derivative of -589 + o + 31*z**4 + 8*z**4 wrt z.
156*z**3
Let d(h) = -115*h**3 + 2*h**2 - 196. Let k(c) = 574*c**3 - 11*c**2 + 981. Let b(w) = -11*d(w) - 2*k(w). Differentiate b(z) wrt z.
351*z**2
Find the third derivative of 475*x**4 - 4775*x**2 + 4086*x**2 + 217*x**4 wrt x.
16608*x
Let y(d) be the third derivative of -22*d**2 + 0*d - 11/30*d**5 + 0 - 1/4*d**4 + 0*d**3. What is the second derivative of y(r) wrt r?
-44
Let s(v) = v**2 + v - 9. Let u be s(-5). Find the second derivative of -u*g + 3*g**2 + 11*g**2 - 23*g**2 wrt g.
-18
Suppose -5*i - 12 + 37 = 0. Differentiate 5 - 9 + i*o**4 + 3 with respect to o.
20*o**3
Let r(p) be the first derivative of -3*p**8/560 + 3*p**5/40 + 8*p**3/3 + 20. Let b(o) be the third derivative of r(o). Find the second derivative of b(l) wrt l.
-108*l**2
Suppose c = -3, 3*j = 5*c - 3*c - 6. Let w be 6*(j/3 + 2). Differentiate 132 - 126 + p**w + 6*p**4 with respect to p.
28*p**3
Suppose 5*n - 13 = -0*n - 3*g, 4*g = -5*n + 14. What is the second derivative of -4*m**2 - 7*m**n + 10*m + 17*m**2 + 13*m**2 wrt m?
38
Find the third derivative of 8*r**2 + 6*r**3 - 65*r**2 - 56*r**3 wrt r.
-300
Let n(b) = -4*b**3 - b**2 - b. Let z(p) = -291*p**3 - 4*p**2 - 232*p. Let c(w) = -4*n(w) + z(w). What is the second derivative of c(t) wrt t?
-1650*t
What is the first derivative of -52 + 74*l**2 + 14*l**2 + 163*l**2 - 30 + 8 wrt l?
502*l
Let s(t) be the first derivative of -25*t**4/4 - 14*t**3 + 51. What is the third derivative of s(w) wrt w?
-150
Let r(c) be the second derivative of -c**3/6 + 5*c**2 + c. Let q be r(10). What is the derivative of 1 - t + 1 + q wrt t?
-1
What is the third derivative of -2*s + 6*s**5 - 1 + 29*s**2 - 7*s + 9*s wrt s?
360*s**2
Suppose l = 5*p - 8, -2 = p - 2*p. Differentiate -295*d + 295*d + 11*d**l - 9 with respect to d.
22*d
Let v(b) = -b**2 + 8*b + 13. Let l be v(9). Differentiate -18*q**4 - 28*q**4 - 29*q**l + 59*q**4 + 18 with respect to q.
-64*q**3
Suppose z + 5*c = 9 + 21, -4*z + 5*c + 20 = 0. What is the second derivative of z*g - 10*g - g**2 - 9*g wrt g?
-2
Let f(y) be the third derivative of -13*y**9/168 + y**6/60 + 9*y**5/20 - y**3/3 + 37*y**2 + 2*y. Find the third derivative of f(n) wrt n.
-4680*n**3 + 12
Differentiate 9 + 76*t + 19 + 90*t + 9 with respect to t.
166
What is the second derivative of -22*d**5 - 3*d**2 + 2*d**2 + 4*d**2 - 28*d**5 + 15*d**5 + d - 19 wrt d?
-700*d**3 + 6
Let b(y) = -234*y**3 + 273*y**2 + 8*y + 16. Let r(o) = -156*o**3 + 182*o**2 + 5*o + 10. Let v(h) = 5*b(h) - 8*r(h). Find the third derivative of v(m) wrt m.
468
Find the third derivative of 90*a**4 + 12*a**2 - 195*a**4 - a**3 - 132*a**2 wrt a.
-2520*a - 6
Suppose 5*d - 4*k - 8 = 0, -3*d + 5*k = -0*k + 3. What is the second derivative of 4*a - 5*a - 34*a**d + 21*a wrt a?
-408*a**2
Let t = 2 + 23. Let m = t + -22. What is the second derivative of -3*v**m - 7*v**3 - 4*v + v wrt v?
-60*v
Let o(m) be the first derivative of 471*m**4/4 - 440*m + 241. Differentiate o(z) wrt z.
1413*z**2
Let y(c) be the first derivative of -251*c**3 - 7*c**2/2 + 13*c + 738. Find the second derivative of y(p) wrt p.
-1506
What is the third derivative of 4*z**2 - 84*z**6 - 4*z**2 - 31*z**2 wrt z?
-10080*z**3
Let n(h) be the second derivative of 10*h + 0 - 11/6*h**3 - 1/2*h**2. Differentiate n(t) with respect to t.
-11
Find the second derivative of -98*p - 187 + 187 - 10*p - 4*p**2 wrt p.
-8
Let b(c) be the first derivative of -3*c**5/10 + 3*c**2/2 - 3*c - 4. Let m(i) be the first derivative of b(i). What is the first derivative of m(y) wrt y?
-18*y**2
Let m(o) be the first derivative of 288*o**2 + 19*o - 3 - 308*o**2 + 0. Differentiate m(l) wrt l.
-40
Let j(z) = -5*z + 2. Let t be j(-3). Suppose -4*x = -3*w + t, -4*w - 3*x = -10 + 4. What is the second derivative of 0*h - h + w*h + h**4 wrt h?