i) = -183*i**3 - 32*i**2 + 6. Let b(q) = -181*q**3 - 32*q**2 + 5. Let h(c) = -4*b(c) + 3*n(c). What is the third derivative of h(w) wrt w?
1050
Let c(m) be the first derivative of -5*m + 1 + 5/6*m**3 + 2*m**2. Let k(j) be the first derivative of c(j). Differentiate k(b) wrt b.
5
Let l(d) be the third derivative of 0*d + 0*d**3 + 0 - 5/12*d**4 + 0*d**5 + 12*d**2 + 7/60*d**6. Find the second derivative of l(j) wrt j.
84*j
Suppose 85 = 3*q + 2*q. Let k = 19 - q. Find the third derivative of 3*u**4 - 3*u**4 + 2*u**4 + k*u**2 + u**4 wrt u.
72*u
Let c be 51 - 2 - -4*(-3 + 4). Find the first derivative of 13 - c*o**4 - 47 + 33*o**4 wrt o.
-80*o**3
Let w(x) = x**2 + 5*x - 11. Let h be w(-9). Find the second derivative of 13*z - 21*z**4 + 12*z + h*z**4 wrt z.
48*z**2
Find the second derivative of 4*g**2 + 5*g + 2 + 37*g**2 + 28*g**2 + 2*g**2 wrt g.
142
Find the third derivative of -64*g**2 + 44*g**6 + 294*g**3 - 294*g**3 - 18*g**2 + 2*g**5 wrt g.
5280*g**3 + 120*g**2
Let r(a) = -a. Let v = -31 - -35. Let b(c) = 14 + 21*c - v - 5*c + 3. Let m(y) = b(y) + 6*r(y). Differentiate m(t) wrt t.
10
Let z(x) be the third derivative of 0*x**7 - 7/8*x**4 + 0*x**5 + 19/336*x**8 + 0*x**6 + 0 - 15*x**2 + 0*x**3 + 0*x. What is the second derivative of z(i) wrt i?
380*i**3
Let j be (-3)/2*40/(-6). Find the second derivative of -37 + 11*c - j*c**2 + 37 wrt c.
-20
Let d be (-1)/1 + -2 + 3. Suppose 3*r = -0*g - 2*g + 17, d = -5*g - 4*r + 32. Find the second derivative of -9*n + 14*n - 3*n**4 - g*n wrt n.
-36*n**2
Let u = -1/108 - -37/108. Let p(t) be the first derivative of u*t**3 - 4 - t**2 + 0*t. Find the second derivative of p(w) wrt w.
2
Suppose 2 - 117 = -23*r. Let s(x) be the third derivative of 1/3*x**3 + 10*x**2 + 0*x**4 + 0 + 0*x + 7/60*x**r. Differentiate s(y) with respect to y.
14*y
What is the second derivative of 185*u + 32 + 427*u**2 + 17 - 49 - 151*u**2 wrt u?
552
Suppose 3*d - 10 = -0*d + n, -2*d + n + 7 = 0. Find the third derivative of 263 + 9*k + k**2 + 35*k**d - 263 wrt k.
210
Let h(d) = d**4 - 2*d**3 - d**2 + d - 1. Let c(u) = -119*u**4 + 12*u**3 + 24*u**2 - 6*u + 9. Let l(n) = -c(n) - 6*h(n). Find the third derivative of l(p) wrt p.
2712*p
Let v(d) be the first derivative of -363*d**5/5 - 325*d - 390. Find the first derivative of v(r) wrt r.
-1452*r**3
Let a be 5 + ((-504)/144 - (-10)/4). Let q(d) be the third derivative of 4*d**2 + 0 + 0*d + 4/3*d**3 + 7/24*d**a. What is the derivative of q(n) wrt n?
7
Let n(b) be the third derivative of 4*b**4/3 + 14*b**3/3 + 33*b**2. Let t(f) = f. Let k(g) = n(g) + 24*t(g). Find the first derivative of k(z) wrt z.
56
Let d = 14 + 38. What is the first derivative of -4 + d*s + 5 - 34*s wrt s?
18
Let d(y) = -y**2 + y + 5. Let b(h) = -5*h**2 + 58*h - 304. Let s(f) = -b(f) + 3*d(f). Differentiate s(a) wrt a.
4*a - 55
What is the derivative of -13*b**3 + b**4 + b**4 - 7783 - 67*b**3 + 7850 wrt b?
8*b**3 - 240*b**2
Differentiate 20*j**2 - 5*j**2 - 28 + 91 - 35*j**2 - 17*j**2 with respect to j.
-74*j
Let z(y) = 2*y**3 + 2*y**2 - y + 1. Let i(s) = 270*s**3 + 8*s**2 - 3*s + 20. Let a(b) = i(b) - 4*z(b). Find the second derivative of a(k) wrt k.
1572*k
Let g = -10 + 10. Let c = -3 + 7. Find the second derivative of 2*j + 3*j + g*j + 8*j**4 - 5*j**c wrt j.
36*j**2
Let z(i) = i**3 + i**2 - i + 33. Let v(l) = -l**3 - 7*l**2 - 1. Let o be v(-7). Let g(a) = -a**3 + a**2 - a. Let y(n) = o*g(n) + z(n). Differentiate y(r) wrt r.
6*r**2
Differentiate 2*p - 6*p - 50*p**2 - 641 - 77*p**2 + 100*p**2 + 59 wrt p.
-54*p - 4
Let l(z) = 378*z**2 - 12*z + 328. Let o(r) = 2*r**2 + 2*r - 1. Let f(d) = -l(d) - 6*o(d). What is the derivative of f(g) wrt g?
-780*g
What is the third derivative of 164*g**5 - 2*g**3 - g**2 - 143*g**5 + 62*g**2 wrt g?
1260*g**2 - 12
Let u(c) be the second derivative of c**4/6 - c**3/2 - 2*c**2 - 2*c. Let t be u(3). Find the second derivative of 9*d + t*d**5 + 16*d - 19*d wrt d.
100*d**3
Find the third derivative of -16*q**2 - 63*q**3 + 352*q**3 - q**4 + 216*q**2 - 49*q**2 wrt q.
-24*q + 1734
Let d(c) be the first derivative of -352*c**3/3 - c**2 - 561*c - 772. What is the second derivative of d(j) wrt j?
-704
Let n(l) = 285*l**4 + l**2 - 4*l - 154. Let k(f) = 571*f**4 + 2*f**2 - 7*f - 307. Let g(o) = 4*k(o) - 7*n(o). What is the third derivative of g(b) wrt b?
6936*b
Let l(a) be the second derivative of -14*a + 0*a**4 + 0*a**5 + 0 - 11/30*a**6 + 0*a**3 - 3*a**2. Differentiate l(v) with respect to v.
-44*v**3
Let p(x) be the first derivative of x**7/420 + 7*x**5/40 + 19*x**3/3 + 19. Let y(j) be the third derivative of p(j). Find the second derivative of y(d) wrt d.
12*d
Let y(z) = 89*z**4 + 60*z. Let a(x) = 177*x**4 + 119*x. Let c(k) = 2*a(k) - 5*y(k). What is the second derivative of c(j) wrt j?
-1092*j**2
Let a = -31 + 32. Let u be 4/2 - (a - 1). What is the third derivative of 9*g**4 + 9*g**u - 3*g**4 - 4*g**2 + 4*g**2 wrt g?
144*g
Let r(z) be the third derivative of 5*z**8/336 - z**7/7 - 7*z**4/6 + 13*z**3/6 + 93*z**2. Find the second derivative of r(y) wrt y.
100*y**3 - 360*y**2
Let n(u) = -4*u**6 - 4*u**5 - 4*u**4 + 2*u**2 - 4*u. Let z(y) = y**6 - y**4 + y**2 - y. Let x(l) = -n(l) + 4*z(l). Find the third derivative of x(b) wrt b.
960*b**3 + 240*b**2
Let d(a) be the first derivative of -31*a**5 - 70*a + 75. What is the first derivative of d(p) wrt p?
-620*p**3
Let u(l) = 343*l**2 + 2*l + 6. Let b be u(-3). What is the third derivative of -23*x**2 + 3087*x**3 - 19*x**4 - b*x**3 wrt x?
-456*x
Let u be (-28)/80 + 21/35. Let p(r) be the third derivative of 0*r + 0 + 1/15*r**5 - u*r**4 + 2*r**2 + 0*r**3. Find the second derivative of p(z) wrt z.
8
Let b(q) = -3*q**2 + 124*q - 127. Let l(f) = -2*f**2 - 3*f. Let k(h) = b(h) - 2*l(h). Differentiate k(c) with respect to c.
2*c + 130
What is the second derivative of -2*s + 4 + 17*s**2 - 5*s + 12*s - 3 wrt s?
34
Let m(o) = 10*o - 4. Let i(y) = -10*y + 3. Suppose 15*s - 9*s - 36 = 0. Let w(g) = s*m(g) + 5*i(g). Differentiate w(k) wrt k.
10
Let j(z) be the second derivative of -2*z**6/3 - z**4/12 - 175*z**2/2 - 6*z + 11. Differentiate j(t) with respect to t.
-80*t**3 - 2*t
Let u = 59 + -52. Let b(g) = 58*g - 3. Let y(d) = -39*d + 2. Let m(z) = u*y(z) + 5*b(z). What is the derivative of m(v) wrt v?
17
Let o(i) = 129*i**3 - 2*i**2 + 3*i - 270. Let b(a) = 259*a**3 - 4*a**2 + 5*a - 539. Let l(f) = 3*b(f) - 5*o(f). Differentiate l(z) with respect to z.
396*z**2 - 4*z
Let w(s) = 19*s**4 + 4*s**3 - 173. Let j(u) = u**4 - u**3 - 1. Let c(r) = 2*j(r) + w(r). Find the first derivative of c(k) wrt k.
84*k**3 + 6*k**2
Suppose -1 = -3*d + 5*g, -d - 3 = -2*g - 3*g. Differentiate 3 + 11*o**2 - 1 - 2*o**d - 22 with respect to o.
18*o
Let g = -90 - -90. Let w(l) be the first derivative of -1/2*l**2 + g*l + 0*l**3 - 3/4*l**4 + 3. Find the second derivative of w(t) wrt t.
-18*t
Let f(w) = 93*w**2 - 9*w - 35. Let c(t) = -23*t**2 + 2*t + 9. Let o = 4 + -2. Let u(p) = o*f(p) + 9*c(p). Differentiate u(h) with respect to h.
-42*h
Let d(w) be the first derivative of -6*w**5/5 - w**4/2 + 67*w**2 + 263. Find the second derivative of d(m) wrt m.
-72*m**2 - 12*m
Let q(z) = -z - 11. Let r be q(-12). Let y = r - -1. Find the third derivative of 0*p**y + 3*p**5 + p**2 - 3*p**2 wrt p.
180*p**2
What is the second derivative of -35*n + 131*n - 43*n + 20*n**5 wrt n?
400*n**3
Let p(y) be the first derivative of 14 + 6*y + 0*y**2 + 0*y**3 + 0*y**4 + 2/5*y**5. Differentiate p(f) with respect to f.
8*f**3
Let p(n) be the first derivative of -37*n**4 - n**2/2 - 6*n + 366. Find the second derivative of p(j) wrt j.
-888*j
Let f(p) be the second derivative of 0*p**4 - 1/20*p**5 + 0 + 15/2*p**3 + 0*p**2 - 36*p. What is the second derivative of f(o) wrt o?
-6*o
Let h(c) be the third derivative of 5*c**9/504 + c**8/42 - 173*c**5/60 + 360*c**2. Find the third derivative of h(q) wrt q.
600*q**3 + 480*q**2
Let z(b) = b**2 - b + 1. Let o(y) = 507*y**2 - 82*y - 6. Let r(a) = -o(a) - 3*z(a). What is the second derivative of r(c) wrt c?
-1020
Let p(x) = 289*x**3 + 5*x**2 - 107. Let m(o) = 144*o**3 + 3*o**2 - 53. Let y(r) = 5*m(r) - 3*p(r). What is the first derivative of y(k) wrt k?
-441*k**2
Let d(z) be the second derivative of -205*z**8/28 + 185*z**4/12 - 176*z. What is the third derivative of d(m) wrt m?
-49200*m**3
Sup