) = -p**4 - p**2 - p + 1. Let b(v) = 4*i(v) + 4*s(v). Find the third derivative of b(x) wrt x.
-58080*x**3
What is the third derivative of -4*y**3 - 3*y + y**2 + 6*y + 3*y**4 + 15*y wrt y?
72*y - 24
Let h(o) be the third derivative of -o**9/6048 - o**6/60 + 2*o**5/15 + 7*o**2. Let y(k) be the third derivative of h(k). Differentiate y(w) with respect to w.
-30*w**2
Let z be 208/56 + 2/7. Suppose -70 = -o - z*o. Differentiate -o - t**4 + 7 - t**4 wrt t.
-8*t**3
Let p(u) be the third derivative of -1/30*u**5 + 0 + 0*u + 1/6*u**3 + 0*u**4 - 12*u**2. Find the first derivative of p(z) wrt z.
-4*z
Let p(y) be the first derivative of -101*y**4/2 - 92*y + 10. Differentiate p(t) wrt t.
-606*t**2
Let z(s) be the second derivative of -1/3*s**3 - 11/15*s**6 + 19*s + 0 + 0*s**4 + 0*s**2 + 0*s**5. What is the second derivative of z(f) wrt f?
-264*f**2
Let a(g) be the third derivative of 31*g**4/6 + 143*g**3/3 - 60*g**2. What is the derivative of a(s) wrt s?
124
Let q = 89 - 89. Let j(t) be the first derivative of -4 + 0*t + 2/5*t**5 + 0*t**3 + 3/2*t**2 + q*t**4. Find the second derivative of j(d) wrt d.
24*d**2
Let d(x) = -16*x**2 + 20*x - 4. Let q(j) = -5*j**2 + 3*j**2 + 3*j**2 + 20*j - 21*j. Let c(p) = -2*d(p) - 40*q(p). Differentiate c(b) wrt b.
-16*b
Let x(u) be the first derivative of -13/3*u**3 + 0*u**4 + 0*u**2 - 12/7*u**7 + 0*u**5 + 9 + 0*u**6 + 0*u. What is the third derivative of x(o) wrt o?
-1440*o**3
Let b(m) = -4*m**3 + 8*m**2 - 3*m + 2. Let d be b(-4). Find the third derivative of -4*o - 401*o**2 + d*o**2 + 4*o + 8*o**4 wrt o.
192*o
Find the third derivative of -59*y**2 + 423*y**3 - 352*y**3 - 60*y**2 - 2*y**4 wrt y.
-48*y + 426
Let y(d) be the third derivative of -35*d**4/24 - 37*d**3/2 + 65*d**2 - d. Differentiate y(i) with respect to i.
-35
Let v(u) be the first derivative of -20*u**4 + 4*u**2 - 2*u - 43. Find the second derivative of v(f) wrt f.
-480*f
Let h be -3 - -6 - 0/(-1). What is the first derivative of -3*f**3 + 12*f**4 + h*f**3 + 96 - 104 wrt f?
48*f**3
Let j(i) be the first derivative of -671*i**4/4 - 279*i - 644. What is the first derivative of j(b) wrt b?
-2013*b**2
Suppose -18 = 31*q - 29*q. Let n = -3 - q. Find the third derivative of -2*h**2 + h**2 - 2*h**2 - h**2 + n*h**3 wrt h.
36
Let n(m) be the second derivative of m**3/6 + 7*m**2/2 - 2*m. Let o be n(-5). What is the third derivative of -6*h**o - 228*h**3 + 228*h**3 - 2*h**6 wrt h?
-240*h**3
Let k(q) be the first derivative of -3*q**7/7 + q**6/2 - 10*q**3/3 - 62. Find the third derivative of k(f) wrt f.
-360*f**3 + 180*f**2
Find the third derivative of -3*a + 155*a**3 - 11*a**2 + 18*a - 10*a - 5*a + 2 wrt a.
930
Let t(o) = 80*o + 7. Let u be t(5). What is the third derivative of -407 - y**2 + 26*y**5 + u + 14*y**2 wrt y?
1560*y**2
Let g(d) be the third derivative of d**9/504 + 11*d**6/120 - d**5/60 - 2*d**3/3 + 101*d**2. Find the third derivative of g(c) wrt c.
120*c**3 + 66
What is the derivative of -34*n**2 + 51 + 35*n**2 + 303*n + 372 wrt n?
2*n + 303
Suppose v - 4 = -3*i, 2*i = 3*v + 3 + 7. Find the third derivative of -3*z**2 + 0*z**3 + z**3 - i*z**3 + 6*z**3 wrt z.
30
Let c(n) = 28*n**4 - 14*n**3 - 7*n**2 + 47. Let u(d) = 9*d**4 - 5*d**3 - 2*d**2 + 16. Let m(s) = 2*c(s) - 7*u(s). Differentiate m(l) wrt l.
-28*l**3 + 21*l**2
Let m(y) = -y - 20. Let s be m(-23). What is the second derivative of -5 - 2*g**3 + 5 + 18*g**s + 13*g wrt g?
96*g
What is the derivative of 140 - j + 27*j**3 - 31*j**3 - 36 + 6*j wrt j?
-12*j**2 + 5
Let d = 1 + 3. Find the second derivative of -5*r**d + 13*r + 0*r**4 - 3*r**4 + 2*r**4 wrt r.
-72*r**2
Suppose 0 = 5*r - 7 - 3. Suppose -4*k + r = -3*k. Find the third derivative of 4*p**4 + p**4 - 3*p**4 - 6*p**k wrt p.
48*p
Suppose 0 = -4*u - u + 10. Differentiate 8*t**2 - t**u - 17*t**2 - 2*t**2 + 6 with respect to t.
-24*t
Suppose -4*l = -0 - 4. Let o(u) = u**2 + u. Let b(c) = 4*c**3 - 4*c**2 - 3*c. Let i(t) = l*b(t) + 3*o(t). What is the third derivative of i(y) wrt y?
24
Let p(t) = -3*t - 5. Let i be p(-5). Suppose 5*f - 5*a + i = 4*f, 8 = 4*f - 4*a. What is the derivative of -f + w**4 + 0*w + 1 + 0*w wrt w?
4*w**3
Let b(s) be the third derivative of -s**6/120 + s**5/4 - 31*s**3/2 + 7*s**2 + 5. Find the first derivative of b(u) wrt u.
-3*u**2 + 30*u
Let v(g) = -g**2 - 12*g - 10. Let a(z) = z - 1. Let c(r) = -4*a(r) - v(r). Let d be c(-6). Find the first derivative of 3 + d*l**2 - 10*l**2 + 1 + 6*l**2 wrt l.
-4*l
Let f(m) be the second derivative of 0*m**4 - 6/5*m**5 + 0*m**2 + 2*m + 1/3*m**3 - 22. Find the second derivative of f(z) wrt z.
-144*z
Find the third derivative of 7 - 5*o**4 - 21 + 14 - 6*o**3 + 53*o**2 wrt o.
-120*o - 36
Let m(z) be the first derivative of 337*z**6/6 + 63*z**3 + 227. What is the third derivative of m(a) wrt a?
20220*a**2
Let f be 7/(-3) - 304/(-48). Let z(s) be the second derivative of 0*s**2 + 0*s**3 + 7/12*s**f + 0 + 1/4*s**5 + 2*s. What is the third derivative of z(v) wrt v?
30
Let a(d) = 2*d**3 + 2*d**2 - d. Let v be a(1). Find the second derivative of -5 + 5 + 16*x + 2*x**3 + 3*x**v wrt x.
30*x
What is the third derivative of 223*t**2 + 47 - 223 - 99*t**2 - 121*t**2 - 28*t**3 wrt t?
-168
Let p(h) be the second derivative of 661*h**6/30 - h**4/3 - 7*h**2 - 154*h. What is the third derivative of p(i) wrt i?
15864*i
Let c(y) be the second derivative of 0*y**4 + 3/10*y**5 + 0 + 0*y**3 - y + y**2. What is the first derivative of c(z) wrt z?
18*z**2
Let d(r) = 140*r - 346. Let w(f) = 47*f - 115. Let b(n) = -4*d(n) + 11*w(n). Differentiate b(o) with respect to o.
-43
Let l(c) be the second derivative of 25*c**4/3 - 75*c**2 - 232*c. Differentiate l(r) wrt r.
200*r
Let k(b) be the second derivative of 295*b**4/4 + 463*b**2/2 + b + 22. What is the derivative of k(g) wrt g?
1770*g
Suppose 0 = -3*f - 3. Let j = f + 6. What is the third derivative of -10*q**3 - 4*q**2 + 6*q**3 + j*q**2 wrt q?
-24
Suppose 5*m + o = 71, 5*o + 3 + 17 = 0. What is the derivative of -5*r - m*r**4 + 5*r - r**4 + 12 wrt r?
-64*r**3
Let j(c) = 671*c - 1129. Let u(l) = 167*l - 282. Let n(k) = -2*j(k) + 9*u(k). What is the derivative of n(v) wrt v?
161
Let v(m) = -201*m**4 - 46*m**2 + 16*m. Let d(w) = -50*w**4 - 11*w**2 + 4*w. Let f(q) = -9*d(q) + 2*v(q). What is the third derivative of f(k) wrt k?
1152*k
What is the third derivative of 2*x**2 + 1622*x**4 + 1623*x**4 + 190*x**6 - 163 - 3245*x**4 wrt x?
22800*x**3
What is the second derivative of 37*v**4 + v**3 + 27 - 65*v**4 + 9*v**3 + 3*v + 33*v**4 wrt v?
60*v**2 + 60*v
Find the third derivative of -97*v + 2*v**5 + 2*v**2 - 107*v + 10 - 18*v**5 + 204*v wrt v.
-960*v**2
Let c(y) be the first derivative of 192*y**5/5 + 101*y - 251. Find the first derivative of c(l) wrt l.
768*l**3
Let u(k) = -324*k**3 + 11*k**2 + 324*k. Let z(x) = -x**3 + x**2 - x. Let m(n) = 2*u(n) - 22*z(n). Find the second derivative of m(c) wrt c.
-3756*c
Let x(j) be the first derivative of -86*j**3/3 - 52*j**2 + 176. What is the second derivative of x(s) wrt s?
-172
Let h(u) be the third derivative of 599*u**5/60 + 449*u**4/24 - 768*u**2. What is the second derivative of h(m) wrt m?
1198
Let b be 8/1 - (4 - -13 - 9). Let d(k) be the second derivative of 2/3*k**4 + 0*k**2 + b + 5/3*k**3 + 13*k. Find the second derivative of d(y) wrt y.
16
What is the derivative of 11*r**2 - 10*r**2 + 99 + 459 - r**2 - 265*r**3 wrt r?
-795*r**2
Let b(j) = -143*j**3 + 49*j**2 + 10*j - 5. Let a(c) = 215*c**3 - 74*c**2 - 16*c + 8. Let q(i) = -5*a(i) - 8*b(i). What is the third derivative of q(h) wrt h?
414
Find the second derivative of 142*g**5 - 62*g**4 + 62*g**4 - 1269*g + 297*g wrt g.
2840*g**3
Suppose -3*d - 22 = -5*v + 14, 3*v - d - 24 = 0. What is the derivative of -n + 2*n - 10*n + v wrt n?
-9
Let l(d) = d**2 - 1. Let f(k) = -529*k + 2*k**2 + 529*k + 26. Let n(g) = -f(g) + 5*l(g). What is the first derivative of n(t) wrt t?
6*t
Let u(q) be the second derivative of -53*q**3/2 - 18*q**2 + 7*q - 1. Differentiate u(l) with respect to l.
-159
Suppose 0*h - 18 = 2*h. Let n be (6/h)/(3/(-9)). What is the first derivative of 1 + 4*v**n - 7*v**2 - 2*v**2 wrt v?
-10*v
Let v(k) = -2*k + 22. Let j be v(10). Suppose -y + j*y = 2. What is the third derivative of 5*g**2 + 3*g**y + g**5 + 0*g**5 wrt g?
60*g**2
Let w(v) = v**3 + v**2. Let k(n) = -7*n**3 - 6