8. Let m(l) = l**4 - l**3 - 2*l**2 + l + 1. Let g(k) = f(k) - 6*m(k). What is the first derivative of g(h) wrt h?
12*h**3 + 34
What is the third derivative of -48*b + 3*b**2 + b**2 - 16*b**5 + 45*b + 0*b**5 - 2*b**2 + 3*b**4 wrt b?
-960*b**2 + 72*b
Let n(r) = 421*r**6 - 4*r**5 - 2*r**3 - 678*r**2. Let t(l) = l**6 - 2*l**5 - l**3. Let c(w) = n(w) - 2*t(w). What is the third derivative of c(k) wrt k?
50280*k**3
Let f(u) be the second derivative of 2*u**6/15 + 2*u**5/5 - 23*u**2 + u - 3. Let g(r) be the first derivative of f(r). Find the third derivative of g(l) wrt l.
96
Let u = -15 + 20. Suppose -6*b + b = 5*c + u, -15 = 5*c. Find the third derivative of 4*p**4 - 3*p**b + p**4 - 3*p**2 wrt p.
120*p
Let r(m) = 8*m**2 + 33*m - 15. Let g(f) = f - 1. Let v(o) = -6*g(o) + r(o). Let h(w) be the first derivative of v(w). Differentiate h(t) wrt t.
16
Suppose 5*u - 2 = 4*z - 37, -4*z - u + 17 = 0. What is the second derivative of 2*i + 2*i**4 + 5*i + z*i**4 + 9*i wrt i?
84*i**2
Let h(l) be the second derivative of -l**6/15 + 6*l**5/5 - 59*l**3/3 - l - 1. Find the second derivative of h(x) wrt x.
-24*x**2 + 144*x
Let d be 6/(-10) + 0 + 16842/70. Find the third derivative of 33*n**5 + d*n**3 + 11*n**2 - 240*n**3 wrt n.
1980*n**2
Suppose 3 + 9 = 3*s. Let h(k) = k**3 - 5*k**2 + 6*k - 6. Let u be h(4). Find the third derivative of 12*v**2 + v**u + 17*v**4 - 4*v**2 - 4*v**s wrt v.
312*v
Let o(b) be the second derivative of 11*b**7/840 + 7*b**4/12 + 7*b**3/3 + 12*b. Let r(w) be the second derivative of o(w). Differentiate r(z) wrt z.
33*z**2
Let v(u) = 266*u**4 + 5*u**2 - 5*u + 349. Let c(l) = 2*l**4 - l**2 + l. Let x(j) = 5*c(j) + v(j). Differentiate x(n) wrt n.
1104*n**3
Let i(r) be the first derivative of 12*r**3 + r**2/2 + 84*r + 23. Find the first derivative of i(s) wrt s.
72*s + 1
Let k(w) = w + 1. Let v(r) be the first derivative of -7*r**4/4 + 5*r**2/2 + 9*r + 40. Let x(u) = -10*k(u) + 2*v(u). Differentiate x(o) wrt o.
-42*o**2
Let f(o) be the first derivative of 0*o**3 - 26*o - 21/4*o**4 + 19 + 0*o**2. Differentiate f(y) wrt y.
-63*y**2
Let x(a) be the first derivative of 41*a**5/120 + 37*a**4/24 - 4*a**3/3 - 30. Let m(h) be the third derivative of x(h). Find the first derivative of m(p) wrt p.
41
Let n(c) = c**3 - 11*c**2 - c + 15. Let a be n(11). Let q(r) = r**2 - 4*r. Let h be q(a). Differentiate 5*p - 1 + h + 0*p - 7*p wrt p.
-2
Let m(w) = 87*w - 49. Let a(q) = q + 5. Let y(r) = 28*a(r) - 4*m(r). Differentiate y(b) with respect to b.
-320
Suppose 0*k - 5*k + 40 = 0. Find the third derivative of 0*r**6 + 3*r**6 - 6*r**6 - k*r**2 + 9*r**2 wrt r.
-360*r**3
Let y(n) = -n**2 + 2*n + 1. Let p(c) = -411*c**2 - 10*c - 84. Let j(s) = p(s) + 4*y(s). What is the second derivative of j(h) wrt h?
-830
Find the first derivative of -38 + n**2 - 61 + 0*n**2 - 2*n**2 - 24*n**3 wrt n.
-72*n**2 - 2*n
What is the second derivative of -821*u**4 + 637*u**4 + 21 - u**3 - 8 + 4*u wrt u?
-2208*u**2 - 6*u
Suppose -80 = -8*l - 8*l. Let w(f) be the second derivative of 0*f**3 - 2/3*f**4 - 5/2*f**2 + 0 + l*f. Find the first derivative of w(k) wrt k.
-16*k
Let x(b) = -8*b**2 - 23*b + 6. Suppose 0*d - 30 = 5*d. Let s(t) = 8*t**2 + 24*t - 7. Let p(f) = d*s(f) - 7*x(f). What is the second derivative of p(z) wrt z?
16
Let b(y) be the second derivative of 0 - 7/6*y**3 + 1/4*y**4 + 0*y**2 + 11*y. Find the second derivative of b(k) wrt k.
6
Let a be 0*(2 + -1)/(-1). Suppose -4*t + 0*t + 72 = a. Find the first derivative of -t + u + 17 - u + 4*u**3 wrt u.
12*u**2
What is the third derivative of 705*f**5 - 3168*f + 18 + 5*f**2 + 6337*f - 3169*f wrt f?
42300*f**2
Suppose -m + 2 + 1 = 0. What is the derivative of -9*z**3 - 19 - 6*z**m + 25 wrt z?
-45*z**2
Let b(l) be the third derivative of -l**8/168 - 119*l**6/60 - 17*l**5/5 - 142*l**2 + 1. Find the third derivative of b(k) wrt k.
-120*k**2 - 1428
Let l = -5 + 5. Suppose 3*f + 0*f = l. Find the second derivative of 2*m + 7*m**4 + f*m - 4*m wrt m.
84*m**2
Let k(w) = -35*w**2 + 30*w + 1004. Let f(s) = -33*s**2 + 26*s + 1003. Let d(x) = -6*f(x) + 5*k(x). What is the first derivative of d(b) wrt b?
46*b - 6
Find the third derivative of a**4 - 33*a**2 + 7*a**4 + 43*a**2 - 2*a**3 - 29*a**2 - 166*a**2 wrt a.
192*a - 12
What is the second derivative of x - 58*x**4 - 44*x**2 - 16*x**4 + 44*x**2 + 46 wrt x?
-888*x**2
Let d(o) = 159*o**5 + 4*o**3 + 157*o**2 - 8*o + 4. Let h(q) = -2*q**5 - q**3 + 2*q - 1. Let a(x) = -d(x) - 4*h(x). Find the third derivative of a(k) wrt k.
-9060*k**2
Let u(i) = -6*i**3 - 52*i - 7. Let z(y) = -4*y**3 - 35*y - 5. Suppose 0 = 2*d - 5 - 9. Let j(k) = d*z(k) - 5*u(k). What is the second derivative of j(p) wrt p?
12*p
Let l(n) be the second derivative of -31*n**6/15 - n**4/6 - 61*n**3/6 + 35*n. What is the third derivative of l(t) wrt t?
-1488*t
Let j(w) be the second derivative of 2*w**6/3 + w**5/10 + 17*w**4/6 + 51*w + 2. What is the third derivative of j(t) wrt t?
480*t + 12
Let c(n) = -11*n**3 + 532*n**2 - 7*n + 1073. Let k(x) = 5*x**3 - 269*x**2 + 3*x - 536. Let u(r) = 3*c(r) + 7*k(r). Find the first derivative of u(b) wrt b.
6*b**2 - 574*b
Let g(h) be the third derivative of 0*h + 0*h**4 - 1/5*h**5 + 0 - 17/120*h**6 + 19*h**2 + 0*h**3. Find the third derivative of g(z) wrt z.
-102
Find the third derivative of 2 + 15*b**3 + 143*b**2 - 39*b**2 - 2 + 1 - 95*b**3 wrt b.
-480
Let q(p) = -p**3 - 11*p**2 + 3*p + 19. Let m be q(-11). Let d be 14 + m - (-1 + -3). What is the derivative of -1 - 116*r + 116*r - 4 + r**d wrt r?
4*r**3
Let v(a) be the second derivative of 841*a**7/42 + 520*a**3/3 - 9*a - 8. Find the second derivative of v(u) wrt u.
16820*u**3
What is the second derivative of 655*l**4 + 3*l**2 + 22*l**2 + 152*l + 220*l - 647*l**4 wrt l?
96*l**2 + 50
Let w be -3 + 5 + (-1)/(-1). Differentiate -2*l**3 + 7*l**3 + 0*l**w + 1 - 4 with respect to l.
15*l**2
Suppose 4*o + 15 = -2*q + q, -2*q - 3*o - 10 = 0. Find the third derivative of 4*k**4 - 8*k**2 + 1 + 3*k**4 - q wrt k.
168*k
Let r(w) be the first derivative of -w**8/70 + w**5/10 + 44*w**3/3 - 26. Let a(h) be the third derivative of r(h). Find the second derivative of a(j) wrt j.
-288*j**2
Let d(m) be the first derivative of -24*m**7/7 + m**6/2 + 4*m**3 - m + 139. What is the third derivative of d(x) wrt x?
-2880*x**3 + 180*x**2
Let i(g) be the third derivative of 0*g - 13*g**2 - 1/10*g**5 + 0*g**3 - 3/40*g**6 + 0 + 0*g**4. Find the third derivative of i(s) wrt s.
-54
Let o be 2/((-20)/(-25))*14. Let i be 69/21 + (-10)/o. Find the second derivative of -8 - 6*f + 13*f**i + 8 wrt f.
78*f
Let i(u) be the second derivative of 4/3*u**4 - 3*u - 7/6*u**3 + 0 + 0*u**2. Find the second derivative of i(j) wrt j.
32
Let k(u) = -u. Let b(x) = -13*x - 14. Let w(i) = -b(i) - 5*k(i). Let n(c) = -35*c - 28. Let v(m) = 3*n(m) + 5*w(m). Differentiate v(l) wrt l.
-15
Let p(q) be the second derivative of 0*q**4 + 0*q**5 - 5/3*q**3 + 5/7*q**7 + 0*q**2 + 0 + 0*q**6 + 6*q. What is the second derivative of p(g) wrt g?
600*g**3
Let b be (6/(-12))/((-1)/4). Find the third derivative of -u**2 + 46*u**6 - 41*u**6 - 20*u**6 + 2*u**b wrt u.
-1800*u**3
Find the first derivative of -5*q - 63 - 141 + 2*q + 14*q**2 wrt q.
28*q - 3
Suppose 0 = -3*i - 19 - 5. Let y(w) = w**3 + 8*w**2 + 2*w + 19. Let p be y(i). What is the third derivative of 46*c**2 - 4*c**4 + c**p - c**3 - 43*c**2 wrt c?
-96*c
Let o(l) be the first derivative of 551*l**6/6 + 391*l**2/2 - 196. Find the second derivative of o(p) wrt p.
11020*p**3
Let h = -20 + 20. Suppose 8 = b - h*b. What is the second derivative of -22*j - b*j**3 + 13*j - 2*j**3 wrt j?
-60*j
Let h(x) = -151*x**2 + 288*x - 2. Let a(i) = 2418*i**2 - 4608*i + 33. Let r(l) = -2*a(l) - 33*h(l). Find the second derivative of r(o) wrt o.
294
Let s(v) = v**2 + 7*v - 6. Let b be s(-7). Let l be 2/(-4*1/b). Find the third derivative of -64 + 4*o**3 + 64 - l*o**2 wrt o.
24
Let f(n) be the second derivative of 101*n**6/30 + n**4/4 - 20*n**3/3 + 43*n - 1. What is the third derivative of f(a) wrt a?
2424*a
Let h(g) be the second derivative of 0*g**2 + 0 - 6*g + 0*g**3 + 7/4*g**4 + 11/20*g**5. Find the third derivative of h(x) wrt x.
66
Let q(w) = -113*w**3 - 202*w**2 + 5*w + 5. Let f(y) = -57*y**3 - 102*y**2 + 2*y + 2. Let m(a) = -5*f(a) + 2*q(a). What is the third derivativ