 330*b**2 - 121. Let y(c) = -121*a(c) + 4*d(c). What is the third derivative of y(m) wrt m?
264*m
Let t(n) = 5*n**4 + 2*n**3. Let a(r) = 6*r**4 + 3 - 3 + r**2 + 7*r**3 - 4*r**3. Let u(k) = -2*a(k) + 3*t(k). What is the third derivative of u(x) wrt x?
72*x
Let j(k) be the second derivative of -k**10/30240 - k**7/1260 + k**4/4 - 2*k. Let z(o) be the third derivative of j(o). Find the third derivative of z(u) wrt u.
-60*u**2
Let x(n) be the second derivative of 0*n**4 + 0 - 4*n + 0*n**5 + 0*n**3 - n**2 - 1/6*n**6. What is the derivative of x(v) wrt v?
-20*v**3
Find the third derivative of 13*w**4 - 11*w**4 - 34*w**4 - 105*w**2 + 45*w**2 wrt w.
-768*w
Let i(k) be the first derivative of -k**4/2 + k**3/3 + 5. What is the third derivative of i(f) wrt f?
-12
Let t(l) = -l**2 + l. Let g = 5 + -1. Let a(o) = 8*o**2 - 4*o + 2. Let b(c) = g*t(c) + a(c). Find the first derivative of b(s) wrt s.
8*s
Let y be (-2 + 2)/(-3 + 1). Find the first derivative of y - h + 0*h - 6 + 5*h wrt h.
4
Let m(c) be the first derivative of -4*c**6/3 - 4*c**2 - 2. What is the second derivative of m(l) wrt l?
-160*l**3
Let d(v) be the second derivative of 0*v**4 + 0*v**2 + 1/6*v**3 + 0 + 3*v - 1/20*v**5. What is the second derivative of d(c) wrt c?
-6*c
Let a(o) be the second derivative of 21*o**5/20 + 7*o**3/3 - 19*o. Find the second derivative of a(h) wrt h.
126*h
What is the third derivative of 166*l**2 + 4*l**4 + 7*l**4 - 155*l**2 wrt l?
264*l
What is the second derivative of -10*f + 10 - 27 + 17 + 19*f**2 wrt f?
38
What is the second derivative of 19*b + 716*b**4 - 363*b**4 - 366*b**4 wrt b?
-156*b**2
Let u(x) be the second derivative of x**9/5040 + x**6/180 + x**4/3 - 5*x. Let z(a) be the third derivative of u(a). Find the second derivative of z(g) wrt g.
36*g**2
Suppose 6 = 3*d - 4*c, -d - 2 = -2*d - 5*c. What is the first derivative of 4*u**3 + 7*u**d - 2 - 7*u**2 wrt u?
12*u**2
Let d(p) = 3*p**4 - 9*p**2 + 4*p. Let t(b) = -4*b**4 + 10*b**2 - 3*b. Let i(u) = -3*d(u) - 4*t(u). Find the third derivative of i(w) wrt w.
168*w
Let b(g) = -16*g**3 + 2*g**2 - 2*g + 10. Let x(c) = 17*c**3 - 3*c**2 + 3*c - 11. Let d(t) = -3*b(t) - 2*x(t). Differentiate d(z) with respect to z.
42*z**2
Let v(a) be the first derivative of 0*a**4 + 0*a + 2/3*a**6 + 5/3*a**3 + 0*a**5 + 1 + 0*a**2. What is the third derivative of v(l) wrt l?
240*l**2
Let z be (-2)/4*-4 - 0. What is the first derivative of -4*y + 9*y - 2 + 1 - z wrt y?
5
Find the second derivative of -8*x**3 - 5*x - 3*x - 2*x + 0*x wrt x.
-48*x
Let d(y) be the second derivative of y**8/960 - y**6/720 + y**4/4 - 7*y. Let n(p) be the third derivative of d(p). What is the second derivative of n(i) wrt i?
42*i
Let i(f) be the second derivative of f**4/6 - 3*f**2 - 5*f. Differentiate i(h) wrt h.
4*h
Let k be 5 - (-12)/(-8)*2. Find the third derivative of 3*o**4 + 4*o**k - 5*o**2 + 0*o**2 wrt o.
72*o
Let y be 6/(-3 + 9/2). What is the second derivative of 4*k - k**4 - 5*k**2 + 5*k**2 - 4*k**y wrt k?
-60*k**2
Let d = -8 + 11. Suppose 27 = 5*w + 7. What is the second derivative of d*z**4 - 2*z + z - 2*z**w wrt z?
12*z**2
Let a(r) = -r**2 - r - 1. Let k(p) = -10*p**2 - 9*p - 5. Let v(d) = -5*a(d) + k(d). Find the second derivative of v(j) wrt j.
-10
Let o(n) be the third derivative of n**8/48 - n**5/6 + 16*n**2. What is the third derivative of o(s) wrt s?
420*s**2
Let y = 23 + -23. Let i(z) be the second derivative of z**2 + y*z**3 + z - 1/6*z**4 + 0. What is the first derivative of i(a) wrt a?
-4*a
Find the first derivative of 2*m**4 + 122*m**3 - 122*m**3 - 5*m**4 - 9 wrt m.
-12*m**3
Let w(i) be the third derivative of 0*i**6 + 3*i**2 + 1/30*i**5 + 0*i**3 + 0*i**7 + 0 + 5/336*i**8 + 0*i + 0*i**4. What is the third derivative of w(t) wrt t?
300*t**2
Let h(d) be the first derivative of 1/3*d**3 + 0*d**2 + 0*d + 0*d**4 + 2 + 0*d**6 - 3/7*d**7 + 0*d**5. Find the third derivative of h(y) wrt y.
-360*y**3
Let q(h) be the first derivative of -h**6/40 - h**4/8 + h**2 - 3. Let j(m) be the second derivative of q(m). Find the second derivative of j(n) wrt n.
-18*n
Let r = 15 + -11. Find the second derivative of -w**r + 7*w**4 - 8*w**4 + 5*w wrt w.
-24*w**2
Let f = -11 + 13. What is the third derivative of -3*k**f - 11 + k**2 + 11 + 3*k**3 wrt k?
18
Let x be 6/4 - 1/(-2). Differentiate 3*k**3 + 2*k**2 + 3 - k**x - k**2 with respect to k.
9*k**2
Let f be 4/7 - 8/14. Let l(u) be the third derivative of 0*u**3 + 0*u - 1/24*u**4 - 1/30*u**5 - 2*u**2 + f. Find the second derivative of l(v) wrt v.
-4
Let r = -2 + 7. What is the third derivative of 3*i**6 + 2*i**5 - i**5 - i**r + 3*i**2 wrt i?
360*i**3
Let c(u) be the first derivative of -2/5*u**5 + 4 + 0*u**4 + 3*u + 0*u**3 + 0*u**2. What is the first derivative of c(r) wrt r?
-8*r**3
Let x(b) = 18*b**5 - 9*b**4 + 22*b. Let n(q) = -9*q**5 + 4*q**4 - 11*q. Let l(w) = -9*n(w) - 4*x(w). Find the second derivative of l(g) wrt g.
180*g**3
Let l(a) be the second derivative of 0*a**2 + 1/10*a**6 + 0*a**3 + 0*a**5 + 0 + 1/3*a**4 - 4*a. What is the third derivative of l(n) wrt n?
72*n
Suppose 3*f + 6 = -3*a, -2*f - f + 10 = -a. Let d be (-4)/3*3/(-2). Find the third derivative of -f*i**d - 3*i**3 + 7*i**3 - 3*i**3 wrt i.
6
What is the second derivative of 1216 - 1216 + 4*v**3 - v**3 + 13*v**2 + 50*v wrt v?
18*v + 26
Let o(y) be the second derivative of y**9/2520 + y**6/144 - y**4/6 + 4*y. Let n(q) be the third derivative of o(q). Find the second derivative of n(w) wrt w.
72*w**2
Let m = -11 + 13. What is the third derivative of -3*u**2 - 8*u**5 - 22*u**3 - 3*u**m + 22*u**3 wrt u?
-480*u**2
Let m(w) = 10*w**3 - 4*w + 7. Let g(f) = 10*f**3 - 5*f + 6. Let j(q) = 4*g(q) - 5*m(q). Differentiate j(i) with respect to i.
-30*i**2
Let a(q) be the third derivative of q**6/40 - q**3 - 16*q**2. Differentiate a(r) wrt r.
9*r**2
Let w(q) = 1. Let u(s) = -3*s + 15. Let g(m) = -u(m) - w(m). What is the first derivative of g(f) wrt f?
3
Let t(g) = 15*g**2 + 4*g + 19. Let o(l) = 14*l**2 + 3*l + 19. Let i(m) = -4*o(m) + 3*t(m). Differentiate i(c) with respect to c.
-22*c
Let n be 1/(1/1*-1). Let l be 2/(2/(-6) - n). What is the third derivative of -4*w**l - 4*w**2 + 7*w**2 + 7*w**3 wrt w?
18
Differentiate 25 - 4 + 11*l**2 - 3*l + 3*l with respect to l.
22*l
Suppose 59 = 4*r + 11. Find the second derivative of 2*j - 9*j - 4*j**3 + r*j**3 wrt j.
48*j
Let r(p) be the first derivative of -3*p**4/2 - 4*p**3/3 + 7. What is the third derivative of r(q) wrt q?
-36
Find the first derivative of 5 + 14 - 2*w + 1 wrt w.
-2
Let y(u) = -u**2 + 2*u + 8. Let z be (-6)/8*(4 - 0). Let m(b) = -b - 3. Let x(o) = z*y(o) - 8*m(o). Find the second derivative of x(i) wrt i.
6
Let l(h) = 5*h**4 + 4*h**3 + 9*h - 4. Let c(d) = -4*d**4 - 3*d**3 - 8*d + 3. Let u(y) = -4*c(y) - 3*l(y). What is the second derivative of u(k) wrt k?
12*k**2
Differentiate -9 - v**4 - 6 - 8 + 9*v - 11*v wrt v.
-4*v**3 - 2
What is the third derivative of 3*t**2 - 4*t**2 - 10*t**5 + 7*t**2 wrt t?
-600*t**2
Let a(n) be the first derivative of 3*n**2/2 - 4*n - 6. What is the derivative of a(f) wrt f?
3
Let s(r) be the second derivative of r**3 - 4*r**2 - r. What is the derivative of s(f) wrt f?
6
Suppose 2 = 2*m - 8. What is the derivative of 1 - 7 - m + 2 + 10*k**3 wrt k?
30*k**2
Suppose 14 = 2*c + 4. What is the second derivative of 3*v**5 + 2*v + 0*v**c - 2*v + 2*v wrt v?
60*v**3
Suppose 13 = 5*z - 2. What is the derivative of 1 - 2*u + 2*u + z*u - 3 wrt u?
3
Let o(z) be the third derivative of z**7/35 - z**3 + 7*z**2. Differentiate o(g) with respect to g.
24*g**3
What is the third derivative of -18*v**3 - 18*v**3 + 17*v**3 - 10*v**2 wrt v?
-114
What is the first derivative of -55*h**2 - h**3 - 12 + 55*h**2 wrt h?
-3*h**2
Let q(s) be the third derivative of 17*s**6/60 + 11*s**5/20 + 35*s**2. Find the third derivative of q(d) wrt d.
204
Let w(s) = -3*s**3 + 3*s**2 - 15*s - 15. Let z(y) = -y**2 - y - 1. Let g(n) = -w(n) + 15*z(n). Find the third derivative of g(j) wrt j.
18
Let d(z) be the second derivative of -z**6/180 + z**5/120 - z**3/3 + z. Let c(g) be the second derivative of d(g). What is the second derivative of c(q) wrt q?
-4
Let l(m) be the first derivative of -5*m**4/12 - 3*m**3/2 - 3*m - 4. Let t(w) be the first derivative of l(w). What is the second derivative of t(k) wrt k?