et r(f) be the third derivative of z(f). Find the third derivative of r(b) wrt b.
-120*b
Let v(b) = -15*b**4 - 8*b**2 - 12. Let m(w) = -32 - w**2 - 5*w**4 - 2*w**2 + 28 + 0*w**2. Let s(y) = -8*m(y) + 3*v(y). Differentiate s(z) wrt z.
-20*z**3
Let c(f) = 2*f**2 - 3*f + 3. Let i be c(2). Find the third derivative of -2*o**3 + 4*o**3 - 2*o**2 + i*o**2 wrt o.
12
Let l(y) be the second derivative of -4*y**6/15 + 9*y**2/2 + 4*y. What is the derivative of l(c) wrt c?
-32*c**3
What is the derivative of 13*v - 4 - 7 - 17*v wrt v?
-4
Let a(p) be the first derivative of -3*p**5/20 - p**3/2 - 4*p + 4. Let c(n) be the first derivative of a(n). What is the second derivative of c(d) wrt d?
-18*d
What is the first derivative of -186*v**3 + 30 + 86*v**3 - 10 + 77*v**3 wrt v?
-69*v**2
Let l(p) = -p**3 - 7*p**2 - 8*p - 9. Let j be l(-6). Suppose j*m - 6 = -0*m. What is the first derivative of -1 + 2*z**2 + z**2 - 2*z**m + 0 wrt z?
2*z
Suppose -3*j + 6 = -0. Differentiate 1 - 2*z**2 + 3*z**j - 5 + 3 with respect to z.
2*z
Let r(c) be the first derivative of -13*c**7/7 + 4*c**3 + 4. What is the third derivative of r(w) wrt w?
-1560*w**3
Suppose 3*t - 7 - 2 = 0. Suppose -2*g = -t*n + 5, 5*n - n + 4*g - 40 = 0. Find the third derivative of 4*i**4 - 2*i**2 + 2*i**n - 4*i**4 wrt i.
120*i**2
Let a(m) be the second derivative of -4*m + 1/3*m**4 + 0 + 2*m**2 + 0*m**3. Differentiate a(k) with respect to k.
8*k
Let x(g) be the second derivative of 1/6*g**4 + 0*g**2 - 7*g + 0*g**7 + 0*g**6 + 0*g**5 + 0 - 5/56*g**8 + 0*g**3. What is the third derivative of x(i) wrt i?
-600*i**3
What is the third derivative of -g**4 - g**2 - g**2 + 3*g**4 wrt g?
48*g
Suppose p = -2*n - 3*n - 4, -5*n = 10. Suppose g + 8 = 4*v - p, 6 = 5*g - v. Find the second derivative of c**3 - 5*c**g + 5*c**2 + 2*c wrt c.
6*c
Let v(s) = -4*s**2. Let t(m) = 12*m**2 - m. Let z(w) = 4*t(w) + 14*v(w). What is the second derivative of z(u) wrt u?
-16
Let h(n) be the second derivative of 0*n**2 - 3/20*n**5 + 6*n + 0*n**3 + 3/4*n**4 + 0. Find the third derivative of h(l) wrt l.
-18
Find the third derivative of -5*n**2 + 6*n**5 + 0*n**2 - 10*n**5 - 5*n**2 wrt n.
-240*n**2
Let f be 7 - ((-1 - -1) + 4). What is the second derivative of 1 - 1 + 5*z**f - 3*z**3 + 5*z wrt z?
12*z
What is the third derivative of 9*j**2 + 5*j**3 - 8*j**3 - 6*j**6 + 3*j**3 wrt j?
-720*j**3
Let p(a) be the second derivative of -13*a**5/20 + 2*a**4/3 + 10*a. What is the third derivative of p(i) wrt i?
-78
Let y(i) = i**2 + i - 1. Let j(q) = -11*q**2 - 2*q + 18. Let l(n) = -j(n) - 2*y(n). Differentiate l(u) with respect to u.
18*u
What is the third derivative of -4*k**3 - 3*k**3 + 4*k**3 - 2*k**2 - 6*k**2 wrt k?
-18
Let l be 2 + -4 + 2 + 2. Find the second derivative of 0*w**2 + 0*w**2 + 5*w - 6*w + l*w**3 wrt w.
12*w
Suppose 0 + 4 = 4*b. Let x be 2 + (-1)/1 + b. Differentiate -6*g**x + 2*g**3 + 3*g**2 + 3*g**2 + 2 with respect to g.
6*g**2
Let o(w) be the third derivative of -w**5/10 - w**3/3 - 5*w**2. What is the derivative of o(k) wrt k?
-12*k
Let i(c) be the second derivative of -3*c**5/5 + 2*c**4/3 + 10*c. What is the third derivative of i(u) wrt u?
-72
What is the derivative of 76*g - 11 + 24*g**2 - 76*g wrt g?
48*g
Suppose -2*z = z + 2*m - 8, 2*z - 2*m = 2. Suppose -z*v = 3*v. What is the third derivative of 7*w**6 + 0*w**2 + v*w**2 - 5*w**6 - 3*w**2 wrt w?
240*w**3
Let h be (-2 + -2 + 2)*-1. Find the third derivative of d**6 + 3*d**2 + 2*d**2 - 2*d**6 - 4*d**h wrt d.
-120*d**3
Let z(a) = 33*a**4 + 5*a**3 - 9*a**2 - 5*a + 5. Let q(p) = p**3 + p**2 - p + 1. Let i(j) = -5*q(j) + z(j). Find the third derivative of i(f) wrt f.
792*f
Find the second derivative of c**3 - c**3 + 0*c + 2*c - 4*c**4 wrt c.
-48*c**2
Let u(s) be the third derivative of -s**8/1680 - s**4/24 - s**3/3 - 2*s**2. Let b(c) be the first derivative of u(c). Differentiate b(t) wrt t.
-4*t**3
What is the second derivative of 47*d**4 + 5*d**4 - 27*d - 36*d wrt d?
624*d**2
Let j(b) = 32*b**3 - 8*b**2 - 6. Let f(g) = -g**3 + 1. Let q(r) = -6*f(r) - j(r). What is the third derivative of q(m) wrt m?
-156
Let t(k) = -k**3 + 5*k**2 + 6*k + 4. Let c be t(6). Suppose 3*l + c = 4*l. What is the first derivative of -3 + 3 - 4 + 1 - 3*q**l wrt q?
-12*q**3
Let c(l) = 15*l**3 - 6*l**2 + 6*l - 23. Let v(j) = -31*j**3 + 13*j**2 - 13*j + 46. Let s(z) = -13*c(z) - 6*v(z). Find the first derivative of s(i) wrt i.
-27*i**2
Let c(v) = 10*v**2 - 1. Suppose 0*h + 3*h - 3 = 0. Let t be c(h). Find the third derivative of -11*a**5 + 3*a**2 + 0*a**2 + t*a**5 wrt a.
-120*a**2
Let q(s) = s**2 - 13*s + 11. Let z be q(13). Find the second derivative of -2*h**3 + 6*h - 11*h + z*h wrt h.
-12*h
Let w(m) be the first derivative of m**4/2 - 5*m + 7. What is the derivative of w(j) wrt j?
6*j**2
Let i(z) = 10*z - 55. Let y(q) = -20*q + 109. Let w(v) = -5*i(v) - 3*y(v). What is the first derivative of w(p) wrt p?
10
Let k(g) be the third derivative of -3*g**6/40 - 11*g**3/6 + 6*g**2. Differentiate k(l) wrt l.
-27*l**2
Let q(d) be the first derivative of d**6/3 + 4*d**5 + 44*d**3/3 - 5. What is the third derivative of q(t) wrt t?
120*t**2 + 480*t
Let s(c) be the first derivative of 0*c**2 + 0*c**4 - 1 + 1/5*c**5 + 0*c**3 - 3*c. What is the first derivative of s(d) wrt d?
4*d**3
Let u(k) be the second derivative of -k**5/20 + 10*k**3/3 + 3*k**2 - 41*k. Find the first derivative of u(g) wrt g.
-3*g**2 + 20
Let c(h) = 7*h**3 + 2. Let z(j) = 7*j**3 + 2. Suppose 6 = 2*i + 3*q + q, 0 = -4*q - 4. Let u(k) = i*c(k) - 4*z(k). Differentiate u(a) with respect to a.
21*a**2
What is the third derivative of 3*s**3 + 16*s**2 - s**3 - 2*s**3 - 4*s**4 wrt s?
-96*s
Let g(r) be the first derivative of -13*r**6/2 - 44*r**3/3 - 38. Find the third derivative of g(q) wrt q.
-2340*q**2
Let c(n) = 85*n + 36. Let y(h) = 21*h + 9. Let d(m) = -2*c(m) + 9*y(m). What is the derivative of d(p) wrt p?
19
Let j = -3 + -2. Let f(o) = -5 + 7 - 1. Let z(v) = -v - 4. Let t(g) = j*f(g) - z(g). Differentiate t(p) with respect to p.
1
What is the second derivative of 12*w**2 + 12*w + 225 - 225 wrt w?
24
Suppose -6 = -5*r + 4. Let p = 0 + 3. Differentiate -d + r + 0*d + p*d wrt d.
2
Let z(y) be the first derivative of -17*y**5/5 + 29*y**2/2 + 8. Find the second derivative of z(q) wrt q.
-204*q**2
Let q be 2/(-5) - (-27)/5. What is the third derivative of o**q - 3*o**5 + 6*o**2 - 3*o**2 wrt o?
-120*o**2
Let t be (-3)/(3/(-5)) - 3. Differentiate -5*u - 1 - t + 2*u with respect to u.
-3
Let s = 17 - 6. Suppose -2 + s = 3*c. Find the second derivative of -2*u**c + 4*u**3 + 0*u**3 - 4*u - 3*u**3 wrt u.
-6*u
Let z(f) be the third derivative of -13*f**8/168 + f**6/120 - f**5/6 - f**4/6 + 29*f**2. What is the third derivative of z(h) wrt h?
-1560*h**2 + 6
Let m(q) = q**2 - 22. Let o be m(0). Let g(y) = 4*y**3 - 11*y + 9. Let c(l) = -l + 1. Let u(s) = o*c(s) + 2*g(s). Differentiate u(z) with respect to z.
24*z**2
Let o = 1 - -2. Suppose 4*h = o*h. What is the first derivative of 0 + d + 1 + h wrt d?
1
Let t(l) = 10*l**2 - 2*l + 3. Let s(i) = -i**2 - 1. Let n(d) = 3*s(d) + t(d). Find the second derivative of n(w) wrt w.
14
Let k(i) = -35*i + 22. Let x(s) = -36*s + 22. Let w(p) = 5*k(p) - 4*x(p). Differentiate w(l) with respect to l.
-31
Let j(x) be the first derivative of x**4/4 + 5*x**2/2 + 3. Find the second derivative of j(u) wrt u.
6*u
Suppose 0 = k - 3. What is the second derivative of 3*u**3 + 5*u**k - 2*u - 7*u**3 wrt u?
6*u
Let v(m) be the second derivative of 3*m - 7/2*m**2 + 2/3*m**4 + 0 + 0*m**3. Differentiate v(x) with respect to x.
16*x
Let m be 9/(-21) - (-48)/14. What is the second derivative of -6*q**5 + 15*q**5 + q - 3*q - m*q wrt q?
180*q**3
Let t(s) = -19*s - 5. Let a(w) be the third derivative of 13*w**4/24 + w**3/2 - 4*w**2. Let c(v) = 7*a(v) + 5*t(v). Differentiate c(d) with respect to d.
-4
Let y = -1 + 5. What is the derivative of p**4 - y + 1 + 3 + 4 wrt p?
4*p**3
Let n(i) be the third derivative of -i**6/15 - 7*i**3/3 + 20*i**2. What is the derivative of n(w) wrt w?
-24*w**2
Let i(n) be the third derivative of -n**8/20160 - n**6/72 + n**5/20 + 9*n**2. Let z(r) be the third derivative of i(r). What is the derivative of z(s) wrt s?
-2*s
Let d(g) = g**2 + 8*g. Let q be d(-8). Suppose -4*l + 13 + 7 = q. Differentiate 0 - l*o**3 + 4*o**