= 4*m + i. Find the second derivative of 3*l**a - 3*l**3 + 3*l**4 + m*l wrt l.
36*l**2
Let i(d) be the first derivative of -d**6 + 2*d**3 + 4. Find the third derivative of i(v) wrt v.
-360*v**2
Let a(z) = z**3 + 8*z**2 + 5*z - 2. Let g be a(-7). What is the first derivative of -3 + g + 0 - 15*w**2 + 5*w**2 wrt w?
-20*w
Let z(h) = h**2 + 5*h - 3. Let w be z(-6). Let s be ((-3)/2 - -3)*2. Find the second derivative of 3*q**s + 3*q**3 - q - 5*q**w wrt q.
6*q
Let z(v) be the third derivative of -v**8/112 + 13*v**4/24 + 5*v**2. Find the second derivative of z(u) wrt u.
-60*u**3
What is the derivative of 5*q**2 - 6*q**2 - 4*q**4 - 4 + q**2 wrt q?
-16*q**3
Let c(l) be the first derivative of -8/3*l**3 + 0*l + 7 + l**4 + 0*l**2. What is the third derivative of c(w) wrt w?
24
Suppose 2*o - 8 = -0*o. Find the second derivative of 3*s - 2*s**4 - 5*s**o + s**4 + 3*s**4 wrt s.
-36*s**2
Let f(k) be the third derivative of k**9/504 + k**6/72 + k**3 - 4*k**2. Let u(a) be the first derivative of f(a). What is the third derivative of u(s) wrt s?
360*s**2
Let z(c) = 3*c**3 - 6*c**2 + 11. Let r(d) = -6*d**3 + 11*d**2 - 21. Let b(n) = -6*r(n) - 11*z(n). Differentiate b(w) wrt w.
9*w**2
Suppose 4 = 4*d - f - 18, 0 = f + 2. What is the third derivative of d*g**4 - 3*g**2 + 2*g**3 - g**3 - g**3 wrt g?
120*g
Let c(o) be the second derivative of 0 + 3/10*o**5 - 6*o + 5/6*o**3 + 0*o**2 + 0*o**4. What is the second derivative of c(y) wrt y?
36*y
Suppose 0 = 3*s + 22 + 2. Let x(c) = -c**3 - 7*c**2 + 8*c + 3. Let v be x(s). What is the first derivative of v*q**4 - 2*q**4 - q**4 - q**4 + 3 wrt q?
-4*q**3
Suppose -x - 2*x = 15. Let d = x + 7. Find the second derivative of q + 0*q - d*q**2 + q**2 + q wrt q.
-2
Let g(x) be the first derivative of -6*x**4 - 8*x**3/3 - 7. Find the third derivative of g(a) wrt a.
-144
What is the third derivative of 3*n**2 + 21*n**6 - 62*n**6 + 32*n**6 wrt n?
-1080*n**3
Let r(o) = -23*o**3 - 23*o**2 - 7*o + 7. Let p(n) = -8*n**3 - 8*n**2 - 2*n + 2. Let a(u) = -14*p(u) + 4*r(u). What is the third derivative of a(s) wrt s?
120
Let x = -59 + 83. Suppose u + x = 5*u. Find the second derivative of 2*f**5 + 0*f + 3*f**5 - 4*f - u*f**5 wrt f.
-20*f**3
Let w(u) be the third derivative of 13*u**4/8 - 25*u**3/6 - 40*u**2. Differentiate w(f) wrt f.
39
Let i(f) = 3*f**2 + 10*f + 3. Suppose -2 - 1 = -c. Let s(o) = -7*o**2 - 20*o - 5. Let y(w) = c*s(w) + 5*i(w). Find the second derivative of y(j) wrt j.
-12
Find the third derivative of 3*k**6 + 17*k**2 - 34*k**2 + 15*k**6 wrt k.
2160*k**3
Let r(j) be the second derivative of -47*j**6/30 - 14*j**3/3 + 44*j. Find the second derivative of r(t) wrt t.
-564*t**2
What is the third derivative of 9*z**2 - 2*z**4 + 2*z**4 + 2*z**4 wrt z?
48*z
Let g = 8 + -6. Suppose 10*z - 5*z = 10. Find the first derivative of -6 + g*l**2 + z + l**2 wrt l.
6*l
Let n(d) = d + 1. Let w(j) = -5*j - 4. Let z(u) = 22*n(u) + 6*w(u). Differentiate z(g) wrt g.
-8
Let s(d) be the first derivative of d**5/30 - d**4/8 + 5*d**2/2 + 1. Let u(g) be the second derivative of s(g). What is the second derivative of u(l) wrt l?
4
Let g(o) be the third derivative of -13*o**7/105 + 19*o**5/60 + 26*o**2. What is the third derivative of g(s) wrt s?
-624*s
Let y(b) = -2*b - 9. Let s be y(-7). Suppose 3*f - 19 = 4*i, -s = f + i - 2. Differentiate 8*o - 8*o - o**4 - f wrt o.
-4*o**3
Let t(f) be the third derivative of 7*f**2 + 0*f**3 + 0*f**4 + 3/40*f**6 + 0 + 0*f + 1/12*f**5. What is the third derivative of t(r) wrt r?
54
Suppose 5 = 4*v - 11. What is the third derivative of v*s**6 + 3*s**4 - 3*s**4 - s**2 - 3*s**6 wrt s?
120*s**3
Suppose -3*v + y = 16, -43 = 4*v + 5*y - 9. Let l be (16/(-6))/(2/v). Find the third derivative of -8*p**4 - p**6 + l*p**4 - p**2 wrt p.
-120*p**3
Let b(j) = 4*j**4 - 2*j**3 + 2*j + 2. Let f(y) = -3*y**4 + 3*y**3 - 2*y - 3. Let g(x) = -3*b(x) - 2*f(x). Find the second derivative of g(m) wrt m.
-72*m**2
Let h(b) = -3*b**3 - 5*b**2 + 9. Let t(f) = -f**3 - 2*f**2 + 5. Let n(p) = -2*h(p) + 5*t(p). Differentiate n(u) with respect to u.
3*u**2
Let j(s) be the second derivative of 19*s**3/6 - 4*s**2 - 8*s. Differentiate j(k) wrt k.
19
Let r(q) = -q**2 - 7*q - 6. Let p be r(-6). Let v be (-5 - p)*(-6)/10. What is the second derivative of -v*k + 0*k**5 + 2*k**5 + k wrt k?
40*k**3
Let r = -14 - -38. Let l(z) = -40*z**4 - 4*z**2 - 24. Let b(s) = -8*s**4 - s**2 - 5. Let h(k) = r*b(k) - 5*l(k). What is the third derivative of h(n) wrt n?
192*n
What is the first derivative of -2*f + 6 - 6*f - 1 - 2 wrt f?
-8
Suppose 4*j = 3 + 9. Suppose 0 = -4*d - j + 23. What is the second derivative of -v**2 - 6*v + d*v + 2*v**2 wrt v?
2
What is the first derivative of 32*o**2 - 8*o**2 + 2*o - 2*o + 38 wrt o?
48*o
Let k(j) = 25*j**6 + 4*j**2 + 5*j + 5. Let n(s) = -s**6 + s + 1. Let p(q) = -k(q) + 5*n(q). What is the third derivative of p(b) wrt b?
-3600*b**3
Let x(k) = -3*k**2 - 5*k - 10. Let q(c) = 0*c - 3*c - 21*c**2 + 20*c**2 - 5. Let v(y) = 5*q(y) - 3*x(y). Find the first derivative of v(t) wrt t.
8*t
Differentiate 29*f**4 + 43 + 24 - 27*f**4 with respect to f.
8*f**3
Let i(c) be the second derivative of -c**8/1120 + c**5/15 - 2*c**4/3 + 2*c. Let v(z) be the third derivative of i(z). Find the first derivative of v(r) wrt r.
-18*r**2
Let f(x) be the first derivative of -x**5/4 - x**3/3 + 4*x + 2. Let l(u) be the first derivative of f(u). Find the second derivative of l(a) wrt a.
-30*a
Let k(v) be the second derivative of v**8/14 + v**4/3 - 12*v. What is the third derivative of k(s) wrt s?
480*s**3
Suppose -5*p + 0*p = 55. Let x = -8 - p. Differentiate 1 + 2 - 1 + 2*r**x with respect to r.
6*r**2
Let p(a) be the second derivative of 0*a**2 + 0 + 5/6*a**3 + 0*a**4 + 3/10*a**6 + 0*a**5 + 9*a. Find the second derivative of p(t) wrt t.
108*t**2
Suppose -3*z = t, 5*t = z + 2*z. Find the second derivative of x - 6*x + 6*x**3 + z*x - 2*x**3 wrt x.
24*x
Suppose -82 = 3*m - 6*m + 5*h, 3*m + 4*h = 118. What is the second derivative of -3*q - 41*q**4 - 5*q - q + m*q**4 wrt q?
-84*q**2
Let z(d) = -d**2 - 13*d. Suppose 0 = 11*v - 6*v + 65. Let o be z(v). What is the first derivative of -4*g**3 + o*g**3 + 2 + 4 - 3 wrt g?
-12*g**2
Let x(y) = -3*y - 10. Let p(o) = o + 1. Let j be -6 + 3 - (-2 + 0). Let a(n) = j*x(n) - 6*p(n). Differentiate a(r) wrt r.
-3
Let c(n) be the third derivative of 19*n**4/12 + 19*n**3/6 + 32*n**2. Find the first derivative of c(h) wrt h.
38
Let o(y) be the third derivative of -y**9/504 - 3*y**5/20 - 3*y**2. Find the third derivative of o(t) wrt t.
-120*t**3
Find the first derivative of 18 - 9*f + 14*f - 4*f wrt f.
1
Let n = -7 - -13. Differentiate -5*s**2 - 3 + 0 + n - 4 with respect to s.
-10*s
Let p(q) = 5*q**2 + 5. Suppose 2*d - 5*b = 23, 2*d + 3*d = -b + 17. Let f(j) = -j**2 - 1. Let m(y) = d*f(y) + p(y). Differentiate m(g) with respect to g.
2*g
Let g = -14 - -20. Suppose 6*h = h + 10. What is the third derivative of -3*i**g + i**h + i**2 + 0*i**2 wrt i?
-360*i**3
Let n(y) be the first derivative of 7*y**2/2 - 4*y - 11. What is the derivative of n(d) wrt d?
7
Let k(f) = -f**3 + 7*f**2 - 6*f + 6. Let t be k(6). What is the third derivative of 3*s**6 + 0*s**6 + 4*s**2 + 0*s**6 + 4*s**t wrt s?
840*s**3
Let t(s) be the first derivative of s**4/2 + 7*s**3/3 + 3. Find the third derivative of t(f) wrt f.
12
Let i(x) be the third derivative of -7*x**6/120 - 11*x**4/24 - 6*x**2. Find the second derivative of i(m) wrt m.
-42*m
Let y(m) = m**2 - m - 1. Let i(c) = -2*c**3 - 8*c**2 + 8*c + 4. Let v(o) = -i(o) - 8*y(o). What is the first derivative of v(j) wrt j?
6*j**2
Suppose 2*v = -4*a - v + 45, 2*v = -2*a + 22. Differentiate -4*u**2 - a*u + 12*u + 2 wrt u.
-8*u
Find the third derivative of -5*f**5 + 2*f**2 - 21*f**4 + 48*f**5 + 21*f**4 wrt f.
2580*f**2
Let x(c) = 3*c**5 - 8*c**2 - 5*c. Let m(t) = 4*t**5 - 9*t**2 - 6*t. Let d(l) = -5*m(l) + 6*x(l). What is the third derivative of d(p) wrt p?
-120*p**2
Let s(c) be the second derivative of 7*c**4/12 + 17*c**3/6 + 11*c. Find the second derivative of s(j) wrt j.
14
Let q(g) be the first derivative of g**7/42 + 4*g**3/3 + g - 7. Let c(u) be the first derivative of q(u). What is the second derivative of c(f) wrt f?
20*f**3
Let s(u) = 1. Let z(b) = 2*b + 6. Let p(i) = 24*s(i) - 3*z(i). What is the derivati