 2*s**2 + 2*s**u + 3*s**4 - 2*s**4 wrt s?
24*s
Find the third derivative of -2*r**2 + 7*r**6 - 6*r**6 + r**6 wrt r.
240*r**3
Differentiate 3*v**2 - 10*v - 8*v**2 - 6 + 10*v wrt v.
-10*v
Let v(z) be the first derivative of -18*z**5/5 + 10*z**2 + 5. Find the second derivative of v(b) wrt b.
-216*b**2
Let j(n) = -n**2 + 5. Let o(y) = y**2 + 5*y + 4. Let u be o(-4). Let c be j(u). Find the third derivative of -2*s**c - 3 + 3 + s**2 wrt s.
-120*s**2
Let b(g) be the first derivative of -g**7/840 + 5*g**4/24 - 2*g**3/3 - 4. Let t(p) be the third derivative of b(p). What is the derivative of t(f) wrt f?
-3*f**2
Let x be 2/3 + (-16)/(-12). Let b be 24/(-30)*(-5)/2. Find the second derivative of -x*h**3 + 2*h**2 - h + 2*h**2 - 4*h**b wrt h.
-12*h
Let m(n) = -n**2 + 5*n - 2. Let k be m(4). Let l be 0 + (2 - (-4 - 2)). Find the third derivative of -10*d**4 + k*d**2 - d**2 + l*d**4 wrt d.
-48*d
Let y = 2 + 1. Suppose -5*r - 2*v - 3*v + 5 = 0, 2*r - y*v = 7. What is the third derivative of 4*c**r + 5*c**4 - 4 + 0*c**2 + 4 wrt c?
120*c
Let r(v) be the second derivative of -5*v**4/3 + 5*v**3/3 + 24*v. What is the second derivative of r(m) wrt m?
-40
Suppose 3*c - 3 = 6. Suppose -c*g + 18 = 7*u - 3*u, -2*g - 2 = -2*u. Differentiate 0 - 5*i**g - 1 + 4*i**2 - 2 wrt i.
-2*i
Suppose 4 + 8 = 4*n. What is the third derivative of 3*r**2 - r**2 + r**2 - 5*r**n + 4*r**3 wrt r?
-6
Let f(m) be the first derivative of -67*m**7/7 - 44*m**3/3 - 28. What is the third derivative of f(w) wrt w?
-8040*w**3
Let r(n) = n**2 + 5*n + 6. Let i be r(-4). What is the derivative of i + 0*k - k - 1 - 3 wrt k?
-1
Let s(z) = -11*z**4 + 10. Let w(q) = 1. Let x(n) = -2*s(n) + 18*w(n). What is the first derivative of x(b) wrt b?
88*b**3
Let m be -2*1/4*-1. Let g(k) be the first derivative of 2*k + m*k**2 - 2. Differentiate g(y) with respect to y.
1
Suppose 5*a = 23 - 3. Suppose a*w = 20 - 0. What is the third derivative of -4*o**5 - 2*o**6 + 2*o**2 + 4*o**w wrt o?
-240*o**3
Let h = 98 + -3. Let b = -65 + h. Differentiate b*d + 3 - 30*d - d**4 with respect to d.
-4*d**3
Let p(w) be the first derivative of w**4/8 - 2*w**3/3 - w**2 + 1. Let f(l) be the second derivative of p(l). Differentiate f(x) with respect to x.
3
Let r = 30 + -13. Find the third derivative of 24*a**6 + 2*a**2 - r*a**6 + 7*a**2 wrt a.
840*a**3
Suppose -i - 1 = k, 0*i = -3*k - 2*i. Find the third derivative of -2*a**k + a**2 + a**3 + a**3 - a**2 wrt a.
12
Let u = 5 - 3. What is the third derivative of -3*j**4 + 7*j**4 - 4*j**4 - j**u + 2*j**5 wrt j?
120*j**2
Let c(z) be the second derivative of 0*z**2 + 0*z**5 + 0*z**4 + z + 2/21*z**7 + 0 + 0*z**6 + 1/6*z**3. Find the second derivative of c(b) wrt b.
80*b**3
Let k(y) = -22*y**2 - 5*y + 7. Let w(c) = -23*c**2 - 4*c + 7. Let b(a) = -4*k(a) + 5*w(a). What is the first derivative of b(d) wrt d?
-54*d
Let g(b) = -b**3 + 8*b**2 - 11*b - 4. Let n be g(6). Suppose -4*h + 6 = -h. Differentiate 2*x**2 + n*x**2 - 4*x**2 + 3 - h*x**2 wrt x.
-4*x
Differentiate 22*j**3 + 9 - 7 - 35*j**3 + 9 with respect to j.
-39*j**2
Let b(z) = -z**3 - 6*z**2 + 6*z - 4. Let c be b(-7). Differentiate -c*m - 1 + 4 - 5 with respect to m.
-3
Let t be 12*(-3)/(-18)*8. Suppose 4*o = 4 + t. Find the second derivative of 4*m - 2*m - 4*m**5 + 3*m**o + 0*m**5 wrt m.
-20*m**3
What is the third derivative of 21*i**2 - 2*i**3 - 11*i**3 - i**6 - 2*i**3 + 17*i**3 wrt i?
-120*i**3 + 12
Let w(p) be the first derivative of p**4 - 3*p + 3. Differentiate w(r) with respect to r.
12*r**2
Suppose 5*w = 3*w. Let h(t) be the second derivative of -t + 0 + 1/6*t**3 - 1/12*t**4 + w*t**2. What is the second derivative of h(j) wrt j?
-2
Let w(b) be the third derivative of -17*b**7/105 + 11*b**4/8 + 7*b**2. Find the second derivative of w(q) wrt q.
-408*q**2
Suppose -3*c + 6 = -c. Suppose -c*x = 4*z + 1 - 2, 3*x - 3 = -3*z. What is the third derivative of 0*m**x - m**2 - 2*m**2 + m**3 wrt m?
6
Let l = 11 + -18. Let y = l + 9. Find the second derivative of 7*j - 5*j - y*j**2 + 4 - 4 wrt j.
-4
Let b(s) = 18*s**4 + 8*s**3 - 8*s**2 - 21*s. Let x(v) = -6*v**4 - 3*v**3 + 3*v**2 + 7*v. Let p(m) = 3*b(m) + 8*x(m). Find the second derivative of p(y) wrt y.
72*y**2
Suppose 5*o - s = 13, 3*s + 8 + 1 = 0. Let t(w) be the first derivative of -1 + w - 1/2*w**o. Find the first derivative of t(z) wrt z.
-1
Let k = 16 + -20. Let f(j) = -6*j**3 + 4*j**2 - 3. Let h(x) = x**3 + 0*x**3 + 0*x**3 + 1 - x**2. Let s(y) = k*h(y) - f(y). Differentiate s(c) with respect to c.
6*c**2
Let c(w) = 3*w**2 - 2*w + 8. Let o(z) = 4*z**2 - 3*z + 8. Let v(y) = -3*c(y) + 2*o(y). Differentiate v(t) wrt t.
-2*t
Let q(t) = -8*t**3 + 11*t**2 + 4*t + 4. Let v(z) = 9*z**3 - 10*z**2 - 5*z - 5. Let h(i) = -5*q(i) - 4*v(i). Find the third derivative of h(n) wrt n.
24
Let v(f) be the second derivative of -f**7/6 - 5*f**4/12 - 6*f. Find the third derivative of v(j) wrt j.
-420*j**2
Suppose 4*d = -5*x - 5, 2*x + 19 = 5*x - 2*d. What is the second derivative of 10 - 5 - q**3 - 5 - x*q wrt q?
-6*q
Suppose -2*l - 5 = 3*l + 5*o, -4*o - 12 = 0. Suppose 0*f - f = n - 7, -4*n + 16 = -l*f. Differentiate p + 3 - f*p + 2*p with respect to p.
1
Let l(b) = -30*b - 2. Let s(y) = -15*y - 1. Let w(z) = -6*l(z) + 11*s(z). What is the derivative of w(g) wrt g?
15
What is the second derivative of t**3 + 7*t**3 + 0*t + 2*t + 2*t wrt t?
48*t
Find the third derivative of 45*a**5 + 105*a**2 - 6*a**3 - 75*a**2 + 6*a**3 wrt a.
2700*a**2
Let k(a) be the first derivative of -7*a**4 - 7*a**2 - 6. Find the second derivative of k(f) wrt f.
-168*f
Let i(t) = -2*t**2 + 2*t - 13. Let k(y) = -y. Let v(p) = -i(p) - 2*k(p). What is the first derivative of v(q) wrt q?
4*q
Let z = -27 - -33. Let r(q) be the second derivative of -1/30*q**z + 0*q**3 + 0*q**5 + 0*q**2 - q + 0 + 1/3*q**4. What is the third derivative of r(b) wrt b?
-24*b
Suppose -10 = l - 6*l. What is the third derivative of 5*v**3 - 3*v**3 - 3*v**3 + 2*v**3 - 2*v**l wrt v?
6
Suppose 0 = -w - 2*w. Suppose 0 = 5*n, n - 8 = -2*q + 2*n. Find the second derivative of -3*v**q + v + 2*v**4 + w*v**4 wrt v.
-12*v**2
Let j(g) be the third derivative of -g**6/12 + g**3/3 - 9*g**2. Find the first derivative of j(x) wrt x.
-30*x**2
Let i(q) be the second derivative of 3*q + 0 + 1/6*q**4 + 0*q**3 + 0*q**6 + 1/42*q**7 + 0*q**5 + 0*q**2. Find the third derivative of i(o) wrt o.
60*o**2
Let c(g) = -3*g**3 - 7*g + 11. Let l(k) = 3*k**3 + 6*k - 10. Let v(s) = 6*c(s) + 7*l(s). What is the first derivative of v(u) wrt u?
9*u**2
What is the first derivative of -6 + 92*o**3 - 73*o**3 - 14 wrt o?
57*o**2
Let i(r) = -18*r**6 - 4*r**4 + 28*r**2 + 4. Let u(a) = 36*a**6 + 7*a**4 - 57*a**2 - 7. Let x(y) = -7*i(y) - 4*u(y). Find the third derivative of x(o) wrt o.
-2160*o**3
Find the third derivative of -6*h**3 - 3*h**2 + 0*h**3 + 0*h**3 + 6*h**2 wrt h.
-36
Let f(r) = 10*r**6 - 2*r**3 - 5*r**2 - 2. Let d(k) = -11*k**6 + 3*k**3 + 4*k**2 + 3. Let z(c) = 2*d(c) + 3*f(c). Find the third derivative of z(y) wrt y.
960*y**3
Let n(t) be the second derivative of 0*t**3 + t - 5/2*t**2 + 1/3*t**4 + 0. Differentiate n(f) wrt f.
8*f
Let o(z) = 21*z + 10. Let v(w) = -22*w - 11. Let j(n) = 4*o(n) + 3*v(n). Find the first derivative of j(p) wrt p.
18
Let q(d) = 3*d**5 + 5*d**3 + 5*d. Let i(a) = -2*a**5 - 3*a**3 - 2*a. Let w(z) = -5*i(z) - 3*q(z). What is the second derivative of w(g) wrt g?
20*g**3
Let n(x) = 10*x**4 - 18. Let l(r) = 9*r**4 - 17. Let f(z) = -7*l(z) + 6*n(z). What is the first derivative of f(m) wrt m?
-12*m**3
Let l(g) = -g**2 + 6*g + 3. Let y be l(6). What is the first derivative of i**y - 3 - 2 + 1 + 0*i**3 wrt i?
3*i**2
Let f(b) be the first derivative of -23*b**6/6 - 2*b**3 + 15. Find the third derivative of f(t) wrt t.
-1380*t**2
Let r(f) be the first derivative of -f**9/504 - f**5/30 - 3*f**2/2 + 1. Let i(d) be the second derivative of r(d). Find the third derivative of i(z) wrt z.
-120*z**3
What is the second derivative of -2*r - 60 + 60 - 5*r - 4*r**5 wrt r?
-80*r**3
Let s(x) be the second derivative of 3*x**6/10 - x**4/3 + 7*x. Find the third derivative of s(m) wrt m.
216*m
Let q(d) be the second derivative of 0*d**2 + 2*d + 1/2*d**3 + 0*d**4 + 1/30*d**6 + 0*d**5 + 0. What is the second derivative of q(k) wrt k?
12*k**2
Suppose -29 - 16 = 5*v. Let k be ((-4)/(-3))/((-2)/v