20 - k**4/8 - k**3/6 + 3*k**2. Let w(p) be the first derivative of t(p). Differentiate w(i) with respect to i.
1
Suppose m = -v + 2, -8*v + 4*v - 3*m + 7 = 0. Let x = 3 + v. Find the third derivative of -2*o**5 + 0*o**4 + 0*o**x - o**2 wrt o.
-120*o**2
Find the third derivative of 6*w**4 - 1 + 1 + 18*w**2 - 20*w**2 wrt w.
144*w
Let k be (8/5)/(8/20). Suppose 5*l = -11 + 31. What is the second derivative of k*m**3 - l*m**3 + m - m**3 wrt m?
-6*m
Let y(c) be the third derivative of 1/12*c**4 - 1/3*c**3 + 0 + 0*c + c**2. What is the derivative of y(s) wrt s?
2
Let y(w) = -16*w**4 + 2*w**3 - 2*w**2 + 7. Let v(f) = 16*f**4 - 3*f**3 + 3*f**2 - 8. Let m(s) = 2*v(s) + 3*y(s). Differentiate m(t) with respect to t.
-64*t**3
Let w(b) = 29*b**3 + 5*b**2 - 6*b + 6. Let d(g) = -g**3 - g**2 + g - 1. Let z(l) = -6*d(l) - w(l). What is the third derivative of z(o) wrt o?
-138
Let j(t) = t**3 + 11*t**2 + 9*t - 5. Let v be j(-10). Find the second derivative of u + u**5 + v*u**4 - 5*u**4 wrt u.
20*u**3
Let g be (-4)/18 + 168/27. Let z = g - 3. Find the third derivative of -4*s**4 + 4*s**z - 2*s**2 - 4*s**3 wrt s.
-96*s
Let g be 10/(-35) + 4/14. Find the second derivative of 3*r - 3*r**2 + g*r**2 + 3*r**2 + 2*r**3 wrt r.
12*r
Suppose -4*c - 8 = -6*c. Find the second derivative of -2*t**c + 4*t**3 - 3*t**3 - t**3 - 6*t wrt t.
-24*t**2
What is the second derivative of -51*v - v + 7*v + 43*v**3 wrt v?
258*v
Let b(l) be the second derivative of l**6/10 + l**2 + 13*l. Differentiate b(n) wrt n.
12*n**3
Let t(a) be the third derivative of 1/3*a**3 + 0*a**4 + 2*a**2 + 0*a + 0 - 1/30*a**5. What is the derivative of t(h) wrt h?
-4*h
What is the first derivative of 5*w**4 + 6*w**4 + 16 - 8*w**4 wrt w?
12*w**3
Let f(n) be the first derivative of 3/4*n**4 + 2/3*n**3 + 0*n + 3 + 0*n**2. What is the third derivative of f(h) wrt h?
18
Let r(a) = 62*a**3 - 8*a**2 - 56*a + 8. Let x(u) = 41*u**3 - 5*u**2 - 37*u + 5. Let f(o) = 5*r(o) - 8*x(o). What is the second derivative of f(q) wrt q?
-108*q
Suppose h + 3 = 4*h. Differentiate -3*f**3 + f**3 + 4*f**3 - h + 3 wrt f.
6*f**2
Let a(s) = 4*s**4 - 6*s**2 - 8*s. Let i(j) = -10*j**4 - j**2 + 0*j - j + 11*j**4. Let k(h) = -a(h) + 6*i(h). What is the second derivative of k(p) wrt p?
24*p**2
Let s(c) be the second derivative of -2*c**8/7 + 17*c**4/6 - 27*c. What is the third derivative of s(z) wrt z?
-1920*z**3
Find the first derivative of 8*w - 9 + 14*w + 7*w**3 - 22*w wrt w.
21*w**2
Let k(a) = 8*a**2 + 34*a. Let j(n) = 168*n**2 + 712*n. Let v(b) = 3*j(b) - 64*k(b). What is the second derivative of v(c) wrt c?
-16
Let m(t) be the first derivative of 9*t**4/4 - t**3 + 7. What is the third derivative of m(p) wrt p?
54
Let t(h) be the third derivative of h**8/1680 - h**6/180 + h**3/6 - 2*h**2. Let z(c) be the first derivative of t(c). Find the third derivative of z(i) wrt i.
24*i
Suppose 26 = -p - 5*r + 9, p = r + 7. Differentiate 6 + 2*u**3 - 3*u**3 - p with respect to u.
-3*u**2
What is the first derivative of -5*h - 4*h - 2 + 2*h + h wrt h?
-6
Let n(f) = -8*f**4 + 3*f**3 + 9*f**2 - 3. Let w(g) = 7*g**4 - 2*g**3 - 9*g**2 + 2. Let i(z) = -2*n(z) - 3*w(z). What is the third derivative of i(c) wrt c?
-120*c
What is the second derivative of 4*m**2 + 8*m - 17*m**2 + 9*m**2 wrt m?
-8
Let c(h) = 3*h**4 - 2*h**2 - 3*h + 9. Let v(r) = 2*r**4 - r**2 - 4*r + 10. Let q(u) = 4*c(u) - 3*v(u). What is the third derivative of q(k) wrt k?
144*k
Let r(d) = 7*d**4 + 6*d - 4. Let p = -19 - -32. Let k(x) = 0*x + 0*x**4 + 15*x**4 + 0*x**4 - 9 + p*x. Let b(g) = -6*k(g) + 13*r(g). Differentiate b(a) wrt a.
4*a**3
Let d = 1/25 + 2/75. Let r(t) be the second derivative of t**2 + d*t**6 + 0 + 0*t**3 - 2*t + 0*t**4 + 0*t**5. What is the derivative of r(y) wrt y?
8*y**3
Let q(b) be the second derivative of 3*b + 0 + 1/4*b**4 + 0*b**2 - 1/2*b**3. Find the second derivative of q(j) wrt j.
6
Let s(n) be the third derivative of -4*n**5/15 + 7*n**3/6 - 6*n**2. Differentiate s(d) with respect to d.
-32*d
Let x(l) be the first derivative of 4*l**5/5 + 4*l**3/3 - 14. What is the third derivative of x(a) wrt a?
96*a
Let s(o) = -69*o**3 + 7*o + 15. Let v(y) = -35*y**3 + 4*y + 7. Let x(f) = 4*s(f) - 7*v(f). What is the first derivative of x(n) wrt n?
-93*n**2
Let b(z) = -z**3 - z**2 + 2*z + 2. Let r be b(-2). Let d(p) = 3*p - 1. Let f be d(r). Find the third derivative of g**2 - 4*g**5 + 2*g**5 + g**f wrt g.
-60*g**2
Let f(y) be the first derivative of 5*y**2/2 - 9*y - 13. Differentiate f(t) wrt t.
5
Suppose 6*z - 2*b = 2*z + 24, 0 = -2*z - 3*b - 4. Find the third derivative of -10*t**4 - 8*t**2 + 8*t**4 + 3*t**z wrt t.
24*t
Let h(f) be the second derivative of -1/3*f**4 + 0*f**2 + 0*f**3 + 0 + 0*f**5 - 2*f + 0*f**6 + 1/14*f**7. Find the third derivative of h(v) wrt v.
180*v**2
Suppose -2 = -3*g + 7. Differentiate 3 + 2*r**3 - 5*r + g*r + 2*r with respect to r.
6*r**2
Let s be ((-2)/4)/(3/(-30)). Find the third derivative of 7*x**s - x**2 + 2*x**2 - x**5 wrt x.
360*x**2
Let c = -4 + 5. Differentiate -6 - 4*g**2 + c - 2 wrt g.
-8*g
Let h(m) = 16*m**4 - 3*m**3 - 22*m + 3. Let w(v) = -v**4 + v**3 - 1. Let d(c) = h(c) + 3*w(c). What is the second derivative of d(b) wrt b?
156*b**2
Let i = 4 - -2. What is the third derivative of 3*h**3 + 9*h**3 - h**2 - i*h**3 wrt h?
36
Find the third derivative of 21*d**5 - 558*d**2 + 570*d**2 + 22*d**5 wrt d.
2580*d**2
Let u(i) be the second derivative of i**5 + 11*i**3/6 - 11*i. Find the second derivative of u(k) wrt k.
120*k
Let v(q) be the first derivative of -q**6/2 + 5*q**2/2 + 10. What is the second derivative of v(h) wrt h?
-60*h**3
Find the second derivative of -5*l**3 - 4*l**3 + 3*l + 6*l**3 + l wrt l.
-18*l
Let i(s) = 11*s**2 - 21*s. Let f(h) = -7*h**2 + 14*h. Let p(m) = -7*f(m) - 5*i(m). Find the second derivative of p(b) wrt b.
-12
Let b(s) = 2*s**5 - 3*s**3 - 5*s**2 + 3*s. Let p(v) = -7*v**5 + 8*v**3 + 15*v**2 - 8*v. Let d(u) = -8*b(u) - 3*p(u). Find the third derivative of d(o) wrt o.
300*o**2
Let v = 2 - 0. What is the derivative of 2*c**3 - v - c**3 - 2 + 0 wrt c?
3*c**2
Suppose 6*h + 4 = 2*h, h = -3*n + 2. Differentiate -1 + 4 + 5*c**3 + n - 2 wrt c.
15*c**2
Let c(f) be the first derivative of f**5/10 - 7*f**4/24 - 3*f**2/2 + 6. Let a(w) be the second derivative of c(w). Find the second derivative of a(b) wrt b.
12
Let u(y) = 6*y**3 + 5*y**2 - 14. Let j(t) = t**3 + t**2. Let x(o) = -5*j(o) + u(o). What is the derivative of x(w) wrt w?
3*w**2
Let m(n) be the second derivative of -n**7/420 - n**5/60 + n**3/3 - 3*n. Let a(c) be the second derivative of m(c). What is the second derivative of a(h) wrt h?
-12*h
What is the third derivative of 48*g - g**5 + g**2 - 48*g wrt g?
-60*g**2
What is the second derivative of -5*u - 2*u**2 + 14 + 0 + 2*u - 2*u**2 wrt u?
-8
Let y(l) be the second derivative of l**6/20 - l**3/3 + 3*l**2 + 2*l. Let s(d) be the first derivative of y(d). Find the first derivative of s(n) wrt n.
18*n**2
Let q(c) = 26*c + 32. Let u(k) = -9*k - 11. Let j be -5*(3/5 + 0). Let h(y) = j*q(y) - 8*u(y). Differentiate h(b) with respect to b.
-6
Suppose -j + 25 + 1 = 5*y, 4*j = 4*y - 16. What is the second derivative of -5*g**3 - g + 5*g**3 + 2*g**y - g**5 wrt g?
20*g**3
Suppose -2*j - 17 = -1. Let o(h) = h**3 + 9*h**2 + 9*h + 10. Let n be o(j). Find the first derivative of -n*x**3 + 0*x**3 - 1 + 0*x**3 wrt x.
-6*x**2
Let w(k) = k + 3. Let z be w(2). Find the first derivative of z*x**4 - x**4 - 9*x**4 + 3 wrt x.
-20*x**3
Differentiate -6 - 7 - 7*p + 6 wrt p.
-7
Let p(b) be the third derivative of b**6/40 - b**3 - b**2. Differentiate p(d) with respect to d.
9*d**2
Suppose 4*d = -2*q + 10, -d - 2*q = q. What is the third derivative of -3*a**4 - 6*a**2 - 2*a**4 + d*a**2 wrt a?
-120*a
Let o(c) be the third derivative of -c**7/1260 + c**5/60 + c**4/8 + 3*c**2. Let h(v) be the second derivative of o(v). Differentiate h(w) wrt w.
-4*w
Let s(o) = -o**2 - 6*o - 4. Let k be s(-5). Let r = 0 + k. Differentiate -r - w + 0*w + 2*w with respect to w.
1
Let g(b) = b**2 - 5*b + 6. Let a be g(4). Find the third derivative of -17*j**a + 12*j**2 - j**5 + 4*j**5 wrt j.
180*j**2
What is the third derivative of 6*c**4 + 8*c + 8*c**2 - 3*c - 5*c wrt c?
144*c
Let w(u) = 10*u**5 + 4*u**3 + 18*u**2 + 4. Let y(x) = -x**5 - x**3 - 1. Let s(k) = w(k) + 4