t?
20
Let z(u) be the second derivative of 2*u**3/3 - u**2 + 8*u. Differentiate z(o) wrt o.
4
Let t(o) be the first derivative of 7*o**5/120 - o**4/3 - 7*o**3/3 - 7. Let i(z) be the third derivative of t(z). Find the first derivative of i(r) wrt r.
7
Suppose -4*n + 3*d + 8 = 0, 3*n + 5*d - 4 = 2. What is the derivative of 3*j**2 + 0*j**2 + 3 - 5*j**n wrt j?
-4*j
Let u(l) be the first derivative of -3*l**5/5 + 9*l**2/2 - 2. Find the second derivative of u(d) wrt d.
-36*d**2
Let n(r) be the second derivative of 0*r**4 + 0 + r + 0*r**3 - r**2 + 1/20*r**5. What is the derivative of n(y) wrt y?
3*y**2
Let i = 10 - 3. Suppose 0 = 4*v - 3*k - 144, i*k = 2*k + 20. What is the second derivative of z - v*z**2 + 3*z**4 + 39*z**2 wrt z?
36*z**2
Let n(w) be the second derivative of -13*w**5/10 + 7*w**4/4 + 10*w. What is the third derivative of n(o) wrt o?
-156
Let g(v) = v**3 + 5*v**2 + 4*v - 3. Let k be g(-4). Let t be (k + -1)*10/(-8). What is the second derivative of -d - t + 5 + 2*d**3 wrt d?
12*d
Let q(k) be the third derivative of -13*k**8/336 - k**4/3 - 11*k**2. What is the second derivative of q(j) wrt j?
-260*j**3
Let j(u) = -4*u**3 - 2*u**2 - 2*u + 5. Let r(t) = -16*t**3 - 9*t**2 - 9*t + 21. Let i(m) = -9*j(m) + 2*r(m). What is the derivative of i(a) wrt a?
12*a**2
Let o(j) be the first derivative of 11*j**4/4 - 3*j**2/2 - 9. Find the second derivative of o(m) wrt m.
66*m
Let u(b) be the first derivative of -16*b**5/5 + b**4/2 + 2*b**3/3 + 8*b - 70. What is the third derivative of u(v) wrt v?
-384*v + 12
What is the second derivative of -5*n**3 + 4*n + 6*n**3 + 0*n wrt n?
6*n
Suppose 0*i + 3 = i, i = t - 3. What is the derivative of -t*q**2 + 8 + 2*q - 2*q + 11*q**2 wrt q?
10*q
Let w(q) be the second derivative of -11*q**6/15 - 23*q**2/2 - 27*q. What is the derivative of w(n) wrt n?
-88*n**3
Let j(h) be the second derivative of h**5/30 + 5*h**4/24 + h**2/2 - 7*h. Let m(q) be the first derivative of j(q). What is the second derivative of m(r) wrt r?
4
Let s(y) be the third derivative of -17*y**5/60 - 19*y**4/24 + 8*y**2. What is the second derivative of s(f) wrt f?
-34
Let z(c) be the second derivative of 0 + 2*c + 0*c**4 + 1/10*c**5 + 0*c**3 - c**2. Differentiate z(h) wrt h.
6*h**2
What is the third derivative of -9*p**2 - 5*p**3 - 4*p**3 - 2*p + 2*p wrt p?
-54
Let c be -4*((-9)/6 + 1). Find the third derivative of -w**3 - 3*w**2 - w**2 + 3*w**c wrt w.
-6
Let g = 4 - 2. What is the third derivative of -2*h**6 + h**2 - 7 + 7 + 2*h**g wrt h?
-240*h**3
Let j(z) = z**3 + 3*z**2 + 2. Suppose 5*p + 0*p = 10, -3*p = -2*f - 12. Let i be j(f). Find the second derivative of -i*n + n**4 + 2*n**4 + n wrt n.
36*n**2
Let w(n) = n**4 - 3*n**3 - 3*n + 2. Let o(c) = c**4 - c**3 - c - 1. Let h(g) = -3*o(g) + w(g). What is the first derivative of h(a) wrt a?
-8*a**3
Let r(o) be the first derivative of 3*o**8/560 + 5*o**4/12 + 7*o**3/3 - 7. Let q(t) be the third derivative of r(t). Differentiate q(a) wrt a.
36*a**3
Let c(q) be the first derivative of 9*q**4/4 + 4*q**3 + 8. Find the third derivative of c(v) wrt v.
54
Let a(l) be the first derivative of l**6/6 - 2*l**2 - 1. What is the second derivative of a(s) wrt s?
20*s**3
Suppose 5*r = 0, -q + 2 = -3*r - 2. Suppose -5*t - h + 15 = -0*h, -q*t - 2 = -2*h. What is the third derivative of -4*x**4 + 3*x**4 - 5*x**2 + 7*x**t wrt x?
-24*x
Let a(c) be the first derivative of -14*c**3/3 - 50*c - 9. What is the first derivative of a(g) wrt g?
-28*g
Suppose -2*t + 5*y + 14 = 0, -4*t + 3*y + 12 = -t. Find the second derivative of -c**4 + 24*c**t - 2*c - 24*c**2 wrt c.
-12*c**2
Let q(k) be the second derivative of 0*k**5 + 0*k**3 + k + 0 + 0*k**6 + 1/42*k**7 + 1/12*k**4 + 0*k**2. Find the third derivative of q(u) wrt u.
60*u**2
Find the third derivative of -1 + 192*o**2 - 181*o**2 + 2*o**3 - 2 wrt o.
12
Find the second derivative of -3*j**3 - 4*j**3 - 12*j**3 - 4*j - 5*j wrt j.
-114*j
Suppose 3*z = -3*b - 3 + 6, 49 = 4*z - 5*b. Let g = -4 + z. What is the second derivative of -2*m**3 - m + 2*m**2 - g*m**2 wrt m?
-12*m
Let s(w) be the third derivative of -11*w**4/12 - 11*w**3/6 + 6*w**2. Differentiate s(h) wrt h.
-22
Find the first derivative of 5*o**3 + 7*o**3 - 5 - 5*o**3 wrt o.
21*o**2
Let h(p) = -20*p - 17. Let x(f) = -40*f - 33. Let y(d) = 5*h(d) - 3*x(d). What is the derivative of y(t) wrt t?
20
Let u = -2 - -4. Let x(q) be the first derivative of 0*q**u + 0*q**3 - 2/5*q**5 + 0*q**4 + q - 3. Find the first derivative of x(f) wrt f.
-8*f**3
Let w(k) = 2*k**4 - 11*k**3 - 56*k**2. Let c(y) = y**4 - 4*y**3 - 19*y**2. Let z(s) = 11*c(s) - 4*w(s). What is the third derivative of z(n) wrt n?
72*n
Find the second derivative of 105*p**4 - 231*p**4 + 5*p + 102*p**4 wrt p.
-288*p**2
Let o be (4/6)/(-1) - -1. Let t(k) be the first derivative of 0*k**2 - 2 - o*k**3 + 0*k - 2/5*k**5 + 0*k**4. Find the third derivative of t(j) wrt j.
-48*j
Let l(h) be the second derivative of h**8/3360 - h**5/60 - h**4/12 + 2*h. Let u(v) be the third derivative of l(v). What is the first derivative of u(g) wrt g?
6*g**2
Let d = 6 + -5. What is the first derivative of 3 - 4 + 5*r + d - 2 wrt r?
5
Find the third derivative of 19*g**2 - 11*g**2 - 3*g**2 + 2*g**4 wrt g.
48*g
Let j = 14 + -13. Find the first derivative of 0 + j - 2 - 6*p**3 wrt p.
-18*p**2
Let p(o) = -30*o**3 - 2*o**2 + 18*o + 3. Let g(x) = x**3 + x**2 + x - 1. Let w(a) = 3*g(a) + p(a). What is the third derivative of w(t) wrt t?
-162
Let p(s) = -2*s**3 - 8*s**2 - 5*s + 5. Let l(v) = 3*v**3 + 12*v**2 + 7*v - 7. Let j(t) = -5*l(t) - 7*p(t). What is the third derivative of j(g) wrt g?
-6
Let v(y) be the third derivative of -11*y**6/60 + 8*y**3/3 + 20*y**2. What is the first derivative of v(z) wrt z?
-66*z**2
Find the second derivative of 0*h + 9*h + 6*h - 12*h**5 - 5*h wrt h.
-240*h**3
Let n(o) = -7*o**4 - 6*o**2 - 8*o. Let g = -13 + 19. Let v(s) = s**4 + s**2 + s. Let d(y) = g*v(y) + n(y). What is the second derivative of d(q) wrt q?
-12*q**2
Let w(m) be the third derivative of m**8/84 + m**7/70 + 5*m**4/24 + m**3/6 + 11*m**2 + 1. Find the second derivative of w(n) wrt n.
80*n**3 + 36*n**2
Let k(a) = -10*a**3 + 7*a**2 + 3*a + 7. Let d(v) = 10*v**3 - 6*v**2 - 3*v - 6. Let p(x) = 7*d(x) + 6*k(x). Find the second derivative of p(w) wrt w.
60*w
Let q(p) be the first derivative of 5*p**3 + 4*p**2 + 10. What is the second derivative of q(a) wrt a?
30
Let i = -1 - -3. What is the second derivative of 2*j - 2*j - i*j + 4*j**4 - 3*j wrt j?
48*j**2
Suppose -2*i = -y + 10, 7*y - 22 = 2*y - 4*i. Let n = -4 + y. Find the second derivative of -s**n - s - 3 + 3 wrt s.
-2
Suppose -3*i - 2 - 4 = 0. Let h = i + 4. Find the first derivative of -2 + 1 + 3*p**2 + h - 2 wrt p.
6*p
Suppose 3*l = -l - 3*c + 31, 23 = 2*l - c. Let h = -3 + l. Find the third derivative of h*s - 7*s + 3*s**2 - s**4 wrt s.
-24*s
Let n(v) be the third derivative of v**10/50400 + v**6/360 + v**5/20 - 2*v**2. Let j(h) be the third derivative of n(h). What is the derivative of j(i) wrt i?
12*i**3
Let p(c) = c**3 - c. Let o(v) = 14*v**5 + 6*v**3 + 4*v**2 - 6*v. Let m(i) = -o(i) + 6*p(i). Find the third derivative of m(s) wrt s.
-840*s**2
Suppose 3*t = -2*t + 20. Suppose c - t*h = 4*c + 1, -4*c = -h - 24. Find the second derivative of c*z - z + z + 2*z**2 - 2*z wrt z.
4
Let t = 5 + -2. Find the second derivative of -c**t + 4*c + 2 + 2*c - 2 wrt c.
-6*c
Let p be (-4)/6 + (-22)/(-6). Let o be (4/10)/(3/15). What is the second derivative of -m + o*m**3 - m**3 + 2*m**p wrt m?
18*m
Suppose 3*y - y = 10. Let x(k) = -7*k**3 + 3*k**2 + 2. Let l(b) = 15*b**3 - 5*b**2 - 5. Let j(m) = y*x(m) + 2*l(m). What is the third derivative of j(s) wrt s?
-30
What is the third derivative of -4*s**3 - 5*s**3 + 2*s**2 + 9*s**3 + 3*s**4 wrt s?
72*s
Let s(c) be the third derivative of c**7/7 - 25*c**3/6 - 9*c**2. What is the first derivative of s(g) wrt g?
120*g**3
Let c(v) be the second derivative of 9*v**5/20 + v**3/3 - 5*v. Find the second derivative of c(l) wrt l.
54*l
Let v(y) be the first derivative of y**6/6 - 7*y**2 + 14. Find the second derivative of v(u) wrt u.
20*u**3
Find the first derivative of 7 - 16 - 13*p + 4 wrt p.
-13
What is the second derivative of -n**5 - 16*n + 2*n**5 + 28*n wrt n?
20*n**3
Let b(z) = z**3 - z**2 - z - 1. Let g(r) = -7*r**3 - 