ivative of p**8/240 + p**5/60 + p**3 + 4*p. Let v(w) be the second derivative of s(w). Find the second derivative of v(n) wrt n.
84*n**2
Let a(y) be the first derivative of -y + 1/6*y**3 - 1/2*y**2 + 2. Let w(f) be the first derivative of a(f). Find the first derivative of w(h) wrt h.
1
Let r(o) be the first derivative of 2*o**7/105 + o**3/2 - o**2/2 + 3. Let i(w) be the second derivative of r(w). What is the first derivative of i(n) wrt n?
16*n**3
Suppose 4*s + 4*x = 12, 4*x - 3 = 4*s - 15. What is the third derivative of -25*h**3 + 25*h**s - 4*h**4 - 6*h**2 wrt h?
-96*h
Let k = -20 + 31. Find the first derivative of k*g**2 + 17*g**2 - 22*g**2 - 5 wrt g.
12*g
Let c(w) = 7*w + 4. Let y(j) = -15*j - 8. Let q be (16 + (0 - -2))/2. Let t(a) = q*c(a) + 4*y(a). Differentiate t(x) with respect to x.
3
Suppose 0 = -2*p, -4*h - 5*p + 13 = -7. Find the second derivative of 6*i + i - 4*i - 4*i**h wrt i.
-80*i**3
What is the second derivative of 4*c - 10*c**2 - 18*c + 12 - 12 wrt c?
-20
Let m(u) = -29*u**4 + 5*u**3 + 19. Let n(l) = 14*l**4 - 3*l**3 - 9. Let o(c) = 3*m(c) + 5*n(c). What is the derivative of o(a) wrt a?
-68*a**3
What is the derivative of 0*s**3 + 16*s**2 - 16*s**2 + 14 - 7*s**3 wrt s?
-21*s**2
Suppose -11*c - 2*c + 26 = 0. Suppose n - 2*q + 2 = -0*n, 5*q - 7 = 2*n. What is the derivative of -s**4 + 0*s**n - 3*s**4 - c wrt s?
-16*s**3
What is the second derivative of -4*y**2 + 7*y**2 - 2*y**2 + 2*y**2 - 8*y wrt y?
6
Let s(n) be the second derivative of -n**4/6 + 5*n**3/6 - 6*n. What is the second derivative of s(r) wrt r?
-4
Let o be 5 + (-2 - 0) + 3. Let l = 7 + -5. Find the first derivative of d + 2*d - o*d - l + d wrt d.
-2
Let h(o) be the first derivative of -o**6/6 + o**2/2 + 6. Find the second derivative of h(z) wrt z.
-20*z**3
Let g(i) = -i**3 + 2*i**2 + 4*i - 3. Let j be g(3). Find the first derivative of j*o + 2*o + 2*o + 4 wrt o.
4
Let n(j) = 1. Let z(x) = x**3 - 5*x**3 + 3*x**3 + 0*x**3. Let a(t) = -5*n(t) - z(t). What is the derivative of a(r) wrt r?
3*r**2
Let c = 29 + -55/2. Let g(o) be the first derivative of 0*o**3 + c*o**2 + 0*o + 3 + 3/5*o**5 + 0*o**4. What is the second derivative of g(p) wrt p?
36*p**2
Let n(c) = -23*c**3 + 33*c**2 - 4*c - 4. Let l(i) = -i**3 - i**2 + i + 1. Let o(k) = -4*l(k) - n(k). Find the third derivative of o(f) wrt f.
162
Let a(p) = -5*p**4 - 4*p**3 + 6*p - 16. Let o(w) = w**3 - w. Let h(k) = -a(k) - 6*o(k). What is the first derivative of h(y) wrt y?
20*y**3 - 6*y**2
Find the third derivative of -r**2 - 218*r**3 + 239*r**3 + 3*r**2 wrt r.
126
Let s = -3 + 5. Find the third derivative of 4*k**4 - 6*k**s - 4*k**4 - 4*k**5 wrt k.
-240*k**2
Find the second derivative of -39*j**5 - 2*j + 41*j**5 - 10*j wrt j.
40*j**3
Find the third derivative of 19*n**4 - 11 + 16 - 5 - 18*n**2 wrt n.
456*n
Suppose -2*s = 4*p - 40, -2*p + 5*p - 4*s = 41. What is the first derivative of 2 + 2*a - 9*a + p*a wrt a?
4
What is the third derivative of 8*t**2 - 7*t**2 - 3*t**6 + 12*t**2 + 8*t**6 wrt t?
600*t**3
Let u(b) be the first derivative of -9*b**4/2 - 20*b**3/3 + 27. What is the third derivative of u(k) wrt k?
-108
Let r(k) = 2*k**2 - 3*k + 3. Let p be r(2). Suppose -10 + p = -l. What is the third derivative of -l*d**2 + 4*d**2 + 0*d**3 + 2*d**2 - d**3 wrt d?
-6
Let f(r) = 23*r**2 - 30. Let m(j) = -44*j**2 + 59. Let i(n) = -5*f(n) - 3*m(n). What is the derivative of i(d) wrt d?
34*d
Let r(a) = -a - 3. Let c be r(-7). Suppose -c*g + 16 = -0*g. Differentiate -3 + g + 0 - 2*t with respect to t.
-2
Let y be (41 + -1)*(-1)/(-2). Suppose -4*g - g = -y. What is the derivative of -2*x - 1 - x + g*x wrt x?
1
Let r(v) be the second derivative of -7*v**3/6 - 2*v**2 - 16*v. What is the derivative of r(u) wrt u?
-7
Let z(w) = -17*w**3 + 6*w**2 - 32. Let j(k) = -50*k**3 + 17*k**2 - 95. Let o(n) = 6*j(n) - 17*z(n). Find the first derivative of o(u) wrt u.
-33*u**2
Let r(g) be the second derivative of 0 + 1/2*g**2 + 2*g + 0*g**5 + 0*g**3 + 0*g**4 + 1/15*g**6. What is the derivative of r(v) wrt v?
8*v**3
Let a(w) be the first derivative of 7/2*w**2 + 3 - 19*w. Let n(p) = -p + 3. Let g(r) = -6*a(r) - 39*n(r). Find the first derivative of g(o) wrt o.
-3
Let r(a) be the second derivative of -3*a**5/5 + 10*a**2 - 3*a. What is the first derivative of r(v) wrt v?
-36*v**2
Let d(r) be the second derivative of -11*r**7/42 + 43*r**4/12 + 32*r. What is the third derivative of d(z) wrt z?
-660*z**2
Let b(o) = 2*o - 2. Let a be b(2). Suppose -r - a*w + 3 = 0, 5*r + 5*w - 9 = 2*r. Find the second derivative of r*z**4 - z - z**5 - 3*z**4 wrt z.
-20*z**3
Let a(t) be the second derivative of t**6/30 - t**4/12 - t. Find the third derivative of a(g) wrt g.
24*g
Find the second derivative of -2*x**2 + 3*x + 0*x + x - x wrt x.
-4
Let w(y) be the third derivative of 0*y**3 + 0 + 1/12*y**4 + 1/42*y**7 + 0*y**6 + 0*y**5 + 0*y - 3*y**2. Find the second derivative of w(t) wrt t.
60*t**2
Let i(j) be the third derivative of 4*j**2 + 0*j**3 + 0*j**6 + 0*j + 1/112*j**8 + 0*j**5 - 1/24*j**4 + 0 + 0*j**7. What is the second derivative of i(k) wrt k?
60*k**3
Let j(t) be the second derivative of 4*t**6/15 + 7*t**2/2 + 3*t. Differentiate j(v) wrt v.
32*v**3
Let v(c) be the second derivative of 13*c**7/21 - 3*c**4/2 + 4*c. Find the third derivative of v(d) wrt d.
1560*d**2
Find the second derivative of 8*j + 10*j + 6*j**5 - 21*j wrt j.
120*j**3
Find the third derivative of -16*d**2 + 40*d**3 + 11*d**2 + 34*d**3 wrt d.
444
Let q(j) be the third derivative of -1/30*j**6 - 4*j**2 + 0 + 1/60*j**5 + 0*j + 0*j**3 + 0*j**4. What is the third derivative of q(w) wrt w?
-24
What is the second derivative of 11 + 8*c**3 - 15*c - 11 wrt c?
48*c
Suppose 3*z - 4*z = 0. Suppose -3*y + b + 20 = z, -15 = -2*y - b + 2*b. Find the second derivative of 2*r**y + 0*r + r + r**5 wrt r.
60*r**3
Let p(t) be the first derivative of -2*t**4 + 6*t - 10. Find the first derivative of p(l) wrt l.
-24*l**2
Let j(q) be the second derivative of -q**6/30 - q**5/30 + 3*q**2/2 + 2*q. Let d(p) be the first derivative of j(p). What is the third derivative of d(x) wrt x?
-24
What is the third derivative of -2*c**2 - 2*c**2 + 32*c**6 - 2*c**2 wrt c?
3840*c**3
Suppose 8 = p + q, -q = 5*p - p - 29. Suppose -3 = 4*j - p, 2*n - 2 = 2*j. What is the second derivative of -4*g + 3*g**5 - g**5 + n*g wrt g?
40*g**3
Let g(k) be the third derivative of k**6/30 + k**5/20 + 7*k**2. Find the third derivative of g(i) wrt i.
24
Let g = 27 - 23. What is the third derivative of 2*b**2 - b**2 - 3*b**2 + g*b**2 - 3*b**3 wrt b?
-18
Let a(g) be the first derivative of -3*g**6/2 + 7*g**3/3 + 3*g**2/2 - 48. Find the third derivative of a(k) wrt k.
-540*k**2
Suppose -6*a + 105 = -a. Suppose j + 9 = 3*z, 3*z - j - a = 4*j. Find the second derivative of 5*k**4 + 2*k - z*k**4 - k**4 wrt k.
24*k**2
Find the third derivative of -4*v**4 - v**2 + 23*v**3 - 4*v**2 - 23*v**3 wrt v.
-96*v
Let t(w) = w**3. Let f(y) = -2*y. Let j(m) = 2*f(m) + 4*t(m). What is the second derivative of j(d) wrt d?
24*d
Let u(o) = -3*o**5 + 5*o + 4. Let s(h) = -3*h**5 + 5*h + 5. Let t(p) = 4*s(p) - 5*u(p). Find the second derivative of t(x) wrt x.
60*x**3
Suppose -3*j + 12 = 4*g - 3*g, 0 = -2*g - j + 9. Let p(o) = o**2 - o - 4. Let y be p(g). What is the third derivative of -4*u**y + 2*u**2 - u**2 - 3*u**5 wrt u?
-180*u**2
Let q(j) be the second derivative of 0*j**6 + 0*j**7 + 0*j**5 + 0*j**3 + 0 + j + 0*j**2 + 1/28*j**8 - 1/12*j**4. Find the third derivative of q(h) wrt h.
240*h**3
Let o(v) be the third derivative of 13*v**6/60 + v**5/60 - 3*v**4/8 + 56*v**2 + 1. What is the third derivative of o(d) wrt d?
156
Let j(c) = c**3 - 2*c**2 - 3*c + 2. Let y be j(3). What is the second derivative of -3*d + d + 8*d**4 - y*d + d wrt d?
96*d**2
What is the third derivative of -s**6 - 3*s**6 + 8*s**2 - 6*s**2 wrt s?
-480*s**3
What is the second derivative of -9*y**3 + y + 3*y**3 + 15*y + 4*y wrt y?
-36*y
Let a(l) = -11*l**3 + l**2 + 6*l - 6. Let d(h) = -23*h**3 + h**2 + 13*h - 13. Let f(u) = -13*a(u) + 6*d(u). What is the third derivative of f(r) wrt r?
30
Let a(x) be the first derivative of 0*x**3 - 7 + 0*x**4 + 8/5*x**5 + 5*x**2 + 0*x. Find the second derivative of a(d) wrt d.
96*d**2
Let r(w) be the first derivative of 0*w**3 + 2 + 0*w - 3/4*w**4 - w**2. What is the se