r**2 with respect to r.
-88*r**3
What is the first derivative of o**2 + 6 - 8*o**2 - o**2 + 0*o**2 wrt o?
-16*o
Let v(n) be the third derivative of n**8/56 - n**5/60 + 5*n**2. What is the third derivative of v(t) wrt t?
360*t**2
What is the derivative of -3 - 7*t**4 - t + 11*t**4 + t wrt t?
16*t**3
Let h be (-20)/(-15)*(-1 + 4). What is the second derivative of 4*n**4 - 2*n**h + 4*n**4 + 4*n wrt n?
72*n**2
Suppose 2*m = 2*x + 12, 3*x - 2*m + 10 = -3*m. Let a = x + 7. What is the second derivative of 2*u + a*u**3 - 5*u + u wrt u?
18*u
Let a(b) be the second derivative of b**8/1680 + b**4/4 + b**3 - 4*b. Let x(h) be the second derivative of a(h). Differentiate x(m) wrt m.
4*m**3
Let c(l) be the third derivative of l**7/280 + l**6/180 - l**3/2 - 2*l**2. Let p(z) be the first derivative of c(z). Find the third derivative of p(b) wrt b.
18
Suppose -3*o = -4*o + 10. Let a be 21/14*o/3. Differentiate a*l**3 - l**3 - 7 + 2 + 3 wrt l.
12*l**2
Differentiate 2*v**3 - 70*v + 39 + 75*v + v**3 wrt v.
9*v**2 + 5
Let x(w) = -1. Let j(n) = -4*n + 4. Let k(z) = 3*j(z) - 6*x(z). What is the derivative of k(h) wrt h?
-12
Let o(t) be the first derivative of -5*t**3/3 - 3*t + 2. What is the first derivative of o(c) wrt c?
-10*c
Let s(w) be the first derivative of -5*w**2 - 6*w + 7. What is the derivative of s(o) wrt o?
-10
Suppose 3*l = -2*l. Suppose -4*y + 3 + 21 = l. Find the second derivative of 7*i**4 + i**4 - y*i**4 - i wrt i.
24*i**2
Let v(g) be the second derivative of 19*g**6/15 - 7*g**4/6 + 29*g. What is the third derivative of v(u) wrt u?
912*u
Let j(p) = 75*p**3 - 7*p**2 + 7*p + 42. Let x(b) = 25*b**3 - 2*b**2 + 2*b + 14. Let o(k) = 2*j(k) - 7*x(k). Differentiate o(h) wrt h.
-75*h**2
Let c(k) = k**3 + k. Let x be c(1). What is the second derivative of m + 0*m**2 + 0*m**x + m + 3*m**2 wrt m?
6
Suppose 3*s - 7*f + 4*f - 12 = 0, -3*f = 4*s - 2. Let q(l) = -l - 5. Let n be q(-7). What is the third derivative of 3*h**3 + 2 + 0*h**n - 2 - h**s wrt h?
18
Suppose 1 - 6 = -5*k. What is the third derivative of 1 - k + 4*j**2 + 2*j**6 - j**2 wrt j?
240*j**3
Find the second derivative of -2*a**5 + 11*a**5 + 4771*a - 4807*a wrt a.
180*a**3
Let t(r) be the third derivative of 0*r - 5/24*r**4 + 2/3*r**3 - 3*r**2 + 0. What is the first derivative of t(n) wrt n?
-5
Suppose -2*w = -q - 7, 3*w - 2*q = 6*w. Differentiate p**2 - 7 - p**2 + w*p**4 with respect to p.
8*p**3
Let q(b) be the second derivative of -11*b**4/12 + 2*b**2 - 25*b. Find the first derivative of q(l) wrt l.
-22*l
Let y(b) be the first derivative of 51*b**2/2 - 13*b - 32. Differentiate y(f) wrt f.
51
Suppose 2*l - 3*h = 10, 2*l - h - 5 = 1. Find the third derivative of 1 + l - 3 - 6*n**5 - 2*n**2 wrt n.
-360*n**2
Find the second derivative of 14*i - 27*i**2 - 2*i**2 + 11*i wrt i.
-58
Let d(f) be the first derivative of f**2/2 - f + 1. Let i(s) = -2. Suppose 12 = -5*n + 7. Let w(c) = n*i(c) + 3*d(c). Differentiate w(a) wrt a.
3
Let y = 2 + -2. Let d be y/2 + 0 + 2. What is the second derivative of 1 - 1 - d*w**2 + 2*w wrt w?
-4
Let y be (6/4 - 2)*-12. Let k(x) be the second derivative of 0*x**5 + 0 + x + 0*x**2 - 1/6*x**4 + 0*x**3 + 1/30*x**y. Find the third derivative of k(l) wrt l.
24*l
Let j = -6 - -8. Find the third derivative of -3*t**j - 3*t**2 + 4*t**2 + t**3 wrt t.
6
Suppose -4*z + 5*x = -29, 11 = 2*z - 3*x + 4*x. Differentiate -1 - z*u**2 - u**2 + 2*u**2 with respect to u.
-10*u
Let u be 4/(-3)*(-3)/2. Differentiate 0 + 7 - 7*n**3 - n**u + n**2 with respect to n.
-21*n**2
Let w(x) be the first derivative of 2*x**4 + 3*x**2/2 - 3. What is the second derivative of w(r) wrt r?
48*r
Let r(k) be the first derivative of -2*k**3/3 - 2*k**2 - 23*k - 63. What is the derivative of r(w) wrt w?
-4*w - 4
Let q(g) = -g**3 - 11*g**2 + 11*g - 5. Let m be q(-12). Find the second derivative of -2*z**2 + z + 2*z - m*z + z wrt z.
-4
Find the second derivative of 7*u**2 - 5*u - 21*u**2 + 6*u wrt u.
-28
Let u be ((-22)/(-77))/((-24)/(-7)). Let m(h) be the second derivative of -u*h**4 + 0*h**2 - 1/3*h**3 + 3*h + 0. Find the second derivative of m(g) wrt g.
-2
What is the third derivative of 5*h**2 - 5*h**3 + 0*h**2 - 4*h**2 wrt h?
-30
Suppose 3*y = 4*y - 2. Suppose -5*q = 2*r - 29, 5*r + y*q - 8 - 12 = 0. Find the third derivative of 2*h**4 + 0*h**r - 4*h**4 - 2*h**2 wrt h.
-48*h
Suppose -3*z = -4*l - 7, 0 = -2*l + l + z - 3. What is the derivative of 3*f - 5*f**2 + l - 3*f + 3*f**2 wrt f?
-4*f
Let d(r) = -5*r**3 + 2*r**2 - 9. Let z(v) = 15*v**3 - 7*v**2 + 28. Let q(b) = 7*d(b) + 2*z(b). Differentiate q(m) with respect to m.
-15*m**2
Let u(b) be the second derivative of 0*b**3 - 1/6*b**4 + 7*b + 0 - 1/2*b**2. Find the first derivative of u(g) wrt g.
-4*g
Let r(f) = -20*f**4 - 4*f**3 - 2*f**2. Let k(i) = -i**4 - i**3 + i**2. Let w(n) = -4*k(n) + r(n). Find the third derivative of w(a) wrt a.
-384*a
Let d(y) be the third derivative of y**6/60 + 3*y**4/8 - 14*y**2. What is the second derivative of d(v) wrt v?
12*v
Find the second derivative of 39*f**2 + 3805*f - 2*f**2 - 3819*f wrt f.
74
Let z(r) be the second derivative of r - 1/4*r**4 + 0*r**3 + 0*r**2 + 0 - 1/5*r**5. What is the third derivative of z(b) wrt b?
-24
Let b(d) be the second derivative of d**5/4 + 11*d**2/2 - 9*d. Find the first derivative of b(m) wrt m.
15*m**2
Let s(d) = 5*d**4 - 24*d**2 - 7. Let l(f) = 3*f**4 - 12*f**2 - 4. Let w(b) = -7*l(b) + 4*s(b). Find the third derivative of w(r) wrt r.
-24*r
Suppose -4*d + 3*w = -2*w - 3, d + 3 = 5*w. What is the derivative of 0*v**2 + v**d + 0 - 2 + 1 wrt v?
2*v
Let p(h) = -21*h**3 + 4*h**2 - 12*h + 4. Let g(a) = -41*a**3 + 9*a**2 - 25*a + 9. Let d(f) = -4*g(f) + 9*p(f). What is the second derivative of d(b) wrt b?
-150*b
Find the second derivative of -t**2 + 2*t**2 - t**2 + 9*t**5 + 4*t wrt t.
180*t**3
Let q(o) be the second derivative of 0*o**4 + 0*o**6 - 5/42*o**7 - 2/3*o**3 + 3*o + 0 + 0*o**5 + 0*o**2. What is the second derivative of q(l) wrt l?
-100*l**3
Let p = -3 + 3. Suppose 2*z + p*z = -3*l + 27, l = 5. What is the third derivative of -4*c - 4*c**2 + 4*c - 2*c**4 + z*c**2 wrt c?
-48*c
Let z(v) = v**3 - v**2 + v - 1. Let i(p) = 25 - 9*p - 10*p**3 - 13 + 9*p**2 - 8. Let r(w) = 2*i(w) + 18*z(w). What is the first derivative of r(g) wrt g?
-6*g**2
Let n(p) be the first derivative of -5*p**3/3 - 3*p**2 + 12. Find the second derivative of n(m) wrt m.
-10
Find the second derivative of -15*f**4 + 5*f**4 - 10*f**4 + 4*f**4 - 17*f wrt f.
-192*f**2
Let u(g) be the third derivative of -g**6/20 - g**4/8 - 3*g**2. What is the second derivative of u(z) wrt z?
-36*z
Let d(x) be the first derivative of -x**2/2 + 5*x + 1. Let u be d(3). What is the third derivative of 2*z**2 + z**2 - u*z**2 + z**5 wrt z?
60*z**2
Let r = 5 - 2. What is the third derivative of -2*q**2 - 4*q**3 + q**r + 0*q**2 wrt q?
-18
Let v(p) be the first derivative of -1 - p**4 + 0*p**2 - 1/3*p**3 + 0*p. Find the third derivative of v(b) wrt b.
-24
Let p(w) be the third derivative of -w**8/21 + 7*w**4/24 - 8*w**2. What is the second derivative of p(b) wrt b?
-320*b**3
Let t(l) be the first derivative of -l**7/280 - l**6/72 - l**3 - 2. Let b(m) be the third derivative of t(m). Find the third derivative of b(r) wrt r.
-18
Let s(r) be the third derivative of -r**4/6 + 5*r**3/6 + 3*r**2. Find the first derivative of s(y) wrt y.
-4
Differentiate 2*v**3 - 16*v**3 - 7 - 11 - 22*v**3 with respect to v.
-108*v**2
Let c(a) be the second derivative of -17*a**4/12 + 2*a**3/3 + 12*a. Find the second derivative of c(d) wrt d.
-34
Let a(i) be the third derivative of 1/8*i**4 + 0*i**6 - 1/210*i**7 + 0 + 0*i**3 + 0*i**5 + 0*i + 3*i**2. Find the second derivative of a(b) wrt b.
-12*b**2
Let x(s) be the first derivative of 8*s**5/5 - s - 6. What is the first derivative of x(f) wrt f?
32*f**3
Find the second derivative of 26*b + 2*b**2 + 3*b**2 - 17*b wrt b.
10
Let g(k) be the second derivative of 0*k**5 + 0*k**3 + 0*k**2 + 1/15*k**6 - k - 1/6*k**4 + 0. What is the third derivative of g(r) wrt r?
48*r
Let z(k) be the first derivative of -k**5/20 - 2*k**3/3 - 2*k**2 - 2. Let w(p) be the second derivative of z(p). Differentiate w(s) with respect to s.
-6*s
Let f be 1/1 + (-1 - 0). Suppose 5*v + 3*r - 31 = 5*r, 19 = 5*v + 2*r. What is the third derivative of -2*h**2 + h**