8*l
Let b(o) be the second derivative of o**9/3780 + o**6/360 - o**4/12 - o. Let k(p) be the third derivative of b(p). Find the second derivative of k(r) wrt r.
48*r**2
Suppose q + q - 4 = 0. What is the first derivative of -3*u + 8*u - 4*u + q wrt u?
1
Find the second derivative of 3 + 6*g - 10*g**3 - 3 + 10*g wrt g.
-60*g
Let o(r) be the second derivative of 1/30*r**6 + 0*r**3 - 1/3*r**4 + 2*r + 0*r**2 + 0*r**5 + 0. Find the third derivative of o(u) wrt u.
24*u
Let c(g) = 8*g**3 + 6*g**2 - 5*g + 6. Let n(i) = -23*i**3 - 17*i**2 + 15*i - 17. Let m(z) = 17*c(z) + 6*n(z). What is the second derivative of m(t) wrt t?
-12*t
Let g(o) be the third derivative of -o**7/420 + o**5/40 + o**4/12 - 4*o**2. Let d(u) be the second derivative of g(u). Differentiate d(f) with respect to f.
-12*f
What is the derivative of 0*w**4 - 17*w**4 - 41*w**4 + 10 wrt w?
-232*w**3
Let z(u) be the second derivative of -21*u**5/10 - u**3/2 + 7*u**2/2 - 12*u + 1. What is the second derivative of z(v) wrt v?
-252*v
Let v be (6 - 5) + 4/2. Find the second derivative of 5*d**3 + 3*d - 5*d**v + 2*d**4 + 0*d**4 wrt d.
24*d**2
Let w(f) be the first derivative of f**6/90 + f**5/30 + f**3 - 4. Let r(t) be the third derivative of w(t). Find the second derivative of r(q) wrt q.
8
Let y be 2 - (-1 - (-4 - -3)). What is the third derivative of -6*r**4 - 4*r**2 - r**2 - r**y wrt r?
-144*r
Suppose 2*f = 5*f - 6. Let x = 19 - 17. What is the third derivative of -u**x - f*u**3 - u**2 + 0*u**2 wrt u?
-12
Let s(r) be the third derivative of -r**8/42 + r**4/6 - 4*r**2. Find the second derivative of s(p) wrt p.
-160*p**3
Let i(u) be the first derivative of -11*u**5/5 + 9*u**2/2 - 4. Find the second derivative of i(v) wrt v.
-132*v**2
Let x = -1 - -2. Let g be (-21)/(-4) - x/4. Find the first derivative of 2 - 3*b**2 + g*b**2 - 4*b**2 wrt b.
-4*b
Find the third derivative of 2*w**2 - 9*w**2 - 20*w**4 + 19*w**4 wrt w.
-24*w
What is the third derivative of 6*b**5 - 7*b**5 + 11*b**5 + 3*b**5 - 12*b**2 wrt b?
780*b**2
Suppose -4*l - l + 15 = 0. Let y(o) be the first derivative of 0 - l*o - 1 + 2*o + o**2. Find the first derivative of y(w) wrt w.
2
Let z(b) be the third derivative of -3*b**6/40 - b**5/10 + 10*b**2. What is the third derivative of z(a) wrt a?
-54
Let g(x) be the second derivative of x**10/10080 + x**6/240 + x**4/12 - 3*x. Let f(b) be the third derivative of g(b). Find the second derivative of f(n) wrt n.
60*n**3
Let y(i) = -i**3 + 5*i**2 + 2. Let w be y(5). Find the third derivative of -14*k + 14*k + 4*k**w - k**4 wrt k.
-24*k
Suppose u = 6*u. What is the second derivative of -z**3 + u*z**3 + z - 4*z - 3*z**3 wrt z?
-24*z
Let f(g) = -11*g**3 - 25*g - 9. Let h(m) = -5*m**3 - 12*m - 4. Suppose -3*z + 4 = -2*z. Let d(j) = z*f(j) - 9*h(j). What is the second derivative of d(x) wrt x?
6*x
What is the third derivative of -13*j**2 - 3*j**6 - 2*j**2 - 17*j**6 + 6*j**2 wrt j?
-2400*j**3
Let l(s) = -s**4 - s**3. Let i(o) = -6*o**5 + 5*o**4 + 5*o**3 + 4*o. Let j(a) = -i(a) - 5*l(a). What is the second derivative of j(n) wrt n?
120*n**3
Let q(i) = i**2 - i. Let l(p) = 3*p**2 - 14*p. Let o(g) = -l(g) + 5*q(g). Find the second derivative of o(c) wrt c.
4
Let j(k) = -k + 2. Let n be j(-4). Differentiate -1 - i + n*i + 4*i**3 - 5*i wrt i.
12*i**2
Let b(r) = 2*r. Let t be b(4). Suppose 3*z = -z + t. Find the second derivative of 5*a - z*a - 2*a + 2*a**4 wrt a.
24*a**2
Let h(i) = i**3 - 4*i**2 + 2*i - 6. Let k be h(4). Suppose -t = k*t. Find the first derivative of -2 + t*d**2 - 5*d**2 + 3*d**2 wrt d.
-4*d
Let n(m) be the first derivative of 9*m**4/4 - 7*m + 16. What is the derivative of n(z) wrt z?
27*z**2
Differentiate -20 + 17*y**2 + 5 + 13 wrt y.
34*y
Let p = 5 + 0. What is the second derivative of 39*o - 3*o**5 + 2*o**5 - 34*o + 5*o**p wrt o?
80*o**3
Let y(m) = -18*m - 7. Let f(z) = 17*z + 5. Let v(b) = 7*f(b) + 6*y(b). Find the first derivative of v(p) wrt p.
11
Suppose 3*s - 21 = 3*h, 5*h + 16 = -9. Suppose 0 = -s*o + 17 - 5. Find the third derivative of 4*f**3 - 2*f**2 - f**2 - 4*f**3 + 2*f**o wrt f.
240*f**3
Let c(n) be the third derivative of -n**8/560 + n**6/90 - 5*n**3/6 - 9*n**2. Let b(g) be the first derivative of c(g). Find the third derivative of b(l) wrt l.
-72*l
Let a be (9/2 + -3)*6. Find the second derivative of -2*b + a + 6*b**3 - 9 wrt b.
36*b
Let d(k) be the third derivative of k**5/30 - 3*k**4/8 + 11*k**2. What is the second derivative of d(v) wrt v?
4
Let z = -7 + 4. Let l(v) = -7*v**4. Let w(d) = -d**4 + d. Let s(y) = z*w(y) + l(y). Find the second derivative of s(b) wrt b.
-48*b**2
Let y = -4 + 8. Find the first derivative of -4*g**4 + 5 + 0*g**y + g**4 + 2*g**4 wrt g.
-4*g**3
Let n(u) be the first derivative of 16*u**5/5 - 8*u - 18. Differentiate n(g) wrt g.
64*g**3
Let z be -2*2/4*-15. Suppose 0 = 5*v - z, 3 = -3*h - v + 4*v. What is the derivative of -o**4 - 5 + 3*o**4 + h*o**4 + 1 wrt o?
16*o**3
Let m = -11/2 + 7. Let v(w) be the second derivative of 1/20*w**5 + 0*w**3 + 0 + m*w**2 + 0*w**4 + 3*w. What is the derivative of v(i) wrt i?
3*i**2
Let c be 1*(-2)/6*0. Suppose 0*t + 5*t = c. Find the second derivative of 2*a**4 - a**4 - 3*a + t*a wrt a.
12*a**2
Let h(z) = -z**2 + 8*z - 14. Let q(x) = 3*x - 5. Suppose -9 = -n + 4*n. Let f(w) = n*h(w) + 8*q(w). Differentiate f(p) with respect to p.
6*p
Suppose l + 60 = 5*z, -4*l + l = 0. Suppose -3*a - z = -7*a. What is the derivative of h + 0 - 3*h - a wrt h?
-2
Find the second derivative of 4*g + 2*g + 13*g**3 - 5*g + 0*g**3 wrt g.
78*g
Let v(l) be the second derivative of 0*l**3 + 0 + 0*l**4 + l**2 - 3/20*l**5 - l. Find the first derivative of v(s) wrt s.
-9*s**2
Let q(z) be the third derivative of z**4/6 - 3*z**3/2 + 4*z**2. Let p(h) = -4*h + 10. Let c(k) = -4*p(k) - 5*q(k). Differentiate c(s) with respect to s.
-4
Let t(k) = 3*k**4 + 2*k**3 - 2*k + 10. Let h(y) = -11*y**4 - 9*y**3 + 9*y - 41. Let l(x) = 2*h(x) + 9*t(x). Find the first derivative of l(z) wrt z.
20*z**3
Let y be 4/8 + 2/4. Differentiate -3*s + y - 6*s + 3*s with respect to s.
-6
Let y be 4/18 + (-32)/(-18). What is the third derivative of -2*d**3 + y*d**3 - 2*d**2 - 4*d**3 + 0*d**2 wrt d?
-24
What is the third derivative of -56*d**6 + 9*d**2 + 5*d**2 + 58*d**6 wrt d?
240*d**3
Let f(v) = 3*v**3 - v**2 + v - 1. Let k be f(1). Differentiate -5 - 4*b - 2*b + k*b wrt b.
-4
Let g = 13 + -12. What is the second derivative of -7*w**5 - 9 + 9*w + 8 + g wrt w?
-140*w**3
Suppose 0*h + 2*h = 4*l + 30, 3*l + 5 = -2*h. Let m = -6 + 8. Find the third derivative of -2*t**h - t**2 + t**2 + 2*t**m wrt t.
-120*t**2
Let p(s) be the third derivative of 0*s**4 - 1/20*s**5 + 0*s**3 + 0*s + 0 - s**2 + 0*s**6 - 1/70*s**7. What is the third derivative of p(o) wrt o?
-72*o
Suppose -2*f = -2 - 2. Suppose 0 = s - 3*s - 2, f*t - 2*s - 8 = 0. Find the third derivative of -4*d**2 + 5*d**2 + 2*d**3 - 4*d**t wrt d.
-12
Let r(q) = 5*q - 2. Let w be r(2). Let x(i) = -i**2 + 9*i - 6. Let j be x(w). Find the first derivative of -2*p + j + 0*p + 0*p wrt p.
-2
Let o(q) be the first derivative of q**2 + q - 1/6*q**3 + 2. Let z(y) be the first derivative of o(y). What is the derivative of z(m) wrt m?
-1
Let a(q) = -q + 13. Let k be a(9). Let x be 5*1/(10/k). What is the third derivative of -4*w**3 - 2*w**5 + w**2 + 3*w**x + 4*w**3 wrt w?
-120*w**2
Let f(g) be the first derivative of -11*g**8/336 + g**4/4 - 3*g**2/2 - 4. Let j(t) be the second derivative of f(t). Find the second derivative of j(x) wrt x.
-220*x**3
Find the third derivative of -7*g**2 + 0*g**2 - 3*g**6 - g**2 wrt g.
-360*g**3
Let a = 9 - -1. Suppose a = s + 4*s. Find the second derivative of l + 3*l**s + 18 - 18 wrt l.
6
Let y(i) be the third derivative of -i**7/70 - 5*i**3/3 + 4*i**2. Differentiate y(b) wrt b.
-12*b**3
Let n(s) be the second derivative of s**7/840 + s**6/360 - s**4/4 + s. Let p(d) be the third derivative of n(d). What is the second derivative of p(j) wrt j?
6
Suppose 34 + 6 = 2*k. What is the second derivative of -20*v**2 + k*v**2 - 3*v**4 + 9*v wrt v?
-36*v**2
Let d(w) = -16*w**4 + 13*w**3 - 3. Let t(l) = -8*l**4 + 6*l**3 - 2. Let u(k) = -6*d(k) + 13*t(k). Differentiate u(g) wrt g.
-32*g**3
Let c(b) be the third derivative of -b**5/60 - 7*b**4/8 - 15*b**2. What is the second derivative of c(h) wrt h?
-2
Let c(v)