- 16. Let n(a) = x*u(a) + d(a). Differentiate n(f) with respect to f.
-8*f
Let a(f) = 4*f**2. Let w be a(-1). Find the third derivative of g**4 - g**2 - 3*g**w - 3*g**4 wrt g.
-120*g
Let c be -2 + 2 - 2 - -2. What is the derivative of -3 + 1 + c - 9*b**2 wrt b?
-18*b
Let f(i) be the second derivative of 13*i**8/56 + i**4/6 + 13*i. Find the third derivative of f(r) wrt r.
1560*r**3
Let o(g) be the first derivative of g**6 - 11*g**3/3 + 1. What is the third derivative of o(h) wrt h?
360*h**2
Let b(s) be the first derivative of -27*s**5/5 - 2*s - 46. Differentiate b(i) with respect to i.
-108*i**3
Let o(c) = 12*c - 10. Let j(y) = -11*y + 11. Let h(v) = 4*j(v) + 5*o(v). What is the first derivative of h(l) wrt l?
16
Let x be -1 - -4 - (-3)/3. Suppose 0 = -4*p - 5*c + 4 - 1, 0 = 3*p - x*c - 10. Find the second derivative of -3*i - 2*i**3 + 0*i**p + 0*i**3 + 0*i**2 wrt i.
-12*i
Let z be 56/9 - (-22)/(-99). What is the first derivative of -4 - 2 - z*b**3 + b**3 + 3 wrt b?
-15*b**2
Let k = 3 - 2. Suppose -p = -7 + k. Find the third derivative of -r**p + r**2 - r**6 + r**2 wrt r.
-240*r**3
Suppose 3*k + 32 = 4*l - 2*k, -23 = -5*l + 2*k. What is the second derivative of 2*g - 2*g**l + 4*g**3 + g wrt g?
12*g
What is the third derivative of 3*u**2 + 0*u**6 - 3*u**6 - 9*u**2 + 0*u**6 wrt u?
-360*u**3
Let w(x) = -6*x**2 - 5*x. Let p(g) = g**3 + 7*g**2 + 6*g. Let v(y) = 5*p(y) + 6*w(y). What is the third derivative of v(m) wrt m?
30
Let n(j) = -18*j**5 - j - 6. Let b(w) = -36*w**5 - 2*w - 11. Let x(d) = 6*b(d) - 11*n(d). What is the second derivative of x(s) wrt s?
-360*s**3
Let c(k) = -k**3 + 5*k**2 + 3. Let m be c(5). What is the third derivative of 0*a**4 + 6*a**4 + m*a**2 - a**2 wrt a?
144*a
Let m(x) = 9*x + 18. Let z(c) = 1. Let w(l) = -m(l) + 27*z(l). Differentiate w(k) with respect to k.
-9
Suppose 2*a - 5 = 3. Suppose 3*t - 39 = -4*q - 12, -t - 7 = -a*q. Find the first derivative of -2 - 5*d + 2*d**q + 5*d wrt d.
6*d**2
Let k be -2 + 2 + 4*1. Suppose -4*h - k*s = 0, -19 = -4*h + 2*s - 1. What is the third derivative of 1 + 3*x**2 - h*x**3 - 1 wrt x?
-18
Suppose 5*l + 6*a = 2*a - 22, -5*l - 40 = -5*a. Let t = 13 + l. What is the second derivative of -t*m**3 + 10*m**3 - 3*m - m wrt m?
18*m
Differentiate 20 + 33*h**3 - 14 - 5*h**3 + 19 wrt h.
84*h**2
Let r(a) be the third derivative of 11*a**5/15 - a**3/3 - 27*a**2. Find the first derivative of r(t) wrt t.
88*t
Let u be (-1)/1*2 + 7. Suppose 0 = 2*z + z. Find the second derivative of j + 0*j**u + z*j - j**5 wrt j.
-20*j**3
Let l(w) be the first derivative of w**6/6 - 8*w**3/3 + 4. Let m(s) = -9*s**2. Let j(k) = -4*l(k) + 3*m(k). Find the third derivative of j(g) wrt g.
-240*g**2
Let o be -2 + ((-6)/(-1) - 2). Suppose 7 = 4*y - 1. What is the second derivative of 4*v**2 - y*v**4 + o*v - 4*v**2 wrt v?
-24*v**2
Let v(d) = -d**3 - 5*d**2 + 5. Let o be v(-5). Let m = -3 + o. What is the third derivative of x**3 + 3*x**4 - x**3 - m*x**2 wrt x?
72*x
Find the third derivative of 7*w**4 + w**2 + 11*w**4 - 8*w**4 wrt w.
240*w
Suppose -10 = -8*k + 3*k. What is the second derivative of -k*o + 2*o + 2*o - 3*o - 3*o**2 wrt o?
-6
Find the second derivative of -3*n + 24*n**3 - 16*n**3 - 8*n wrt n.
48*n
Let u be ((-2)/4)/(1/(-4)). Suppose u*m - 8 = -0*m. What is the second derivative of -y**4 - m*y + 5*y + 0*y**4 + 2*y**4 wrt y?
12*y**2
What is the third derivative of 10*c**2 - 73*c**2 + 34*c**2 - 35*c**3 wrt c?
-210
Let q = -42 - -59. What is the second derivative of l + 17*l**4 + 2*l**5 - q*l**4 wrt l?
40*l**3
Let n(f) = -195*f**4 + 208*f**2 - 13*f. Let v(w) = 78*w**4 - 83*w**2 + 5*w. Let p(z) = -5*n(z) - 13*v(z). Find the third derivative of p(l) wrt l.
-936*l
Let o(f) be the second derivative of 9*f**8/56 - f**4/2 - 2*f. Find the third derivative of o(u) wrt u.
1080*u**3
Suppose 8*x - 3*x - 10 = 5*f, 5*x + f - 16 = 0. Suppose x = 3*u - 9. Find the first derivative of -o - 1 + 5*o - u*o - 3*o**2 wrt o.
-6*o
Let p(q) = q**3 + q**2. Let l(n) = -8*n**3 - 3*n**2 - 3*n. Let v(d) = -l(d) - 3*p(d). What is the second derivative of v(f) wrt f?
30*f
What is the third derivative of -4*o**6 + 9*o**2 + 4*o - 4*o - 2*o**6 wrt o?
-720*o**3
Let k(c) = 10*c**3 + 5*c**2 + 11. Let a(r) = -11*r**3 - 6*r**2 - 12. Let f(x) = 5*a(x) + 6*k(x). What is the derivative of f(u) wrt u?
15*u**2
Let h(b) = -b**3 + 5*b**2 + 5*b - 7. Let l(u) = -3*u**2 - 3*u + 4. Let a = 6 - 3. Let d(o) = a*h(o) + 5*l(o). What is the derivative of d(q) wrt q?
-9*q**2
Let g(f) be the first derivative of 53*f**4/4 + 46*f - 54. What is the derivative of g(y) wrt y?
159*y**2
Let d(z) = z + 4. Let w be d(0). Suppose -2*g - 10 = -2*r + w*r, 0 = -r - 3*g - 15. Find the third derivative of 2*t**4 + r*t**4 - 5*t**4 + 3*t**2 wrt t.
-72*t
Let c(j) = 7*j. Let d(l) be the first derivative of l**3/3 - 3*l**2 + 3. Let u(f) = 2*c(f) + 3*d(f). What is the second derivative of u(q) wrt q?
6
Let c(z) be the first derivative of z**9/168 - z**5/20 + z**2 + 1. Let p(o) be the second derivative of c(o). What is the third derivative of p(m) wrt m?
360*m**3
What is the first derivative of 31 + 29 - 14*l**4 - 55 wrt l?
-56*l**3
Let g(f) be the first derivative of 8*f**5/5 + 13*f + 12. What is the derivative of g(o) wrt o?
32*o**3
Let r = -39 + 61. Let y be 2/8 + r/8. What is the second derivative of -n - 4*n**3 + y*n + 3*n**3 wrt n?
-6*n
Let q be (-6)/9*(-1 + -2). Differentiate 4 - 2*n**q + 0 - 1 wrt n.
-4*n
What is the third derivative of 70*u**2 - 41*u**2 - 4*u**3 + 19*u**3 wrt u?
90
Let o = 5 - -1. What is the third derivative of -o*l**2 + 4*l**2 + 3*l**3 + 3*l**2 - 4*l**2 wrt l?
18
What is the second derivative of -2*i**2 - 7 - 6 + 13 - 11*i wrt i?
-4
Let o(u) be the first derivative of u**4/4 - 11*u**3/3 - 5. What is the third derivative of o(g) wrt g?
6
Suppose -20 = 4*j, -3*n + 2*j + 24 = -j. Suppose -3*z + 6 = -0*z + 3*p, 0 = 4*z + n*p - 8. What is the second derivative of 4*c**2 + 4*c + c**2 - 3*c**z wrt c?
4
Let c(f) = f**2 + 7*f - 10. Let x be c(-7). Let q be (x/(-15))/(2/15). Find the second derivative of 2*i + i - q*i - i**4 wrt i.
-12*i**2
Let j = -19 - -22. What is the derivative of -9*a**4 + 13*a**4 + 0*a**j - 7 + 0*a**3 wrt a?
16*a**3
Suppose -2*f - 6 = 4*g, 3*f + 4 = -5*g - 2. Differentiate f*i**2 + 0*i**2 - 5*i**2 - 11 + 14 wrt i.
-4*i
Let m = 17 + -15. What is the second derivative of -2*c**3 + 3*c**3 - m*c + c + 0*c**3 wrt c?
6*c
Let a(w) = 25*w**4 + 4*w**2 + 13*w - 4. Let k(n) = -75*n**4 - 11*n**2 - 40*n + 11. Let z(s) = 11*a(s) + 4*k(s). Find the second derivative of z(h) wrt h.
-300*h**2
Differentiate 8 + 7*d**2 + 5 - 12 with respect to d.
14*d
Let k = 3 + -1. Suppose k*u - 3 = 1. Find the third derivative of -5*y**u + 3*y**2 + 4*y**5 - 6*y**5 wrt y.
-120*y**2
Let t(v) be the second derivative of v**8/2240 + v**5/40 + v**4/3 - 4*v. Let s(y) be the third derivative of t(y). Differentiate s(w) with respect to w.
9*w**2
Let u(v) = 3*v - 6. Let r be u(3). Find the second derivative of -b**3 + 0*b**2 - r*b + 0*b**2 wrt b.
-6*b
Let z(g) = -2*g + 4. Let s(u) = 2*u - 4. Let d be (6/4)/((-3)/(-16)). Let l = d - 13. Let p(c) = l*z(c) - 6*s(c). Differentiate p(r) with respect to r.
-2
Let l(y) be the first derivative of -5/2*y**2 + y**5 + 0*y + 0*y**3 + 0*y**4 + 4. What is the second derivative of l(a) wrt a?
60*a**2
Let i be (4/(-5))/(2/(-5)). What is the third derivative of -15*c**2 + 5*c**4 - i*c**4 + 19*c**2 wrt c?
72*c
Find the third derivative of 12*u**2 - u**3 - 2*u**3 - 17*u**2 wrt u.
-18
Let n = 80 - 45. What is the third derivative of 2*a**2 + 2*a**2 + n*a**3 - 41*a**3 wrt a?
-36
Suppose c - 3*v = 1, 3*c + 2 = -2*v + 5. Differentiate -4*l + 3*l**2 + 4*l - 6*l**2 + c with respect to l.
-6*l
Let o(b) = -24*b**2 - 10*b - 6. Let l(x) = x**2 + 1. Let k(m) = -6*l(m) - o(m). Find the second derivative of k(w) wrt w.
36
Suppose -3*o - u = -0*o - 23, 15 = 3*u. Let l = 5 + -2. Differentiate -3 - l*y + 5*y + o with respect to y.
2
Let q = -2 - 0. Let z be q/(-4)*8/2. What is the third derivative of f**2 + 2*f**5 - 2*f**5 + z*f**6 wrt f?
240*f**3
Let n(c) = -c - 1. Let t be n(-1). Suppose 5*f - 3*s - 27 = t, 2*f + 2*s - 4 = -2*f. Find the second derivative of -f*x + 4*x**4 + 5*x - 2*x**4 wrt x.
24*x**2
Let c be 8/(3*(-2)/(-3)). What is the first derivative of c*w**2 + 3 - 3*