**6 + 0*b + 0*b**3 + 1/60*b**5 + 0*b**4 + 0 + 1/210*b**7 + 3*b**2. Find the third derivative of a(c) wrt c.
24*c
Let a(z) = -38*z**4 - 7*z**3 + 39*z**2 + 7*z. Let v(y) = 37*y**4 + 6*y**3 - 38*y**2 - 6*y. Let r(x) = 6*a(x) + 7*v(x). Find the third derivative of r(f) wrt f.
744*f
Let f(v) = 5*v**2 + 4*v - 6. Let l(a) = 5 + 9 - 1 - 11*a**2 - 9*a. Let d(j) = -13*f(j) - 6*l(j). Find the second derivative of d(i) wrt i.
2
Suppose -4 = -3*y + 5, -5*c - y = -13. Suppose -4*u - 10 = -2*o, 0 = o + 5*u - 4 - 1. Find the second derivative of -c*q**5 + 0*q**o + q + q**5 wrt q.
-20*q**3
Let q(j) = 43*j**2 - 23. Let m(a) = 22*a**2 - 11. Let g(i) = -7*m(i) + 3*q(i). Find the first derivative of g(v) wrt v.
-50*v
Let x(w) be the first derivative of w**4/4 - 2*w + 7. What is the derivative of x(q) wrt q?
3*q**2
Let a(p) be the third derivative of -p**6/60 - 7*p**5/60 - p**4/12 - p**3 + 14*p**2 - p. What is the second derivative of a(n) wrt n?
-12*n - 14
Suppose 0 = -4*q + 2 + 2. Let t(s) = -s**3 + 7*s**2 + 7*s + 11. Let o be t(8). Differentiate 2*m**3 + m**2 - m**2 - q + m**o with respect to m.
9*m**2
Let g be 4/(-6)*(-75)/10. Let i = g + -3. What is the first derivative of 2*k**2 - 4 + i + 1 wrt k?
4*k
Let k(x) be the first derivative of -5*x**6/6 - x**3 + 2. Find the third derivative of k(b) wrt b.
-300*b**2
Let k(y) = 5*y**3 - 11*y**3 - y**4 + 9*y**3 - 1. Let v(w) = -2*w**4 + 2*w**3 - 1. Suppose -4 - 4 = 4*s. Let l(g) = s*k(g) + 3*v(g). Differentiate l(n) wrt n.
-16*n**3
Let o(i) = -9*i - 10. Let b(c) = 17*c + 19. Let f(m) = -6*b(m) - 13*o(m). What is the derivative of f(r) wrt r?
15
Let s(v) be the first derivative of -2*v**5/5 - 9*v**2/2 - 11. What is the second derivative of s(j) wrt j?
-24*j**2
Let z = -5 + -10. Let d = 21 + z. What is the second derivative of -2*f**2 + 5*f**2 + 4*f - d*f wrt f?
6
Let g(d) be the third derivative of 7*d**4/24 - 11*d**3/6 + 10*d**2. Differentiate g(r) with respect to r.
7
Let r = 6 - 3. Let n(l) be the second derivative of -3*l + 1/15*l**6 - l**2 + 0*l**4 + 0 + 0*l**r + 0*l**5. Differentiate n(g) wrt g.
8*g**3
Let w(l) = l**2 + l - 1. Let k(n) = 4*n**4 - 3*n**2 - 6*n + 6. Let c(b) = k(b) + 6*w(b). What is the third derivative of c(m) wrt m?
96*m
Let f(t) = -5*t - 1. Let c be f(-1). Suppose u = 4*u - 3*s + 6, -5*u = -c*s + 5. Find the second derivative of -u*x - x - 2*x**3 + 2*x wrt x.
-12*x
Let d(j) = -4*j**3 - 3*j**2 - 25*j. Let v(g) = -3*g**3 - 2*g**2 - 23*g. Let z(f) = 2*d(f) - 3*v(f). What is the second derivative of z(k) wrt k?
6*k
What is the third derivative of -g + 6*g**2 - 6*g**2 + 2*g**5 + 22*g**4 - 19*g**4 + 27*g**2 wrt g?
120*g**2 + 72*g
Let b = 10 + -8. Differentiate 6*c + b + 0 - 7 with respect to c.
6
Let n(x) be the second derivative of 3*x**5/20 - x**3/3 + 2*x. What is the second derivative of n(v) wrt v?
18*v
What is the derivative of -3*y**3 + 2*y**3 + 2*y**3 + 6*y**3 + 17 wrt y?
21*y**2
Let i = -2 - -4. Find the third derivative of 0*h**2 + 3*h**i + h**3 - 4*h**2 wrt h.
6
Suppose 3*w - 3*p - 18 = 2*w, 3*p + 42 = 3*w. What is the derivative of 0*g**3 + 9 - w - 4*g**3 wrt g?
-12*g**2
Let a(l) be the third derivative of l**8/42 - l**5/3 - 39*l**2. Find the third derivative of a(x) wrt x.
480*x**2
Let o(y) = -9*y - 47. Let k(u) = 2*u - 1. Let b(h) = 3*k(h) + o(h). What is the derivative of b(p) wrt p?
-3
Differentiate -10*m - 4*m + 22*m + 17 with respect to m.
8
Differentiate -2 + 5*p**3 - 2 - 8 + 4 with respect to p.
15*p**2
Let v(w) be the first derivative of 19*w**5/5 + 22*w + 9. Differentiate v(g) with respect to g.
76*g**3
Find the third derivative of 5*y**2 - 6*y**2 + 13*y**3 - 3*y**2 - y**2 wrt y.
78
Let f(a) be the third derivative of a**6/360 + a**5/40 - a**3/6 + 5*a**2. Let z(m) be the first derivative of f(m). Find the second derivative of z(d) wrt d.
2
Let m(f) = -f**2 + 12*f + 1. Let c be m(12). Find the second derivative of -7 + 6 + 3*x + c - 5*x**5 wrt x.
-100*x**3
Let l(k) = -k**2 - 1. Let v(o) = -9*o**3 + 5*o**2 - 9*o + 5. Let y(r) = -5*l(r) - v(r). Find the second derivative of y(c) wrt c.
54*c
Let b(f) be the second derivative of -21*f**5/20 + 15*f**2 + 20*f. Differentiate b(w) wrt w.
-63*w**2
Find the third derivative of -5*z**2 - 2*z**4 - 3*z**4 - 4*z**6 + 5*z**4 wrt z.
-480*z**3
Let g = 2 + -2. What is the first derivative of -j**4 + g - 1 + 2 wrt j?
-4*j**3
Suppose 16 = -2*m + 5*r, -11 - 13 = -2*m - 5*r. Find the third derivative of 3*k**2 - m*k**4 + 3*k**5 + 2*k**4 - 6*k**5 wrt k.
-180*k**2
Let b(c) = -3 + 5*c**3 + 4 - 6*c**3. Let y(u) = 3*u**3 - 4*u**2 - 6. Let g(f) = 6*b(f) + y(f). What is the third derivative of g(x) wrt x?
-18
Let b(o) = -o**2. Let d(l) be the third derivative of -l**4/24 + 5*l**2. Let u(r) = 5*b(r) - 6*d(r). What is the second derivative of u(n) wrt n?
-10
Suppose 0 = -0*z - 2*z + 8. Find the second derivative of -6*c + 5*c - c + c**5 - z*c**5 wrt c.
-60*c**3
Let b(y) be the third derivative of -11*y**8/336 - 11*y**4/24 - 8*y**2. What is the second derivative of b(u) wrt u?
-220*u**3
Let b(s) = -s**4 - s**3 + s**2 - s + 1. Let i(y) = 3*y**3 - 3*y**2 - 2*y - 3. Let l(m) = -3*b(m) - i(m). Find the second derivative of l(q) wrt q.
36*q**2
Let d = -2 + 2. Suppose k + d - 4 = 0. Find the second derivative of -3*i + k*i + 2*i**3 - 3*i - i**3 wrt i.
6*i
Let d = 0 + 4. Suppose -4*f - 20 = -4*w, -d*w = -5*w + 5*f + 13. What is the third derivative of -2 + h**2 - 7*h**3 + 2 + 9*h**w wrt h?
12
Let p(i) = 5*i**4 - 11*i**2 + 5*i - 5. Let r(z) = 2*z**4 - 6*z**2 + 3*z - 3. Let x(m) = 6*p(m) - 10*r(m). Find the third derivative of x(q) wrt q.
240*q
Let l(f) be the second derivative of -5*f**8/14 + 5*f**4/6 + 17*f. Find the third derivative of l(q) wrt q.
-2400*q**3
Find the third derivative of -8*a**2 + 2*a + 15*a**2 - 2*a + 12*a**4 wrt a.
288*a
Let l(y) = -2*y - 5. Let p be l(-5). What is the third derivative of -4*r**2 - r**5 - r**5 + 0*r**5 - r**p wrt r?
-180*r**2
What is the first derivative of p + 5*p - 7 + p wrt p?
7
Let y(t) = -t**3 - 10*t**2 - 9*t + 2. Let z be y(-9). Suppose 2*j - z - 2 = 0. Differentiate -j*h**2 - 2 + 0*h**2 - 1 - h**2 with respect to h.
-6*h
Let z(r) = 5*r**3 + r**2 - 2*r + 2. Let y(w) = 11*w**3 + 2*w**2 - 5*w + 5. Let v(c) = 2*y(c) - 5*z(c). Find the third derivative of v(a) wrt a.
-18
Let m(g) = 8*g**2 + 6*g - 9. Let f(b) = 9*b**2 + 5*b - 10. Let c(y) = -6*f(y) + 5*m(y). Differentiate c(w) with respect to w.
-28*w
Let q(r) be the second derivative of -r**6/10 - 2*r**4/3 - 5*r. Find the third derivative of q(n) wrt n.
-72*n
Suppose -2*f = -71 - 3. Let b be 6/(-21) + f/7. What is the third derivative of 0*i**5 - 5*i**4 + 5*i**4 - 4*i**b - 4*i**2 wrt i?
-240*i**2
Let y(p) = p**2 - p - 2. Let n(m) = -m**2 + 6*m - 2. Let h be n(5). Let j be y(h). Differentiate 0 + i**4 + j - 5 with respect to i.
4*i**3
Let y(w) = 150*w**3 - 12*w**2 - 12*w + 60. Let g(s) = -60*s**3 + 5*s**2 + 5*s - 24. Let l(n) = -12*g(n) - 5*y(n). What is the derivative of l(i) wrt i?
-90*i**2
Find the first derivative of 0 - 18 + 16*r**4 + 3 wrt r.
64*r**3
Let p(y) be the second derivative of -y**4/12 + 3*y**3/2 - 3*y. What is the second derivative of p(z) wrt z?
-2
What is the derivative of 4*t - 7 - 7 + 7 - 1 wrt t?
4
Let l(g) = -25*g**4 + 36*g. Let p(n) = -76*n**4 + 109*n. Let s(y) = 17*l(y) - 6*p(y). What is the second derivative of s(r) wrt r?
372*r**2
Find the third derivative of -7*r**4 + 65*r**2 - 18*r**2 + 5*r**3 - 38*r**2 - 45*r**2 wrt r.
-168*r + 30
Let d(j) = j - 7. Suppose 25 = 9*o - 4*o. Let u(i) = -i + 8. Let y(a) = o*d(a) + 4*u(a). What is the first derivative of y(g) wrt g?
1
Let h be ((-2)/4)/(1/2). Let a be (-2)/(0/h - 2). Find the third derivative of -u**2 - 3*u**3 - 1 + a wrt u.
-18
What is the second derivative of 5*f**4 + 65 + 0*f - 65 - 2*f wrt f?
60*f**2
Let l(c) = c**2 + c. Let b(u) = -20*u**2 - 7*u - 7. Let p(t) = 2*b(t) + 14*l(t). What is the derivative of p(y) wrt y?
-52*y
Find the third derivative of 7*f**2 - 14*f**6 + 5*f**6 + 6*f**6 - 20*f**2 wrt f.
-360*f**3
Find the second derivative of -q + q**2 + q**2 + q**2 - q wrt q.
6
Let z(v) = v - 10. Let d be z(12). Let p be 1 + 1 - (0 + 0). What is the first derivative of -1 - 4*u**2 + 2*u**p + u**d wrt u?
-2*u
Find the second derivative of 30 - 6*c**4 - c + 0*c - 30 wrt c.
-72*c**2
Let b(p) be the third