l(n) = i*a(n) + v(n). Find the third derivative of l(u) wrt u.
-30
Let k(v) = 19*v**2 + 2*v + 1. Let m be k(-1). What is the second derivative of -4*h**3 - 14*h + m*h - h**3 wrt h?
-30*h
Let u(h) = -11*h**2 - 9*h - 3. Let s(w) = w + 1. Let m(p) = 6*s(p) + u(p). What is the second derivative of m(n) wrt n?
-22
Let f(n) = 4*n. Let a be f(1). Differentiate -3*d**4 + 5 - 2*d**4 + d**a + d**4 wrt d.
-12*d**3
Let q(w) be the first derivative of -10*w**3/3 + 9*w + 39. Differentiate q(n) with respect to n.
-20*n
Let d(g) be the first derivative of -3*g + 1/3*g**4 - 2 - 2*g**2 + 0*g**3. Let a(k) be the first derivative of d(k). Differentiate a(o) with respect to o.
8*o
Let v(x) be the first derivative of x**8/420 - x**6/180 + 4*x**3/3 - 4. Let y(t) be the third derivative of v(t). Find the third derivative of y(h) wrt h.
96*h
Differentiate -k + 5*k + 26 - 31 wrt k.
4
Let w = -6 - -8. Suppose 0 = -2*g - w*g. Differentiate -4*u**3 + 2*u**3 + 1 + g*u**3 + 3 wrt u.
-6*u**2
Let h(w) be the first derivative of 11*w**4/4 + 9*w + 7. What is the derivative of h(j) wrt j?
33*j**2
Let z(t) be the second derivative of 6*t + 0*t**3 - 7/2*t**2 - 1/6*t**4 + 0. Find the first derivative of z(y) wrt y.
-4*y
Let a(f) be the second derivative of f**8/1680 + f**4/12 - f**3/2 - 3*f. Let w(o) be the second derivative of a(o). What is the derivative of w(x) wrt x?
4*x**3
Let l(x) = x**3 + 4*x**2 - 2*x - 6. Let k be l(-4). Find the third derivative of 3*u**5 + 11*u**k + u**5 - 16*u**2 wrt u.
240*u**2
Let g(x) be the first derivative of 3*x**4/2 + 7*x**2/2 - 8. What is the second derivative of g(i) wrt i?
36*i
Let o(d) be the third derivative of -d**8/336 + d**6/60 - d**3/6 - 3*d**2. Let l(h) be the first derivative of o(h). What is the third derivative of l(m) wrt m?
-120*m
Let v(c) be the third derivative of -13*c**8/336 + c**4/3 - 10*c**2. Find the second derivative of v(s) wrt s.
-260*s**3
Suppose -4*j + 3 = -5. What is the third derivative of -5*n**2 + j*n**4 + 6*n**2 - 6*n**2 wrt n?
48*n
Let n be 60/(-18) - 4/6. Let p(d) = d**3 + 5*d**2 + 4*d + 3. Let a be p(n). Find the second derivative of -2*j**a + 3 + 5*j**3 - j - 3 wrt j.
18*j
Find the third derivative of 31*j**2 + 66*j**2 + 5*j**3 - 55*j**2 wrt j.
30
Let g(z) = 4*z**2 + 3*z + 6. Let f(t) = 5*t**2 + 4*t + 7. Let v(r) = -6*f(r) + 7*g(r). Find the second derivative of v(q) wrt q.
-4
What is the derivative of 15*g - 15*g + 1 - 2*g**4 + 17*g**4 wrt g?
60*g**3
Let g(v) = 36*v**3 - 8*v + 37. Let h(i) = -24*i**3 + 5*i - 25. Let k(u) = -5*g(u) - 8*h(u). Differentiate k(s) wrt s.
36*s**2
Let m(k) be the third derivative of -k**4/6 + 4*k**3/3 - 7*k**2. Differentiate m(b) with respect to b.
-4
What is the third derivative of 17*p**4 + 2*p + 13*p**2 - 19*p**4 - 2*p wrt p?
-48*p
Let p(r) = r - 5. Let q be p(7). Find the third derivative of 2*n**5 - q*n**2 - n**2 + 0*n**5 wrt n.
120*n**2
Let n(y) = 3*y - 7. Suppose -3*z + 2*j = -13, 11 = 2*z - 2*j + 3. Let f(u) = z - 3 - u + 1. Let h(p) = 5*f(p) + 2*n(p). Differentiate h(g) with respect to g.
1
Let c(q) = 19*q**2 + 4*q + 24. Let v(a) = -20*a**2 - 3*a - 25. Let j(y) = -3*c(y) - 4*v(y). Differentiate j(t) with respect to t.
46*t
Let k(w) be the second derivative of -6*w + 3*w**2 + 2/3*w**4 + 0 + 0*w**3. Differentiate k(r) with respect to r.
16*r
Let u(y) = -75*y**3 + 8*y**2 + 48. Let r(w) = 50*w**3 - 5*w**2 - 32. Let m(q) = -8*r(q) - 5*u(q). What is the first derivative of m(x) wrt x?
-75*x**2
What is the third derivative of -5*v**5 + 102*v**2 - 106*v**2 + 12*v - 14*v + 5*v**4 wrt v?
-300*v**2 + 120*v
Let j(q) = q**2 + 11*q. Let f(a) = -2*a**2 - 21*a. Let k(d) = 6*f(d) + 11*j(d). Find the second derivative of k(w) wrt w.
-2
Let h(t) = t - 1. Let q(u) = -6*u + 5. Let p(s) = 5*h(s) + q(s). Let n be p(-3). Find the second derivative of -2*c + 0*c - n*c**3 + c wrt c.
-18*c
Let q(c) = c**3 + 1. Let d(m) = 15*m**3 - 15*m**2 - 6. Let u(l) = d(l) + 6*q(l). What is the third derivative of u(s) wrt s?
126
Let k(v) = v - 5. Let o be k(9). Suppose 12 = 3*i - h - o, i - 2 = -3*h. What is the third derivative of -a**2 - a**6 + i*a - 5*a wrt a?
-120*a**3
What is the third derivative of -28*c**2 - 8*c**4 - c**4 - c**4 + 21*c**2 wrt c?
-240*c
Suppose -5*i - 4*h = -9*h - 50, i - 14 = 2*h. Suppose f = 2*f - 6. Find the third derivative of -z**f + 3*z**6 - z**i + z**2 wrt z.
120*z**3
Let c(b) be the third derivative of 1/60*b**5 + 0*b**7 + 0*b**3 - 1/336*b**8 + 0 - 2*b**2 + 0*b + 0*b**6 + 0*b**4. What is the third derivative of c(g) wrt g?
-60*g**2
Suppose 12 + 3 = -5*m, 0 = b + 5*m + 9. Suppose x = b*x - 15. Find the third derivative of 0*y**3 + y**2 + 2*y**2 - y**x wrt y.
-6
Let p(c) = c**3 - 15*c**2 + 14*c + 3. Let t be p(14). Find the second derivative of 0*s**4 + 4*s**4 + t*s**4 + 9*s wrt s.
84*s**2
What is the third derivative of 21*p**2 + 13*p**3 - 7*p**2 - 6*p**3 wrt p?
42
Let t(q) = -19*q**5 + 17*q**2 - 6. Let z(w) = 38*w**5 - 34*w**2 + 11. Let k(b) = -11*t(b) - 6*z(b). What is the third derivative of k(h) wrt h?
-1140*h**2
Suppose 0*n + 3 = -3*n. Let a(s) = s**3 - 4*s**2 + 2. Let d(f) = -f**2. Let g(t) = n*a(t) + 4*d(t). What is the first derivative of g(y) wrt y?
-3*y**2
Let s be (-15)/(-2) - (-1)/(-2). Let w = s - 5. Find the second derivative of w*u + u**3 - 4*u + 5*u wrt u.
6*u
Let r(c) be the second derivative of -c**5/4 - c**2 + 14*c. What is the derivative of r(d) wrt d?
-15*d**2
Find the first derivative of -5*i**4 - 173*i + 11 + 173*i wrt i.
-20*i**3
Let r(i) = -i**3 + 3*i**2 + i - 1. Let v be r(3). Differentiate v - 5 + b**2 + 1 with respect to b.
2*b
Suppose -2*s - 24 = -2*r - 7*s, 2*s = -4*r + 16. Find the first derivative of -5*w**4 + r - 2 - 3 wrt w.
-20*w**3
Let i(j) be the third derivative of -j**2 + 0*j**3 + 0 + 0*j - 1/60*j**5 - 1/12*j**4. What is the second derivative of i(t) wrt t?
-2
Let g = 27 + -27. Let n(v) be the third derivative of -1/60*v**5 + 0*v - 2*v**2 + g*v**3 + 1/24*v**4 + 0. What is the second derivative of n(d) wrt d?
-2
Let j = -19 - -29. Suppose 4*o - 3*y = 6 + j, 20 = -5*y. Differentiate -o + 0 + 2*x**2 - 3*x**2 with respect to x.
-2*x
What is the third derivative of -1514*c**3 - 60*c**4 + 1514*c**3 - 31*c - c**2 wrt c?
-1440*c
Find the second derivative of 32 - 17 + 7*u**2 - 7*u - 15 wrt u.
14
Let u(t) be the second derivative of 0*t**2 - 7*t - t**3 + 0 + 0*t**5 + 0*t**4 - 2/15*t**6. Find the second derivative of u(m) wrt m.
-48*m**2
Suppose -2*p = -0*p. Let j(y) be the second derivative of 0*y**5 + 1/6*y**3 + p + 0*y**2 + y + 0*y**4 - 1/10*y**6. Find the second derivative of j(t) wrt t.
-36*t**2
Let v(m) be the third derivative of -m**7/70 + m**5/15 + 16*m**2. What is the third derivative of v(l) wrt l?
-72*l
Find the third derivative of d**2 - 2*d**2 + 8*d**4 - 9*d**4 + 14*d**4 wrt d.
312*d
Let y(b) = b**2 + 8*b + 5. Let i be y(-8). Find the second derivative of v - 4*v**5 + 0*v**i + 2*v**5 - 3*v wrt v.
-40*v**3
Let j(w) = -w - 3. Let k be j(-7). Let i(s) = -s**3 + 5*s**2 - 3*s - 2. Let b be i(k). What is the second derivative of u + u + 4*u**2 - 6*u**2 + 4*u**b wrt u?
4
Suppose -3 = -3*f - 12. Let a(o) = 8*o**4 + 3*o**3 + 3*o + 8. Let z(u) = -9*u**4 - 2*u**3 - 2*u - 9. Let j(c) = f*z(c) - 2*a(c). Differentiate j(x) wrt x.
44*x**3
What is the first derivative of 47*w - 11 - 95*w + 3 - 46 wrt w?
-48
Let v(q) be the first derivative of -1/4*q**4 + 0*q - 5 + 0*q**3 - q**2. What is the second derivative of v(j) wrt j?
-6*j
Let j(r) be the third derivative of 0*r + 0*r**3 - 1/6*r**4 - 1/20*r**5 + 0 - 2*r**2. What is the second derivative of j(i) wrt i?
-6
Let s(x) be the second derivative of x**7/420 + x**5/24 + x**3/3 - 3*x. Let p(u) be the second derivative of s(u). What is the second derivative of p(v) wrt v?
12*v
Let r be (-8)/(-30)*(4 - (-6 + 5)). Let h(w) be the first derivative of 4 - w**2 + r*w**3 + 0*w. What is the second derivative of h(c) wrt c?
8
Let m(w) = -2*w - 10. Let l be m(-8). Differentiate -2 - t**2 - 8*t**2 + l*t**2 wrt t.
-6*t
Let z(j) = -5*j**2 + 7*j - 3. Let x = -12 + 19. Let a(u) = -2*u**2 + 2*u - 1. Let l(n) = x*a(n) - 2*z(n). What is the derivative of l(b) wrt b?
-8*b
Let p(g) = -2*g**2 - 4. Let z(s) = -2*s + 8 + 3*s**2 + 2*s. Let c(q) = 5*p(q) + 3*z(q). Differentiate c(o) wrt o.
-2*o
Suppose n = -4*l + 2 + 10, 0 = l - 3*n +