 1392*c
Let c(a) = -a**5 - a + 1. Let d = -17 + 11. Let n(z) = -9*z**5 + 3*z**2 - 6*z + 6. Let f(v) = d*c(v) + n(v). What is the third derivative of f(m) wrt m?
-180*m**2
Let n(c) = -22*c + 22. Let x(m) = -7*m + 7. Let j be -18 - (0 - 1)*2. Let i(g) = j*x(g) + 5*n(g). Differentiate i(p) wrt p.
2
Let f = 8 - 6. Suppose 3 = 2*v + n, -19 = -5*v + 2*n + f. Find the second derivative of -a - a**3 + 3*a**3 - a**v wrt a.
6*a
Differentiate -42*o**3 - 43*o**4 - 45 + 44*o**3 + 44*o**4 wrt o.
4*o**3 + 6*o**2
Suppose -6 + 0 = -2*h. Find the third derivative of 0*d**6 - 4*d**6 + 5*d**6 + 0*d**2 - h*d**2 wrt d.
120*d**3
What is the second derivative of 2*x**3 - 245 + 5*x**5 + 12*x + 242 - x**3 wrt x?
100*x**3 + 6*x
Let b(j) be the second derivative of -3*j**8/8 - 13*j**4/12 - 16*j. What is the third derivative of b(f) wrt f?
-2520*f**3
Differentiate 5*y**2 - 9*y**4 - 4 + 5*y**4 - 5*y**2 wrt y.
-16*y**3
What is the third derivative of -10*b**2 - 5*b**3 + 5*b**2 - 1 + 1 wrt b?
-30
What is the first derivative of 10*t**3 + 5 + 0*t + 0*t + 5 wrt t?
30*t**2
Suppose 4*o - 30 = -o. Find the first derivative of 2 + o*x + 3*x**3 - 6*x wrt x.
9*x**2
Let j(g) = g**2 - g. Let u(t) = t**3 + 3*t**2 - 3*t + 4. Let r(p) = -3*j(p) + u(p). What is the first derivative of r(a) wrt a?
3*a**2
What is the first derivative of -33*s**4 - 9*s**4 - 15*s**4 - 6 + 10*s**4 wrt s?
-188*s**3
Suppose 4*k - 3*l = 0, -1 - 3 = -l. What is the third derivative of 3*o**k + 3 - o**2 - 3 wrt o?
18
Suppose 0*q - q = -2. Suppose -3*i = -q*i - 2. Find the second derivative of 0*u + 3*u**5 - i*u**5 - u wrt u.
20*u**3
Let u(y) be the first derivative of -y**7/35 - y**4/6 + 3*y**2 - 5. Let w(r) be the second derivative of u(r). What is the second derivative of w(h) wrt h?
-72*h**2
Let z(j) = -5*j + j + 4*j + j - 2. Let t(x) = -x + 1. Let h(l) = 7*t(l) + 4*z(l). What is the first derivative of h(v) wrt v?
-3
What is the second derivative of 220*a**3 - 32*a - 30*a**5 - 220*a**3 wrt a?
-600*a**3
Let r(w) be the second derivative of w**9/1008 - w**5/40 - w**3/3 - 2*w. Let l(i) be the second derivative of r(i). Find the second derivative of l(v) wrt v.
60*v**3
Let x(k) be the first derivative of -1/2*k**2 - 1/2*k**6 + 0*k**3 + 0*k**5 - 2 + 0*k**4 + 0*k. What is the second derivative of x(l) wrt l?
-60*l**3
Let y(o) be the first derivative of -o**10/2520 - o**6/120 - o**3 - 4. Let z(u) be the third derivative of y(u). What is the third derivative of z(w) wrt w?
-240*w**3
Let t(c) = -8*c - 52. Let g(v) = -2*v - 13. Let r(i) = -9*g(i) + 2*t(i). Let n(x) = x + 9. Let p(o) = -7*n(o) + 5*r(o). Find the first derivative of p(u) wrt u.
3
Let b = 120 + -115. Let c(p) be the second derivative of 2*p + 0 + 0*p**4 + p**2 + 0*p**3 - 1/5*p**b. Find the first derivative of c(x) wrt x.
-12*x**2
Let o(i) = -i**2 - 9*i - 6. Let x be o(-8). What is the third derivative of -2*c**2 - c + c + c**x + 2*c**6 wrt c?
240*c**3
Find the third derivative of 0*k**6 + k**2 + 4*k**6 + 2*k**6 wrt k.
720*k**3
Let r(u) = -u**3 + 4*u**2 + 7*u - 7. Suppose o = -0*o + 5. Let z be r(o). What is the second derivative of -4*n + 5*n + 2*n**z - 3*n wrt n?
12*n
Let r(f) = 7*f**3 - 5*f - 4. Let o(t) = 7*t**3 - 6*t - 4. Let n(p) = -5*o(p) + 6*r(p). What is the derivative of n(l) wrt l?
21*l**2
Find the third derivative of 4*q**2 - q**4 - q**2 - q**2 wrt q.
-24*q
Let y(n) be the second derivative of n**7/1260 - n**6/360 + n**4/4 + 3*n. Let d(l) be the third derivative of y(l). Find the second derivative of d(t) wrt t.
4
Find the second derivative of -5*s**2 - 2*s + 4*s**2 - 7*s**2 wrt s.
-16
Suppose -2*f = l - 12, -4*l + 5*f - 23 = -3*l. Let v be (-3)/(-2) + l/4. Find the first derivative of -y**2 + 4*y**v - 5*y**2 - 1 wrt y.
-4*y
Let a(g) be the first derivative of -7*g**3/3 - 4*g - 16. Differentiate a(t) with respect to t.
-14*t
Let n(f) = 5*f**2 + f. Suppose 0*b - 7 = -b. Let w(i) = -4*i**2. Let t(a) = b*n(a) + 6*w(a). What is the second derivative of t(r) wrt r?
22
Let t be (18/(-8))/(9/24). Let s = t - -9. Find the first derivative of -3*v**4 + s - 1 + 2*v**4 wrt v.
-4*v**3
Let x(w) be the third derivative of w**7/42 + 11*w**5/60 - 5*w**2. What is the third derivative of x(u) wrt u?
120*u
Let c(i) be the second derivative of -i**4/2 + i**2 + 20*i. Find the first derivative of c(h) wrt h.
-12*h
Let z(q) = -28*q + 11. Let c(g) = 14*g - 5. Let i(m) = 7*c(m) + 3*z(m). Differentiate i(w) wrt w.
14
Suppose -4*u = -7*u - 2*u. Let z(c) be the third derivative of 0*c + u*c**4 - 1/3*c**3 + 0 - 3*c**2 - 1/60*c**5. Find the first derivative of z(t) wrt t.
-2*t
Find the second derivative of -1204 + 1204 - 28*h**2 + 18*h wrt h.
-56
Let z(i) be the third derivative of 1/120*i**6 + 0*i**5 - i**2 + 0*i**4 + 1/6*i**3 + 0*i + 0. What is the derivative of z(j) wrt j?
3*j**2
Let k(x) be the second derivative of 0*x**6 + 0*x**2 - 3/56*x**8 + 0*x**5 + 0*x**3 + 1/6*x**4 + 0 - x + 0*x**7. Find the third derivative of k(u) wrt u.
-360*u**3
What is the third derivative of 136*o**2 + 22*o**6 - 96*o**2 + 13*o**6 wrt o?
4200*o**3
Find the third derivative of 22*i - 6*i - 2*i**2 - 47*i**4 + 47*i**4 - 4*i**6 wrt i.
-480*i**3
Let y(i) = 7*i + 4. Let x(z) = 4 - 1 + 13*z + 2 + 2. Let k(h) = -3*x(h) + 5*y(h). Differentiate k(n) with respect to n.
-4
Find the third derivative of -32 - 9*f**3 + 32 - 2*f**2 wrt f.
-54
Let j = 5 - 4. Let i = j + 1. Find the second derivative of -i*g + 1 - 1 + g**2 - g wrt g.
2
Let w = 4 + 1. What is the second derivative of -2*q + 3*q - 4*q**5 - q**w - 5*q wrt q?
-100*q**3
Let q(w) = w**2 - 5*w - 4. Let v be q(6). What is the second derivative of -2*n**3 + 0*n**v + n - 3*n + 0*n**2 wrt n?
-12*n
Let l(t) be the second derivative of 3*t**7/7 + 13*t**4/4 - 21*t. What is the third derivative of l(v) wrt v?
1080*v**2
What is the second derivative of -74*f + 64*f - 6*f**3 + 4*f**3 wrt f?
-12*f
Suppose 2*h + 2 = 3*h. What is the third derivative of 3*f**5 + 4*f**2 - 2*f**2 + f**h wrt f?
180*f**2
What is the second derivative of 6*d + 3*d**3 - 3*d**3 + d**3 + 3*d**3 wrt d?
24*d
Suppose 3*t - 17 - 13 = 0. Let m = -6 + t. Find the third derivative of -m*q**4 - 3*q**2 + q**2 + q**2 + 6*q**4 wrt q.
48*q
Differentiate -6 + 7*b**4 + 2 + 24 + 33*b**4 wrt b.
160*b**3
Let g(z) = 2*z**2 - z - 1. Let t be g(-1). What is the second derivative of 2*w**2 - 7*w + 2*w - w**2 + t*w wrt w?
2
Suppose -4*g + 2*c = 3*c - 13, 1 = c. Suppose n = g - 1. What is the second derivative of -2*a**5 + 2*a**5 + 2*a**5 - 4*a**5 - n*a wrt a?
-40*a**3
Let q(t) = -8*t**3 + 3*t**2 + 4*t - 3. Let k(z) = z**2 - 1 - 2*z**2 - z**3 + 2*z**2. Let b(h) = -3*k(h) + q(h). What is the second derivative of b(i) wrt i?
-30*i
Let l(y) be the third derivative of 23*y**5/60 + y**4/24 + 13*y**3/6 + 76*y**2. What is the second derivative of l(p) wrt p?
46
Find the first derivative of -42*i + 29*i + 1 + 1 - 3 wrt i.
-13
Let d(h) be the first derivative of -2*h**5 + 7*h**2 - 7. Find the second derivative of d(b) wrt b.
-120*b**2
Let y(m) be the third derivative of m**5/40 + m**4/24 - m**3/3 + m**2. Let l(u) be the first derivative of y(u). Differentiate l(t) with respect to t.
3
Let b(z) = 3*z - 1. Let n be b(1). Let t = n - 0. Find the third derivative of -2 + 2*w**2 + t - w**6 wrt w.
-120*w**3
Let o(p) be the first derivative of -2*p**2 + 0*p + 3*p - 4 + 0 + 0*p**2. Find the first derivative of o(k) wrt k.
-4
Suppose -3*t - 5*a = -3*a - 28, -31 = -3*t + a. Find the second derivative of 5*u**5 + 4*u + 12*u - t*u wrt u.
100*u**3
Let k(y) be the third derivative of -y**8/168 - y**4/4 + 10*y**2. What is the second derivative of k(o) wrt o?
-40*o**3
Let k(v) be the third derivative of v**8/168 + v**5/6 + 3*v**2. What is the third derivative of k(w) wrt w?
120*w**2
Suppose 2 = c - 0*c. Let a(m) = -m - 1. Let d(s) = -4*s - 3. Let t(f) = c*a(f) - d(f). Find the first derivative of t(g) wrt g.
2
Let a = 21 + -18. Let d(v) be the first derivative of -1 + 0*v - 2/3*v**a - v**2. Find the second derivative of d(f) wrt f.
-4
Let z = 0 + 2. Find the first derivative of -1 - 7*r**2 + r**z + 3*r**2 - r**2 wrt r.
-8*r
What is the third derivative of -23*p**6 - p**2 - 2*p**2 + 13*p**6 wrt p?
-1200*p**3
Let m(l) be the second derivative of -3*l + 0*l**2 + 0 + 1/6*l**4 + 0*l**3 + 0*l**6 + 1/21*l**7 + 0*l**5. Find the third deriv