Let p(f) be the first derivative of r(f). What is the third derivative of p(c) wrt c?
720*c**3
Let g(u) = 47*u**3 + 17*u**2 + 17*u - 30. Let m(o) = -16*o**3 - 6*o**2 - 6*o + 10. Let z(d) = -6*g(d) - 17*m(d). What is the first derivative of z(i) wrt i?
-30*i**2
Let b(h) be the third derivative of -h**9/63 - 31*h**5/60 + 7*h**2 + h. What is the third derivative of b(c) wrt c?
-960*c**3
Let v(p) = -p**2 - 6. Let w(x) = -3*x**2 - x - 13. Let r(q) = -13*v(q) + 6*w(q). What is the second derivative of r(a) wrt a?
-10
Let o(h) be the second derivative of -5*h**4/12 - h**3/2 - 5*h. Find the second derivative of o(s) wrt s.
-10
Let k(l) be the first derivative of 0*l + 0*l**3 + 0*l**4 + 3*l**2 + 1/5*l**5 + 3. What is the second derivative of k(w) wrt w?
12*w**2
Suppose -1 + 9 = -2*f, -3*q = -4*f - 22. Find the first derivative of j**q - 2*j**2 + 2 - 4*j**2 - 7 wrt j.
-10*j
Let d(o) be the second derivative of -o**5/2 + 25*o**3/6 + 14*o. Find the second derivative of d(m) wrt m.
-60*m
Let m(f) = -25*f**5 - 9*f**3 + 47*f**2 + 9. Let w(h) = 6*h**5 + 2*h**3 - 12*h**2 - 2. Let r(u) = 2*m(u) + 9*w(u). Find the third derivative of r(q) wrt q.
240*q**2
Let z(r) = r + 5. Let i be z(-4). Suppose 0 = -2*x + 3*x. What is the first derivative of x - i - p + 3 wrt p?
-1
Let d be (-1)/(3/(-25 + -2)). Let g(r) = -r + 1. Let m be g(-2). Find the third derivative of -d*t - t**m + 9*t - t**2 wrt t.
-6
Differentiate -1 - 27*w**4 + 26*w**2 - 26*w**2 wrt w.
-108*w**3
Let a(g) be the third derivative of 0*g + 0*g**6 + 0*g**4 - 7/60*g**5 + 1/30*g**7 + 0 + 6*g**2 + 0*g**3. What is the third derivative of a(m) wrt m?
168*m
Differentiate -25 + 1 - 14*u**3 - 7*u**3 wrt u.
-63*u**2
Suppose k - 3*w + 13 = 0, -3*k + 4*w = -5*k + 24. Differentiate -2 + 0*i - 2*i**k + 5 + 0*i with respect to i.
-4*i
Let i(l) = -5 + l**2 - 19*l + 19*l. Let d(a) = 2*a**2 - 5. Let u(h) = -5*d(h) + 6*i(h). Find the first derivative of u(v) wrt v.
-8*v
Let o be ((-10)/(-3))/(2/3). Suppose -t = 2*n - 4, n = -o*t + 2 - 0. What is the second derivative of 3*z + 0*z - n*z**4 + 3*z**4 wrt z?
12*z**2
Let x(b) = -8 - 5 + 2 + 19*b**2. Let y(c) = 5*c**2 - 3. Let t(p) = -2*x(p) + 9*y(p). What is the first derivative of t(u) wrt u?
14*u
Let n(y) be the third derivative of y**7/420 - y**4/24 + y**3/2 - 4*y**2. Let d(k) be the first derivative of n(k). Find the first derivative of d(j) wrt j.
6*j**2
Let n(m) = -m. Let w be n(-2). What is the third derivative of -87*b**w - 2*b**5 + 80*b**2 - 5*b**5 wrt b?
-420*b**2
Let j(v) = -47*v**4 + 6*v**2 - 41. Let i(o) = 140*o**4 - 17*o**2 + 124. Let p(d) = -6*i(d) - 17*j(d). Differentiate p(u) with respect to u.
-164*u**3
Let g(z) be the third derivative of 1/4*z**4 + 0*z + 0 + 0*z**3 + 0*z**5 - 2*z**2 + 3/40*z**6. What is the second derivative of g(f) wrt f?
54*f
Let m = -5 + 0. Let l(b) = 4*b**2 + 4*b - 2. Let t(x) = 8*x**2 + 9*x - 5. Let p(n) = m*l(n) + 2*t(n). Find the second derivative of p(h) wrt h.
-8
Let w(x) = -46*x**3 + 65*x**2 + 3*x + 3. Let n(q) = -46*q**3 + 66*q**2 + 4*q + 4. Let i(j) = 3*n(j) - 4*w(j). What is the third derivative of i(y) wrt y?
276
Suppose -g + 3 = 1. Let z be (-2 + 20/16)/(1/(-4)). What is the third derivative of s**2 + 2*s**z + s**g - s**3 - 6*s**2 wrt s?
6
Let l be -3*(33/(-9) + 3). Let f be l/4 + (-9)/(-6). What is the first derivative of 4 - 1 + 2*p - f - 3 wrt p?
2
Let t(u) = 41*u**4 + 2*u**3 + 58. Let d(k) = -162*k**4 - 9*k**3 - 232. Let g(f) = 2*d(f) + 9*t(f). Differentiate g(r) with respect to r.
180*r**3
Let m = 0 + 2. What is the second derivative of s + s**5 + 3*s - m*s wrt s?
20*s**3
Let b(q) be the second derivative of q**5/24 + q**4/24 + q**3/3 + 4*q. Let m(w) be the second derivative of b(w). What is the first derivative of m(a) wrt a?
5
Let z(m) = -39*m**3 - 31*m**2. Let p(y) = 39*y**3 + 32*y**2. Let o(d) = 7*p(d) + 6*z(d). Find the third derivative of o(r) wrt r.
234
Let m(x) = 12*x**5 - 4*x**4 + 4*x**3 + 7*x**2 - 4. Let a(w) = -w**5 + w**4 - w**3 + 1. Let u(l) = -4*a(l) - m(l). What is the third derivative of u(o) wrt o?
-480*o**2
Let m(s) be the first derivative of -s**7/420 + s**6/180 + 3*s**3 + 1. Let y(o) be the third derivative of m(o). Find the third derivative of y(x) wrt x.
-12
Let q(l) be the first derivative of -l**6/72 + l**5/12 + 4*l**3/3 + 8. Let u(z) be the third derivative of q(z). What is the second derivative of u(o) wrt o?
-10
Let b(y) = -y**2 - 8*y - 9. Suppose -4*s + s - 18 = 0. Let o be b(s). What is the third derivative of 2*q**2 - 3*q**4 + o*q**4 - 2*q**6 wrt q?
-240*q**3
Find the second derivative of -q**5 - 11*q + q**5 - q**5 + 5*q wrt q.
-20*q**3
Let p(w) be the first derivative of w**6/60 + 2*w**3/3 + 3*w**2/2 - 4. Let j(t) be the second derivative of p(t). Find the first derivative of j(a) wrt a.
6*a**2
Let x be 0 + 2 + -5 - 1. Let z(u) = -u**3 - 4*u**2 + 2. Let s be z(x). Find the second derivative of -2*y - 2*y**2 + 2*y**s - 2*y**2 wrt y.
-4
Let i(r) = -15*r**3 + 21*r - 6. Let w(y) = -15*y**3 + 21*y - 5. Let m(s) = -5*i(s) + 6*w(s). Find the second derivative of m(t) wrt t.
-90*t
Suppose -x = 2*i, -3*i = 2*x - 2*i. Let j = 2 - x. What is the third derivative of v**j - 5*v**6 - 2*v**2 + 4*v**6 wrt v?
-120*v**3
What is the third derivative of 4*a**2 + 15*a**2 - 2*a**2 + 3*a**5 + 15*a**5 wrt a?
1080*a**2
Let h(s) = s**3 + 4*s. Let o = 12 - 1. Let q(b) = -3*b**3 + b**2 - 11*b. Let f(z) = o*h(z) + 4*q(z). What is the third derivative of f(d) wrt d?
-6
Let s(n) = 31*n**3 - 18*n**2 + 6*n - 6. Let k(g) = 30*g**3 - 18*g**2 + 5*g - 5. Let p(q) = 6*k(q) - 5*s(q). Find the third derivative of p(o) wrt o.
150
What is the third derivative of -41*b**2 + 7005*b**4 - 7005*b**4 - 15*b**6 wrt b?
-1800*b**3
Suppose -30 - 2 = -4*u. Find the second derivative of -5*m - m**3 + 13*m - u*m**3 wrt m.
-54*m
What is the second derivative of -620 + 620 + 20*z**3 - 18*z wrt z?
120*z
Let x(r) be the second derivative of 17*r**5/20 + 13*r**4/3 + 2*r - 4. What is the third derivative of x(f) wrt f?
102
What is the derivative of -35*h**3 - 24 + 481*h**2 - 481*h**2 wrt h?
-105*h**2
Find the first derivative of -2 - 7*u**3 + 5*u**3 + u**3 + 0 wrt u.
-3*u**2
Let z = 12 - 6. Let y = 8 - z. Differentiate -y + 0 - 3*k**4 + 2*k**4 wrt k.
-4*k**3
Find the second derivative of -5*g**3 + 9*g**3 + 4*g + 7*g - 2*g**3 wrt g.
12*g
Let i(p) be the third derivative of 19*p**6/120 + 61*p**5/60 + 12*p**2 + p. What is the third derivative of i(f) wrt f?
114
Let r = -5 + 10. Suppose -18 = -2*q - 4*c, -3*c + 31 = r*q - 0*q. Differentiate q*b**2 - 5*b**2 + 5*b**2 + 1 - 2*b**2 wrt b.
6*b
Let o(h) = -h**4 + h - 1. Let f(r) be the third derivative of r**7/35 - r**4/8 + r**2. Let p(v) = f(v) + 3*o(v). Find the first derivative of p(g) wrt g.
12*g**3
Let n(c) be the first derivative of 11*c**4/4 - c**2 + 1. Find the second derivative of n(z) wrt z.
66*z
What is the third derivative of -3*z**2 + 5*z**2 + 0*z**2 + 28*z**6 - z**6 wrt z?
3240*z**3
Let h be (-2 - (-4 - 0)) + 3. Let q = 19 - 16. Find the second derivative of -q*s + s + 0*s + s**h wrt s.
20*s**3
Let c(h) be the third derivative of h**4/24 - h**3/6 + 7*h**2. Let x(k) = -4*k - 1. Let n(v) = 2*c(v) + x(v). What is the first derivative of n(m) wrt m?
-2
Let o(t) be the first derivative of 11*t**3 + 34*t + 15. What is the derivative of o(x) wrt x?
66*x
Let p(o) be the second derivative of 0*o**7 + 1/6*o**4 + 3/56*o**8 - 2*o + 0*o**2 + 0*o**3 + 0*o**6 + 0*o**5 + 0. Find the third derivative of p(r) wrt r.
360*r**3
Let k(l) = -l**3 + 4*l**2 - 3*l - 4. Let a be 4/6 - (-2)/6. Let t(s) = -s**2 + s + 1. Let z(m) = a*k(m) + 4*t(m). Find the second derivative of z(o) wrt o.
-6*o
Let b(r) be the first derivative of -3*r**5/5 - 10*r - 18. Differentiate b(v) with respect to v.
-12*v**3
Suppose 3*r - 5 = 4*g - 19, 5*g - 19 = 3*r. Suppose 10 = g*c - 5. Find the second derivative of -5*b**2 + 0*b**2 + c*b**3 - 3*b + 5*b**2 wrt b.
18*b
Let m(f) be the first derivative of 33*f**5/5 + 10*f - 4. Differentiate m(g) with respect to g.
132*g**3
Let s(f) be the second derivative of f**8/14 - 5*f**4/3 + 18*f. What is the third derivative of s(b) wrt b?
480*b**3
Let f(z) = 1 + 1 + 7*z + 6. Let m(c) = 8*c + 8. Let p(d) = 7*f(d) - 6*m(d). What is the derivative of p(r) wrt r?
1
Let c be 2 + (2 + -3)*8. Let n(k) = -2*k - 9. Le