q) be the third derivative of q**8/6720 + q**6/240 - 7*q**5/60 - 4*q**2. Let j(r) be the third derivative of g(r). Differentiate j(y) wrt y.
6*y
Let v = -974/15 + 65. Let b(l) be the second derivative of 0*l**4 - l + 0 - v*l**6 + 0*l**3 + 0*l**5 - l**2. What is the derivative of b(s) wrt s?
-8*s**3
Differentiate b - 3 - 13*b + 4 with respect to b.
-12
Let y(w) = -3*w**4 - 5*w**3 + 5*w**2 + 2*w - 5. Let t(x) = -x**4 - x**3 + x**2 + x - 1. Let i(p) = -5*t(p) + y(p). What is the second derivative of i(o) wrt o?
24*o**2
Let x(h) be the first derivative of -3*h**4/2 + 10*h - 3. What is the derivative of x(q) wrt q?
-18*q**2
Suppose 5*w = 3 + 7. Find the second derivative of -w*p**4 - 2*p - 2*p**4 + 9*p**4 - 2*p**4 wrt p.
36*p**2
Suppose 0 = 4*q - 0*n + n + 12, 2*q = -4*n - 20. Let p be (3*(-2)/q)/1. Find the third derivative of -4*a**3 + a**2 - 3*a**2 + 5*a**p wrt a.
6
Let i(x) = -4*x**3 - 5*x**2 - 11*x + 3 - x**2 - 5*x**2. Let q(j) = j**3 + 4*j**2 + 4*j - 1. Let c(m) = 4*i(m) + 11*q(m). What is the derivative of c(t) wrt t?
-15*t**2
Let o(d) = d**4 - d**3 + d**2. Let w(u) = 9*u**4 + 3*u**3 - 19*u**2. Let j(c) = 3*o(c) + w(c). Find the third derivative of j(i) wrt i.
288*i
Let v(x) = -x + 11. Let w be v(8). What is the derivative of -2 + 2*r - w*r + 4*r wrt r?
3
Let p(w) be the second derivative of w**6/6 - w**4/6 - 18*w**2 - 55*w + 1. What is the first derivative of p(c) wrt c?
20*c**3 - 4*c
Let b be (-3)/6 - 1/(-2). Find the second derivative of 0 + 0 + b - 3*n - n**2 wrt n.
-2
Let d = 6 + -2. Let v(f) = -2*f**3 - 3*f. Let l(z) = z**3 + 2*z. Let r(h) = d*l(h) + 3*v(h). Find the second derivative of r(x) wrt x.
-12*x
Let n = -7 - -11. What is the derivative of 20*d - 20*d + 2*d**n - 1 wrt d?
8*d**3
Let h = 8 - 5. Differentiate 4 + 6*s + 3*s**2 - 3*s - h*s wrt s.
6*s
Let b(p) be the second derivative of 0 + 0*p**5 + 1/12*p**4 + 0*p**2 + 0*p**3 + 4*p - 2/15*p**6. Find the third derivative of b(x) wrt x.
-96*x
Find the first derivative of -11 + a + 19*a + 19*a - 7*a wrt a.
32
Let v = 22 + -17. Let p(y) be the second derivative of 1/20*y**v + 0 + 0*y**3 - 2*y + 0*y**4 - 1/2*y**2. Differentiate p(c) wrt c.
3*c**2
Let a(j) = -2*j - 4. Let v be a(-4). Find the third derivative of -11*s**3 + v*s**4 - 8*s**2 + 11*s**3 wrt s.
96*s
Let t(c) be the second derivative of 0*c**5 + 0*c**2 + 0*c**4 + 0 + 1/6*c**6 - 5/6*c**3 + 4*c. Find the second derivative of t(r) wrt r.
60*r**2
Suppose 0 = 2*u - 4*u. Let i = 3 + u. What is the derivative of x**4 - i - 2*x**4 + 4 - x**4 wrt x?
-8*x**3
Suppose 55 = 4*o + o. Suppose 5*h + o = z + 29, 4 = 4*z - h. Find the third derivative of 0*b**2 - 4*b**4 + 2*b**4 + b**z wrt b.
-48*b
Let g(m) be the first derivative of -m**5/12 + 2*m**3/3 + m**2/2 + 2. Let i(u) be the second derivative of g(u). Find the first derivative of i(z) wrt z.
-10*z
Let x = 7 - 3. Find the second derivative of -t + t**4 + 4*t - 2*t**x - 2*t wrt t.
-12*t**2
Let g be 2/(-4) + 63/14. Suppose n = 3*f - f + 48, 5*n - 258 = 4*f. What is the second derivative of 56*d**g - n*d**4 + d + d wrt d?
24*d**2
Let m(v) be the second derivative of 0 + 1/4*v**5 + 0*v**4 + 5*v - 7/6*v**3 + 0*v**2. Find the second derivative of m(k) wrt k.
30*k
Let k(x) = -21*x**3 + 46*x**2. Let a(v) = 63*v**3 - 136*v**2. Let g(p) = -2*a(p) - 7*k(p). What is the third derivative of g(q) wrt q?
126
Let g(v) be the second derivative of 29*v**4/12 - 19*v**2 - 22*v. What is the first derivative of g(a) wrt a?
58*a
Let l(h) = 27*h**5 - 5*h**2 + 4*h. Let b(u) = 53*u**5 - 10*u**2 + 7*u. Let y(s) = 4*b(s) - 7*l(s). What is the third derivative of y(o) wrt o?
1380*o**2
Let v(u) = 18*u**2 - u. Let y(s) = 17*s**2. Let b(l) = -3*v(l) + 4*y(l). What is the second derivative of b(p) wrt p?
28
Let w(z) = -13*z**3 - 7*z**2 + 4. Let p(k) = 7*k**3 + 4*k**2 - 2. Let v = -4 - -11. Let h(b) = v*p(b) + 4*w(b). Differentiate h(j) wrt j.
-9*j**2
Let m(y) be the third derivative of -y**5/20 - 17*y**3/6 + 20*y**2. What is the first derivative of m(t) wrt t?
-6*t
Let p(k) = k**3. Let j(m) = -4*m**3 - m. Suppose 3*l = 6*l - 6. Let d(f) = l*p(f) + j(f). What is the second derivative of d(c) wrt c?
-12*c
Let j be ((-1)/(-3))/((-1)/(-9)). Find the second derivative of -4*n - 5*n - 7*n**j + 10*n wrt n.
-42*n
Let s(g) = -g**2 - g - 1. Let u(l) = -3*l**2 + 4*l + 6. Let f = -16 - -12. Let b(w) = f*s(w) - u(w). What is the first derivative of b(d) wrt d?
14*d
Let g = -165 - -168. Let q(a) be the second derivative of -g*a + 1/4*a**4 + 0 + 0*a**3 + 2*a**2. What is the derivative of q(b) wrt b?
6*b
Let p(c) be the second derivative of 1/56*c**8 + 0*c**3 + 0*c**2 + 0*c**7 + 0*c**5 + 1/12*c**4 + 0*c**6 + 0 + c. Find the third derivative of p(q) wrt q.
120*q**3
Suppose 0 = 5*g + 20, t - 5*g - 39 = -15. What is the derivative of 2 - 5 + 0 + 0 - f**t wrt f?
-4*f**3
Find the first derivative of 5 - 4*p**2 - 12*p**2 + 24 wrt p.
-32*p
Let r(x) be the second derivative of 11*x**6/10 + x**3/2 + 15*x**2/2 - x + 13. What is the second derivative of r(c) wrt c?
396*c**2
Let z(p) = -6*p**2 + 4*p**2 - 12*p**3 + 5*p + 5*p. Let o(g) = g**3 + g**2 - g. Let l(w) = -2*o(w) - z(w). Find the second derivative of l(x) wrt x.
60*x
Differentiate -23*o + 42*o - 19*o - 14*o**2 - 47 + o**4 wrt o.
4*o**3 - 28*o
Suppose -3*c = -0*c. What is the derivative of c*x**2 + 0*x**2 + 5*x**2 + 0 - 2 wrt x?
10*x
Let w(k) be the first derivative of 0*k - 3/4*k**4 + 4 + 0*k**2 + k**3. What is the third derivative of w(d) wrt d?
-18
What is the derivative of -47 - 21*n**3 + 27 + 25 wrt n?
-63*n**2
Let y(z) be the first derivative of -33*z**7/7 + 3*z**3 + 19. What is the third derivative of y(b) wrt b?
-3960*b**3
Let c(i) be the second derivative of 5*i**4/4 + 5*i**2/2 - 6*i. Differentiate c(d) wrt d.
30*d
Let v(r) = -3*r**2 + 7*r - 9. Let y(k) = 2*k**2 - 5*k + 6. Suppose 0 = -d + 3*s + 7, -2*d + s + 14 = -4*s. Let g(n) = d*y(n) + 5*v(n). Differentiate g(h) wrt h.
-2*h
Let j(v) = v - 1. Let p be j(3). Suppose 3*u - 4*x - 17 - 26 = 0, -2*x = 2*u - 10. What is the third derivative of -u*y**4 + 11*y**4 - y**2 + 2*y**p wrt y?
48*y
Let q(n) be the first derivative of -n**6/40 + n**5/30 + n**2/2 + 1. Let v(f) be the second derivative of q(f). Find the third derivative of v(a) wrt a.
-18
Let t(j) = -8*j**3 + 17*j**2. Let q(a) = a**3 - a**2. Let x(s) = -4*q(s) - t(s). Find the third derivative of x(f) wrt f.
24
Suppose -3*o + s + 8 = 0, -5 = -o - 2*s - 0. Differentiate 3*x**3 - o + 4 - 6*x**3 with respect to x.
-9*x**2
Let l = 2 + -1. Let h = 2 + l. What is the third derivative of 5*v**2 - 5*v**2 + 2*v**h - 4*v**2 wrt v?
12
Suppose 0 = 3*f - 6*f + 18. Find the third derivative of 4*q**2 + 2*q**6 + 6*q**6 - 5*q**f wrt q.
360*q**3
Let d(f) = -4*f**5 + 2*f**3 + 3*f**2 + 2*f. Let t(n) = 12*n**5 - 7*n**3 - 10*n**2 - 7*n. Let k(i) = -7*d(i) - 2*t(i). Find the third derivative of k(m) wrt m.
240*m**2
Let j(l) = -l**2 + 11*l - 7. Let v be j(10). What is the first derivative of 0*t + 0 - v*t**3 + 1 + 0*t wrt t?
-9*t**2
Let r(d) be the third derivative of -2*d**7/15 + 13*d**4/24 - 22*d**2. What is the second derivative of r(b) wrt b?
-336*b**2
What is the second derivative of 4*f**2 - 479 - 16*f + 479 wrt f?
8
Let h(r) = -r**2 + 5*r - 4. Let z be h(3). Differentiate 4*p**z + 3*p**4 - 2*p**2 - 2*p**2 + 2 with respect to p.
12*p**3
Let g(l) be the second derivative of -l**10/5040 + l**6/180 + l**4/2 + 2*l. Let t(x) be the third derivative of g(x). Find the second derivative of t(n) wrt n.
-120*n**3
Let t(a) be the second derivative of 1/4*a**5 + 0*a**3 + a + 5/12*a**4 + 0 + 0*a**2. What is the third derivative of t(k) wrt k?
30
Let r(x) be the first derivative of x**3 + x + 5. Let b(f) = -f**2. Let j(o) = 3*b(o) + 3*r(o). What is the first derivative of j(s) wrt s?
12*s
Let m = -4 + 9. Let t(i) be the first derivative of 0*i + 0*i**4 - i**2 + 0*i**3 - 2/5*i**m + 1. What is the second derivative of t(k) wrt k?
-24*k**2
Let o(r) = 17*r**4 - 4*r**3 - r**2 - 4*r - 4. Let g(f) = -f**4 + f**3 + f + 1. Let y(x) = -4*g(x) - o(x). What is the third derivative of y(z) wrt z?
-312*z
Let t be 1*((-16)/72 - (-4)/18). Let a(s) be the third derivative of -1/20*s**5 + 0*s**4 + t*s + 1/3*s**3 - 3*s**2 + 0. Differentiate a(n) with respect to n.
-6*n
Let g(s) be the first derivative of -1/2*s**6 + 0*s - 3/