 wrt m?
-100*m**3
Suppose 2*u - 4*u = -2. Suppose -3*x - u + 25 = 0. Find the second derivative of -6*f**2 - 3*f + x*f**2 + 6*f wrt f.
4
Find the second derivative of -23*i + 10*i**3 + 6*i - 23*i**3 wrt i.
-78*i
Suppose 0 = -3*j - 5*t + 19, -4*j - 2*t = -16. Find the third derivative of 2 + 1 + u**2 - j + 6*u**3 wrt u.
36
Let y = -9 + 15. What is the third derivative of p**6 + 6*p**2 - 4*p**2 + 0*p**y wrt p?
120*p**3
Let p(t) be the first derivative of -5*t**2/2 + 19*t - 18. Differentiate p(o) with respect to o.
-5
Let d(b) be the second derivative of -b**5/15 + b**3/3 - b**2 - b. Let k(o) be the first derivative of d(o). What is the first derivative of k(f) wrt f?
-8*f
Let k(z) be the third derivative of 0*z**7 + 0*z**4 + 1/60*z**5 + 0*z**6 - 1/112*z**8 + 0 + 2*z**2 + 0*z**3 + 0*z. What is the third derivative of k(o) wrt o?
-180*o**2
Let r = 0 + 1. Suppose -s = -6 + r. Find the third derivative of -u**6 - s*u**3 + 2*u**2 + 5*u**3 wrt u.
-120*u**3
Suppose q - u - 21 = -4*u, 2*q + 3*u = 36. Let x = q - 10. What is the second derivative of 0*c**x - c - 2*c**5 - c wrt c?
-40*c**3
What is the third derivative of 25*f**2 - 4426 + 4426 + 24*f**3 wrt f?
144
Differentiate 23*v**3 - 23 + 9*v**3 - 9*v**3 + 33*v**3 with respect to v.
168*v**2
What is the third derivative of -42 - 9*f**3 - f**2 - 2*f - 2*f + 42 wrt f?
-54
Let u = -693/5 + 139. Let y(b) be the first derivative of u*b**5 - 1/3*b**3 + 0*b**4 + 0*b**2 + 0*b - 1. What is the third derivative of y(z) wrt z?
48*z
Let b = -3 - -5. What is the second derivative of -k**2 - 3*k + b*k + 4*k + 2*k**2 wrt k?
2
Suppose -11 = -3*c + k, 0 = 5*c - c - 3*k - 13. Suppose -3*w = -1 + c, 0 = 3*q + 2*w - 7. Differentiate n**q - 3*n**3 + 3 - 2 wrt n.
-6*n**2
Let a(m) = -29*m**4 - 7*m + 2. Let d(l) = 28*l**4 + 6*l - 1. Let b(z) = 6*a(z) + 7*d(z). Find the first derivative of b(w) wrt w.
88*w**3
Let w = 8 + -8. Differentiate w*b**2 + 0*b**2 - 4*b**4 - 2 + 3 with respect to b.
-16*b**3
Let u be (-1 - 1) + -1 + 5. Suppose 0 = f - u. What is the second derivative of 31*g**2 + 0*g - 31*g**f + 2*g - 2*g**3 wrt g?
-12*g
What is the first derivative of 2 + 0*c**3 + 1 - c**3 + 1 wrt c?
-3*c**2
Let a(c) = -c**2 - 3*c + 5. Let l be a(-3). Find the first derivative of -6 + 3*g**4 + 3*g**4 + l wrt g.
24*g**3
Let m(s) = 4*s**3 + 2*s**2 - s + 2. Let h(w) = -13*w**3 - 7*w**2 + 3*w - 7. Let b(c) = -2*h(c) - 7*m(c). What is the second derivative of b(y) wrt y?
-12*y
Let p(y) = 16*y**4 + 16*y**2 + 12*y - 16. Let t(n) = -n**5 + n**4 + n**2 + n - 1. Let x(j) = -p(j) + 16*t(j). What is the second derivative of x(w) wrt w?
-320*w**3
Find the third derivative of -25*c**2 + 32*c**3 - 5*c**2 + 13*c**3 - 21*c**3 wrt c.
144
Let h(q) = -1. Let i(b) = -7*b**3 + 4. Let v(a) = 4*h(a) - 2*i(a). Find the first derivative of v(r) wrt r.
42*r**2
Let w(f) = f + 1. Let m be w(3). What is the derivative of 5 + 2 + 2*s**3 + 3*s**3 - m wrt s?
15*s**2
Let h(a) = 9*a - 3. Let s(n) be the second derivative of -n**3 + n**2 + 3*n. Let t(g) = -5*h(g) - 8*s(g). What is the first derivative of t(f) wrt f?
3
Find the third derivative of -39*b**4 - 54*b**3 + 54*b**3 - b**2 + 3*b**2 wrt b.
-936*b
Let i(q) be the second derivative of 0*q**5 + 0*q**2 + 3*q + 0 + 1/42*q**7 + 0*q**3 + 0*q**6 - 1/3*q**4. What is the third derivative of i(n) wrt n?
60*n**2
Suppose 0 = 4*a - 3*y - 27, a + 3*y = -5 - 7. Let l be -1 - 3/(a/(-3)). What is the third derivative of h**3 + h**2 - l + 2 wrt h?
6
Let x(w) be the first derivative of -3*w**5 + 10*w - 14. Find the first derivative of x(c) wrt c.
-60*c**3
Suppose 0 = 5*s - 10 - 0. What is the derivative of -f + f + 4*f**4 - s wrt f?
16*f**3
Differentiate -62 + 36 + 25*q**2 + 29 with respect to q.
50*q
Let w(u) be the first derivative of 7*u**4/4 + 3*u + 4. Find the first derivative of w(d) wrt d.
21*d**2
Let j(s) = -1. Let p(g) = -3*g**2 + 2. Let q(i) = 2*j(i) - p(i). What is the first derivative of q(v) wrt v?
6*v
Find the second derivative of -5*d**3 + 2*d**3 - 9*d**3 + 10*d wrt d.
-72*d
Let b(s) be the second derivative of -s**8/6720 - s**5/40 + s**4/3 - 4*s. Let c(p) be the third derivative of b(p). Differentiate c(d) wrt d.
-3*d**2
Find the third derivative of -7*l**5 + 21*l**2 + 3*l**5 + 20*l**5 wrt l.
960*l**2
Let l = 44 + -44. Let p(i) be the first derivative of 0*i**2 + 2 + i + l*i**4 + 0*i**3 + 1/5*i**5. What is the derivative of p(q) wrt q?
4*q**3
Let p(c) be the first derivative of c**7/105 + c**5/15 - c**3 + 5. Let m(a) be the third derivative of p(a). Find the second derivative of m(y) wrt y.
48*y
Let n(t) be the second derivative of -13*t**6/30 - 5*t**3/2 - 20*t. Find the second derivative of n(a) wrt a.
-156*a**2
Let j(g) be the second derivative of 11*g**8/336 - g**4/8 - 4*g**2 + 9*g. Let i(x) be the first derivative of j(x). Find the second derivative of i(r) wrt r.
220*r**3
Let y(k) be the first derivative of 4*k**2 + 17*k - 19. What is the derivative of y(m) wrt m?
8
Let w = -25 - -16. Let a be (12/w)/(1/(-3)). What is the second derivative of -a*k + 0*k + 3*k - 2*k + 3*k**2 wrt k?
6
Let l(w) = -32*w**3 - 5*w**2 - 21. Let r(k) = -k**3 - k**2 - 1. Let z(i) = l(i) - 5*r(i). What is the first derivative of z(g) wrt g?
-81*g**2
Find the third derivative of -8*n**4 - 5*n**2 - 6*n**4 - 4*n**4 + 10*n**2 wrt n.
-432*n
Let u(r) = 3*r**3 - 2*r**2 - 4. Let s(j) = j**3 - j**2. Let o(t) = 2*s(t) - u(t). Find the first derivative of o(c) wrt c.
-3*c**2
What is the third derivative of 5*t**5 - 4*t**5 + 10*t**5 + 10*t**2 wrt t?
660*t**2
Let o(g) be the third derivative of 5*g**2 + 0*g**3 - 1/30*g**6 + 0*g - 2/15*g**5 + 0*g**4 + 0. What is the third derivative of o(r) wrt r?
-24
Let t(v) = v**2 - 6*v - 5. Let w(d) = d**2 - 3*d - 3. Let f(g) = 3*t(g) - 5*w(g). What is the second derivative of f(m) wrt m?
-4
Let s(l) = -120*l**4 + 10*l**3 + 16*l**2 - 14. Let k(a) = -24*a**4 + 2*a**3 + 3*a**2 - 3. Let g(h) = 16*k(h) - 3*s(h). Differentiate g(c) with respect to c.
-96*c**3 + 6*c**2
Let j(g) = -3*g**3 + 2*g + 2. Let o be j(-1). What is the second derivative of -217*u**3 + 217*u**3 - o*u**5 - 8*u wrt u?
-60*u**3
Let f(x) = x**2 + 12*x + 11. Suppose 3*l = 4*l - 4. Let a(b) = -3*b + 0 + l*b + 1. Let z(r) = 22*a(r) - 2*f(r). What is the second derivative of z(v) wrt v?
-4
Let w(r) = -r**4 + r**2. Let p(z) = -19*z**4 - 16*z**2. Let x(s) = p(s) - 5*w(s). Find the third derivative of x(v) wrt v.
-336*v
Suppose -5 - 11 = -4*t. Let j = 37 - 33. What is the derivative of -4 + j*c - 4*c + t*c wrt c?
4
Let d(t) be the first derivative of -t**5/20 - t**3 - t**2 + 3. Let m(p) be the second derivative of d(p). Find the first derivative of m(a) wrt a.
-6*a
Let o(v) = -9*v**2 + 22*v - 2. Let u(d) = -43*d**2 + 111*d - 11. Let y(p) = 11*o(p) - 2*u(p). Find the second derivative of y(r) wrt r.
-26
Let g(f) be the first derivative of 3/4*f**4 - 5 + 0*f + f**2 + 0*f**3. What is the second derivative of g(n) wrt n?
18*n
Differentiate -4*o**2 + 22 + o**2 - 7*o**2 - 3 wrt o.
-20*o
Let m(h) be the first derivative of -32*h**3/3 - 9*h**2/2 - 4*h + 9. What is the second derivative of m(w) wrt w?
-64
Let s(n) be the first derivative of 3 + 0*n + n**4 + 0*n**2 - 1/3*n**3. What is the third derivative of s(y) wrt y?
24
Let c(a) = -a - 1. Let z(g) = 19*g**2 + 4*g - 2. Let t(x) = -2*c(x) + z(x). Find the second derivative of t(y) wrt y.
38
Find the first derivative of 4 - 15*g + 4 - 2 + 1 wrt g.
-15
Let f be (2/2)/((-1)/(-5)). Suppose -n = -r + f - 3, -r - 2 = -3*n. What is the first derivative of k**4 + r - 2 - 3*k**4 wrt k?
-8*k**3
Let z(a) be the second derivative of -13*a**4/12 - 5*a**2/2 + 13*a. Find the first derivative of z(t) wrt t.
-26*t
Suppose i - 5*p - 35 = 5*i, -2*i - 5*p = 15. Let z be (-16)/i + 10/25. Find the first derivative of z + 2*c + 0*c - 3 wrt c.
2
Let g(k) = -k**3 - 6*k**2 - 5*k + 2. Let x be g(-4). Let o = 14 + x. What is the first derivative of 1 + o*r**4 - 3*r**4 + 1 wrt r?
4*r**3
Let s(v) be the third derivative of -v**6/10 + 13*v**4/24 + 13*v**2. Find the second derivative of s(d) wrt d.
-72*d
Find the second derivative of 3390*p**2 + 51*p + 60*p**3 - 3390*p**2 wrt p.
360*p
Let a(x) be the second derivative of -11*x**8/56 - 3*x**4/4 - 7*x. Find the third derivative of a(q) wrt q.
-1320*q**3
Let f(x) be the first derivative of -x**3/3