 second derivative of -i**4/2 + 4*i**2 - 4*i. Differentiate v(m) with respect to m.
-12*m
Let x(f) be the second derivative of -19*f**7/42 - 5*f**3 - 25*f. Find the second derivative of x(v) wrt v.
-380*v**3
Let r(b) = 2*b**2 - 11. Let z(f) = -5*f**2 + 21. Let k(p) = 5*r(p) + 3*z(p). What is the derivative of k(x) wrt x?
-10*x
Let l be (1/3)/((-6)/(-72)). Let x(s) be the first derivative of -1/2*s**l + 0*s**2 - 2*s + 2 + 0*s**3. Find the first derivative of x(c) wrt c.
-6*c**2
Let c be (2 + -2)/(4/4). Differentiate 0*w**3 + w**3 - 4*w**3 + c*w**3 - 1 wrt w.
-9*w**2
Find the third derivative of -3 + 12*p**2 - 60*p**3 + 66*p**3 + 3 wrt p.
36
Let s(j) be the third derivative of 1/112*j**8 + 0 + 0*j**3 + 1/24*j**4 + 0*j + 0*j**7 + 0*j**5 + 0*j**6 + 3*j**2. Find the second derivative of s(d) wrt d.
60*d**3
What is the second derivative of -16*d**5 + 2*d**5 - 10*d + 10*d**5 wrt d?
-80*d**3
Let n(f) be the second derivative of 0 + 0*f**3 - 1/10*f**6 + 0*f**2 - 1/6*f**4 - 2*f + 0*f**5. Find the third derivative of n(u) wrt u.
-72*u
Let q(y) be the third derivative of 0 + 1/8*y**4 + 0*y**3 - 1/15*y**5 + 0*y + 4*y**2. What is the second derivative of q(i) wrt i?
-8
Suppose -11 - 4 = -5*c. Suppose 0*d - c*d + 9 = 0. Find the second derivative of 0*o + d*o**3 - 2*o - 2*o**3 wrt o.
6*o
Let f(b) be the first derivative of -7*b**6/6 - 3*b**2 + 10. What is the second derivative of f(n) wrt n?
-140*n**3
Let h(b) be the third derivative of 7*b**6/120 + 41*b**4/24 + 28*b**2. Find the second derivative of h(d) wrt d.
42*d
Let d(f) be the second derivative of 1/10*f**6 + 0*f**5 + 0*f**2 + 0 + 1/2*f**3 + 0*f**4 - 2*f. Find the second derivative of d(k) wrt k.
36*k**2
Let w = 4 + -2. Suppose -2*q + 8 = w*y, -2*y + 3 = -3*q - 0*q. What is the first derivative of -2*n + n - q + 2*n wrt n?
1
Let f(d) be the third derivative of -3*d**2 + 0 + 0*d**6 + 0*d**3 + 0*d**4 + 0*d + 1/60*d**5 + 1/84*d**8 + 0*d**7. Find the third derivative of f(u) wrt u.
240*u**2
Find the third derivative of -7*c**6 - 12*c**2 + 4*c**2 + 16*c**6 wrt c.
1080*c**3
Let d(u) be the first derivative of 7*u**4/4 + 5*u**2/2 + 5. What is the second derivative of d(h) wrt h?
42*h
Let v = 19 - 189/10. Let n(g) be the second derivative of 0*g**4 - v*g**5 - 1/6*g**3 - 3*g + 0 + 0*g**2. Find the second derivative of n(x) wrt x.
-12*x
Differentiate 5 - 3 + 1 + 6*z**3 - 4 wrt z.
18*z**2
Find the second derivative of 11*q - 2*q**4 - q + 4*q - 7*q wrt q.
-24*q**2
Let c be (-3)/(-4) - (-46)/(-8). Let d(u) = u**3 + 4*u**2 - 5*u + 3. Let v be d(c). Find the third derivative of -y**3 - y**4 - y**2 - 2*y**3 + 3*y**v wrt y.
-24*y
Let n(m) = -6*m**4 - 2*m**2 + 16*m. Let w(a) = 13*a**4 + 5*a**2 - 33*a. Let l(f) = -5*n(f) - 2*w(f). What is the second derivative of l(x) wrt x?
48*x**2
Let a(g) = g**2 + 11*g + 13. Let v be a(-10). What is the second derivative of -10*r**3 + 10*r**v + 4*r - 3*r**5 wrt r?
-60*r**3
Suppose 2*m - 12 = 3*w, -7*w - 20 = -5*m - 2*w. Find the second derivative of 2*n + 2*n**2 + m*n**5 - 2*n**2 - n**5 wrt n.
-20*n**3
Let c(a) = -a**3 + 3*a**2 + 6*a - 6. Let n be c(4). Find the third derivative of -5*t**2 - 5*t**2 + 5*t**5 + 4*t**n wrt t.
300*t**2
Suppose -4*h + 4 + 28 = 0. Let r = h - 4. What is the second derivative of 0*q**2 - q**2 + 3*q**2 - r*q + q**2 wrt q?
6
Let r(j) = 3*j + 23. Let f(c) = 2 + 3 + 3 + c + 0*c. Let i(t) = -17*f(t) + 6*r(t). Find the first derivative of i(o) wrt o.
1
Let p(v) = v + 9. Let x be p(-6). Find the third derivative of 4*d**3 + d**3 + 6*d**2 - 5*d**x + 5*d**3 wrt d.
30
What is the third derivative of -17*i**5 - 15*i**5 - 18*i**5 - 19*i**2 + 46*i**5 wrt i?
-240*i**2
Let q(y) be the third derivative of 25*y**9/504 - 13*y**5/60 + 16*y**2. Find the third derivative of q(w) wrt w.
3000*w**3
Suppose -6*a + 7*a = 0. Let q(l) be the second derivative of -2*l + 0 - 1/10*l**5 + a*l**3 + 0*l**2 - 1/12*l**4. Find the third derivative of q(f) wrt f.
-12
Let r(z) = 2*z**2 - 11*z + 2. Let t = 181 - 91. Let c be t/8 + 2/(-8). Let q(u) = u**2 - 6*u + 1. Let s(p) = c*q(p) - 6*r(p). Differentiate s(l) wrt l.
-2*l
Find the first derivative of 61*t**4 + 8*t**3 - 20 + 3 - 56*t**4 wrt t.
20*t**3 + 24*t**2
Let b(n) = n**2 - 18*n - 18. Let a(m) = -m + 2. Let o(z) = 4*a(z) - b(z). Differentiate o(y) with respect to y.
-2*y + 14
Let c = 1/89 - -77/1068. Let h(t) be the third derivative of 0*t + 1/120*t**6 + 0*t**5 + 0 + 0*t**3 + t**2 + c*t**4. Find the second derivative of h(p) wrt p.
6*p
Let u(n) = 3*n + 1. Let c be u(1). Suppose -c = 3*w + w. Let a(o) = -o - 2. Let s(t) = -t - 1. Let x(f) = w*a(f) + 3*s(f). Differentiate x(g) wrt g.
-2
Let d = 0 - -3. Find the third derivative of -5*o**2 + 2*o**2 + 3*o**3 - 2*o**d - 3*o**3 wrt o.
-12
Let d be 17/7 - 3/7. Find the third derivative of 5*s**3 + 0 + 6*s**d + 3 - 3 wrt s.
30
Let w(y) = -5*y**2 - 5*y. Let z(t) = 4*t**2 + 4*t. Let d(i) = 5*w(i) + 6*z(i). Find the second derivative of d(s) wrt s.
-2
Let z = 0 + 2. Let i be (8 - z)/(3/2). What is the second derivative of -i + n - n**2 + 4 wrt n?
-2
Let d(h) be the second derivative of 3*h**6/10 + 5*h**3/3 - h. Find the second derivative of d(r) wrt r.
108*r**2
What is the third derivative of -7*c**2 + c + 105*c**6 - c - 128*c**6 wrt c?
-2760*c**3
Let s(h) be the first derivative of h**8/840 - h**6/120 + h**3/3 - 1. Let v(n) be the third derivative of s(n). What is the third derivative of v(l) wrt l?
48*l
Let n(a) be the third derivative of 2*a**7/105 + 11*a**5/60 + 13*a**2. Find the third derivative of n(t) wrt t.
96*t
Find the first derivative of 25*u - 24 + 11*u**3 - 25*u wrt u.
33*u**2
Let u(p) be the first derivative of p**8/1680 + p**5/30 + 2*p**3/3 + 5. Let w(x) be the third derivative of u(x). What is the second derivative of w(h) wrt h?
12*h**2
Let s(m) = 23*m**4 + 17*m**2. Let u(z) = -70*z**4 - 52*z**2. Let w(x) = -14*s(x) - 5*u(x). Find the third derivative of w(k) wrt k.
672*k
Let w(g) be the third derivative of 3*g**5/20 - 10*g**3/3 + 20*g**2. Find the first derivative of w(f) wrt f.
18*f
Let x(d) = -d + 25. Let f(k) = -13. Let q = -22 + 17. Let g(n) = q*f(n) - 3*x(n). Differentiate g(v) wrt v.
3
Let v(z) = z**6 - z**5 - z**2 + z - 1. Let a(f) = -8*f**6 + 4*f**5 + 5*f**2 - 4*f + 4. Let i(n) = 5*a(n) + 20*v(n). Find the third derivative of i(o) wrt o.
-2400*o**3
Let y(g) = 2*g**4 - 5*g**3 - g. Let q(z) = z**4 - z**3 - z. Let d(o) = -5*q(o) + y(o). Find the second derivative of d(x) wrt x.
-36*x**2
Let u(w) = 2*w - 12. Let o be u(8). Suppose -2*p - o = -3*p. Find the third derivative of -4*g**3 - g**6 + p*g**3 + g**2 wrt g.
-120*g**3
Let s(o) = 10*o**4 - 4*o - 5. Let g(j) = -j**4 - j + 1. Let w(p) = 5*g(p) + s(p). Find the second derivative of w(k) wrt k.
60*k**2
Let c(o) = 4*o - 2. Let i(m) = -m**2 + 1. Let l(s) = -s - 1. Let x be l(-2). Let q(w) = x*c(w) + 2*i(w). Find the second derivative of q(f) wrt f.
-4
Let z(m) be the third derivative of 0*m**5 + 0 + 0*m - 2*m**2 - m**3 + 0*m**4 - 7/120*m**6. Differentiate z(s) with respect to s.
-21*s**2
Let i(l) be the first derivative of -7*l**5/20 - 4*l**3/3 + 6*l + 6. Let o(h) be the first derivative of i(h). Find the second derivative of o(r) wrt r.
-42*r
Let f(r) = r**2 - 10*r - 9. Let o be f(11). Suppose -3*a = 2*a - 15. Differentiate -3*z**3 - o + 4 + 2*z**a wrt z.
-3*z**2
Let c(q) = 18*q**4 + 6*q**3 + 7*q - 6. Let y(b) = 36*b**4 + 11*b**3 + 15*b - 11. Let u(m) = -11*c(m) + 6*y(m). Find the second derivative of u(i) wrt i.
216*i**2
Let r(m) be the first derivative of -m**4/2 + 5*m**3/6 + 2*m - 2. Let k(l) be the first derivative of r(l). What is the second derivative of k(t) wrt t?
-12
Find the third derivative of 25*y**2 + 20*y**2 + 11*y**6 - 35*y**2 + 12*y**2 wrt y.
1320*y**3
Suppose 5*s = 37 + 18. Let p = s - 8. What is the second derivative of -p*c**5 - 4*c**5 + 8*c - 4*c + 6*c**5 wrt c?
-20*c**3
Let u(m) = m**3 + 5*m**2 - 6*m + 2. Let b = 0 - 6. Let q be u(b). What is the third derivative of 0*w**2 + 0*w**3 + 2*w**2 - q*w**3 wrt w?
-12
Let j = -2/27 + 17/108. Let c(h) be the third derivative of j*h**4 - 2*h**2 + 0*h + 1/6*h**3 + 0. Differentiate c(t) wrt t.
2
Let q(a) be the first derivative of -3 + a**2 - 2*a**2 + 0*a + 3*a + 4. Find the first derivative of q(x) wrt x.
-2
Let c(l) be the first derivative of 7*l**4/4 - 4*l**2 + 8. W