t h.
216*h**2
Let a(s) be the first derivative of 0*s**3 - s**2 + 0*s + 1/4*s**4 - 3. Find the second derivative of a(b) wrt b.
6*b
Suppose 3*k + w - 17 = 0, -5*k - 8*w + 35 = -3*w. Suppose 0*f = 5*f - 10. Find the second derivative of m**4 - 5 + f*m + k wrt m.
12*m**2
Let y be 12/14*(-56)/(-16). What is the second derivative of 2*f + y*f**2 + 5*f - f wrt f?
6
Find the second derivative of -5*j**3 + 55*j**2 + 7*j - 55*j**2 wrt j.
-30*j
Find the third derivative of 0*v**3 - 14*v**3 + 3*v**3 + 2*v**2 wrt v.
-66
Let p(s) be the first derivative of 3*s + 3/2*s**2 - 1. What is the derivative of p(o) wrt o?
3
Let u(k) be the first derivative of -3*k**7/280 - k**6/180 - 7*k**3/3 + 5. Let t(q) be the third derivative of u(q). What is the third derivative of t(v) wrt v?
-54
What is the third derivative of -8*w**6 - 2*w**2 + 2*w**3 - w**6 - 2*w**3 wrt w?
-1080*w**3
Let d = 4 + 3. Suppose 5*v + 4*x - 18 = 0, -d*v + 3*v + 12 = 2*x. What is the derivative of j**2 - 14 + v*j**2 + 12 wrt j?
6*j
Let p(n) = -n**2 - 7*n - 3. Let h be p(-5). Let t = h - 2. Find the second derivative of -2*g**4 + 4*g**4 - 4*g + t*g wrt g.
24*g**2
Find the second derivative of y - 3*y + 8*y - 5*y**2 + 5*y wrt y.
-10
Let w(j) = -2*j - 5. Let k be w(-4). Let c(y) be the third derivative of 1/8*y**4 + 3*y**2 + 0*y + 0 - 1/6*y**k. What is the derivative of c(l) wrt l?
3
Let z(f) = f - 6. Let r be z(6). Let j(c) be the first derivative of -1 + c**2 - 2/5*c**5 + r*c + 0*c**4 + 0*c**3. What is the second derivative of j(h) wrt h?
-24*h**2
Let w(n) = n**4 - 1. Let c(s) = 2*s**4 - 4*s - 1. Let t(r) = -3*c(r) + 3*w(r). What is the second derivative of t(j) wrt j?
-36*j**2
Find the third derivative of 15*m**5 - 4*m**2 + 7*m**4 - 7*m**4 + 14*m**2 wrt m.
900*m**2
Let y = -7 - -7. Let l = y + 2. Differentiate 5*k**l - 3*k**2 + 0*k**2 + 2 - 4 with respect to k.
4*k
Let z(h) be the second derivative of 7*h**5/20 + h**4/2 + 9*h. What is the third derivative of z(m) wrt m?
42
Find the second derivative of 2*t**2 + t**2 + 2*t**2 + 10*t wrt t.
10
Let n = 10 + -5. What is the second derivative of 6*c + 6*c**n - 7*c - 3*c**5 wrt c?
60*c**3
Let z(j) be the third derivative of j**5/30 + 7*j**3/6 + 7*j**2. What is the first derivative of z(x) wrt x?
4*x
Let n(v) = 6*v**3 - 5*v**2 + 7*v + 32. Let g(i) = 3*i**3 - 3*i**2 + 4*i + 16. Let c(f) = 7*g(f) - 4*n(f). Differentiate c(a) with respect to a.
-9*a**2 - 2*a
What is the second derivative of 8 + 0*c - 7 - 14 - c + 55*c**4 wrt c?
660*c**2
Let v(s) be the third derivative of -1/6*s**4 + 0*s + 0*s**6 + 1/84*s**8 + 0*s**3 + 0*s**5 + 4*s**2 + 0 + 0*s**7. What is the second derivative of v(g) wrt g?
80*g**3
Find the second derivative of 61*p - 34*p - p**4 + 8*p**4 + 12*p wrt p.
84*p**2
Let m(j) be the third derivative of 0 + 1/20*j**5 + 2/3*j**3 + 0*j**4 + 0*j + 4*j**2. What is the derivative of m(t) wrt t?
6*t
Let m(c) be the third derivative of c**9/3024 - c**6/120 + c**3/2 + 5*c**2. Let h(o) be the first derivative of m(o). Find the third derivative of h(a) wrt a.
60*a**2
Let k(a) be the second derivative of 7*a**6/30 - 3*a**3 - a. Find the second derivative of k(v) wrt v.
84*v**2
Suppose 0*g = 2*g. What is the second derivative of g*u**2 + 2*u**5 - 5*u**5 + 7*u + 0*u**2 wrt u?
-60*u**3
Let y(o) be the second derivative of -19*o**6/30 - 19*o**4/12 - 3*o. Find the third derivative of y(h) wrt h.
-456*h
Suppose -w + 3*s + 0*s = 0, w + 5*s - 8 = 0. Let a(o) be the first derivative of 2/3*o**3 - w + 0*o + o**2. Find the second derivative of a(i) wrt i.
4
Suppose -5*y = -5*v - y + 65, -2 = -3*v - 5*y. What is the second derivative of 8*w - w + v*w**3 + 0*w wrt w?
54*w
Let p(h) = 10*h**3 + 3*h**2 + 3*h - 3. Let g(a) = -9*a**3 - 2*a**2 - 2*a + 3. Let t(z) = 3*g(z) + 2*p(z). What is the derivative of t(v) wrt v?
-21*v**2
Let u(b) = b**2 + 2*b + 3. Let f = 4 + -6. Let w(p) = 2*p**2 + 3*p + 4. Let y(a) = f*w(a) + 3*u(a). Find the first derivative of y(x) wrt x.
-2*x
Suppose -2*k = -3*k + 3*o, -14 = -k - 4*o. Suppose 5*g - 8 = g. Find the third derivative of 3*m**6 - m**6 - 4*m**k - 2*m**g wrt m.
-240*m**3
Let x(h) = h**2 + 9*h - 8. Let f be x(-10). Differentiate 0*z + 0*z + 2 - 3*z**f with respect to z.
-6*z
Let h(k) be the first derivative of -4 - 1/4*k**4 + 0*k**2 - k**3 + 0*k. What is the third derivative of h(o) wrt o?
-6
Let t = 7 + -2. Let u(q) = -9*q**3 - 5*q**2 - 6*q. Let d(i) = 4*i**3 + 2*i**2 + 3*i. Let x(m) = t*d(m) + 2*u(m). What is the second derivative of x(b) wrt b?
12*b
What is the first derivative of -2*p - 6*p**2 + 3*p - p - 4 wrt p?
-12*p
Let x(g) = -2*g - 7. Let s(m) = -6*m - 21. Let y(f) = 4*s(f) - 11*x(f). Find the first derivative of y(q) wrt q.
-2
Let m(x) be the first derivative of 7*x**4 + 10*x + 17. Differentiate m(p) with respect to p.
84*p**2
What is the derivative of -4*o**4 - 4*o**4 + 3 - 2 + 3 wrt o?
-32*o**3
Suppose 3*w + 5 = 4*w. Find the third derivative of 0*g**5 - 3*g**2 + 0*g**5 - 3*g**w - 2*g**2 wrt g.
-180*g**2
Let g(f) be the third derivative of 0*f**5 + 1/120*f**6 + 1/12*f**4 + 3*f**2 + 0 + 0*f**3 + 0*f. What is the second derivative of g(o) wrt o?
6*o
Suppose -5*x - 20 = 0, x = 2*z - 0*x - 20. What is the first derivative of 3 - z + 6 - 3*o**2 wrt o?
-6*o
Let v(a) = 7*a**4 + 3*a**3 - 3*a**2 + 8. Let f(z) = -7*z**2 - 2*z**4 - 2*z**3 + 9*z**2 - 5*z**4 - 8. Let o(h) = -3*f(h) - 2*v(h). Differentiate o(u) wrt u.
28*u**3
Let r = 5 + -3. Find the third derivative of -2*m**3 - 3*m**3 + 0*m**3 - 2*m**r + m**2 wrt m.
-30
Let a be ((-12)/15)/((-4)/10). Let g = 6 + -3. What is the third derivative of 4*p**2 + g*p**4 - a*p**4 - 3*p**2 wrt p?
24*p
Differentiate 8 - 3*f**2 + 8*f - 8*f wrt f.
-6*f
Let w(o) be the first derivative of 13*o**6/6 + 4*o**2 - 15. Find the second derivative of w(q) wrt q.
260*q**3
What is the second derivative of -5*h + 0*h**2 + 4*h**2 - 5*h**3 - 4*h**2 wrt h?
-30*h
Let i(a) be the third derivative of -a**6/60 + 5*a**4/24 + 11*a**2. What is the second derivative of i(u) wrt u?
-12*u
Let f be 6/(-8) + (-15)/(-4). Suppose f = -p + 5. Find the third derivative of -3*a**p + a**3 - a**5 + 3*a**3 - 4*a**3 wrt a.
-60*a**2
What is the first derivative of 110*y**2 - 110*y**2 + 13 - 3*y**3 wrt y?
-9*y**2
Let z(y) = -10*y**4 + 2*y**3 - 2*y**2 + 4. Let d(v) = 10*v**4 - 3*v**3 + 3*v**2 - 5. Let q(o) = 4*d(o) + 6*z(o). Find the first derivative of q(h) wrt h.
-80*h**3
Let a(g) = -20*g - 2. Let d(f) be the third derivative of -7*f**4/24 - f**3/6 - 3*f**2. Let j(h) = -3*a(h) + 8*d(h). What is the derivative of j(v) wrt v?
4
Let a(j) be the first derivative of j**8/112 + j**5/15 + 4*j**2 - 1. Let c(h) be the second derivative of a(h). What is the third derivative of c(r) wrt r?
180*r**2
Find the third derivative of 3*c**5 + 9*c**2 - 4*c**2 + 0*c**5 wrt c.
180*c**2
Let z(v) be the first derivative of -v**5/40 - v**4/24 + 2*v**3/3 + 2. Let u(o) be the third derivative of z(o). What is the derivative of u(a) wrt a?
-3
What is the second derivative of 20*b**5 + b + 2*b - 5*b wrt b?
400*b**3
Suppose -5*f + f = 16. Let t = f + 7. What is the first derivative of 0 + 1 - t + 2*d**4 wrt d?
8*d**3
Let q(g) be the first derivative of -g**4/4 + 7*g**3/6 - 5*g - 3. Let t(l) be the first derivative of q(l). Find the second derivative of t(p) wrt p.
-6
Let p(k) = -k**3 - k**2 - k. Let v(d) = 5*d**3 - 3*d**2 - 3*d - 1. Let m(h) = -3*p(h) + v(h). Differentiate m(o) with respect to o.
24*o**2
Let t(r) be the first derivative of 4*r**7/7 + 10*r**3/3 + 2. What is the third derivative of t(x) wrt x?
480*x**3
Differentiate -29 + 109*l - 109*l - 12 + 25*l**2 with respect to l.
50*l
Let x(h) be the first derivative of h**9/168 + h**5/60 - h**2 - 2. Let m(v) be the second derivative of x(v). What is the third derivative of m(u) wrt u?
360*u**3
Let m(i) = -i**2 - 3*i + 2. Let v = -1 + -2. Let o(c) = -c. Let n(z) = v*o(z) + m(z). Differentiate n(l) with respect to l.
-2*l
Suppose n + 4*n - 4*i = 9, -2*i = n - 13. Find the second derivative of 0*c + c**5 - 4*c + n*c wrt c.
20*c**3
Let n(g) be the second derivative of 1/2*g**3 + 0 - g**2 + 2*g + 1/24*g**4. Let f(m) be the first derivative of n(m). Differentiate f(z) wrt z.
1
What is the derivative of 8 - h**3 + 0 + 0 + 0*h**3 wrt h?
-3*h**2
Let j(w) be the second derivative of -w**7/840 + w**6/240 + w**4/