30. What is the third derivative of g(c) wrt c?
-96
Let q(i) be the first derivative of -3*i**4/4 - 4*i**3/3 - 8. What is the third derivative of q(x) wrt x?
-18
What is the derivative of -5 - 13 - 243*m + 183*m wrt m?
-60
Find the second derivative of 8*k - 7*k + 14*k + 2*k**4 wrt k.
24*k**2
Let s be 3 + ((-1)/1 - -1). Find the third derivative of f**3 - 2*f**3 - 5*f**2 + f**2 - s*f**3 wrt f.
-24
Let j(h) be the third derivative of 25*h**4/24 - 4*h**3 - 6*h**2. What is the first derivative of j(p) wrt p?
25
What is the second derivative of -2*t**3 + t**3 + 0*t + 0*t - 8*t wrt t?
-6*t
Let b(r) = -3*r**4 + 5*r**2 - 5*r + 1. Let j(p) = p**2 - p. Let i(m) = 2*b(m) - 10*j(m). Differentiate i(u) with respect to u.
-24*u**3
Let l(y) be the third derivative of 0*y**5 + 0 + 0*y**3 + 5*y**2 - 1/12*y**4 - 1/70*y**7 + 0*y**6 + 0*y. Find the second derivative of l(x) wrt x.
-36*x**2
Let x(b) be the first derivative of -3*b**5 - 15*b**2/2 + 13. Find the second derivative of x(t) wrt t.
-180*t**2
Let l(s) = -88*s**3 - 9*s**2 + 19*s + 9. Let b(w) = 22*w**3 + 2*w**2 - 5*w - 2. Let f(q) = 9*b(q) + 2*l(q). Find the second derivative of f(a) wrt a.
132*a
Find the second derivative of -11*s + 0*s**5 - s**5 + 6*s wrt s.
-20*s**3
Let p(v) be the second derivative of v**5/20 - 3*v**4/4 + 7*v**3/6 + 11*v**2/2 + v. Let g be p(8). Find the second derivative of -g*u + 2*u + u**2 + 2*u wrt u.
2
Let u(t) be the third derivative of 0*t + 0*t**3 + 0*t**6 + 0*t**5 + 1/6*t**4 + 2/105*t**7 - 2*t**2 + 0. What is the second derivative of u(z) wrt z?
48*z**2
Suppose 6*c - 4*n = c + 26, -22 = -5*c + 3*n. What is the third derivative of -5*h**c - 3*h**5 + 2*h**2 + 0*h**2 wrt h?
-180*h**2
Let y = -9 - -16. Find the first derivative of 3 - 5 + 2*h**4 - y + 3 wrt h.
8*h**3
Let d(s) = -s**2 - 2*s + 2. Let q be d(0). What is the third derivative of 3*w**q + 32*w**4 + 10*w**6 - 32*w**4 wrt w?
1200*w**3
Let p(d) be the first derivative of -4*d**2 - 6*d + 3. Differentiate p(k) wrt k.
-8
Let h be (1 + (-12)/10)/(-10 - -9). Let a(w) be the first derivative of 0*w - 1/2*w**2 - 3 - h*w**5 + 0*w**4 + 0*w**3. Find the second derivative of a(y) wrt y.
-12*y**2
What is the second derivative of 20*j + 5*j + 7*j**5 + 0*j wrt j?
140*j**3
Suppose -q + 7 + 1 = 0. Suppose 2*r + 0*r = q. What is the first derivative of 0*y**3 + 5 + 3*y**3 - 5 - r wrt y?
9*y**2
Let d(m) be the second derivative of 0 + m - 1/6*m**4 + 0*m**3 + 1/2*m**2. Differentiate d(j) wrt j.
-4*j
Let y(x) = 10*x**3 - 6. Let q(u) = -10*u**3 + 7. Let v(j) = -2*q(j) - 3*y(j). Differentiate v(p) with respect to p.
-30*p**2
Suppose 3*g = 2*j + 2 - 0, -4*j - 20 = 2*g. Let t = g - -4. What is the derivative of -k**2 + k**2 + 1 - 2*k**t wrt k?
-4*k
Let z(m) = -m**2 + 3*m + 3. Let r be z(3). Find the second derivative of -18*b - 3*b**3 + 3*b**r + 23*b - 6*b**3 wrt b.
-36*b
Suppose -12 = 4*o, 3*c - o = -3*o + 9. Suppose c = 2*d + 1. What is the third derivative of -u**d + 5*u**3 + 2*u**4 - 5*u**3 wrt u?
48*u
Let x(h) = -h. Let l be x(-3). Suppose 5*y = -2*p + 33, 0 = -5*y + 13 + 12. Find the first derivative of -q**2 + 2 + l - p wrt q.
-2*q
Let v = 3 + 1. Differentiate -v + 0*h**2 + 3*h**2 - 2 + 3 wrt h.
6*h
Let u(x) be the third derivative of -x**9/7560 - x**5/120 - x**4/24 + 2*x**2. Let v(n) be the second derivative of u(n). What is the derivative of v(k) wrt k?
-8*k**3
Suppose -j = j + n - 8, 5*n + 20 = 5*j. Let y = j + 1. What is the second derivative of h + 3*h**5 + y*h - 4*h wrt h?
60*h**3
Let q(l) = -4*l - 2. Let k(v) = -5*v - 3. Let w(d) = -2*k(d) + 3*q(d). Let t be w(-1). Differentiate -t - a - a + 3*a with respect to a.
1
Let o(f) = -f**3 - 5*f**2 + f + 7. Let l be o(-5). Find the third derivative of -3*w**4 - w - 3*w**2 - w + l*w wrt w.
-72*w
Let z(w) = 86*w**4 - 13*w**2 + 13*w - 75. Let h(j) = 43*j**4 - 6*j**2 + 6*j - 38. Let n(d) = 13*h(d) - 6*z(d). Differentiate n(r) with respect to r.
172*r**3
Suppose -2*a = -3*b + 2*a + 22, 3*a + 12 = 0. What is the third derivative of 13*z**b + 5*z**6 - 10*z**2 - 7*z**2 wrt z?
600*z**3
Let i(r) be the second derivative of 2/15*r**6 + 0*r**2 + 0 + 0*r**5 + 2/3*r**3 + 0*r**4 - 4*r. Find the second derivative of i(g) wrt g.
48*g**2
Suppose 3*o = o + 6. What is the third derivative of 5*d**3 - 5*d**o + 5*d**6 + 5*d**2 wrt d?
600*d**3
Differentiate -67 - 11*k - 2 + 16 + 46*k with respect to k.
35
Let f(n) be the first derivative of 7*n**3/3 + 5*n**2/2 + 12. Find the second derivative of f(c) wrt c.
14
Let i(r) be the second derivative of -5*r**4/6 + 29*r**2/2 + 20*r. Find the first derivative of i(n) wrt n.
-20*n
Let a(s) be the third derivative of -s**6/3 - s**5/60 - s**4/3 - s**3/6 - 2*s**2 - 10*s. Find the second derivative of a(o) wrt o.
-240*o - 2
Let a = -17 + 9. Let d be (-14)/a + 4/16. Find the third derivative of -d*f**2 + 4*f**2 + 0*f**3 + f**3 wrt f.
6
Let y = -4 + 11. Let a = y + -4. Find the second derivative of 0*n + n**3 - a*n + 4*n wrt n.
6*n
Let s(v) be the first derivative of -2*v**7/7 + 5*v**3/3 + 2. What is the third derivative of s(y) wrt y?
-240*y**3
Suppose k - 5 = -3. What is the second derivative of 66 - j**5 - 66 + k*j wrt j?
-20*j**3
Let w be (5 + 56/(-12))/(10/6). Let c(l) be the second derivative of 0*l**2 - w*l**5 + 2*l + 0 + 0*l**3 - 1/12*l**4. Find the third derivative of c(p) wrt p.
-24
Let b(f) = f**2 - 1. Let c be b(2). Suppose 3*q + 15 = c*t, -t + q + 2*q = -15. Find the second derivative of 2*m**3 - 2*m**3 - 2*m + t*m**3 - 2*m**3 wrt m.
-12*m
Let u(a) = 18*a**2 - 5*a + 3. Let j(o) = -17*o**2 + 6*o - 2. Let f(t) = 3*j(t) + 2*u(t). Find the second derivative of f(p) wrt p.
-30
Let k = 18 - 18. Let q(h) be the second derivative of h + 0*h**2 + 1/6*h**3 - 1/20*h**5 + 0 + k*h**4. Find the second derivative of q(s) wrt s.
-6*s
Let m(z) = z**2 - 3*z + 3. Let r(x) be the first derivative of x**3/3 - x + 3. Let h(i) = m(i) + 3*r(i). Find the second derivative of h(j) wrt j.
8
Let n(a) be the first derivative of 6*a**7/7 - 16*a**3/3 + 5. Find the third derivative of n(c) wrt c.
720*c**3
Let z(o) be the third derivative of 0*o**6 + 0*o**7 + 0*o + 0*o**5 - 1/168*o**8 + 0 - 1/8*o**4 - 2*o**2 + 0*o**3. What is the second derivative of z(w) wrt w?
-40*w**3
Let v(d) be the first derivative of -d**5/5 - 5*d**4/4 + d**3 + d**2 - 4. What is the third derivative of v(m) wrt m?
-24*m - 30
Let g(y) be the third derivative of y**8/14 + y**4 - 5*y**2. Find the second derivative of g(d) wrt d.
480*d**3
Let d(z) be the first derivative of 7*z**4/4 - 2*z**3 - 1. Find the third derivative of d(n) wrt n.
42
Let q = -10 - -16. What is the second derivative of 12 - 12 + 6*f**2 - q*f wrt f?
12
Suppose 3*r - 21 - 24 = 0. Suppose -3*n = r, -n - 2*n - 9 = b. What is the third derivative of 3*m**2 + 5*m**6 - 2*m**6 - 4*m**b wrt m?
-120*m**3
Let n(u) be the first derivative of 7 - 4*u + 0*u**2 + 0*u**3 - 3/4*u**4. Find the first derivative of n(j) wrt j.
-9*j**2
Let b(v) = v**2 - 8*v + 4. Let w be b(8). Let c = w + -2. What is the second derivative of -c*q - q + 5*q + q**5 wrt q?
20*q**3
Let j(n) be the third derivative of -7/24*n**4 + 0*n + 5*n**2 + 0*n**3 + 1/42*n**7 + 0*n**6 + 0*n**5 + 0. Find the second derivative of j(v) wrt v.
60*v**2
Let d(v) be the second derivative of 13*v**6/30 - 11*v**2/2 + 7*v. What is the first derivative of d(j) wrt j?
52*j**3
What is the third derivative of -17*l**2 + 12*l**2 + 7*l**2 - 13*l**3 wrt l?
-78
Suppose -4*z + 3*a + 14 = 0, -z - 4*z = -4*a - 18. What is the second derivative of -b**z + 0*b + 2*b + 0*b**2 wrt b?
-2
Let r(i) = i**2 - 1. Let v(l) = l**3 + 2*l**2 + 8*l - 2. Let u(j) = -2*r(j) + v(j). Find the second derivative of u(b) wrt b.
6*b
Find the third derivative of -4*t**4 + 15*t**2 - 9*t**4 - 57*t**2 + 5*t**4 wrt t.
-192*t
Suppose x = -0 + 2. Let c be 1 + 4/x - -2. What is the third derivative of -c*q**6 - 5*q**6 + 7*q**6 + 2*q**2 wrt q?
-360*q**3
Let y = 6 - 3. What is the third derivative of -4*j**y - j**2 + 3*j**3 + 0*j**3 wrt j?
-6
Let u(a) be the first derivative of 8/5*a**5 - a + 0*a**3 + 0*a**4 + 4 + 0*a**2. Differentiate u(z) with respect to z.
32*z**3
Suppose -4*d + 6 = -2*h - h, -h = 2. What is the third derivative of -5*p**3 + d*p**5 + p**2 + 5*p**3 - 2*p**5 wrt p?
-120*p**2
What is the second derivative of 12*x**4 + 2*x**4 - 31*x + 11*x 