**3/3 + 2*q**2. Differentiate c(y) with respect to y.
8
Find the third derivative of 19*w**2 - 29*w**2 + 17*w**2 - 3*w**6 wrt w.
-360*w**3
Let d(k) = 2*k**3 + 11*k - 5. Let u(i) = i**3 + 11*i - 4. Let o(q) = 4*d(q) - 5*u(q). What is the second derivative of o(j) wrt j?
18*j
Let g(t) = 15*t**4 - 6*t**3 + 6*t - 11. Let f(i) = 14*i**4 - 5*i**3 + 5*i - 10. Let m(z) = -6*f(z) + 5*g(z). What is the derivative of m(l) wrt l?
-36*l**3
Let k = 33 - 21. Suppose k = 5*m - b, 2*b - 3 = 3. What is the second derivative of -12*u + 8*u + 6*u - u**2 - m*u**2 wrt u?
-8
Let p(z) be the second derivative of -3*z**7/14 + z**6/30 - 49*z**4/12 - 11*z. Find the third derivative of p(m) wrt m.
-540*m**2 + 24*m
Let g(q) be the third derivative of -4*q**5/15 - 2*q**3/3 - q**2. Differentiate g(i) wrt i.
-32*i
Let g(s) be the second derivative of 5*s**4/4 + 18*s**2 + 5*s - 1. Find the first derivative of g(c) wrt c.
30*c
Let r(v) be the third derivative of -v**6/30 - v**5/12 + 5*v**2. What is the third derivative of r(y) wrt y?
-24
Suppose -11*s = -9*s - 6. Find the third derivative of -26*y**3 + 5*y**3 + 14*y**3 - s*y**2 wrt y.
-42
Suppose 2*u - 6 = 4. Differentiate -2*n**3 + 1 + 4*n**3 - u + 2*n**3 with respect to n.
12*n**2
Let z = -20 - -20. Let b(j) be the third derivative of 0*j - 1/6*j**3 + 0*j**5 + 0*j**4 + 0 - 2*j**2 + z*j**6 + 1/105*j**7. Differentiate b(y) wrt y.
8*y**3
Let w be (-2)/5 + (-24)/(-10). Let r(g) be the second derivative of -w*g + 0 + 1/3*g**3 - 1/2*g**2. Differentiate r(y) wrt y.
2
Let b(i) be the third derivative of i**8/3360 - i**7/840 - i**4/8 + 3*i**2. Let k(d) be the second derivative of b(d). Find the third derivative of k(a) wrt a.
12
Let u(a) be the first derivative of 13*a**3/3 - 29*a + 9. Differentiate u(c) wrt c.
26*c
Let s be (-1)/60*-122 + -2. Let g(w) be the third derivative of 0*w**4 + 0*w + 0 - 3*w**2 - s*w**5 + 2/3*w**3. What is the first derivative of g(y) wrt y?
-4*y
Let n be (-8)/(-3) - (4 - (6 + -4)). Let z(m) be the third derivative of n*m**3 + 0*m + 3*m**2 + 1/6*m**4 + 0. Differentiate z(w) with respect to w.
4
Suppose -4*f = -6*f + 10. Find the first derivative of b + f - 2 + 2 - 4 wrt b.
1
Let q(u) = -3*u**2 + 14*u + 4. Let r(s) = -14*s**2 + 70*s + 21. Let l(p) = 21*q(p) - 4*r(p). What is the second derivative of l(d) wrt d?
-14
Let k(r) be the second derivative of -5*r**4/12 + r**3/2 + r. What is the second derivative of k(y) wrt y?
-10
Let r(v) be the third derivative of 0*v**6 + 0*v**5 + 0*v - v**2 - 1/42*v**7 - 5/6*v**3 + 0*v**4 + 0. Differentiate r(d) with respect to d.
-20*d**3
Let i(n) be the first derivative of 0*n**5 - 4/3*n**3 + 0*n**4 + 2 + 2/3*n**6 + 0*n**2 + 0*n. Find the third derivative of i(r) wrt r.
240*r**2
Let u(a) = -15*a**2 - 14*a. Let d(m) = 7*m**2 + 7*m. Let o(f) = 5*d(f) + 3*u(f). What is the second derivative of o(b) wrt b?
-20
Let c(f) be the first derivative of f**2/2 + 2*f + 8. What is the first derivative of c(y) wrt y?
1
Let k be (-1 - (-16 + 2)) + 0. Find the third derivative of k*i**3 - 2*i**2 - 3*i**2 - 10*i**3 wrt i.
18
Suppose 3*i - 2*g + 7*g - 17 = 0, 5*i = 3*g + 17. Suppose -i*n = -9*n + 15. What is the third derivative of -5*k**2 - 2*k**4 + 3*k**4 + n*k**2 wrt k?
24*k
Let a(b) = 5*b**2 + 60*b + 11. Let t(k) = -k**2 - 12*k - 2. Let u(d) = -2*a(d) - 11*t(d). What is the second derivative of u(x) wrt x?
2
Let t = 6 + -3. Find the third derivative of 16*a**t - 16*a**3 - 2*a**2 + 3*a**5 wrt a.
180*a**2
Let x = -2 - -4. Differentiate -x + 2 - 6 + 2 - 6*j with respect to j.
-6
Let u(m) be the third derivative of -13*m**7/105 - 3*m**5/5 - 20*m**2. Find the third derivative of u(w) wrt w.
-624*w
Let n be 1 + -5 + 1 + 6. Find the first derivative of -2*t - 2*t + t + 6 - n*t wrt t.
-6
Let b(h) be the first derivative of 1/2*h**2 + 3/5*h**5 + 0*h + 0*h**4 - 1 + 0*h**3. Find the second derivative of b(s) wrt s.
36*s**2
Let d be (-4)/(-5)*5/2. Find the second derivative of 0*m + 0*m**4 - d*m**4 + 3*m wrt m.
-24*m**2
Let u(h) be the third derivative of 0*h**3 + 0*h**6 + 0*h**4 + 1/30*h**5 + 2*h**2 + 0 + 0*h + 0*h**7 + 1/336*h**8. What is the third derivative of u(m) wrt m?
60*m**2
Let t(n) be the second derivative of 11*n**4/12 + 7*n**3/3 + 7*n. Find the second derivative of t(s) wrt s.
22
Let r = -4 - -6. What is the third derivative of 7*q - 7*q - 2*q**r - 3*q**3 wrt q?
-18
Suppose -4*y + 1 = l, 4*l - 4 = -2*y - 0*l. What is the first derivative of y + 2 - 5*k**2 + 3*k**2 wrt k?
-4*k
What is the second derivative of -n + 3*n**2 + 8*n + 6*n - n**2 wrt n?
4
Let x(g) = 9*g**3 + 5*g**2 - 27*g. Let j(c) = 5*c**3 + 3*c**2 - 13*c. Let m(w) = -5*j(w) + 3*x(w). What is the second derivative of m(o) wrt o?
12*o
Let n(k) = -11*k - 6. Let c(d) = 5*d + 3. Let f = -4 - -10. Let w(q) = f*n(q) + 14*c(q). What is the first derivative of w(m) wrt m?
4
What is the third derivative of 1327*b + 20*b**2 - 1327*b - 44*b**4 wrt b?
-1056*b
Find the second derivative of 10*u**5 - 3*u**5 - 4*u + 4*u**5 + 7*u wrt u.
220*u**3
Let p = 22 - 19. What is the third derivative of 2*u**2 + 7*u**p + 3*u**2 - 14*u**3 wrt u?
-42
Let j be (10/(-8))/((-10)/40). Find the second derivative of 3*w**j + 3*w**3 - 7*w - 8*w**3 + 5*w**3 wrt w.
60*w**3
Differentiate -6*a**2 - 2*a**2 + 7 + 15*a**2 with respect to a.
14*a
Let r(v) be the second derivative of 0*v**2 + 3/20*v**5 - 5/6*v**4 - 10*v + 0*v**3 + 0. Find the third derivative of r(m) wrt m.
18
Let z(b) = -2*b - 7. Let q be z(-5). Let p(r) = -r**2 - 19*r - 45. Let o be p(-16). What is the second derivative of 5*k - 4*k + q*k**o - k + 3*k wrt k?
18*k
Let j(i) = 5*i**4 + 3*i**3 + 10*i**2 + 3. Let v(l) = l**3 + l**2 + 1. Let u(y) = j(y) - 3*v(y). Find the third derivative of u(s) wrt s.
120*s
Let i(m) = m**3 + 11*m**2 - 2*m - 15. Let w be i(-11). Let d be ((-8)/14)/((-2)/w). What is the second derivative of 5*l - 3*l**2 - 3*l - 5*l**d + 4*l**2 wrt l?
-8
Suppose 0*o - 18 = -6*o. Suppose 0*p = -4*n + 4*p + 24, 5*n - 12 = -p. Differentiate z**o - 1 - 3*z + n*z wrt z.
3*z**2
Let v(x) = x**3 + x**2 - x. Let p(i) = 11*i**3 + 2*i**2 - 6*i. Let a = -13 + 7. Let m(d) = a*v(d) + p(d). What is the third derivative of m(g) wrt g?
30
Let m(x) = -198*x**3 - 9*x**2 + 9*x - 92. Let a(d) = 50*d**3 + 2*d**2 - 2*d + 23. Let h(q) = 9*a(q) + 2*m(q). What is the derivative of h(s) wrt s?
162*s**2
Let d = 8 + -5. Differentiate -w**2 + 1 - w**d + 3*w**2 - 2*w**2 wrt w.
-3*w**2
Differentiate -3 - 35*p + 8*p**2 + 35*p wrt p.
16*p
Let x(q) be the second derivative of -q**5/10 - 13*q**4/6 + 2*q**3/3 + 5*q**2 - 22*q. Find the second derivative of x(z) wrt z.
-12*z - 52
Let a be -2*1*(2 - 3). Differentiate -1 - 4*o**3 + a + 0 wrt o.
-12*o**2
Let m(t) be the second derivative of -7*t**3/6 - 2*t**2 + 18*t - 1. What is the first derivative of m(k) wrt k?
-7
Let s(o) = -o**3 + 4*o**2 - 3*o + 4. Let w be s(3). What is the second derivative of 2*f**4 - 3*f + 0*f**4 + f**w wrt f?
36*f**2
Let f(h) = -4*h**2 - 6*h - 6. Let t(w) = w**2 - 1. Let r(x) = f(x) - 6*t(x). Find the second derivative of r(z) wrt z.
-20
Let q = 6 - 4. Find the third derivative of -q*l**2 + 35*l**4 - 37*l**4 + 4*l**2 + 2*l**2 wrt l.
-48*l
Let v(h) = 3*h**2 + 8. Let o(c) = c**2 + 7*c + 7. Let q be o(-6). Let u(s) = 1. Let l(r) = q*v(r) - 4*u(r). What is the first derivative of l(p) wrt p?
6*p
Let m(w) = -17*w - 13. Let n be m(-15). What is the third derivative of -242*s**4 + 9*s**2 + 10*s**6 + n*s**4 wrt s?
1200*s**3
Let w(m) be the first derivative of 5/7*m**7 + 1 + 0*m**2 + 0*m**4 + m**3 + 0*m**6 + 0*m**5 + 0*m. What is the third derivative of w(r) wrt r?
600*r**3
Let q(d) be the first derivative of -d**3 + 0*d**6 + 0*d**4 - 2 + 0*d + 0*d**5 + 0*d**2 - 1/7*d**7. What is the third derivative of q(l) wrt l?
-120*l**3
Find the second derivative of -3*k + 2 + 9*k**4 - 2 wrt k.
108*k**2
Let k(x) = 10*x**3 - 15*x**2. Let q(p) = -p**3 + p**2. Let f(u) = k(u) + 5*q(u). What is the third derivative of f(b) wrt b?
30
What is the third derivative of 3*n**5 - 506*n**2 + 507*n**2 - 8*n**5 wrt n?
-300*n**2
Find the third derivative of 3*z**2 + 7*z**2 - 2*z**2 - 3*z**6 - 4*z**2 wrt z.
-360*z**3
Let u(y) be the second derivative of 0*y**2 + 0 - 1/30*y**6 + 0*y**3 + y + 0*y**5 + 1/12*y**4. What is the third derivative of u(a) wrt a?
-24*a
Let g(d) be the second derivati