 first derivative of 2*j**3/3 - 8*j + 2. Differentiate h(l) with respect to l.
4*l
Let l(q) = 2*q + 11. Let r be l(-9). Let f = -3 - r. Find the third derivative of -p**4 - 5*p + f*p**2 + 5*p - p**2 wrt p.
-24*p
Let v(t) be the third derivative of -2*t**5/3 + 13*t**4/12 + 3*t**2. Find the second derivative of v(k) wrt k.
-80
Let g(l) be the first derivative of -l**5/15 - 5*l**3/6 - 2*l**2 + 3. Let h(a) be the second derivative of g(a). Differentiate h(o) wrt o.
-8*o
Suppose 0 = 3*z - j - 20, 3*z - 12 = 2*j + 10. What is the third derivative of 1 - z*o**2 - 2*o**6 + o**2 - 1 wrt o?
-240*o**3
Find the third derivative of -3*u**3 + 26*u**4 - 8*u**2 - 18*u**4 + 3*u**3 wrt u.
192*u
Find the second derivative of 5*x**2 - 5*x**2 + 6*x**4 + 0*x + 5*x wrt x.
72*x**2
Let n(w) be the third derivative of -5*w**2 + 0*w**6 + 0*w**3 + 1/12*w**4 + 0 + 2/105*w**7 + 0*w**5 + 0*w. What is the second derivative of n(f) wrt f?
48*f**2
Let h(l) = -l**3 + l**2 + 1. Let f(t) = -3*t**4 + 6*t**3 - 6*t**2 - 9. Suppose 2*p - p = -6. Let g(q) = p*h(q) - f(q). Differentiate g(n) with respect to n.
12*n**3
Let r(d) = 12*d**3 + 2*d**2 + 13*d. Let f(u) = 48*u**3 + 9*u**2 + 52*u. Let w(b) = -2*f(b) + 9*r(b). What is the second derivative of w(g) wrt g?
72*g
What is the derivative of -44*o**4 - 3 + 46*o**4 + 5 wrt o?
8*o**3
Let f(k) = 3*k**3 - 6*k**2 - 15*k. Let s(l) = -7*l**3 + 11*l**2 + 30*l. Let q(p) = -11*f(p) - 6*s(p). What is the second derivative of q(j) wrt j?
54*j
Let f(v) = -100*v**5 - 60*v**2 - 11*v - 15. Let r(z) = -50*z**5 - 30*z**2 - 6*z - 8. Let n(q) = 6*f(q) - 11*r(q). What is the third derivative of n(x) wrt x?
-3000*x**2
Find the third derivative of -15*d**2 - 815*d**4 + 815*d**4 - 22*d**5 wrt d.
-1320*d**2
Let u(b) be the first derivative of 5*b**6/2 + 3*b**3 + 26. Find the third derivative of u(v) wrt v.
900*v**2
Let k(j) = -3*j**4 - 7*j**2 + 3. Let r(g) = 6*g**4 + 14*g**2 - 5. Let v(c) = 5*k(c) + 3*r(c). Find the third derivative of v(x) wrt x.
72*x
Let f(r) = -32*r**3 - 10*r. Let l(k) = -63*k**3 - k**2 - 22*k. Let h(x) = 9*f(x) - 4*l(x). What is the third derivative of h(t) wrt t?
-216
Let c(d) be the third derivative of d**9/126 - d**5/15 + 6*d**2. What is the third derivative of c(x) wrt x?
480*x**3
Let t(r) be the second derivative of -5*r**9/3024 - r**6/120 - r**3/6 - 5*r. Let b(j) be the second derivative of t(j). Find the third derivative of b(d) wrt d.
-300*d**2
Let b(j) be the first derivative of j**2 + 6*j - 15. Find the first derivative of b(z) wrt z.
2
Let n(y) be the first derivative of y**7/14 + 4*y**3/3 + y - 1. Let f(u) be the first derivative of n(u). What is the second derivative of f(a) wrt a?
60*a**3
Let q(u) be the first derivative of -u**4/2 - 4*u**3 - 1. What is the third derivative of q(b) wrt b?
-12
Let l(i) be the second derivative of i**7/840 + i**6/144 - i**4/3 + 3*i. Let x(g) be the third derivative of l(g). What is the second derivative of x(s) wrt s?
6
Let m(r) = r**3 + r**2 + r. Let l(n) = 6*n**3 - n**2 - 10*n. Let x(a) = l(a) + m(a). What is the second derivative of x(k) wrt k?
42*k
Let s = -3 - -5. Suppose -s*l = -1 - 3. Find the second derivative of d + d + l*d**2 + d wrt d.
4
What is the third derivative of o**4 + 1124*o**6 - o**4 - 1128*o**6 - 59*o**2 wrt o?
-480*o**3
Let o(d) = -13*d**3 - 9*d**2 - 4. Let x(m) = 3*m**3 + 2*m**2 + 1. Let z be 1/(111/(-54) + 2). Let k(n) = z*x(n) - 4*o(n). Differentiate k(r) wrt r.
-6*r**2
What is the third derivative of 18*v**3 + v**2 + 5*v**3 - 5*v**2 wrt v?
138
Let q = -23 - -23. Differentiate m**3 - 5 + q + 0 + 0*m**3 wrt m.
3*m**2
Let w(k) be the second derivative of -3*k**5/2 + k**3/6 + k**2 + k - 2. Differentiate w(u) wrt u.
-90*u**2 + 1
Let o = -6 + 9. Let a(x) be the first derivative of 2*x + 4 + o*x**3 - 3*x - x**3 - x**3. Differentiate a(h) wrt h.
6*h
Let r be 0 + (-1)/(-3) + (-1)/(-3). Let t(a) be the second derivative of 0 + 0*a**2 - 1/3*a**4 + 2*a + r*a**3. Find the second derivative of t(q) wrt q.
-8
Let u(b) = -9*b**2 - 4*b + 6. Let t(z) = 26*z**2 + 11*z - 17. Let f be 66/4*(-6)/9. Let x(c) = f*u(c) - 4*t(c). Differentiate x(k) wrt k.
-10*k
Let n = 1 - -2. Suppose -2*u - o = -3, 3*u + 3*o - o = n. Find the second derivative of -r + 0*r**3 + 0*r**3 - r**u wrt r.
-6*r
Let c(r) = 20*r - 20. Let g = 9 - 6. Let d(t) = 7*t - 7. Let h(p) = g*c(p) - 8*d(p). Differentiate h(b) wrt b.
4
Suppose -6*y = -2*y - 20. Differentiate -2 + y*p**4 + 5 - 5 with respect to p.
20*p**3
Let u(a) be the first derivative of -a**6/90 + a**5/30 - a**3/3 + 4. Let v(o) be the third derivative of u(o). Find the second derivative of v(l) wrt l.
-8
Let x(r) = -r - 6. Let w be x(-10). Find the third derivative of -2*n**3 - 2*n**3 - 2*n**2 - w*n**2 + 8*n**2 wrt n.
-24
Suppose 17 + 16 = 11*h. Let f(p) be the second derivative of 0*p**3 + 0 - 1/10*p**6 - 3/2*p**2 + 0*p**5 + 0*p**4 - h*p. What is the derivative of f(d) wrt d?
-12*d**3
Let i be ((-1)/(-2))/1*6. Differentiate -i*o - 1 - 4*o + 4*o wrt o.
-3
Let y(v) be the first derivative of -v**7/105 - v**5/24 + 7*v**3/3 - 7. Let i(w) be the third derivative of y(w). What is the second derivative of i(n) wrt n?
-48*n
Let g be (-160)/24*(-156)/10. Find the third derivative of 7*p**2 - g - p**3 + 104 wrt p.
-6
What is the second derivative of 70*m - 42*m + 77*m**4 - 4*m**4 wrt m?
876*m**2
Let s(q) be the third derivative of 0*q**5 + 0 + 0*q**3 - 1/336*q**8 + 0*q**7 + 0*q - 1/24*q**4 + 0*q**6 - 3*q**2. What is the second derivative of s(n) wrt n?
-20*n**3
Let t(d) be the second derivative of 5*d**7/42 - 7*d**3/6 + 10*d. What is the second derivative of t(i) wrt i?
100*i**3
Let g(w) be the first derivative of 0*w**6 + 0*w + 0*w**4 + 0*w**5 + 3*w**3 + 6 - 9/7*w**7 + 0*w**2. What is the third derivative of g(q) wrt q?
-1080*q**3
Let z(n) be the second derivative of n**6/30 + 7*n**3/6 - 7*n. What is the second derivative of z(m) wrt m?
12*m**2
What is the third derivative of 12*j**2 + 4*j**2 - 2*j**3 - 3*j**2 wrt j?
-12
Let z(c) = c**2 - c - 1. Let p(k) = 27*k**2 - 4*k + 14. Let i(l) = -p(l) + 4*z(l). What is the derivative of i(o) wrt o?
-46*o
Suppose z - 4*z = -j - 6, 2*j + 5*z = 10. Find the second derivative of j*i**2 - 2*i**2 - i + 3*i wrt i.
-4
Let m(n) = -8*n**4 - 6*n**2 - n + 1. Let b(y) = y**2 + y - 1. Let j(x) = -b(x) - m(x). Find the third derivative of j(i) wrt i.
192*i
Let u(q) be the third derivative of q**9/1512 + q**6/90 - 2*q**3/3 + 3*q**2. Let n(t) be the first derivative of u(t). Find the third derivative of n(m) wrt m.
120*m**2
Suppose 0 = -3*x + 6. Differentiate 4 - z**x + 1 - 8 wrt z.
-2*z
Let j(m) be the first derivative of 5/2*m**2 - 1 + m. Differentiate j(f) wrt f.
5
Let t(r) = 21*r**2 + 15*r - 36. Let f(z) = -3*z**2 - 2*z + 5. Let i(b) = 30*f(b) + 4*t(b). What is the first derivative of i(y) wrt y?
-12*y
Let r(w) = -w**4 + w**3 + w + 1. Let i(d) = -3*d**4 - 6*d**3 - 6*d + 62. Let q(g) = i(g) + 6*r(g). Find the first derivative of q(b) wrt b.
-36*b**3
Let z = -20 - -24. Differentiate -7*r**4 - 3 - 3*r**4 + 5*r**z with respect to r.
-20*r**3
Let j(h) be the first derivative of 3*h**5/5 + 11*h + 8. What is the derivative of j(r) wrt r?
12*r**3
Suppose 58 = 13*h + 6. Suppose 3*z - 16 = -z. What is the third derivative of -z*x**4 + 0*x**4 + 2*x**h - x**2 + x**4 wrt x?
-24*x
Find the second derivative of -20*g + 31*g - 12*g**2 - 16*g wrt g.
-24
Differentiate 8*w**3 + 8*w**3 + 18*w**3 - 21*w**3 + 27 wrt w.
39*w**2
Let g(d) = -18*d + 13. Let i(s) = -19*s + 11. Let o(u) = 5*g(u) - 6*i(u). What is the derivative of o(y) wrt y?
24
Let c(u) be the second derivative of -u**9/3780 + u**7/420 + u**4/3 - u. Let v(o) be the third derivative of c(o). What is the third derivative of v(n) wrt n?
-96*n
Find the third derivative of b**2 - 330*b**3 - 9*b**2 + 332*b**3 wrt b.
12
Let h(x) be the third derivative of -x**5/10 - x**4/4 - 8*x**2. Find the second derivative of h(f) wrt f.
-12
Let b(d) = 2*d - 6*d - 14*d**3 - 31 - 7*d. Let q(m) = 3*m**3 + 2*m + 6. Let f(h) = 2*b(h) + 11*q(h). Differentiate f(u) with respect to u.
15*u**2
Let d(c) = c**2 - 10*c - 8. Let t be d(11). What is the third derivative of 0*m**5 + t*m**2 - m**2 + 4*m**2 + 6*m**5 wrt m?
360*m**2
Let d(l) = l**3 - 2. Let w(f) be the first derivative of -f**4/2 + 3*f - 3. Let u(y) = -10*d(y) - 6*w(y