- 9*r wrt r.
-3
What is the third derivative of -3*k**4 - 6*k**6 + 3*k**4 + 3*k**2 - k**2 wrt k?
-720*k**3
Differentiate -p**4 - 3*p**4 - 2*p**4 + 13 with respect to p.
-24*p**3
Let i = 28 + -25. Find the second derivative of -6*d**4 + 3*d**4 - 37*d**3 + 37*d**i - 3*d wrt d.
-36*d**2
Let y(a) be the third derivative of -3*a**2 + 1/60*a**5 + 0 + 0*a**4 + 0*a**7 - 1/168*a**8 + 0*a + 0*a**6 + 0*a**3. Find the third derivative of y(x) wrt x.
-120*x**2
Let a(j) = 29*j - 55. Let i(r) = -10*r + 18. Let u(v) = 3*a(v) + 8*i(v). What is the first derivative of u(y) wrt y?
7
What is the first derivative of 2 + 4 + 5*u**3 + 0 - 1 wrt u?
15*u**2
Let b = 22 - 11. Suppose k - 3*s + 5 = 0, 2*s - b + 1 = -k. Find the second derivative of 4*h + 5*h**k - 3*h**4 - 3*h wrt h.
24*h**2
Suppose c + 2*c - 15 = 0. Suppose c*r = 8 + 12. Find the second derivative of -r*g + 23*g**2 - 3*g**5 - 23*g**2 wrt g.
-60*g**3
Let i(n) = -7*n**4 - 6*n**3 - 3*n**2 + 6*n - 6. Let r(h) = h**4 - h**3 - h**2 + h - 1. Let w(v) = -i(v) + 6*r(v). What is the third derivative of w(u) wrt u?
312*u
Suppose 5*g + 6 = 46. Suppose -4*n = -0*n + g, 0 = 4*s - 3*n - 14. Find the third derivative of -2*m**5 + s*m**4 - 2*m**4 - 3*m**2 + 2*m**2 wrt m.
-120*m**2
Find the third derivative of 9*g**2 - 10*g**4 + 15*g**4 - 10*g**4 wrt g.
-120*g
Let f(h) be the third derivative of 0 + 1/2*h**3 + 5*h**2 + 1/4*h**4 + 0*h. Find the first derivative of f(l) wrt l.
6
Differentiate -16 - 15*v + 2 - 7*v + 6*v with respect to v.
-16
Let l(h) = -7*h**5 - 3*h**4 - 3*h**2 - 3. Let v(z) = 15*z**5 + 5*z**4 + 5*z**2 - z + 5. Let g(j) = -5*l(j) - 3*v(j). Find the second derivative of g(u) wrt u.
-200*u**3
Let q(p) be the first derivative of 2*p**5/5 + 3*p**2 - 12. What is the second derivative of q(u) wrt u?
24*u**2
What is the third derivative of i**2 - 5*i**6 + 15*i - 15*i wrt i?
-600*i**3
Let i(l) be the second derivative of -l**7/70 + l**4/8 - 3*l**2/2 + 3*l. Let a(w) be the first derivative of i(w). What is the second derivative of a(y) wrt y?
-36*y**2
Let n = 5 - -1. Let a(d) be the third derivative of 0*d**5 + 0*d + 1/6*d**3 + 0*d**n + 0 - 2*d**2 + 0*d**4 - 1/105*d**7. Differentiate a(i) with respect to i.
-8*i**3
Let w(a) be the first derivative of -2*a**3/3 - 5*a + 3. Differentiate w(m) wrt m.
-4*m
Let l(a) = 3*a**4 - 3*a**3 - 33*a**2 + 3*a. Let s(f) = -3*f**4 + 2*f**3 + 33*f**2 - 2*f. Let u(o) = 2*l(o) + 3*s(o). What is the third derivative of u(c) wrt c?
-72*c
Suppose -10 = 4*j + 14. Let s(o) = 19*o**3 - 13*o - 17. Let g(p) = 9*p**3 - 6*p - 8. Let h(y) = j*s(y) + 13*g(y). What is the derivative of h(l) wrt l?
9*l**2
Let o(i) be the third derivative of -i**9/252 + 7*i**5/15 + 7*i**2. Find the third derivative of o(p) wrt p.
-240*p**3
Let d(v) = -4*v**3 - 15*v**2 - 4*v. Let m(q) = -12*q**3 - 44*q**2 - 11*q. Let w(b) = 11*d(b) - 4*m(b). What is the third derivative of w(k) wrt k?
24
Let t(m) be the second derivative of 5*m**7/42 - 7*m**3/6 + 8*m. Find the second derivative of t(q) wrt q.
100*q**3
Find the third derivative of -2*n**2 - 8*n**2 - 5*n**2 - 10*n**3 - 15*n**2 wrt n.
-60
Suppose 5*s = -i - 10, 3*s + 27 = 3*i - s. Suppose 3 = -3*u + 9. What is the first derivative of -4*w + i*w - u + w wrt w?
2
Let t(a) be the second derivative of 0*a**4 + 0*a**3 - a**2 - 6*a + 0 + 1/5*a**5. Find the first derivative of t(n) wrt n.
12*n**2
Let h(i) be the first derivative of -38*i**5/5 + 12*i**2 - 19. Find the second derivative of h(q) wrt q.
-456*q**2
Let k(o) be the first derivative of -3*o**2 + 26*o - 11. Differentiate k(t) with respect to t.
-6
Let y(o) = o**4 - o + 1. Let k(i) = 4*i**5 + 5*i**4 - 9*i + 5. Let w(z) = k(z) - 5*y(z). What is the second derivative of w(b) wrt b?
80*b**3
Let f(u) = -u**2 - u + 1. Let r(v) be the first derivative of -v**3/3 - v**2 + v + 3. Let b(h) = 2*f(h) - r(h). Differentiate b(o) wrt o.
-2*o
Let j(n) = 30*n + 47. Let l(h) = 15*h + 23. Let y(o) = -2*j(o) + 5*l(o). What is the first derivative of y(w) wrt w?
15
Let w(i) = -24*i**3 - 7*i**2 + 7*i + 45. Let j(k) = -8*k**3 - 2*k**2 + 2*k + 15. Let d(x) = 7*j(x) - 2*w(x). What is the first derivative of d(q) wrt q?
-24*q**2
What is the derivative of 31*p**3 + 9 - 28*p**2 + 43 + 28*p**2 wrt p?
93*p**2
Let l(w) = 3*w**2 + 1. Let i be l(-1). Let b be (-1)/(-1 + 2/i). Find the second derivative of 0*h**3 + 3*h**3 - b*h + 0*h**3 wrt h.
18*h
Let b(i) = -i**2 - i. Let s be b(-1). Let y(h) be the first derivative of s*h + 1/4*h**4 + 0*h**2 + 3 - h**3. Find the third derivative of y(a) wrt a.
6
Let m(d) = 3*d**2 + 6*d + 1. Let s(h) = -3*h**2 - 5*h - 1. Suppose -2*p + 3 = -7. Let y(i) = p*m(i) + 6*s(i). What is the first derivative of y(k) wrt k?
-6*k
Suppose -4*w - 2 = i, 4 = -i - 2*w + 12. Suppose 7*k - i = 4*k. Find the first derivative of -6*n**2 - 3 + k*n**2 + 3*n**3 wrt n.
9*n**2
Let b(i) = -2*i**4 - 4*i**3 + 1. Let m(o) = 3*o**4 + 9*o**3 - 3. Let u(f) = 9*b(f) + 4*m(f). Differentiate u(j) wrt j.
-24*j**3
Find the second derivative of b + 9*b**2 - 17 - 2 - 10 wrt b.
18
Let j be 0 + (-5)/((-10)/4). What is the second derivative of -5*o + 5*o - 2*o**3 - j*o wrt o?
-12*o
Let y(s) be the third derivative of s**5/6 - s**4/3 - 2*s**2. Find the second derivative of y(w) wrt w.
20
Let n(q) be the second derivative of 0*q**5 + 0*q**4 - 1/6*q**3 + 5*q + 0*q**2 + 0 - 1/10*q**6. What is the second derivative of n(x) wrt x?
-36*x**2
Let d be (-5)/(-20) + (-27)/(-4). Let o = 9 - d. Find the third derivative of 4*c**o - 4*c**2 - 3*c**3 + 0*c**2 + 4*c**2 wrt c.
-18
Let v(q) be the first derivative of 19*q**4/4 + 10*q + 15. Find the first derivative of v(i) wrt i.
57*i**2
Let w(n) be the second derivative of n - 1/10*n**5 + 0*n**4 + 0*n**2 - 1/2*n**3 + 0. What is the second derivative of w(o) wrt o?
-12*o
Suppose -2*y + y + 5 = 0. Find the third derivative of -10*r**5 + 5*r**2 + 0*r**y + 4*r**5 wrt r.
-360*r**2
Let s(k) be the first derivative of -3 + 0*k + 0*k**2 + k**3 + 0*k**5 - 1/3*k**6 + 0*k**4. Find the third derivative of s(i) wrt i.
-120*i**2
Suppose 3*q - 15 = 3*x, q + 1 = -5*x - 0. Differentiate -s - s**4 + 7*s - 6*s + q with respect to s.
-4*s**3
Let i(s) be the first derivative of -5*s**6/6 + 2*s**3/3 - 5. What is the third derivative of i(o) wrt o?
-300*o**2
Find the second derivative of 169*y - 6*y**2 + 3*y**2 - 161*y wrt y.
-6
Suppose 0 = 13*s - 5*s - 16. Let i(a) be the second derivative of 0 - 1/2*a**2 + 0*a**3 + s*a + 1/12*a**4. Differentiate i(m) wrt m.
2*m
What is the second derivative of 2*j + j + 0*j + j**2 - 2*j wrt j?
2
Let i(r) = 2*r + 2. Let o be i(-1). Find the second derivative of 8*c**2 + o*c**2 + 2*c - 8*c**2 + 2*c**5 wrt c.
40*c**3
Let l(t) be the second derivative of -2*t**6/15 + 11*t**4/12 + 14*t. What is the third derivative of l(g) wrt g?
-96*g
Let f be 6/9 - (10/(-4))/(-5). Let b(u) be the second derivative of -2*u - f*u**3 + 0 - 3/2*u**2. Differentiate b(y) with respect to y.
-1
Find the third derivative of 150 - 150 - 11*o**2 + 20*o**3 wrt o.
120
Suppose 3*q + 4*a = 32, -5*q + 6*a - 4*a = -10. What is the derivative of 1 + 0 - t**q + 6*t**4 wrt t?
20*t**3
Let y(u) be the second derivative of 0 + 2*u - u**2 - 1/6*u**3. Find the first derivative of y(d) wrt d.
-1
What is the third derivative of 47*r - 7*r**2 + 3*r**3 + 14*r**3 - 47*r wrt r?
102
Let x be (-4)/(-4)*1*43. What is the first derivative of -6 + 43*q - x*q - 7*q**3 wrt q?
-21*q**2
Let u(s) = -5*s + 11. Let m(o) = 6*o - 12. Let w(b) = -4*m(b) - 5*u(b). What is the derivative of w(f) wrt f?
1
Let r(x) be the third derivative of 0*x**4 - 2/3*x**3 - 5*x**2 - 1/30*x**5 + 0 + 0*x. What is the derivative of r(v) wrt v?
-4*v
Suppose 0*a + 6 = 3*a. What is the third derivative of -2*f**a + 4*f**4 - 5*f**4 - f**2 wrt f?
-24*f
Let x(p) be the first derivative of 0*p - 3/2*p**2 + 1/6*p**6 - 4 + 0*p**5 + 0*p**3 + 0*p**4. What is the second derivative of x(d) wrt d?
20*d**3
Let o be 20/12 + (-1)/(-3). Find the third derivative of a**o + 0 - 2*a**4 + 0 - 3*a**2 wrt a.
-48*a
Let n(w) = -3*w**2 - 5*w + 7. Suppose -7*b = -2*b + 25. Let r(d) = 2*d**2 + 4*d - 6. Let h(i) = b*r(i) - 4*n(i). What is the first derivative of h(s) wrt s?
4*s
What is the second derivative of 20*s**2 - 8*s**5 - 6*s**5 - 14*s - 20*s**2 wrt s?
-280*s**3
What is the second derivative of -19*g**2 + 12*g**2 - 