ird derivative of a**5/60 + 7*a**3/6 + 12*a**2. What is the first derivative of g(o) wrt o?
2*o
Suppose -4*v + 8 = -0*v. Find the first derivative of -8*l - 8 - v + 3 wrt l.
-8
Let m(i) be the first derivative of -i**5/12 - 7*i**4/24 - i**2/2 - 2. Let u(d) be the second derivative of m(d). What is the second derivative of u(v) wrt v?
-10
Let g(i) be the second derivative of 7*i**4/4 - 5*i**2/2 - 28*i. Differentiate g(v) wrt v.
42*v
Let a(t) be the third derivative of -1/210*t**7 + 0 + 0*t**4 + 0*t**6 + 1/6*t**3 + 0*t**5 - 3*t**2 + 0*t. Differentiate a(h) wrt h.
-4*h**3
Suppose 0*q + 16 = 4*q. Differentiate -8*h + 4 + h**q + 8*h with respect to h.
4*h**3
Let t = 3 - 1. Let f(x) = t*x + 0 + 1 + 2*x + 2. Let r(o) = -3*o - 3. Let m(l) = -5*f(l) - 6*r(l). Differentiate m(s) wrt s.
-2
Find the second derivative of 14*q**3 + 2*q - 6*q**3 + q**2 - q**2 wrt q.
48*q
What is the second derivative of 49*c**3 - 29*c**3 - 1 - 14*c + 1 wrt c?
120*c
Suppose 5*f + 5*q + 20 = -0*f, 0 = 5*f + q + 4. What is the second derivative of -j**5 - 2*j**5 + f*j**5 + 0*j**5 + 3*j wrt j?
-60*j**3
Differentiate -631*d + 631*d + 18*d**3 - 17 with respect to d.
54*d**2
Let w(h) be the third derivative of 0*h**3 - 7/60*h**5 + 5*h**2 + 0 - 3/8*h**4 + 0*h. What is the second derivative of w(p) wrt p?
-14
Let q(b) = 8*b**2 + 5*b. Let s(g) = -8 + 25*g**2 + 14*g + 8 + 0. Let p(l) = -7*q(l) + 2*s(l). Find the second derivative of p(t) wrt t.
-12
Let p(f) be the first derivative of -f**3/3 - 7*f + 7. What is the derivative of p(a) wrt a?
-2*a
Let v be (-4)/14 - (-12)/42. Suppose 3*u = 6 - v. What is the derivative of j**2 - 2 + 2*j**u + 3 + 0*j**2 wrt j?
6*j
Let k(z) be the second derivative of -5*z**3/6 - 10*z**2 - 19*z. What is the derivative of k(l) wrt l?
-5
Let o(w) = -102*w**2 + 95. Let b(l) = -68*l**2 + 63. Let s(x) = -8*b(x) + 5*o(x). Find the first derivative of s(q) wrt q.
68*q
Let z(c) be the third derivative of 11*c**6/120 - 11*c**3/3 + 19*c**2. What is the derivative of z(y) wrt y?
33*y**2
Let l(f) = 112*f**4 + 273*f**2 + 63*f + 63. Let n(k) = -7*k**4 - 17*k**2 - 4*k - 4. Let g(q) = 4*l(q) + 63*n(q). What is the third derivative of g(m) wrt m?
168*m
Let y(f) be the first derivative of 11*f**6/6 - 7*f**3 + 16. Find the third derivative of y(s) wrt s.
660*s**2
Let j(q) = 13*q - 3. Let b(k) = 3*k + 2. Let r(z) = -2*z - 3. Let d(i) = -5*b(i) - 4*r(i). Let f(s) = 7*d(s) + 4*j(s). Find the first derivative of f(n) wrt n.
3
Let h(v) be the second derivative of v**8/56 - v**4/3 + 3*v. Find the third derivative of h(n) wrt n.
120*n**3
Let s(c) be the third derivative of c**6/24 + c**4/4 - 6*c**2. What is the second derivative of s(a) wrt a?
30*a
Differentiate 1 + 7 + 11*x**2 - 32*x**2 + 1 wrt x.
-42*x
Let k(p) be the third derivative of p**6/72 - p**4/6 - 3*p**3/2 - 7*p**2. Let u(w) be the first derivative of k(w). Find the first derivative of u(h) wrt h.
10*h
Let z(c) be the third derivative of 5*c**8/56 - 7*c**5/10 + 13*c**2. Find the third derivative of z(f) wrt f.
1800*f**2
Let s(y) be the first derivative of 1 + 4/3*y**3 + 0*y**2 - 5*y. What is the derivative of s(u) wrt u?
8*u
Let d(q) be the first derivative of -q**5 - 16*q**3/3 + 21. What is the third derivative of d(y) wrt y?
-120*y
Let w(c) be the first derivative of 36*c**5/5 - c**2 + 2*c - 37. What is the second derivative of w(g) wrt g?
432*g**2
Let y(p) be the second derivative of -p**6/3 + 7*p**4/12 - 29*p. Find the third derivative of y(u) wrt u.
-240*u
What is the third derivative of 8*c**4 - 3*c**2 + c**2 - 4*c**2 + 3*c**2 wrt c?
192*c
Find the third derivative of -15 + 65*a**3 + 3*a**2 + 15 + 14*a**2 - a wrt a.
390
What is the second derivative of 14*f**4 - 7*f + 10*f**4 - 4*f - 4*f**4 wrt f?
240*f**2
Let h be -2 - (1 + (-2 - 3)). What is the third derivative of -3*f**3 + 0*f**3 + 5*f**h + 6*f - 6*f wrt f?
-18
Let c(k) be the third derivative of k**8/112 - 11*k**5/60 + k**2. What is the third derivative of c(i) wrt i?
180*i**2
Let b(i) be the third derivative of -i**6/40 - i**3/3 + 8*i**2. Differentiate b(f) with respect to f.
-9*f**2
Let a(z) = z**3 + 6*z**2 + 6*z + 7. Suppose i + 4*i = -25. Let o be a(i). Find the third derivative of -g**4 - 2*g**2 - 2*g**4 + o*g**4 wrt g.
-24*g
Let m = -5 - -9. Let t(o) = -o**3 + 5*o**2 - 5*o + 6. Let a be t(m). What is the second derivative of 2*b - 4*b**a + 4*b - 4*b wrt b?
-8
Let o(n) be the first derivative of 4*n**7/7 - 2*n**3/3 - 11. What is the third derivative of o(m) wrt m?
480*m**3
Let v(f) be the third derivative of -f**7/1680 + f**6/720 - f**5/30 + 3*f**2. Let s(i) be the third derivative of v(i). What is the derivative of s(z) wrt z?
-3
Let c(x) be the second derivative of 1/10*x**5 + 2*x - 1/2*x**3 + 0*x**4 + 0 + 0*x**2. Find the second derivative of c(s) wrt s.
12*s
Let s(u) be the third derivative of 0*u**4 + 0*u - 2/15*u**5 - 1/3*u**3 + 7*u**2 + 0. Differentiate s(c) wrt c.
-16*c
Suppose 0 = 5*w - 2*p - 4 - 3, -5*w - 5 = -5*p. Let c = w - 0. What is the third derivative of -c*l**4 - 2*l**2 + 4*l**2 + 6*l**4 wrt l?
72*l
Suppose -14 = -4*b - 2*x, 2*b - 4*x - 24 = -3*b. Let d be 12/8*b/3. Find the second derivative of -3*k**2 - d*k - k + 4*k**2 - 2*k**2 wrt k.
-2
Let u(w) = -5*w**2 - 3*w. Let x(z) = -81*z**2 - 48*z. Let g = -54 + 21. Let a(p) = g*u(p) + 2*x(p). What is the second derivative of a(m) wrt m?
6
Let y(o) be the first derivative of -4*o**6/3 + 2*o**3/3 - 7. Find the third derivative of y(p) wrt p.
-480*p**2
Let b = 6 - 0. Find the third derivative of 2*x**2 - 1 - 8*x**2 + 1 - 4*x**b wrt x.
-480*x**3
Let w(y) = 9*y**2 - 2*y. Let g(l) = -45*l**2 + 11*l - 1. Let f(o) = 2*g(o) + 11*w(o). Find the first derivative of f(c) wrt c.
18*c
Let t be (-6)/(-2) + (0 - 1). Find the second derivative of 6*q**2 + 4*q**3 + q - 14*q**t + 8*q**2 wrt q.
24*q
Find the third derivative of 5*j**2 + 12*j**5 - j**2 - 18*j**5 + 7*j**5 wrt j.
60*j**2
Let p(h) be the third derivative of -2*h**7/35 - h**3/6 + 12*h**2. What is the derivative of p(o) wrt o?
-48*o**3
Let u(y) be the second derivative of y**4/2 - y**3/6 - y**2/2 - 3*y. Let s(r) = r**2 - r + 1. Let b(k) = -s(k) - u(k). Find the second derivative of b(w) wrt w.
-14
Let r(m) be the second derivative of -m**8/2240 + m**6/360 + m**4/6 + 3*m. Let p(g) be the third derivative of r(g). Find the second derivative of p(o) wrt o.
-18*o
Let g = 11 + -11. Suppose g*a + 9 = 3*a. Find the second derivative of -25 - 3*r**a - 2*r + 25 wrt r.
-18*r
What is the second derivative of -k + 3*k + 6*k + 4*k**2 wrt k?
8
Let a be (-8)/(-2) - (2 + 0). What is the third derivative of 0*b**a - 4*b**4 + 5*b**4 - 3*b**2 wrt b?
24*b
Let z(a) = 9*a + 9. Let b(t) = -5*t - 5. Let q(l) = -5*b(l) - 3*z(l). Let d(c) = -c - 1. Let j(i) = -5*d(i) + q(i). What is the derivative of j(r) wrt r?
3
Let x(y) be the second derivative of y**7/42 - 2*y**5/5 - 5*y**4/12 - y**3/3 + 2*y + 4. Find the third derivative of x(a) wrt a.
60*a**2 - 48
What is the third derivative of -4*y**5 - 387 + 7*y**2 + 387 wrt y?
-240*y**2
Let z(o) = 2*o**2 - 6*o - 1. Let t be z(-4). Find the first derivative of t*a**3 + 5*a**4 + 6 - 55*a**3 - 2 wrt a.
20*a**3
Let p(v) be the second derivative of v**5/20 + v**4/6 - 7*v. Find the third derivative of p(d) wrt d.
6
Let p(r) be the first derivative of -3*r**4/4 + r**2 - 2. What is the second derivative of p(o) wrt o?
-18*o
What is the second derivative of -18*c - 2*c**2 + 18*c**2 + 7*c - 17*c wrt c?
32
Let s(w) be the second derivative of 0 + 1/3*w**3 - w + 3*w**2. What is the first derivative of s(z) wrt z?
2
Let r(b) = 21*b**4 - 4*b**3 - 4*b - 25. Let d(z) = 22*z**4 - 3*z**3 - 3*z - 26. Let q(j) = 4*d(j) - 3*r(j). Find the first derivative of q(m) wrt m.
100*m**3
Let x(i) = 17*i**3 + 4*i. Let h(p) = 4*p**3 + p. Let j(d) = 18*h(d) - 4*x(d). What is the second derivative of j(n) wrt n?
24*n
Let f(l) be the second derivative of l**7/14 - l**4 + 29*l. Find the third derivative of f(d) wrt d.
180*d**2
Let u = 4 + -3. Let j be 1 - 1*-5*u. Differentiate 1 + j*d - 2*d - d wrt d.
3
Let y(u) be the first derivative of -u**6/40 + u**5/60 - u**2/2 + 3. Let r(c) be the second derivative of y(c). What is the third derivative of r(a) wrt a?
-18
Let s = -4 + 6. Differentiate -4*h**s + 2 - 4 + h**2 with respect to h.
-6*h
Let v(j) = -21*j**4 + 6*j**3