 + 3*f**5 wrt f.
240*f**2
Let k(w) be the first derivative of 2*w**3 + 0*w**2 + 0*w**6 + 5 - 4/7*w**7 + 0*w**4 + 0*w**5 + 0*w. What is the third derivative of k(a) wrt a?
-480*a**3
Let k(f) be the first derivative of 2*f**6/3 - 11*f**3 - 4. What is the third derivative of k(u) wrt u?
240*u**2
Let r(s) be the second derivative of -41*s**3/6 + 53*s**2/2 - s + 22. Differentiate r(t) wrt t.
-41
Let w(u) = -3*u**4 - 2*u**3 + 2*u + 14. Let b(r) = 8*r**4 + 7*r**3 - 7*r - 41. Let z(j) = 2*b(j) + 7*w(j). Differentiate z(p) wrt p.
-20*p**3
Let v(a) = a**2 + a + 10. Let n be v(0). What is the second derivative of 14*x + 0*x**5 - n*x + 2*x**5 wrt x?
40*x**3
Let w = -6 - -7. Suppose 0 = 5*z - w - 19. What is the derivative of z + j**2 + 6*j - 4*j - 2*j wrt j?
2*j
Suppose -4*r - 8 = -8*r. Find the first derivative of -o**2 - 2*o**2 - o**r + 8 + o**2 wrt o.
-6*o
Let a(c) be the first derivative of -c**9/756 - c**5/30 - 2*c**3/3 - 2. Let m(v) be the third derivative of a(v). What is the second derivative of m(y) wrt y?
-80*y**3
Find the second derivative of -a + 7*a**3 - 6*a**5 - 7*a**3 wrt a.
-120*a**3
Let c(f) be the second derivative of -f**7/3 - f**3/2 + 7*f. Find the second derivative of c(v) wrt v.
-280*v**3
Let m(i) be the second derivative of -2*i**5/5 - i**3/2 - 7*i. What is the second derivative of m(t) wrt t?
-48*t
Suppose -3*r = r - 16. What is the second derivative of 4*n + 7*n**2 + r - 4 wrt n?
14
Let l(n) be the third derivative of 23*n**7/105 - 3*n**4/4 - n**3/3 + 39*n**2. What is the second derivative of l(g) wrt g?
552*g**2
Suppose -4*l = -0*l + 4*m - 4, 2*l = -4*m + 2. Find the second derivative of -1 + 10*b + b**2 + l - 9*b wrt b.
2
Let d = -17 + 21. Find the second derivative of d + 7*g**2 + 2 - 6 + g wrt g.
14
Let j(m) = -m**2 + m. Let s(g) = -22*g**2 + 6*g + 9. Let n(k) = 6*j(k) - s(k). What is the derivative of n(t) wrt t?
32*t
Let c(l) be the first derivative of l**8/336 - l**5/30 - l**2/2 - 6. Let t(n) be the second derivative of c(n). Find the third derivative of t(z) wrt z.
60*z**2
Differentiate 12 + 0*a**2 - 8*a**2 - 6 + 2 wrt a.
-16*a
Suppose 0 = -5*w + d - 52, -2*d + 4 = -w - 1. Let m = -6 - w. Find the second derivative of 2*n + n**5 - 2*n**5 - 5*n + 2*n**m wrt n.
20*n**3
Let k(g) = 12*g**3 - 14*g**2. Let c(t) = -t**3. Let z(x) = 3*c(x) + k(x). Find the third derivative of z(v) wrt v.
54
Let p(l) = -7*l**2 - 24*l - 7. Let s(c) = 4*c**2 + 12*c + 3. Let t(a) = -3*p(a) - 7*s(a). Find the second derivative of t(u) wrt u.
-14
Suppose 3*c = -s - 0*c + 6, 24 = 4*s + 5*c. Find the first derivative of 1 + 3 + 0*y**2 + 2*y**2 - s*y**2 wrt y.
-8*y
What is the third derivative of 2*v**2 + 5*v**5 - 13*v**5 - 10*v**5 wrt v?
-1080*v**2
Let w(h) be the first derivative of h**2 + 1/4*h**4 + 0*h - 1 + 0*h**3. What is the second derivative of w(p) wrt p?
6*p
What is the second derivative of -161 - 34*g**2 + 161 - 38*g + 2*g**2 wrt g?
-64
Let z(t) = -42*t**5 - 2*t**4 + 39*t**2. Let w(n) = 42*n**5 + 3*n**4 - 40*n**2. Let b(k) = 2*w(k) + 3*z(k). Find the third derivative of b(f) wrt f.
-2520*f**2
Let f(p) = 4*p**3 + p**2 + 20*p + 1. Let d(t) = t**2 + t + 1. Let s(j) = -d(j) + f(j). Find the second derivative of s(q) wrt q.
24*q
Let i(j) = j**2 + 6*j + 6. Let g be i(-6). Find the third derivative of -5*w**2 + 0*w**6 + w**g + 5*w**6 wrt w.
720*w**3
Suppose -4*r = -m - 32, -24 = -2*r - r + 2*m. Suppose j - 3*a = 5*j - 9, 0 = 2*j - 2*a - r. Find the third derivative of c - j*c**3 + 2*c - 3*c - c**2 wrt c.
-18
Let n = 2 - 1. Suppose 3*z = 5 + n. What is the second derivative of -2*a**3 - z*a + 0*a + 0*a wrt a?
-12*a
Let h(z) be the second derivative of -z**7/42 + 7*z**5/10 + 7*z**3/6 + z - 15. What is the second derivative of h(b) wrt b?
-20*b**3 + 84*b
Let u(o) be the third derivative of 0*o**5 + 0*o + 8*o**2 + 0 + 0*o**6 + 1/210*o**7 + 0*o**3 - 5/24*o**4. What is the second derivative of u(y) wrt y?
12*y**2
What is the third derivative of 11*m**4 - 13*m**2 + 5325*m - 5325*m - 2*m**3 - 2 wrt m?
264*m - 12
Let q(o) = -7*o**5 + o**3 + o**2 - 58*o. Let m(n) = -n**4 + n**3 + n**2. Let v(b) = -m(b) + q(b). What is the second derivative of v(y) wrt y?
-140*y**3 + 12*y**2
Let c = 10 - 5. Let x(r) = r - 3. Let b be x(c). Find the third derivative of -h**2 + 3*h**4 + h**b + h**2 wrt h.
72*h
Let g be ((-20)/15)/((-4)/6). Find the second derivative of i**2 - 2*i**g - 2*i**2 + i**2 + 3*i wrt i.
-4
Let l(p) be the second derivative of p**9/1890 - p**7/2520 + 7*p**4/12 + p. Let h(b) be the third derivative of l(b). Find the third derivative of h(a) wrt a.
192*a
Suppose m - 4*r = 31, 28 + 13 = m + r. Find the second derivative of 2*h**2 + 6*h**2 + m*h - 42*h wrt h.
16
Let d(g) = 6*g**3 - 41*g + 6. Let p(y) = -y**5 + 5*y**3 - 42*y + 5. Let q(f) = 5*d(f) - 6*p(f). Find the second derivative of q(a) wrt a.
120*a**3
Let s(b) be the third derivative of -b**8/6720 + b**6/720 + b**5/30 + b**2. Let h(c) be the third derivative of s(c). Differentiate h(p) wrt p.
-6*p
Let n(v) be the first derivative of 0*v**4 + 0*v**2 - 4*v - 4/5*v**5 + 3 + 0*v**3. Differentiate n(g) with respect to g.
-16*g**3
Let j(y) = -y**2 + y. Let a be ((-5)/5)/(1 - 0). Let x(l) = -6*l**3 + 5*l**2 - 9*l. Let s(p) = a*x(p) - 5*j(p). Find the second derivative of s(i) wrt i.
36*i
Let l(q) be the first derivative of 3*q**5 + 4*q**2 + 13. Find the second derivative of l(i) wrt i.
180*i**2
Let o(f) be the third derivative of 0*f**3 - 2*f**2 + 0 + 0*f**6 - 1/48*f**8 + 1/12*f**4 + 0*f + 0*f**5 + 0*f**7. Find the second derivative of o(r) wrt r.
-140*r**3
Let o(r) be the third derivative of 3*r**8/112 + 3*r**4/8 + 2*r**2. Find the second derivative of o(w) wrt w.
180*w**3
Find the third derivative of 3*n**6 + 3*n**6 - 7*n**2 - 5*n**6 + 3*n**2 wrt n.
120*n**3
Let g(w) be the third derivative of w**6/20 + w**5/6 - 7*w**2. Find the third derivative of g(d) wrt d.
36
Let b(r) be the first derivative of -1/2*r**4 + r**3 + 0*r**2 + 0*r + 2. Find the third derivative of b(w) wrt w.
-12
Differentiate 13 + 2*d**2 - 8*d**2 + 3*d**2 - 5*d**2 with respect to d.
-16*d
Let d(v) be the second derivative of -v**3/6 + 2*v**2 - 9*v. Find the first derivative of d(p) wrt p.
-1
Let o(l) = -2*l - 2*l + 3*l. Let g be o(-5). Find the third derivative of a**2 - 2*a**5 + 5*a**g - a**5 wrt a.
120*a**2
Suppose 6 = 5*v + 2*f - 0, 0 = 5*f + 10. Find the third derivative of -2*o**v - 2*o**2 + 12*o**2 - 6*o**5 wrt o.
-360*o**2
Let d(l) be the third derivative of l**4/24 - l**3/3 + 3*l**2. Let y be d(2). Find the third derivative of f**4 - 2*f**4 + y*f**2 + 4*f**2 + 2*f**4 wrt f.
24*f
Let a(u) be the third derivative of u**9/12096 + u**6/720 - u**5/60 + 5*u**2. Let d(o) be the third derivative of a(o). Find the first derivative of d(v) wrt v.
15*v**2
What is the second derivative of 43*q - 34*q**4 - 36*q + 49*q**4 wrt q?
180*q**2
Let r = 40 - 29. What is the third derivative of 2*o**2 + o**2 + o**3 + 11 - r wrt o?
6
Let i(h) be the third derivative of -4*h**7/105 - h**5/10 - 5*h**2. What is the third derivative of i(p) wrt p?
-192*p
Let z(s) be the first derivative of -1 + 1/4*s**4 + 0*s**2 + 5/3*s**3 + 0*s. What is the third derivative of z(n) wrt n?
6
Suppose 2*t - 3*s = 6*t - 12, -4*s = -t - 16. What is the second derivative of 0 + t + k**4 + k + 0 wrt k?
12*k**2
Let g(o) be the third derivative of -o**7/168 - o**4/12 + 5*o**3/6 + o**2. Let r(f) be the first derivative of g(f). What is the derivative of r(l) wrt l?
-15*l**2
Let y be 9/(-6)*16/(-6). Suppose -y*k + 37 = -3. Let v(n) = 2*n - 2. Let g(z) = 3*z - 3. Let f(c) = k*v(c) - 6*g(c). What is the derivative of f(b) wrt b?
2
Let j(v) be the first derivative of v**5/15 - v**4/8 + v**3 + 1. Let h(a) be the third derivative of j(a). Differentiate h(d) with respect to d.
8
What is the second derivative of 22*h - 9*h**2 - 14*h**3 + 33*h**3 + 9*h**2 wrt h?
114*h
Suppose 4*r - 81 - 123 = 4*s, -5*s + 231 = 4*r. Find the third derivative of 4*m**2 + 2*m**2 - 47*m**3 + r*m**3 - 3*m**2 wrt m.
42
Let q = 18 + -14. Let s be 34/8 + (-2)/8. What is the third derivative of -q*f**3 + s*f**3 + 3*f**2 - f**5 wrt f?
-60*f**2
Let n(b) be the second derivative of -b**7/30 - 7*b**4/24 + 3*b**2 + 6*b. Let t(d) be the first derivative of n(d). What is the second derivative of t(r) wrt r?
-84*r**2
Let r be (