g) be the second derivative of -35*g**3/3 - 3*g**2 - 69*g. Find the first derivative of v(b) wrt b.
-70
Let u(k) be the third derivative of k**9/30240 - k**6/180 + k**5/20 - 2*k**2. Let s(o) be the third derivative of u(o). Find the first derivative of s(i) wrt i.
6*i**2
Let z(l) = 3*l**2 - l - 8. Let w be z(2). Let h(x) be the second derivative of -2*x + 1/6*x**3 + 0 - x**w. Differentiate h(q) with respect to q.
1
What is the third derivative of 9*b**2 - 124*b**3 + 19*b**2 + 65*b**3 wrt b?
-354
Suppose 2*a = -0*a. Suppose a = 3*d + 4*g - 13, -g = d + 3*g - 7. What is the derivative of 1 - 5*w + 8*w - 4*w**2 - d*w wrt w?
-8*w
Suppose 7*q - 8*q + 3 = 0. Differentiate 2 - q*f**3 + f**3 + 0*f**3 wrt f.
-6*f**2
Let a(k) be the first derivative of -1/2*k**6 + k**2 + 0*k**5 + 0*k**4 + 0*k - 1 + 0*k**3. Find the second derivative of a(d) wrt d.
-60*d**3
Let y(o) = 3*o - 3. Let h be y(2). Find the second derivative of 4*v - 4*v - 3*v - 2*v**h - 2*v**3 wrt v.
-24*v
Let z(n) = -4*n + 3. Let k be z(2). Let i = k + 7. Find the third derivative of t**2 + t**4 - t**2 + 2*t**i wrt t.
24*t
Let h = 7 + -3. Differentiate a**3 - 157*a**2 + 157*a**2 - h with respect to a.
3*a**2
Let v(x) be the second derivative of 11*x**7/21 - x**6/30 - x**3/6 + x**2 + 3*x - 6. Find the second derivative of v(r) wrt r.
440*r**3 - 12*r**2
Find the second derivative of 2*g - 3*g - 4*g + 6*g - 2*g**2 wrt g.
-4
Let s(b) = -3*b**2 + 9. Let k(q) = -4*q**2 + 10. Suppose -5*p - 9 = -34. Let n(g) = p*k(g) - 6*s(g). Find the first derivative of n(o) wrt o.
-4*o
Let o(p) = -8*p**6 - 2*p**3 + 17*p**2 - 2. Let m(u) = -33*u**6 - 9*u**3 + 67*u**2 - 9. Let s(v) = 2*m(v) - 9*o(v). Find the third derivative of s(b) wrt b.
720*b**3
Let j(v) = v**4 - 4*v**3 - 51*v**2 + 6*v. Let c(n) = -n**3 - n. Let l(p) = 6*c(p) + j(p). What is the third derivative of l(g) wrt g?
24*g - 60
Let d(b) be the second derivative of b**8/112 - b**4/8 - b**2/2 + 3*b. Let c(q) be the first derivative of d(q). What is the second derivative of c(p) wrt p?
60*p**3
Let u be ((-32)/(-5))/((-2)/10). Let f be u/(-6) + 4/(-12). What is the third derivative of f*x**4 - x**4 - 6*x**4 - x**2 wrt x?
-48*x
Find the second derivative of -13*x + 14*x**5 + 8*x + 29*x wrt x.
280*x**3
Let l(r) be the third derivative of -17*r**6/120 - 13*r**5/60 + 4*r**2. What is the third derivative of l(c) wrt c?
-102
Let m(j) = -25*j**3 - 2*j**2 + 13. Let r(u) = 100*u**3 + 9*u**2 - 53. Let o(s) = 9*m(s) + 2*r(s). What is the first derivative of o(z) wrt z?
-75*z**2
Let w(t) = -3*t. Let r be w(-2). Find the second derivative of -r*d - d**4 + d - d**4 wrt d.
-24*d**2
Let l(y) be the first derivative of -2*y**7/7 + 14*y**3/3 + 34. What is the third derivative of l(k) wrt k?
-240*k**3
What is the third derivative of -6*i**2 - 3*i**5 - 3*i**2 - 6*i**5 - 4*i**2 wrt i?
-540*i**2
Let y(n) = -9*n**4 - 6*n**2 + n. Let u(a) = 28*a**4 + 18*a**2 - 4*a. Let k(c) = -5*u(c) - 16*y(c). Find the second derivative of k(m) wrt m.
48*m**2 + 12
Let z = 1 + 0. Let m = z + 1. What is the third derivative of -m*l**4 + 5*l + l**2 - 5*l wrt l?
-48*l
Let b be (24/9)/2*-3. Let v = b - -6. Find the second derivative of -3*g**2 + 2*g**2 + 2*g**v + 4*g + 0*g**2 wrt g.
2
Let r(o) be the third derivative of -o**6/60 + 7*o**5/60 - o**4/6 + 2*o**3/3 - 2*o**2 + 7*o. What is the second derivative of r(s) wrt s?
-12*s + 14
What is the second derivative of -7*f + 9*f + 9*f**4 + 18*f - 13*f**4 wrt f?
-48*f**2
What is the third derivative of -2*b**3 + 15*b - 23*b**3 - 15*b - 12*b**2 wrt b?
-150
Let z(g) = 6*g - 7. Let k be z(2). Find the second derivative of -2*y + 0*y**5 + 7*y**5 + y**5 - 3*y**k wrt y.
100*y**3
Let b(l) = -l**3 + l**2 + l. Let n(s) = -15*s**3 + 5*s + 11*s**2 + 5*s**3 + 8*s. Let h(j) = -22*b(j) + 2*n(j). Find the second derivative of h(c) wrt c.
12*c
Let j(w) = -21*w**4 + 10*w**2 - 3*w. Let b(f) = 42*f**4 - 21*f**2 + 5*f. Let x(d) = 3*b(d) + 5*j(d). Find the third derivative of x(z) wrt z.
504*z
Let i(x) be the first derivative of x**4/6 + 7*x**2/2 + 5*x - 2. Let l(h) be the first derivative of i(h). What is the derivative of l(b) wrt b?
4*b
Let d(o) be the second derivative of o**4/3 + o**3/3 - 8*o**2 + 50*o. Find the first derivative of d(k) wrt k.
8*k + 2
Let z(v) be the second derivative of 37*v**7/21 - 37*v**3/6 + 4*v + 5. What is the second derivative of z(d) wrt d?
1480*d**3
Let c(i) = -2*i**4 - 4*i**3 - 7*i**2 + 4. Let x(y) = -y**3 - y**2 + 1. Let z(q) = -c(q) + 4*x(q). Find the third derivative of z(s) wrt s.
48*s
Let c(r) be the first derivative of r**6/120 + r**5/120 - 2*r**3/3 - 4. Let j(q) be the third derivative of c(q). Find the second derivative of j(d) wrt d.
6
Let q(p) = 1. Let l(z) = 2*z + 11. Let m(h) = -l(h) + 5*q(h). Let b be m(-5). Differentiate 2 - k**b + 1 - 1 wrt k.
-4*k**3
Let x(b) = -b**3 + 4. Let w be x(0). What is the second derivative of -6*y**3 + 6*y**3 - 6*y + y**w + 0*y**3 wrt y?
12*y**2
Suppose 0 = -3*c + 1 + 11. What is the derivative of -6 + 4 - 21*b**4 + 24*b**c wrt b?
12*b**3
Let n(c) = -9*c + 2. Let d(q) = 8*q - 2. Let y be (-4)/(0 + 6/(-9)). Let k(t) = y*d(t) + 5*n(t). Differentiate k(a) wrt a.
3
Suppose -16 = 5*u - 9*u. Let p(s) = 9*s**2 - s + 4. Let w(i) = 125*i**2 - 15*i + 55. Let g(q) = u*w(q) - 55*p(q). What is the second derivative of g(x) wrt x?
10
Let p(w) be the second derivative of -1/20*w**5 + 0 + 0*w**2 + 5/12*w**4 + 0*w**3 + 5*w. Find the third derivative of p(c) wrt c.
-6
Find the third derivative of 10*j**3 + 26*j**2 + 5*j**3 + 20*j**3 wrt j.
210
Let g(j) be the first derivative of j**3 + 0*j + 1 + 0*j**2 + 3/4*j**4. Find the third derivative of g(d) wrt d.
18
Let i(z) be the first derivative of -z**8/420 + z**4/6 - 2*z**3 + 5. Let a(o) be the third derivative of i(o). Differentiate a(j) with respect to j.
-16*j**3
Let a = -5 + 11. Find the third derivative of 10*o**a - o**4 - 5*o**6 + o**4 - 4*o**2 wrt o.
600*o**3
Let p = -6 + 11. What is the third derivative of 0*a**5 - a**5 - 5*a**5 - 6*a**2 + a**p wrt a?
-300*a**2
Let a(i) be the first derivative of -7*i**5/20 + i**4/3 - 4*i - 10. Let s(q) be the first derivative of a(q). Find the third derivative of s(j) wrt j.
-42
Let y(x) = -5*x**2 + 79 - 148 + 74. Let r(m) be the second derivative of 7*m**4/6 - 7*m**2 + m. Let z(d) = 6*r(d) + 17*y(d). Differentiate z(p) wrt p.
-2*p
Let w be (-2)/4 - 2/(-4). Suppose -4*g - 6 = -22. What is the third derivative of w*y**4 - y**g - 2*y**2 + 3*y**4 wrt y?
48*y
Let w be ((0/(-2))/3)/(-1). Suppose w = 5*s + 8 - 43. Find the second derivative of -2*q**4 + q**4 - s*q + 8*q wrt q.
-12*q**2
Let d(j) = 9*j**3 + 2*j**2 - 4*j + 2. Let q(p) = 10*p**3 + 3*p**2 - 4*p + 3. Let v(r) = -3*d(r) + 2*q(r). Find the second derivative of v(f) wrt f.
-42*f
Suppose -5*n + 3*n = 14. Let x(v) = v**2 + 7*v + 5. Let u be x(n). Find the third derivative of 5*d**2 - 3*d**6 + u*d**6 - 6*d**2 wrt d.
240*d**3
Let c(w) be the second derivative of w**9/432 + 7*w**6/360 - w**3/2 - 6*w. Let l(p) be the second derivative of c(p). Find the third derivative of l(f) wrt f.
420*f**2
Suppose 8 = o + 3*o. Let l(q) be the first derivative of -1 - 1/5*q**5 + 0*q**4 - 1/2*q**o + 0*q**3 + 0*q. Find the second derivative of l(x) wrt x.
-12*x**2
Let a(z) be the third derivative of -3*z**7/70 + 13*z**5/60 + 30*z**2. Find the third derivative of a(c) wrt c.
-216*c
What is the second derivative of 106*k**2 - 106*k**2 + k**3 - 16*k wrt k?
6*k
Let f(v) be the second derivative of v**8/840 + v**5/60 - v**3/3 + v. Let q(z) be the second derivative of f(z). Find the second derivative of q(a) wrt a.
24*a**2
Let n(j) be the third derivative of -3*j**4/2 + 10*j**3/3 - 14*j**2. Differentiate n(q) with respect to q.
-36
Let y(l) be the first derivative of -7*l**4 - 33*l**2/2 - 14. What is the second derivative of y(z) wrt z?
-168*z
Let n(p) be the first derivative of -p**6/2 + 5*p**3/3 - 9. What is the third derivative of n(a) wrt a?
-180*a**2
Let j(v) be the second derivative of -v**10/3780 + v**7/630 + v**4/6 - 7*v. Let h(m) be the third derivative of j(m). Find the third derivative of h(f) wrt f.
-480*f**2
Let l(x) = 13*x**2 + 4*x - 4. Let j = 18 - 22. Let g(z) = -14*z**2 - 3*z + 5. Let u(m) = j*g(m) - 5*l(m). What is the second derivative of u(n) wrt n?
-18
Suppose -2 = -d + 2. Suppose w 