*k + 8. Let w(x) = -x**5 + x**4 + x**3 - x - 1. Let m(j) = -8*w(j) - y(j). What is the second derivative of m(g) wrt g?
-40*g**3
Let c = -9 - -14. What is the first derivative of t - 3*t - 3 - 2*t + c*t wrt t?
1
Let n(c) be the third derivative of c**8/12 - c**5/6 - 25*c**2. Find the third derivative of n(q) wrt q.
1680*q**2
Find the third derivative of -15*n**2 - 29*n**3 + 25*n**2 - 23*n**3 + 24*n**2 wrt n.
-312
Let z(l) = -8*l**3 + 4*l**2 - 58*l - 6. Let u(g) = 15*g**3 - 9*g**2 + 116*g + 11. Let y(b) = 6*u(b) + 11*z(b). What is the second derivative of y(f) wrt f?
12*f - 20
Let t be (1/1)/(-1) - -1. Suppose -g + 2 - 1 = t. Differentiate -g + s + s + 0*s with respect to s.
2
Find the third derivative of 38*v**4 + 13*v**6 + 5*v**6 - 17*v**2 - 38*v**4 wrt v.
2160*v**3
Let f be 7/4 + (-4)/(-16). What is the second derivative of -f + 3*x - 3*x**2 + 2 wrt x?
-6
Let z(m) be the third derivative of -m**7/30 + m**4/8 - 5*m**2. Find the second derivative of z(y) wrt y.
-84*y**2
Let w(j) be the second derivative of -j**5/2 + 2*j**3/3 + 15*j. What is the second derivative of w(d) wrt d?
-60*d
Let a(v) be the third derivative of 19*v**4/24 + 4*v**3/3 - 14*v**2. Differentiate a(j) wrt j.
19
Let i(m) be the second derivative of m**7/70 + m**4/8 + 2*m**2 + 3*m. Let z(g) be the first derivative of i(g). Find the second derivative of z(v) wrt v.
36*v**2
Let z(n) be the second derivative of -n**7/21 - 2*n**4/3 - 9*n. Find the third derivative of z(p) wrt p.
-120*p**2
Let i(c) = -24*c**2 + 33. Let r(a) = -12*a**2 + 16. Let o(u) = -3*i(u) + 7*r(u). Differentiate o(f) wrt f.
-24*f
Let w(y) = 2*y**2 + 5*y - 5. Let z(a) = -3*a**2 - 6*a + 5. Let d(u) = 6*w(u) + 5*z(u). Differentiate d(r) with respect to r.
-6*r
Find the third derivative of -65*j**3 + 27*j**3 + 18*j**3 + 41*j**2 + 26*j**2 wrt j.
-120
Let y(i) = 21*i**3 + 6*i**2 - i + 6. Let o(q) = -41*q**3 - 11*q**2 + q - 11. Let c(v) = 6*o(v) + 11*y(v). What is the second derivative of c(r) wrt r?
-90*r
Let i(d) be the first derivative of 4 + 7/3*d**3 + 7*d + 0*d**2. What is the first derivative of i(g) wrt g?
14*g
Suppose -4*l = -3*w + 75, w + 4*w - 3*l = 125. Suppose 2*b = 7*b - w. Find the first derivative of 7*h - 2 + 1 - b*h wrt h.
2
Find the third derivative of 17*l**4 - 23*l**3 + 4 - 4 + 26*l**3 - 25*l**2 wrt l.
408*l + 18
Let u be 75/(-12) - (-1)/4. Let f = u - -9. Find the third derivative of 2*i**2 - f*i**2 - i**2 + i**3 wrt i.
6
Suppose c + 1 + 4 = 0. Let o = c + 8. Find the third derivative of -a**2 - 3*a**o - 2*a**3 + 3*a**3 wrt a.
-12
Let g(h) be the third derivative of 5*h**8/336 + 5*h**4/24 - 2*h**2. What is the second derivative of g(y) wrt y?
100*y**3
Let f(b) = 5*b**3 - 2*b**2 + 1. Let w be f(1). Suppose -p + 5 = 0, 0 = w*u + 3*p + 2*p - 33. Find the second derivative of -5*n - n**2 + n + u*n wrt n.
-2
What is the first derivative of -1 - 2*v**2 - 1 - 5 - 1 wrt v?
-4*v
Let c(s) be the third derivative of -s**7/10 + 9*s**4/8 + 33*s**2. Find the second derivative of c(f) wrt f.
-252*f**2
Let y(k) be the first derivative of -2*k**6/15 + 7*k**4/12 - 4*k - 7. Let c(x) be the first derivative of y(x). Find the third derivative of c(p) wrt p.
-96*p
Find the second derivative of -2*z - 24 + z + 157*z**3 - 156*z**3 - 34*z**2 wrt z.
6*z - 68
Let x(a) = -2*a - 4. Let i be x(-3). Suppose -4 - 6 = -i*q. What is the third derivative of -m**5 + m**2 - 3*m**q + 5*m**5 wrt m?
60*m**2
Let b(f) be the first derivative of 26*f**6/3 - 3*f**2/2 + 11*f - 31. What is the second derivative of b(d) wrt d?
1040*d**3
Let t = -22 + 26. Find the second derivative of -f - f + 4*f - t*f**5 + 6*f wrt f.
-80*f**3
Let s(b) be the first derivative of -b**5/5 - 28*b + 27. What is the first derivative of s(a) wrt a?
-4*a**3
Let k(b) be the second derivative of -b**5/120 + b**4/24 - b**3/6 - 3*b. Let r(a) be the second derivative of k(a). Find the first derivative of r(o) wrt o.
-1
Differentiate 25*n**3 + 8 - 26 - 13 wrt n.
75*n**2
Let k(n) = 3*n + n + n**3 + 7*n**3. Let t(s) = 17*s**3 + 9*s. Let j(b) = 13*k(b) - 6*t(b). Find the second derivative of j(q) wrt q.
12*q
Let t(c) = c**2 + c - 1. Let q(w) = -12*w**2 - 22*w + 14. Let o(m) = -2*q(m) - 44*t(m). What is the derivative of o(n) wrt n?
-40*n
Let o(q) be the second derivative of 0*q**5 + 5/12*q**4 - 9*q + 0*q**2 + 0 - 1/5*q**6 + 0*q**3. Find the third derivative of o(w) wrt w.
-144*w
Let o(k) = -k + 1. Let f be o(-2). What is the third derivative of 2*d**6 + d**6 - f*d**2 + 2*d**6 wrt d?
600*d**3
Let w = 1 + 4. What is the first derivative of w*l + 1 - 5 - l wrt l?
4
Let h(j) be the first derivative of 0*j**3 + 0*j + 1/4*j**4 - 1/2*j**2 - 3. What is the second derivative of h(f) wrt f?
6*f
Suppose -3*q + 4*q = t + 7, -t - 5 = -3*q. Let u = t - -10. What is the second derivative of -5*r**u + 4*r**2 + 5*r**2 - 5*r**2 - 2*r wrt r?
-2
Let z(t) be the third derivative of 0*t**3 + 5/24*t**4 - 1/24*t**6 + 0*t**5 + 0*t - t**2 + 0. What is the second derivative of z(s) wrt s?
-30*s
Let x(b) = 3*b + 4*b**2 - 4*b**2 + 3*b**3. Let z(l) = -3 - 252*l + 3 + 253*l. Let u(m) = x(m) - z(m). Find the second derivative of u(n) wrt n.
18*n
What is the second derivative of 2 - 2 + 6*v**3 + v**3 + 7*v wrt v?
42*v
Let u(m) be the first derivative of -5*m**3/3 - 4*m**2 - 18. What is the second derivative of u(r) wrt r?
-10
Let o = -22 - -24. What is the third derivative of 7*m**5 - 9*m**2 - o*m**5 + 6*m**2 wrt m?
300*m**2
Let z(m) be the third derivative of -3*m**2 + 0 + 0*m**3 - 1/12*m**4 + 0*m - 1/30*m**5. What is the second derivative of z(v) wrt v?
-4
What is the second derivative of 17*d - 10*d + 6 - 5*d - 4*d**4 + 32*d**4 wrt d?
336*d**2
Find the third derivative of 4 - 27*o**2 - 42*o**3 + 6*o**3 - 5 - 7*o**3 wrt o.
-258
Differentiate -2*l**2 - 5*l**2 + 381 - 358 wrt l.
-14*l
Suppose -a = 3*a. Suppose -p + 2*p - 3 = a. What is the second derivative of -p*x**4 + x + 2*x**4 + x wrt x?
-12*x**2
Suppose 4*r = -7 + 27. What is the derivative of 5*v + r - 3*v - 14 + 2*v wrt v?
4
Differentiate 7 + 30*z + 0 - 19 - 16 with respect to z.
30
Let v(t) = -t**2 - 10*t + 2. Let i be v(-10). Suppose 3*r - 5*q - 37 = 0, 5*r - 6*q = -i*q + 40. Differentiate 1 + 8*o**2 + 2 - r*o**2 with respect to o.
8*o
Let k(n) be the second derivative of -7*n**4/12 - 3*n**3/2 + 3*n. What is the second derivative of k(y) wrt y?
-14
Let m(w) be the third derivative of w**6/20 + 7*w**5/60 + 31*w**3/6 + 10*w**2. What is the derivative of m(s) wrt s?
18*s**2 + 14*s
Let m = -8 - -11. Find the second derivative of x + x**m + 0*x - x - x wrt x.
6*x
Let y(q) be the second derivative of 0 + 0*q**4 + 0*q**5 + q**2 + 0*q**3 - q + 1/10*q**6. What is the derivative of y(u) wrt u?
12*u**3
Suppose 3*m - d - 19 + 6 = 0, -19 = -m + 4*d. What is the second derivative of -11*z + m*z**3 + 8*z + 10*z wrt z?
18*z
Let u(r) be the second derivative of -r**9/3024 - r**7/280 - 2*r**4/3 - 7*r. Let m(l) be the third derivative of u(l). Find the third derivative of m(w) wrt w.
-120*w
Let v(f) be the third derivative of -2*f**7/105 + f**6/60 + 2*f**4 + 18*f**2. Find the second derivative of v(i) wrt i.
-48*i**2 + 12*i
Let h(i) = -i + 4. Let t be h(-4). Let f = -5 + t. Find the first derivative of -6 - 3*a**2 + f*a**2 + 9 - a**3 wrt a.
-3*a**2
Let t(u) = -9*u**4 - 8*u**2 + 2*u - 2. Let g(j) = 45*j**4 + 39*j**2 - 11*j + 11. Let s(a) = -2*g(a) - 11*t(a). Find the third derivative of s(x) wrt x.
216*x
Let q(b) be the second derivative of -4*b + 3/20*b**5 - 5/6*b**3 + 0*b**4 + 0 + 0*b**2. Find the second derivative of q(x) wrt x.
18*x
Let o(f) be the second derivative of f**7/630 + f**5/30 + f**4/4 - 5*f. Let c(g) be the third derivative of o(g). Find the first derivative of c(y) wrt y.
8*y
Let v = -8 - -8. Let w(g) be the third derivative of -1/3*g**3 + 0*g + 0*g**4 + v + 1/60*g**5 + g**2. Differentiate w(s) wrt s.
2*s
Let m be 0 + -1 + 2 + 1. Find the third derivative of m*d**2 - 20*d**3 + 17*d**3 - 2*d + 2*d wrt d.
-18
Let y(n) be the first derivative of -10*n**3/3 + 4*n**2 - 17. What is the second derivative of y(c) wrt c?
-20
What is the second derivative of -x**2 + 2*x**2 - 3*x**2 - 3*x wrt x?
-4
Let o(z) be the third derivative of 0 + 2/3*z**3 + z**2 + 0*z + 1/12*z**4. Differentiate o(d) wrt d.
2
Let b(d) be the third derivative of -d**6/40 - d**3/3 - 2*d*