the second derivative of -20*d**4 - 16*d**4 + 41*d**4 + 9*d wrt d.
60*d**2
Let r(p) be the third derivative of 0*p**6 + p**2 - 1/24*p**4 + 0*p**5 + 0*p**3 + 0*p + 0 - 1/105*p**7. Find the second derivative of r(l) wrt l.
-24*l**2
Let q(b) be the second derivative of 0*b**6 + 1/56*b**8 + b + 0*b**7 + 0 + 1/4*b**4 + 0*b**2 + 0*b**3 + 0*b**5. What is the third derivative of q(m) wrt m?
120*m**3
Suppose 4*n + 25 = 5*a, -3*n + 0*a = 3*a + 12. Let c = n + 7. Find the third derivative of 2*d**2 + d**c + d**6 - d**2 wrt d.
120*d**3
What is the second derivative of 7*n**4 + 6*n**4 + 9*n - n - 22*n**4 wrt n?
-108*n**2
Let l(y) be the first derivative of -14*y**4 - 18*y**2 + 25. What is the second derivative of l(t) wrt t?
-336*t
Let g(u) = u**2 - 3*u - 8. Let v be g(5). What is the third derivative of -5*r**6 + 4*r**2 + 0*r**6 + 0*r**v wrt r?
-600*r**3
Let r(m) = -2*m**4 - 2*m**2. Let a(v) = -v**4 - v**2. Let k be -5 - (0 + 2 - 2). Let t(h) = k*a(h) + r(h). Find the third derivative of t(s) wrt s.
72*s
Let s(g) be the second derivative of 0 - 3*g - 3/2*g**2 + 0*g**4 - 1/20*g**5 + 0*g**3. Differentiate s(v) with respect to v.
-3*v**2
Let z(w) = w + 2. Let t(j) = -58*j**2 + 2*j + 75. Let q(l) = -t(l) + 2*z(l). What is the derivative of q(h) wrt h?
116*h
Let l(v) be the first derivative of 4*v**4 - 19*v**2 - 15. What is the second derivative of l(a) wrt a?
96*a
Let n(b) be the second derivative of -13*b**5/10 + 23*b**3/6 - 14*b. Find the second derivative of n(z) wrt z.
-156*z
Let a(b) = -4*b**3 + 5*b**2 - 2*b + 2. Let t(v) = -8*v**3 + 11*v**2 - 5*v + 5. Let u(j) = -5*a(j) + 2*t(j). Find the third derivative of u(p) wrt p.
24
Let z(u) be the second derivative of u**8/3360 - u**6/144 + u**4/3 - 5*u. Let v(s) be the third derivative of z(s). What is the second derivative of v(o) wrt o?
12*o
Find the third derivative of -1207*p**2 + 1208*p**2 + 18*p**6 + 0 + 18 + p**3 wrt p.
2160*p**3 + 6
Suppose 3*l - l - l = 0. Let y(j) be the second derivative of -1/4*j**4 + l*j**3 - j + 0 + j**2. Find the first derivative of y(s) wrt s.
-6*s
Let o(t) = -t + 13. Let d be o(13). Let i(y) be the first derivative of d*y - 1/3*y**3 + 0*y**2 - 2 - 1/4*y**4. What is the third derivative of i(k) wrt k?
-6
Let c(l) be the third derivative of 0*l**4 - l**2 - 1/120*l**6 + 0*l**3 + 0 + 0*l + 1/30*l**5. What is the third derivative of c(m) wrt m?
-6
Let q(g) = 8*g**2 + 10*g - 2. Let i(h) = -33*h**2 - 40*h + 9. Let t(p) = 4*i(p) + 18*q(p). What is the second derivative of t(o) wrt o?
24
Let t(r) be the third derivative of -r**8/112 - r**4/6 - 10*r**2. What is the second derivative of t(o) wrt o?
-60*o**3
Suppose -6 + 2 = -l, 0 = 4*x - 2*l + 4. Suppose 5*o = 3*r + 3*o - x, 5*r - 3*o = 3. What is the third derivative of -2*f**6 + f**6 - 1 - r*f**2 + 1 wrt f?
-120*f**3
Let l(g) be the second derivative of 0 + 1/2*g**3 + 3*g - g**2. Find the first derivative of l(y) wrt y.
3
Let v(k) be the third derivative of 0 + 0*k**6 + 5*k**2 + 0*k**3 + 1/15*k**5 + 0*k + 0*k**7 + 0*k**4 + 1/168*k**8. Find the third derivative of v(q) wrt q.
120*q**2
Let k(b) = -18*b**3 - 3*b**2 - 8. Let g(o) = -o**3 + o**2 + 1. Let f(u) = -3*g(u) - k(u). Find the first derivative of f(r) wrt r.
63*r**2
Suppose -2*z + 4*n = -0*n + 2, 5*z - 4*n = -29. Let p = z + 14. What is the third derivative of 2*x**p + 6*x**2 + x**2 - x**5 - 5*x**2 wrt x?
60*x**2
Suppose 0 = 7*m - 3*m - r - 4, 24 = 2*m + 5*r. What is the first derivative of 0 + 7 - m*f**3 - 4 wrt f?
-6*f**2
Let s(a) = -5*a - 4. Let w be s(-4). Differentiate -16*z - 4*z**4 + 3 + w*z with respect to z.
-16*z**3
Let i = -5/2 + 79/30. Let m(d) be the second derivative of 2/3*d**3 + 0*d**5 + i*d**6 + 0 + 0*d**2 + 0*d**4 + 2*d. What is the second derivative of m(w) wrt w?
48*w**2
Let j(k) = -k**2 + 1. Let u(d) = -5*d + 4. Let t(o) = 4*j(o) - u(o). What is the second derivative of t(b) wrt b?
-8
Let y(w) be the third derivative of -w**9/10080 - w**6/120 - w**5/20 - 2*w**2. Let s(p) be the third derivative of y(p). Differentiate s(o) wrt o.
-18*o**2
Let b(m) be the third derivative of -7*m**4/12 - 8*m**3/3 - 15*m**2. Find the first derivative of b(a) wrt a.
-14
Suppose -f - f + r = -2, r + 11 = 5*f. Differentiate 4*g**3 + 0 + 2 - 5*g**f wrt g.
-3*g**2
Let c(t) be the third derivative of -t**7/70 - 2*t**4/3 + 6*t**2. What is the second derivative of c(o) wrt o?
-36*o**2
Let x(b) = b + 8. Let s be x(-6). Suppose 5*j - 2 = 13. What is the third derivative of 2*t + 0*t - s*t**2 + 2*t**j - 2*t wrt t?
12
Let d(w) be the third derivative of -w**7/42 - w**5/20 - 6*w**2. Find the third derivative of d(i) wrt i.
-120*i
Find the third derivative of -5697*c**3 + 65*c**6 - 62*c**2 + 5697*c**3 wrt c.
7800*c**3
What is the second derivative of 2*x - 8*x**2 - x + 4*x wrt x?
-16
Let i(o) be the first derivative of o**8/560 + o**6/360 - o**3/3 + 3. Let m(x) be the third derivative of i(x). Find the third derivative of m(l) wrt l.
72*l
Suppose -4*h = -3*h - 5. Find the first derivative of -p - 7 + h*p - 3*p wrt p.
1
Suppose 7*s = 5*s. Let k(y) be the third derivative of 1/6*y**3 - 1/60*y**5 + 0*y + 3*y**2 + s*y**4 + 0. Find the first derivative of k(u) wrt u.
-2*u
Find the second derivative of 80*t**2 + 96*t**2 + 30*t - 209*t**2 wrt t.
-66
What is the third derivative of q**2 - 2*q**2 + 2*q**2 - 5*q + 28*q**4 + 3*q**2 wrt q?
672*q
What is the first derivative of 4*f**3 - 8 + 3*f**3 - 10 - 4*f**3 wrt f?
9*f**2
Let i(o) be the third derivative of -o**5/6 + 3*o**4/8 - o**2. What is the second derivative of i(p) wrt p?
-20
Let z = 19 + -17. What is the derivative of -z*m - 2 + 1 + 4*m + 2*m wrt m?
4
Let z(o) be the first derivative of o**5/10 - 5*o**3/6 - 7*o**2/2 + 8. Let a(w) be the second derivative of z(w). Find the first derivative of a(q) wrt q.
12*q
Let l(n) be the second derivative of 29*n**6/30 + 25*n**3/3 - 61*n. Find the second derivative of l(s) wrt s.
348*s**2
Suppose -2*v = -5*q + 3 + 25, -36 = -4*q + 5*v. Find the first derivative of -2*p + 4 - q*p + 0*p + 3*p wrt p.
-3
Suppose 4*m = 4 + 12. What is the first derivative of 2*r - 4*r - 5 + m + 0*r wrt r?
-2
Let c(k) = -30*k - 12. Let t(w) = 15*w + 6. Let m(n) = -4*c(n) - 9*t(n). Differentiate m(x) wrt x.
-15
Find the first derivative of -7 + 0*w + 5*w + w + 8 wrt w.
6
Let k(j) = 32*j**5 + 6*j**4 - 6*j**3 + j - 6. Let y(s) = -s**5 - s**4 + s**3 + s + 1. Let p(a) = k(a) + 6*y(a). What is the second derivative of p(u) wrt u?
520*u**3
Let b(r) = -3*r**2 - 10*r**2 + 7 + 6*r**2 + 20*r**2. Let q(d) = -6*d**2 - 4. Let t(y) = 3*b(y) + 7*q(y). What is the derivative of t(c) wrt c?
-6*c
Let n be (1/3)/(2/12). Find the second derivative of 13*j + 3*j**n - 3*j**2 - 8*j + 2*j**3 wrt j.
12*j
What is the first derivative of 4 + 3*z**2 + 10 - z**3 - 3*z**2 wrt z?
-3*z**2
Let m(g) = g**5 - g**4 - g**2 + g + 1. Let o(c) = -44*c**5 + c**4 + c**2 - 41*c - 1. Let t(w) = -m(w) - o(w). What is the second derivative of t(y) wrt y?
860*y**3
Let c(r) be the second derivative of 11*r**8/56 + 5*r**4/6 + 13*r. What is the third derivative of c(f) wrt f?
1320*f**3
Let w be 8/(-6)*(-9)/6. Suppose -2*n = -w - 4. Find the second derivative of -4*r + 0*r + n*r + 4*r**4 + 3*r wrt r.
48*r**2
Let r(d) be the third derivative of 13*d**6/30 + d**5/3 - 12*d**2 - 2*d. Find the third derivative of r(o) wrt o.
312
Let j(p) be the first derivative of -11*p**5/5 + 8*p**3/3 - 3. Find the third derivative of j(g) wrt g.
-264*g
Let o(s) = s**4 - s**3 + s**2. Let d(n) = 5*n**4 - 8*n**3 + 8*n**2 - 4. Let f(x) = 3*d(x) - 24*o(x). Find the first derivative of f(h) wrt h.
-36*h**3
What is the derivative of 4 - 6 + 0 + 18*t**2 - 2 wrt t?
36*t
Find the second derivative of 3 + 9*a**3 - 5*a - 1 - 2 wrt a.
54*a
Let w(x) = 3*x - 20. Let c be w(8). Suppose 4*h - h = 6. Find the second derivative of -2*p**h + c*p - p - p wrt p.
-4
Let y(b) = -2*b + 8. Suppose 3 = -g + 4. Let o(w) = -w + 1. Let d(h) = g*y(h) - 5*o(h). Differentiate d(z) wrt z.
3
Let u(l) be the second derivative of -3*l**5/10 + 2*l**2 - l. Find the first derivative of u(i) wrt i.
-18*i**2
Find the third derivative of 13*d**4 - 19*d**4 + 0*d**3 + 0*d**3 + 7*d**2 wrt d.
-144*d
Let l(m) = m**3 - 6*m**2 + 3. Let o be l(6). Find the third derivative of 3*b**3 + 3*b**4 - 3*b**2 - 3*b**o wrt b.
72*b
Let g(q) be the third derivat