) be the second derivative of -77*c**5/20 - 31*c**2/2 + 6*c - 2. Find the first derivative of w(f) wrt f.
-231*f**2
Let l(b) be the first derivative of -38*b**3/3 + 3*b**2 - 8*b - 23. What is the second derivative of l(m) wrt m?
-76
Let g(h) be the second derivative of 19/28*h**8 + 2*h**4 + 0 + 0*h**3 + 0*h**2 + 0*h**5 - 23*h + 0*h**6 + 0*h**7. What is the third derivative of g(i) wrt i?
4560*i**3
Suppose 16 = 2*x + 2*a, 9*x - 6*x + 1 = 2*a. Let r(v) be the second derivative of -5*v + 0*v**x + 0 + 0*v**4 + 5/2*v**2 + 1/5*v**5. Differentiate r(g) wrt g.
12*g**2
Let r(a) be the third derivative of 271*a**9/504 + 47*a**5/60 + a**3/6 - 94*a**2. Find the third derivative of r(t) wrt t.
32520*t**3
Let q(u) be the third derivative of 61*u**8/336 - u**4/8 + 4*u**3/3 - 119*u**2. What is the second derivative of q(b) wrt b?
1220*b**3
Let k(b) be the second derivative of b**3/6 + 3*b. Let q(g) = -15*g - 4. Let u(i) = 18*k(i) + 2*q(i). Find the first derivative of u(h) wrt h.
-12
Let l be 9 + -3 - 0 - (9 + -3). Let o(y) be the second derivative of 5*y + 0*y**4 + l - 3/10*y**5 + 0*y**3 + 7/2*y**2. Find the first derivative of o(c) wrt c.
-18*c**2
Let n(t) be the first derivative of 3*t**5/5 + 9*t**4 + 44*t**3/3 - t**2/2 - 281. What is the third derivative of n(s) wrt s?
72*s + 216
Find the third derivative of 16*t**3 - 253*t**2 - 81028 + 81028 wrt t.
96
Differentiate 102*x**4 - 34 + 13*x**4 - 74 - 22*x**4 with respect to x.
372*x**3
Suppose -v + 5*j + 15 = 0, -2*v + 0*j - j + 8 = 0. Find the third derivative of 18*d**3 - 21 + 11*d**2 + v*d**2 + 21 wrt d.
108
Let b(a) be the first derivative of 0*a**2 + 31/3*a**3 - 43*a + 53. Differentiate b(s) wrt s.
62*s
Suppose 7 + 9 = 2*l + r, 4*l - 4*r = 8. Suppose 0 = l*o - 4*o. Find the second derivative of 0*i**2 + 6*i**2 + o*i + 2*i - 4*i wrt i.
12
Let x(l) = -l**2 - 3*l + 1. Let u be x(2). Let k = u - -14. What is the second derivative of 2*r + 8*r**5 - 7*r - 3*r**k wrt r?
100*r**3
Let c(w) be the second derivative of -61*w**6/30 - 33*w**3/2 - w + 15. What is the second derivative of c(y) wrt y?
-732*y**2
Let n(k) = k**4 + 61*k**3 - 3*k - 6. Let l(q) = -2*q**4 - 121*q**3 + 5*q + 13. Let v(b) = -3*l(b) - 5*n(b). Find the first derivative of v(f) wrt f.
4*f**3 + 174*f**2
Find the third derivative of 0*i - 448*i**4 + 54*i**2 + 0*i + 2*i**5 + 481*i**4 wrt i.
120*i**2 + 792*i
Suppose 11 = 2*a - a. Find the first derivative of -18*p + a*p + 10*p + 9 wrt p.
3
Let s(j) = -5*j**3 + 3*j - 1. Let b = 35 + -23. Let m = 8 - b. Let g(z) = -5*z**3 + 4*z - 2. Let y(w) = m*s(w) + 3*g(w). What is the derivative of y(a) wrt a?
15*a**2
Let a(x) = x**3 - 7. Suppose u - 2 = -3*v, -6*u = 2*v - 3*u + 8. Let j(l) = -8. Let m(o) = v*a(o) - 3*j(o). What is the derivative of m(i) wrt i?
6*i**2
Let a(d) be the second derivative of -5/3*d**4 - 37*d - 13/2*d**2 + 0 + 0*d**3. What is the derivative of a(f) wrt f?
-40*f
Let u(n) be the second derivative of -297*n**5/20 + 349*n**3/6 - n**2/2 - 203*n. Find the second derivative of u(d) wrt d.
-1782*d
Let j(y) = -y**2 - 6*y + 11. Let s be j(-7). Let g be 184/3 - (-10)/15. Find the first derivative of -64 + 2*o - 2*o + g + 2*o**s wrt o.
8*o**3
Let v = -36 - -38. What is the third derivative of 324*o**3 - o**2 - 319*o**3 - 4*o**v + 0*o**2 wrt o?
30
Let n(h) be the second derivative of -7*h**6/30 - h**5/20 - 8*h**2 - 2*h + 9. What is the first derivative of n(s) wrt s?
-28*s**3 - 3*s**2
Let n(j) = j**3 + 12*j**2 + 7*j - 10. Let i be n(-11). Let y = 38 - i. Find the third derivative of f**2 + 6 + 3*f**2 - 12*f**y - 6 wrt f.
-288*f
Let p(s) be the third derivative of 0*s**6 + 0*s**5 + 1/21*s**8 + 0*s**7 + 0*s + 0*s**3 + 5*s**2 - 5/12*s**4 + 0. Find the second derivative of p(v) wrt v.
320*v**3
Suppose 0 = -x + 2*x - 2. Let u(p) be the first derivative of 0*p**x - 2/3*p**3 + 3*p + 3. What is the derivative of u(c) wrt c?
-4*c
Let c(f) = -5*f**2 - 17*f - 72. Let i(g) = 16*g**2 + 55*g + 215. Let y(r) = -7*c(r) - 2*i(r). Differentiate y(q) wrt q.
6*q + 9
Let l(p) be the first derivative of -121*p**3/3 - 57*p**2 + 60. What is the second derivative of l(n) wrt n?
-242
What is the third derivative of 415*n**2 + 450*n**4 + 205*n**2 - 23*n**2 + 10*n - 10*n wrt n?
10800*n
Let t(a) = -2*a - 3*a**2 + a + 4*a**2. Let m(k) = 4*k**3 - 7*k**2 + 18*k. Let q(w) = 3*m(w) + 21*t(w). Find the second derivative of q(s) wrt s.
72*s
Let t(d) be the third derivative of 77*d**5/60 + d**4/24 + 257*d**3/6 - 15*d**2 - 15. Differentiate t(i) with respect to i.
154*i + 1
Let z = 84 + -55. What is the second derivative of -494 - c**5 + 494 + z*c - 2*c**5 wrt c?
-60*c**3
Let t(s) = -6*s + 8*s - 4 + 5*s - s**2. Let k be t(5). What is the third derivative of x**2 + 38*x**5 - 38*x**5 + 4*x**6 - k*x**2 wrt x?
480*x**3
Find the third derivative of 23*s**3 + 20*s**3 + 73*s**2 + 13*s**3 - 3*s**6 - 63*s**3 wrt s.
-360*s**3 - 42
Let u be (0 - -1)/((-2)/(-4)). Find the second derivative of u*p**3 - 5*p**3 + p + 13*p**3 wrt p.
60*p
Let d be (-12 - -6)*2/(-4). Suppose d*a - 8 = -4*p + 9, -3*p - 2*a = -12. Differentiate 2*t**2 - 1 + 0*t**2 + p*t**2 with respect to t.
8*t
Let r(k) be the third derivative of -547*k**4/24 - 200*k**3/3 - 111*k**2. What is the derivative of r(f) wrt f?
-547
Let g(t) be the third derivative of t**4/24 + t**3/3 + 4*t**2. Let d be g(0). Find the third derivative of -4*o**2 + 17*o**4 - 17*o**4 - d*o**6 wrt o.
-240*o**3
Let u = 13 + -9. Find the second derivative of -q - 6*q**4 - 7*q - u*q**4 - 2*q**4 wrt q.
-144*q**2
Let u(f) be the third derivative of f**5/12 - 19*f**4/12 + 2*f**3 - 179*f**2 - 2*f. What is the derivative of u(t) wrt t?
10*t - 38
Let z = -1 - -7. Let o(a) = a**3 - 13*a**2 + 3. Let i be o(13). What is the third derivative of 0*f**6 - f**2 + i*f**z - 3*f**2 + 0*f**2 wrt f?
360*f**3
Let q(u) be the first derivative of -u**7/120 - u**4/12 - 8*u**3/3 - 8. Let o(h) be the third derivative of q(h). What is the derivative of o(b) wrt b?
-21*b**2
Find the third derivative of -20*j**2 + 13*j**6 + 81*j**6 - j + 3*j wrt j.
11280*j**3
Let u be (65 - 60)*3/5*1. Let o(w) be the first derivative of -13 + 13*w + 0*w**2 - 2/3*w**u. What is the first derivative of o(m) wrt m?
-4*m
Differentiate 160*b**4 + 113*b**4 - 360 - 385 + 72*b**4 with respect to b.
1380*b**3
Let d(y) = y**3 - y. Suppose -2*v - 4 + 2 = 0. Let c(k) = 26*k**4 - 5*k**3. Let x(j) = v*c(j) - 5*d(j). Find the second derivative of x(u) wrt u.
-312*u**2
What is the second derivative of 92*a - 95*a**5 + 79*a**5 + 55*a**5 wrt a?
780*a**3
Let v be (-103)/(-3) + 1/(-3). What is the third derivative of -28*j**3 - v*j**2 - 3*j**2 + 8*j**2 wrt j?
-168
Find the second derivative of 64*a - 98*a**2 + 73*a + 182*a**2 + 19*a wrt a.
168
What is the derivative of -10*l**2 - 494 + 490 + 14*l - 5*l wrt l?
-20*l + 9
Let u(g) be the second derivative of 0*g**4 + 5/6*g**3 - 3/20*g**5 + 0*g**2 + 2*g + 0. What is the second derivative of u(s) wrt s?
-18*s
Let y(l) be the third derivative of -l**8/24 + l**6/60 + 73*l**4/24 - 50*l**2 + 1. Find the second derivative of y(v) wrt v.
-280*v**3 + 12*v
Let y = -19 + 18. Let t(c) = -c**3 - 1. Let f(d) = 15*d**3 + d**2 - 3. Let v(j) = y*f(j) + 3*t(j). Find the third derivative of v(o) wrt o.
-108
Let r(f) = f**3 + f**2 - f + 3. Let y(g) = -195*g**3 - 188*g**2 + 2*g - 6. Let z(a) = 2*r(a) + y(a). Find the third derivative of z(n) wrt n.
-1158
Let z = 15 + -5. Differentiate -7*t + 8*t + 2 + z*t with respect to t.
11
Let d(z) = -4*z - 4. Let q be d(-4). What is the third derivative of 12 - q - 2*c**4 - 11*c**4 + 7*c**2 wrt c?
-312*c
Let m(s) be the second derivative of s**6/24 + s**4/6 + 7*s**2 - 3*s. Let t(i) be the first derivative of m(i). What is the second derivative of t(o) wrt o?
30*o
Let y(j) = 2*j**3 - j**2. Let a(d) = -2*d**4 + 345*d**3 + 3*d**2 + 18*d - 4. Let i(p) = -a(p) - 3*y(p). What is the second derivative of i(l) wrt l?
24*l**2 - 2106*l
Let w = -18 + 20. Let m(x) be the second derivative of w*x**2 + 0 + 3*x + 7/6*x**3. What is the first derivative of m(a) wrt a?
7
Let v(q) be the first derivative of 119*q**5/5 + q**4/4 - 32*q**3/3 + q + 109. What is the third derivative of v(a) wrt a?
2856*a + 6
What is the third derivative of 69*p**2 - 3*p**4 - 9*p**2 + 0*p**5 + 18*p**2 + 23*p**2 - 3*p**5 wrt p?
-180*p**2 - 72*p
Suppose -4