Let d = -8 + 9. Let h be ((-6)/12)/(d/(-2)). Differentiate -h - 4 + b + 6 + 3 with respect to b.
1
Suppose 15*c - 10*c - 4735 = 0. Find the third derivative of 0*v + 0*v - c*v**3 + 936*v**3 - 13*v**2 wrt v.
-66
Suppose -2*w + 4 = -c, 5*w + 0 = -2*c + 19. Suppose 0*z - c*z = -10. Find the second derivative of -3*t - z*t**4 + 0*t**4 - t + 4*t**4 wrt t.
-12*t**2
Suppose 10 = 3*a - 8. Let f = 21 - 15. Find the third derivative of -3*k**a - k**6 + f*k**6 + 2*k**2 wrt k.
240*k**3
Suppose t = 5 - 3. Let k(p) be the first derivative of 6/5*p**5 + 0*p + 0*p**3 - 3 + 1/2*p**t + 0*p**4. Find the second derivative of k(a) wrt a.
72*a**2
Let l(g) be the second derivative of -3*g**8/112 - g**5/15 + g**2 - 24*g. Let q(h) be the first derivative of l(h). What is the third derivative of q(c) wrt c?
-540*c**2
What is the third derivative of -148*x**5 + 265*x**5 + 0 - 153*x**5 + 126*x**2 + 2 wrt x?
-2160*x**2
What is the derivative of -39 - 97 - 63 - 3*y**2 - 18*y + 7 wrt y?
-6*y - 18
Let g(n) = -n**2 + 4*n + 1. Let o be g(3). Suppose t + 33 = o*t. Find the third derivative of 0 - 5*j**2 - t*j**6 + 0 + 22*j**6 wrt j.
1320*j**3
Suppose 0 = -2*s + 5*g - 4, g = 2 + 2. Suppose v + s = 3*v. Find the third derivative of -11*q**6 + 11*q**6 + v*q**2 - 2*q**6 wrt q.
-240*q**3
Let s be (-18)/27*-3*1. Find the third derivative of -4*a**2 - 10*a**s + 4*a**3 + 3*a**2 - 16*a**3 wrt a.
-72
Let m be 129/15 + (-8)/(-20). Differentiate -11*t**2 + 3 + 1 + m*t**2 + 18*t**2 with respect to t.
32*t
Differentiate 10*m**3 - 11*m**3 + 96 + 62*m**4 + 27*m**4 + m**3 wrt m.
356*m**3
Suppose 12 = 5*c - f - 2, 16 = -4*f. Differentiate 6*d**3 + 6 - 14 - c*d**3 with respect to d.
12*d**2
Let u = 11 - 25. Let h = u - -16. Differentiate -2 - t**2 - 4*t**h - 4 with respect to t.
-10*t
Let q(c) be the second derivative of 3*c**5/10 - 4*c**3/3 + 175*c**2/2 - c - 80. What is the derivative of q(f) wrt f?
18*f**2 - 8
Let d(x) be the third derivative of -13*x**8/168 - x**7/35 - x**4/2 - 5*x**3/6 - 6*x**2 + 2*x. Find the second derivative of d(s) wrt s.
-520*s**3 - 72*s**2
Let o(r) = r**2 - 11. Let k be o(0). Let c(t) = -165*t - 2. Let w(j) = -33*j. Let s(i) = k*w(i) + 2*c(i). Find the first derivative of s(x) wrt x.
33
Find the third derivative of 10*v**2 - 73*v**2 + 12*v**4 + 15*v**4 wrt v.
648*v
Let x = 71 - 67. Find the third derivative of -3*y**4 - 10*y**2 + 3*y**x - 6*y**6 + 0*y**4 wrt y.
-720*y**3
Let c(d) = d**4 - 23*d**3 - 656*d**2 + 10. Let i(a) = -a**4 + a**3 - a**2 + 2. Let v(j) = c(j) - 5*i(j). Find the third derivative of v(s) wrt s.
144*s - 168
Let h(c) = 547*c - 525. Let t(r) = 547*r - 529. Let k(w) = -5*h(w) + 6*t(w). Differentiate k(m) wrt m.
547
Let s(c) = -91*c**3 - 477*c**2 - 9*c. Let u(f) = -23*f**3 - 119*f**2 - 2*f. Let g(w) = 2*s(w) - 9*u(w). What is the third derivative of g(d) wrt d?
150
Let b = 57 - 55. Suppose 2*g + z = 25, 3*g + z - 38 = -0*g. What is the first derivative of -8*j**2 + g*j**b - 6 - 4*j**2 wrt j?
2*j
Let d(r) = 132*r**4 + 5*r**2 - 5*r + 81. Let v(b) = -b**4 - b**2 + b + 1. Let u(f) = -d(f) - 5*v(f). Differentiate u(s) with respect to s.
-508*s**3
Suppose -4*z + 9 = n - 8, -5*n - z + 28 = 0. Let u = 13 + -11. What is the third derivative of 0*y**3 + 2*y**u + n*y**3 - 4*y**2 wrt y?
30
Let z(b) = 2*b**3 + b. Let g(c) = 72*c**3 + 6*c - 157. Let r(n) = g(n) - 5*z(n). Differentiate r(v) wrt v.
186*v**2 + 1
Let a(j) be the first derivative of -41*j**3 + 270*j - 153. What is the derivative of a(b) wrt b?
-246*b
What is the second derivative of 75*s**2 + 199*s + 2 + 34*s**2 - 265*s wrt s?
218
Let k(q) be the third derivative of 0*q + 0*q**4 + 4/105*q**7 + 0*q**6 - 3/20*q**5 - 3*q**2 + 0*q**3 + 0. Find the third derivative of k(h) wrt h.
192*h
What is the third derivative of 44*x**2 - 157*x**6 - 93*x**2 - 74*x + 72*x wrt x?
-18840*x**3
Let v be (-13)/(-11) + 2/(-11). Differentiate -3*y - v + 1 - 7 + 11*y with respect to y.
8
Let b(m) be the second derivative of 2*m**6/15 + 63*m**5/20 + 3*m**2 - 142*m - 2. Find the first derivative of b(w) wrt w.
16*w**3 + 189*w**2
Let h(q) = -q**2 + 1. Let l(c) = -6 - 44*c**2 + 317*c - 301*c + 7*c**2. Let o(w) = 6*h(w) + l(w). Find the second derivative of o(a) wrt a.
-86
Suppose 0 = 5*m - k + 6*k - 5, 0 = -3*m + 3*k + 15. Find the second derivative of 5*o**3 + o**3 - 3*o**m - 8*o + 3*o**3 wrt o.
36*o
Let m(n) be the third derivative of -79*n**6/120 + n**4/24 + 8*n**3/3 - 8*n**2 + n. What is the second derivative of m(s) wrt s?
-474*s
Let u(x) = -x**3 + 11*x**2 + 10*x + 26. Let j be u(12). What is the third derivative of 7*o**2 - 12*o**2 + 11*o**j + 30*o**2 + 31*o**3 wrt o?
186
Let w = -60 - -62. Let a be (-4)/3*(2 + -5). What is the second derivative of 2 - 3 - w*s + 1 - 3*s**a wrt s?
-36*s**2
Let g(l) = -5*l**2 - 3*l - 20. Let h(f) = -90*f**2 - 84*f**2 + 159*f**2 - f - 61 - 7*f. Let s(t) = 8*g(t) - 3*h(t). Differentiate s(a) with respect to a.
10*a
Suppose 2*u - 8 = -o, -3*u - 7 = -5*o - 32. Suppose -4*m + 11 = -u. What is the third derivative of -4*v**m - 7*v**5 + 4*v**4 + 14*v**5 - 3*v**2 wrt v?
420*v**2
Suppose -3*w - 5*d + 8*d = -24, 3*w + 2*d + 1 = 0. Differentiate -3 - 2*u**3 - 5*u**w - 2 wrt u.
-21*u**2
Let l(g) = -242*g**3 + 12*g**2 - 338*g - 4. Let r(b) = 241*b**3 - 9*b**2 + 337*b + 3. Let z(o) = -3*l(o) - 4*r(o). Find the second derivative of z(k) wrt k.
-1428*k
Let b(d) be the third derivative of -77*d**5/60 - 73*d**4/24 + 122*d**2. What is the second derivative of b(a) wrt a?
-154
Let l(u) = u**3 + 2*u**2 + u. Let h(a) = 80*a**3 + 6*a**2 - 65*a. Let x(g) = h(g) - 3*l(g). Find the second derivative of x(s) wrt s.
462*s
Find the second derivative of 10*g + 9*g - 171*g**4 + 9 - 10*g - 2 wrt g.
-2052*g**2
Let o = -121 + 124. Differentiate 30*j**2 - o*j + 10 + 15*j - 12*j wrt j.
60*j
Let b(h) be the third derivative of -h**9/5040 - h**6/48 + h**4 + 37*h**2. Let r(f) be the second derivative of b(f). Find the second derivative of r(g) wrt g.
-36*g**2
Let n(d) = -3*d - 1. Let x(w) = 92*w + 111. Let s(r) = 5*n(r) - x(r). Differentiate s(l) wrt l.
-107
What is the third derivative of 17376*a + 21*a**2 - 17376*a + 3*a**3 wrt a?
18
Suppose -5*p = -0*p - 55. Let h = -9 + p. What is the first derivative of 4*a + 4 - 3 + h - a wrt a?
3
What is the third derivative of d**5 + 72*d**2 - d**4 - 706*d + 701*d - 4*d**4 wrt d?
60*d**2 - 120*d
Let v(s) be the first derivative of 8 + 0*s**3 + 0*s + 0*s**4 - 8*s**2 + 16/5*s**5. Find the second derivative of v(k) wrt k.
192*k**2
Let x = 1 + -3. Let v be 3 + x + 0 - -4. What is the third derivative of -3*d**4 - 2*d**3 - v*d**2 + 2*d**3 + 4*d**2 wrt d?
-72*d
What is the second derivative of -6 - a**4 + 2*a - 13*a**4 + 14 + 2 wrt a?
-168*a**2
Let c(y) be the first derivative of -y**4/2 - 191*y**3/3 + 201*y**2 + 869. Find the second derivative of c(v) wrt v.
-12*v - 382
What is the second derivative of -129*s**5 - 23*s**5 - 9*s**5 + 152*s - 82*s**5 wrt s?
-4860*s**3
Suppose 24 = 16*v - 8*v. What is the second derivative of 151*m - 141*m + v*m**3 + 43*m**4 - 3*m**3 wrt m?
516*m**2
Let y(z) be the third derivative of 1/2*z**4 + 0 + 0*z - 8/3*z**3 - 5*z**2. Find the first derivative of y(o) wrt o.
12
Let u(y) be the third derivative of -13*y**7/105 + y**6/120 - 11*y**5/60 - 33*y**2 + 3*y. Find the third derivative of u(h) wrt h.
-624*h + 6
Find the second derivative of 27*y + 40*y + 17*y + 2*y**4 + 7*y**2 + 44*y wrt y.
24*y**2 + 14
Let n(a) = -a**3 + 6*a**2 + 9*a - 10. Let r = -2 + 9. Let u be n(r). What is the second derivative of 3*m + m**4 + 3*m**4 - 19*m**u + 8*m**4 wrt m?
-84*m**2
Differentiate 10*c**4 - 27*c**2 + 27*c**2 - 5*c**3 + 8*c**3 + 25 with respect to c.
40*c**3 + 9*c**2
Let l(i) = -2*i**2 + 284*i - 446. Let r(w) = -5*w**2 + 858*w - 1337. Let k(z) = -8*l(z) + 3*r(z). What is the derivative of k(c) wrt c?
2*c + 302
Let h(s) be the first derivative of s**4/4 + 74*s**3 - 344*s**2 - 453. What is the second derivative of h(x) wrt x?
6*x + 444
Suppose 0 = -2*g + 4*x, 0 = g + 2*g - 4*x - 4. Differentiate -24*o**g - 4 + 0 + o**4 wrt o.
-92*o**3
Suppose 3*w - 5 = 1. Differentiate -7*z**w + 7 + 4 + 4 - 3*z**2 wrt z.
-20*z
Suppose 0*f = 4*f - 12. Find the second derivative of f - 3 + 11*m + m**4 wrt m.
12*m**2
Let v(y) be the second derivative of 10/3*y**3 - 24*y - 1/2*y**6 + 0*y**5 + 0*y**2 + 0