f). Find the third derivative of 6*b**x - 3*b**2 - 4*b**2 - 7*b**5 wrt b.
-420*b**2
Let c(m) = -m - 6. Let p(b) = 15. Let h(d) = 2. Let o(z) = -18*h(z) + 2*p(z). Let w(g) = -6*c(g) + 5*o(g). Find the first derivative of w(j) wrt j.
6
Let l(i) be the second derivative of i**7/210 - i**4/2 - 5*i**3/2 - 17*i. Let p(q) be the second derivative of l(q). What is the first derivative of p(d) wrt d?
12*d**2
Let u(c) = -c - 1. Let f(n) = -7*n + 2. Suppose -6*z + z + 10 = 5*l, -2*l = z - 1. Let p(m) = l*f(m) - 4*u(m). What is the first derivative of p(r) wrt r?
11
Let p(h) be the first derivative of 289*h**5/5 - 9*h**3 + 7*h - 294. Find the third derivative of p(b) wrt b.
6936*b
Let o(v) be the third derivative of v**9/168 + v**5/30 - 4*v**3 - 22*v**2. Let m(b) be the first derivative of o(b). Find the second derivative of m(i) wrt i.
360*i**3
Differentiate -2*j**2 + 48*j**4 + 20 - 202 + 2*j**2 + j**2 - 155*j**4 with respect to j.
-428*j**3 + 2*j
Let q(c) be the first derivative of -46*c**5 - c**4/4 + 377*c**3/3 + 589. Find the third derivative of q(w) wrt w.
-5520*w - 6
Let y(j) be the first derivative of 2*j**5/15 + 17*j**4/12 + 2*j**2 - 22. Let t(c) be the second derivative of y(c). Find the second derivative of t(x) wrt x.
16
Suppose l + 7 + 16 = 5*k, 3*l - 2*k = -17. Let d be (l/(-4))/((-7)/(-56)). What is the third derivative of 0*j**3 + 0*j**3 - 3*j**d - 6*j**2 + 0*j**2 wrt j?
-360*j**3
Let y be (4/(-3))/((-4)/(-18)). Let m(i) = i**4 + 7. Let f(o) = -o**4 - 3. Let p(q) = y*m(q) - 13*f(q). Find the first derivative of p(z) wrt z.
28*z**3
Let b(s) be the second derivative of -71*s**5/20 - 43*s**2/2 + s - 29. Differentiate b(n) with respect to n.
-213*n**2
Let z(v) be the third derivative of 0*v**5 + 0 + 0*v**4 - 3/40*v**6 + 0*v - 24*v**2 - 13/6*v**3. What is the derivative of z(y) wrt y?
-27*y**2
Let i(c) be the first derivative of 11*c**6/120 + c**3/2 + 3*c**2/2 - 14. Let u(z) be the second derivative of i(z). What is the first derivative of u(a) wrt a?
33*a**2
Let j = -2293 + 2295. Let n(g) be the second derivative of 0*g**j - 4/3*g**3 - 1/5*g**5 + 0*g**4 - 2*g + 0. What is the second derivative of n(l) wrt l?
-24*l
Find the third derivative of -165*d**3 - 11*d + 94*d**3 - d - 160*d**3 - 6*d + 2*d**2 wrt d.
-1386
Let r be 2/(-3) - 70/(-15). Find the second derivative of 3*i + 6*i - 6*i**r - 2*i - 3*i wrt i.
-72*i**2
Suppose -5*m + s = -22, -4*m + 24 = -0*m - 4*s. Suppose m*k - 4 = 4. Find the third derivative of a**2 - a**4 + 6*a**4 - 8*a**2 + k*a**4 wrt a.
168*a
Suppose k = 53 - 4. Let p(b) = 49*b**2 + b - 1. Let w be p(1). Find the first derivative of k*g - w*g + 5 + 10*g**2 wrt g.
20*g
Let c = 25 - 23. Find the third derivative of p**2 + 0*p**2 + 0*p**2 + 9*p**4 + p**c wrt p.
216*p
Let c(b) be the second derivative of 107*b**3/6 + 15*b**2/2 - 8*b + 1. Find the first derivative of c(y) wrt y.
107
Let r = -4 + 7. Suppose 0 = 2*k - 5 - r. Find the first derivative of -10*u**4 + 0*u**k - 92*u**2 + 8 + 92*u**2 wrt u.
-40*u**3
Let g(x) be the first derivative of x**5/3 - 4*x**3/3 - 5*x**2 + 4. Let q(m) be the second derivative of g(m). Differentiate q(d) with respect to d.
40*d
Suppose -5*m - 89 = -4*p, p - 6 = -m - m. Differentiate 2*u**3 + 6*u**3 + 5 - p wrt u.
24*u**2
Let l(a) = -a**2 + a. Let f = 26 + -22. Let v(x) = -9*x**3 - 4*x**2 - 3*x. Let o(g) = f*l(g) - v(g). What is the second derivative of o(r) wrt r?
54*r
Let a(q) = -q**5 - 7*q**4 - 69*q. Let j(b) = -b**5 + 2*b**4 + b. Let r(o) = a(o) + 2*j(o). Find the second derivative of r(s) wrt s.
-60*s**3 - 36*s**2
Let k(d) = 61*d**3 - 21*d**2 - 47*d + 20. Let n(w) = 15*w**3 - 5*w**2 - 12*w + 5. Let b(x) = 2*k(x) - 9*n(x). Find the second derivative of b(g) wrt g.
-78*g + 6
Suppose 11 = 5*n - 14, 5*j + n - 15 = 0. What is the third derivative of -3*p**4 + p**3 - p**3 + 683*p**j - 658*p**2 wrt p?
-72*p
Find the third derivative of 26 - 149*x**4 + x**2 + 42 + 91 - 2*x**2 wrt x.
-3576*x
Let g(b) be the second derivative of -277*b**7/42 - 339*b**3/2 + 661*b. Find the second derivative of g(w) wrt w.
-5540*w**3
Suppose -4*b + 8*j = 3*j - 36, 5*j + 40 = 5*b. Find the third derivative of 8*c**b + 3*c**2 - 6*c**2 + 0*c**4 wrt c.
192*c
Suppose 30 = -5*q - 10. Let a be (-2)/q - 63/(-36). What is the derivative of 16*y**2 - 27*y**a - 7 + 11*y**2 - 6*y**3 wrt y?
-18*y**2
Let l(n) be the second derivative of 3*n**8/56 + 11*n**7/42 - 161*n**4/12 + 180*n. Find the third derivative of l(i) wrt i.
360*i**3 + 660*i**2
What is the third derivative of -33*z**3 - 47*z**4 - 2*z**5 + 33*z**3 - 1 + 19*z**2 - 48*z**4 wrt z?
-120*z**2 - 2280*z
Let m(l) = 24*l**2 - 3*l + 0 - 11 + 1. Let c(f) = -f**2 + f. Let j(d) = 3*c(d) + m(d). Differentiate j(w) wrt w.
42*w
Suppose -u + 166 = 4*u + t, -2*u + 56 = 3*t. Find the third derivative of -40*b**2 + 60*b**2 - u*b**6 - 32*b**2 wrt b.
-4080*b**3
Let a(s) = 107*s**3 + 2*s - 72. Let b(i) = -108*i**3 - 3*i + 71. Let c(n) = -3*a(n) - 2*b(n). Differentiate c(f) wrt f.
-315*f**2
Let v(p) be the first derivative of 0*p - 14*p**2 + 34/3*p**3 + 29. Find the second derivative of v(k) wrt k.
68
What is the first derivative of 77*j**2 + 2*j**3 + 115 - 25*j**2 + 39*j**2 wrt j?
6*j**2 + 182*j
Let k(v) be the second derivative of 11/2*v**2 - 16/3*v**3 + 0 - 9*v. Find the first derivative of k(d) wrt d.
-32
Find the second derivative of -482*b + 503*b**5 + 808*b - 115*b**5 wrt b.
7760*b**3
Suppose -30 = -5*w - 0*w. Let u(c) = -c + 1. Let y(i) = 7*i**3 - 3*i**2 + 5*i + 6. Let r(z) = w*u(z) - y(z). Find the second derivative of r(p) wrt p.
-42*p + 6
What is the third derivative of -218*x**6 - 27*x**6 - 26*x**2 + 25*x**2 + 14*x**2 wrt x?
-29400*x**3
Let b(p) be the first derivative of p**7/70 - 13*p**3/6 + p**2/2 + 3. Let a(f) be the second derivative of b(f). What is the first derivative of a(c) wrt c?
12*c**3
Let y(a) = 695*a**5 - 8*a**3 + 67*a**2 - 12*a + 4. Let v(c) = -2*c**3 - 3*c + 1. Let q(o) = 4*v(o) - y(o). Find the third derivative of q(w) wrt w.
-41700*w**2
What is the second derivative of 195*s**3 + 18*s - 385*s**3 + 197*s**3 + 5*s**4 + 25*s - 3 wrt s?
60*s**2 + 42*s
Let g(y) be the first derivative of y**8/240 + y**5/15 + 10*y**3/3 + 6. Let t(c) be the third derivative of g(c). Find the second derivative of t(b) wrt b.
84*b**2
Suppose -55 = -3*y - 2*a, 3*y + 0*a = 2*a + 47. What is the second derivative of -21*h - y*h**2 + 1 - 1 wrt h?
-34
Let y(h) = -99*h**5 + 2*h**4 - 2*h**2 - 724*h. Let x(r) = r**4 - r**2 + 2*r. Let u(s) = -2*x(s) + y(s). What is the second derivative of u(l) wrt l?
-1980*l**3
Let n(r) = 172*r**2 - 9*r - 124. Let o(s) = -515*s**2 + 26*s + 374. Let z(u) = -17*n(u) - 6*o(u). What is the second derivative of z(v) wrt v?
332
Find the second derivative of 102*z + 34*z**2 + 20*z**2 - 33*z wrt z.
108
Let f(h) = -h**3 + 4*h**2 - 2*h + 2. Let v be f(3). Suppose v*w - 332 = 2*n - n, 0 = w + 2*n - 62. Find the first derivative of 71 - l**4 - 2*l**4 - w wrt l.
-12*l**3
Let a(y) be the second derivative of 7/3*y**3 + 0*y**4 + 0 - 1/21*y**7 + 0*y**6 + 0*y**5 + 0*y**2 - 2*y. Find the second derivative of a(v) wrt v.
-40*v**3
Let x(w) be the second derivative of 0*w**4 + 0 + 1/14*w**7 + 0*w**6 + 0*w**5 + 0*w**2 + 5/2*w**3 - 7*w. What is the second derivative of x(s) wrt s?
60*s**3
Let o = -7 - -11. What is the third derivative of 3*i**2 - 5*i**4 + 3*i**2 - 3*i**o wrt i?
-192*i
Let k(q) = 60*q**4 + 4*q**3 - 28*q**2 + 2*q + 4. Let a(n) = 2*n**3 - 2*n**2 + n + 2. Let x(d) = -12*a(d) + 6*k(d). Find the third derivative of x(z) wrt z.
8640*z
Let c(z) = 2*z - 5. Suppose 0 = -4*g + 10 + 6. Let o be c(g). Find the second derivative of 4*d**o - 4*d**3 - 8*d**5 + d wrt d.
-160*d**3
Let d be 8/(-54)*-9 - (-10)/6. Let m(i) be the first derivative of 0*i + i**d - 6 + 0*i**2 + 3/2*i**4. Find the third derivative of m(y) wrt y.
36
Suppose 2*i = 8*i - 186. What is the third derivative of i*c**5 + 39*c**2 - 58*c**5 + 63*c**5 wrt c?
2160*c**2
Let m = -11 + 10. Let j be 3 + (3 + m - 1). What is the third derivative of b**2 + j*b**4 + 5*b**4 + 0*b**4 wrt b?
216*b
Let w(r) be the second derivative of -73*r**7/21 - 5*r**3/2 - r**2/2 - 29*r - 2. Find the second derivative of w(s) wrt s.
-2920*s**3
Find the third derivative of 575*j**3 - 157*j**2 + 21*j**4 - 1152*j**3 + 576*j**3 wrt j.
504*j - 6
Let m