a)).
a**2
Let z(h) = 2*h. Suppose 4*m - 4 = -2*j + 2*m, 2*j + m - 2 = 0. Let q(w) be the second derivative of -1/6*w**3 - 3*w + 0 + j*w**2. Calculate q(z(t)).
-2*t
Let u(c) = -2*c - 4. Let l(h) = -7*h - 17. Let t(y) = -6*l(y) + 26*u(y). Let n(i) = i**2. Determine n(t(z)).
100*z**2 + 40*z + 4
Let n(d) = 11*d**2. Let q(h) = 50*h**2. What is q(n(g))?
6050*g**4
Let l(u) = 2*u. Let f(r) be the first derivative of -r**3/3 - r + 1. Let p = 13 + -19. Let j(b) = -4*b**2 - 3. Let m(d) = p*f(d) + 2*j(d). Give m(l(w)).
-8*w**2
Let f(p) be the third derivative of 2*p**2 + 1/12*p**4 + 0*p**3 + 0 + 0*p. Let j(y) = -2*y + 1 - 1. Determine j(f(t)).
-4*t
Let q(g) = 860*g. Let t(n) = n. Calculate t(q(z)).
860*z
Let k(h) = 5*h. Let x(i) = i**2 - 5. Calculate k(x(b)).
5*b**2 - 25
Let t(w) = 3*w**2. Let f(i) = -10*i**2 + 6*i. What is f(t(u))?
-90*u**4 + 18*u**2
Let u(n) = 2*n + 3*n**2 - 7*n - 2*n + 9*n. Let d(i) = -21*i**2 - 15*i. Let r(x) = 6*d(x) + 45*u(x). Let j(m) = -m. Determine r(j(y)).
9*y**2
Let a(b) = -2*b**2. Let k(p) be the first derivative of 3*p**2/2 + 13. Calculate k(a(m)).
-6*m**2
Let c(a) be the first derivative of 19*a**2 + 14. Let l(i) = i**2. Calculate l(c(p)).
1444*p**2
Let t(l) = 348*l. Let w(y) = -y. Give w(t(j)).
-348*j
Let v(z) = -2*z + 18. Let j(b) = b. Give v(j(q)).
-2*q + 18
Let f(t) = -7*t**2. Let j(c) = -8*c**2. Let a(n) = 7*f(n) - 6*j(n). Suppose h - 12 = -2*x, -5*h - x + 25 = 2*x. Let u(p) = -h*p + 6*p - 3*p. Give a(u(d)).
-d**2
Let j(w) be the second derivative of -w**3/3 - 42*w. Let x(q) = 94*q. Give x(j(a)).
-188*a
Let p(i) = -384*i. Let s(o) = -o. Calculate p(s(w)).
384*w
Let g(i) = 8*i**2 - 25 + 25. Let k(c) = -c**2. What is k(g(n))?
-64*n**4
Let m(p) be the second derivative of p**4/6 - 2*p. Let a(v) be the third derivative of -v**5/20 - 2*v**2. What is a(m(f))?
-12*f**4
Let g(f) = f**2 - 5*f + 5. Let h(c) = -1 + 8 - 3 + 3*c**2 + 8 - 12*c. Let x(o) = -12*g(o) + 5*h(o). Let v(n) = n**2. Determine x(v(b)).
3*b**4
Let j(z) = -3*z**2. Let q(o) = -75 + 2*o + 75. Determine j(q(h)).
-12*h**2
Let u(s) = 3*s**2. Let w(p) = -268*p + 1. Calculate w(u(c)).
-804*c**2 + 1
Let c(p) = 8*p**2. Let u(f) = -19*f**2 - 4*f + 4*f + 20*f**2. What is c(u(h))?
8*h**4
Let p(w) be the second derivative of w**3/6 + 38*w. Let r(c) = 11*c**2. What is p(r(t))?
11*t**2
Let b(s) = -s**2. Let i(w) = -7697*w. What is i(b(a))?
7697*a**2
Let g(p) = -3*p**2. Let h(m) = -3*m**2 - 4*m. Calculate h(g(y)).
-27*y**4 + 12*y**2
Let x(g) = 5*g**2. Let r(p) = -p**2 - 5 - 12 + 17. What is x(r(n))?
5*n**4
Let k(y) = 38*y**2. Let l(x) = 5*x. Calculate l(k(r)).
190*r**2
Let y = 319 + -209. Let s(k) = 60*k**2 + 55*k - 55. Let i(n) = n**2 + n - 1. Let m(j) = y*i(j) - 2*s(j). Let h(r) = r. Give h(m(z)).
-10*z**2
Let b(z) = 40*z**2. Let w(y) = -11*y. Calculate w(b(j)).
-440*j**2
Let f(a) = a. Suppose -2*y - 4 = -3*u, 8 = u + y - 5*y. Let b(i) be the second derivative of -1/6*i**3 - 3*i + 0*i**2 + u. What is b(f(h))?
-h
Let m(z) = -2*z. Let x(j) = 2*j**2 - 5*j - 4*j**2 + 5*j. Determine m(x(o)).
4*o**2
Suppose -a = -3*u + 1, 13 + 8 = 3*u + 3*a. Let d(z) = u*z - 4*z + 8*z. Let q(s) = -s. Give d(q(o)).
-6*o
Let c(m) = 2*m. Let r(q) = 274*q. Determine c(r(s)).
548*s
Let a(n) = 22*n**2 + 2. Let g(m) = 16*m. Give a(g(t)).
5632*t**2 + 2
Let m(t) be the third derivative of 0*t**4 - 1/30*t**5 + 0*t + 4*t**2 + 0 + 0*t**3. Let d(k) = -2*k**2. What is d(m(l))?
-8*l**4
Let d(b) = 2*b + 14. Let s(g) = -2*g - 12. Let c(t) = -6*d(t) - 7*s(t). Let w(v) = 20*v. Determine w(c(q)).
40*q
Let j(s) = 17*s**2 + 10*s. Let r(n) = n**2. Determine r(j(w)).
289*w**4 + 340*w**3 + 100*w**2
Let m(c) = 29*c**2. Let r(t) = -9*t. Determine r(m(g)).
-261*g**2
Let q(u) = -4*u**2. Let r(s) = -2. Let o(x) = x - 11. Let n(w) = -4*o(w) + 22*r(w). Determine n(q(f)).
16*f**2
Let y(f) = -2*f - 3*f**2 + 2*f. Suppose -2 = -h + 4. Let g(q) = 8 + 3*q - 2 - h. Give y(g(a)).
-27*a**2
Let h = 4 - -1. Suppose 4*j = 2*z + 2*z + 32, h*j = -2*z + 19. Let o(g) = j*g - 3*g - 2*g - g. Let m(v) = 3*v. Calculate m(o(p)).
-3*p
Let l(d) = -d + d - d**2 - 2*d**2. Let r(m) = m. Calculate l(r(b)).
-3*b**2
Let g(a) be the first derivative of a**6/90 - a**3 + 3. Let k(d) be the third derivative of g(d). Let q(r) = -r**2. Give q(k(m)).
-16*m**4
Let q(a) be the third derivative of a**5/30 - 2*a**2. Let r(j) = 1. Let y(c) = c**2 + 9. Let n(s) = 18*r(s) - 2*y(s). Calculate q(n(h)).
8*h**4
Let z(f) = f. Let t(m) = 25*m - 90. Give t(z(c)).
25*c - 90
Let l(u) = 4*u. Let m = 81 + -81. Let j(q) be the third derivative of m + 1/24*q**4 + 0*q + q**2 + 0*q**3. Calculate j(l(p)).
4*p
Let l(k) be the third derivative of 1/30*k**5 + 0 - 1/6*k**3 - k**2 + 0*k + 0*k**4. Let a(t) be the first derivative of l(t). Let g(b) = 2*b. What is g(a(x))?
8*x
Let z = 5 + -5. Let v(y) = -5*y + 4*y + z*y. Let b(j) = 2*j**2. Give b(v(d)).
2*d**2
Let k(y) = -9 + 9 - y**2. Suppose 3*x = 7*x - 8. Let a(t) = 4*t**2 + 3*t**x - 5*t**2. What is k(a(c))?
-4*c**4
Let i(j) = -2*j. Let u(l) = 2*l - 756. Calculate i(u(p)).
-4*p + 1512
Let m(z) = 2*z**2 + 78. Let y(i) = 3*i**2. Calculate y(m(n)).
12*n**4 + 936*n**2 + 18252
Let m(s) = -s**2. Let p(w) = 10*w + 1. What is p(m(t))?
-10*t**2 + 1
Let c(g) = -g. Let h(k) = -27*k. Let x(v) = -120*c(v) + 5*h(v). Let d(o) = o. Determine x(d(p)).
-15*p
Let s(m) = -3*m**2. Let l(z) be the second derivative of z**3/6 - 3*z. Calculate l(s(d)).
-3*d**2
Let p(r) = r**2. Suppose 2 - 14 = -3*h. Let n(q) = -2*q + h*q - q. What is n(p(v))?
v**2
Let h(b) be the second derivative of -b**3/6 - b. Let v(n) be the first derivative of -n**4/4 - 2*n + 2. Let k(p) be the first derivative of v(p). Give h(k(r)).
3*r**2
Let n(y) be the third derivative of 19*y**4/24 + 9*y**2 + 2. Let p(k) be the first derivative of k**2/2 - 2. Determine n(p(u)).
19*u
Let i(c) = 2*c. Let q(g) = g. Let t(b) = -12*b. Let w(y) = -5*q(y) - t(y). What is i(w(v))?
14*v
Let t(f) = f. Let c(v) = -3*v + 3*v - 2*v + 3*v. Calculate t(c(w)).
w
Let q = 4 + -9. Let s = q - -7. Let c(y) = y - y**s - y. Let k(h) = 3*h**2. Calculate c(k(u)).
-9*u**4
Let p(q) be the first derivative of 7 + 2*q**2 - 1 - q**2 + q**2. Let k(g) = 2*g + 3. Let r(f) = 4*f + 5. Let s(t) = 5*k(t) - 3*r(t). Calculate p(s(y)).
-8*y
Let h(p) be the second derivative of -p**4/6 + 3*p. Let d(s) = -s. Calculate h(d(a)).
-2*a**2
Let h(q) = 2*q. Let s(y) = 19*y - 19*y - 5*y**2. Calculate h(s(n)).
-10*n**2
Let w(r) = 4*r. Let a(m) = -11*m**2 + 1. Determine a(w(s)).
-176*s**2 + 1
Let i(v) = -2*v**2 + 214. Let w(k) = -2*k. Calculate w(i(g)).
4*g**2 - 428
Let m(c) be the second derivative of c + 0*c**3 + 1/6*c**4 + 0 + 0*c**2. Let f(k) = 2 - 2 + k**2. Calculate m(f(p)).
2*p**4
Let t(x) = -65*x**2. Let w(p) = -p**2. Determine w(t(u)).
-4225*u**4
Let u(a) = -a. Let d(g) be the second derivative of g**3/6 - 8*g. Give u(d(r)).
-r
Let q(b) = -2*b**2. Let s(t) be the third derivative of t**5/30 + 7*t**2. Calculate q(s(g)).
-8*g**4
Let f(x) = 5*x**2. Let k(q) = -54*q**2. Determine f(k(l)).
14580*l**4
Let u(w) be the second derivative of 0 - 4*w + 1/3*w**3 + 0*w**2. Let y(n) be the first derivative of n**2 + 1. What is y(u(q))?
4*q
Let x(n) be the first derivative of 5*n + 2*n + 0*n - 3*n**2 + n**2 - 2. Let c(f) = 2*f - 3. Let a(o) = -7*c(o) - 3*x(o). Let g(u) = 3*u**2. Give g(a(h)).
12*h**2
Let v(i) = -i**2 - 4*i**2 + 3*i**2. Let t be 5 + -1 + -1 + 1. Let l(p) = t*p + 2*p - 5*p. Calculate l(v(n)).
-2*n**2
Let x(y) = 7*y. Let k(n) = 17*n - 41*n - 42*n. Let m(s) = -5*k(s) - 48*x(s). Let p(z) = -z. Give p(m(b)).
6*b
Let x(h) = -13*h**2. Let i(b) be the third derivative of b**5/60 + b**4/24 + 4*b**2. Let q(l) = -7*l**2 - 6*l. Let p(s) = 6*i(s) + q(s). Determine x(p(o)).
-13*o**4
Let q(b) = 3. Let s(o) = o + 5. Let n(l) = -5*q(l) + 3*s(l). Let u(f) = -3*f. Give n(u(i)).
-9*i
Let p(l) = -203*l. Let m(t) = 7*t. What is m(p(b))?
-1421*b
Let o(l) = -l**2. Let a(w) = 1 - w - w + 3*w. Let z be (-5)/15 + 2/(-3). Let u(d) = d**2 - 4*d - 4. Let n(g) = z*u(g) - 4*a(g). Give n(o(i)).
-i**4
Let z(l) = 2*l + 2*l - 3*l + 0*l. Let v(p) = -2*p. Give z(v(f)).
-2*f
Let y(o) = o**2 - 3*o + 4. Let z be y(3). Let l(p) = -z*p**2 + 8*p**2 - 5*p**2. Let j(t) = 2*t. What is l(j(d))?
-4*d**2
Let g(a) be the second derivative of 7*a**3/6 + 13*a. Let s(l) = -5*l. Give g(s(m)).
-3