5. Determine f(z(k)).
-432*k**4 + 360*k**2 - 102
Let i(a) = -3*a. Let z(k) = -339*k. Calculate z(i(f)).
1017*f
Let s(k) = 478*k - 237*k - 243*k. Let o(r) = 2*r**2 - 4*r. Let p(y) = 3*y**2 - 7*y. Let m(b) = 7*o(b) - 4*p(b). Determine m(s(x)).
8*x**2
Let i(b) be the first derivative of -2*b**3/3 - 12. Let z(w) = -7*w**2. Determine z(i(x)).
-28*x**4
Let b(o) = -o - 1. Let u(c) = -c**2 - 6*c - 7. Let r(j) = -b(j) - u(j). Let y be r(-6). Let l(k) = -k + 0*k + 0*k + y*k. Let g(t) = -3*t. Give g(l(z)).
-3*z
Let l(x) = -4*x. Let b(v) = -v + 1. Let h(o) = -3*o + 2. Let m(r) = 2*b(r) - h(r). Calculate m(l(f)).
-4*f
Let c(h) be the second derivative of -h**4/3 - 5*h. Let u be 1/(-3) + (-14)/(-6). Let b(n) = 4*n**u - n**2 - n**2. What is b(c(a))?
32*a**4
Let a(q) = -6 + 2*q**2 + 16 - 10. Let j(x) = -25*x**2. What is a(j(k))?
1250*k**4
Let z(c) = 1. Let r(j) = -2*j + 3. Let u(d) = r(d) - 3*z(d). Let i(b) = 9*b**2. Give u(i(k)).
-18*k**2
Let a(h) = 1. Let l(y) = 3*y - 2. Let j(s) = 2*a(s) + l(s). Let w(t) be the first derivative of -3 + 1/2*t**2 + 0*t. Calculate j(w(k)).
3*k
Let y(j) = -8*j**2 - 3*j**2 + 3*j**2. Let b(r) = -r. Give b(y(v)).
8*v**2
Let t(s) be the second derivative of -s**4/6 - 3*s. Let r(o) = o. Give t(r(b)).
-2*b**2
Suppose l - 7 - 5 = 0. Let q(n) = -l + 2*n + 12 - n. Let a(x) = 5*x. What is q(a(b))?
5*b
Let b(v) = v. Suppose -f = -1 + 3. Let x = f + 2. Let o(u) = -2*u**2 - u**2 + x*u**2 + 4*u**2. Determine b(o(r)).
r**2
Let j(s) = -2*s + 19*s**2 - 2*s + 4*s. Let d(b) = b**2. Calculate j(d(t)).
19*t**4
Let b(t) = 2*t. Let s(l) = -2*l**2 + 2*l - 2. Let g(c) = 2*c**2 - 3*c + 3. Let n = 1 - 4. Let k(o) = n*s(o) - 2*g(o). What is k(b(z))?
8*z**2
Suppose 2*l + 3*p + 7 + 1 = 0, 0 = -4*l - p + 4. Let j(v) = -2 - 2*v**l + 2. Let a(y) = -2*y - y + 4*y. What is j(a(g))?
-2*g**2
Let l be (-4)/6*(-2 + -1). Let u(g) be the second derivative of 0*g**l + 0 + 2*g + 0*g**3 - 1/6*g**4. Let c(p) = -2*p. Give u(c(d)).
-8*d**2
Let k(f) = 3 - 3 + 3*f - f. Let y(o) = -3 + 3 + 2*o**2. Give y(k(x)).
8*x**2
Let v(c) = 0*c**2 + 4*c**2 + c**2. Let f = -11 - -22. Let l(q) = -q**2 + 4*q - f*q + 7*q. Give v(l(r)).
5*r**4
Let j(g) be the first derivative of -g**3/3 + 6. Let d(c) = 2*c**2. What is d(j(w))?
2*w**4
Let n(c) = -24*c. Let x(z) = -34*z. Give x(n(s)).
816*s
Let d(r) = -4*r**2. Let i(u) = 107*u**2. Calculate d(i(p)).
-45796*p**4
Let c(g) = 22*g. Let p(r) = -4*r. Calculate c(p(s)).
-88*s
Let r be (1 + 0)*(-12)/(-6). Let m(q) = -2*q**2 - q**2 + r*q**2 + 0*q**2. Let l(f) be the first derivative of f**2 - 1. Calculate l(m(p)).
-2*p**2
Let m(x) = 8*x. Let o(w) be the second derivative of w**3/6 - 3*w. Calculate o(m(g)).
8*g
Let k(s) = -27*s - 21*s + 48*s + 3*s**2. Let w(z) be the second derivative of z**4/6 - z. Determine w(k(y)).
18*y**4
Let d(j) = -94*j. Let r(c) = 166*c**2. Give r(d(s)).
1466776*s**2
Let d(m) = -m**2. Let g = 7 - 5. Let z(j) = 3*j**g - 2*j**2 - 6*j**2 + 0*j**2. Give z(d(t)).
-5*t**4
Suppose -12 = -3*g - 3. Let n(l) = 6*l**2 + 0*l**2 - g*l**2 + l**2. Let o(f) = -3*f**2. Calculate o(n(m)).
-48*m**4
Let w(n) = -129*n**2. Let f(z) = 2*z**2. Determine w(f(q)).
-516*q**4
Let m(r) = 7*r**2 + r. Let l(p) = -3*p. Calculate m(l(w)).
63*w**2 - 3*w
Let o(z) = 64*z**2. Let h(d) = 11*d. What is o(h(m))?
7744*m**2
Let j(g) = -34*g**2. Let r(s) = -s - 2. What is r(j(n))?
34*n**2 - 2
Let g(y) = y + 8. Let u be g(-6). Suppose 2*o + u*o - 52 = 0. Let n(i) = 2*i**2 + o - 13. Let x(a) = -4*a. What is n(x(b))?
32*b**2
Let b(c) = c. Let m(j) = j. Let s(i) = -2*b(i) + 3*m(i). Let l(h) = -11*h. Determine s(l(q)).
-11*q
Let p(g) = 6*g. Let k(h) = 84*h - 168*h + 85*h. Determine k(p(m)).
6*m
Let p(o) = -2*o. Let v(x) = 0*x - 7*x - 12*x + 4*x. Calculate p(v(z)).
30*z
Let h(g) = 7 - 5 - 2 - g. Let f(c) = 10*c**2. What is h(f(q))?
-10*q**2
Let i(a) = -2*a. Let h(f) = 2*f. Let u(p) be the first derivative of p**2/2 - 1. Let z(n) = 3*h(n) - 5*u(n). Determine i(z(g)).
-2*g
Let y = 5 + -3. Suppose -2*d = v - 8, 0 = 4*d - 3*v + 6*v - 20. Let t(f) = 3*f**2 - 5*f**d + 4*f**y. Let k(p) = -6*p. Calculate t(k(a)).
72*a**2
Let y(c) = 2*c**2. Let t(s) be the second derivative of 1/24*s**4 - 3/2*s**2 + 0*s**3 + 0 + 3*s. Let d(r) be the first derivative of t(r). What is d(y(v))?
2*v**2
Let q(m) = 3*m**2. Let t(z) = -119*z**2 + 57*z**2 + 51*z**2. Give t(q(c)).
-99*c**4
Let u(h) = -5*h + 14*h - 14*h. Let n(f) = -11*f. Give n(u(g)).
55*g
Let o(n) = n - 23. Let q(d) = 4*d**2. Determine q(o(u)).
4*u**2 - 184*u + 2116
Let z(v) be the third derivative of 0*v**3 + 0*v + 0 + 7*v**2 + 1/12*v**4. Let g(c) = -4*c**2 + 3*c**2 + 2*c**2. What is z(g(x))?
2*x**2
Let d = -2 + 4. Let a(r) = -3*r**2 + 1 - 1 + r**d. Let p(q) = 2*q**2. Give p(a(y)).
8*y**4
Let y(g) = -74*g - 2*g**2 + 74*g + g**2. Let k(f) = 6*f. What is y(k(j))?
-36*j**2
Let k(n) = -2*n**2. Let c(g) = -3*g**2. Let w(d) = 3*c(d) - 4*k(d). Let h(t) = -9*t**2. Determine h(w(q)).
-9*q**4
Let d(m) = 0*m - 3*m + 4*m. Let q(j) = -3*j. Determine d(q(k)).
-3*k
Let n(y) = -2*y**2. Let c(i) = -19*i**2 + 7*i. Let z(v) = -10*v**2 + 4*v. Let k(d) = -4*c(d) + 7*z(d). Give n(k(t)).
-72*t**4
Let v(t) = -18*t**2. Let j(b) = 21*b**2. Calculate j(v(p)).
6804*p**4
Let c(z) = -29*z. Let q(w) = -14*w**2. Calculate q(c(v)).
-11774*v**2
Let o(l) be the first derivative of -l**2 + 31. Let z(p) = 3 + 3*p**2 - 3. Determine o(z(d)).
-6*d**2
Let n(v) = 2. Let d(a) = a**2 - 1. Suppose y + 10 = -4*y. Let r(t) = y*d(t) - n(t). Let l(w) = -w**2 + 0*w**2 - 3*w + 3*w. Calculate l(r(m)).
-4*m**4
Let d(k) = 2*k**2. Let c(w) = 5431*w. Give d(c(x)).
58991522*x**2
Let t(n) = -2*n**2. Let v(p) = 4*p**2 - p - 8*p**2 + p**2 + 3*p. Let s(o) = -9*o**2 + 7*o. Let z(h) = 2*s(h) - 7*v(h). What is t(z(w))?
-18*w**4
Let y(t) = 7*t + 2 - 3 - 9*t**2 + 8*t**2. Let x be y(3). Let k(c) = x - 11 + 2*c**2. Let s(f) = 2*f. What is k(s(j))?
8*j**2
Let z(y) = 5*y**2 - 4*y**2 + y**2. Let f(r) = -3*r - 1. Let i be f(-1). Let q(b) = b**2 + 0*b**2 - i*b**2. Give q(z(k)).
-4*k**4
Let c(s) = -17*s + 2. Let r(b) = 91*b**2. Calculate c(r(t)).
-1547*t**2 + 2
Let k(h) = 5*h + 2. Let z(w) = 25*w + 11. Suppose -2*s = x - 5*s + 10, 5*x = 2*s + 2. Let p(d) = x*z(d) - 11*k(d). Let a(n) = 2*n**2. Determine p(a(t)).
-10*t**2
Let k(x) = 5*x**2 - 3*x**2 - x**2. Let n = 19 + -11. Let p(f) = -21*f**2 + n*f**2 + 9*f**2. What is k(p(y))?
16*y**4
Let m(x) = -4*x + 5. Let v(u) = -6*u + 8. Let d(i) = -8*m(i) + 5*v(i). Let q be ((-8)/(-12))/(2/6). Let n(l) = 2*l**2 + 4 + 2*l**q - 4. Calculate d(n(o)).
8*o**2
Let i(q) = q**2 + 792*q. Let l(c) = -c. Give l(i(s)).
-s**2 - 792*s
Let n(k) = 16*k. Let r(y) = 20*y**2. Give r(n(q)).
5120*q**2
Let x(o) be the second derivative of -o**4/4 + o. Let k = -7 + 9. Let z(d) = -d**2 + 1. Let h(f) = -1. Let b(l) = k*h(l) + 2*z(l). Calculate x(b(r)).
-12*r**4
Let d(w) = -4*w**2. Let s(g) be the second derivative of 0 + 0*g**2 - 5*g + 2/3*g**3. Calculate d(s(c)).
-64*c**2
Let g = 66 - 34. Let x(i) = g - 32 + 3*i. Let t(j) = -2*j + 2*j + 2*j**2. Determine t(x(m)).
18*m**2
Let y(r) = 2*r. Let f(i) = 4 - 4 + 5*i. Let a(g) = -11*g. Let b(q) = -2*a(q) - 5*f(q). Calculate b(y(h)).
-6*h
Let j(x) = 6*x. Let l(r) = 3*r. Let k(u) = -3*u - 2. Let b(d) = 10*d + 7. Let s(i) = -6*b(i) - 21*k(i). Let o(a) = 5*l(a) - 4*s(a). What is j(o(q))?
18*q
Let t(z) = z**2. Let w be (4/(-10) - (-12)/30)*-1. Let p(d) be the third derivative of 0 - 1/24*d**4 + w*d + 0*d**3 - 2*d**2. Calculate t(p(v)).
v**2
Let z(k) = -7*k. Let m(o) = -2*o + o - 3*o. What is z(m(i))?
28*i
Let b(q) = 3*q. Suppose 5*x = 10 - 0. Let j(n) = 10 - 4*n**x - 10 + n**2. Determine b(j(a)).
-9*a**2
Let u(i) = i. Let m(v) = 10*v + 1. Let z be m(1). Suppose 2*g = n - 2*g + z, -g + 19 = 3*n. Let q(p) = 10*p - n*p + 2*p. Determine u(q(r)).
7*r
Let p(i) = -i**3 - 6*i**2 - 3*i - 10. Let c be p(-7). Let w(f) = -60 + c + f**2. Let k(j) = 2*j**2 - j**2 - 3*j**2. Give w(k(b)).
4*b**4
Let t(r) be the third derivative of -1/24*r**4 + 0*r + 3*r**2 + 0*r**3 + 0. Let d(s) = -s. Determine d(t(b)).
b
Let u(o) be the second derivative of -o**4/4 + 5*o. Let l(z) be the third derivative of -2*z**2 + 0 + 0*z + 0*z**3 + 1/24*z**4. Calculate l(u(i)).
-3*i**2
Let s(q) = -2*q**2. Let z(l) be the first derivative of -10*l**3/3 - 3. Calculate s(z(a)).
-200*a**4
Let r(b) = -b**2. 