 5. Let a(k) = k**2 - 1. Let j(z) = 2*a(z) + v(z). Let g(o) be the first derivative of j(o). Give b(g(x)).
-12*x**2
Suppose -77 = -4*o - 5*a, 5*a + 27 = o + 3*o. Let i(n) = -o + 3*n + 13 + n. Let j(g) = 3*g**2. What is i(j(z))?
12*z**2
Let h(j) = -j**2. Suppose 0 + 3 = 2*z - 3*a, a + 1 = 0. Suppose -3*v = 2*t - 22, 2*v - 4*t - 3 - 1 = z. Let l(d) = d**2 + v*d - 6*d. Determine h(l(i)).
-i**4
Let t be (3 - -1) + (1 - 3). Let b(a) = a**2 + 3*a**2 + 5*a**t - 8*a**2. Let j(p) = 5*p. What is b(j(v))?
25*v**2
Let q(d) = 8*d**2. Let f(a) = 9*a. Calculate f(q(m)).
72*m**2
Let z(n) = 12*n. Let m(i) be the first derivative of i**3/3 - 17. Determine m(z(a)).
144*a**2
Let t(d) = 1 - 5*d + 0 + 4 + 4*d**2. Let k(q) = -4*q**2 + 4*q - 4. Let r(f) = -5*k(f) - 4*t(f). Let g(a) = 3*a. Give r(g(h)).
36*h**2
Let y(p) = -2 + 8*p - 5*p + 2. Suppose -2*s + 0*s - 2 = -3*o, 10 = 5*s. Let m(u) = -o*u + 1 - 1. Calculate m(y(d)).
-6*d
Let a(h) = -79*h. Let n(q) = -20*q. Let c(y) = -2*a(y) + 9*n(y). Let o(w) = 15*w. Let z(t) = -5*c(t) - 7*o(t). Let u(s) = s**2. Give u(z(l)).
25*l**2
Let q(l) be the third derivative of 5*l**4/24 + 2*l**2. Let y(b) = -3*b + 1. Let c(z) = z - 1. Let s(d) = -c(d) - y(d). Determine q(s(w)).
10*w
Let d(x) be the first derivative of -3*x**2/2 + 68. Let b(l) be the third derivative of -l**4/6 + l**2. Calculate b(d(z)).
12*z
Let d(p) be the third derivative of -p**7/5040 - p**5/30 + 3*p**2. Let t(m) be the third derivative of d(m). Let w(g) = 4*g. Calculate w(t(s)).
-4*s
Let h(b) be the third derivative of -1/60*b**5 + 0*b**3 + 0*b**4 - 2*b**2 + 0*b + 0. Let k(n) = -n - n + 0*n. What is h(k(m))?
-4*m**2
Let b = -33 - -36. Let v(k) be the second derivative of 1/3*k**4 + 0*k**b + k + 0 + 0*k**2. Let c(j) = 2*j. What is v(c(x))?
16*x**2
Let w(a) = a. Suppose 3*r - 24 = -3. Let t = r + -5. Let h(z) = 2*z**2 - 3*z**t + 2*z**2. What is w(h(n))?
n**2
Let l(s) = 2*s - 778. Let k(i) = -3*i. Give k(l(v)).
-6*v + 2334
Let b(y) = -2*y**2. Let k(w) = w**2 - 3*w**2 + 0*w**2. Give b(k(q)).
-8*q**4
Let v(y) = -3*y. Let w be 1*(2/(-1))/(-1). Let m(n) = 0*n**w + 5*n**2 - 5*n**2 - n**2. Determine m(v(x)).
-9*x**2
Let m(o) = 22*o**2 - 7*o. Let x(r) = 7*r**2 - 2*r. Let k(j) = 2*m(j) - 7*x(j). Let a(i) = 2*i. Give a(k(p)).
-10*p**2
Let g(v) = -315*v**2. Let o(d) = 2*d**2. Calculate g(o(u)).
-1260*u**4
Let g(k) be the second derivative of k**4/12 - 3*k. Let q(j) = 2*j. Give g(q(i)).
4*i**2
Let n(w) = -775*w**2. Let b(d) = -2*d**2. Calculate n(b(m)).
-3100*m**4
Let x(u) = 5*u**2. Let k = 9 + -7. Let m(r) = -5*r + 2*r + k*r + 2*r. Calculate m(x(n)).
5*n**2
Let v(f) = -7*f**2 + 6*f - 6. Let k(d) = -6*d**2 + 5*d - 5. Let c(g) = g. Let h be c(-5). Let r(q) = h*v(q) + 6*k(q). Let w(o) = 6*o**2. Determine w(r(u)).
6*u**4
Let c(m) = 3*m + 3. Let i(t) = t**2 + 5*t + 5. Suppose 2*n - 15 = 5. Let x(b) = n*c(b) - 6*i(b). Let g(j) = -j**2. What is x(g(l))?
-6*l**4
Let w(c) = 9*c. Let m(i) = 123*i**2. What is m(w(j))?
9963*j**2
Let k(m) = 3*m. Let w(q) = q - 1. Let a(r) = 3*r**2 + 18*r - 18. Let z = -9 + 8. Let p be (0 - -1)/(1/z). Let v(n) = p*a(n) + 18*w(n). Determine k(v(b)).
-9*b**2
Let n(r) be the third derivative of 5*r**4/24 + 28*r**2. Let d(l) = 6*l. Give n(d(i)).
30*i
Let k(f) be the third derivative of 5*f**4/12 + 9*f**2. Let p(q) = -q**2. Calculate p(k(r)).
-100*r**2
Let l(b) = 8*b - 28. Let t(y) = -y + 1. Let z(f) = 2*l(f) + 56*t(f). Let d(q) = -3*q**2. Calculate z(d(i)).
120*i**2
Let i(w) be the second derivative of w**3/6 - 2*w. Let h(n) be the first derivative of 1 + n**3 - 3*n**3 + 3. What is i(h(k))?
-6*k**2
Let q(f) = -29*f**2. Let b(y) be the second derivative of y**3/6 - 34*y. What is q(b(l))?
-29*l**2
Let d(j) = -3*j**2 + 3*j + 5*j**2 - 3*j. Let l(v) = 12*v**2. What is d(l(g))?
288*g**4
Let o(j) = -2*j. Let d(l) be the second derivative of 0*l**2 - 1/3*l**4 - 2*l + 0 + 0*l**3. Give o(d(f)).
8*f**2
Let p(c) = -5*c + 4*c + 0 + 0. Suppose 2*g - 3*g = -5*v - 15, 9 = -3*v. Let m(b) = b + b + g*b. Calculate m(p(l)).
-2*l
Let r(c) = -3*c. Let w(p) = 18*p**2 + 16. Let h(j) = 6*j**2 + 5. Let a(b) = 16*h(b) - 5*w(b). Determine a(r(f)).
54*f**2
Let w(n) be the third derivative of -n**4/12 + 13*n**2. Let z(x) = -9*x. Give w(z(t)).
18*t
Let s(o) be the third derivative of -o**5/30 + 11*o**2. Let p(c) = -10*c**2. What is s(p(r))?
-200*r**4
Let v(c) = 3*c**2. Let p(w) = 3*w**2. Let j(d) = 3*p(d) - 2*v(d). Let q(g) = g. What is q(j(u))?
3*u**2
Let b be 0/(2 - (-3)/(-3)). Let f(w) be the first derivative of 1/3*w**3 + b*w - 2 + 0*w**2. Let z(a) = 2*a**2. Determine f(z(c)).
4*c**4
Let c(f) be the third derivative of f**4/6 + f**2. Let x(i) be the second derivative of -i**4/12 + i. Calculate c(x(y)).
-4*y**2
Let k(a) = a**2. Let b(h) be the second derivative of 5*h**4/24 + h**2/2 - 5*h. Let y(o) be the first derivative of b(o). Determine k(y(u)).
25*u**2
Let q(t) = 3*t + 5. Suppose 0 = 5*z - 3*y + 41, -2*z + y + 12 = -4*z. Let x(c) = 4*c + 7. Let l(r) = z*q(r) + 5*x(r). Let h(w) = -8*w. Determine l(h(v)).
8*v
Let c(l) = -6*l. Let n(v) = -22*v**2 - 1. What is n(c(y))?
-792*y**2 - 1
Let f(n) be the first derivative of n**2 + 3. Let c(a) = 6 - 6 - 3*a**2. Determine c(f(j)).
-12*j**2
Suppose 5*c + 5 = -4*x, -5*c = x + 4*x + 5. Let d(n) = x - n + 0 + 3*n. Let q(i) = i - 3*i**2 - i. Give q(d(v)).
-12*v**2
Let q(i) = -3*i**2. Let w(g) = -19*g - 2. Determine q(w(f)).
-1083*f**2 - 228*f - 12
Suppose -2*b + 8 - 2 = 0. Let a(w) = 4*w - b*w + w. Let d(i) = -2*i. What is a(d(v))?
-4*v
Let k(m) = 49*m + 19. Let v(f) = 2*f**2. Calculate v(k(j)).
4802*j**2 + 3724*j + 722
Let r(w) be the first derivative of -2*w**3/3 + 1. Let a(c) = -1. Let s(y) = 2*y + 2. Let g(m) = -2*a(m) - s(m). Give g(r(k)).
4*k**2
Let i(n) = -2*n**2. Let y(p) = p**2 + 264*p. Calculate y(i(b)).
4*b**4 - 528*b**2
Let v(z) = -3*z. Suppose 7 = 4*b - 5. Let c(w) = -3*w + b*w - 3*w**2 + 2*w**2. Determine c(v(l)).
-9*l**2
Let o(u) = 2*u**2. Let h = -44 + 48. Let k(m) be the second derivative of 0*m**3 + 0 + 0*m**2 - 2*m + 5/12*m**h. Calculate o(k(w)).
50*w**4
Let c(n) = -2*n**2 + 3*n + 3. Let d(z) = -3*z**2 + 4*z + 4. Let m(a) = 4*c(a) - 3*d(a). Let i(k) = k + k + k - 5*k. Calculate i(m(t)).
-2*t**2
Let l(d) = -3*d. Let w be 2/(-10) - 92/(-10). Let v(h) = 9*h - w*h - 2*h**2. Give v(l(g)).
-18*g**2
Let t(r) = -2*r**2. Let m(d) = -d - 754. What is m(t(b))?
2*b**2 - 754
Let a(w) = 7*w**2. Let j(f) be the third derivative of f**4/12 + 14*f**2. Determine a(j(g)).
28*g**2
Let d(x) = 2*x**2. Let n(c) = 11*c**2 + c**2 + 7 + c**3 - 4*c**2 - 9*c. Let r be n(-9). Let w(s) = r*s**2 + s - s - s**2. Give w(d(p)).
24*p**4
Let s(v) be the third derivative of 0*v + 0*v**3 + 1/24*v**4 + 0 - v**2. Let b(z) be the second derivative of -z**4/6 - 4*z. Calculate s(b(x)).
-2*x**2
Let x(l) be the second derivative of l**3/3 + 3*l. Let k(p) be the second derivative of 5*p**4/6 + p. Calculate k(x(w)).
40*w**2
Let q(t) = -2*t. Suppose 90 = 4*d + d. Suppose 5*s = 7 + d. Let x(l) = -3*l - l + s*l. What is q(x(h))?
-2*h
Let q(f) = -7*f. Let l(r) = -74*r**2. Give l(q(o)).
-3626*o**2
Let b(f) = f. Let d(i) = -17*i + 5. Let n(w) = 35*w - 9. Let y(x) = 11*d(x) + 6*n(x). Calculate y(b(h)).
23*h + 1
Let o(s) = 2*s**2. Let f(k) = -3*k + 26. Determine f(o(t)).
-6*t**2 + 26
Let m(u) = -u**2. Let l(j) be the third derivative of -j**5/20 - 10*j**2. Determine l(m(h)).
-3*h**4
Let t(j) be the first derivative of -j**3/3 - 3. Let g(u) = -u**2 - 6*u - 5. Let o be g(-4). Let d(v) = 0*v**2 + 5*v**2 - o*v**2. Give t(d(p)).
-4*p**4
Let w(n) be the second derivative of -n**3/2 - 16*n. Let k(x) = 4*x. Give w(k(g)).
-12*g
Suppose 0 = -2*k + 14 - 2. Let y(f) = -f**2. Let u(l) = -l**2. Let t(r) = k*u(r) - 5*y(r). Let a(q) = 3*q. Calculate t(a(d)).
-9*d**2
Let r(m) = -2*m. Let w(b) = 3 - 4 + 0 + 2. Let o(j) = -2*j**2 + 6. Suppose -h - 2*h = 18. Let c(t) = h*w(t) + o(t). What is r(c(q))?
4*q**2
Let m(t) = t**2 + 2*t - 2. Let n be m(1). Let y(q) = -q - 1. Let b(j) = 11*j + 22. Let g(s) = n*b(s) + 22*y(s). Let f(v) = v**2. What is f(g(a))?
121*a**2
Let f(g) = 4*g**2 - 15*g. Let h(y) = 0*y**2 - 4894 - 2*y**2 + 4894. Give f(h(v)).
16*v**4 + 30*v**2
Let z(q) be the second derivative of 0*q**2 + 0*q**3 - 1/6*q**4 - 9*q + 0. Let a(k) = 11*k. What is a(z(j))?
-22*j**2
Suppose -15*h + 4*h = -22