- 5. Let a(y) = y + 1. Let b(k) = -5*a(k) - c(k). Let p(n) = -2*n**2. Determine p(b(v)).
-50*v**4
Let n(z) = -7*z + 8. Let a(b) = 2*b - 3. Let x(f) = -8*a(f) - 3*n(f). Let r(w) = -w**2. Determine x(r(j)).
-5*j**2
Let s(n) = -26*n - 28*n + 6*n. Let o(c) = -3*c. Calculate o(s(y)).
144*y
Let t(f) = -11130*f**2. Let n(i) = -i. Calculate n(t(m)).
11130*m**2
Let m(q) = -2*q. Let j(i) = -5*i + 2*i + 3 + i - 8. Let b(k) = k + 2. Let n(r) = 5*b(r) + 2*j(r). What is m(n(y))?
-2*y
Let b(u) = -u**2 + 5*u. Let c(p) = 4*p**2. Give b(c(l)).
-16*l**4 + 20*l**2
Let s(p) = -2*p. Let v(f) = 167*f - 89*f - 89*f. Calculate v(s(h)).
22*h
Let s(v) be the second derivative of 37*v**3/6 + 36*v. Let w(u) = u. Give s(w(x)).
37*x
Let k(t) = -53*t. Let v(q) = 3*q**2. Give v(k(l)).
8427*l**2
Let o(f) = -139*f**2. Let c(s) = 17*s. Calculate c(o(u)).
-2363*u**2
Let g(z) = -z**2. Let o(k) = -k**3 + 16*k**2 + 17*k + 2. Let v be o(17). Let u be (4/(-2) + -1)/(-1). Let f(w) = u*w**2 + 0*w**2 + 0*w**v. Calculate f(g(b)).
3*b**4
Let t(j) = -6*j. Let l(g) = 2606*g**2. Give t(l(p)).
-15636*p**2
Let y(m) = 7*m**2 - 3*m**2 - 3*m**2. Let r(z) = -12*z. Calculate r(y(j)).
-12*j**2
Let g(f) = 4*f. Let s(i) = 11*i - 6 + 8 - 2. What is g(s(d))?
44*d
Let h(r) = r - 49. Let u(a) = a**2. What is u(h(i))?
i**2 - 98*i + 2401
Let f(a) = -11*a**2 + 5*a - 5. Let u(p) = p - 1. Let b(s) = -f(s) + 5*u(s). Let z(m) = -3*m. Give b(z(k)).
99*k**2
Let v(k) = -k. Let z(n) = -19*n. Calculate z(v(w)).
19*w
Let j(c) be the first derivative of 2/3*c**3 + 0*c + 0*c**2 + 2. Let t(f) = 0*f + 0*f - f. Give j(t(d)).
2*d**2
Let o(v) = -v. Let k(u) = u + 4*u + 6*u. What is o(k(d))?
-11*d
Let i(o) = 3*o**2. Let w(y) = 18*y. Determine i(w(f)).
972*f**2
Let m(r) = 5*r. Let z(d) = -1009*d**2. Determine z(m(c)).
-25225*c**2
Let k(t) = 12*t. Let n(u) = 3*u**2 - 160*u. Determine n(k(d)).
432*d**2 - 1920*d
Let h(m) = -11*m**2 + 13*m. Let l(a) = -5*a**2 + 6*a. Let b(r) = -6*h(r) + 13*l(r). Let j(d) = -78*d**2 + 25*d**2 + 29*d**2 + 21*d**2. What is j(b(o))?
-3*o**4
Let p(q) = 2*q**2. Let c(y) = 33803*y**2. Give c(p(f)).
135212*f**4
Let f be (3/2)/((-15)/(-20)). Let u(g) be the third derivative of 0*g**4 + 0*g**3 + 0*g - 1/30*g**5 + 0 - 2*g**f. Let t(a) = 3*a**2. Calculate u(t(j)).
-18*j**4
Let h(r) = 2*r. Let q(p) be the second derivative of p**4/12 - 9*p. Give q(h(x)).
4*x**2
Let x(v) = -v. Let p(u) be the third derivative of 0*u**3 - 4*u**2 - 1/20*u**5 + 0*u**4 + 0 + 0*u. Determine p(x(f)).
-3*f**2
Let m(i) = -i**2. Let h(j) = 2*j**2 + 43*j - 1. Determine h(m(o)).
2*o**4 - 43*o**2 - 1
Let a(s) = 31*s**2. Let u(r) = 8*r - 9*r + 3*r. Give u(a(z)).
62*z**2
Let q = -6 + 9. Let d(y) = -3 - q - y + 6. Let s(i) = 2*i**2. Determine s(d(j)).
2*j**2
Let y(j) = -4*j. Let p(i) be the second derivative of -i**4/6 + 11*i. What is y(p(f))?
8*f**2
Let p(i) be the second derivative of i**5/60 - i**3/6 + 2*i. Let l(g) be the second derivative of p(g). Let y(c) = -c. Calculate l(y(m)).
-2*m
Let s(z) be the first derivative of -5*z**3/3 - 1. Suppose m = 4*h + 3, 5*h = 2*h + 9. Let c(j) = -m + 15 - j. Calculate c(s(t)).
5*t**2
Let z(d) be the third derivative of -d**5/60 - 4*d**2. Let a(s) = -13*s**2. Calculate a(z(i)).
-13*i**4
Let l(y) = 2*y**2. Let a(n) = -9*n**2 + 3 + 10*n**2 - 3. Determine a(l(d)).
4*d**4
Let p(n) = -3*n. Let z(a) = -5*a. Let u(f) = -11*p(f) + 6*z(f). Let j(l) = -2*l - 3. Let w(o) = 3*o + 4. Let d(g) = 4*j(g) + 3*w(g). What is d(u(x))?
3*x
Suppose -3*c - 2*c = -30. Let k(u) = c*u - 12*u + 2*u. Let p(r) = 0*r**2 - 2 + 2 - r**2. Give k(p(w)).
4*w**2
Let d(w) = 4*w + 396. Let j(i) = i**2. What is j(d(b))?
16*b**2 + 3168*b + 156816
Let r(w) = -4*w**2 - 7*w + 7. Let s(o) = -o**2 - 2*o + 2. Let a(j) = -6*r(j) + 21*s(j). Let l(z) = -z**2. Give l(a(x)).
-9*x**4
Let o(n) = 10*n**2. Let u(d) = 14*d**2. Calculate o(u(t)).
1960*t**4
Let f(k) = -2*k. Let n(u) = -4*u + 4. Let j(p) be the third derivative of p**3/6 - 3*p**2. Let a(b) = 4*j(b) - n(b). Determine f(a(o)).
-8*o
Let x(s) be the third derivative of 0 + 0*s - s**2 + 0*s**4 + 0*s**3 - 1/30*s**5. Let h(q) be the third derivative of q**5/60 - 5*q**2. What is h(x(a))?
4*a**4
Let x(k) = k. Let b(p) = -2*p**2 + 3*p. Suppose 3*l + 2*v - 3 = 0, -3*l - l + 4*v + 4 = 0. Let m(o) = l*b(o) - 3*x(o). Let y(i) = -i. Give y(m(j)).
2*j**2
Let v(y) be the first derivative of y**2 - 1. Suppose 5*q + 0*q - 15 = 0. Let r(i) = -i**2 - i**2 - q + 3. Give v(r(o)).
-4*o**2
Let t(q) = 3*q + 5. Let b(p) = 2*p + 4. Let l(o) = -5*b(o) + 4*t(o). Let h be ((-2)/4)/(3/(-12)). Let j(u) = 10 - 10 - h*u. What is l(j(z))?
-4*z
Let u(w) = 40*w + 5. Let h(c) = -c. Calculate h(u(q)).
-40*q - 5
Let v(p) = 2*p**2. Let i(h) = 724*h**2. Determine v(i(u)).
1048352*u**4
Let f(k) = -80*k. Let m(b) = -7*b + 0*b + 2*b + 3*b. Calculate m(f(i)).
160*i
Let w(m) be the third derivative of -m**4/24 + 5*m**2 + 25. Let q(v) be the second derivative of -v + 0*v**2 + 0 - 1/6*v**3. Determine w(q(g)).
g
Let c(g) = -2*g**2. Let d(l) = l**2 + 1. Let f(q) = q**2 + 2. Let x(o) = -5*d(o) + 4*f(o). Let t(p) be the first derivative of x(p). What is c(t(w))?
-8*w**2
Let q(r) = 5*r**2 + 6*r - 6. Let t(a) = -11*a**2 - 13*a + 13. Let o(k) = 13*q(k) + 6*t(k). Let u(j) = 12*j**2. Determine u(o(m)).
12*m**4
Let d(j) = -232*j. Let t(u) = 2*u**2. Give d(t(r)).
-464*r**2
Let i(h) = -10175*h. Let f(x) = x**2. Calculate f(i(s)).
103530625*s**2
Let r(j) = 649*j. Let a(t) = 19*t**2. Calculate a(r(f)).
8002819*f**2
Let l(s) be the first derivative of s**2/2 + 3. Let x(a) be the first derivative of -a**2/2 - 11. Determine x(l(r)).
-r
Let w(c) be the third derivative of c**6/180 + 2*c**3/3 - 4*c**2. Let o(i) be the first derivative of w(i). Let g(s) = 7*s. Give g(o(d)).
14*d**2
Let v(q) = -q. Let l(u) = 5*u + 31 - 31. Determine v(l(c)).
-5*c
Let f(m) be the second derivative of m**3/3 - 4*m. Let b(o) = -19*o**2. Give b(f(h)).
-76*h**2
Let k(u) = u - 5*u - 3*u + 6*u. Let j(b) = b. Let o(y) = 21*y. Let i(m) = -119*j(m) + 6*o(m). Calculate k(i(g)).
-7*g
Let w(b) = 3*b**2 - 6*b**2 + 4*b**2. Let n(i) = -i**3 - 8*i**2 - 8*i - 7. Let v be n(-7). Let f(s) = s - 4*s + 2*s + v*s. Calculate f(w(g)).
-g**2
Let f(a) = -3*a**2. Let v(g) = -50*g**2 + 12*g - 12. Let n(j) = -20*j**2 + 5*j - 5. Let x(b) = -12*n(b) + 5*v(b). Calculate f(x(z)).
-300*z**4
Let l(j) = 10*j. Let z(w) = -3*w**2. What is z(l(f))?
-300*f**2
Let i(t) = 14*t + 54. Let m(u) = 7*u. What is m(i(n))?
98*n + 378
Let h(o) = -389*o + o**2 + 190*o + 199*o. Let c(w) = -2*w - 6. Determine c(h(d)).
-2*d**2 - 6
Let y(h) = -h**2. Let k(d) = 2*d. What is k(y(c))?
-2*c**2
Let m(l) = 18*l. Let w(p) = -34*p**2. Determine m(w(t)).
-612*t**2
Let q(u) = -7*u**2. Let l(i) = -2*i**2 - 3. Let p(y) = -4 - 1 - 2 - 5*y**2. Let n(j) = 14*l(j) - 6*p(j). What is n(q(f))?
98*f**4
Let o(c) be the first derivative of c**3/3 - 9. Let f(l) = -8*l**2. Determine o(f(m)).
64*m**4
Let s(d) = -18*d + 38*d + 5*d**2 - 20*d. Let a(z) = 4*z**2. Give s(a(g)).
80*g**4
Let v(m) be the first derivative of -2*m**3/3 - 2. Let i(k) = k. Give i(v(f)).
-2*f**2
Let j(c) = -3*c**2. Let f(w) = 37 - 6*w - w - 37. What is j(f(i))?
-147*i**2
Let z(q) = -35*q**2. Let k(s) be the third derivative of s**5/30 - 5*s**2. Determine z(k(o)).
-140*o**4
Let w(d) = 3*d. Let u(l) = 8*l. Calculate w(u(i)).
24*i
Let q = 1 - -4. Let f(l) = 5*l - q*l + l**2. Let i(x) = x + 0*x + 3*x - 5*x. Determine f(i(y)).
y**2
Let n(t) = -2*t**2. Let z(o) be the second derivative of o**3/3 + o**2/2 + 38*o. Calculate z(n(b)).
-4*b**2 + 1
Let g(l) be the third derivative of l**5/60 - 10*l**2. Let c(r) = -12*r. Calculate c(g(o)).
-12*o**2
Let o(s) = s**2. Let w(z) = 10*z - 2. What is o(w(p))?
100*p**2 - 40*p + 4
Let f(z) be the first derivative of -8*z**3/3 - 2. Let l(s) = 12*s**2 + 9*s**2 - 22*s**2. Calculate f(l(i)).
-8*i**4
Let z(a) = -3*a. Let r(i) = 3*i. Let s(h) = -8*h. Let p(m) = -11*r(m) - 4*s(m). Calculate p(z(b)).
3*b
Let c(f) = 2*f. Let y = 48 - 46. Let r(s) be the second derivative of 0*s**y + 0 - 3*s + 1/6*s**3. Give c(r(j)).
2*j
Let b(l) = 2*l**2. Let n(g) = -171*g**2. What is n(b(j))?
-684*j**4
Let p(c) be the third derivative of -c**7/2520 + c**5/30 + c**2. Let q(j) be the third derivative of p(j). Let g(w) = 0*w**2 + 0*w**2 - 2*w**2. What is q(g(z))?
4*z**2
Let g(j) = -25