4. Let a(b) = 4*v(b) + 11*w(b). Let i(m) = 3*m - 1. Let d(r) = a(r) + i(r). Calculate d(g(n)).
3*n
Let r(z) be the second derivative of z**3/2 - 44*z. Let b(m) = -3*m + 6. Calculate r(b(a)).
-9*a + 18
Let a(v) be the third derivative of v**5/20 + 21*v**2. Let h(j) = j**2. What is h(a(m))?
9*m**4
Let k(b) = -3*b - 1. Let z(x) = 2 + x + 1 - 4. Let s be (-18)/(-14) - 0 - (-56)/(-196). Let u(i) = s*k(i) - z(i). Let n(f) = -3*f. Determine u(n(j)).
12*j
Let b(n) be the third derivative of 5*n**4/12 - 11*n**2. Let r(y) be the second derivative of -y**4/6 - y. Determine r(b(f)).
-200*f**2
Let f(a) = 2*a. Suppose -6*h + 2*h = 0. Let d(w) = h + 0 + 3*w. Calculate f(d(r)).
6*r
Let b(v) = v - 614. Let f(z) = 4*z**2. Calculate f(b(m)).
4*m**2 - 4912*m + 1507984
Let h(y) = 12*y**2. Let u(m) = -446*m. Give u(h(x)).
-5352*x**2
Let w(s) = -2598*s. Let o(f) = 2*f**2. What is w(o(k))?
-5196*k**2
Let h(u) = 2*u. Let c(k) = 9*k + 2 + 21*k - 2. Calculate c(h(v)).
60*v
Let d(l) = -l**2. Let s(o) = 12846*o**2. What is d(s(z))?
-165019716*z**4
Let t(j) = -j - 2. Let v(s) = -5*s - 9. Let r(a) = 9*t(a) - 2*v(a). Let y(g) = 44*g**2. Determine r(y(l)).
44*l**2
Let c(s) = -42*s. Let v(k) = k. Determine c(v(p)).
-42*p
Let n(v) = v. Let j(z) = 2*z. Let o(b) = 2*j(b) - 6*n(b). Let m(c) = -c + 1. Let y(w) = 4*w - 2. Let q(d) = -2*m(d) - y(d). Determine o(q(l)).
4*l
Let c(s) = 4*s**2 - 8*s**2 + 5*s - 5*s. Let y(b) = 21*b**2. Give y(c(p)).
336*p**4
Let k(w) be the second derivative of w**3/6 - w. Let p(c) be the second derivative of c**4/6 + c. Determine k(p(t)).
2*t**2
Let k(o) = o**2. Let g(z) = 13*z**2 + 4*z + 4. Let p(y) = -40*y**2 - 11*y - 11. Let u(w) = 11*g(w) + 4*p(w). Give k(u(f)).
289*f**4
Let j(q) be the third derivative of q**5/30 + 2*q**2. Let h(k) be the first derivative of 2*k**3/3 - 5. Determine j(h(s)).
8*s**4
Let q(f) = f. Let l(k) = 3*k + 11. Let s(i) = 2*i + 13. Let v(y) = -y - 7. Let g(d) = 3*s(d) + 5*v(d). Let p(a) = -11*g(a) + 4*l(a). Calculate p(q(n)).
n
Let x(v) = 3*v**2. Let k(g) = -16*g**2. Give k(x(m)).
-144*m**4
Let i(w) = -18*w**2. Let t(b) = 3*b**2 - 117. What is t(i(s))?
972*s**4 - 117
Let i(d) = 13*d**2. Let h(k) = 3*k - 2. Let w(c) = -7*c + 5. Let l(n) = 15*h(n) + 6*w(n). Determine i(l(p)).
117*p**2
Let q(d) = 2*d. Let u(c) = 57*c + 3. Give q(u(b)).
114*b + 6
Let l(u) = -7*u. Let p(c) = -11*c. Let a(w) = 8*l(w) - 5*p(w). Let k(q) = -9*q**2. What is a(k(h))?
9*h**2
Suppose 3*c + 2*g = 4*g - 2, 3*g - 12 = 0. Let m(o) = 47 - 47 - 4*o**c. Let l(d) = 1. Let z(a) = a - 5. Let f(v) = -10*l(v) - 2*z(v). What is f(m(y))?
8*y**2
Let w(x) = x**2. Let u(b) = -585*b**2. Calculate w(u(g)).
342225*g**4
Let k(i) = -2*i**2. Let j(s) be the third derivative of 0*s - 23/24*s**4 + 0*s**3 + 0 - 5*s**2. Calculate j(k(a)).
46*a**2
Let g(p) be the first derivative of -p**2/2 - 13. Let w(j) = -14*j. Give g(w(f)).
14*f
Let w(b) be the first derivative of 5*b**3/3 + 1. Suppose -1 = 2*v - 5. Let j(l) = 0*l**2 - 2*l + l**2 + v*l. Give w(j(q)).
5*q**4
Let x(r) = 2*r**2. Let b(p) = 193*p**2 + 2*p. What is b(x(l))?
772*l**4 + 4*l**2
Let w(n) be the second derivative of n**4/12 + 7*n. Let h(l) = 3*l**2. Give w(h(z)).
9*z**4
Let n(j) = 118 + 2*j**2 - 57 + 46. Let s(q) = -q. Determine n(s(r)).
2*r**2 + 107
Let f(g) = 7*g**2 + 5. Let s = 7 + -3. Let n(b) = -3*b**2 - 2. Let y(u) = s*f(u) + 10*n(u). Let h(w) = -w**2 + 2*w**2 - 4*w**2. What is h(y(q))?
-12*q**4
Let t(f) = 25416*f. Let k(x) = 2*x. Calculate k(t(r)).
50832*r
Let i(n) = 4*n + 3*n - 5*n. Let j(l) = -5*l. Give i(j(x)).
-10*x
Let b be ((-10)/(-15))/((-3)/(-9)). Let c(z) = -3*z - 2*z - b*z + 5*z. Let x(o) = -9*o**2. Determine c(x(j)).
18*j**2
Let c(p) be the first derivative of p**2 + 4. Let d(q) = 76*q. Calculate c(d(n)).
152*n
Let f(b) = 4*b**2 - 20. Let y(z) = 4*z**2. Calculate y(f(o)).
64*o**4 - 640*o**2 + 1600
Let h(r) be the second derivative of 0*r**2 - 3*r - 1/3*r**3 + 0. Let b(u) = -u. What is b(h(f))?
2*f
Let d(y) = -8*y. Let k(a) = 54*a**2. Determine k(d(j)).
3456*j**2
Let b(d) = 12*d - 14*d + 9 - 9. Let g(n) = -6*n + 2. Let i(o) = -7*o + 3. Let p(m) = -3*g(m) + 2*i(m). Determine b(p(x)).
-8*x
Let c(q) = 8*q + 3. Let b(r) = 6*r + 2. Let f(t) = 3*b(t) - 2*c(t). Let m(l) = 10*l. What is m(f(s))?
20*s
Let w(q) be the third derivative of q**4/24 + 7*q**2. Let p(i) = -3*i. Calculate p(w(x)).
-3*x
Let v(y) = -y. Suppose 5*q = 3*p + q - 13, q + 1 = 0. Suppose f = -t, -f - 4*f + 8 = t. Let k(c) = -c**f + p*c**2 - 5*c**2. What is v(k(r))?
3*r**2
Let b(z) = -4*z**2 - 3*z. Let s(d) = d**2 + d. Let o(r) = -b(r) - 3*s(r). Let u(y) = 3*y**2 + 5*y**2 - 7*y**2. What is o(u(c))?
c**4
Let f(b) be the first derivative of b**2/2 - 2. Let p(y) = -12*y + 27. Let j(z) = -z + 2. Let k(i) = 27*j(i) - 2*p(i). What is f(k(x))?
-3*x
Let f(m) = 0*m**2 - 5*m**2 + 4*m**2 + 6*m**2. Let d(p) = 3*p**2. Give f(d(v)).
45*v**4
Let u(p) = 2*p**2 + 4*p - 4. Let l = -23 - -43. Let a be 24/5 - (-4)/l. Let m(s) = 2*s**2 + 5*s - 5. Let y(c) = a*u(c) - 4*m(c). Let g(j) = 3*j. Give g(y(t)).
6*t**2
Let p(h) = h. Let s(d) = -6*d + 5*d + 12*d - d. Give s(p(j)).
10*j
Let t(m) = -2*m. Let u(a) be the third derivative of -1/12*a**5 + 0 + 0*a**4 + 0*a**3 - 5*a**2 + 0*a. What is u(t(k))?
-20*k**2
Let i(w) = -2*w. Suppose 0 = -3*z - 4*c, -z + c = 2*c. Let a(g) = -6*g**2 + 3*g**2 + z*g**2. Give a(i(o)).
-12*o**2
Let l = 9 + -6. Let p(f) = 3*f + l*f**2 + 0*f**2 - 3*f. Let w(b) be the second derivative of -b**4/6 - 4*b. Determine p(w(n)).
12*n**4
Let q(u) be the second derivative of u**3/6 - 9*u. Let t(d) = 2*d**2. What is q(t(w))?
2*w**2
Let h(k) be the first derivative of -k**3 + 2. Let j(g) = 3*g + 8. Let r(m) = -2*m - 5. Let u(z) = -5*j(z) - 8*r(z). Determine u(h(y)).
-3*y**2
Let f(y) = -2*y**2. Let h(m) be the first derivative of 16*m**2 + 4. What is f(h(r))?
-2048*r**2
Let m(a) = -a**2. Let t(b) be the second derivative of b**5/12 + 3*b**2/2 - 4*b. Let i(l) be the first derivative of t(l). Determine m(i(d)).
-25*d**4
Let c(a) = -2*a. Suppose -42*f = -38*f - 8. Let d(l) = 38 - 38 - 6*l**f. Give d(c(y)).
-24*y**2
Let a(j) = -37*j. Let k(w) = -3*w + 8. What is a(k(f))?
111*f - 296
Let k(b) = -44*b**2. Let s(p) = 2*p - 4. What is k(s(m))?
-176*m**2 + 704*m - 704
Let q(k) = 6494*k. Let m(x) = -x**2. Determine q(m(n)).
-6494*n**2
Let q(g) = 2*g. Let w(z) = -2. Let o(p) = -14*p + 22. Let d(m) = -2*o(m) - 22*w(m). Calculate q(d(l)).
56*l
Let c(v) = -2*v**2 + 4570*v - 4570*v. Let i(a) = 3*a. Let o(y) be the first derivative of y**3/3 - 21*y**2/2 + 1. Let n(k) = -21*i(k) - 3*o(k). What is c(n(s))?
-18*s**4
Let b(c) be the second derivative of 7*c**3/6 + 21*c. Let g(p) = -2*p**2. What is b(g(k))?
-14*k**2
Let d(c) = 19*c - 3. Let b(z) = 3*z. Give b(d(o)).
57*o - 9
Let o(k) = -k + 1. Let z(t) = 11*t - 6. Suppose -38 = -3*d + 4*y, 2*d + y = -d + 13. Let h(x) = d*o(x) + z(x). Let w(a) = -2*a. Give h(w(q)).
-10*q
Let p(g) = 5*g**2. Let a(c) = 3*c**2 - 2*c**2 - 3*c**2 + 3*c**2. Calculate a(p(z)).
25*z**4
Let f(a) = 43 - 43 - 2*a. Suppose h + 4 = 3*h. Let o(g) = -h*g + 0*g + g. Calculate f(o(q)).
2*q
Let o(i) be the second derivative of -i**4/4 - 5*i. Let h(y) = -3*y - 3. Let j(x) = 6*x + 5. Let w(l) = -5*h(l) - 3*j(l). Give o(w(r)).
-27*r**2
Let y(n) = -6*n**2. Let z(q) = 9*q**2 + 12*q**2 - 19*q**2. Give z(y(d)).
72*d**4
Let c(l) = -3*l**2. Let d(b) = -b + 1. Let k(f) = -3*f**2 - f + 1. Let i(j) = -d(j) + k(j). What is c(i(s))?
-27*s**4
Let q(o) = 3*o. Let p(y) = 4684*y. Give q(p(n)).
14052*n
Let d(z) = z**2 - 1 + 1. Let n(h) be the first derivative of 7/2*h**2 - 2 + 0*h. What is n(d(w))?
7*w**2
Let y(l) be the third derivative of l**4/8 + 2*l**2. Let j(o) = -o - 1. Let i(d) = -d**2 - 6*d - 6. Let b(t) = -i(t) + 6*j(t). What is y(b(g))?
3*g**2
Let f(r) = 3*r**2. Let k(v) = -456*v. Give f(k(q)).
623808*q**2
Let v(a) = 110*a. Let r(o) = o**2. What is r(v(f))?
12100*f**2
Let w(y) = y**2 - 13*y. Let h(r) = -3*r. Give h(w(c)).
-3*c**2 + 39*c
Let b(u) = 9*u. Let c(z) = 2*z**2 + 6*z - 6. Let g(l) = 13*l**2 - 8 - 9 - 7*l**2 + 17*l. Let j(s) = -17*c(s) + 6*g(s). Determine j(b(y)).
162*y**2
Let x(w) = -120*w. Let g(p) = 4*p + 2. What is x(g(v))?
-480*v - 240
Let o(v) = 5*v**2. Let f(m) = -9*m. Let n(l) be the third derivative of -l**4/3 - l**2. Let d(g) = -6*f(g) + 7*n(g). Give o(d(p