Suppose l = 5*l - 2*l. Let g(a) be the second derivative of l*a**2 + 0 - a + 1/6*a**3. Determine g(i(b)).
-b
Let p(x) = x. Let v(i) = i. Let g(l) = 6*l. Let c(q) = 13*q. Let d(z) = 3*c(z) - 5*g(z). Let a(r) = d(r) - 5*v(r). Determine a(p(h)).
4*h
Let u(k) = 3*k. Let r(j) be the first derivative of -j**3/3 - 2. Determine u(r(y)).
-3*y**2
Let i(s) = 12*s**2. Let c(q) = -6*q**2 + q. Determine i(c(g)).
432*g**4 - 144*g**3 + 12*g**2
Let x(q) = q. Let k(y) = -5*y - 7. Let p = -5 + -2. Let t(w) = 3*w + 4. Let r(v) = -3*v + 17. Let m be r(7). Let j(a) = m*k(a) + p*t(a). Calculate j(x(g)).
-g
Let w(d) be the second derivative of 0*d**3 + 2*d + 0*d**2 + 0 + 1/6*d**4. Let c(u) = -6*u**2 + 2*u**2 + 5*u**2. Determine w(c(r)).
2*r**4
Let m(b) = 2*b. Let u(o) be the third derivative of -17*o**4/12 + 8*o**2. Give u(m(y)).
-68*y
Let h(i) = i**2. Let g(o) = 8*o. Give h(g(y)).
64*y**2
Let u(b) be the third derivative of 0*b + 0 + 0*b**3 - 1/8*b**4 - 6*b**2. Let h(p) = p**2 - 2*p. Let d(t) = -t. Let n(k) = 2*d(k) - h(k). Give u(n(f)).
3*f**2
Let n(q) = -2*q**2 + 203. Let v(m) = -m. Calculate v(n(h)).
2*h**2 - 203
Let s(o) = 4*o - 4. Let n(b) = 3*b. Calculate s(n(r)).
12*r - 4
Let t(r) = -127*r**2 - 10. Let k(j) = -5*j**2. Give k(t(v)).
-80645*v**4 - 12700*v**2 - 500
Let q(w) = 3*w**2 - 3*w**2 - 6*w**2. Let t(z) = -z**2 - 5*z**2 + 2*z**2 + 3*z**2. What is t(q(x))?
-36*x**4
Let w(i) = -2*i. Let y(u) = u**3 - 6*u**2 + 6*u - 3. Let x be y(5). Let m(d) = 7*d**x - 2*d**2 - d**2. Calculate w(m(j)).
-8*j**2
Let s(h) = -h**2. Let f(r) be the first derivative of r**4/12 + r**2/2 - 3. Let d(l) be the second derivative of f(l). What is d(s(i))?
-2*i**2
Let j(m) = -625*m. Let n(h) = -h**2. Determine n(j(q)).
-390625*q**2
Let z(m) = -39*m**2. Let v(h) be the third derivative of -h**5/30 - 2*h**2. Determine v(z(j)).
-3042*j**4
Let v(l) = -8*l**2 + 10*l**2 - 27*l**2. Let m(h) = h**2. Determine m(v(r)).
625*r**4
Let w = -13 + 15. Let u(v) = 0*v**2 - 2*v**2 + 4*v**w + 0*v**2. Let a(z) = -4*z**2. Determine a(u(f)).
-16*f**4
Let s(o) = -10*o + 6*o + 5*o. Let v(b) = 40*b. Give v(s(k)).
40*k
Let v(z) = -17*z - 5. Let b(r) = -32*r. Calculate b(v(d)).
544*d + 160
Let v(f) be the third derivative of -f**4/24 - f**2. Let b(c) be the second derivative of 0*c**2 + 0 + 2*c + 2/3*c**3. Determine b(v(w)).
-4*w
Let v be 3 - (4 - 2) - -2. Suppose 15 = -5*a, h = a - 3*a. Let k(r) = 0*r + v*r - h*r. Let s(j) = -j. What is k(s(x))?
3*x
Let p(c) be the second derivative of -c**4/6 - 2*c**3/3 - 15*c. Let j(z) = -z. Calculate j(p(b)).
2*b**2 + 4*b
Let y(b) be the second derivative of 2*b**3/3 + 5*b. Let g(m) = -m**2. Give y(g(c)).
-4*c**2
Let r(m) = 5*m. Let l(a) = -1. Let i(d) = -2*d - 2. Let o(u) = -i(u) + 2*l(u). What is r(o(n))?
10*n
Let v(g) = 0*g + 2*g - 3*g. Let a(d) be the third derivative of -d**4/6 - 3*d**2 - 9*d. Determine v(a(l)).
4*l
Let r(d) be the first derivative of 0*d**2 + 2 + 1/6*d**4 - d + 0*d**3. Let q(k) be the first derivative of r(k). Let y(l) = l. Determine y(q(h)).
2*h**2
Let b(d) = 3*d. Let j(y) be the first derivative of y**2/2 - y + 11. Let p(z) = -2*z + 2*z + 1 - 2*z. Let k(i) = 2*j(i) + 2*p(i). What is b(k(s))?
-6*s
Let d(c) be the second derivative of 0*c**3 + 3*c + 0*c**2 + 0 + 1/6*c**4. Let y(x) = -6*x. Determine y(d(t)).
-12*t**2
Let q(k) = -2*k**2. Let r(c) be the first derivative of -c**4/8 + c**2/2 - 5. Let v(t) be the second derivative of r(t). Determine q(v(m)).
-18*m**2
Let m(c) = 12*c**2. Let d(h) = -23*h + 7*h + 7*h + 7*h. Give m(d(f)).
48*f**2
Let k(p) = -2*p. Let o(g) be the first derivative of -13*g**3/3 + 12. Give o(k(c)).
-52*c**2
Let b(x) be the second derivative of 4*x + 0 - 1/2*x**4 + 0*x**3 + 0*x**2. Let l(n) = -n. Determine l(b(d)).
6*d**2
Let y(u) = 6*u. Let f(s) = -1. Let r(o) = 3*o**2 + 3. Let n(z) = 3*f(z) + r(z). Calculate y(n(g)).
18*g**2
Let t(o) = 3*o**2 + 4*o**2 - 6*o**2. Let d(y) = -4*y - 5. Let c(z) = -z - z - 2*z - 4. Let h(r) = -5*c(r) + 4*d(r). What is h(t(k))?
4*k**2
Let i(d) = -d. Suppose 3*z = -2*o + 7, -5*z = -2*o + 1 - 2. Let p(f) = f - 1. Let y be p(z). Let g(n) = 2*n**2 + y*n - 4*n + 4*n. Calculate i(g(x)).
-2*x**2
Let r(t) = 3*t. Let b(c) be the third derivative of 3*c**4/2 - 30*c**2 + c. What is r(b(a))?
108*a
Let f(v) be the first derivative of -4*v**3/3 - 9. Let d(t) = 2*t**2. Calculate f(d(n)).
-16*n**4
Let j(k) = 6*k. Let r(g) be the third derivative of g**5/60 + 2*g**3/3 + 2*g**2. Let o(s) be the first derivative of r(s). Calculate j(o(z)).
12*z
Let i(l) = 2*l. Let s(q) = -123*q**2 + 6*q. Give s(i(b)).
-492*b**2 + 12*b
Let g(f) = 7277*f**2. Let a(z) = z**2. Give g(a(w)).
7277*w**4
Let l = 5 + -3. Let x(k) = 3*k. Let r(y) = 10*y. Let g(h) = l*r(h) - 7*x(h). Let j(n) = -2*n**2. Calculate j(g(t)).
-2*t**2
Let b(v) be the second derivative of v**4/6 + 17*v. Let h(o) = -45*o**2. Determine h(b(t)).
-180*t**4
Let z(l) = -6*l**2. Let t(k) = 51*k. Give z(t(o)).
-15606*o**2
Let g(n) be the third derivative of 7*n**5/60 + n**3 - 2*n**2. Let t(q) = -13*q**2 - 11. Let v(l) = -11*g(l) - 6*t(l). Let b(f) = -f + f + 2*f. What is b(v(m))?
2*m**2
Let h(m) = -754*m**2. Let c(b) = 9*b**2. What is c(h(i))?
5116644*i**4
Suppose -22 = -5*w + 4*c, 10 = -2*w + 5*w - 4*c. Let k(h) = 0*h - 2*h + h. Let f(s) = s. Let x(n) = w*f(n) + 7*k(n). Let y(r) = -2*r. What is y(x(j))?
2*j
Let z(y) = -455*y. Let g(d) = -12*d. Give z(g(s)).
5460*s
Let i(r) = 2*r**2. Let c(d) = 36*d - 8. What is i(c(t))?
2592*t**2 - 1152*t + 128
Let n(m) = -m**2. Let x(b) be the first derivative of -b**6/180 - 5*b**3/3 - 1. Let z(q) be the third derivative of x(q). What is n(z(f))?
-4*f**4
Let d(m) = 231*m. Let q(t) = 2*t. What is q(d(k))?
462*k
Let q(f) be the third derivative of -f**5/30 + 2*f**2. Let w(z) = z**3 - 2*z**2 + 3*z - 2. Let d be w(2). Let b(g) = -2*g - d*g + 4*g. Determine q(b(v)).
-8*v**2
Let p(f) be the first derivative of -f**3 + 10. Let h(o) = -6*o. Give h(p(v)).
18*v**2
Let a(n) = 54*n**2. Let c(o) = 14*o. Give a(c(r)).
10584*r**2
Let w(j) = -11*j - 343. Let t(o) = o**2. Calculate w(t(q)).
-11*q**2 - 343
Let p(m) = m**2 + 5*m + 5. Let a(i) = i**2 + i + 1. Let o(v) = 5*a(v) - p(v). Let k(x) = -x. Determine o(k(s)).
4*s**2
Let n(w) = 104 - 104 - 3*w. Let v(l) = -2*l**2. Calculate n(v(p)).
6*p**2
Let n(k) = 449*k - 453*k + 0 + 0. Let d(s) = -4*s. Give d(n(o)).
16*o
Let k(x) = -868*x**2. Let a(u) = 28*u**2. Give a(k(f)).
21095872*f**4
Let q(z) = -47*z**2. Let n(h) = -2*h. What is q(n(o))?
-188*o**2
Let o(x) = 169*x**2. Let j(h) = 8*h + 5. What is o(j(f))?
10816*f**2 + 13520*f + 4225
Let a(d) = 2*d. Let i(v) = -9*v**2 + 3*v**2 - 9*v**2. Give a(i(t)).
-30*t**2
Let k(i) = -i - 2. Let l(h) = -h**2 + 5*h - 5. Let d(g) = -g + 1. Let f(s) = 10*d(s) + 2*l(s). What is f(k(x))?
-2*x**2 - 8*x - 8
Let y(l) = 2*l - 99. Let m(b) = -2*b. Calculate y(m(w)).
-4*w - 99
Let r(u) = 3*u**2. Let l(q) be the first derivative of -q**3/3 - 3*q**2 - 6*q - 1. Let k be l(-4). Let p(y) = 9 - 9 - k*y**2. Determine r(p(f)).
12*f**4
Let i(n) = 17*n**2. Let p(d) = 17*d. Calculate i(p(y)).
4913*y**2
Let j(g) = -g - 1. Let y(z) = -7*z - 11. Let a(t) = -22*j(t) + 2*y(t). Let k(s) = 2*s. Give a(k(f)).
16*f
Let j(r) = -r + 1. Let p(n) = -2. Let c(f) = 2*j(f) + p(f). Let h = -7 + 10. Let i(a) = h*a + 2*a - 2*a - 7*a. What is i(c(b))?
8*b
Let b(j) = -j**2. Let u(o) = 4*o + 3. Let q(n) = 5*n + 4. Suppose 17 = 5*x + 2. Let y(c) = x*q(c) - 4*u(c). Give b(y(l)).
-l**2
Let p(o) = -45*o - 7. Let q(w) = 15*w + 2. Let y(d) = 2*p(d) + 7*q(d). Let l(z) = -3*z. Calculate y(l(t)).
-45*t
Let z(a) = 28 - 28 - 2*a + 4*a. Let j(y) be the third derivative of -y**4/8 + y**2. Calculate z(j(w)).
-6*w
Let x(r) be the second derivative of 0 - 3*r + 1/6*r**4 + 0*r**2 + 0*r**3. Let n(c) be the first derivative of 2*c**3/3 - 1. Determine n(x(p)).
8*p**4
Let n(o) = -8*o**2. Let x(f) = 11 - 3 - f + 2 + 3*f. Let p(z) = -1. Let c(m) = 10*p(m) + x(m). Calculate c(n(r)).
-16*r**2
Let j(f) = 2*f. Let k(y) = -y**2 - 18*y - 6. Calculate j(k(o)).
-2*o**2 - 36*o - 12
Let u(q) = 4*q. Let b(y) = 495*y**2 + 1. Give u(b(f)).
1980*f**2 + 4
Let k(a) = -4*a**2. Let s(p) = 5*p - 50. What is k(s(w))?
-100*w**2 + 2000*w - 10000
Let q(n) = 3*n. Let x(u) be the first derivative of 1/2*u**2 + 2 + 0*u. What is q(x(g))?
3*g
Let b(q) = -7*q + 11. Le