(c). Let o(x) = 4*x. Calculate z(o(f)).
4*f
Let r(b) be the third derivative of -b**5/30 - b**2. Let w = -17 + 19. Let g(m) = -m**w - 4*m + 12*m - 8*m. What is r(g(y))?
-2*y**4
Let p(t) = 2*t + t - t. Let c(u) = -2*u - 7. Let s(q) = q + 4. Let j(h) = -4*c(h) - 7*s(h). Give p(j(d)).
2*d
Let m(u) = 39*u. Let z(a) = -153*a**2. Give m(z(i)).
-5967*i**2
Let y(d) = 11*d - 2. Let a(q) = 44*q - 9. Let u(g) = -2*a(g) + 9*y(g). Let m(z) = -z. Calculate u(m(n)).
-11*n
Let y(h) = -h. Let i(s) be the first derivative of 1 - 5/2*s**2 + 0*s. Determine y(i(d)).
5*d
Let b(h) = h + 6. Let y(n) = n + 5. Let i(f) = -4*b(f) + 5*y(f). Let d(r) = 2*r. Calculate d(i(k)).
2*k + 2
Let v(m) = -m + 3*m - m. Let t(c) = 17*c**2 - 8*c**2 - 8*c**2. Determine v(t(q)).
q**2
Let c(u) be the first derivative of 9*u**2/2 + 7. Let b(z) = -z**2. Give b(c(h)).
-81*h**2
Let l(v) = 5*v - 10. Let p(g) = 11*g + 1. Calculate l(p(s)).
55*s - 5
Let x(g) be the first derivative of -4*g**2 + 1. Let s(h) = h**2. Let m(k) = -5*k**2. Let q(w) = m(w) + 4*s(w). Give q(x(f)).
-64*f**2
Let a(w) = 296*w. Let c(p) = 8*p**2. What is c(a(i))?
700928*i**2
Let d(b) be the third derivative of -b**7/630 - b**4/24 - b**2. Let p(z) be the second derivative of d(z). Let k(w) = -4*w**2. Give k(p(m)).
-64*m**4
Let z(t) = -2*t. Let x(c) = -2*c**2 + 187. Determine z(x(y)).
4*y**2 - 374
Let q(v) = -523*v**2 - v. Let i(y) = -2*y. Determine i(q(k)).
1046*k**2 + 2*k
Let m(l) be the first derivative of 0*l**2 + 0*l + 3 + 4/3*l**3. Let u(z) = z**2 - 4*z**2 + 2*z**2. Calculate u(m(t)).
-16*t**4
Let t(j) = -2*j. Let f(x) = 1382*x**2. What is t(f(i))?
-2764*i**2
Suppose 4*c - 4*b = 5 + 19, 0 = b + 4. Let j(d) be the second derivative of -2*d + 0*d**c + 1/6*d**3 + 0. Let w(q) = -5*q. What is j(w(i))?
-5*i
Let v(r) = 3*r. Let f(o) = 3*o + 2*o - 6*o + 5*o. Give v(f(m)).
12*m
Let i(p) = p. Let u(y) = 4*y**2 - 2*y - 2. Let l(k) = k**2 - k - 1. Let w(d) = 6*l(d) - 3*u(d). Give i(w(g)).
-6*g**2
Let s(v) = -5*v**2. Let p(l) be the first derivative of 15*l**2/2 - 28. Determine s(p(t)).
-1125*t**2
Let m(n) = -95*n**2 + n. Let g(q) = 6*q**2. Calculate m(g(v)).
-3420*v**4 + 6*v**2
Let h(f) = -6*f + 3. Let v(l) = -l**2 + 6*l. Let p(j) = 2*j**2 - 11*j. Let i(n) = -6*p(n) - 11*v(n). Determine i(h(b)).
-36*b**2 + 36*b - 9
Let l(m) = -m**2. Let q(k) be the third derivative of 0 + 0*k**3 + 1/30*k**5 + 0*k**4 + k**2 + 0*k. What is q(l(s))?
2*s**4
Let q(a) = -27*a. Let c(j) be the third derivative of j**5/60 - 12*j**2. Calculate q(c(i)).
-27*i**2
Let b = 2 - -8. Let s(r) = 10 - b + 2*r**2. Let v(g) = -3*g**2. Give s(v(t)).
18*t**4
Let k(v) = 9*v - 6. Let i(q) = q - 1. Let b(z) = 6*i(z) - k(z). Let l(w) = -w**2 - 2*w**2 + 4*w**2. What is l(b(u))?
9*u**2
Let b(u) = 3*u. Let p(a) = 227*a**2 + 2*a - 11. What is p(b(m))?
2043*m**2 + 6*m - 11
Let c(i) = -134*i**2. Let k(u) = 23*u. Give k(c(m)).
-3082*m**2
Let i(u) = 2*u. Let c(q) be the first derivative of 0*q + 0*q**4 + 1/30*q**5 - 3/2*q**2 + 3 + 0*q**3. Let k(l) be the second derivative of c(l). Give k(i(f)).
8*f**2
Let u(v) = -2*v - 4. Let w(n) = n + 6. Let t(s) = s + 5. Let y(c) = 5*t(c) - 4*w(c). Let a(h) = u(h) + 4*y(h). Let k(g) = g**2. What is k(a(o))?
4*o**2
Let q(f) = -1975*f - 1. Let p(j) = 3*j**2. Determine p(q(h)).
11701875*h**2 + 11850*h + 3
Let q(v) = 4*v + v - 17*v. Let j(s) = -17*s**2 + 13*s - 13. Let n(d) = -8*d**2 + 6*d - 6. Let a(k) = -6*j(k) + 13*n(k). What is a(q(x))?
-288*x**2
Let d(x) = 4*x**2. Let k(h) = 74*h + 1. What is d(k(o))?
21904*o**2 + 592*o + 4
Let w(p) = -17*p - 7. Let r(h) = 8*h + 3. Suppose 13 = -5*q - 22. Let y(a) = q*r(a) - 3*w(a). Let z(o) = 2*o. What is y(z(b))?
-10*b
Let z(i) = -140*i - 5. Let d(x) = -x**2. What is z(d(q))?
140*q**2 - 5
Let k(b) = -3*b**2. Let t(l) = -l - 100. Give k(t(g)).
-3*g**2 - 600*g - 30000
Let d(p) = -132*p**2 + 12*p. Let b(i) = i**2. Calculate d(b(t)).
-132*t**4 + 12*t**2
Let l(x) = -2*x - 3. Let n(r) = -5*r**2. Determine l(n(s)).
10*s**2 - 3
Let b(g) = 1. Let w(l) = -l - 3. Let a(i) = 3*b(i) + w(i). Let h(m) be the first derivative of -m**3 - 1. Determine h(a(s)).
-3*s**2
Let i(a) = -2*a. Let h(n) = n + 3. Let z(u) = -u - 2. Suppose 4*b + 11 = -c, -b = 2*b + 5*c + 21. Let x(f) = b*h(f) - 3*z(f). Give x(i(r)).
-2*r
Let k(c) = -2*c**2. Let b(f) be the second derivative of 1/6*f**3 + 2*f + 0 + 0*f**2. What is k(b(l))?
-2*l**2
Let o(h) = -61*h**2. Let q(d) be the third derivative of -d**4/12 + 25*d**2. Determine q(o(j)).
122*j**2
Let w(s) = -5*s - 8*s - 7*s + 4*s. Let d(f) = -2*f. What is w(d(j))?
32*j
Let s(t) = 1 + 5*t - 1. Let z(p) be the third derivative of p**4/24 + 6*p**2. Give z(s(u)).
5*u
Let g(o) = -2615*o. Let y(t) = -t**2. Determine y(g(u)).
-6838225*u**2
Let c(d) = -d**2. Let q(x) = -x - 3. Let y be q(-6). Let n(j) = -y*j**2 + 3*j - 3*j + 0*j**2. Give n(c(u)).
-3*u**4
Let l(m) = m**2 - 4*m + 4. Let s be l(4). Suppose -s*t = 5*h - 16, 5 = -5*h + 2*t - 3. Let d(z) = h*z - z - z. Let c(r) = -2*r**2. Give d(c(u)).
4*u**2
Let t(d) = 2*d**2 + 4*d - 4*d. Let i(g) be the second derivative of 0 - 1/12*g**4 + 0*g**2 + 3*g + 0*g**3. Calculate t(i(n)).
2*n**4
Let p(g) = 6*g - 26. Let i(y) = -1. Let c(o) = 156*i(o) - 6*p(o). Let f(z) = -z. What is f(c(x))?
36*x
Let t(c) = 3*c. Suppose x + 0 = -3. Let b(l) = 5*l - 3. Let i(u) = -26*u + 16. Let y(q) = x*i(q) - 16*b(q). Determine t(y(o)).
-6*o
Suppose 3*d + 0 = 3. Let a be (2 - 5) + (d - -26). Let x(y) = -a*y + 2*y**2 + 24*y. Let q(u) = -2*u**2. Calculate x(q(f)).
8*f**4
Let o(p) = -p - 1 - 1 + 2. Let l(k) be the third derivative of -k**6/360 + k**3/3 + k**2. Let v(h) be the first derivative of l(h). What is o(v(j))?
j**2
Let u(p) = p. Let c be 2/(-2) - 1 - 16. Let g(v) = v**2 - v. Let o(n) = -21*n**2 + 18*n. Let y(i) = c*g(i) - o(i). Give y(u(k)).
3*k**2
Suppose 12*n = 11*n + 3. Let b(f) be the first derivative of 1/2*f**2 - n + 0*f. Let x(p) = -7*p. Give x(b(m)).
-7*m
Let v(r) = -r - r - 4*r + 5*r. Let d(l) = l - 2. Let w(i) = 9 + i - 4*i + 0*i + 0*i. Let m(p) = 9*d(p) + 2*w(p). What is v(m(c))?
-3*c
Let n(u) be the third derivative of -u**5/120 - u**3/6 + 3*u**2. Let o(z) be the first derivative of n(z). Let m(p) = 2*p. Give o(m(w)).
-2*w
Let x(b) = -3*b**2. Let h(q) be the third derivative of 17*q**5/60 + 10*q**2. Calculate h(x(y)).
153*y**4
Let r(v) be the first derivative of v**2 - 2. Let u(s) = 8*s. Determine r(u(c)).
16*c
Let d(s) = 2*s. Let x(j) = 656*j**2. What is x(d(v))?
2624*v**2
Let m(r) = 4*r. Let n be -1 + (3/(-1))/(-3). Let u(f) = n*f + 0*f + 3*f. Determine u(m(q)).
12*q
Let v(r) = -435*r. Let t(j) = 4*j. Give t(v(n)).
-1740*n
Let i(b) = b**2. Let u(l) = -11*l**2 + 5*l. Let m(w) = -6*w**2 + 2*w. Let h(z) = -5*m(z) + 2*u(z). Determine i(h(t)).
64*t**4
Suppose 6*g - 9*g + 6 = 0. Let z(m) = 19 - 19 - g*m. Let h(r) = r. Give h(z(a)).
-2*a
Let r(l) = l**3 - l**2 - l. Suppose -4*c + 2 = -6. Let n be r(c). Let q(d) = 0*d**n - d**2 + 2*d**2. Let g(z) = z**2. Calculate q(g(s)).
s**4
Let j(k) = -k**2. Let x(d) = 3*d**2 - 6. Let b(v) = 1. Let p(i) = 6*b(i) + x(i). Determine j(p(h)).
-9*h**4
Let w(s) = 176*s**2 - 32*s. Let d(a) = 27*a**2 - 5*a. Let u(z) = -32*d(z) + 5*w(z). Let o(p) = 4*p**2. Determine u(o(m)).
256*m**4
Let y(m) = -2*m. Let x(h) = -272*h**2. Calculate x(y(c)).
-1088*c**2
Let g(v) = 2*v**2 + v**2 - v**2. Let k(q) be the first derivative of 0*q**2 + 0*q - 3 + 2/3*q**3. Determine k(g(s)).
8*s**4
Let f(k) = 3*k + k - 4*k - 2*k. Let l(q) = -12*q**2. Give l(f(n)).
-48*n**2
Let u(x) = -2*x. Let f(o) = -13*o + 11. What is f(u(r))?
26*r + 11
Let w(b) = b - 4. Let u be w(9). Let a(y) = u - 4*y - 5. Let r(j) = j. Calculate a(r(o)).
-4*o
Let b(l) = 7*l**2. Let n(f) = f**2 - 83. Calculate n(b(h)).
49*h**4 - 83
Let q(y) = -2*y - 4. Let t(v) be the second derivative of -v**3/2 - 5*v**2/2 - 3*v. Let w(p) = 5*q(p) - 4*t(p). Let o(g) = -4*g**2. Calculate w(o(a)).
-8*a**2
Let s(w) = w**2. Let u(b) be the third derivative of -b**4/8 - b**2. Determine s(u(f)).
9*f**2
Let l(t) = -t**2. Let g(i) = 2*i**2 + 322. Give l(g(f)).
-4*f**4 - 1288*f**2 - 103684
Let a(r) = -5*r. Let i(q) = -537*q**2 + 3*q. Calculate a(i(t)).
2685*t**2 - 15*t
Let n(u) = u**2 + 3*u - 2. Let o be n(-4). Let l(s) = -o*s**2 + 2*s**2 - 2*s**2. Let h(i) be the first derivative of -i**2 - 3. Calculate h(l(d)).
4*d**2