. Calculate f(c(a)).
-78400*a**2
Let g(u) be the third derivative of u**4/6 - 167*u**2. Let j(l) be the third derivative of -l**4/24 - l**2. What is g(j(f))?
-4*f
Let f(c) = 2*c. Suppose 53 = 17*d - 83. Let p(j) = 3*j**3 + j**2 + j - 1. Let v be p(1). Let y(a) = v*a**2 + 7*a**2 - d*a**2. Give y(f(i)).
12*i**2
Let x(b) = -b**2. Let j(s) = 143*s**2 - 16. Determine j(x(r)).
143*r**4 - 16
Let m(s) be the first derivative of 9*s**2/2 - s - 22. Let a(c) = -3*c. Calculate m(a(t)).
-27*t - 1
Let c(f) = -2*f. Let r(h) be the third derivative of -2*h**2 - 1/60*h**5 + 0*h + 0 + 0*h**3 + 0*h**4. Calculate c(r(z)).
2*z**2
Let m(k) = 651*k**2. Let p(t) = -8*t**2. What is p(m(z))?
-3390408*z**4
Suppose 0 = -q - 0*s + 5*s + 1, -3*q - 3*s = -3. Let o(x) be the first derivative of -3/2*x**2 + 0*x - q. Let m(r) = -r. What is m(o(i))?
3*i
Let a(r) = -r**2. Let w(j) = -j + 1. Let v(s) = -s - 3. Let t(u) = -5*v(u) - 15*w(u). Calculate t(a(i)).
-20*i**2
Let s(w) be the second derivative of w**4/12 - w + 36. Let i(y) = -126*y. Give s(i(u)).
15876*u**2
Let k = 5 + -1. Let s(o) = -4*o**3 + o + 1. Let g be s(-1). Let r(i) = 4 - 2*i - k + g*i. Let x(v) = -3*v**2. Calculate r(x(h)).
-6*h**2
Let f(j) = -35*j. Let m(x) be the third derivative of x**5/60 - 13*x**2. Determine f(m(k)).
-35*k**2
Let h(v) = v + 4*v - 2*v - 4*v. Let s(q) = -5*q - 3. Let n(b) = -11*b - 7. Let j(d) = -3*n(d) + 7*s(d). Give h(j(p)).
2*p
Let r(c) = 2*c + 4. Let f(k) = 3*k + 7. Let u(v) = -4*f(v) + 7*r(v). Let o(x) = 17*x. What is u(o(t))?
34*t
Let c(y) = y. Let a(o) = -1335*o + 1. Calculate c(a(f)).
-1335*f + 1
Let a(i) = -2*i**2. Let k(n) = -n - 3. Let z(p) = -p - 2. Suppose 3*l - 8 + 2 = 0. Let b(w) = l*k(w) - 3*z(w). Determine b(a(q)).
-2*q**2
Let k(j) = -4 + 0 + 7*j + 4. Let t(d) = -2*d. Give k(t(h)).
-14*h
Let v(m) = m**2. Let x(n) = -9*n**2. Calculate v(x(i)).
81*i**4
Let v(d) = -1335*d. Let h(t) = -4*t**2. Determine v(h(g)).
5340*g**2
Let p(y) = y. Let l(j) = -12*j. Let r(m) = l(m) + 10*p(m). Let f(q) be the second derivative of q**3/3 + 15*q. Determine f(r(a)).
-4*a
Let s = 23 - 20. Let v(r) be the second derivative of 1/12*r**4 + 0*r**3 + 0 + 0*r**2 - s*r. Let n(j) = -4*j**2. Determine v(n(b)).
16*b**4
Let r(h) = 42*h**2. Let a(s) = -2*s**2 + 95. Give r(a(l)).
168*l**4 - 15960*l**2 + 379050
Let d(s) = -s + 14. Let t be d(0). Suppose -3*a = o - t, -4*a = -2*o + o - 14. Let u(r) = 2*r - 2*r + o*r. Let l(k) = 4*k**2. Calculate u(l(g)).
8*g**2
Let v(g) = 23*g**2. Let w(d) = -39*d. Give w(v(n)).
-897*n**2
Let q(x) = x**2 - 6*x - 4. Let u be q(7). Let s(a) be the second derivative of -u*a + 1/6*a**4 + 0*a**2 + 0*a**3 + 0. Let i(n) = -2*n. What is i(s(y))?
-4*y**2
Let q(s) = -s**2 + 3*s + 1. Let l be q(4). Let y(x) = -2. Let r(n) = n - 3. Let f(a) = l*y(a) + 2*r(a). Let g(t) = 7*t. What is f(g(d))?
14*d
Let z(h) = -4*h**2 + 0*h**2 + 0*h**2. Let d(t) = t**2 + 1. Let r(k) = 4*k**2 + 3. Let g(s) = -3*d(s) + r(s). Give g(z(f)).
16*f**4
Suppose 0*b + 45 = 5*b. Let o = 69 - 64. Let x(k) = -3*k - o*k + b*k. Let y(d) = d**2. Give y(x(q)).
q**2
Let g(f) = f + 42. Let q(l) = 53*l. Determine g(q(v)).
53*v + 42
Let a(l) = -22*l**2. Let i(t) = -t - 1. Let f(u) = 5*u + 6. Let v(p) = f(p) + 6*i(p). Give a(v(m)).
-22*m**2
Let w(k) = 101*k**2. Let r(c) be the third derivative of c**5/60 + 2*c**2. Determine r(w(a)).
10201*a**4
Let x(z) = 3*z + 0*z + 0*z. Let n(b) = 5*b**2 + 3*b**2 - 9*b**2. Calculate n(x(l)).
-9*l**2
Let x(g) be the second derivative of 5*g + 0*g**2 - 1/6*g**3 + 0. Let y(a) = 2*a. What is y(x(u))?
-2*u
Let v(q) = -3*q**2 - 3*q. Let i(a) = -4*a**2 - 2*a. Let d(w) = w**2 - 4*w - 3. Let y be d(5). Let k(l) = y*v(l) - 3*i(l). Let u(f) = 2*f. Give u(k(m)).
12*m**2
Let v(h) = 6*h. Let o(r) be the second derivative of -2*r**3/3 + 4*r. What is v(o(y))?
-24*y
Let n(w) = 3*w + 12. Let h(v) = v + 5. Let a(l) = -12*h(l) + 5*n(l). Let g(k) = k**2. Give g(a(z)).
9*z**2
Let l(y) be the second derivative of y**4/6 - 6*y. Let g(r) = 3*r. Calculate g(l(s)).
6*s**2
Let p(b) = 16*b**2. Let w(v) = 395*v**2 - 193*v**2 - 200*v**2. Calculate w(p(x)).
512*x**4
Let y(n) = -302*n + 1. Let c(a) = -a**2. Determine c(y(j)).
-91204*j**2 + 604*j - 1
Let q(a) = 16*a**2 - 6. Let x(p) = -50*p. Give q(x(c)).
40000*c**2 - 6
Let x(f) = -64*f**2. Let b(i) = -4*i**2. Determine b(x(d)).
-16384*d**4
Let g(j) = 7*j. Let v(b) = 12*b - 8*b - 2*b - 5*b. Calculate v(g(o)).
-21*o
Let u(c) = 182*c. Let k(t) = -8*t**2. Give k(u(b)).
-264992*b**2
Let s be 2*((-1)/2 - -2). Suppose 0*z = -4*d - 5*z + 21, 0 = -3*d + s*z + 9. Let g(l) = -4*l + d*l - l. Let q(u) = 5*u. What is g(q(v))?
-5*v
Suppose c - 4 = -1. Let l(t) = 5*t + 0*t - c*t. Let p(y) = -5*y**2. Calculate l(p(u)).
-10*u**2
Let d(f) be the first derivative of -f**4/6 + 3*f + 5. Let g(k) be the first derivative of d(k). Let x(r) = 2*r. What is g(x(h))?
-8*h**2
Let k(x) be the second derivative of 2*x + 0 + 0*x**2 + 1/3*x**3. Let p(r) = 24*r. Let v(u) = 8*u. Let n(q) = -6*p(q) + 17*v(q). Determine n(k(f)).
-16*f
Let u(l) = 862*l. Let t(m) = 16*m. Calculate u(t(c)).
13792*c
Let u(s) = s**2 + s + 1. Let g(h) = 2*h**2 + 3*h + 3. Let r(c) = g(c) - 3*u(c). Let p(z) = 8*z. Determine r(p(y)).
-64*y**2
Let t(j) = -58*j**2. Let k(w) = -11*w. Calculate k(t(b)).
638*b**2
Let x(z) = 334*z**2. Let u(k) = 6*k**2. What is x(u(w))?
12024*w**4
Let m(k) = 4*k**2 - 6. Let c(d) = -1. Let f(t) = -6*c(t) + m(t). Let s(q) be the third derivative of q**4/12 + q**2. Give f(s(w)).
16*w**2
Let o(w) = -442*w + 442*w - 11*w**2. Let i(k) = -3*k**2. Calculate i(o(v)).
-363*v**4
Suppose 4*i - i + 6 = 0. Let s(j) = -9*j**2 - 21. Let w(n) = n**2 + 2. Let y(a) = i*s(a) - 21*w(a). Let k(f) = -2*f. What is y(k(x))?
-12*x**2
Let r(k) = 4*k**2. Let l be (1*(2 + -3))/(-1). Let t(p) = l - 6 - p + 5. What is r(t(i))?
4*i**2
Let h(k) = 6*k. Let m(o) = 78*o**2 - 2. Determine h(m(b)).
468*b**2 - 12
Let d(r) = 2*r. Let f(a) be the second derivative of a**4/12 + 19*a. Determine f(d(b)).
4*b**2
Let j(w) = 3*w - 4*w + w - w. Let k(i) = -15*i. Let l(s) = 5*s. Let g(o) = -2*k(o) - 7*l(o). What is g(j(n))?
5*n
Let t(m) = -35*m - 4. Let y(f) = 806*f + 93. Let k(q) = -93*t(q) - 4*y(q). Let a(v) = -2*v**2. Give k(a(r)).
-62*r**2
Let q = 37 + -13. Let f(c) = -24*c + c**2 + q*c. Let s(n) = 2*n**2. What is s(f(i))?
2*i**4
Let g(r) be the third derivative of r**4/12 - 3*r**2. Let m(v) be the first derivative of 0*v**2 + 2 - v**2 + 0*v**2. Calculate g(m(k)).
-4*k
Let h(y) = 4*y. Let t(v) = 100*v. What is t(h(x))?
400*x
Let u(h) = 6*h + 5. Let j(v) = 5*v + 4. Let m(l) = -5*j(l) + 4*u(l). Let o(r) = 3*r**2. What is m(o(c))?
-3*c**2
Let p(n) = 10*n**2. Let i(u) = 22*u**2. Determine i(p(o)).
2200*o**4
Let v(m) = 2*m. Suppose q - 2 = -t, 3*t = -5*q + 7*t - 8. Let j(y) be the third derivative of 0 + 1/60*y**5 + 0*y**3 - y**2 + q*y**4 + 0*y. Give v(j(p)).
2*p**2
Let m(l) = -73*l**2 - 3*l. Let i(u) = -10*u. What is m(i(q))?
-7300*q**2 + 30*q
Let n(o) = 12*o**2. Let z(f) = 24*f - 2 + 2 - 25*f. What is n(z(h))?
12*h**2
Let f(a) = a. Let h be 9/(-18) + 10/4. Let x(q) = -q**2 - 5*q - 2. Let j be x(-2). Let y(g) = -j*g**2 + 3*g**2 + 3*g**h. Calculate f(y(c)).
2*c**2
Let c(s) = -3*s. Let i = -42/13 - -517/156. Let g(j) be the third derivative of -i*j**4 + 0*j**3 + 2*j**2 + 0*j + 0. What is c(g(q))?
6*q
Let q(r) = -r**2. Let a(o) = 833*o**2. What is a(q(g))?
833*g**4
Let f(g) = -18*g. Let t(h) = -14*h**2 - 8*h. Let u(i) = 5*i**2 + 3*i. Let s(m) = 3*t(m) + 8*u(m). What is s(f(w))?
-648*w**2
Let a(m) = 2*m**2. Let o(f) = 9*f**2. Let u(y) = 3*y**2. Let r(i) = 4*o(i) - 11*u(i). What is r(a(g))?
12*g**4
Let f = 11 + -7. Suppose -d + g = -3, g = 2*d - 6 - 4. Let c(i) = -7*i + d*i - f*i**2. Let t(b) = -b**2. Calculate t(c(y)).
-16*y**4
Let m(l) = -l. Let i(d) = -8*d**2 + 10*d**2 + 19*d**2. Determine i(m(t)).
21*t**2
Let f(w) = -867*w. Let s(n) = n**2. Give f(s(v)).
-867*v**2
Let c(x) = 1427*x + 3. Let a(p) = -p. Determine a(c(q)).
-1427*q - 3
Let y(v) = -4*v + 3. Let h(a) = -3*a + 2. Suppose -3*m - m = 12. Let l(x) = m*h(x) + 2*y(x). Let p(g) = 3*g. Determine l(p(z)).
3*z
Let c(l) = l. Let d(v) = -1870*v. Determine d(c(i)).
-1870*i
Let r(b) = -3*b**2 + 3*b + 3*b - 6*b. Let k(w) = -8*w**2. Determine r(k(d)).
-192*d**4
Let x(h) = 2*h**2. Let q(w) = -21*w + 6. Give x(q(u)).