1. \\(g\_E(5,3)=\mathrm{false}\\), \\(g\_F(5,3)=2\\).
2. \\(g\_E(3,5)=\mathrm{true}\\), \\(f\_F(3,5)=-2\\).
3. \\(h(5,\mathrm{true})=5\\).
4. \\(h(-5,\mathrm{true})=-5\\).
5. \\(h(-5,\mathrm{false})=6\\).

\\(\\)

1. \\(q\_G(-2,3)=2\\), \\(q\_F(-2,3)=-13\\).
2. \\(q\_G(2,3)=-1\\), \\(q\_F(2,3)=7\\).

In general, \\(q\_G(a,b)=\begin{cases}\lvert a\rvert\,\,\text{if}\,5a\leq b\\\\1-\lvert a\rvert\,\,\text{otherwise}\end{cases}\\) and \\(q\_F(a,b)=5a-b\\).