$($a$)$ Is A $->$ B satisfiable?

$($b$)$ Is $($A $$ A$)($B $$ B$)$ satisfiable?

$($c$)$ Is X $->$ X a contradiction?

$($d$)$ Is $$ A $->($A $$ B$)$ a tautology?

$($e$)$ Is $$ A $->($A $$ B$)$ a contingency?

$($f$)$ Is $($A $->$ B$)($C $$ B$)->$ A $->$ C a tautology?

$($g$)$ Is $($A $->$ B$)($C $$ B$)->$ A $->$ C satisfiable?

$($h$)$ Is $($A $->$ B$)($C $$ B$)->$ A $->$ C a contingency?

$($i$)$ Is $($A $->$ B$)->($ A $->$ B$)$ a contradiction?

$($j$)$ Is $($A $->$ B$)->($ A $->$ B$)$ a tautology?

$($k$)$ Is $$ A $$

$($D $$ D$)->($B $$ B$)($C $->$ C$)$

satisfiable?