$($a$)$ L$=\{$a$^($n$)$b$^($j$)$:n $<=$ j$^(2)\}.($b$)$ L$=\{$a$^($n$)$b$^($j$)$:n $>=($j$-1)^(3)\}.($c$)$ L$=\{$a$^($n$)$b$^($j$)$c$^($k$)$:k$=$jn$\}.($d$)$ L$=\{$a$^($n$)$b$^($j$)$c$^($k$)$:k $>$ n$,$k $>$ j$\}.($e$)$ L$=\{$a$^($n$)$b$^($j$)$c$^($k$)$:n $<$ j$,$n $<=$ k $<=$ j$\}.($f$)$ L$=\{$w:n$\_($a$)($w$)=$n$\_($b$)($w$)**$n$\_($c$)($w$)\}.($g$)$ L$=\{$w in$\{$a$,$b$,$c$\}^(**)$:n$\_($a$)($w$)+$n$\_($b$)($w$)=2$n$\_($c$)($w$),$n$\_($a$)($w$)=$n$\_($b$)($w$)\}.($h$)$ L$=\{$a$^($n$)$b$^($m$)$:n:$\}$ and m are both prime $\}.($i$)$ L$=\{$a$^($n$)$b$^($m$)$:n:$\}$ is prime or m is prime $\}.($j$)$ L$=\{$a$^($n$)$b$^($m$)$:n:$\}$ is prime and m is not prime $\}.8.$ Determine whether or not the following languages are context free: $($a$)$ L$=\{$a$^($n$)$ww$^($R$)$b$^($n$)$:n $>=0,$w in$\{$a$,$b$\}^(**)\}.$