209

$122=7\cdot17+3$
$0\cdot17+3=3$
$122\equiv3\ \left(mod\ 17\right)$
$-14=-2\cdot9+4$
$0\cdot9+4=4$
$-14\equiv4\ \left(mod\ 9\right)$
$34\equiv13\ \left(mod\ n\right)$
$n=3$
$34=11\cdot3+1$
$13=4\cdot3+1$