I’ll start by saying that the Academic Progress Rate (APR) is a sham, and also that the Syracuse Orange’s football score (967) is well within the mark for postseason eligibility.
However, since the APR is also the mark that decides whether or not a 5-7 team could snag a bowl bid, we have to take it into consideration. That consideration says that Syracuse would be highly unlikely to make a bowl game if they finished 5-7 this year.
If you look at the updated APR rankings, the Orange are pretty far down the list, with 73 other FBS teams in front of them.