Magic numbers, 9/15/2015

Saturday's results:

Boston 5, NY Yankees 1
Toronto 4, Baltimore 3
Tampa 7, Minnesota 0
Oakland 1, Texas 0
Kansas City 1, Detroit 0

If Boston wins 5 of their remaining 12 games (5-7, .417, 96 wins):

Tampa Bay must go 15-0 to tie
NY Yankees cannot tie
Baltimore cannot tie

Detroit must go 11-3 to tie
Oakland must go 9-5 to tie

AL East:

Any combination of Boston wins and Tampa Bay losses totaling 6 ensures that Boston finishes ahead of Tampa Bay
Any combination of Boston wins and NY Yankees losses totaling 2 ensures that Boston finishes ahead of NY Yankees
Any combination of Boston wins and Baltimore losses totaling 2 ensures that Boston finishes ahead of Baltimore

Best record in the AL:

Any combination of Boston wins and Detroit losses totaling 9 ensures that Boston finishes ahead of Detroit
Any combination of Boston wins and Oakland losses totaling 11 ensures that Boston finishes ahead of Oakland