Tampa Bay Rays First-Place Eliminiation Scenario
Tampa Bay must win 27 more games (27 total) to avoid elimination from first place.
Here are the final standings in a scenario in which Tampa Bay finishes in first place with 27 wins:

Team             W	L	PCT	GB
Tampa Bay        27	135	0.167	0.00
Baltimore        26	136	0.160	1.00
Toronto          26	136	0.160	1.00
Boston           26	136	0.160	1.00
New York         26	136	0.160	1.00

To construct the scenario, we start with the current standings in the division:
Team             W	L	GL	PCT	GB
Baltimore        0	0	162	0.000	0.0
Boston           0	0	162	0.000	0.0
New York         0	0	162	0.000	0.0
Tampa Bay        0	0	162	0.000	0.0
Toronto          0	0	162	0.000	0.0

Next, we show how the remaining series of games plays out in the scenario:

Baltimore currently has 0 win(s) against Boston and 0 loss(es).
Baltimore wins 12 additional game(s) against Boston and loses 1.
Baltimore wins the series 12 games to 1.
Baltimore wins 0 additional game(s) against teams outside the division and loses 110.

Baltimore currently has 0 win(s) against New York and 0 loss(es).
Baltimore wins 7 additional game(s) against New York and loses 6.
Baltimore wins the series 7 games to 6.
Baltimore wins 0 additional game(s) against teams outside the division and loses 110.

Baltimore currently has 0 win(s) against Tampa Bay and 0 loss(es).
Baltimore wins 6 additional game(s) against Tampa Bay and loses 7.
Baltimore loses the series 6 games to 7.
Baltimore wins 0 additional game(s) against teams outside the division and loses 110.

Baltimore currently has 0 win(s) against Toronto and 0 loss(es).
Baltimore wins 1 additional game(s) against Toronto and loses 12.
Baltimore loses the series 1 games to 12.
Baltimore wins 0 additional game(s) against teams outside the division and loses 110.

Boston currently has 0 win(s) against New York and 0 loss(es).
Boston wins 13 additional game(s) against New York and loses 0.
Boston wins the series 13 games to 0.
Boston wins 0 additional game(s) against teams outside the division and loses 110.

Boston currently has 0 win(s) against Tampa Bay and 0 loss(es).
Boston wins 6 additional game(s) against Tampa Bay and loses 7.
Boston loses the series 6 games to 7.
Boston wins 0 additional game(s) against teams outside the division and loses 110.

Boston currently has 0 win(s) against Toronto and 0 loss(es).
Boston wins 6 additional game(s) against Toronto and loses 7.
Boston loses the series 6 games to 7.
Boston wins 0 additional game(s) against teams outside the division and loses 110.

New York currently has 0 win(s) against Tampa Bay and 0 loss(es).
New York wins 8 additional game(s) against Tampa Bay and loses 5.
New York wins the series 8 games to 5.
New York wins 0 additional game(s) against teams outside the division and loses 110.

New York currently has 0 win(s) against Toronto and 0 loss(es).
New York wins 12 additional game(s) against Toronto and loses 1.
New York wins the series 12 games to 1.
New York wins 0 additional game(s) against teams outside the division and loses 110.

Tampa Bay currently has 0 win(s) against Toronto and 0 loss(es).
Tampa Bay wins 7 additional game(s) against Toronto and loses 6.
Tampa Bay wins the series 7 games to 6.
Tampa Bay wins 1 additional game(s) against teams outside the division and loses 109.

# Tampa Bay Rays' magic number
# Tampa Bay's magic number
# Rays' magic number
# MLB Playoff Race