Tampa Bay Rays First-Place Eliminiation Scenario
Tampa Bay must win 25 more games (35 total) to avoid elimination from first place.
Here are the final standings in a scenario in which Tampa Bay finishes in first place with 35 wins:

Team             W	L	PCT	GB
Tampa Bay        35	127	0.216	0.00
Toronto          35	127	0.216	0.00
Boston           35	127	0.216	0.00
New York         35	127	0.216	0.00
Baltimore        34	128	0.210	1.00

Tie breakers
Tampa Bay wins the series with Boston 9 games to 4
Tampa Bay wins the series with New York 7 games to 6
Tampa Bay wins the series with Toronto 7 games to 6

To construct the scenario, we start with the current standings in the division:
Team             W	L	GL	PCT	GB
New York         13	6	143	0.684	0.0
Baltimore        12	6	144	0.667	0.5
Boston           10	9	143	0.526	3.0
Tampa Bay        10	9	143	0.526	3.0
Toronto          10	9	143	0.526	3.0

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

Baltimore currently has 3 win(s) against Boston and 0 loss(es).
Baltimore wins 0 additional game(s) against Boston and loses 10.
Baltimore loses the series 3 games to 10.
Baltimore wins 0 additional game(s) against teams outside the division and loses 95.

Baltimore currently has 0 win(s) against New York and 0 loss(es).
Baltimore wins 0 additional game(s) against New York and loses 13.
Baltimore loses the series 0 games to 13.
Baltimore wins 0 additional game(s) against teams outside the division and loses 95.

Baltimore currently has 0 win(s) against Tampa Bay and 0 loss(es).
Baltimore wins 10 additional game(s) against Tampa Bay and loses 3.
Baltimore wins the series 10 games to 3.
Baltimore wins 0 additional game(s) against teams outside the division and loses 95.

Baltimore currently has 0 win(s) against Toronto and 0 loss(es).
Baltimore wins 12 additional game(s) against Toronto and loses 1.
Baltimore wins the series 12 games to 1.
Baltimore wins 0 additional game(s) against teams outside the division and loses 95.

Boston currently has 0 win(s) against New York and 0 loss(es).
Boston wins 10 additional game(s) against New York and loses 3.
Boston wins the series 10 games to 3.
Boston wins 1 additional game(s) against teams outside the division and loses 93.

Boston currently has 0 win(s) against Tampa Bay and 0 loss(es).
Boston wins 4 additional game(s) against Tampa Bay and loses 9.
Boston loses the series 4 games to 9.
Boston wins 1 additional game(s) against teams outside the division and loses 93.

Boston currently has 0 win(s) against Toronto and 0 loss(es).
Boston wins 0 additional game(s) against Toronto and loses 13.
Boston loses the series 0 games to 13.
Boston wins 1 additional game(s) against teams outside the division and loses 93.

New York currently has 0 win(s) against Tampa Bay and 0 loss(es).
New York wins 6 additional game(s) against Tampa Bay and loses 7.
New York loses the series 6 games to 7.
New York wins 0 additional game(s) against teams outside the division and loses 97.

New York currently has 3 win(s) against Toronto and 3 loss(es).
New York wins 0 additional game(s) against Toronto and loses 7.
New York loses the series 3 games to 10.
New York wins 0 additional game(s) against teams outside the division and loses 97.

Tampa Bay currently has 2 win(s) against Toronto and 2 loss(es).
Tampa Bay wins 5 additional game(s) against Toronto and loses 4.
Tampa Bay wins the series 7 games to 6.
Tampa Bay wins 1 additional game(s) against teams outside the division and loses 94.

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