Seattle Mariners First-Place Eliminiation Scenario
Seattle must win 22 more games (34 total) to avoid elimination from first place.
Here are the final standings in a scenario in which Seattle finishes in first place with 34 wins:

Team             W	L	PCT	GB
Seattle          34	128	0.210	0.00
Houston          34	128	0.210	0.00
Los Angeles      34	128	0.210	0.00
Texas            34	128	0.210	0.00
Oakland          33	129	0.204	1.00

Tie breakers
Seattle wins the series with Houston 7 games to 6
Seattle wins the series with Los Angeles 7 games to 6
Seattle wins the series with Texas 7 games to 6

To construct the scenario, we start with the current standings in the division:
Team             W	L	GL	PCT	GB
Texas            13	12	137	0.520	0.0
Seattle          12	12	138	0.500	0.5
Los Angeles      10	15	137	0.400	3.0
Oakland          9	16	137	0.360	4.0
Houston          7	18	137	0.280	6.0

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

Houston currently has 0 win(s) against Los Angeles and 0 loss(es).
Houston wins 6 additional game(s) against Los Angeles and loses 7.
Houston loses the series 6 games to 7.
Houston wins 0 additional game(s) against teams outside the division and loses 92.

Houston currently has 0 win(s) against Oakland and 0 loss(es).
Houston wins 9 additional game(s) against Oakland and loses 4.
Houston wins the series 9 games to 4.
Houston wins 0 additional game(s) against teams outside the division and loses 92.

Houston currently has 0 win(s) against Seattle and 0 loss(es).
Houston wins 6 additional game(s) against Seattle and loses 7.
Houston loses the series 6 games to 7.
Houston wins 0 additional game(s) against teams outside the division and loses 92.

Houston currently has 4 win(s) against Texas and 3 loss(es).
Houston wins 6 additional game(s) against Texas and loses 0.
Houston wins the series 10 games to 3.
Houston wins 0 additional game(s) against teams outside the division and loses 92.

Los Angeles currently has 0 win(s) against Oakland and 0 loss(es).
Los Angeles wins 11 additional game(s) against Oakland and loses 2.
Los Angeles wins the series 11 games to 2.
Los Angeles wins 0 additional game(s) against teams outside the division and loses 85.

Los Angeles currently has 0 win(s) against Seattle and 0 loss(es).
Los Angeles wins 6 additional game(s) against Seattle and loses 7.
Los Angeles loses the series 6 games to 7.
Los Angeles wins 0 additional game(s) against teams outside the division and loses 85.

Los Angeles currently has 0 win(s) against Texas and 0 loss(es).
Los Angeles wins 0 additional game(s) against Texas and loses 13.
Los Angeles loses the series 0 games to 13.
Los Angeles wins 0 additional game(s) against teams outside the division and loses 85.

Oakland currently has 0 win(s) against Seattle and 0 loss(es).
Oakland wins 11 additional game(s) against Seattle and loses 2.
Oakland wins the series 11 games to 2.
Oakland wins 0 additional game(s) against teams outside the division and loses 88.

Oakland currently has 2 win(s) against Texas and 1 loss(es).
Oakland wins 7 additional game(s) against Texas and loses 3.
Oakland wins the series 9 games to 4.
Oakland wins 0 additional game(s) against teams outside the division and loses 88.

Seattle currently has 1 win(s) against Texas and 1 loss(es).
Seattle wins 6 additional game(s) against Texas and loses 5.
Seattle wins the series 7 games to 6.
Seattle wins 0 additional game(s) against teams outside the division and loses 88.

# Seattle Mariners' magic number
# Seattle's magic number
# Mariners' magic number
# MLB Playoff Race