Seattle Mariners First-Place Eliminiation Scenario
Seattle must win 11 more games (62 total) to avoid elimination from first place.
Here are the final standings in a scenario in which Seattle finishes in first place with 62 wins:

Team             W	L	PCT	GB
Seattle          62	100	0.383	0.00
Oakland          62	100	0.383	0.00
Houston          61	101	0.377	1.00
Los Angeles      61	101	0.377	1.00
Texas            60	102	0.370	2.00

Tie breakers
Seattle wins the series with Oakland 8 games to 5

To construct the scenario, we start with the current standings in the division:
Team             W	L	GL	PCT	GB
Houston          56	40	66	0.583	0.0
Seattle          51	45	66	0.531	5.0
Texas            48	49	65	0.495	8.5
Los Angeles      47	49	66	0.490	9.0
Oakland          41	57	64	0.418	16.0

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

Houston currently has 4 win(s) against Los Angeles and 2 loss(es).
Houston wins 5 additional game(s) against Los Angeles and loses 2.
Houston wins the series 9 games to 4.
Houston wins 0 additional game(s) against teams outside the division and loses 40.

Houston currently has 4 win(s) against Oakland and 2 loss(es).
Houston wins 0 additional game(s) against Oakland and loses 7.
Houston loses the series 4 games to 9.
Houston wins 0 additional game(s) against teams outside the division and loses 40.

Houston currently has 4 win(s) against Seattle and 3 loss(es).
Houston wins 0 additional game(s) against Seattle and loses 6.
Houston loses the series 4 games to 9.
Houston wins 0 additional game(s) against teams outside the division and loses 40.

Houston currently has 3 win(s) against Texas and 4 loss(es).
Houston wins 0 additional game(s) against Texas and loses 6.
Houston loses the series 3 games to 10.
Houston wins 0 additional game(s) against teams outside the division and loses 40.

Los Angeles currently has 7 win(s) against Oakland and 0 loss(es).
Los Angeles wins 0 additional game(s) against Oakland and loses 6.
Los Angeles wins the series 7 games to 6.
Los Angeles wins 0 additional game(s) against teams outside the division and loses 39.

Los Angeles currently has 2 win(s) against Seattle and 3 loss(es).
Los Angeles wins 8 additional game(s) against Seattle and loses 0.
Los Angeles wins the series 10 games to 3.
Los Angeles wins 0 additional game(s) against teams outside the division and loses 39.

Los Angeles currently has 2 win(s) against Texas and 5 loss(es).
Los Angeles wins 4 additional game(s) against Texas and loses 2.
Los Angeles loses the series 6 games to 7.
Los Angeles wins 0 additional game(s) against teams outside the division and loses 39.

Oakland currently has 3 win(s) against Seattle and 4 loss(es).
Oakland wins 2 additional game(s) against Seattle and loses 4.
Oakland loses the series 5 games to 8.
Oakland wins 0 additional game(s) against teams outside the division and loses 39.

Oakland currently has 5 win(s) against Texas and 2 loss(es).
Oakland wins 6 additional game(s) against Texas and loses 0.
Oakland wins the series 11 games to 2.
Oakland wins 0 additional game(s) against teams outside the division and loses 39.

Seattle currently has 7 win(s) against Texas and 2 loss(es).
Seattle wins 0 additional game(s) against Texas and loses 4.
Seattle wins the series 7 games to 6.
Seattle wins 1 additional game(s) against teams outside the division and loses 41.

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