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

Team             W	L	PCT	GB
Cincinnati       27	135	0.167	0.00
Chicago          26	136	0.160	1.00
Pittsburgh       26	136	0.160	1.00
St. Louis        26	136	0.160	1.00
Milwaukee        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
Chicago          1	0	161	1.000	0.0
Pittsburgh       1	0	161	1.000	0.0
Cincinnati       0	1	161	0.000	1.0
Milwaukee        0	1	161	0.000	1.0
St. Louis        0	1	161	0.000	1.0

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

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

Chicago currently has 1 win(s) against Milwaukee and 0 loss(es).
Chicago wins 6 additional game(s) against Milwaukee and loses 6.
Chicago wins the series 7 games to 6.
Chicago wins 0 additional game(s) against teams outside the division and loses 110.

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

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

Cincinnati currently has 0 win(s) against Milwaukee and 0 loss(es).
Cincinnati wins 0 additional game(s) against Milwaukee and loses 13.
Cincinnati loses the series 0 games to 13.
Cincinnati wins 1 additional game(s) against teams outside the division and loses 109.

Cincinnati currently has 0 win(s) against Pittsburgh and 1 loss(es).
Cincinnati wins 7 additional game(s) against Pittsburgh and loses 5.
Cincinnati wins the series 7 games to 6.
Cincinnati wins 1 additional game(s) against teams outside the division and loses 109.

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

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

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

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

# Cincinnati Reds' magic number
# Cincinnati's magic number
# Reds' magic number
# MLB Playoff Race