
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
The Howlers, coached by Coach Loudmouth, have 15 players. However, three of them, Leo, Max, and Neo, refuse to play together in any combination. How many starting lineups (of 6 players) can Coach Loudmouth make if the starting lineup cannot contain Leo, Max, and Neo playing together or any two of them playing together?

Present the answer in LaTex format: \boxed{Your answer}
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