
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 Screamers are coached by Coach Quieter. The Screamers have 15 players, but three of them, Bob, Yogi, and Zane, refuse to play together in any combination. How many starting lineups (of 6 players) can Coach Quieter make, if the starting lineup cannot contain Bob, Yogi, and Zane playing together?

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