
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 Shouters are coached by Coach Loudso. The Shouters have 15 players, but three of them, Tim, Tom, and Kim, refuse to play together. Additionally, the starting lineup must include at least one of either Tim or Tom. How many starting lineups (of 5 players) can Coach Loudso make, given these conditions? (The order of the 5 players in the lineup does not matter; two lineups are the same if they consist of the same 5 players.)

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