
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
Given a baseball league consisting of two five-team divisions, where each team plays every other team in its division N games and each team plays every team in the other division M games with N > 2M and M > 4, and each team plays an 82 game schedule, determine the number of games a team plays within its own division.

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