
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
Every team plays every other conference team three times. The number of ways a team can play another team is $\binom{10}{2} = 45$. However, this counts each pair of teams playing three times, resulting in $45 \cdot 3 = 135$ games amongst the conference teams.

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