
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
In Moscow, a tennis tournament is being held. Each team consists of 3 players. Every team plays against every other team, and each participant from one team plays exactly one game against each participant from the other team. Due to time constraints, a maximum of 150 games can be played in the tournament. How many teams can participate in the tournament so that all games can be completed?

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