
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 a school, a dodgeball tournament was held. Each game was between two teams. A win awarded 15 points, a draw awarded 11 points, and a loss awarded no points. Each team played every other team exactly once. At the end of the tournament, it turned out that the total number of points scored was 1151. How many teams participated?

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