
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
If the team had scored 97 points in the last sport, their average score for each sport would have been 90 points; if they had scored 73 points in the last sport, their average score for each sport would have been 87 points. How many sports did the team compete in?

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