
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
During a special event at the Great Hitters ballpark, incentives are provided to the audience as follows:
- Every 60th fan entering receives a free hat.
- Every 40th fan entering receives a free t-shirt.
- Every 90th fan entering receives a free pair of gloves.
The stadium holds 3600 fans and was filled to its capacity for this event. How many fans received all three items?

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