
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 the local soccer team's championship match, the first 5000 seats in the stadium were filled, and the following promotions were given to the fans:

Every 90th fan received a free t-shirt.
Every 45th fan received a free cap.
Every 60th fan received a free scarf.

Determine how many fans received all three promotional items.

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