
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
At a concert, the organizers offer the following perks to attendees:

- Every 90th attendee receives a free T-shirt.
- Every 45th attendee receives a free cap.
- Every 60th attendee receives a free wristband.

The concert venue has a capacity of 5400 attendees and is sold out. How many attendees receive all three items?

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