
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 regional football match, the local team provided the following incentives to its supporters:
- Every 25th supporter who entered the stadium received a free t-shirt.
- Every 40th supporter got a free hat.
- Every 90th supporter received a free scarf.
The stadium has a seating capacity of 5000 and it was fully occupied at this match. How many of the supporters received all three items?

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