
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
An art exhibition opens at 8:00, but people have already been queuing to enter before that. From the time the first visitor arrives, the number of visitors arriving per minute is consistent. If 3 entry points are opened, the queue ends at 8:09. If 5 entry points are opened, the queue ends at 8:05. What time did the first visitor arrive?

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