
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
Alice, Bob, Carol, and Dave work as part-time librarians. Alice works every 5th day, Bob every 6th day, Carol every 8th day, and Dave every 9th day. They all worked together today. How many days will pass before all four work together again?

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