
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
Sam, Fran, Mike, and Julio are currently scheduled to work in the school library. Sam works every fifth day, Fran works every eighth day, Mike works every tenth day, and Julio works every twelfth day. They are all working today. How many days will pass before they all work together again on the same day?

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