
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
Peter, Quinn, Rachel, and Sam are librarians in a public library. Peter works every fifth day, Quinn works every eighth day, Rachel works every tenth day, and Sam works every fourteenth day. Today they are all working together in the library. How many days from today will they all next work together?

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