
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
Felicia, Greg, Hannah, Ian, and Joy are music instructors at a community center. Their schedule is as follows: Felicia teaches every fifth day, Greg teaches every third day, Hannah teaches every ninth day, Ian teaches every second day, and Joy teaches every eighth day. Today they are all teaching together. How many days from today will they next all be together teaching in the center?

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