
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
Ella, Felix, Greta, and Harry are coaches for a sports club. Their coaching schedule is as follows: Ella works every fifth day, Felix works every ninth day, Greta works every eighth day, and Harry works every eleventh day. Today they all coached together. How many days from today will they next be together coaching at the club?

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