
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
Rita, Pedro, Elaine, and Moe are instructors at various workshops. Their schedule is as follows: Rita works every fifth week, Pedro works every eighth week, Elaine works every tenth week, and Moe works every ninth week. They are all teaching this week. How many weeks from this week will all four instructors teach together again in the workshops?

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