
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
Amanda, Brian, Carla, and Derek are team leaders in their company's project rotation. Their rotation schedules are as follows: Amanda rotates every fifth week, Brian every eighth week, Carla every tenth week, and Derek every twelfth week. This week, they are all leading projects together. In how many weeks from this week will they all be leading projects together again?

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