
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
In a community center, five instructors, Alex, Morgan, Jamie, Pat, and Kim, are scheduled to work on different cycles. Alex works every ninth day, Morgan works every fifth day, Jamie works every eighth day, Pat works every tenth day, and Kim works every twelfth day. All five worked together today. How many days from today will they next work together again?

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