
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
A dance troupe found they could arrange themselves in rows of 6, 9, or 12 without any member being left out. They also noticed they could perfectly form groups of 5. What is the minimum number of members in the troupe?

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