
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 wants to arrange themselves so that they can form groups of 8, 10, or 12 with none left over. What is the minimum number of people in the troupe?

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