
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
Players are dividing chips. The first player takes $m$ chips and one-sixth of the remaining chips; the second player takes $2m$ chips and one-sixth of the new remaining chips; the third player takes $3m$ chips and one-sixth of the new remaining chips, and so on. It turns out that the chips were divided equally in this manner. How many players were there?

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