
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
During a chess game, at some point, Hedgehog had twice fewer pieces on the board than Bear, and these pieces were five times fewer than the free squares on the board. How many of Bear's pieces were captured by this moment?

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