
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 person goes hunting in the jungle and discovers a pack of wolves, among which there are some mutant wolves. It is known that this person has one head and two legs, an ordinary wolf has one head and four legs, and a mutant wolf has two heads and three legs. The total number of heads of all the people and wolves combined is 21, and the total number of legs is 57. Determine the number of heads of all the wolves (including mutant wolves).

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