
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
30 tigers and 30 foxes are divided into 20 groups, each with 3 animals. Tigers always tell the truth, and foxes always lie. When asked, "Is there a fox in your group?", 39 out of the 60 animals answered "No." How many groups consist entirely of tigers?

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