
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
In a certain condominium, there are 29 families, each of which owns either one, three, or five cats. The number of families that own only one cat is the same as the number of families that own five cats. How many cats are there in this condominium?

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