
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
Maria and João walk together around the square, counting the houses surrounding the square. They started counting from different points. The fifth house for Maria is the twelfth for João, and the fifth house for João is the thirtieth for Maria. How many houses are there around the square?

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