
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 box contains a collection of triangular, square, and pentagonal tiles. There are 30 tiles in total, with 108 edges altogether. Calculate the number of square tiles in the box.

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