
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
Daniel has three ropes whose lengths are 60 inches, 75 inches, and 90 inches. He wishes to cut the ropes into pieces such that each piece is of the same length and there's no leftover rope on any of the ropes. Determine the maximum length of each piece.

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