
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
Max has four ropes, with lengths of 48 inches, 72 inches, 108 inches, and 120 inches. He needs to cut these ropes into pieces of equal length without any waste. What is the maximum length of each piece?

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