
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 four ropes with lengths of 48 inches, 72 inches, 120 inches, and 144 inches. He intends to cut these ropes into pieces of equal length for a construction project. Moreover, he needs at least 5 pieces from each rope. What is the maximum length of each piece he can cut such that no rope is wasted?

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