
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
Kenneth has four ropes whose lengths are 45 inches, 60 inches, 75 inches, and 90 inches. He seeks to cut these ropes into pieces of equal length for an art installation. Determine the greatest length possible for each piece, ensuring no rope is wasted.

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