
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
Ben has four ropes with lengths 30 inches, 45 inches, 60 inches, and 75 inches. He needs to cut these ropes into equal length pieces without any waste. What is the greatest length of each piece that allows him to achieve this?

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