
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
Maria has three ropes whose respective lengths are 75 inches, 90 inches, and 135 inches. She intends to cut these ropes into pieces of equal length for crafting, ensuring no part of any rope is unused. What is the longest piece she can cut from these lengths?

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