
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
Ciara has three ropes whose lengths are 45 inches, 75 inches, and 90 inches. She needs to cut the ropes into pieces of equal length for a crafts project. All the rope must be used without any leftover. What is the greatest possible length for each piece?

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