
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
Alicia has three ropes with lengths of 28 inches, 42 inches, and 70 inches. She wants to cut these ropes into equal length pieces for her art project, and she doesn't want any leftover pieces. What is the greatest length of each piece she can cut?

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