
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
Two pieces of cloth are of the same length. 32 meters of the first piece and 20 meters of the second piece were used, resulting in the remainder of the second piece being three times that of the first piece. How long was each piece of cloth originally?

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