
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
Measure the depth of a well using a rope. When the rope is folded four times to measure, 3 meters of the rope remains outside the well. When the rope is folded five times to measure, the rope is still 1 meter away from the well opening. What is the depth of the well in meters? What is the length of the rope in meters?

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