
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
In the ancient Chinese mathematical work "The Nine Chapters on the Mathematical Art," there is a problem that roughly translates to: "Fold a rope in half to measure a wooden stick, leaving 5 feet of rope remaining. Fold the rope into thirds and measure the wooden stick again, leaving 2 feet of stick. What are the lengths of the rope and the wooden stick?" Can you solve this problem?

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