
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
"The Nine Chapters on the Mathematical Art" is the first mathematical monograph in China, which includes the following problem: "There is a gold rod, 5 feet in length. Cutting 1 foot from the base, it weighs 4 jin. Cutting 1 foot from the tip, it weighs 2 jin. How much does the gold rod weigh?" This means: "There is a gold rod (uniformly varying in thickness) 5 feet long. Cutting 1 foot from the base end, it weighs 4 jin. Cutting 1 foot from the tip end, it weighs 2 jin. How much does the gold rod weigh?" The answer is \_\_\_\_\_\_.

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