
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 masterpiece "Nine Chapters on the Mathematical Art," there is the following problem: "There is a woman who is good at weaving. She doubles her output every day, and on the fifth day she weaves 5 feet of cloth. How much cloth does she weave each day?" The question asks for the amount of cloth the woman weaves on the first day.

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