
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
"Zhang Qiu Jian Suan Jing" is an ancient Chinese mathematical work, believed to have been written around the 5th century AD. It contains the following problem: "There is a woman who is good at weaving, and she weaves faster day by day, with the same amount of increase each day. It is known that she wove 5 chi on the first day, and after one month, she has woven a total of 390 chi. How much does she increase her weaving by each day?" (Assuming a month has 30 days)

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