
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
After the "Nine Chapters on the Mathematical Art," people learned to use the knowledge of arithmetic sequences to solve problems. Problem 22 in the first volume of "Zhang Qiujian's Mathematical Manual" states: "There is a woman skilled in weaving, who increases her output speedily (note: starting from the second day, she weaves an additional constant amount of cloth each day compared to the previous day), weaving 5 yards of cloth on the first day. Now, in a month (counted as 30 days), she has woven a total of 390 yards of cloth." How many more yards of cloth does she weave each day starting from the second day?

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