
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. There is a problem in the book that goes: "There is a woman who is good at weaving. Her productivity increases daily (Note: starting from the second day, she weaves the same additional amount of fabric each day compared to the previous day). On the first day, she weaves 5 yards of fabric. Now, in a month (considered as 30 days), she weaves a total of 390 yards of fabric. Find the daily increase in her productivity from the second day onwards.

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