
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 Nine Chapters on the Mathematical Art," there is a problem: There is a woman skilled in weaving, who increases her output by a constant length every day. In seven days, she weaves 21 meters, and the sum of the lengths she weaves on the second, fifth, and eighth days is 15 meters. Determine the length she weaves on the tenth day.

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