
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
A man walks a total distance of 1260 miles over nine days, with a common difference in his daily distance. The sum of the distances walked on the first, fourth, and seventh days is 390 miles. Calculate the distance walked on the eighth day.

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