
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
Given that for \( p = 1, 2, \cdots, 10 \), let \( S_{p} \) be the sum of the first 40 terms of an arithmetic sequence with the first term \( p \) and the common difference \( 2p - 1 \), calculate the value of \( S_{1} + S_{2} + \cdots + S_{10} \).

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