
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
If the sum of the first \( n \) terms of the sequence \( \{a_n\} \) is given by
\[
S_n = n^3 - n^2 \quad (n \in \mathbf{Z}_{+}),
\]
then find the value of
\[
\sum_{i=1}^{2015} \frac{1}{a_i + 8i - 2}.
\]

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