
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
Compute the product \( ABC \), where \( A, B, \) and \( C \) are constants in the partial fraction decomposition of the expression
\[
\frac{x^2 + 25}{x^3 + 2x^2 - 13x - 14}
\]
into
\[
\frac{A}{x + 2} + \frac{B}{x - 1} + \frac{C}{x + 7}.
\]

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