
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
Let \(\alpha\) and \(\beta\) be the roots of the equation \(x^2 + px - 2 = 0\) and \(\gamma\) and \(\delta\) are the roots of the equation \(x^2 + qx - 2 = 0\). Compute the expression:
\[
(\alpha - \gamma)(\beta - \gamma)(\alpha + \delta)(\beta + \delta).
\]

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