
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 two real numbers \( p \) and \( q \) such that
\[
\begin{pmatrix} 3 \\ p \\ -8 \end{pmatrix} \times \begin{pmatrix} 6 \\ 5 \\ q \end{pmatrix} = \mathbf{0}
\]
find the ordered pair \( (p, q) \).

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