
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 $\begin{vmatrix} p & q \\ r & s \end{vmatrix} = 7,$ then find
\[\begin{vmatrix} p - 3r & q - 3s \\ r & s \end{vmatrix}.\]

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