
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 $\begin{vmatrix} x & y \\ z & w \end{vmatrix} = -3,$ find $\begin{vmatrix} 3x & 3y \\ 5z & 5w \end{vmatrix}.$

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