
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 $\begin{vmatrix} a & b \\ c & d \end{vmatrix} = 7,$ find $\begin{vmatrix} 3a & 3b \\ 3c & 3d \end{vmatrix}.$

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