
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 $\mathbf{v} \times \mathbf{u} = \begin{pmatrix} -3 \\ 6 \\ 2 \end{pmatrix}$ and $\mathbf{w} = 2\mathbf{v} + 3\mathbf{u}$, then find $(\mathbf{w} + \mathbf{u}) \times (\mathbf{w} - \mathbf{u}).$

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