
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 vectors $\mathbf{u}$ and $\mathbf{v}$ are such that $\|\mathbf{u}\| = 5$ and $\|\mathbf{v}\| = 13$, and vector $\mathbf{w} = 3\mathbf{v}$, find all possible values of $\mathbf{u} \cdot \mathbf{w}$.

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