
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
Let vectors \(\mathbf{u}\), \(\mathbf{v}\), and \(\mathbf{w}\) be such that \(\mathbf{u} \cdot \mathbf{v} = -2\), \(\mathbf{u} \cdot \mathbf{w} = 5\), and \(\mathbf{v} \cdot \mathbf{w} = -7\). Calculate \(\mathbf{v} \cdot (4\mathbf{w} - 3\mathbf{u})\).

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