
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 vectors $\mathbf{p},$ $\mathbf{q},$ and $\mathbf{r}$ such that $\mathbf{p} \cdot \mathbf{q} = 5,$ $\mathbf{p} \cdot \mathbf{r} = -2,$ and $\mathbf{q} \cdot \mathbf{r} = -1,$ find
\[
\mathbf{q} \cdot (5 \mathbf{r} - 3 \mathbf{p}).
\]

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