
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 \(\mathbf{p}, \mathbf{q},\) and \(\mathbf{r}\) be unit vectors such that
\[
\mathbf{p} + 2\mathbf{q} + \mathbf{r} = \mathbf{0}.
\]
Find the angle between \(\mathbf{p}\) and \(\mathbf{r}\), in degrees.

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