
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

Simplify the following expression:

$$
\begin{aligned}
& \left(\frac{p}{q}+\frac{q}{r}+\frac{r}{p}-1\right)(p+q+r) + \left(\frac{p}{q}+\frac{q}{r}-\frac{r}{p}+1\right)(p+q-r) + \\
+ & \left(\frac{p}{q}-\frac{q}{r}+\frac{r}{p}+1\right)(p-q+r) + \left(-\frac{p}{q}+\frac{q}{r}+\frac{r}{p}+1\right)(-p+q+r)
\end{aligned}
$$

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