
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 nonzero numbers $p$, $q$, and $r$, define
$$
\text{{J}}(p, q, r) = \frac{p}{q} + \frac{q}{r} + \frac{r}{p}
$$
and
$$
\text{{K}}(p, q, r) = \frac{p+q}{r} + \frac{q+r}{p} + \frac{r+p}{q}.
$$
Evaluate $\text{{J}}(4, 16, 8) + \text{{K}}(4, 16, 8)$.

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