
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 $P,$ $Q,$ and $R$ be points such that $\frac{PR}{PQ} = \frac{RQ}{PQ} = \frac{1}{2}.$ If $Q = (2, 5)$ and $R = (0, -10)$, then what is the sum of the coordinates of $P$?

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