
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
In triangle $ABC$, the intersection point of medians $AP$ and $CQ$, denoted as $O$, is such that $OQ$ measures 4 inches. Knowing that the full length of median $CQ$ is three times the length of segment $OQ$, find the length of segment $OP$.
A) 4 inches
B) 6 inches
C) 8 inches
D) 10 inches
E) 12 inches

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