
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 $\triangle ABC$, lines $CF$ and $AD$ are drawn so that $\dfrac{CD}{DB} = \dfrac{2}{1}$ and $\dfrac{AF}{FB} = \dfrac{2}{3}$. Let $q = \dfrac{CQ}{QF}$ where $Q$ is the intersection point of $CF$ and $AD$. Determine the value of $q$.

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