
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
Line segment $\overline{AB}$ is extended past $B$ to point $Q$ such that $AQ:QB = 7:2.$ Then, express $\overrightarrow{Q}$ as a linear combination of $\overrightarrow{A}$ and $\overrightarrow{B}$, i.e., find constants $s$ and $v$ such that
\[\overrightarrow{Q} = s \overrightarrow{A} + v \overrightarrow{B}.\]

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