
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 $Q$ such that $AQ:QB = 5:2.$
\[
\overrightarrow{Q} = s \overrightarrow{A} + v \overrightarrow{B}
\]
for some constants $s$ and $v.$ Determine the ordered pair $(s, v)$.

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