
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 $Q$ be a point on line segment $\overline{CD}$ such that $CQ:QD = 4:1$. Find $\overrightarrow{Q}$ in terms of $\overrightarrow{C}$ and $\overrightarrow{D}$, and determine the constants $t$ and $u$ such that
\[\overrightarrow{Q} = t \overrightarrow{C} + u \overrightarrow{D}.\]

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