
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
Triangle $DEF$ has vertices $D(0, 10)$, $E(3, 0)$, $F(10, 0)$. A horizontal line with equation $y=s$ intersects line segment $\overline{DE}$ at $V$ and line segment $\overline{DF}$ at $W$, forming $\triangle DVW$ with area 18. Compute $s$.

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