
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 $XYZ$, point $Q$ is in the same plane. Point $Q$ is equidistant from $X$ and $Y$, angle $XQY$ is three times angle $XZY$, and $\overline{XZ}$ intersects $\overline{YQ}$ at point $E$. If $YQ = 7$ and $YE= 5$, then $XE\cdot EZ =$
A) 10
B) 20
C) 30
D) 40
E) 45

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