
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 $XYZ,$ the midpoint of $\overline{YZ}$ is $(2, 3, -2),$ the midpoint of $\overline{XZ}$ is $(-1, 6, 3),$ and the midpoint of $\overline{XY}$ is $(3, 1, 5).$ Find the coordinates of vertex $X.$

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