
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
The triangle  $ABC$  lies on the coordinate plane.  The midpoint of  $\overline{AB}$  has coordinates  $(-16, -63)$ , the midpoint of  $\overline{AC}$  has coordinates  $(13, 50)$ , and the midpoint of  $\overline{BC}$  has coordinates  $(6, -85)$ .  What are the coordinates of point  $A$ ?

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