
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 trapezoid  $ ABCD$  with  $ \overline{BC}\parallel\overline{AD}$ , let  $ BC\equal{}1000$  and  $ AD\equal{}2008$ . Let  $ \angle A\equal{}37^\circ$ ,  $ \angle D\equal{}53^\circ$ , and  $ m$  and  $ n$  be the midpoints of  $ \overline{BC}$  and  $ \overline{AD}$ , respectively. Find the length  $ MN$ .

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