
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
Suppose there are three numbers D, E, and F such that $2003F - 4006D = 8012$, and $2003E + 6009D = 10010$. Determine the average of D, E, and F.
A) 2
B) 3
C) 6
D) 9 
E) Not uniquely determined

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