
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
Let  $f : Q \to  Q$  be a function satisfying the equation  $f(x + y) = f(x) + f(y) + 2547$  for all rational numbers  $x, y$ . If  $f(2004) = 2547$ , find  $f(2547)$ .

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