
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
Given that $A = (\sqrt{3003}+\sqrt{3004})$, $B = (-\sqrt{3003}-\sqrt{3004})$, $C = (\sqrt{3003}-\sqrt{3004})$, and $D = (\sqrt{3004}-\sqrt{3003})$, find $ABCD$.

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