
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
Compute \[ \left\lfloor \dfrac {2010^4}{2008 \cdot 2009} - \dfrac {2008^4}{2009 \cdot 2010} \right\rfloor, \]
where $\lfloor x \rfloor$ denotes the greatest integer less than or equal to $x$.

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