
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
Calculate:
$$
\left(\frac{404445^{2}}{202222 \times 202223 \times 202224}-\frac{202223}{202222 \times 202224}-\frac{202222}{202223 \times 202224}\right) \times 12639=
$$

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