
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
The operation $*$ is defined by
\[a * b = \frac{a - b}{1 - ab}.\]
Compute
\[2 * (4 * (6 * (\dotsb (998 * 1000) \dotsb))).\]

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