
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
\[5 * (6 * (7 * (8 * 9))).\]

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