
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
Define a new operation: $x*y=x-x\div y$. For example, $\left(-3\right)*\left(-5\right)=-3-\left(-3\right)\div \left(-5\right)=-3\frac{3}{5}$. Calculate the value of $\left[9*\left(-1\right)\right]*\left(-2\right)$ according to the above definition.

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