
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 "$*$" such that for rational numbers $a$ and $b$, $a*b=\left(2+a\right)\div b$. For example, $2*3=\left(2+2\right)\div 3=\frac{4}{3}$.  
$(1) 4*\left(-3\right)=$______  
$(2) 8*\left(4*3\right)=\_\_\_\_\_\_$.

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