
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 simplest form of $1 - \frac{1}{1 + \frac{a^2}{1 - a^2}}$ is:
**A)** $a^2$ if $a \neq 0$  
**B)** $1$  
**C)** $a^2$ if $a \neq 1$  
**D)** $a^2$ with no restriction on $a$  
**E)** $a^2$ if $a \neq \pm 1$

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