
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
Given $b \neq 1$, find the simplest form of the expression \[ 1 - \frac{1}{2 + \frac{b}{1 - b}}. \]
A) $\frac{1}{2 - b}$  
B) $\frac{b - 1}{b - 2}$  
C) $\frac{2}{b - 2}$  
D) Undefined

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