
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
If $x = 2 + 2^p$ and $y = 1 + 2^{-p}$, then express $y$ in terms of $x$.
A) $\frac{x-1}{x-2}$
B) $\frac{x-1}{x+2}$
C) $\frac{x+1}{x-2}$
D) $\frac{x+3}{x-2}$

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