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

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