
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 \(\frac{x}{x-1} = \frac{y^2 + 3y + 2}{y^2 + 3y - 1},\) then find $x$.
A) \(\frac{y^2 + 3y + 2}{3}\)  
B) \(y^2 + 3y + 2\)  
C) \(y^2 + 3y - 2\)  
D) \(\frac{y^2 + 3y - 2}{3}\)  
E) \(y^2 + 3y + 1\)

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