
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
Find the value of $n$ such that the roots of $\frac{y^2+2dy}{ey+f} = \frac{n}{n-2}$ are numerically equal but of opposite signs.
A) $\frac{2d}{4d-e}$
B) $\frac{4d}{d-2e}$
C) $\frac{4d}{2d-e}$
D) $4d + e$

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