
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 that $n = \frac{2dpq}{p-q}$ and $d, p, q$ are non-zero constants, find the value of $q$ in terms of $n$, $d$, and $p$.
**A)** $\frac{2np}{dp + n}$  
**B)** $\frac{np}{2dp - n}$  
**C)** $\frac{np}{2dp + n}$  
**D)** $\frac{dp}{2np + d}$  
**E)** $\frac{2dp + n}{np}$

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