
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 \( n \) for which the following system of equations does not have a solution:
\[ nx + y = 2 \]
\[ ny + z = 2 \]
\[ x + n^2z = 2 \]
**A)** \( -1 \)  
**B)** \( 0 \)  
**C)** \( 1 \)  
**D)** \( 0 \text{ or } 1 \)  
**E)** \( \frac{1}{2} \)

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