
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 $n$ is a real number, then the simultaneous system 
$nx + y + z = 2$
$x + ny + z = 2$
$x + y + nz = 2$
has no solution if and only if $n$ is equal to what value?
A) -3
B) -2
C) 0
D) 1
E) 2

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