
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 
$2nx + 3y = 2$
$3ny + 4z = 3$
$4x + 2nz = 4$
has no solution if and only if $n$ is equal to which of the following?
A) $-\sqrt[3]{4}$
B) $0$
C) $1$
D) $-\sqrt[3]{2}$
E) $2$

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