
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 two sets $M$ and $N$, define the set $N*M=\{x|x=y-z, y\in N, z\in M\}$. If $M=\{0, 1, 2\}$ and $N=\{-2, -3\}$, evaluate the set $N*M$.

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