
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 the universal set $U=\{x\in Z|x^{2}-5x-6\leqslant 0\}$, set $A=\{x\in Z\left|\right.x\left(2-x\right)\geqslant 0\}$, and set $B=\{1,2,3\}$; find the set $\complement _{U}(A\cup B)$.

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