
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 set $M=\{m\in Z|x^{2}+mx-36=0$ has an integer solution$\}$, a non-empty set $A$ satisfies the following conditions:<br/>$(1)A\subseteq M$,<br/>$(2)$if $a\in A$, then $-a\in A$, then the number of all such sets $A$ is ______.

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