
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
Let set $A$ contain two elements $-2$ and $1$, and set $B$ contain two elements $-1$ and $2$. Define the set $A\odot B$ such that $x_{1}\in A$, $x_{2}\in B$, and $x_{1}x_{2}\in A\odot B$. Calculate the product of all elements in $A\odot B$.

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