
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 proposition $p$: The equation $a^{2}x^{2}+ax-2=0$ has a solution in the interval $[-1,1]$, and proposition $q$: The equation $ax^{2}+2x+1=0$ has at least one negative real root. If $p\lor q$ is true, and $p\land q$ is false, find the range of the real number $a$.

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