
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 proposition p: The equation $a^2x^2 + ax - 2 = 0$ has a solution in the interval $[-1, 1]$; proposition q: There exists only one real number $x$ that satisfies the inequality $x^2 + 2ax + 2a \leq 0$. If the proposition "p or q" is false, find the range of the real number $a$.

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