
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 propositions p and q, where p states that the function $y=a^x$ (with $a > 0$ and $a \neq 1$) is a monotonically decreasing function on the real number line $\mathbb{R}$, and q states that the function $y=\log(ax^2 - x + a)$ has the range $\mathbb{R}$. If the compound statement "p and q" is false, determine the range of values for $a$.

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