
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 two propositions, $p$: The solution set of the inequality $a^{x} > 1(a > 0$ and $a \neq 1)$ regarding $x$ is ${x|x < 0}$, and $q$: The domain of the function $y=\lg (ax^{2}-x+a)$ is $R$. If $p \vee q$ is a true proposition and $p \wedge q$ is a false proposition, find the range of values for the real number $a$.

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