
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
The state income tax where Liam lives is levied at the rate of $q\%$ of the first $\textdollar 30000$ of annual income, $(q + 3)\%$ of the next $\textdollar 20000$, and $(q + 5)\%$ for any amount above $\textdollar 50000$. Liam noticed that the state income tax he paid amounted to $(q + 0.35)\%$ of his annual income. What was Liam's annual income?

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