
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
Heather compares the price of a new computer at two different stores. Store $A$ offers $20\%$ off the sticker price followed by an $80$ rebate, and store $B$ offers $30\%$ off the same sticker price followed by a $40$ rebate. Heather saves $\30$ by buying the computer at store $A$ instead of store $B$. Determine the sticker price of the computer, in dollars.

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