
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 the sticker price of a gadget, calculate the difference in cost of purchasing the gadget at store A, where a 20% discount is applied and two rebates of $60 and $20 are applied subsequently, and store B, where a 35% discount is applied, and if the difference in cost is $20, determine the sticker price of the gadget.

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