
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
Find the two smallest positive integers \(x\) and \(y\) such that the product of \(360\) and \(x\) is a square and the product of \(360\) and \(y\) is a fourth power. What is the sum of \(x\) and \(y\)?
- **A)** 2284
- **B)** 2500
- **C)** 2260
- **D)** 3000
- **E)** 2760

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