
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
Diana has two numbers, \( x \) and \( y \). When she divides \( x \) by 80, she gets a remainder of 75. When she divides \( y \) by 120, she gets a remainder of 115. What remainder does she get when she divides \( x + y \) by 40?

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