
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
Jo calculates the sum of all the positive integers from 1 to 120. Alan does a similar thing with the first 120 positive integers; however, he first rounds every integer to its nearest multiple of 5 (rounding 2.5s up) and then adds the 120 values. What is the positive difference between Jo's sum and Alan's sum?

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