
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 sums all positive integers from 1 to 150. Kate does a similar task with the first 150 positive integers; however, she first rounds each integer to its nearest multiple of 10, squares each rounded value, and then adds together these 150 squares. What is the positive difference between Kate's sum and Jo's sum?

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