
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
Ed and Sue both hike, bike, jog, and swim at equal and constant rates. Ed covers 120 kilometers after biking for 3 hours, jogging for 4 hours, swimming for 2 hours, and hiking for 3 hours. Sue covers 150 kilometers after jogging for 3 hours, swimming for 4 hours, biking for 2 hours, and hiking for 3 hours. The rates for biking, jogging, swimming, and hiking are whole numbers in kilometers per hour. Find the sum of the squares of Ed's biking, jogging, swimming, and hiking rates.

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