
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
If the number $y$ is such that $\sqrt[3]{y+25} - \sqrt[3]{y-25} = 4$, find the range in which $y^2$ lies.
A) 600 and 610
B) 610 and 620
C) 615 and 635
D) 640 and 660
E) 660 and 680

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