
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
We have three cube-shaped containers. The edge of the second cube is $4 \mathrm{~cm}$ shorter than the edge of the first cube, and the edge of the third cube is $2 \mathrm{~cm}$ shorter than the edge of the second cube. We fill the second container with water from the first container, and then the third container with water from the second container. Thus, the first container has $40 \mathrm{~cm}^{3}$ more water than three times the content of the second container. What are the volumes of the three containers?

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