
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
A straight, symmetrical railway embankment has a bottom width of \(a\) and a top width of \(b\), with a height of \(m\). A road is being built that runs perpendicular to the axis of the embankment. The embankment is cut all the way down to its base. The soil to be removed is bounded by sloped flat surfaces of equal incline, with a bottom width of \(c\) and a top width of \(d\). What is the volume of the soil to be removed?

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