
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 box with height $h$, width $w$, and length $l$ can hold $84$ grams of clay if $h=4$, $w=3$, and $l=7$. Find the volume of a second box with half the height, four times the width, and the same length.

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