
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
Four friends, Ana, Ben, Carla, and David, each bake cookies, maintaining the same thickness across all cookies. The cookies, however, differ in shape: Ana's cookies are circles; Ben's cookies are squares; Carla's cookies are regular hexagons; David's cookies are equilateral triangles. Ana's batch uses enough dough for 10 cookies and one of her circular cookies has a radius of 2 inches, and one of David's equilateral triangle cookies has a side length of 4 inches. Calculate the number of cookies in one batch of David's cookies.

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