
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
There is a batch of goods in a warehouse. If 3 large trucks are used, it can be completed in 4 days. If 4 small trucks are used, it can be completed in 5 days. If 20 carts are used, it can be completed in 6 days. Now, if 2 large trucks, 3 small trucks, and 7 carts are used together for 2 days, and then all are switched to carts to complete within the next 2 days, how many carts are needed each day at least in the last two days?

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