
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
When one side is in trouble, support comes from all directions. The heavy rain in Zhengzhou has touched the hearts of tens of thousands of people, and many companies have also offered their assistance. A certain company purchased a batch of disaster relief supplies and arranged for two types of trucks to transport them to Zhengzhou. Investigations revealed that 2 small trucks and 3 large trucks can transport 1800 items in one trip, while 3 small trucks and 4 large trucks can transport 2500 items in one trip.  
$(1)$ Find out how many items can be transported in one trip by 1 large truck and 1 small truck respectively.  
$(2)$ There are 3100 items that need to be transported to Zhengzhou again. It is planned to rent both types of trucks, each fully loaded. How many rental plans are there? Please list all rental plans.

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