
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
The dowry of a young peasant girl consists of a cow, a calf, a pig, and a chicken. Her fiancé knew that:

- Five cows, seven calves, nine pigs, and one chicken together cost 108210 francs.
- A cow costs 4000 francs more than a calf.
- Three calves cost as much as ten pigs.
- 3000 chickens cost as much as five calves.

Based on all this information, he tried to calculate the value of his fiancée’s dowry, but he was unable to do so. Could you help him?

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