
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 group of eighth graders decided to go on a trip to Uglich during the holidays. Each month, every student contributed a certain number of rubles (without kopecks), the same amount for all students, and a total of 49,685 rubles was collected over five months. How many students were in the group and how much did each contribute?

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