
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
Jitka worked a job with a fixed daily wage. In three days, she earned enough money to buy a board game and still had 490 Kč left. If she worked for five days, she could buy two such board games and still have 540 Kč left.

How much did the board game cost?

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