
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 hotel charges a flat fee for the first night and an additional fixed fee for each subsequent night. If Jennifer paid $ \$210 $ for staying 4 nights and Robert paid $ \$400 $ for staying 7 nights, and knowing that Jennifer received a $15\%$ discount for booking early, find the original flat fee for the first night before any discount was applied.

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