
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 faces of a die are numbered $6,7,8,9,10,11$. The die is rolled twice. The first time, the sum of the numbers on the four "vertical" faces (excluding the top and bottom faces) is 33, and the second time it is 35. What number can be written on the face opposite the face with the number 7? Find all possible options.

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