
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
We placed a cube on the center of a potter's wheel, with a natural number written on each of its faces. Just before we spun the wheel, from our point of view, we could see three faces of the cube with numbers totaling 42. After rotating the potter's wheel by $90^{\circ}$, we observed three faces with numbers totaling 34, and after another $90^{\circ}$ rotation, we still saw three numbers totaling 53.

1. Determine the sum of the three numbers we will see from our point of view if the wheel is rotated another $90^{\circ}$.
2. The cube always rested on the face with the number 6. Determine the maximum possible sum of all six numbers on the cube.

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