
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
Vasya has six identical dice, each with numbers from 1 to 6 on its faces (each number appearing exactly once). Vasya rolled all six dice six times in succession. No number landed on the same face twice on any of the dice.

It is known that the sum of the numbers on the top faces during the first roll was 21, and in the next four rolls, the sums were 19, 20, 18, and 25, respectively. What was the sum on the sixth roll?

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