
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
Zippy the Zebra and Hoppy the Hare are racing up a staircase. Zippy jumps three steps at a time and Hoppy jumps six steps at a time. Suppose Hoppy reaches the top of the staircase using exactly 10 fewer jumps than Zippy. Let $t$ denote the sum of all possible numbers of steps this staircase can have. Find the sum of the digits of $t$.
A) 4  
B) 5  
C) 6  
D) 7  
E) 8

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