
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
Consider the product $(14)(17)(19)$, each factor written in base $c$. This equals $5243$ in base $c$. Let $t = 14 + 17 + 19$, each term expressed in base $c$. What is $t$ in base $c$?
A) 47
B) 48
C) 49
D) 50
E) 51

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