
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
Let $[z]$ denote the greatest integer not exceeding $z$. Consider $u$ and $v$ satisfying the simultaneous equations:
\[ v = 4[u] + 5 \]
\[ v = 5[u-3] + 9 \]
If $u$ is not an integer, then what is $u+v$?
A) between 60 and 61
B) between 70 and 72
C) between 50 and 52
D) between 55 and 56

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