
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 $E(n)$ denote the number of ways of writing the positive integer $n$ as a product\[n = g_1\cdot g_2\cdots g_j,\]where $j\ge1$, the $g_i$ are integers strictly greater than $1$, and the order in which the factors are listed matters. What is $E(120)$?
A) 75 \
B) 81 \
C) 90 \
D) 95

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