
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
An educational center received an object with a volume of around 150 monoliths (a container designed for 150 monoliths that was almost full). Each monolith is identified either as sandy loam or loam and classified by its genesis as either marine or lake-glacial deposits. The relative frequency (statistical probability) that a randomly selected monolith is sandy loam is $\frac{2}{11}$. Meanwhile, the relative frequency that a randomly selected monolith is marine loam is $\frac{7}{13}$. How many total monoliths of lake-glacial genesis does the object contain, given that there are no marine sandy loams?

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