
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
Marsha has three numbers, \( a \), \( b \), and \( c \). When she divides \( a \) by 90 she gets a remainder of 84. When she divides \( b \) by 120 she gets a remainder of 114. When she divides \( c \) by 150, she gets a remainder of 144. What remainder does she get when she divides \( a+b+c \) by 30?

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