The phrase "played mischief with" is often used to express how something has caused problems or chaos. There are several synonyms for this phrase that can be used to provide variety in writing. One option is "wreaked havoc on", which implies that something has caused extensive damage or disruption. Another synonym is "caused mayhem", which suggests a sense of disorder and confusion. "Disrupted" is a more neutral alternative, implying that something has interrupted normal activity or function. Additionally, "created chaos" and "stirred up trouble" can also be used to convey the same meaning as "played mischief with".