The phrase "conspire with" can often have negative connotations, implying secretive and potentially illegal activity. Synonyms for this phrase, however, can be used to express similar ideas in a less suspicious manner. For example, "collaborate with" suggests a more cooperative and open partnership, while "work with" implies a more professional and straightforward approach. "Coordinate with" suggests a shared goal or objective, while "team up with" implies a more proactive and enthusiastic partnership. "Join forces with" can also imply a more purposeful and intentional collaboration. Depending on the context, any of these alternatives may be suitable for expressing a partnership or alliance between individuals or groups.