Following the success of "Cooky Puss", the band began to incorporate rap into their sets. They hired a DJ for their live shows, New York University student Rick Rubin, who began producing records soon thereafter. "I met Mike first," Rubin recalled. "I thought he was an arrogant asshole. Through spending time with the Beasties I grew to see that they had this great sense of humour. It wasn't that they were assholes, and even if it was, they were funny with it." Rubin formed Def Jam Recordings with fellow NYU student Russell Simmons, and approached the band about producing them for his new label. As the band was transitioning to hip hop, Schellenbach was fired in 1984, with Diamond taking over on drums. In their 2018 memoir, Ad-Rock expressed regret for firing Schellenbach, which he attributed to her not fitting with the "new tough-rapper-guy identity".