The track, released exclusively on Jay Z's Tidal music streaming service Tuesday, is a remix of a Fat Joe song that also features rappers Remy Ma, French Montana and Infared.
"You know you made it when the fact/Your marriage made it is worth millions/Lemonade is a popular drink and it still is," the hip-hop mogul raps amid rumors of martial strife due to the lyrical content of Lemonade.
Released in April, Beyonce's Lemonade deals with issues of infidelity with select lyrics from the project such as "This is your final warning...If you try this [expletive] again, you gon' lose your wife," that have led fans to theorize that perhaps Jay Z and Beyonce were going through a rough patch in their marriage.
Jay Z also referenced legendary musician Prince, whose music catalog is available on Tidal, rapping, "Prince left his masters where they safe and sound/We never gonna let the elevator take him down."
"All the Way Up" remix is available now on Tidal.