The Quran

سَمّاعونَ لِلكَذِبِ أَكّالونَ لِلسُّحتِ ۚ فَإِن جاءوكَ فَاحكُم بَينَهُم أَو أَعرِض عَنهُم ۖ وَإِن تُعرِض عَنهُم فَلَن يَضُرّوكَ شَيئًا ۖ وَإِن حَكَمتَ فَاحكُم بَينَهُم بِالقِسطِ ۚ إِنَّ اللَّهَ يُحِبُّ المُقسِطينَ

Muhammad Asad

those who eagerly listen to any falsehood, greedily swallowing all that is evil!¹ Hence, if they come to thee [for judgment],² thou mayest either judge between them or leave them alone: for, if thou leave them alone, they cannot harm thee in any way. But if thou dost judge, judge between them with equity:³ verily, God knows those who act equitably.

The noun suht is derived from the verb sahata, "he utterly destroyed [a thing]", and signifies, primarily, the "doing of anything that leads to destruction" because it is abominable and, therefore, forbidden (Lisan al-'Arab). Hence, it denotes anything that is evil itself. In the above context, the intensive expression akkalun li's-suht may denote "those who greedily devour all that is forbidden" (i.e., illicit gain), or, more probably, "those who greedily swallow all that is evil" - i.e., every false statement made about the Qur'an by its enemies with a view to destroying its impact.
I.e., as to what is right and what is wrong in the sight of God. Most of the commentators assume that this passage refers to a specific judicial case, or cases, which the Jews of Medina brought before the Prophet for decision; but in view of the inherent Qur'anic principle that every historical reference contained in it has also a general import, I rather believe that the "judgment" alluded to in this verse relates to deciding as to whether any of their beliefs - other than those which the Qur'an explicitly confirms or rejects - is right or wrong.
I.e., on the basis of the ethical laws revealed by God, and not personal, arbitrary likes or dislikes.