yad-arthaṁ bhavatā dhṛtam

sarve-everything; lila-pastimes; avatarah-incarnations; te-of Your Lordship; bhutanam-of all living entities; bhuti-of a flourishing condition; hetavah-the causes; jnatum-to know; icchami-I wish; adah-this; rupam-form; yat-artham-for what purpose; bhavata-by Your Lordship; dhrtam-assumed.