The table can be filled out by taking a puzzle answer, finding a synonym or related word which is the title of a Numb3rs episode, then taking that episode number and using it as part of a new title. These next episode numbers then are used in the modular arithmetic expressions, indexing into the indicated word. Here is a completed table, showing the answer ROUTE SIXTEEN:

Investigation	Lead	Beginning episode	Intermediate episode
Stars	IMPLICATIONS	→ UNDERCURRENTS (36)	36 HOURS (87)
Amelia Bedelia	EARHART	→ PILOT (1)	1 HOUR (54)
The Clocks	HEISENBERG	→ UNCERTAINTY PRINCIPLE (2)	2 DAUGHTERS (39)
Across Words	SWEET CHILD O MINE	→ GUNS AND ROSES (33)	ATOMIC NO 33 (77)
Find x	FAKE LIFE	→ COUNTERFEIT REALITY (7)	7 MEN OUT (105)
	↓		↓
	↓	Final answer	Index into intermediate, ignoring *s
	↓	R	← 87 mod 20 - 3
	↓	O	← 54 mod 26
	↓	U	← 39 mod 19 + 2
	↓	T	← 77 mod 25
	↓	E	← 105 mod 15 + 2
	↓
	Index into lead	SIXTEEN
	87 mod 17 → M	↑
	54 mod 17 - 1 → A	Final episode
	39 mod 11 → N	→ OBSESSION (16)
	77 mod 23 → I
	105 mod 20 - 3 → A