My Brain Just Got Jet Lagged!

Algebra Level 1

Please answer this problem for me.

What is the word being described in this set of interrelated equations when the answer is 1.

If:

\[S\quad =\quad 8\quad \\ \\ A\quad =\quad { S }^{ 2 }\\ \\ R\quad =\quad 2{ E }^{ 2 }+2\\ \\ E\quad =\quad \frac { 8\sqrt { { S }^{ 2 } } }{ A } \\ \\ T\quad =\quad \frac { \frac { A }{ S } \quad +\quad 2 }{ (R\quad +\quad { E }^{ 2 }\quad +\quad S)\quad -\quad (ER\quad -\quad 1)\quad }\]

STARE = \[S\quad x\quad RET\quad +\quad \sqrt { A }\]

RATES = \[\frac { A }{ S\quad x\quad R\quad x\quad (E\quad +\quad T) } \]

TEARS = \[\frac { A\quad x\quad \sqrt [ 3 ]{ 8 } }{ RETS\quad +\quad { R }^{ 2 } }\]

TARES = \[\frac { REATS }{ A\quad -\quad (S\quad x\quad R) } -84\]

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