It just won't stop...

Algebra Level 2

What is the last digit of:\textbf{What is the last digit of:}

1!+2!+3!+4!+5!+...+2015!\huge \color{#D61F06}{1!} \color{#0C6AC7}+\color{#EC7300}{2!} \color{#0C6AC7}+\color{#20A900} {3!} \color{#0C6AC7}+ \color{teal}{4!} \color{#0C6AC7}+ \color{#69047E}{5!} \color{#0C6AC7}{+ ... +} \color{hotpink}{2015!}

NOTES:\textbf{NOTES:}

  • No need to bash, in fact very simple!\text{No need to bash, in fact very simple!}

  • Implied from above ... NO CALCULATORS!!!\text{Implied from above ... NO CALCULATORS!!!}

  • LaTeX for life!\LaTeX\text { for life!}

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