HELPPPPP>What integer $n$ satisfies $0\le n<18$ and $n\equiv -11213141\pmod{18}~?$

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What integer $n$ satisfies $0\le n<18$ and $n\equiv -11213141\pmod{18}~?$

CorbellaB.15 Mar 29, 2019

Rom · Answer 1 · 2019-03-29T05:02:09

$\text{Find }0 \leq n < 18 \ni n \equiv -11213141 \pmod{18}$

$\dfrac{11213141}{18} = 622952 + \dfrac{5}{18} \text{ so }\\ -11213141 + 622953\cdot 18 = 13 \equiv -11213141 \pmod{18}$

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Melody · Answer 2 · 2019-03-29T05:37:20

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Hi Rom,

What is the back to front e thingy ?

Melody Mar 29, 2019

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Melody, for "the back to front e thingy" read "such that".

Alan Mar 29, 2019

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Thanks Alan :)

Melody Mar 29, 2019

HELPPPPP>What integer $n$ satisfies $0\le n<18$ and n≡−11213141(mod18) ?n\equiv -11213141\pmod{18}~?