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AMC 10
2015 AMC 10
1
Ubiquitous First Arithmetic Problem
Ubiquitous First Arithmetic Problem
Source: 2015 AMC 10B #1, 12b #1
February 26, 2015
modular arithmetic
function
AMC
Problem Statement
What is the value of
2
−
(
−
2
)
−
2
2-(-2)^{-2}
2
−
(
−
2
)
−
2
?
<
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c
l
a
s
s
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′
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a
t
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x
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b
o
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′
>
(
A
)
<
/
s
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a
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−
2
<
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a
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s
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a
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x
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b
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(
B
)
<
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1
16
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a
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(
C
)
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>
7
4
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x
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>
(
D
)
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9
4
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x
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(
E
)
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6
<span class='latex-bold'>(A) </span> -2 \qquad<span class='latex-bold'>(B) </span> \dfrac{1}{16} \qquad<span class='latex-bold'>(C) </span> \dfrac{7}{4} \qquad<span class='latex-bold'>(D) </span> \dfrac{9}{4} \qquad<span class='latex-bold'>(E) </span> 6
<
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a
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(
A
)
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−
2
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(
B
)
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16
1
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(
C
)
<
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4
7
<
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′
>
(
D
)
<
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>
4
9
<
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ss
=
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a
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x
−
b
o
l
d
′
>
(
E
)
<
/
s
p
an
>
6
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