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Pre-Algebra
Mean
Mode
Greatest Common Factor
Least Common Multiple
Order of Operations
Fractions
Mixed Fractions
Prime Factorization
Exponents
Radicals
Algebra
Combine Like Terms
Solve for a Variable
Factor
Expand
Evaluate Fractions
Linear Equations
Quadratic Equations
Inequalities
Systems of Equations
Matrices
Trigonometry
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Graphs
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Popular Problems
⇤
1
2
3
→
⇥
\frac { 5 x - 1 } { 5 } - \frac { 1 + x } { 2 } = 3 - \frac { x - 1 } { 4 }
5
5
x
−
1
−
2
1
+
x
=
3
−
4
x
−
1
x
x
\theta ^ { 6 } =
θ
6
=
f ( x ) = - 2 x ^ { 2 } + 8 x + 4
f
(
x
)
=
−
2
x
2
+
8
x
+
4
\frac { 3 } { 7 }
7
3
2 x ^ { 2 } + 3 x
2
x
2
+
3
x
793 \times 27
7
9
3
×
2
7
y = x ^ { 2 }
y
=
x
2
\sqrt { \sqrt { ( \sqrt { x ^ { 2 } - 5 } ) ^ { 2 } } + 5 }
(
x
2
−
5
)
2
+
5
( 3 - 4 i ) - ( - 3 - 4 i )
(
3
−
4
i
)
−
(
−
3
−
4
i
)
x ^ { 2 } - 7 x + 12 \leq 0
x
2
−
7
x
+
1
2
≤
0
\frac { 2 ^ { - 6 } m ^ { 13 } n ^ { 7 } } { 5 ^ { - 2 } m ^ { 7 } n ^ { 13 } }
5
−
2
m
7
n
1
3
2
−
6
m
1
3
n
7
10 \left| x-3 \right| =40
1
0
∣
x
−
3
∣
=
4
0
8 x + 5 = b x - 7
8
x
+
5
=
b
x
−
7
\left( \begin{array} { l } { 1 } \\ { 2 } \\ { 3 } \end{array} \right) + \left( \begin{array} { l } { 4 } \\ { 5 } \\ { 6 } \end{array} \right)
⎝
⎛
1
2
3
⎠
⎞
+
⎝
⎛
4
5
6
⎠
⎞
\sqrt { e ^ { - i x } }
e
−
i
x
( \frac{ 28 }{ 48 } + \frac{ 24.5 }{ 50 } + \frac{ x }{ 48+52 } ) \times 0.1+ \frac{ 8 }{ 10 } \times 0.15+ \frac{ 15 }{ 30 } =0.5
(
4
8
2
8
+
5
0
2
4
.
5
+
4
8
+
5
2
x
)
×
0
.
1
+
1
0
8
×
0
.
1
5
+
3
0
1
5
=
0
.
5
\frac { 4 x ^ { 1 / 2 } } { 8 x ^ { 1 / 3 } }
8
x
1
/
3
4
x
1
/
2
21 m ^ { 3 } n ^ { 2 } + 3 mn ^ { 2 } - 6 mn ^ { 3 } + 9 m ^ { 2 } n ^ { 2 } =
2
1
m
3
n
2
+
3
m
n
2
−
6
m
n
3
+
9
m
2
n
2
=
10 \left| x-3 \right| > 40
1
0
∣
x
−
3
∣
>
4
0
a ^ { 3 } b ^ { 2 } , 7 a c ^ { 4 } , 14 b ^ { 2 } c ^ { 3 }
a
3
b
2
,
7
a
c
4
,
1
4
b
2
c
3
- 2 x - 14 = - 2
−
2
x
−
1
4
=
−
2
x + 3 y + 71 + | x + 7 y + 19 | = 0
x
+
3
y
+
7
1
+
∣
x
+
7
y
+
1
9
∣
=
0
\lim_{ x \rightarrow 0 } \left( { x }^{ x } \right)
lim
x
→
0
(
x
x
)
2 \cos 2 \theta + 1 = 0
2
cos
2
θ
+
1
=
0
( x - 5 ) ^ { 2 } - 9 = 0
(
x
−
5
)
2
−
9
=
0
b ^ { 2 } - 4 b + 4 = 0
b
2
−
4
b
+
4
=
0
\left. \begin{array} { l } { \alpha ^ { 3 } + \beta ^ { 3 } } \\ { + \gamma ^ { 3 } = } \end{array} \right.
α
3
+
β
3
+
γ
3
=
\sqrt { 12 } + \sqrt { 75 } + \sqrt { 108 } =
1
2
+
7
5
+
1
0
8
=
\sqrt { e ^ { - t x } }
e
−
t
x
3 ^ { 2 } \times 4 ^ { 2 }
3
2
×
4
2
y = - 2 x ^ { 2 } - 8 x + 1
y
=
−
2
x
2
−
8
x
+
1
x + 4 y > 8
x
+
4
y
>
8
- 7 = 7 j + 28
−
7
=
7
j
+
2
8
| x + 3 y + 7 | + | x + 7 y + 19 | = 0
∣
x
+
3
y
+
7
∣
+
∣
x
+
7
y
+
1
9
∣
=
0
\left\{ \begin{array} { l } { x y = 1 } \\ { x + y = \frac { 3 \sqrt { 2 } } { 2 } } \end{array} \right.
{
x
y
=
1
x
+
y
=
2
3
2
- 8 - 8 y = 6 - 2 y
−
8
−
8
y
=
6
−
2
y
x - 2 x ^ { 2 } = 8
x
−
2
x
2
=
8
\left\{ \begin{array} { l } { x y = y } \\ { x + y = \frac { 3 \sqrt { 2 } } { 2 } } \end{array} \right.
{
x
y
=
y
x
+
y
=
2
3
2
x ^ { 2 } + 3 x + 2 < 0
x
2
+
3
x
+
2
<
0
10 x - 5 x + 2 y - 2 y + x
1
0
x
−
5
x
+
2
y
−
2
y
+
x
\log_{ 2 }({ 32 }) = x
lo
g
2
(
3
2
)
=
x
y = \frac { 2 } { 3 } x + 4
y
=
3
2
x
+
4
2 + 2 y + x + y
2
+
2
y
+
x
+
y
( { 9 }^{ 6 }
(
9
6
3 x + 2 x ^ { 2 } + 4 =
3
x
+
2
x
2
+
4
=
x ( 2 x - 3 ) = 20
x
(
2
x
−
3
)
=
2
0
{ \left( \frac{ 1 }{ 5 } \right) }^{ -1 } - { \left( \frac{ 1 }{ 7 } \right) }^{ -1 }
(
5
1
)
−
1
−
(
7
1
)
−
1
l
l
\frac { 9 } { 5 } z ( 5 z - 3 )
5
9
z
(
5
z
−
3
)
e ^ { 2 } + 2
e
2
+
2
T _ { 2 } = \frac { 1.520 mm \times 290 ^ { \circ } K } { 380 mm }
T
2
=
3
8
0
m
m
1
.
5
2
0
m
m
×
2
9
0
∘
K
x \sqrt { 2 x }
x
2
x
\left. \begin{array} { c } { \frac { 3 } { 2 } a + b = 1 } \\ { a + \frac { b } { 2 } = 7 } \end{array} \right.
2
3
a
+
b
=
1
a
+
2
b
=
7
\log ( 01 )
lo
g
(
0
1
)
\left\{ \begin{array} { l } { 2 a x + b y = 14 } \\ { - 2 x + 9 y = - 19 } \end{array} \right.
{
2
a
x
+
b
y
=
1
4
−
2
x
+
9
y
=
−
1
9
\frac { \sqrt { 2 x } } { x }
x
2
x
15 \times 8
1
5
×
8
q = \frac { K ( 2 ) ( 3 ) ^ { 2 } } { 8 }
q
=
8
K
(
2
)
(
3
)
2
2 x ^ { 2 } + 8 x - y + 8 = 0
2
x
2
+
8
x
−
y
+
8
=
0
( - 2 ) ^ { 3 }
(
−
2
)
3
\log ( 25 )
lo
g
(
2
5
)
{ 0.5 }^{ 3 }
0
.
5
3
2 x ^ { 2 } + 16 x + 24
2
x
2
+
1
6
x
+
2
4
\frac{\frac{8}{5}}{\frac{2}{25}-\frac{5}{16}}
2
5
2
−
1
6
5
5
8
( 38 ) = 56 - 14
(
3
8
)
=
5
6
−
1
4
\frac { 2 } { 3 } - 5 x = b x + \frac { 1 } { 3 }
3
2
−
5
x
=
b
x
+
3
1
( \frac{ 28 }{ 48 } + \frac{ 24.5 }{ 50 } \frac{ x }{ 48+52 } ) \times 0.1+ \frac{ 8 }{ 10 } \times 0.15+ \frac{ 15 }{ 30 } \times 0.75=0.5
(
4
8
2
8
+
5
0
2
4
.
5
4
8
+
5
2
x
)
×
0
.
1
+
1
0
8
×
0
.
1
5
+
3
0
1
5
×
0
.
7
5
=
0
.
5
\left. \begin{array} { l } { 3 - 3 y = -4 }\\ { \text{Solve for } z \text{ where} } \\ { z = -2 y } \end{array} \right.
3
−
3
y
=
−
4
Solve for
z
where
z
=
−
2
y
\log _ { e } 2
lo
g
e
2
y = - 2 x ^ { 2 } - 8 x + 9
y
=
−
2
x
2
−
8
x
+
9
9 = \frac { K ( 2 ) ( 3 ) ^ { 2 } } { 8 }
9
=
8
K
(
2
)
(
3
)
2
18 \times 1 \div 20
1
8
×
1
÷
2
0
g ^ { 1 } ( 3 )
g
1
(
3
)
- 5 x - x ( x + 2 ) ( x - 4 )
−
5
x
−
x
(
x
+
2
)
(
x
−
4
)
( 4 x - 1 ) ^ { 2 } = ( x - 1 ) ( x + 1 )
(
4
x
−
1
)
2
=
(
x
−
1
)
(
x
+
1
)
7 ^ { 3 } \cdot 16 ^ { - 9 }
7
3
⋅
1
6
−
9
{ x }^{ 2 } 4x+3=0
x
2
4
x
+
3
=
0
y = \tan ^ { - 1 } ( - 2 x )
y
=
tan
−
1
(
−
2
x
)
x ^ { 2 } + x - 56 = 0
x
2
+
x
−
5
6
=
0
699 \times 533
6
9
9
×
5
3
3
\frac{3}{n^{2}}=\frac{n-4}{3 n^{2}}+\frac{2}{3 n^{2}}
n
2
3
=
3
n
2
n
−
4
+
3
n
2
2
- 4 x + 60 < 72
−
4
x
+
6
0
<
7
2
- 2 x ^ { 2 } + 12 x - 14 > 0
−
2
x
2
+
1
2
x
−
1
4
>
0
( 2 x + 5 ) ( 2 x + 3 )
(
2
x
+
5
)
(
2
x
+
3
)
7 - 2 \times ( 3 x ) =
7
−
2
×
(
3
x
)
=
6 x - ( - 2 ) = 26
6
x
−
(
−
2
)
=
2
6
3 \cdot ( 1 + 3 ) ^ { 2 } + 2 ^ { 2 } + 2 ^ { 3 }
3
⋅
(
1
+
3
)
2
+
2
2
+
2
3
2x+ { x }^{ 2 } -4 { x }^{ 3 }
2
x
+
x
2
−
4
x
3
\log _ { 7 } 1 - \log _ { 1 } 4
lo
g
7
1
−
lo
g
1
4
\frac { 2 } { 3 - 1 }
3
−
1
2
\int \frac { d x } { x \sqrt { x + 1 } }
∫
x
x
+
1
d
x
f ( x ) = 340 ( 0.025 ) ^ { x }
f
(
x
)
=
3
4
0
(
0
.
0
2
5
)
x
64+81=
6
4
+
8
1
=
\left. \begin{array} { l } { x - 3 = y } \\ { 4 x = 37 + 3 x } \end{array} \right.
x
−
3
=
y
4
x
=
3
7
+
3
x
4 \times 16
4
×
1
6
\{ [ ( 3 * Z ^ { 2 } ) ^ { 5 } ] ^ { 3 } \} ^ { 6 }
{
[
(
3
∗
Z
2
)
5
]
3
}
6
( u + 3 ) ( u - 6 )
(
u
+
3
)
(
u
−
6
)
\log ( 0.4 )
lo
g
(
0
.
4
)
(43.3-x) { \left(x+7.35 \right) }^{ 2 } =27562.5
(
4
3
.
3
−
x
)
(
x
+
7
.
3
5
)
2
=
2
7
5
6
2
.
5
8 x ^ { 3 } + 5 + 7 x ^ { 2 } + 6 x ?
8
x
3
+
5
+
7
x
2
+
6
x
?
{(e)^{ - \infty }}
(
e
)
−
∞
( \frac{ 28+24.5+x }{ 48+50+48+52 } ) \times 0.1+ \frac{ 8 }{ 10 } \times 0.15+ \frac{ 15 }{ 30 } \times 0.75 > 0.5
(
4
8
+
5
0
+
4
8
+
5
2
2
8
+
2
4
.
5
+
x
)
×
0
.
1
+
1
0
8
×
0
.
1
5
+
3
0
1
5
×
0
.
7
5
>
0
.
5
2 \cos ^ { 2 } \theta + 9 \cos \theta + 4 = 0
2
cos
2
θ
+
9
cos
θ
+
4
=
0
( 5 c + 3 ) ( 4 c - 7 )
(
5
c
+
3
)
(
4
c
−
7
)
f ( x ) = \frac { 1 } { 6 } x ^ { 3 } + \frac { 1 } { 2 } x ^ { 2 } - \frac { 15 } { 2 } x - \frac { 43 } { 6 }
f
(
x
)
=
6
1
x
3
+
2
1
x
2
−
2
1
5
x
−
6
4
3
2 + 2
2
+
2
y = \frac { 7 } { ( x ^ { 3 } - x ^ { 2 } + 7 x ) ^ { 5 } }
y
=
(
x
3
−
x
2
+
7
x
)
5
7
( x + y ) ^ { 2 } = 5
(
x
+
y
)
2
=
5
( \frac { x ^ { 3 } y } { 4 } ) \div ( \frac { 4 } { x } \div \frac { 6 } { y ^ { 3 } } )
(
4
x
3
y
)
÷
(
x
4
÷
y
3
6
)
{ 4 }^{ 4 }
4
4
\sqrt { 1 - 2 ( x ^ { 2 } + 3 x ) }
1
−
2
(
x
2
+
3
x
)
{ x }^{ 2 } =y
x
2
=
y
\sqrt { \frac { 5 } { 20 } }
2
0
5
59 - 7 ( 38 ) = 56 - 14
5
9
−
7
(
3
8
)
=
5
6
−
1
4
51 x ^ { 4 } + 3 x ^ { 2 } + x + 2
5
1
x
4
+
3
x
2
+
x
+
2
f ( x ) = a _ { 0 }
f
(
x
)
=
a
0
( 3 x ^ { 3 } + 11 x ^ { 2 } - x - 3 ) \div ( x ^ { 2 } + 4 x + 1 )
(
3
x
3
+
1
1
x
2
−
x
−
3
)
÷
(
x
2
+
4
x
+
1
)
( 0 )
(
0
)
75 x - 25
7
5
x
−
2
5
f ( x ) = \int _ { 2 } ^ { x } ( \frac { 1 } { 2 } t ^ { 2 } - 1 ) ^ { 6 } d t
f
(
x
)
=
∫
2
x
(
2
1
t
2
−
1
)
6
d
t
x ^ { 2 } - 4 x - 5 = 0
x
2
−
4
x
−
5
=
0
a ^ { 3 } - 4 a ^ { 2 } + 2 a - 1
a
3
−
4
a
2
+
2
a
−
1
2 \cdot \sqrt[ 3 ] { - 125 } + 4 \cdot \sqrt[ 5 ] { 32 } - 6 \cdot \sqrt[ 3 ] { - 8 }
2
⋅
3
−
1
2
5
+
4
⋅
5
3
2
−
6
⋅
3
−
8
- x - 2
−
x
−
2
- x - 2
−
x
−
2
(32 \sqrt{ 3 } ) \times 2
(
3
2
3
)
×
2
\frac{ 1 }{ 2 } x+x = \frac{ 51 }{ x }
2
1
x
+
x
=
x
5
1
\frac { ( 3 x ^ { 2 } y ) ^ { - 1 } x ^ { 2 } z } { 3 y ^ { - 1 } }
3
y
−
1
(
3
x
2
y
)
−
1
x
2
z
7( \frac{ 11 }{ 20+7 }
7
(
2
0
+
7
1
1
3 < 2 x + 1 < 11
3
<
2
x
+
1
<
1
1
5 { x }^{ 2 } +12x-4 > 6
5
x
2
+
1
2
x
−
4
>
6
\int \sqrt { \tan ^ { 5 } x } \sec ^ { 4 } x d x =
∫
tan
5
x
sec
4
x
d
x
=
\left. \begin{array} { l } { A ^ {C} = B }\\ { \text{Solve for } a \text{ where} } \\ { a = C } \end{array} \right.
A
C
=
B
Solve for
a
where
a
=
C
3 x + 2 x ^ { 2 } - x ^ { 3 }
3
x
+
2
x
2
−
x
3
\frac{ x-120500 }{ x } = 0.02
x
x
−
1
2
0
5
0
0
=
0
.
0
2
5- { \left(x-4 \right) }^{ 2 }
5
−
(
x
−
4
)
2
( - 5 ) ^ { 3 } =
(
−
5
)
3
=
6.5 \times 4
6
.
5
×
4
19 \times 9 =
1
9
×
9
=
\left. \begin{array} { l } { 3 t - 3 = 5 } \\ { 4 s - 37 = t } \end{array} \right.
3
t
−
3
=
5
4
s
−
3
7
=
t
\lim _ { x \rightarrow 2 } \frac { \sqrt { x - 1 } - 1 } { \sqrt { x + 2 } - 2 }
lim
x
→
2
x
+
2
−
2
x
−
1
−
1
\lim _ { x \rightarrow 1 } \frac { \sqrt { x } - 1 } { x }
lim
x
→
1
x
x
−
1
( n - 2 \sqrt { 2 } ) ( n + 2 \sqrt { 2 } )
(
n
−
2
2
)
(
n
+
2
2
)
3
3
x = - \frac { 4 } { 3 } + \sqrt { 52 }
x
=
−
3
4
+
5
2
= 1
=
1
f ( x ) = - 12.5 x ^ { 2 } + 1.375 x - 1.500
f
(
x
)
=
−
1
2
.
5
x
2
+
1
.
3
7
5
x
−
1
.
5
0
0
\frac{ 19 }{ 56 } - \frac{ 1 }{ 72 } - \frac{ 10 }{ 84 } + \frac{ 8 }{ 63 } ==
5
6
1
9
−
7
2
1
−
8
4
1
0
+
6
3
8
=
=
\frac { 1 } { 4 }
4
1
( 3 ) \left| \begin{array} { c c } { 3 } & { 15 } \\ { - 5 } & { - 22 } \end{array} \right|
(
3
)
∣
∣
∣
∣
∣
3
−
5
1
5
−
2
2
∣
∣
∣
∣
∣
{ 8 }^{ \frac{ 2 }{ 3 } }
8
3
2
2 x - 5 = - 13
2
x
−
5
=
−
1
3
{ \left( \frac{ 3 }{ 7 } \right) }^{ -2 }
(
7
3
)
−
2
\theta = \frac { \sqrt { 3 } } { 2 }
θ
=
2
3
5 ^ { - 1 } - \frac { 1 } { 2 }
5
−
1
−
2
1
\int x \sqrt { 2 x + 1 }
∫
x
2
x
+
1
(15 \div 3.6)=
(
1
5
÷
3
.
6
)
=
( n - 6 ) ( n - \frac { 1 } { 2 } )
(
n
−
6
)
(
n
−
2
1
)
{ \left( \frac{ 15 }{ 3.6 } \right) }^{ 2 }
(
3
.
6
1
5
)
2
252 \cdot 3
2
5
2
⋅
3
38+2040000 \div 85000
3
8
+
2
0
4
0
0
0
0
÷
8
5
0
0
0
a x ^ { 2 } + 3 x - 3
a
x
2
+
3
x
−
3
7 ( 4 x - 1 ) + 6 x > - 279 ?
7
(
4
x
−
1
)
+
6
x
>
−
2
7
9
?
x ^ { 3 } y ^ { 4 } z ^ { 4 } , x ^ { 2 } y z ^ { 3 } , x ^ { 2 } y ^ { 2 } z ^ { 2 }
x
3
y
4
z
4
,
x
2
y
z
3
,
x
2
y
2
z
2
[ - 2 ) \left| \begin{array} { l l } { 3 } & { 18 } \\ { 4 } & { 10 } \end{array} \right|
[
−
2
)
∣
∣
∣
∣
∣
3
4
1
8
1
0
∣
∣
∣
∣
∣
y = - \frac{ 1 }{ 4 } -4
y
=
−
4
1
−
4
24 { x }^{ 2 } +16xy+8=84
2
4
x
2
+
1
6
x
y
+
8
=
8
4
2 ( y - 1 ) ^ { - 3 } + ( y + 3 ) = 5 ( y + 1 )
2
(
y
−
1
)
−
3
+
(
y
+
3
)
=
5
(
y
+
1
)
| - x ^ { 2 } + x - 1 | \leq 2 x + 5
∣
−
x
2
+
x
−
1
∣
≤
2
x
+
5
x ^ { 2 } - 5 x + 3 y = 20
x
2
−
5
x
+
3
y
=
2
0
\frac { 2 } { 5 }
5
2
\int{ x \sqrt{ 2x++1 } }d x
∫
x
2
x
+
+
1
d
x
\frac { 3 } { 4 } + \frac { 5 } { 6 } - \frac { 15 } { 12 } =
4
3
+
6
5
−
1
2
1
5
=
77 \div 4400
7
7
÷
4
4
0
0
\left. \begin{array} { c } { x _ { 1 } + 2 x _ { 2 } - x _ { 3 } + 3 x _ { 4 } = 0 } \\ { 2 x _ { 1 } + 3 x _ { 2 } - x _ { 3 } + 2 x _ { 4 } = 0 } \\ { x _ { 1 } \quad + 3 x _ { 3 } + 3 x _ { 4 } = 0 } \end{array} \right.
x
1
+
2
x
2
−
x
3
+
3
x
4
=
0
2
x
1
+
3
x
2
−
x
3
+
2
x
4
=
0
x
1
+
3
x
3
+
3
x
4
=
0
949 - 2 =
9
4
9
−
2
=
3 x + 28 \leq 25
3
x
+
2
8
≤
2
5
\left. \begin{array} { l } { \frac { x } { 3 } - \frac { y } { 2 } = 8 } \\ { \frac { x } { 5 } + \frac { y } { 3 } = 1 } \end{array} \right.
3
x
−
2
y
=
8
5
x
+
3
y
=
1
[ \frac { ( f ^ { 3 } g ^ { - 8 } h ) ^ { 7 } } { ( g ^ { 5 } h ^ { - 3 } f ) ^ { - 8 } } ] ^ { 5 }
[
(
g
5
h
−
3
f
)
−
8
(
f
3
g
−
8
h
)
7
]
5
1 - \frac { x } { 4 } > 2
1
−
4
x
>
2
( 1,53 \cdot 3
(
1
,
5
3
⋅
3
x-3+ \frac{ 4 }{ { x }^{ 2 } } =0
x
−
3
+
x
2
4
=
0
- x ^ { 2 } - x - 1 = 0
−
x
2
−
x
−
1
=
0
\frac{ 1 }{ 2 } \times \frac{ 5 }{ 4 }
2
1
×
4
5
949 \div 2 =
9
4
9
÷
2
=
( 6 y ^ { 2 } - 8 y ^ { 3 } + 3 ) 7 y ^ { 5 }
(
6
y
2
−
8
y
3
+
3
)
7
y
5
x ^ { 2 } - 3 x = y + 3
x
2
−
3
x
=
y
+
3
565 : 7 =
5
6
5
:
7
=
x ^ { 2 } + 2 x - 15 \geq 0
x
2
+
2
x
−
1
5
≥
0
\frac{ 2 }{ 5 } \times 3 \frac { 1 } { 9 }
5
2
×
3
9
1
f ( x ) = \frac { 7 } { ( x ^ { 4 } - 5 x ^ { 3 } - 12 x ^ { 2 } + 36 x ) }
f
(
x
)
=
(
x
4
−
5
x
3
−
1
2
x
2
+
3
6
x
)
7
( + \frac { 1 } { 2 } ) + ( + \frac { 2 } { 3 } ) - ( - 1 \frac { 1 } { 6 } )
(
+
2
1
)
+
(
+
3
2
)
−
(
−
1
6
1
)
- 5 x ^ { 4 } y
−
5
x
4
y
( - 2 ) \begin{bmatrix} \begin{array} { l l } { 3 } & { 18 } \\ { 4 } & { 10 } \end{array} \end{bmatrix}
(
−
2
)
[
3
4
1
8
1
0
]
\frac { x - 2 } { 6 } \geq \frac { x - 1 } { 9 } + \frac { 7 } { 18 }
6
x
−
2
≥
9
x
−
1
+
1
8
7
( + \frac { 1 } { 2 } ) - ( + \frac { 2 } { 3 } ) + ( - 1 \frac { 1 } { 6 } ) =
(
+
2
1
)
−
(
+
3
2
)
+
(
−
1
6
1
)
=
\frac { 6 - x } { x - 2 } \leq \frac { 4 - x } { x + 2 }
x
−
2
6
−
x
≤
x
+
2
4
−
x
y = h ^ { - 1 } ( x )
y
=
h
−
1
(
x
)
2 \cdot \pi ( \frac { x } { 2 } ) ^ { 2 } \cdot \sin ( x )
2
⋅
π
(
2
x
)
2
⋅
sin
(
x
)
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