image imagewidth (px) 26 336 | latex stringlengths 2 482 | split stringclasses 4
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\frac { 5 } { x + 1 } + \frac { 5 } { x ^ { 2 } + x }
| train | |
\int A _ { m }
| 2016 | |
1 - v = z + x - z x
| 2016 | |
\int \sqrt { g } R
| 2016 | |
\sum _ { k = 1 } ^ { p } i _ { k } + \sum _ { k = 1 } ^ { q } j _ { k }
| 2019 | |
\frac { 1 } { a } F ( a x + b ) + C
| train | |
H
| train | |
\sum _ { i = 1 } ^ { n } [ i ^ { k + 1 } - ( i - 1 ) ^ { k + 1 } ] = n ^ { k + 1 }
| 2014 | |
\beta _ { t }
| train | |
( 1 ) + ( 6 + 6 ) + ( 1 + 3 \times 6 ) = 3 2
| 2016 | |
\frac { x ^ { 2 } + 1 2 3 } { 4 }
| train | |
x = [ x ] { + } f _ { x }
| 2016 | |
[ \frac { F } { u } ]
| train | |
\sum _ { I \geq j } C - g
| train | |
x _ { i } - x _ { i + 1 } + x _ { i + 2 }
| train | |
v _ { a } \Delta
| train | |
\sum _ { i = 1 } ^ { 6 } i ^ { 2 } = 1 ^ { 2 } + 2 ^ { 2 } + 3 ^ { 2 } + 4 ^ { 2 } + 5 ^ { 2 } + 6 ^ { 2 }
| train | |
\int ( 2 ^ { x } - 3 e ^ { x } ) d _ { x }
| train | |
\frac { - 2 y } { x ^ { 2 } - y ^ { 2 } } = \frac { - 2 y } { x ^ { 2 } - y ^ { 2 } }
| 2014 | |
2 0
| train | |
o \in X
| 2019 | |
\int ( 2 ^ { x } - 3 e ^ { x } ) d x
| train | |
e ^ { \int x ^ { 2 } d x }
| train | |
\sqrt { a ^ { 3 } } + a ^ { 4 }
| train | |
y \rightarrow \sqrt { n } y
| 2016 | |
f _ { p } ( x ) = 4 p x ( 1 - x )
| train | |
4 + 4 + 2 \times 6 = 2 0
| train | |
\sum _ { 0 } ^ { \infty } \frac { 1 } { n ^ { 2 } }
| train | |
( x + 1 ) ^ { n + 1 } = ( x + 1 ) ( x + 1 ) ^ { n }
| train | |
o ^ { o }
| train | |
\int _ { 0 } ^ { \pi } \cos ( \frac { \theta } { 2 } ) d \theta
| train | |
a ^ { m + a + N }
| train | |
m
| train | |
\frac { \tan \alpha - \tan \beta } { 1 + \tan \alpha \tan \beta }
| train | |
t = p \tan \theta
| 2019 | |
x _ { x } ^ { x } + y _ { y } ^ { y } + z _ { z } ^ { z } - x - y - z
| train | |
\int \limits _ { a } ^ { b } f ( x ) d x = F ( b ) - F ( a )
| train | |
a _ { n } = \frac { - i \sqrt { n } } { 2 } ( q _ { n } + i \frac { 2 } { n } p _ { n } )
| 2016 | |
C _ { 1 } y _ { 1 } ^ { ( n - 1 ) } + C _ { 2 } y _ { 2 } ^ { ( n - 1 ) } + \ldots + C _ { n } y _ { n } ^ { ( n - 1 ) } = 0
| 2014 | |
[ b ^ { x } \{ ( \frac { a } { b } ) ^ { x } + 1 \} ] ^ { \frac { 1 } { x } }
| train | |
g ( x , y ) = \sqrt [ 3 ] { x - y } + \sqrt { | x + y | }
| train | |
\sum _ { \Delta \geq \sum H } \cdots + \int \frac { H } { b } d T
| train | |
\frac { 1 + 2 } { 3 }
| train | |
\beta = 2 \cos ( \frac { \pi } { 5 } ) = \frac { 1 + \sqrt { 5 } } { 2 }
| 2016 | |
\frac { 1 } { n ^ { 2 } } \leq \frac { 1 } { n - 1 } - \frac { 1 } { n }
| train | |
p
| train | |
( k - b - c ) \times ( a - b )
| 2019 | |
d \geq 7
| 2016 | |
\log 5 + \log 4 x = 2
| train | |
\frac { x ^ { 4 } } { 2 ^ { 3 } } - ( \frac { 2 } { x } ) ^ { - 4 }
| train | |
a + \frac { \sqrt { b + c } } { 2 }
| train | |
c ^ { 2 } = a ^ { 2 } + b ^ { 2 } - 2 a b \cos C
| train | |
2 8 . 9 4 \pi
| train | |
4
| train | |
\forall a \in I
| 2016 | |
c _ { a b c } y ^ { a } y ^ { b } y ^ { c }
| 2016 | |
y = 1 5 x + 7
| train | |
s _ { i } = \sin \theta _ { i }
| 2016 | |
1 3 5 \div 1 1 9 \geq 0
| train | |
a + \frac { \sqrt { b + c } } { 2 }
| train | |
1 3 + \pi r ^ { 2 }
| train | |
\lim _ { x \rightarrow c } f ( x ) = L
| 2014 | |
\cdots - 4 . 2
| train | |
\int ( 2 ^ { x } - 3 e ^ { x } ) d x
| train | |
\sum X
| train | |
\frac { ( z - 2 ) } { ( 7 - z ) }
| train | |
\sum n _ { i }
| 2016 | |
\frac { 2 } { \frac { 3 m - 2 n \times 9 ^ { n } - 9 ^ { m } } { 2 n - 1 } }
| train | |
4
| train | |
( \frac { 1 } { m ^ { 2 } } - \frac { 3 m } { n } + \frac { 2 } { m n } )
| train | |
j
| train | |
\frac { 2 \tan \alpha } { 1 - \tan ^ { 2 } \alpha }
| train | |
f ^ { ' } ( x ) = \frac { 1 } { 2 \sqrt { x } }
| train | |
\frac { 1 } { 2 } x = 1 0
| train | |
\sum _ { m } f ( m + 3 )
| train | |
a = i ( \frac { l - 1 } { 2 \beta } - \frac { k - 1 } { 2 } \beta )
| 2019 | |
y = v \sin ( u )
| train | |
\cdots + g
| train | |
g
| train | |
8 + 6 + 6 + 6 + 6 + 6
| 2019 | |
( x ^ { 2 } - 5 ) ^ { 2 } - 2 4
| train | |
w \sum P
| train | |
1 5 \pi
| 2014 | |
n _ { e H }
| train | |
\sqrt { 1 + \sqrt { 1 + z ^ { 2 } } }
| train | |
3 9
| 2019 | |
r \rightarrow \infty
| 2014 | |
\lim _ { n \rightarrow \infty } s _ { n } = 0
| 2016 | |
\sum \alpha _ { i } + \sum \beta _ { i } = 1
| 2016 | |
a = m = \frac { n _ { 2 } } { n _ { 1 } }
| train | |
\frac { 1 + \frac { 3 } { 4 } x + \frac { 1 } { 4 } x ^ { 2 } + \frac { 1 } { 2 4 } x ^ { 3 } } { 1 - \frac { 1 } { 4 } x }
| train | |
\tan ( \frac { \pi } { 4 } ) = 1
| train | |
x _ { 1 } \times x _ { 2 } \times x _ { 3 } \times x _ { 4 } = X
| train | |
\frac { 2 } { \sqrt { 3 } } - \frac { 1 } { 2 \sqrt { 3 } } = \frac { 1 } { 2 \sqrt { 3 } } - ( - \frac { 1 } { \sqrt { 3 } } ) = \frac { \sqrt { 3 } } { 2 }
| 2016 | |
x = y + 2
| train | |
a _ { 3 } = 3 2
| train | |
m _ { 1 } = \frac { h ( X _ { 1 } ) + \ldots + h ( X _ { n } ) } { n }
| train | |
\sin x - \sin y - \sin ( x - y )
| train | |
\sum _ { i } d _ { i } = d
| 2016 | |
( 8 9 - ( 8 6 \times 4 ) ) / ( ( 1 9 6 / 1 6 8 ) + 1 2 5 ) \leq - 1
| train |
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