image imagewidth (px) 26 336 | latex stringlengths 2 482 | split stringclasses 4 values |
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z
| train | |
\int x \sin x d x
| 2014 | |
\sum _ { n = 1 } ^ { 5 } ( 2 n + 1 )
| 2014 | |
x ^ { 4 } - x ^ { 5 }
| 2019 | |
\int \frac { \sin ( x ) + 1 } { \sqrt { \cos ^ { 3 } ( x ) + \tan ( x ) } } d x
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( y ^ { 4 } - 1 ) / ( y ^ { 2 } - 1 )
| train | |
\int a = s \int b
| 2016 | |
- | y | \leq y \leq | y |
| 2014 | |
( 1 - t ^ { n } ) a _ { n } ( t ) = \frac { 1 - t ^ { n } } { n ( 1 - t ) } - t ^ { n }
| train | |
\frac { x } { a + \frac { x } { b - \frac { x } { c } } }
| train | |
\lim _ { x \rightarrow 0 } o ( x ) = 0
| 2016 | |
6 , 8 0 7 h + 7 , 7 0 3 c - 8 , 2 4 5
| train | |
\frac { d } { r ^ { X } }
| train | |
x v x ^ { - 1 }
| train | |
\sum _ { a } n _ { a }
| 2019 | |
\frac { 4 } { 3 } \pi r ^ { 3 }
| train | |
4 9 2
| 2014 | |
z _ { 1 } ^ { 2 } + 1 ^ { z } - z _ { 2 } ^ { 2 } + 2 ^ { z }
| train | |
\sqrt { u }
| train | |
\frac { \sin \theta + \cos \theta + \tan \theta } { x + y + z }
| train | |
[ G ] ^ { 0 }
| train | |
\sqrt { x - y - z + x ^ { 2 } + y ^ { 2 } + z ^ { 2 } }
| train | |
z = \int d y a ^ { - 1 } ( y )
| 2019 | |
R
| train | |
1 + 2
| train | |
\frac { \beta + \gamma } { \theta }
| train | |
u _ { 2 } = a ^ { 2 } u _ { 0 } + a b + b
| train | |
\alpha x ( t )
| train | |
( a x ) ( b y ) = ( a b ) ( x y )
| train | |
( x _ { 1 2 } x _ { 2 3 } x _ { 3 4 } x _ { 4 1 } )
| 2019 | |
F \neq H
| 2014 | |
\frac { 3 . 1 0 } { 1 0 + 2 } = \frac { 1 0 . 1 } { 1 + 3 }
| 2019 | |
e _ { + 3 }
| 2016 | |
\sqrt { x } = 1 0 ^ { ( \log x ) / 2 }
| train | |
v _ { c } = v _ { c - 1 } ( \frac { r - c } { c } )
| train | |
\cos ( a + b ) = \cos a \cos b - \sin a \sin b
| train | |
\frac { h } { k ( y ) }
| train | |
\sqrt { 2 } - 1
| train | |
\sqrt { 2 n _ { k } + 1 }
| 2016 | |
a b c d
| train | |
m ^ { 2 }
| 2014 | |
c _ { 1 } + c _ { 2 } + c _ { 3 }
| 2014 | |
\beta _ { m i n }
| train | |
\frac { b ^ { 2 x } } { b ^ { y } }
| 2014 | |
a x + b < c
| train | |
\frac { q - p } { \sqrt { p q } }
| 2014 | |
a + \sqrt { - d } b
| 2019 | |
x = r \cos \theta
| train | |
\frac { y } { f }
| train | |
\lim _ { n \rightarrow \infty } y _ { n } = 0
| 2014 | |
n \neq 8
| 2016 | |
u _ { n } = - 3 n + 1
| train | |
\frac { n } { m }
| train | |
6 5 \pm 5 6 \times ( ( 5 8 + 8 7 ) \times ( 1 1 0 \div 3 5 ) )
| train | |
| \frac { a x _ { 0 } + b y _ { 0 } + c } { \sqrt { a ^ { 2 } + b ^ { 2 } } } |
| train | |
0 \leq x \leq + \infty
| 2016 | |
\frac { a } { L _ { j } }
| train | |
\lim _ { x \rightarrow 0 } x ^ { x } = 1
| train | |
\cos ^ { 3 } y = \frac { 1 } { 4 } ( \cos 3 y + 3 \cos y )
| train | |
\sum _ { i = 2 n + 3 m } ^ { 1 0 } i x
| train | |
n ^ { 2 } + n
| train | |
g = { \frac { \sqrt { 1 - A r ^ { 2 } } } { a ^ { 3 } r ^ { 2 } \sin \theta } }
| 2016 | |
\sum _ { n = 1 } ^ { \infty } ( b _ { n } - b _ { n + 1 } )
| train | |
\log _ { 2 } 8 + \log _ { 3 } 9 + \log _ { 4 } 1 6
| train | |
- \int 2 . 4 d a
| train | |
( 1 5 5 + 1 3 2 - 6 8 ) \div 6 1 = 3 . 5 9
| train | |
- F + G
| train | |
n ^ { \log _ { 2 } ( 3 ) }
| train | |
\lim _ { e \rightarrow \infty } R ( e ) / e = 0
| 2019 | |
3 x = 5 0
| train | |
t = \sum _ { a } t _ { a }
| 2016 | |
x \times ( + \infty )
| train | |
\int \limits _ { 0 } ^ { \infty } \frac { \sin ^ { 2 } x } { x ^ { 2 } } d x = \frac { \pi } { 2 }
| train | |
\frac { 2 - L } { - r + \frac { a } { R } }
| train | |
\frac { 4 } { 3 } \pi r ^ { 3 }
| train | |
z
| train | |
[ b ^ { x } \{ ( \frac { a } { b } ) ^ { x } + 1 \} ] ^ { \frac { 1 } { x } }
| train | |
u \times u
| 2016 | |
9
| train | |
\sqrt { n + S }
| train | |
x = \cos L t
| 2019 | |
d t = d t _ { 0 }
| train | |
9
| train | |
\lim _ { y \rightarrow \infty } y \sin ( \frac { c } { y } ) = c
| train | |
\sum _ { i = 2 n + 3 m } ^ { 1 0 } i x
| train | |
( a ) ^ { - 1 } - 1
| train | |
e = m c ^ { 2 }
| train | |
\frac { 1 + \frac { 3 } { 5 } x + \frac { 3 } { 2 0 } x ^ { 2 } + \frac { 1 } { 6 0 } x ^ { 3 } } { 1 - \frac { 2 } { 5 } x + \frac { 1 } { 2 0 } x ^ { 2 } }
| train | |
\sqrt [ n ] { 1 } = \cos \frac { 2 k \pi } { n } + i \sin \frac { 2 k \pi } { n }
| train | |
\sqrt { - g }
| 2019 | |
e ^ { - t } \cos 2 ^ { t }
| 2014 | |
\frac { ( x + 2 ) ( x + 3 ) } { ( x + 3 ) }
| 2014 | |
z _ { 1 } ^ { 5 } + z _ { 2 } ^ { 5 } + z _ { 3 } ^ { 5 } + z _ { 4 } ^ { 5 } + z _ { 5 } ^ { 5 } = 0
| 2016 | |
7
| train | |
1
| train | |
\sum _ { n = 1 } ^ { \infty } ( \frac { \sum _ { i = 1 } ^ { n } a _ { i } } { n } ) ^ { p } < ( \frac { p } { p - 1 } ) ^ { p } \sum _ { n = 1 } ^ { \infty } a _ { n } ^ { p }
| train | |
z = \frac { x } { 1 + x }
| 2016 | |
z \pm c t
| train | |
o P
| train | |
\int \frac { 1 } { y } + \frac { 1 } { 1 - y } d y = \int d x
| train |
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