image
imagewidth (px)
26
336
latex
stringlengths
2
482
split
stringclasses
4 values
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
train
( 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