Datasets:
deepcopy
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Azu-Handwritten-Mathematical-Expression

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\frac { 3 x + y } { z } = ( \frac { A - 1 } { x ^ { 2 } + y ^ { 2 } } )
train
\sin x - \sin y - \sin ( x - y )
train
V = a _ { 1 } + a _ { 2 } \cos \theta + a _ { 3 } \cos 2 \theta
2016
G \int _ { Y } ^ { \int N d o } E d \Delta
train
\frac { 1 } { 2 \pi } \int d k _ { l o o p } \int d l _ { l o o p }
2019
2 \pi n = \int B
2016
V p
train
\lim _ { x \rightarrow \frac { \pi } { 2 } + 0 } \tan x = - \infty
train
y ^ { 2 } = y ^ { a } y ^ { a }
2019
\lim _ { n \rightarrow + \infty } u _ { n }
train
\sqrt { g } ^ { ( 1 . 1 ) }
train
\alpha
train
9 + 9
2016
\frac { a } { \sin A } = \frac { b } { \sin B } = \frac { c } { \sin C }
train
x = | a - b | + 1 + 2 n
2016
f ( x , y )
train
( t , x , y , z ) = x ^ { a }
train
3 . 1
train
\tan ( \theta ) = 1
2019
x < \frac { c - b } { a }
train
\sum _ { i = 2 n + 3 m } ^ { 1 0 } i x
train
\frac { 1 } { \frac { 1 } { 2 } ( \frac { 1 } { a } + \frac { 1 } { b } ) } = \frac { 2 a b } { a + b }
train
a ^ { b ^ { c ^ { d } } }
train
2 . 8
train
2 x ^ { 2 } + 8 x + 8 - 6
2014
\frac { r ^ { F } } { u M }
train
[ 9 ]
train
z < p
2014
\frac { \tan \alpha - \tan \beta } { 1 + \tan \alpha \tan \beta }
train
\int _ { 0 } ^ { \pi } ( \sin ( t ) - t ) d t = 2 - \frac { 1 } { 2 } \pi ^ { 2 }
2014
E _ { k } = \frac { 1 } { 2 } m _ { 1 } v _ { 1 } ^ { 2 } + \frac { 1 } { 2 } m _ { 2 } v _ { 2 } ^ { 2 }
train
a = - 1 \times 9
train
x _ { 1 } - x _ { 2 } + y _ { 1 } - y _ { 2 } + z _ { 1 } - z _ { 2 }
train
( \frac { B } { A + 1 } ) ^ { \frac { 1 } { n + 1 } }
2019
\int \limits _ { 3 } ^ { 6 } \int \limits _ { 2 } ^ { 4 } 2 d x d y = 2 \cdot ( 6 - 3 ) \cdot ( 4 - 1 2 ) = 1 2
train
T ^ { d + v } [ \mu ]
train
P a
2014
d ^ { 2 } x \sqrt { h ( x ) }
2019
[ b ^ { x } \{ ( \frac { a } { b } ) ^ { x } + 1 \} ] ^ { \frac { 1 } { x } }
train
\log _ { 2 } \frac { 1 } { 2 } + \log _ { 4 } \frac { 2 } { 4 }
train
[ g ^ { w } ( y ) ]
train
4 X ^ { 3 } - 7 X ^ { 2 } + 3 X - 5 = ( X - 2 ) ( 4 X ^ { 2 } + X + 5 ) + 5
train
y ^ { 4 } + y + 1 = 0
train
z = 0
train
\pi ( e _ { 1 } )
train
\frac { 9 } { 4 }
2016
j
train
\frac { - b \pm \sqrt { b ^ { 2 } - 4 a c } } { 2 a }
train
x ^ { i + 2 j \times k ^ { 3 } - 2 \frac { j } { i } }
train
\frac { B } { c - 0 }
train
G
train
r = r ( \theta )
train
( 1 6 6 - 1 2 2 + 3 2 ) + ( ( 1 0 6 \div 3 0 ) \div ( 3 0 \div 1 8 ) ) \geq 7 7
train
n ^ { 2 } + n - n
2014
( b ^ { e } )
train
\tan M = \sin M / \cos M
2016
\sum y - I
train
\frac { 2 } { \frac { 3 m - 2 n \times 9 ^ { n } - 9 ^ { m } } { 2 n - 1 } }
train
\sin \theta = \frac { y } { \sqrt { x ^ { 2 } + y ^ { 2 } } }
train
F ( x , y , z ) = G ( x , y ) + H ( y , z ) + 2 1
train
\sqrt { \frac { 1 } { a } }
2019
a ^ { n } - b ^ { n }
train
g - s
train
\sqrt { \frac { 1 } { n } \sum _ { k = 1 } ^ { n } ( a _ { k } ) ^ { 2 } } \geq \frac { 1 } { n } \sum _ { k = 1 } ^ { n } a _ { k }
train
\tan ( 5 x ) = \frac { 5 \tan ( x ) - 1 0 \tan ^ { 3 } ( x ) + \tan ^ { 5 } ( x ) } { 1 - 1 0 \tan ^ { 2 } ( x ) + 5 \tan ^ { 4 } ( x ) }
2014
\sqrt { x ^ { 2 } }
2019
f
train
2 . 9 g
train
( h , k ) = 1
train
p = n - k
train
I
train
8 7
train
\int \limits _ { 0 } ^ { \infty } \sqrt { x } e ^ { - x } d x = \frac { 1 } { 2 } \sqrt { \pi }
train
\frac { N } { V }
train
( \sin ( x ) ^ { 2 } + 3 \cos ( x ) ^ { 2 } ) ^ { 4 }
train
2 \times 2 ^ { 8 }
train
X q ^ { X }
train
8 + \frac { 8 \times 7 } { 2 } = 3 6
2019
\sigma
train
a _ { 2 } = - \frac { 3 - \sqrt { 3 } } { 4 } a _ { 1 }
2016
p = \sqrt { a ^ { 2 } + b ^ { 2 } - 2 a b \cos A }
train
\lim _ { n \rightarrow \infty } n ^ { \frac { 1 } { n } } = 1
train
f _ { d } = \frac { A _ { m a x } - A } { A _ { m a x } - A _ { m i n } }
2014
x ^ { 3 } + 3 x ^ { 2 } y + 3 x y ^ { 2 } + y ^ { 3 }
2014
\Delta \geq 3
2019
2 5 - 8 2 \leq - 5 6
train
f - R = \sum z
train
8
train
a \times a
2016
\sin \phi = 2 \sin \frac { \phi } { 2 } \cos \frac { \phi } { 2 }
2016
\frac { 1 } { \sin ( x ) + 1 }
train
3 \times 3 \times 3 + 1 0 \times 3 + 3
2019
\gamma ( t )
train
t = 0 . 4 , 0 . 4 5 , 0 . 5 , 0 . 5 5 , 0 . 6
2016
\theta _ { 1 } , \ldots , \theta _ { n }
2014
a _ { n } s _ { 3 } + a _ { n - 1 } s _ { 2 } + a _ { n - 2 } s _ { 1 } + 3 a _ { n - 3 } = 0
train
\frac { y ^ { a } _ { n } } { y ^ { b } _ { n } }
2019
1 7 9 \times 1 8 8 = 3 3 6 5 2
train
f _ { 2 } , g _ { 2 }
train
x ( t ) = x ( t - 1 )
train