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Popular Geometry Problems

y^2-x=4	y^{2}-x=4
y^2-y-x^2=0	y^{2}-y-x^{2}=0
((x-7)^2)/(64)-((y-6)^2)/(36)=1	\frac{(x-7)^{2}}{64}-\frac{(y-6)^{2}}{36}=1
(y^2)/(144)-(x^2)/(25)=1	\frac{y^{2}}{144}-\frac{x^{2}}{25}=1
25y^2-x^2=100	25y^{2}-x^{2}=100
p^2+p=q^2	p^{2}+p=q^{2}
9x^2-4y^2-36=0	9x^{2}-4y^{2}-36=0
9x^2-16y^2-108x+128y+212=0	9x^{2}-16y^{2}-108x+128y+212=0
x^2-4y^2=36	x^{2}-4y^{2}=36
-25x^2+9y^2=225	-25x^{2}+9y^{2}=225
9y^2-25x^2=225	9y^{2}-25x^{2}=225
x^2=-32y	x^{2}=-32y
((x-5)^2)/4-((y+1)^2)/(49)=1	\frac{(x-5)^{2}}{4}-\frac{(y+1)^{2}}{49}=1
4(y-3)^2-9(x-2)^2=36	4(y-3)^{2}-9(x-2)^{2}=36
(x^2)/(25)-(y^2)/(144)=1	\frac{x^{2}}{25}-\frac{y^{2}}{144}=1
36x^2-y^2-216x+10y+263=0	36x^{2}-y^{2}-216x+10y+263=0
x^2-4y^2+8y-8=0	x^{2}-4y^{2}+8y-8=0
(x^2)/(16)-((y+4)^2)/(81)=1	\frac{x^{2}}{16}-\frac{(y+4)^{2}}{81}=1
9x^2-4y^2-36x+8y-4=0	9x^{2}-4y^{2}-36x+8y-4=0
y^2=x^2-2	y^{2}=x^{2}-2
16x^2-20y^2-320=0	16x^{2}-20y^{2}-320=0
5x^2-2y^2+10x-12y=23	5x^{2}-2y^{2}+10x-12y=23
3x^2+3y=6	3x^{2}+3y=6
y^2-9x^2=4	y^{2}-9x^{2}=4
4x^2-9y^2+3x+18y+91=0	4x^{2}-9y^{2}+3x+18y+91=0
x^2-y^2-9=0	x^{2}-y^{2}-9=0
y^2+2y=4x^2+3	y^{2}+2y=4x^{2}+3
10y^2-9x^2=80	10y^{2}-9x^{2}=80
((x-1)^2)/4-((y+3)^2)/(16)=1	\frac{(x-1)^{2}}{4}-\frac{(y+3)^{2}}{16}=1
x^2-2y^2+4x+4y+4=0	x^{2}-2y^{2}+4x+4y+4=0
-x^2+4y^2+2x+24y+31=0	-x^{2}+4y^{2}+2x+24y+31=0
9x^2-16y^2-18x+64y-199=0	9x^{2}-16y^{2}-18x+64y-199=0
3631+896x-54y=9y^2-64x^2	3631+896x-54y=9y^{2}-64x^{2}
4x^2+15y=0	4x^{2}+15y=0
4x^2-16y^2-64=0	4x^{2}-16y^{2}-64=0
3y^2-3x^2-15=0	3y^{2}-3x^{2}-15=0
(x^2)/9-9y^2=1	\frac{x^{2}}{9}-9y^{2}=1
4y^2-9x^2+36x-24y-36=0	4y^{2}-9x^{2}+36x-24y-36=0
25y^2-9x^2=225	25y^{2}-9x^{2}=225
2x^2-4y^2+8x-12y+64=0	2x^{2}-4y^{2}+8x-12y+64=0
4x^2-y^2-2y-5=0	4x^{2}-y^{2}-2y-5=0
4x^2-9y^2-24x-36y-36=0	4x^{2}-9y^{2}-24x-36y-36=0
y^2-2=x^2-2x	y^{2}-2=x^{2}-2x
x^2-(y-1)^2=4	x^{2}-(y-1)^{2}=4
radius x^2+y^2=25	radius\:x^{2}+y^{2}=25
X^2-6Y=0	X^{2}-6Y=0
x^2-y^2+6x-4y-4=0	x^{2}-y^{2}+6x-4y-4=0
(y^2)/(16)-(x^2)/(36)=1	\frac{y^{2}}{16}-\frac{x^{2}}{36}=1
16x^2-9y^2-96x+288=0	16x^{2}-9y^{2}-96x+288=0
((x+4)^2)/4-((y+3)^2)/4 =1	\frac{(x+4)^{2}}{4}-\frac{(y+3)^{2}}{4}=1
24x^2-9y^2=216	24x^{2}-9y^{2}=216
4x^2-6y^2=9	4x^{2}-6y^{2}=9
4x^2-2x-4y^2-4=0	4x^{2}-2x-4y^{2}-4=0
3x^2-y^2=3	3x^{2}-y^{2}=3
y^2-16x^2+64x-208=0	y^{2}-16x^{2}+64x-208=0
9x^2-9y^2-18x+54=0	9x^{2}-9y^{2}-18x+54=0
(y-0)^2=8(x-1)	(y-0)^{2}=8(x-1)
y^2-4x^2+16x-2y=31	y^{2}-4x^{2}+16x-2y=31
(3y+3)^2+x=(x-4)^2	(3y+3)^{2}+x=(x-4)^{2}
4y^2-9x^2+16y+18x=29	4y^{2}-9x^{2}+16y+18x=29
-y^2+z^2=1	-y^{2}+z^{2}=1
4y^2-x^2+40y-4x+60=0	4y^{2}-x^{2}+40y-4x+60=0
((x+5)^2)/4-(y^2)/4 =1	\frac{(x+5)^{2}}{4}-\frac{y^{2}}{4}=1
9x^2-4y^2-18x-16y+29=0	9x^{2}-4y^{2}-18x-16y+29=0
y^2-25x^2+8y-9=0	y^{2}-25x^{2}+8y-9=0
x^2-y^2-4=0	x^{2}-y^{2}-4=0
49x^2-36y^2=1764	49x^{2}-36y^{2}=1764
2x^2-50y=0	2x^{2}-50y=0
((x^2)/4)-((y^2)/9)=1	(\frac{x^{2}}{4})-(\frac{y^{2}}{9})=1
(x^2)/(14)-(y^2)/(30)=1	\frac{x^{2}}{14}-\frac{y^{2}}{30}=1
3x+2x^2-3y-2y^2+1=0	3x+2x^{2}-3y-2y^{2}+1=0
4y^2-x^2-40y+8x+80=0	4y^{2}-x^{2}-40y+8x+80=0
x^2-y^2=x	x^{2}-y^{2}=x
3x^2-6y^2-36=0	3x^{2}-6y^{2}-36=0
(x-5)^2-(y+1)^2=2	(x-5)^{2}-(y+1)^{2}=2
9y^2-25x^2-100x-108y-1=0	9y^{2}-25x^{2}-100x-108y-1=0
(x^2)/6-(y^2)/(25)=1	\frac{x^{2}}{6}-\frac{y^{2}}{25}=1
x^2-y^2+4=0	x^{2}-y^{2}+4=0
(y+2)^2=-8(x+3)	(y+2)^{2}=-8(x+3)
4x^2-y^2-16x+2y+3=0	4x^{2}-y^{2}-16x+2y+3=0
(x^2)/9-(y^2)/9 =1	\frac{x^{2}}{9}-\frac{y^{2}}{9}=1
x^2-y^2-3x+5y-16=0	x^{2}-y^{2}-3x+5y-16=0
x^2-9y^2-10x+36y-2=0	x^{2}-9y^{2}-10x+36y-2=0
(x^2)/2-y^2=1	\frac{x^{2}}{2}-y^{2}=1
(y-2)^2-4(x+2)^2=4	(y-2)^{2}-4(x+2)^{2}=4
x^2+y=x+y^2+2018	x^{2}+y=x+y^{2}+2018
((x-2)^2)/9-((y-1)^2)/(16)=1	\frac{(x-2)^{2}}{9}-\frac{(y-1)^{2}}{16}=1
((x-2)^2)/4-((y+3)^2)/5 =1	\frac{(x-2)^{2}}{4}-\frac{(y+3)^{2}}{5}=1
((x-4)^2)/(36)-((y+3)^2)/(25)=1	\frac{(x-4)^{2}}{36}-\frac{(y+3)^{2}}{25}=1
y=x^2-6	y=x^{2}-6
x^2-y^2=36	x^{2}-y^{2}=36
x^2-4y^2+6x+8y=-1	x^{2}-4y^{2}+6x+8y=-1
((x-3)^2)/9-((y+1)^2)/(16)=1	\frac{(x-3)^{2}}{9}-\frac{(y+1)^{2}}{16}=1
(x^2)/(4+y^2)=1	\frac{x^{2}}{4+y^{2}}=1
25y^2-4x^2=100	25y^{2}-4x^{2}=100
4x^2-9y^2-48x-72y+108=0	4x^{2}-9y^{2}-48x-72y+108=0
9x^2-4y^2-40y-136=0	9x^{2}-4y^{2}-40y-136=0
4x^2-y^2-8x-4y-4=0	4x^{2}-y^{2}-8x-4y-4=0
(y^2}{64}-\frac{x^2)/9 =1	\frac{y^{2}}{64}-\frac{x^{2}}{9}=1
x^2-y^2=105	x^{2}-y^{2}=105

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