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18y^2-4x^2=1	18y^{2}-4x^{2}=1
11^2-x^2+y^2=9^2	11^{2}-x^{2}+y^{2}=9^{2}
9(x-3)^2-4(y-1)^2=-36	9(x-3)^{2}-4(y-1)^{2}=-36
x^2-y^2-2x-2y-1=0	x^{2}-y^{2}-2x-2y-1=0
solvefor x,h(x)^2=13x^2-6x+1	solvefor\:x,h(x)^{2}=13x^{2}-6x+1
(8(x^2-1/4))/(9/2)-9y^2 9/2 =(9/2)/(9/2)	\frac{8(x^{2}-\frac{1}{4})}{\frac{9}{2}}-9y^{2}\frac{9}{2}=\frac{\frac{9}{2}}{\frac{9}{2}}
9x^2-y^2=144	9x^{2}-y^{2}=144
((x+4)^2)/4-((y-5)^2)/(45)=1	\frac{(x+4)^{2}}{4}-\frac{(y-5)^{2}}{45}=1
(-x^2)/(36)+(y^2)/(16)=1	\frac{-x^{2}}{36}+\frac{y^{2}}{16}=1
(a^2-4b^2-15)/pi =0	\frac{a^{2}-4b^{2}-15}{π}=0
x^2-1y^2=13	x^{2}-1y^{2}=13
-9x^2+36x+4y^2-24y=63	-9x^{2}+36x+4y^{2}-24y=63
3x^2-4y^2+3-6x+16y-18=0	3x^{2}-4y^{2}+3-6x+16y-18=0
(y^2)/(625)-(x^2)/(2500)=1	\frac{y^{2}}{625}-\frac{x^{2}}{2500}=1
x^2-y^2=-16	x^{2}-y^{2}=-16
-x^2+2x+4y^2+24y+31=0	-x^{2}+2x+4y^{2}+24y+31=0
9x^2-9y^2=9	9x^{2}-9y^{2}=9
(x+y)(x-y)=119	(x+y)(x-y)=119
y^2-4x^2-4y+24x=48	y^{2}-4x^{2}-4y+24x=48
x^2-4y^2+2x-16y-19=0	x^{2}-4y^{2}+2x-16y-19=0
(x^2-4x)-(y^2+4y)=1	(x^{2}-4x)-(y^{2}+4y)=1
6x^2-3y^2+36x+30y=39	6x^{2}-3y^{2}+36x+30y=39
y^2-4=9x^2	y^{2}-4=9x^{2}
(4-4x)^2-4(2k(x)+2)(k(x)-2)=0	(4-4x)^{2}-4(2k(x)+2)(k(x)-2)=0
4x^2-y^2-32x-2y=-59	4x^{2}-y^{2}-32x-2y=-59
x^2-y^2=-45	x^{2}-y^{2}=-45
y^2=(x^2-2x)	y^{2}=(x^{2}-2x)
4x^2-9y^2+8x+72y-203=0	4x^{2}-9y^{2}+8x+72y-203=0
(27x^2)/4-9y^2-54x-18y+225/4 =0	\frac{27x^{2}}{4}-9y^{2}-54x-18y+\frac{225}{4}=0
9y^2-16x^2-90y-128x-175=0	9y^{2}-16x^{2}-90y-128x-175=0
x^2-1y^2=88	x^{2}-1y^{2}=88
(x^2)/(64)-(y^2)/(49)=1	\frac{x^{2}}{64}-\frac{y^{2}}{49}=1
(x^2)/3-(y^2)/8 =1	\frac{x^{2}}{3}-\frac{y^{2}}{8}=1
(x+3)^2-y^2=159	(x+3)^{2}-y^{2}=159
y^2-2x^2+4x-4y=0	y^{2}-2x^{2}+4x-4y=0
9x^{(2)}-36x-16y^{(2)}-32y=124	9x^{(2)}-36x-16y^{(2)}-32y=124
y=(x^2-y^2)	y=(x^{2}-y^{2})
4x^2-24x-36y^2-360y+864=0	4x^{2}-24x-36y^{2}-360y+864=0
x^2-6x-6=y^2+6y+6	x^{2}-6x-6=y^{2}+6y+6
y^2=2x^2+8	y^{2}=2x^{2}+8
y^2=2x^2+2	y^{2}=2x^{2}+2
-36y^2+100x^2-1600=0	-36y^{2}+100x^{2}-1600=0
((x-1)^2)/(16)-((y+6)^2)/(49)=1	\frac{(x-1)^{2}}{16}-\frac{(y+6)^{2}}{49}=1
((y+2)^2)/4-((x+3)^2)/9 =1	\frac{(y+2)^{2}}{4}-\frac{(x+3)^{2}}{9}=1
solvefor x,r(x)^2=(x-0.5)^2+(x+0.5)^2	solvefor\:x,r(x)^{2}=(x-0.5)^{2}+(x+0.5)^{2}
25(x-3)^2-5(y-1)^2=125	25(x-3)^{2}-5(y-1)^{2}=125
pi(a^2-b^2)=(49pi)/2	π(a^{2}-b^{2})=\frac{49π}{2}
a^2-b^2=891	a^{2}-b^{2}=891
((x+2)^2)/(10)-((y+4)^2)/(25)=1	\frac{(x+2)^{2}}{10}-\frac{(y+4)^{2}}{25}=1
((x+3)^2)/4-((y-2)^2)/2 =2	\frac{(x+3)^{2}}{4}-\frac{(y-2)^{2}}{2}=2
x^2-4y^2+16=0	x^{2}-4y^{2}+16=0
9x^2-54x+9-4y^2-8y-113=0	9x^{2}-54x+9-4y^{2}-8y-113=0
y^2=9(1+x^2)	y^{2}=9(1+x^{2})
(x^2)/(12)-(y^2)/(16)=1	\frac{x^{2}}{12}-\frac{y^{2}}{16}=1
244-98y+324x-49y^2+81x^2=0	244-98y+324x-49y^{2}+81x^{2}=0
3a^2-20b^2-100=0	3a^{2}-20b^{2}-100=0
x^2-6x+8y-y^2=0	x^{2}-6x+8y-y^{2}=0
c^2=5^2+a^2	c^{2}=5^{2}+a^{2}
9x^2-18x-4y^2-16y=43	9x^{2}-18x-4y^{2}-16y=43
(y^2)/(25)-(x^2)/(49)=1	\frac{y^{2}}{25}-\frac{x^{2}}{49}=1
3x^2-2y^2+3x-4y-12=0	3x^{2}-2y^{2}+3x-4y-12=0
((x-2)^2)/9-((y+1)^2)/(16)=1	\frac{(x-2)^{2}}{9}-\frac{(y+1)^{2}}{16}=1
x^2-y^2=96	x^{2}-y^{2}=96
((x-0)^2)/((2)^2)-((y-k)^2)/((2)^2)=1	\frac{(x-0)^{2}}{(2)^{2}}-\frac{(y-k)^{2}}{(2)^{2}}=1
3y^2-x^2+24y-2x=0	3y^{2}-x^{2}+24y-2x=0
x^2-y^2=60	x^{2}-y^{2}=60
x^2-y^2=67	x^{2}-y^{2}=67
5x^2-y^2>= 13	5x^{2}-y^{2}\ge\:13
5x^2-y^2>= 11	5x^{2}-y^{2}\ge\:11
((y+3)^2)/(64)-((x-2)^2)/(81)=1	\frac{(y+3)^{2}}{64}-\frac{(x-2)^{2}}{81}=1
x^2-y^2-4y=1	x^{2}-y^{2}-4y=1
x^2-4y^2-10x-40y-100=0	x^{2}-4y^{2}-10x-40y-100=0
3x^2+6x=0.3y^2-6y	3x^{2}+6x=0.3y^{2}-6y
x^2-y^2=45	x^{2}-y^{2}=45
(x^2)/(16)-(y^2)/(81)=1	\frac{x^{2}}{16}-\frac{y^{2}}{81}=1
x^2-9y^2+8x+36y-29=0	x^{2}-9y^{2}+8x+36y-29=0
7y^2-12x^2=84	7y^{2}-12x^{2}=84
x^2-y^2= 1/2	x^{2}-y^{2}=\frac{1}{2}
y^2-((x^2)/(64))=1	y^{2}-(\frac{x^{2}}{64})=1
x^2-y^2=50	x^{2}-y^{2}=50
x^2-y^2=51	x^{2}-y^{2}=51
6x^2+12x+13=2y^2+4	6x^{2}+12x+13=2y^{2}+4
4x^2-25y^2=16	4x^{2}-25y^{2}=16
(x+1)^2-(y+1)^2=2193	(x+1)^{2}-(y+1)^{2}=2193
(x^2}{25}-\frac{(y-3)^2)/4 =1	\frac{x^{2}}{25}-\frac{(y-3)^{2}}{4}=1
y^2-324x^2=-36	y^{2}-324x^{2}=-36
((y^2)}{27}-\frac{(x^2))/0 =1	\frac{(y^{2})}{27}-\frac{(x^{2})}{0}=1
(x-3)^2-(y^2)/9 =1	(x-3)^{2}-\frac{y^{2}}{9}=1
8x^2-9y^2-63x-18y+65=0	8x^{2}-9y^{2}-63x-18y+65=0
s^2=d^2+2^2	s^{2}=d^{2}+2^{2}
2x^{(2)}-4y^{(2)}=16	2x^{(2)}-4y^{(2)}=16
4x^2-25y^2+8x-100y-196=0	4x^{2}-25y^{2}+8x-100y-196=0
solvefor x,x*(x+1)=h(x)^2	solvefor\:x,x\cdot\:(x+1)=h(x)^{2}
-x^2+2y^2-20y-6=0	-x^{2}+2y^{2}-20y-6=0
((x-1)^2)/(64)-((y-2)^2)/(32)=1	\frac{(x-1)^{2}}{64}-\frac{(y-2)^{2}}{32}=1
-x^2+9y^2-36y+27=0	-x^{2}+9y^{2}-36y+27=0
((y-4}{16})^2-(\frac{x-6)/4)^2=1	(\frac{y-4}{16})^{2}-(\frac{x-6}{4})^{2}=1
((x-1)^2}{49}-\frac{(y+3)^2)/9 =1	\frac{(x-1)^{2}}{49}-\frac{(y+3)^{2}}{9}=1
(y-3)(y+1)-(2x+1)(x-3)=0	(y-3)(y+1)-(2x+1)(x-3)=0
x^2-3y^2+6y+6=0	x^{2}-3y^{2}+6y+6=0

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