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factor 10p^2+3p-18	factor\:10p^{2}+3p-18
simplify x(x^{3/2})	simplify\:x(x^{\frac{3}{2}})
x^2-15x-16=0	x^{2}-15x-16=0
x^2-3x=2x+6	x^{2}-3x=2x+6
1-1/(x^{2/3)}>0	1-\frac{1}{x^{\frac{2}{3}}}>0
9x^2=64	9x^{2}=64
\|x-1\|=0.03	\left\|x-1\right\|=0.03
simplify (15!)/((15-5)!5!)	simplify\:\frac{15!}{(15-5)!5!}
2(-4x+5)-4x+1=-49	2(-4x+5)-4x+1=-49
\|(3x-1)/2 \|=\|(2x+3)/3 \|	\left\|\frac{3x-1}{2}\right\|=\left\|\frac{2x+3}{3}\right\|
factor 54x^3y-18x^2y^2+27xy^2	factor\:54x^{3}y-18x^{2}y^{2}+27xy^{2}
1/3	\frac{1}{3}
\|x^2+x-5\|<= x-1	\left\|x^{2}+x-5\right\|\le\:x-1
simplify (15^2)/5	simplify\:\frac{15^{2}}{5}
(-1)/2 x<= 17	\frac{-1}{2}x\le\:17
simplify sqrt(3)sqrt(6)	simplify\:\sqrt{3}\sqrt{6}
x+1/5 x=36	x+\frac{1}{5}x=36
factor 3n^2-n-10	factor\:3n^{2}-n-10
2x^2-2x-24=0	2x^{2}-2x-24=0
(1+2t)^2=1+6t	(1+2t)^{2}=1+6t
10b-45=3(b-15)	10b-45=3(b-15)
x/(x+3)+1<0	\frac{x}{x+3}+1<0
8x^2=2x+3	8x^{2}=2x+3
simplify 4/(2sqrt(3))	simplify\:\frac{4}{2\sqrt{3}}
1/(x+2)+1/(x+3)<= 0	\frac{1}{x+2}+\frac{1}{x+3}\le\:0
3x^2+36=0	3x^{2}+36=0
7^2+x^2=10^2	7^{2}+x^{2}=10^{2}
x^2-x<20	x^{2}-x<20
2<= x<3	2\le\:x<3
factor 4x^2y+16x^2-16x^4y	factor\:4x^{2}y+16x^{2}-16x^{4}y
simplify (12!)/(11!)	simplify\:\frac{12!}{11!}
5+7/4 a=4-5/8 a	5+\frac{7}{4}a=4-\frac{5}{8}a
simplify 20*6	simplify\:20\cdot\:6
simplify (7x-(2x)/3)/(15y-y/3)	simplify\:\frac{7x-\frac{2x}{3}}{15y-\frac{y}{3}}
20x=340	20x=340
4x+3=-3	4x+3=-3
2+1.25p=3.75p+10	2+1.25p=3.75p+10
factor-4x^3-52x^2-48x	factor\:-4x^{3}-52x^{2}-48x
factor 4x^2+8x-96	factor\:4x^{2}+8x-96
e^{2x}<4	e^{2x}<4
x^2+10x+8=0	x^{2}+10x+8=0
(x-2)(x+3)2<= 0	(x-2)(x+3)2\le\:0
4+3x=-12x+4	4+3x=-12x+4
simplify (-4x)^{-2}	simplify\:(-4x)^{-2}
10<= 2x-1<= x+5	10\le\:2x-1\le\:x+5
x^2-1.6x+0.6=0	x^{2}-1.6x+0.6=0
factor y^2+8y+15	factor\:y^{2}+8y+15
simplify 4/6-(-1/6)	simplify\:\frac{4}{6}-(-\frac{1}{6})
factor y^2+2y+1	factor\:y^{2}+2y+1
x-1<8	x-1<8
t=2pisqrt((3.2)/(980))	t=2π\sqrt{\frac{3.2}{980}}
simplify (1/2}{\frac{-sqrt(3))/2}	simplify\:\frac{\frac{1}{2}}{\frac{-\sqrt{3}}{2}}
simplify (2^{19}2^5)/(2^{12)2^3}	simplify\:\frac{2^{19}\cdot\:2^{5}}{2^{12}\cdot\:2^{3}}
simplify (sqrt(252))/3	simplify\:\frac{\sqrt{252}}{3}
simplify 1/4+3	simplify\:\frac{1}{4}+3
\|15x-10\|=25	\left\|15x-10\right\|=25
simplify (sqrt(7)-sqrt(2))^2	simplify\:(\sqrt{7}-\sqrt{2})^{2}
x/2+x/3 =7	\frac{x}{2}+\frac{x}{3}=7
c^2-1=0	c^{2}-1=0
simplify sqrt(10)*sqrt(5)	simplify\:\sqrt{10}\cdot\:\sqrt{5}
(\|2-3x\|)/(\|1+2x\|)<= 4	\frac{\left\|2-3x\right\|}{\left\|1+2x\right\|}\le\:4
sqrt(c+5)+sqrt(c+10)>2	\sqrt{c+5}+\sqrt{c+10}>2
9w-63=198	9w-63=198
3(x-2)^2+4=52	3(x-2)^{2}+4=52
factor ((1-x^2))/(x^3-1)	factor\:\frac{(1-x^{2})}{x^{3}-1}
-14-8x=-2((-3x+7))	-14-8x=-2((-3x+7))
10x^2+19x-15=0	10x^{2}+19x-15=0
simplify (x/y+y/x)/(x/y-y/x)	simplify\:\frac{\frac{x}{y}+\frac{y}{x}}{\frac{x}{y}-\frac{y}{x}}
simplify ((8m^6n^4)^3)/(4m^3n^2)	simplify\:\frac{(8m^{6}n^{4})^{3}}{4m^{3}n^{2}}
-4u+7=-10u+37	-4u+7=-10u+37
2x^2+8x=0	2x^{2}+8x=0
simplify-1/2-2	simplify\:-\frac{1}{2}-2
factor x^2-5x+x-5	factor\:x^{2}-5x+x-5
x^2+11x+24=0	x^{2}+11x+24=0
simplify (-48c^2d^4)/(-8cd)	simplify\:\frac{-48c^{2}d^{4}}{-8cd}
(2x)/9+1/3 = 4/15	\frac{2x}{9}+\frac{1}{3}=\frac{4}{15}
56>=-4b	56\ge\:-4b
simplify (-92+sqrt(92^2-4(14*14)))/(2(14))	simplify\:\frac{-92+\sqrt{92^{2}-4(14\cdot\:14)}}{2(14)}
factor x^4-v^4	factor\:x^{4}-v^{4}
simplify (d^2)/(d-c)-(c^2)/(d-c)	simplify\:\frac{d^{2}}{d-c}-\frac{c^{2}}{d-c}
2w+2(2w+5)=250	2w+2(2w+5)=250
x^2-24x-12=0	x^{2}-24x-12=0
factor m^2n^2+ab+an^2+bm^2	factor\:m^{2}n^{2}+ab+an^{2}+bm^{2}
factor y^2+2xy-63x^2	factor\:y^{2}+2xy-63x^{2}
factor 36a^7b^5+9ab^2-72ab^6	factor\:36a^{7}b^{5}+9ab^{2}-72ab^{6}
0.25(2x+4)=5	0.25(2x+4)=5
simplify 13384.63((0.075)/(12))	simplify\:13384.63(\frac{0.075}{12})
4y=38-1/2 (4y+16)	4y=38-\frac{1}{2}(4y+16)
-1/2 u-2/7 = 1/5	-\frac{1}{2}u-\frac{2}{7}=\frac{1}{5}
5-3(6v+5)>-9v+10-8v	5-3(6v+5)>-9v+10-8v
8x-(4x-1)=2	8x-(4x-1)=2
x^2(x-1)>= 3(1-x)	x^{2}(x-1)\ge\:3(1-x)
2x^2+9x+4=0	2x^{2}+9x+4=0
simplify log_{2}(1/3)	simplify\:\log_{2}(\frac{1}{3})
simplify ((-2)^2)^{1/2}	simplify\:((-2)^{2})^{\frac{1}{2}}
factor 50x^5-18x	factor\:50x^{5}-18x
-5x^2+x+2=0	-5x^{2}+x+2=0
(3^2-16)/(3-4)	\frac{3^{2}-16}{3-4}
simplify 16-3/2	simplify\:16-\frac{3}{2}
6(w+1)-10=4(w-1)+2w	6(w+1)-10=4(w-1)+2w

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