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simplify x-7.5x	simplify\:x-7.5x
simplify (5a^4)^2	simplify\:(5a^{4})^{2}
simplify (3/(2y-5z))^3	simplify\:(\frac{3}{2y-5z})^{3}
simplify 2(x^5)^2(4x^5+3)	simplify\:2(x^{5})^{2}(4x^{5}+3)
simplify (w^2)^{-6}	simplify\:(w^{2})^{-6}
simplify-4x^5+(-2)x^5	simplify\:-4x^{5}+(-2)x^{5}
factor 200x^4-675xy^3	factor\:200x^{4}-675xy^{3}
simplify (5x^{-2}*y^3)^2	simplify\:(5x^{-2}\cdot\:y^{3})^{2}
simplify (x-3)+2	simplify\:(x-3)+2
simplify ((x+sqrt(x)-6))/((sqrt(x)+3))	simplify\:\frac{(x+\sqrt{x}-6)}{(\sqrt{x}+3)}
simplify ((1+1)/x)^x	simplify\:(\frac{1+1}{x})^{x}
simplify 3x^2-2sqrt(6x)+2	simplify\:3x^{2}-2\sqrt{6x}+2
factor 16w^6x^2y^4-12w^9x^9	factor\:16w^{6}x^{2}y^{4}-12w^{9}x^{9}
simplify ((x^2-y^2))/((2x^6+y^2))	simplify\:\frac{(x^{2}-y^{2})}{(2x^{6}+y^{2})}
simplify ((b)-1)/((sqrt(3)))	simplify\:\frac{(b)-1}{(\sqrt{3})}
simplify ((a+b)/3)^3	simplify\:(\frac{a+b}{3})^{3}
expand-3y(4y+3x)+2x(x^2-y^2)	expand\:-3y(4y+3x)+2x(x^{2}-y^{2})
simplify 3b^3+6b+5b^2-3b+b^2+9	simplify\:3b^{3}+6b+5b^{2}-3b+b^{2}+9
simplify (3^n+2+3^n+1-3^n+2)/5	simplify\:\frac{3^{n}+2+3^{n}+1-3^{n}+2}{5}
simplify (2m^3n^4p^2)^3	simplify\:(2m^{3}n^{4}p^{2})^{3}
factor 9x^2+12xy	factor\:9x^{2}+12xy
simplify sin^2(a)(sin^2(b))	simplify\:\sin^{2}(a)(\sin^{2}(b))
factor 75p^2-3q^2	factor\:75p^{2}-3q^{2}
simplify (2x+x)^2	simplify\:(2x+x)^{2}
simplify (3x^6)-7+(2x^7)+6-(9x^6)	simplify\:(3x^{6})-7+(2x^{7})+6-(9x^{6})
simplify ((1-cos^4(x)))/((tan(x)-cot(x)))	simplify\:\frac{(1-\cos^{4}(x))}{(\tan(x)-\cot(x))}
simplify 2a-b-a(a+b)^{-1}a+b(a+b)^{-1}	simplify\:2a-b-a(a+b)^{-1}a+b(a+b)^{-1}
expand x^2+(x+1)2	expand\:x^{2}+(x+1)2
factor 4a^2-16b^2	factor\:4a^{2}-16b^{2}
factor n+2m^2+1+2m^2n	factor\:n+2m^{2}+1+2m^{2}n
simplify ((x^{n+1}+x^{n-1}))/((x^2+1))	simplify\:\frac{(x^{n+1}+x^{n-1})}{(x^{2}+1)}
expand-(a+b)3-8(a-b)^3	expand\:-(a+b)3-8(a-b)^{3}
simplify 7a-8b-9a+2b	simplify\:7a-8b-9a+2b
simplify (n!)/((2n!))	simplify\:\frac{n!}{(2n!)}
simplify ((x-y)^3)/((y-x)^5)	simplify\:\frac{(x-y)^{3}}{(y-x)^{5}}
expand (3x+3y)^3	expand\:(3x+3y)^{3}
factor xy^5-x^5y	factor\:x\cdot\:y^{5}-x^{5}\cdot\:y
factor 3xy^2-9x^2y	factor\:3x\cdot\:y^{2}-9x^{2}\cdot\:y
factor 39xyz^2-13x^2y^2z^2+65x^3y^3*z	factor\:39xy\cdot\:z^{2}-13x^{2}\cdot\:y^{2}\cdot\:z^{2}+65x^{3}\cdot\:y^{3}\cdot\:z
simplify (((a-b)^2+(b-c)^2+(a-c)^2))/(12)	simplify\:\frac{((a-b)^{2}+(b-c)^{2}+(a-c)^{2})}{12}
simplify-3(20+(-29)d)	simplify\:-3(20+(-29)d)
expand (x^2-6x+8)(x-2)	expand\:(x^{2}-6x+8)(x-2)
simplify 18/2 m+5/6 m+6/m	simplify\:\frac{18}{2}m+\frac{5}{6}m+\frac{6}{m}
simplify log_{10}(10)(x)-2x^2+8	simplify\:\log_{10}(10)(x)-2x^{2}+8
simplify (3a^2-2a)*a^{-1}	simplify\:(3a^{2}-2a)\cdot\:a^{-1}
simplify 5x^y(2x^4y^{-3})	simplify\:5x^{y}(2x^{4}y^{-3})
simplify 5 x/y	simplify\:5\frac{x}{y}
simplify ((x-2))/((x^2-1))-((x+1))/((x^2-2x+1))	simplify\:\frac{(x-2)}{(x^{2}-1)}-\frac{(x+1)}{(x^{2}-2x+1)}
simplify 1sqrt((5-5x)^2)	simplify\:1\sqrt{(5-5x)^{2}}
simplify (c)-3/5+4/9-3/15-7/12	simplify\:(c)-\frac{3}{5}+\frac{4}{9}-\frac{3}{15}-\frac{7}{12}
factor 5a^2b-10ab^3	factor\:5a^{2}\cdot\:b-10a\cdot\:b^{3}
simplify 1+1+1+1+1x^0	simplify\:1+1+1+1+1x^{0}
simplify (444.6)/(200*1)	simplify\:\frac{444.6}{200\cdot\:1}
simplify l^{-1}{1/s(sin(1))/s }	simplify\:l^{-1}\cdot\:\left\{\frac{1}{s}\cdot\:\frac{\sin(1)}{s}\right\}
simplify ((9x^4-6x^3+11))/((-9x^4))	simplify\:\frac{(9x^{4}-6x^{3}+11)}{(-9x^{4})}
factor t^4-t	factor\:t^{4}-t
simplify ((y^2-25))/((y^2-10y+25))	simplify\:\frac{(y^{2}-25)}{(y^{2}-10y+25)}
simplify ((x-2))/y+((3y))/x	simplify\:\frac{(x-2)}{y}+\frac{(3y)}{x}
simplify 3x^{1/6}*4x^{(-7)/6}	simplify\:3x^{\frac{1}{6}}\cdot\:4x^{\frac{-7}{6}}
simplify ((-x^7y^5)^2)/((3x^3y^2)^4)	simplify\:\frac{(-x^{7}y^{5})^{2}}{(3x^{3}y^{2})^{4}}
simplify ((b)2^5)/((2^{-6))}	simplify\:\frac{(b)2^{5}}{(2^{-6})}
simplify (2x-y)^2-(y+1)^2	simplify\:(2x-y)^{2}-(y+1)^{2}
expand x(y^2-z^2)+y(z^2-x^2)+z(x^2-y^2)	expand\:x(y^{2}-z^{2})+y(z^{2}-x^{2})+z(x^{2}-y^{2})
expand (k+4)^3	expand\:(k+4)^{3}
simplify-2+7x-5+2+(-15)-9	simplify\:-2+7x-5+2+(-15)-9
simplify x^2+((2n-1))/((x^2-2n+1))	simplify\:x^{2}+\frac{(2n-1)}{(x^{2}-2n+1)}
simplify (w^3)^{-4}	simplify\:(w^{3})^{-4}
simplify (x-a)^{-1}	simplify\:(x-a)^{-1}
simplify l^{-1}\| 1/(s(s-3))\|	simplify\:l^{-1}\left\|\frac{1}{s(s-3)}\right\|
simplify e^{(-1)/(z^4)}	simplify\:e^{\frac{-1}{z^{4}}}
factor 121x^4-81y^6z^4	factor\:121x^{4}-81y^{6}z^{4}
factor x^3-2x^2+2x-4	factor\:x^{3}-2x^{2}+2x-4
simplify 1/((1+a^{n-1))}+1/((1+a^{m-1))}	simplify\:\frac{1}{(1+a^{n-1})}+\frac{1}{(1+a^{m-1})}
simplify-(x-9)	simplify\:-(x-9)
simplify (-4x)/(2x)	simplify\:\frac{-4x}{2x}
expand (2y-5)*(3y^{3.4})	expand\:(2y-5)\cdot\:(3y^{3.4})
simplify cos(x)*(1+tan^2(x))	simplify\:\cos(x)\cdot\:(1+\tan^{2}(x))
simplify 2x^2+2sqrt(6x)-27	simplify\:2x^{2}+2\sqrt{6x}-27
factor 20m+5s	factor\:20m+5s
simplify (-a^3*b^3)^{(-2)/3}	simplify\:(-a^{3}\cdot\:b^{3})^{\frac{-2}{3}}
simplify ((-3x^2+x+3x_{0}-x_{0}))/((x-x_{0))}	simplify\:\frac{(-3x^{2}+x+3x_{0}-x_{0})}{(x-x_{0})}
simplify f(x)*x^2+3x-5f(1/2)	simplify\:f(x)\cdot\:x^{2}+3x-5f(\frac{1}{2})
simplify (g^1g^2)^{-1}	simplify\:(g^{1}g^{2})^{-1}
simplify (v^4w^2)^5	simplify\:(v^{4}w^{2})^{5}
factor a^4-7a^2b^2+b^4	factor\:a^{4}-7a^{2}b^{2}+b^{4}
simplify ((x^2)/(y^2))^2-1-((y^2)/(x^2))^2	simplify\:(\frac{x^{2}}{y^{2}})^{2}-1-(\frac{y^{2}}{x^{2}})^{2}
simplify x^6+2x^2+x^2	simplify\:x^{6}+2x^{2}+x^{2}
simplify 4(6f-5)+8f	simplify\:4(6f-5)+8f
simplify ((16*(x+1)^4-x-1))/((x+2))	simplify\:\frac{(16\cdot\:(x+1)^{4}-x-1)}{(x+2)}
factor 24a^3+37a^2-5a	factor\:24a^{3}+37a^{2}-5a
simplify (2cos^2(x))^2	simplify\:(2\cos^{2}(x))^{2}
simplify (m+n)^2*[(m+n)^2-2(m^2+n^2)]	simplify\:(m+n)^{2}\cdot\:[(m+n)^{2}-2(m^{2}+n^{2})]
factor-x^2-29x-156	factor\:-x^{2}-29x-156
simplify o((n^2)/(log_{10)(n)})	simplify\:o(\frac{n^{2}}{\log_{10}(n)})
factor 36x^3y^2-18x^2y	factor\:36x^{3}y^{2}-18x^{2}y
simplify 8(((6-4x))/3)+3x+7	simplify\:8(\frac{(6-4x)}{3})+3x+7
simplify (x^2-9x+20)/(x-5)	simplify\:\frac{x^{2}-9x+20}{x-5}
simplify a^{0.3}-2(10-8)^2+5(6-1)^2	simplify\:a^{0.3}-2\cdot\:(10-8)^{2}+5\cdot\:(6-1)^{2}
simplify ((-24a))/((6a))	simplify\:\frac{(-24a)}{(6a)}
simplify x^{n-1}*(x+y)-y(x^{n-1}+y^{n-1})	simplify\:x^{n-1}\cdot\:(x+y)-y(x^{n-1}+y^{n-1})

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