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[((x-5))/((x-7))]^{1/2}	[\frac{(x-5)}{(x-7)}]^{\frac{1}{2}}
factor x^4+3x^2*y^2+4y^4	factor\:x^{4}+3x^{2}\cdot\:y^{2}+4y^{4}
simplify (x-y+z)^2+(z-y)^2+2(x-y+z)(y-z)	simplify\:(x-y+z)^{2}+(z-y)^{2}+2(x-y+z)(y-z)
simplify (x/2-y/5)^2	simplify\:(\frac{x}{2}-\frac{y}{5})^{2}
factor x^2-y^2+2y-1	factor\:x^{2}-y^{2}+2y-1
simplify 10^{1/2}*10^{1/4}	simplify\:10^{\frac{1}{2}}\cdot\:10^{\frac{1}{4}}
factor x*y^4-x^3	factor\:x\cdot\:y^{4}-x^{3}
expand (0.2+0.4y)(0.2x-0.4y)	expand\:(0.2+0.4y)(0.2x-0.4y)
simplify 4^{k-3}*4^{4-k}	simplify\:4^{k-3}\cdot\:4^{4-k}
factor 4u^2+8u	factor\:4u^{2}+8u
simplify (2x+3y)^3+(2x-3y)^3	simplify\:(2x+3y)^{3}+(2x-3y)^{3}
factor 81x^2-144y^2	factor\:81x^{2}-144y^{2}
simplify 8^3+8(x-y)^3	simplify\:8^{3}+8(x-y)^{3}
factor x^{15}+15xy	factor\:x^{15}+15xy
simplify ((7x^6-8x^5y+x^4y^3))/((1/2*x^3))	simplify\:\frac{(7x^{6}-8x^{5}\cdot\:y+x^{4}\cdot\:y^{3})}{(\frac{1}{2}\cdot\:x^{3})}
simplify (3x-5y)^3+(3x-5y)^3	simplify\:(3x-5y)^{3}+(3x-5y)^{3}
factor-8y^2-36y-35	factor\:-8y^{2}-36y-35
simplify (n-(n-2))!	simplify\:(n-(n-2))!
simplify (sqrt(\sqrt{64m^2*n)})^{10}	simplify\:(\sqrt{\sqrt{64m^{2}\cdot\:n}})^{10}
factor 610xy+63xy^2+135y	factor\:610xy+63xy^{2}+135y
factor 2a^4+6b^3	factor\:2a^{4}+6b^{3}
factor m^4+m^2+1	factor\:m^{4}+m^{2}+1
expand (3x-6y)^3	expand\:(3x-6y)^{3}
factor 6v^3+2w^3	factor\:6v^{3}+2w^{3}
simplify ((x^2+4x+3))/((x^2+3x+2))	simplify\:\frac{(x^{2}+4x+3)}{(x^{2}+3x+2)}
simplify f^0(x)	simplify\:f^{0}(x)
simplify 1/(x+x)	simplify\:\frac{1}{x+x}
expand (x+4n)^4	expand\:(x+4n)^{4}
simplify 1(3/2+23/233/2)+(3/2+23/2a1*3/2)	simplify\:1(\frac{3}{2}+\frac{23}{2}\cdot\:3\cdot\:\frac{3}{2})+(\frac{3}{2}+\frac{23}{2}\cdot\:a\cdot\:1\cdot\:\frac{3}{2})
factor 64+a^{12}	factor\:64+a^{12}
factor k^5-7k^3-5k^2+35	factor\:k^{5}-7k^{3}-5k^{2}+35
simplify (3x+1)^3+(2x-1)^3+(2x+3)^2+8x	simplify\:(3x+1)^{3}+(2x-1)^{3}+(2x+3)^{2}+8x
factor 7a^3+56b^3	factor\:7a^{3}+56b^{3}
simplify x^2+3sqrt(3x)+6	simplify\:x^{2}+3\sqrt{3x}+6
simplify 2167924-910b-4c^2-a^{46}-93979e^{31081}e	simplify\:2167924-910b-4c^{2}-a^{46}-93979e^{31081}e
simplify 1/x+1/z	simplify\:\frac{1}{x}+\frac{1}{z}
simplify ((1-x)/2)^{-1}	simplify\:(\frac{1-x}{2})^{-1}
simplify (a+b+c)^3-a^3-b^3-c^3	simplify\:(a+b+c)^{3}-a^{3}-b^{3}-c^{3}
factor 9x^3y+41x^2y+20xy^3	factor\:9x^{3}y+41x^{2}y+20xy^{3}
factor-a^4+4b^2	factor\:-a^{4}+4b^{2}
simplify-2x(x+3)-(x+1)(x-2)	simplify\:-2x(x+3)-(x+1)(x-2)
simplify (x^{-1}*y^3)^{1/2}	simplify\:(x^{-1}\cdot\:y^{3})^{\frac{1}{2}}
simplify (2^3(x^2)^3)/(2^2)	simplify\:\frac{2^{3}(x^{2})^{3}}{2^{2}}
expand (x-y+2z)^3	expand\:(x-y+2z)^{3}
expand (3x^2+4xy+5y^2)(7x^2+9y^2)	expand\:(3x^{2}+4xy+5y^{2})(7x^{2}+9y^{2})
factor a^4-2a^3b+a^2b^2-b^4	factor\:a^{4}-2a^{3}\cdot\:b+a^{2}\cdot\:b^{2}-b^{4}
simplify 5^2n-3-5^2n-1+25^n-1	simplify\:5^{2}n-3-5^{2}n-1+25^{n}-1
simplify f^{-4}	simplify\:f^{-4}
factor 36a^2-12a+1-25b^2	factor\:36a^{2}-12a+1-25b^{2}
simplify (((6y^3)^4))/((2y^5))	simplify\:\frac{((6y^{3})^{4})}{(2y^{5})}
((1+sin(x)))/n	\frac{(1+\sin(x))}{n}
factor 4x^2-9y^2-2x-3y	factor\:4x^{2}-9y^{2}-2x-3y
simplify ((4x^5*3x))/((6x^2))	simplify\:\frac{(4x^{5}\cdot\:3x)}{(6x^{2})}
simplify (-7/3 x+8/5 y)^3	simplify\:(-\frac{7}{3}x+\frac{8}{5}y)^{3}
simplify 16370b+m-x^{100000000}+s-0f^{27}b	simplify\:16370b+m-x^{100000000}+s-0f^{27}b
simplify-7/8 x-5/7-(1/14)/5	simplify\:-\frac{7}{8}x-\frac{5}{7}-\frac{\frac{1}{14}}{5}
factor 16x^4+7x^2+1	factor\:16x^{4}+7x^{2}+1
factor 9a^4-a^2-12a-36	factor\:9a^{4}-a^{2}-12a-36
simplify (2x+5)^3-(2x-5)^3	simplify\:(2x+5)^{3}-(2x-5)^{3}
simplify (f/g)(1)	simplify\:(\frac{f}{g})(1)
factor 25x^{12}+25x^6*y+25y^2	factor\:25x^{12}+25x^{6}\cdot\:y+25y^{2}
simplify ((3y^2+8y+4))/((y^2-4))	simplify\:\frac{(3y^{2}+8y+4)}{(y^{2}-4)}
simplify (-2^{-1}x^{-n})^{-3}	simplify\:(-2^{-1}x^{-n})^{-3}
simplify (54}{24-3x[\frac{(45-25))/2+1]}	simplify\:\frac{54}{24-3x[\frac{(4\cdot\:5-2\cdot\:5)}{2}+1]}
factor 64x^3-729y^3	factor\:64x^{3}-729y^{3}
expand a(a-1)y^2-y-a(a+1)	expand\:a(a-1)y^{2}-y-a(a+1)
simplify (d^{923109}i416934622)/(-4+1158125)	simplify\:\frac{d^{923109}i416934622}{-4+1158125}
simplify 1+1/(sqrt(n))	simplify\:1+\frac{1}{\sqrt{n}}
simplify aa^{3/4}b^{-3}	simplify\:a\cdot\:a^{\frac{3}{4}}\cdot\:b^{-3}
expand (a-1)x^2+(2-3a)x+20	expand\:(a-1)x^{2}+(2-3a)x+20
simplify (2a*sqrt(3))^2	simplify\:(2a\cdot\:\sqrt{3})^{2}
simplify [(x^4)/4-x^3-(x^2)/2+3x]_{0}^1	simplify\:[\frac{x^{4}}{4}-x^{3}-\frac{x^{2}}{2}+3x]_{0}^{1}
simplify (d^{-5})^{-2}	simplify\:(d^{-5})^{-2}
expand log_{10}(x)(x-2)	expand\:\log_{10}(x)(x-2)
factor x^2y+xy^2-x-y	factor\:x^{2}y+xy^{2}-x-y
simplify x^3+x^2-2x+3+3x-2	simplify\:x^{3}+x^{2}-2x+3+3x-2
factor 4a^8b^c-6a^5b^3	factor\:4a^{8}\cdot\:b^{c}-6a^{5}\cdot\:b^{3}
simplify (4a+3b)^3-(4a-3b)^3	simplify\:(4a+3b)^{3}-(4a-3b)^{3}
simplify 3^2y^4sqrt(z)x^3y^{-3}z^2	simplify\:3^{2}y^{4}\sqrt{z}x^{3}y^{-3}z^{2}
expand 4(1-x^3)^3	expand\:4(1-x^{3})^{3}
simplify (a-b+c)^2+2(a-b+c)(b-c)+(b-c)^2	simplify\:(a-b+c)^{2}+2(a-b+c)(b-c)+(b-c)^{2}
expand x(x^2-1)(x+2)-8	expand\:x(x^{2}-1)(x+2)-8
simplify k((-3)/k)^2+6((-3)/k)-3	simplify\:k\cdot\:(\frac{-3}{k})^{2}+6\cdot\:(\frac{-3}{k})-3
simplify 3x^{(-1)/3}-4x^{2/3}+x^{5/3}	simplify\:3x^{\frac{-1}{3}}-4x^{\frac{2}{3}}+x^{\frac{5}{3}}
simplify ((2x^{2/3}))/((x^{8/3))}	simplify\:\frac{(2x^{\frac{2}{3}})}{(x^{\frac{8}{3}})}
simplify 1/25+25(x^4}{36}-\frac{x^2)/3	simplify\:\frac{1}{25}+25\frac{x^{4}}{36}-\frac{x^{2}}{3}
factor n^4+2n^3+2n^2+2n+1	factor\:n^{4}+2n^{3}+2n^{2}+2n+1
simplify-(2x^{-2}*y^3)^3	simplify\:-(2x^{-2}\cdot\:y^{3})^{3}
simplify 5-3x^0	simplify\:5-3x^{0}
factor 121x^2y^2+44xy+4	factor\:121x^{2}y^{2}+44xy+4
simplify ((3x-5))/4-((x+7))/8	simplify\:\frac{(3x-5)}{4}-\frac{(x+7)}{8}
simplify (8l'1)/(4l)	simplify\:\frac{8l\prime\:1}{4l}
simplify 13a^2b^2-9a^2b^2+4a^2b^2	simplify\:13a^{2}b^{2}-9a^{2}b^{2}+4a^{2}b^{2}
factor-14x^3y^2-7x^2y^3+21	factor\:-14x^{3}y^{2}-7x^{2}y^{3}+21
simplify ((5a^2)^3*(6b)^2)/((30a^3b)^2)	simplify\:\frac{(5a^{2})^{3}\cdot\:(6b)^{2}}{(30a^{3}b)^{2}}
simplify 5i+j-2k	simplify\:5i+j-2k
expand (2a+2)^3	expand\:(2a+2)^{3}
simplify (2/(3x-2y))^3	simplify\:(\frac{2}{3x-2y})^{3}
expand 9y^2(10y+2y^3)	expand\:9y^{2}(10y+2y^{3})
simplify log_{10}(x-1)-log_{10}(x+2)	simplify\:\log_{10}(x-1)-\log_{10}(x+2)

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