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expand (4x^2-2x+1)/((x+3)^3(x^2-7)^2)	expand\:\frac{4x^{2}-2x+1}{(x+3)^{3}(x^{2}-7)^{2}}
expand (1+cos(x))^2+sin^2(x)	expand\:(1+\cos(x))^{2}+\sin^{2}(x)
expand ((sin(x)cos(x)+1)^2)/(sin^2(x)cos^2(x))	expand\:\frac{(\sin(x)\cos(x)+1)^{2}}{\sin^{2}(x)\cos^{2}(x)}
expand 6e^x-3(e^xx^2+2xe^x)	expand\:6e^{x}-3(e^{x}x^{2}+2xe^{x})
expand (0.5e^x+0.5)(0.5e^{-x}+0.5)	expand\:(0.5e^{x}+0.5)(0.5e^{-x}+0.5)
expand 3/((1+x)(2x-1))	expand\:\frac{3}{(1+x)(2x-1)}
expand 2(-sin(a)cos(3a)-3cos(a)sin(3a))+sin(2a)	expand\:2(-\sin(a)\cos(3a)-3\cos(a)\sin(3a))+\sin(2a)
expand (x^2)/((x^2+1)(1+y^2))	expand\:\frac{x^{2}}{(x^{2}+1)(1+y^{2})}
expand 1/3 ((3+y/6)^2-3^2)y	expand\:\frac{1}{3}((3+\frac{y}{6})^{2}-3^{2})y
expand (x^{1/3}+y^{1/3})^3	expand\:(x^{\frac{1}{3}}+y^{\frac{1}{3}})^{3}
expand (cos((pix)/2)(1+sqrt(x)))/(1-x)	expand\:\frac{\cos(\frac{πx}{2})(1+\sqrt{x})}{1-x}
expand (n^2(n+1)^2(2n^2+2n-1))/(12)	expand\:\frac{n^{2}(n+1)^{2}(2n^{2}+2n-1)}{12}
expand (x+2)/((x+4)(x+1))	expand\:\frac{x+2}{(x+4)(x+1)}
expand (x-a-bi)(x-c-di)(x-e-fi)(x-g-hi)	expand\:(x-a-bi)(x-c-di)(x-e-fi)(x-g-hi)
expand (3,5)y(1,-1)	expand\:(3,5)y(1,-1)
expand a(tan(2x+2y)+csc(2x-2y)=100)	expand\:a(\tan(2x+2y)+\csc(2x-2y)=100)
expand tan(1/3)(270+x)	expand\:\tan(\frac{1}{3})(270+x)
expand log_{2}(sqrt(8))	expand\:\log_{2}(\sqrt{8})
expand (3x+1)(ln(x))	expand\:(3x+1)(\ln(x))
expand sin(x)(csc(x)+cot(x))-cos(x)	expand\:\sin(x)(\csc(x)+\cot(x))-\cos(x)
expand 12(1-e^{-t/2})	expand\:12(1-e^{-\frac{t}{2}})
(\partial)/(\partial x)((z)(x+y))	\frac{\partial\:}{\partial\:x}((z)(x+y))
expand ((x^2-1)^3)/4	expand\:\frac{(x^{2}-1)^{3}}{4}
expand (sqrt(2z)+1)^{12}	expand\:(\sqrt{2z}+1)^{12}
expand (-15s+4)/((s^2-13s+26)s)	expand\:\frac{-15s+4}{(s^{2}-13s+26)s}
expand (2x+y=9,)(2x-y=11)	expand\:(2x+y=9,)(2x-y=11)
expand (x^4+4x^3+8x^2)*(x-3+sqrt(5))	expand\:(x^{4}+4x^{3}+8x^{2})\cdot\:(x-3+\sqrt{5})
expand log_{2}(sqrt(4ac))	expand\:\log_{2}(\sqrt{4ac})
expand (y+sqrt(x^2+y^2))dx-xdy	expand\:(y+\sqrt{x^{2}+y^{2}})dx-xdy
expand ((x-2)(x^2+2x+4))/(x^3)	expand\:\frac{(x-2)(x^{2}+2x+4)}{x^{3}}
expand ((x^4)/2+4/(3x^2))^{12}	expand\:(\frac{x^{4}}{2}+\frac{4}{3x^{2}})^{12}
expand (2x+3y-7)dx+(-3x-2y-4)dy	expand\:(2x+3y-7)dx+(-3x-2y-4)dy
expand 1/(4st(1+s)(1+t))	expand\:\frac{1}{4st(1+s)(1+t)}
expand 100((0.75129218,71)+(0,2560301,99))	expand\:100((0.75\cdot\:129218,71)+(0,25\cdot\:60301,99))
expand (2x+3+x^2)(2x+3=x^2)	expand\:(2x+3+x^{2})(2x+3=x^{2})
expand 4ydx+(4x+4xycos(y))dy	expand\:4ydx+(4x+4xy\cos(y))dy
expand sqrt(2)(sqrt(3)-sqrt(7))	expand\:\sqrt{2}(\sqrt{3}-\sqrt{7})
simplify (x^2+4)(sqrt(3x-2))	simplify\:(x^{2}+4)(\sqrt{3x-2})
expand-(s^2+1)/(s^2(s^2+1+2s))	expand\:-\frac{s^{2}+1}{s^{2}(s^{2}+1+2s)}
expand 3(3x^2+x+1)^2	expand\:3(3x^{2}+x+1)^{2}
expand (e^{4x}-1)(36-x^2)	expand\:(e^{4x}-1)(36-x^{2})
expand x^4x+3	expand\:x^{4}x+3
expand (4+3i)^4	expand\:(4+3i)^{4}
expand (1+5sin(t))(5cos(t))	expand\:(1+5\sin(t))(5\cos(t))
expand derivative of (x-2(x-7)^3)+8	expand\:\frac{d}{dx}((x-2)(x-7)^{3})+8
expand ((x-3)(x^2+9)^3)/((2x-5)^2)	expand\:\frac{(x-3)(x^{2}+9)^{3}}{(2x-5)^{2}}
simplify ((a-1)/a+1/2)x	simplify\:(\frac{a-1}{a}+\frac{1}{2})x
simplify (sqrt(a)+2)^2	simplify\:(\sqrt{a}+2)^{2}
expand sqrt(5)(sqrt(7)-12)	expand\:\sqrt{5}(\sqrt{7}-12)
expand-(2(-x+3))/(x^4)	expand\:-\frac{2(-x+3)}{x^{4}}
expand ((1-7x))/(((1+x)(1-x)))	expand\:\frac{(1-7x)}{((1+x)(1-x))}
expand (4(x-2))/((x+1)(x+2))	expand\:\frac{4(x-2)}{(x+1)(x+2)}
expand (dx)/((dz)(1+2x))	expand\:\frac{dx}{(dz)(1+2x)}
expand x^{4/3}(x^{5/3}-x^{7/5})	expand\:x^{\frac{4}{3}}(x^{\frac{5}{3}}-x^{\frac{7}{5}})
expand (3sin(x)-4cos(x))^2	expand\:(3\sin(x)-4\cos(x))^{2}
expand log_{10}(b)((x^2y)/(z^9))	expand\:\log_{10}(b)(\frac{x^{2}y}{z^{9}})
simplify (sqrt(2+x)-4)^2	simplify\:(\sqrt{2+x}-4)^{2}
simplify (x+1/4)(x-1/2)	simplify\:(x+\frac{1}{4})(x-\frac{1}{2})
(\partial)/(\partial v)((x)(-v+2u+2))	\frac{\partial\:}{\partial\:v}((x)(-v+2u+2))
simplify-sin^2(x)(y+1/z)^2	simplify\:-\sin^{2}(x)(y+\frac{1}{z})^{2}
expand (7+sqrt(6))(2+sqrt(7))	expand\:(7+\sqrt{6})(2+\sqrt{7})
expand (10^6K)/((is+10^2)^3)	expand\:\frac{10^{6}K}{(is+10^{2})^{3}}
expand (-csc^2(x)(x+1)-cot(x))/((x+1)^2)	expand\:\frac{-\csc^{2}(x)(x+1)-\cot(x)}{(x+1)^{2}}
simplify sin(x)+y(cos(x))-sin(x)(cos(x)+y)	simplify\:\sin(x)+y(\cos(x))-\sin(x)(\cos(x)+y)
expand 4/((2-t)^3)	expand\:\frac{4}{(2-t)^{3}}
simplify (sin^2(t))(5-(t^2))	simplify\:(\sin^{2}(t))(5-(t^{2}))
expand e^{e^x}(e^x+e^{x-1})	expand\:e^{e^{x}}(e^{x}+e^{x-1})
expand ((40-k)(5+k))/(45)	expand\:\frac{(40-k)(5+k)}{45}
expand (10x^4-11x^2+1)^5	expand\:(10x^{4}-11x^{2}+1)^{5}
expand sqrt((x-3)^2+y^2)+sqrt((x+3)^2+y^2)	expand\:\sqrt{(x-3)^{2}+y^{2}}+\sqrt{(x+3)^{2}+y^{2}}
expand (2+x+x^4)(5x-1/(2x^3))^8	expand\:(2+x+x^{4})(5x-\frac{1}{2x^{3}})^{8}
expand A(-4,-5)B(-2,3)C(1,-2)	expand\:A(-4,-5)B(-2,3)C(1,-2)
expand ((3x-1)^2)/9	expand\:\frac{(3x-1)^{2}}{9}
((3x-1))/(x(x-4))	\frac{(3x-1)}{x(x-4)}
simplify 10(log_{10}(2)+7)	simplify\:10(\log_{10}(2)+7)
expand 5/((2n+1)^2)	expand\:\frac{5}{(2n+1)^{2}}
expand y(d^2)/(d^2x)(y^2=x^2+2x)	expand\:y\frac{d^{2}}{d^{2}x}(y^{2}=x^{2}+2x)
expand ((3x)/4-25/4)^2	expand\:(\frac{3x}{4}-\frac{25}{4})^{2}
expand 1/((t^4+1)^3)	expand\:\frac{1}{(t^{4}+1)^{3}}
expand (4y(x+2)-6)/((x+2)^2)	expand\:\frac{4y(x+2)-6}{(x+2)^{2}}
expand (x^2+1)y'(x)	expand\:(x^{2}+1)y\prime\:(x)
expand (2(715-p)^2)/5	expand\:\frac{2(715-p)^{2}}{5}
expand (a^2+b^2+c^2+3abc)/((a+b)(b+c)(c+a))	expand\:\frac{a^{2}+b^{2}+c^{2}+3abc}{(a+b)(b+c)(c+a)}
expand (18)/(s(s^2+36))	expand\:\frac{18}{s(s^{2}+36)}
expand (10)/((s+10)(s^2+2s+1))	expand\:\frac{10}{(s+10)(s^{2}+2s+1)}
expand ((x+1))/((x-1))-x/((x+2))	expand\:\frac{(x+1)}{(x-1)}-\frac{x}{(x+2)}
expand (2-2x)e^{2x-x^2-4y-y^2=0}	expand\:(2-2x)e^{2x-x^{2}-4y-y^{2}=0}
expand (sqrt(x)+3y)^5	expand\:(\sqrt{x}+3y)^{5}
expand ,(1/(44+210j)+1/(50+80j))	expand\:,(\frac{1}{44+210j}+\frac{1}{50+80j})
simplify (2tcos(5t)+3tsinh(t))(s)	simplify\:(2t\cos(5t)+3t\sinh(t))(s)
expand (x^2-x)e^{2x}	expand\:(x^{2}-x)e^{2x}
simplify 4(2w-(315)/(w^2))	simplify\:4(2w-\frac{315}{w^{2}})
expand-cb^{5/2}(-(e^{-r/a}r^2)/a+2e^{-r/a}r)	expand\:-cb^{\frac{5}{2}}(-\frac{e^{-\frac{r}{a}}r^{2}}{a}+2e^{-\frac{r}{a}}r)
expand (4x(x+5))/((2x-1)(3x+2))	expand\:\frac{4x(x+5)}{(2x-1)(3x+2)}
expand 2t[\H(t)-\H(t-1)]+2\H(t-1)	expand\:2t[\H(t)-\H(t-1)]+2\H(t-1)
expand x/((x+6)(x+9))	expand\:\frac{x}{(x+6)(x+9)}
expand 3+2sin(3)(x+1)	expand\:3+2\sin(3)(x+1)
((50x^{(2)}-4))/(((x+5)(x-8)))	\frac{(50x^{(2)}-4)}{((x+5)(x-8))}
expand sqrt(u)(1-u)	expand\:\sqrt{u}(1-u)
expand (9x^3)/((1+3x)^2)	expand\:\frac{9x^{3}}{(1+3x)^{2}}

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