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expand-(x^3)/((1-x)^2)	expand\:-\frac{x^{3}}{(1-x)^{2}}
expand-(x+2)/(5x(x-2))	expand\:-\frac{x+2}{5x(x-2)}
expand 1/((s-1)^2(s-2))	expand\:\frac{1}{(s-1)^{2}(s-2)}
expand (sqrt(6)-sqrt(2))/4	expand\:\frac{\sqrt{6}-\sqrt{2}}{4}
((x^2*(e^x-1)))/(sin(x)-x)	\frac{(x^{2}\cdot\:(e^{x}-1))}{\sin(x)-x}
simplify (3+mi)^2	simplify\:(3+mi)^{2}
expand (7(2sqrt(3)+sqrt(2)))/(10)	expand\:\frac{7(2\sqrt{3}+\sqrt{2})}{10}
expand (2(x+4))/3	expand\:\frac{2(x+4)}{3}
expand (2x+1)/(2(x+1))	expand\:\frac{2x+1}{2(x+1)}
expand 15(1-e^{-t/(0.15)})	expand\:15(1-e^{-\frac{t}{0.15}})
expand (-6x+10)ln(x^6+4x-5)	expand\:(-6x+10)\ln(x^{6}+4x-5)
simplify (5+sqrt(x))(5-sqrt(x))	simplify\:(5+\sqrt{x})(5-\sqrt{x})
expand ((x-3)^3)/3	expand\:\frac{(x-3)^{3}}{3}
expand (tan^2(x))/((sec(x)+1)^2)	expand\:\frac{\tan^{2}(x)}{(\sec(x)+1)^{2}}
expand pi(20x+4)^2	expand\:π(20x+4)^{2}
expand (x^4-1)/(x-1)	expand\:\frac{x^{4}-1}{x-1}
expand (v-1)/((3v-5)(5v^2+4v))	expand\:\frac{v-1}{(3v-5)(5v^{2}+4v)}
expand (ft)/(x(4x+1)(sqrt(ax+b)+(4x+3)))	expand\:\frac{ft}{x(4x+1)(\sqrt{ax+b}+(4x+3))}
expand (1+sin(x))^3	expand\:(1+\sin(x))^{3}
expand sqrt(2)(5+sqrt(7))	expand\:\sqrt{2}(5+\sqrt{7})
expand-(6x+6)sin(3x^2+3x)	expand\:-(6x+6)\sin(3x^{2}+3x)
expand ((x^2+x^2))/((2-x^2))	expand\:\frac{(x^{2}+x^{2})}{(2-x^{2})}
expand limx\Rightarrow 0(1+x)-2-1x	expand\:limx\Rightarrow\:0(1+x)-2-1x
expand (x^2y''(x)+xy'(x)-y(x+1)+1)/((x+1)x^2)	expand\:\frac{x^{2}y\prime\:\prime\:(x)+xy\prime\:(x)-y(x+1)+1}{(x+1)x^{2}}
expand x^3-6x^3+8x	expand\:x^{3}-6x^{3}+8x
expand 2x-ln\|2(x-y)+1\|+2y	expand\:2x-\ln\left\|2(x-y)+1\right\|+2y
expand sqrt(1+((2sin(2t))+(4cos(2t)))^2)	expand\:\sqrt{1+((2\sin(2t))+(4\cos(2t)))^{2}}
expand (6x)/(x^2)	expand\:\frac{6x}{x^{2}}
expand (a-b)/((x-a)(x-b))	expand\:\frac{a-b}{(x-a)(x-b)}
expand (e^{-2s})/(s(s^2+3s+2))+1/(s^2+3s+2)	expand\:\frac{e^{-2s}}{s(s^{2}+3s+2)}+\frac{1}{s^{2}+3s+2}
expand (-2x^2+289)/((x^2+289)^{5/2)}	expand\:\frac{-2x^{2}+289}{(x^{2}+289)^{\frac{5}{2}}}
expand (2x-3)(2-1/2 x)^5	expand\:(2x-3)(2-\frac{1}{2}x)^{5}
simplify 5((x^2)/2-(2x^3)/3)+3000	simplify\:5(\frac{x^{2}}{2}-\frac{2x^{3}}{3})+3000
expand (sqrt(5(x+h)+1-\sqrt{5x+1)})/h	expand\:\frac{\sqrt{5(x+h)+1-\sqrt{5x+1}}}{h}
expand (2-2pix)^2	expand\:(2-2πx)^{2}
expand-5/(12(x+2))+(5x-8)/(12(x^2-2x+4))	expand\:-\frac{5}{12(x+2)}+\frac{5x-8}{12(x^{2}-2x+4)}
expand (x^2+1)\sqrt[3]{x^2+2}	expand\:(x^{2}+1)\sqrt[3]{x^{2}+2}
expand (2(x+2))/((x-1)^4)	expand\:\frac{2(x+2)}{(x-1)^{4}}
expand (-3/4 x+10)^2	expand\:(-\frac{3}{4}x+10)^{2}
expand (-3+sqrt(251))\times 3pi	expand\:(-3+\sqrt{251})\times\:3π
expand e^{-iln(sqrt(3))}	expand\:e^{-i\ln(\sqrt{3})}
expand x/((3x+1)(2x-3))	expand\:\frac{x}{(3x+1)(2x-3)}
simplify (sin(x))(3-4(sin(x))^2)	simplify\:(\sin(x))(3-4(\sin(x))^{2})
expand (-1-sqrt(-25x^2-10x+101))^3	expand\:(-1-\sqrt{-25x^{2}-10x+101})^{3}
expand t(m-e)	expand\:t(m-e)
expand (sin(x)(1-sin(x)))/(1+sin(x))	expand\:\frac{\sin(x)(1-\sin(x))}{1+\sin(x)}
simplify (\sqrt[3]{2}+i)^4	simplify\:(\sqrt[3]{2}+i)^{4}
simplify (\sqrt[3]{2}+i)^3	simplify\:(\sqrt[3]{2}+i)^{3}
expand sqrt(2)-x(sqrt(2)-x,)	expand\:\sqrt{2}-x(\sqrt{2}-x,)
expand 3/(sqrt(2x))+1/y	expand\:\frac{3}{\sqrt{2x}}+\frac{1}{y}
simplify sqrt(7)(sqrt(7)+qsqrt(21))	simplify\:\sqrt{7}(\sqrt{7}+q\sqrt{21})
simplify (sqrt(3)u+sqrt(3/23)v)^2	simplify\:(\sqrt{3}u+\sqrt{\frac{3}{23}}v)^{2}
expand (x(x^2-4)(x+C))/(x+3)	expand\:\frac{x(x^{2}-4)(x+C)}{x+3}
expand (1-e^{-50x})^{25}	expand\:(1-e^{-50x})^{25}
simplify (x-i+2)^2	simplify\:(x-i+2)^{2}
expand (3x+2)/((x-15)(x+1))	expand\:\frac{3x+2}{(x-15)(x+1)}
expand A(3,-6)Y(7,8)	expand\:A(3,-6)Y(7,8)
expand ln(x)x(x+2)(x+6)	expand\:\ln(x)x(x+2)(x+6)
simplify e^{(-3+i)t}	simplify\:e^{(-3+i)t}
expand (e^{k(t-a)}-1)/(e^{k(t-a))+1}	expand\:\frac{e^{k(t-a)}-1}{e^{k(t-a)}+1}
expand 7x^2(5-2sqrt(x))	expand\:7x^{2}(5-2\sqrt{x})
expand (4(-x^6+81x^2))/((x^4+27)^2)	expand\:\frac{4(-x^{6}+81x^{2})}{(x^{4}+27)^{2}}
expand (x+2)'(sqrt(x))-(x+2)(sqrt(x))'	expand\:(x+2)\prime\:\cdot\:(\sqrt{x})-(x+2)\cdot\:(\sqrt{x})\prime\:
expand ((k^2+3k+2)^2)/4	expand\:\frac{(k^{2}+3k+2)^{2}}{4}
expand (x^2-4\circ sqrt(x-2))(x)	expand\:(x^{2}-4\circ\:\sqrt{x-2})(x)
expand (-5,-5)y(-10,20)	expand\:(-5,-5)y(-10,20)
expand 2xy(3y-x-1)^2	expand\:2xy(3y-x-1)^{2}
expand 3!	expand\:3!
expand 1.732-1661	expand\:1.732-1661
expand xsin(y)(1-x)	expand\:x\sin(y)(1-x)
expand (y^2-x^2)/((x^2+y^2)^2)	expand\:\frac{y^{2}-x^{2}}{(x^{2}+y^{2})^{2}}
expand xsin(y)dy+(x^3-2x^2cos(y)+cos(y))dy	expand\:x\sin(y)dy+(x^{3}-2x^{2}\cos(y)+\cos(y))dy
derivative of ({f}(x(x)^2)(x^3-2x^2-6))	\frac{d}{dx}(({f}(x)(x)^{2})(x^{3}-2x^{2}-6))
expand dx((e^{-(2x)/L}w^3)/(6)+Cw+C)	expand\:dx(\frac{e^{-\frac{2x}{L}}w^{3}}{6}+Cw+C)
expand (5x-2)/((5x+4)^2)	expand\:\frac{5x-2}{(5x+4)^{2}}
expand 4/(s^2(s^2-4))	expand\:\frac{4}{s^{2}(s^{2}-4)}
expand (1-2t)/(t^2(1-t)^2)	expand\:\frac{1-2t}{t^{2}(1-t)^{2}}
simplify x(x^2-x+1/6)(x-1/2)	simplify\:x(x^{2}-x+\frac{1}{6})(x-\frac{1}{2})
expand (sin(x)+cos(y))(sin(y)-cos(x))	expand\:(\sin(x)+\cos(y))(\sin(y)-\cos(x))
expand (e^{-4s}+2s)/(s(s-2))	expand\:\frac{e^{-4s}+2s}{s(s-2)}
expand (f(x)(-7x+8))/((2x-6)(7x+4))	expand\:\frac{f(x)(-7x+8)}{(2x-6)(7x+4)}
simplify (x-1)(x-1-sqrt(3))(x-1+sqrt(3))	simplify\:(x-1)(x-1-\sqrt{3})(x-1+\sqrt{3})
expand (34u(2-u))/(1+4u-2u^2)	expand\:\frac{34u(2-u)}{1+4u-2u^{2}}
expand ((8x-3)^3)/(1728)	expand\:\frac{(8x-3)^{3}}{1728}
simplify 2(7xy+5)(7y+7x derivative of (yy))	simplify\:2(7xy+5)(7y+7x\frac{d}{dx}((y)y))
expand (3x^2-4)*cos(x^3+2x^2+10)	expand\:(3x^{2}-4)\cdot\:\cos(x^{3}+2x^{2}+10)
expand (-e^{-x}cos(4x)-4e^{-x}sin(4x))^2	expand\:(-e^{-x}\cos(4x)-4e^{-x}\sin(4x))^{2}
expand (2/3 b+3/4)^3	expand\:(\frac{2}{3}b+\frac{3}{4})^{3}
expand (14tan(θ)-5)(17tan(θ)+16)	expand\:(14\tan(θ)-5)(17\tan(θ)+16)
expand (4x-pi)^2	expand\:(4x-π)^{2}
expand ysec(x)dx-(y+1)tan(x)dy	expand\:y\sec(x)dx-(y+1)\tan(x)dy
simplify (7sqrt(2)+x)(7sqrt(2)-x)	simplify\:(7\sqrt{2}+x)(7\sqrt{2}-x)
expand ((-1+2α-α^2)(ψe^{(1-α)ψu}))/((1-u)^α)	expand\:\frac{(-1+2α-α^{2})(ψe^{(1-α)ψu})}{(1-u)^{α}}
expand (e^{x/(150)}-e^{-x/(150)})^2	expand\:(e^{\frac{x}{150}}-e^{-\frac{x}{150}})^{2}
expand (4x-pi)^5	expand\:(4x-π)^{5}
expand ((x+2)(x^2-2x+4))/(x^3)	expand\:\frac{(x+2)(x^{2}-2x+4)}{x^{3}}
expand (1-cos(6x))^2	expand\:(1-\cos(6x))^{2}
simplify 1+(20.05(s+7.28))/((s^2+8s+15)(s+19.42))	simplify\:1+\frac{20.05(s+7.28)}{(s^{2}+8s+15)(s+19.42)}
expand (n(3n+5))/(4(n+1)(n+2))	expand\:\frac{n(3n+5)}{4(n+1)(n+2)}
expand (x-sin(x))(1-cos(x))	expand\:(x-\sin(x))(1-\cos(x))

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