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expand ((9y^6-1)^2)/(36y^6)	expand\:\frac{(9y^{6}-1)^{2}}{36y^{6}}
expand (10)/((x+1)(x+2)(x^2+1))	expand\:\frac{10}{(x+1)(x+2)(x^{2}+1)}
expand (-6=sqrt(2))(-4+sqrt(10))	expand\:(-6=\sqrt{2})(-4+\sqrt{10})
expand 1/(x^2(x^2+4))	expand\:\frac{1}{x^{2}(x^{2}+4)}
expand (3/5)^2	expand\:(\frac{3}{5})^{2}
expand (derivative of xe^{2x}-2)^2	expand\:(\frac{d}{dx}(xe^{2x})-2)^{2}
expand 2/(20*5sqrt(5))	expand\:\frac{2}{20\cdot\:5\sqrt{5}}
simplify ((x^2-y^2)(y^2-x^2))/(x^2y^2)	simplify\:\frac{(x^{2}-y^{2})(y^{2}-x^{2})}{x^{2}y^{2}}
expand (3x^2+2x-9)(ln(x^3-5x))	expand\:(3x^{2}+2x-9)(\ln(x^{3}-5x))
d/(dt)((x)(a(t+sin(t)cos(t))))	\frac{d}{dt}((x)(a(t+\sin(t)\cos(t))))
expand log_{a}(b)log_{b}(c)log_{c}(a)	expand\:\log_{a}(b)\log_{b}(c)\log_{c}(a)
simplify 1+(0.024X)/((s+0.2)(s+0.1))	simplify\:1+\frac{0.024X}{(s+0.2)(s+0.1)}
expand argument(1+i)	expand\:argument(1+i)
expand ((s+1)^2)/((s+4)^4)	expand\:\frac{(s+1)^{2}}{(s+4)^{4}}
expand 2x^{(10x-1)(10x+1)}	expand\:2x^{(10x-1)(10x+1)}
expand 1/((x+3)(x+4)(x+1))	expand\:\frac{1}{(x+3)(x+4)(x+1)}
expand (e^xsin(2x))*(e^xcos(2x)-2e^xsin(2x))	expand\:(e^{x}\sin(2x))\cdot\:(e^{x}\cos(2x)-2e^{x}\sin(2x))
expand ln(\sqrt[15]{x})	expand\:\ln(\sqrt[15]{x})
expand (2/3+e)(z-1)	expand\:(\frac{2}{3}+e)(z-1)
expand (3x)/((2-x)(a+x^2))	expand\:\frac{3x}{(2-x)(a+x^{2})}
expand ((12-x-y)^2)/4	expand\:\frac{(12-x-y)^{2}}{4}
expand (13(3x^2-2sqrt(3)xy+y^2))/4	expand\:\frac{13(3x^{2}-2\sqrt{3}xy+y^{2})}{4}
expand product(3x+2)(4x^2-7x+1)is	expand\:product(3x+2)(4x^{2}-7x+1)is
expand 1/(t(t-11))	expand\:\frac{1}{t(t-11)}
expand ((-x+10)/3)^2	expand\:(\frac{-x+10}{3})^{2}
expand (7s)/((s^2+k^2)(s-1))	expand\:\frac{7s}{(s^{2}+k^{2})(s-1)}
expand (x-np)/(p(1-p))	expand\:\frac{x-np}{p(1-p)}
expand (((z+12))/2)^3	expand\:(\frac{(z+12)}{2})^{3}
expand f(x)(x^3-2)e^{-3x-5}	expand\:f(x)(x^{3}-2)e^{-3x-5}
expand (4pi+2)rad	expand\:(4π+2)rad
expand A(-3,-2)B(4,6)	expand\:A(-3,-2)B(4,6)
expand 4sin(pi/2 (x-3))+6	expand\:4\sin(\frac{π}{2}(x-3))+6
expand 15(3/2+15/16 x)^6	expand\:15(\frac{3}{2}+\frac{15}{16}x)^{6}
expand [r(cos(θ)+isin(θ))]^n	expand\:[r(\cos(θ)+i\sin(θ))]^{n}
expand (70e^{2t}+1/(t+5))dx	expand\:(70e^{2t}+\frac{1}{t+5})dx
expand (x^4+y^4+z^4)/((x^2+y^2+z^2)^2)	expand\:\frac{x^{4}+y^{4}+z^{4}}{(x^{2}+y^{2}+z^{2})^{2}}
expand 1/((x^2+1)sqrt(x^2+1))	expand\:\frac{1}{(x^{2}+1)\sqrt{x^{2}+1}}
((1-3x^2))/(x(1+3x^2))	\frac{(1-3x^{2})}{x(1+3x^{2})}
(\partial)/(\partial t)((y)(pi-t))	\frac{\partial\:}{\partial\:t}((y)(π-t))
expand 59-3(3x+5=28)	expand\:59-3(3x+5=28)
expand xy'(x)+3(y+x^2)	expand\:xy\prime\:(x)+3(y+x^{2})
expand sqrt(-a(-a+2)+1)	expand\:\sqrt{-a(-a+2)+1}
expand (1-e^{-2x})/(x(x+2)(x-1))	expand\:\frac{1-e^{-2x}}{x(x+2)(x-1)}
expand (-2x^2+4)/(x(x^2+4)(x^2+1))	expand\:\frac{-2x^{2}+4}{x(x^{2}+4)(x^{2}+1)}
(d^2)/(dx^2)((y)(2x^{5/3}-5x^{4/3}))	\frac{d^{2}}{dx^{2}}((y)(2x^{\frac{5}{3}}-5x^{\frac{4}{3}}))
expand (2xy)dx+(3x^2-yx)dy	expand\:(2xy)dx+(3x^{2}-yx)dy
expand derivative of 3x^4+(2x-1)^2	expand\:\frac{d}{dx}(3x^{4})+(2x-1)^{2}
expand ((x-2)x)/(2(x+3))	expand\:\frac{(x-2)x}{2(x+3)}
expand 2/((s-6)(s+6))	expand\:\frac{2}{(s-6)(s+6)}
expand log_{10}(sqrt(57/74))	expand\:\log_{10}(\sqrt{\frac{57}{74}})
expand ((x^2+2)^3)/6	expand\:\frac{(x^{2}+2)^{3}}{6}
expand \delta(x)*(x-1)	expand\:\delta(x)\cdot\:(x-1)
expand x-((x^2-2)ln(x))/(2x^2ln(x)+x^2-2)	expand\:x-\frac{(x^{2}-2)\ln(x)}{2x^{2}\ln(x)+x^{2}-2}
expand 2/((s+1)^2)	expand\:\frac{2}{(s+1)^{2}}
expand 6/((1+5.1s)(1+0.1s))	expand\:\frac{6}{(1+5.1s)(1+0.1s)}
expand x2+4x	expand\:x2+4x
expand (3x^2+2)e^x+(x^3+2x)e^x	expand\:(3x^{2}+2)e^{x}+(x^{3}+2x)e^{x}
expand f(x^2-sin(x))dx	expand\:f(x^{2}-\sin(x))dx
((-4t^4+32t))/((4+t^3)^2)	\frac{(-4t^{4}+32t)}{(4+t^{3})^{2}}
expand 4y^2dx-(3-yln(y))dy	expand\:4y^{2}dx-(3-y\ln(y))dy
expand 10*(2.54-((2.537)/x)=25.43)	expand\:10\cdot\:(2.54-(\frac{2.537}{x})=25.43)
expand 9800(220pi-250/3)	expand\:9800(220π-\frac{250}{3})
expand (3(5m-7))/(4m+8)	expand\:\frac{3(5m-7)}{4m+8}
expand-2/(13(s^2+4))	expand\:-\frac{2}{13(s^{2}+4)}
(\partial)/(\partial y)(({f}(y,x))(3x+2y))	\frac{\partial\:}{\partial\:y}(({f}(y,x))(3x+2y))
expand (4x)/((1+x^2)^2)	expand\:\frac{4x}{(1+x^{2})^{2}}
expand (n(n-1))/4	expand\:\frac{n(n-1)}{4}
expand P_{2}(-2,-15)yP_{2}(-6,-13)	expand\:P_{2}(-2,-15)yP_{2}(-6,-13)
expand (-x^2+6x-4)/((x^2-4)^2)	expand\:\frac{-x^{2}+6x-4}{(x^{2}-4)^{2}}
(x^3)/((a^2(x-1)))	\frac{x^{3}}{(a^{2}(x-1))}
expand (xy^2+x)dx	expand\:(xy^{2}+x)dx
expand (dx)/((x^2+4)^2)	expand\:\frac{dx}{(x^{2}+4)^{2}}
expand (2+6e^{-2x})^2	expand\:(2+6e^{-2x})^{2}
expand ((1+6x)^5)/5	expand\:\frac{(1+6x)^{5}}{5}
expand 1/((s+2)(s-1))	expand\:\frac{1}{(s+2)(s-1)}
expand 2(ln(2x)+β)	expand\:2(\ln(2x)+β)
expand (2s(e^{-pis}-e^{-2pis}))/(s^2+4)	expand\:\frac{2s(e^{-πs}-e^{-2πs})}{s^{2}+4}
expand 1/((5x+2)^3)	expand\:\frac{1}{(5x+2)^{3}}
expand s/((s^2-1)(s^2-2s+2))	expand\:\frac{s}{(s^{2}-1)(s^{2}-2s+2)}
expand ((x+1)^2(x^2-2x+3))/((x+3)(x-2))	expand\:\frac{(x+1)^{2}(x^{2}-2x+3)}{(x+3)(x-2)}
expand (2x^2-5x-1)/(x^2(x-1))	expand\:\frac{2x^{2}-5x-1}{x^{2}(x-1)}
expand sqrt((3-pi)^2)	expand\:\sqrt{(3-π)^{2}}
expand ((3x-1)sqrt(9x^4+1))/(12x^3-1)	expand\:\frac{(3x-1)\sqrt{9x^{4}+1}}{12x^{3}-1}
simplify e^{it}(e^{2it}-e^{it}+2)	simplify\:e^{it}(e^{2it}-e^{it}+2)
expand (m^4-3m^2+1)dm	expand\:(m^{4}-3m^{2}+1)dm
expand 3(x^2-ln(2x))^2(2x-1/x)	expand\:3(x^{2}-\ln(2x))^{2}(2x-\frac{1}{x})
expand (3(2-z)^2)/2	expand\:\frac{3(2-z)^{2}}{2}
expand (-1,2)y(4,-2)	expand\:(-1,2)y(4,-2)
expand (1+sin^2(x))dx	expand\:(1+\sin^{2}(x))dx
expand 4x^2+16x+16*2x+4	expand\:4x^{2}+16x+16\cdot\:2x+4
expand-(6(x+1)(x-3))/(3-2x)	expand\:-\frac{6(x+1)(x-3)}{3-2x}
expand ((y+1)^2)/9	expand\:\frac{(y+1)^{2}}{9}
expand (7x+116)/((x-4)^2(x+5))	expand\:\frac{7x+116}{(x-4)^{2}(x+5)}
expand (7x^3+x^2+49x+1)/((x^2+1)(x^2+7))	expand\:\frac{7x^{3}+x^{2}+49x+1}{(x^{2}+1)(x^{2}+7)}
expand (3x^2+3x+7)/((x-2)^2(x^2+1))	expand\:\frac{3x^{2}+3x+7}{(x-2)^{2}(x^{2}+1)}
expand 19600(-512/3+432pi)	expand\:19600(-\frac{512}{3}+432π)
expand (2x)/((r+1)(r-1))	expand\:\frac{2x}{(r+1)(r-1)}
expand (s^2+s+1)/((s^2+1)^2)	expand\:\frac{s^{2}+s+1}{(s^{2}+1)^{2}}
expand-(2e^2)/((1+e^2)^2)	expand\:-\frac{2e^{2}}{(1+e^{2})^{2}}
expand s(s^2+5s+5)^2	expand\:s(s^{2}+5s+5)^{2}

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