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expand (3x)/((x+1)(x+2))	expand\:\frac{3x}{(x+1)(x+2)}
(d^2)/(dx^2)((y)(2x^2+cos(x)))	\frac{d^{2}}{dx^{2}}((y)(2x^{2}+\cos(x)))
expand (8(-3x^2+2))/((x^2+2)^3)	expand\:\frac{8(-3x^{2}+2)}{(x^{2}+2)^{3}}
((n(n+1)))/2	\frac{(n(n+1))}{2}
expand (2s+10)/(s(s^2+6s+25))	expand\:\frac{2s+10}{s(s^{2}+6s+25)}
expand (1-e^{-pijn})^2	expand\:(1-e^{-πjn})^{2}
d/(dt)((x)((x-1)(1-2x)))	\frac{d}{dt}((x)((x-1)(1-2x)))
expand (3-x)/((x+2)(x-2))	expand\:\frac{3-x}{(x+2)(x-2)}
expand ln(x)(x+2)(x+1)	expand\:\ln(x)(x+2)(x+1)
expand (e^x-e^{-x})*(e^x+e^{-x})	expand\:(e^{x}-e^{-x})\cdot\:(e^{x}+e^{-x})
expand (15(e-1))/(2e)	expand\:\frac{15(e-1)}{2e}
(\partial)/(\partial t)((z)(x^2+y^5))	\frac{\partial\:}{\partial\:t}((z)(x^{2}+y^{5}))
expand (\frac{1+s^2)/(s^2)}{s^2+3}	expand\:\frac{\frac{1+s^{2}}{s^{2}}}{s^{2}+3}
expand ((x^3+7x+10)(x+5))/((x+2)(x^2+8x+12))	expand\:\frac{(x^{3}+7x+10)(x+5)}{(x+2)(x^{2}+8x+12)}
(\partial)/(\partial y)((x)(-2x^2+y^2))	\frac{\partial\:}{\partial\:y}((x)(-2x^{2}+y^{2}))
expand (e^z)/((z)(1+z)^3)	expand\:\frac{e^{z}}{(z)(1+z)^{3}}
expand (24e^{-5s})/((s-3)(s+3))	expand\:\frac{24e^{-5s}}{(s-3)(s+3)}
expand (-9x^2+144x-576)/2+5x^2-80x+320	expand\:\frac{-9x^{2}+144x-576}{2}+5x^{2}-80x+320
expand-(3(1+sqrt(249)))/(20)	expand\:-\frac{3(1+\sqrt{249})}{20}
expand x/((x-1)(x-2)(x-3))	expand\:\frac{x}{(x-1)(x-2)(x-3)}
expand sqrt((x-c)^2+y^2)+sqrt((x+c)^2+y^2)	expand\:\sqrt{(x-c)^{2}+y^{2}}+\sqrt{(x+c)^{2}+y^{2}}
expand (2(3+sqrt(6)))/3	expand\:\frac{2(3+\sqrt{6})}{3}
expand x^{1/x-2}*(1-ln(x))	expand\:x^{\frac{1}{x}-2}\cdot\:(1-\ln(x))
expand (5-x)/(x(x-3))	expand\:\frac{5-x}{x(x-3)}
expand (2x+7)^2pi	expand\:(2x+7)^{2}π
expand 1/(s(s+a)(s+b))	expand\:\frac{1}{s(s+a)(s+b)}
expand (x^2-2x-1)/((x-1)^2(x+2))	expand\:\frac{x^{2}-2x-1}{(x-1)^{2}(x+2)}
expand (k+1)!*(k+2)-1	expand\:(k+1)!\cdot\:(k+2)-1
expand (2-sqrt(x-3))/((x+7)(x-7))	expand\:\frac{2-\sqrt{x-3}}{(x+7)(x-7)}
expand (log_{10}(x))/((log_{10)(x)+1)^2}	expand\:\frac{\log_{10}(x)}{(\log_{10}(x)+1)^{2}}
expand (x^3-8x^2-1)/((x+3)(x-2)(x^2+1))	expand\:\frac{x^{3}-8x^{2}-1}{(x+3)(x-2)(x^{2}+1)}
expand (e^{-x}-x)^2	expand\:(e^{-x}-x)^{2}
expand (1+y^2)dx+(x^2y+y)dy	expand\:(1+y^{2})dx+(x^{2}y+y)dy
expand (20)/((S+1)(S^2+4S+13))	expand\:\frac{20}{(S+1)(S^{2}+4S+13)}
expand (x^3+1)/(x(x-1)^3)	expand\:\frac{x^{3}+1}{x(x-1)^{3}}
expand 1/((x+c)(x))	expand\:\frac{1}{(x+c)(x)}
expand (ye^{xy}+2x-1)dx+(xe^{xy}-2y+1)dy	expand\:(ye^{xy}+2x-1)dx+(xe^{xy}-2y+1)dy
expand (a+iΔx)^2	expand\:(a+iΔx)^{2}
derivative of (w(x,y(w,x))(x^2+y(w,x)^2))	\frac{d}{dx}((w(x,y(w,x)))(x^{2}+y(w,x)^{2}))
expand 1/((x+3)^5)	expand\:\frac{1}{(x+3)^{5}}
expand (y''(t)+y)^2	expand\:(y\prime\:\prime\:(t)+y)^{2}
expand (2x+7)/((x+3)(x+4))	expand\:\frac{2x+7}{(x+3)(x+4)}
expand 16(sqrt(3)sqrt(i)+1)^8	expand\:16(\sqrt{3}\sqrt{i}+1)^{8}
expand y(ydx-xdy)+3sqrt(y^4-x^4)(ydx+xdy)	expand\:y(ydx-xdy)+3\sqrt{y^{4}-x^{4}}(ydx+xdy)
expand (16(3x^2+4))/((x^2-4)^3)	expand\:\frac{16(3x^{2}+4)}{(x^{2}-4)^{3}}
expand (-8,-2)y(-4,6)	expand\:(-8,-2)y(-4,6)
expand log_{6}(\sqrt[4]{7x})	expand\:\log_{6}(\sqrt[4]{7x})
(((4+h)^{3/2}-8))/h	\frac{((4+h)^{\frac{3}{2}}-8)}{h}
expand (h*(a+b))/2	expand\:\frac{h\cdot\:(a+b)}{2}
expand sqrt(x^2+(y+3)^2)	expand\:\sqrt{x^{2}+(y+3)^{2}}
expand (3x-sqrt(2))^5	expand\:(3x-\sqrt{2})^{5}
(\partial)/(\partial x)((z)(xy+yz+zx-1))	\frac{\partial\:}{\partial\:x}((z)(xy+yz+zx-1))
expand (18818+10864sqrt(3))/((2+sqrt(3))^4)	expand\:\frac{18818+10864\sqrt{3}}{(2+\sqrt{3})^{4}}
expand-3((4,0,-8)-8(6,-1,-4))	expand\:-3((4,0,-8)-8(6,-1,-4))
expand ((y^4-1)^2)/(4y^4)	expand\:\frac{(y^{4}-1)^{2}}{4y^{4}}
expand ((3n)(3n+1))/((3n-1)(3n+2))	expand\:\frac{(3n)(3n+1)}{(3n-1)(3n+2)}
expand (y+x(x^2+y^2)^2)dx+(y(x^2+y^2)^2-x)	expand\:(y+x(x^{2}+y^{2})^{2})dx+(y(x^{2}+y^{2})^{2}-x)
expand s/((s-1)(s+2))	expand\:\frac{s}{(s-1)(s+2)}
expand 1/((x-3)^5)	expand\:\frac{1}{(x-3)^{5}}
expand (2s^3-3s^2+10s-12)/((s^2+1)(s-2)^2)	expand\:\frac{2s^{3}-3s^{2}+10s-12}{(s^{2}+1)(s-2)^{2}}
expand 1/((1+4x)^4)	expand\:\frac{1}{(1+4x)^{4}}
expand 2295491.0887*(1.08)^{16}	expand\:2295491.0887\cdot\:(1.08)^{16}
expand (x-9\circ x^2)*4	expand\:(x-9\circ\:x^{2})\cdot\:4
expand (e^{-2+sqrt(2)}(6-4sqrt(2)))/(49)	expand\:\frac{e^{-2+\sqrt{2}}(6-4\sqrt{2})}{49}
expand 1/((x+1)(x^2+2x+2))	expand\:\frac{1}{(x+1)(x^{2}+2x+2)}
expand (6x^2-x-136)/((x-5)(x+4))	expand\:\frac{6x^{2}-x-136}{(x-5)(x+4)}
expand (2,0,-2)y(3,-3,0)	expand\:(2,0,-2)y(3,-3,0)
expand (ab(a^4+b^4))/(a^6+b^6)	expand\:\frac{ab(a^{4}+b^{4})}{a^{6}+b^{6}}
expand (1-x/2)^{1/2}	expand\:(1-\frac{x}{2})^{\frac{1}{2}}
expand 1/((k+3)(k+4))	expand\:\frac{1}{(k+3)(k+4)}
expand (2)(3x-2y=9)	expand\:(2)(3x-2y=9)
expand (e^{-s})/(2s(s+3))	expand\:\frac{e^{-s}}{2s(s+3)}
((4x^2+6x))/((x^2+1)(x^2+4))	\frac{(4x^{2}+6x)}{(x^{2}+1)(x^{2}+4)}
expand x/((x^2-2)^2)	expand\:\frac{x}{(x^{2}-2)^{2}}
expand (e^2sin^2(t)-3cos^2(t))(-sin(t))	expand\:(e^{2}\sin^{2}(t)-3\cos^{2}(t))(-\sin(t))
expand (s^2+5-e^{-s})/(s(s^2+9))	expand\:\frac{s^{2}+5-e^{-s}}{s(s^{2}+9)}
expand-(2(-x^2+x+3))/(e^x)	expand\:-\frac{2(-x^{2}+x+3)}{e^{x}}
1/(((x-3)(x-2)))	\frac{1}{((x-3)(x-2))}
expand (sin(x)-1)ln(tan(x))	expand\:(\sin(x)-1)\ln(\tan(x))
expand a(25,12)b(6,-13)	expand\:a(25,12)b(6,-13)
expand 1/((1-bz)(1-az))	expand\:\frac{1}{(1-bz)(1-az)}
expand e^x(-xe^{-x}-e^{-x})	expand\:e^{x}(-xe^{-x}-e^{-x})
expand (200x^2-1600x+2400)/((x^2-8x+20)^2)	expand\:\frac{200x^{2}-1600x+2400}{(x^{2}-8x+20)^{2}}
expand 2/((2s+1)(s+1))	expand\:\frac{2}{(2s+1)(s+1)}
expand ((n(n+1)(2n+1))/6)(2/n)^3	expand\:(\frac{n(n+1)(2n+1)}{6})(\frac{2}{n})^{3}
expand (2(-2e^{-x}cos(2x)-e^{-x}sin(2x)))/5	expand\:\frac{2(-2e^{-x}\cos(2x)-e^{-x}\sin(2x))}{5}
expand (x^2y-x^2+y-1)dx+(xy+2x-3y-6)dy	expand\:(x^{2}y-x^{2}+y-1)dx+(xy+2x-3y-6)dy
expand (s+3)/((s-2)(s+1))	expand\:\frac{s+3}{(s-2)(s+1)}
expand \sqrt[3]{5}+(7pi)/5-2(sqrt(5)-3pi)	expand\:\sqrt[3]{5}+\frac{7π}{5}-2(\sqrt{5}-3π)
(\partial)/(\partial x)(({f}(x,y))(4y^3+2y))	\frac{\partial\:}{\partial\:x}(({f}(x,y))(4y^{3}+2y))
expand (s^2+2-e^{-(pis)})/(s(s^2+9))	expand\:\frac{s^{2}+2-e^{-(πs)}}{s(s^{2}+9)}
((cos(2x)-e^{-2x^2}))/((sin(x))^4)	\frac{(\cos(2x)-e^{-2x^{2}})}{(\sin(x))^{4}}
simplify (k(s+0.5))/((s+2)^2(s+1)+k(s+0.5))	simplify\:\frac{k(s+0.5)}{(s+2)^{2}(s+1)+k(s+0.5)}
expand 3sin(θ^2)-(1+sin(θ))^2dθ	expand\:3\sin(θ^{2})-(1+\sin(θ))^{2}dθ
expand (2s-4)/(s(s+1)(s^2+1))	expand\:\frac{2s-4}{s(s+1)(s^{2}+1)}
expand ((10x^2+y^2+5xy)xy)/5	expand\:\frac{(10x^{2}+y^{2}+5xy)xy}{5}
expand (2+s)/((100+s)^2)	expand\:\frac{2+s}{(100+s)^{2}}
expand-1/((s-1)^2(s+2))	expand\:-\frac{1}{(s-1)^{2}(s+2)}
expand ((2x+1)(x-5))/(3x+2)	expand\:\frac{(2x+1)(x-5)}{3x+2}
expand (2x-1)/((x+2)(3x^2-2x))	expand\:\frac{2x-1}{(x+2)(3x^{2}-2x)}

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