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expand (4+t^2)(dy)/(dt)+2ty	expand\:(4+t^{2})\frac{dy}{dt}+2ty
expand ((x+1)x^2(x-1)^2)/4	expand\:\frac{(x+1)x^{2}(x-1)^{2}}{4}
expand (4-rcos(θ)-rsin(θ))^2	expand\:(4-r\cos(θ)-r\sin(θ))^{2}
simplify 3(4+sqrt(2))	simplify\:3(4+\sqrt{2})
expand (115(80j+13))/(80j+36)	expand\:\frac{115(80j+13)}{80j+36}
expand (x+1)e	expand\:(x+1)e
expand (2-2e^{-4s}+6s)/(s(s-1))	expand\:\frac{2-2e^{-4s}+6s}{s(s-1)}
expand (x-3)× (-2-sqrt(x+1))	expand\:(x-3)\times\:(-2-\sqrt{x+1})
expand ((x-4)(x-3)^2)/((x+1)(x-2)^3)	expand\:\frac{(x-4)(x-3)^{2}}{(x+1)(x-2)^{3}}
simplify (sqrt(3/5)x+sqrt(3/11)y)^2	simplify\:(\sqrt{\frac{3}{5}}x+\sqrt{\frac{3}{11}}y)^{2}
expand ((46-x)(33-x))/((39-x)^2)	expand\:\frac{(46-x)(33-x)}{(39-x)^{2}}
expand (s^2+s+1-e^{-pis})/(s(s^2+4))	expand\:\frac{s^{2}+s+1-e^{-πs}}{s(s^{2}+4)}
expand (2x(1-yx+y^2))/(x^2-y^2)	expand\:\frac{2x(1-yx+y^{2})}{x^{2}-y^{2}}
expand (x^2(8y^3+3x)^2)/(16)	expand\:\frac{x^{2}(8y^{3}+3x)^{2}}{16}
expand 1/((s^2+a^2)*(s^2+b^2))	expand\:\frac{1}{(s^{2}+a^{2})\cdot\:(s^{2}+b^{2})}
(d^2)/(d{y)^2}(({f}(x))({x}({y}-sin({y}))))	\frac{d^{2}}{d{y}^{2}}(({f}(x))({x}({y}-\sin({y}))))
expand (4x^2-24x-52)/((x-3)^2)	expand\:\frac{4x^{2}-24x-52}{(x-3)^{2}}
expand (2i+1)^3-(2j+1)^3	expand\:(2i+1)^{3}-(2j+1)^{3}
expand 4x-2(x-2=-9+4x+7)	expand\:4x-2(x-2=-9+4x+7)
expand 3y^2(1-x)^3+e^{-x}	expand\:3y^{2}(1-x)^{3}+e^{-x}
expand A(6,-8)yB(-5,0)	expand\:A(6,-8)yB(-5,0)
expand (29000(-x^2+90))/((x^2+90)^2)	expand\:\frac{29000(-x^{2}+90)}{(x^{2}+90)^{2}}
expand (\|(x-3)^2\|)/(x-3)	expand\:\frac{\left\|(x-3)^{2}\right\|}{x-3}
expand ((x-12)(x^2-x+6))/((x^2+x-12)(x-8))	expand\:\frac{(x-12)(x^{2}-x+6)}{(x^{2}+x-12)(x-8)}
expand (6x^2+8x-24)/(2x)	expand\:\frac{6x^{2}+8x-24}{2x}
expand (24sin(x)+6sin(2x))^2	expand\:(24\sin(x)+6\sin(2x))^{2}
d/(dq)((c)(0.2q^2+2q+500))	\frac{d}{dq}((c)(0.2q^{2}+2q+500))
expand (y=2-x)(0.5)	expand\:(y=2-x)(0.5)
expand (-4,-5)y(6,-1)	expand\:(-4,-5)y(6,-1)
expand (-7x^8+9)/((x^8+9)^2)	expand\:\frac{-7x^{8}+9}{(x^{8}+9)^{2}}
expand a(e+2d)^3+b(e+2d)^3+c	expand\:a(e+2d)^{3}+b(e+2d)^{3}+c
expand (e+c+f)^2	expand\:(e+c+f)^{2}
expand (3x+(7/8)/x)^8	expand\:(3x+\frac{\frac{7}{8}}{x})^{8}
expand (mucos(θ)+nucos(θ)-mv)^2	expand\:(mu\cos(θ)+nu\cos(θ)-mv)^{2}
expand 7/((s+3)^3)	expand\:\frac{7}{(s+3)^{3}}
expand (x(x+2))/((x+1)^2)	expand\:\frac{x(x+2)}{(x+1)^{2}}
simplify (sqrt(x)+5x-2)(\sqrt[3]{x}-3sqrt(x))	simplify\:(\sqrt{x}+5x-2)(\sqrt[3]{x}-3\sqrt{x})
expand ((s+1)(s+30.1))/s	expand\:\frac{(s+1)(s+30.1)}{s}
expand (sec(x)scx-tan(x))sec(x)	expand\:(\sec(x)scx-\tan(x))\sec(x)
expand 1/((1+x^2)^n(1+x^2))	expand\:\frac{1}{(1+x^{2})^{n}(1+x^{2})}
expand 1/((x^2-a^2)^2)	expand\:\frac{1}{(x^{2}-a^{2})^{2}}
expand (2sqrt(k)(k+1)+sqrt(k+1))/(k+1)	expand\:\frac{2\sqrt{k}(k+1)+\sqrt{k+1}}{k+1}
simplify sqrt(2)((sqrt(2))/2+4/5)	simplify\:\sqrt{2}(\frac{\sqrt{2}}{2}+\frac{4}{5})
expand m(12,-23)n(-34,32)	expand\:m(12,-23)n(-34,32)
expand 20(15e^{-(2x)/5}+1)	expand\:20(15e^{-\frac{2x}{5}}+1)
expand (3x^2-6x+5)/((x-1)^2)	expand\:\frac{3x^{2}-6x+5}{(x-1)^{2}}
expand (-3+sqrt(5))^4	expand\:(-3+\sqrt{5})^{4}
expand ((x-2)(x-3))/6	expand\:\frac{(x-2)(x-3)}{6}
simplify (x+1)(x^2+1/5)	simplify\:(x+1)(x^{2}+\frac{1}{5})
expand 3/4-2/5+3/7	expand\:\frac{3}{4}-\frac{2}{5}+\frac{3}{7}
expand (e^{-x}+e^{2x})^2	expand\:(e^{-x}+e^{2x})^{2}
expand ((x-2))/(3(x+2))	expand\:\frac{(x-2)}{3(x+2)}
expand-6/((3-1)^4)+cos(3-1)	expand\:-\frac{6}{(3-1)^{4}}+\cos(3-1)
expand x^2(sin(x+y^2)+2y^2cos(x+y^2))	expand\:x^{2}(\sin(x+y^{2})+2y^{2}\cos(x+y^{2}))
simplify x(86-x/(18))	simplify\:x(86-\frac{x}{18})
expand (-8+4sqrt(3))(-4-8sqrt(10))	expand\:(-8+4\sqrt{3})(-4-8\sqrt{10})
expand p(-8,5)yQ(2,-3)	expand\:p(-8,5)yQ(2,-3)
expand 2x(e^{2x}+cos(x))+(e^{2x}*2-sin(x))x^2	expand\:2x(e^{2x}+\cos(x))+(e^{2x}\cdot\:2-\sin(x))x^{2}
expand ((s^2+2s+2)s)/((s+1)(s^2+1))	expand\:\frac{(s^{2}+2s+2)s}{(s+1)(s^{2}+1)}
expand (x^3+1/(x^3))^2	expand\:(x^{3}+\frac{1}{x^{3}})^{2}
expand (e^{2x}-1)(e^{2x}+1)	expand\:(e^{2x}-1)(e^{2x}+1)
expand (-12mn+5)left(-3mn-2)	expand\:(-12mn+5)left(-3mn-2)
simplify (a-3sqrt(x-2))x(a+3sqrt(x-2))	simplify\:(a-3\sqrt{x-2})x(a+3\sqrt{x-2})
expand (x^2+6)/(2x+1)-1/2 x	expand\:\frac{x^{2}+6}{2x+1}-\frac{1}{2}x
expand 12(1-(0.87)/pi)	expand\:12(1-\frac{0.87}{π})
simplify (sqrt(x-1)-1)(sqrt(x-1)+1)	simplify\:(\sqrt{x-1}-1)(\sqrt{x-1}+1)
expand sqrt(3)(x+sqrt(2))	expand\:\sqrt{3}(x+\sqrt{2})
expand 8(8t-4sin(pit))	expand\:8(8t-4\sin(πt))
(\partial)/(\partial x)((z)(x^2+y^3))	\frac{\partial\:}{\partial\:x}((z)(x^{2}+y^{3}))
expand (x^3+3x-2x^2-6)+i(-2x^2+4x)	expand\:(x^{3}+3x-2x^{2}-6)+i(-2x^{2}+4x)
expand in((ex^2)/y)	expand\:in(\frac{ex^{2}}{y})
simplify (e^{xi}-cos(x))^2	simplify\:(e^{xi}-\cos(x))^{2}
expand (6/7-x)^5	expand\:(\frac{6}{7}-x)^{5}
(\partial)/(\partial x)((x)(x-3)(y-4))	\frac{\partial\:}{\partial\:x}((x)(x-3)(y-4))
expand f(x)x(2(y)''-x(y)'=e^{-x})	expand\:f(x)x(2(y)\prime\:\prime\:-x(y)\prime\:=e^{-x})
expand e^x(x+e^x)	expand\:e^{x}(x+e^{x})
expand (x(2-x)^4)/4	expand\:\frac{x(2-x)^{4}}{4}
expand (x+sin(x)-1)^2	expand\:(x+\sin(x)-1)^{2}
expand (2x)(sqrt(3x+1)+1)	expand\:(2x)(\sqrt{3x+1}+1)
expand (-1/2 e^t+3/2 e^{-t})*(4e^t+e^{-t})	expand\:(-\frac{1}{2}e^{t}+\frac{3}{2}e^{-t})\cdot\:(4e^{t}+e^{-t})
expand 3/((s+1)(s+2)^2)	expand\:\frac{3}{(s+1)(s+2)^{2}}
expand sin(((2x-1)pi)/2)	expand\:\sin(\frac{(2x-1)π}{2})
simplify 0.502348(-cos(θ)+1)	simplify\:0.502348(-\cos(θ)+1)
simplify-2(1/5+5k)	simplify\:-2(\frac{1}{5}+5k)
d/(dq)(({R}(q))({R}(q)(q^4+1)^5))	\frac{d}{dq}(({R}(q))({R}(q)(q^{4}+1)^{5}))
expand (2sin(x)+1)(cos(x)+1)	expand\:(2\sin(x)+1)(\cos(x)+1)
expand (5x+3)^6dx	expand\:(5x+3)^{6}dx
expand (6x^2-3x^3)dx	expand\:(6x^{2}-3x^{3})dx
expand (x-4)/(x(x-5))	expand\:\frac{x-4}{x(x-5)}
simplify (x+1)(x/(x+1)+1)	simplify\:(x+1)(\frac{x}{x+1}+1)
expand x/((1+7x)^2)	expand\:\frac{x}{(1+7x)^{2}}
expand (1+x+(x^2)/2+(x^3)/3)^3 1/6	expand\:(1+x+\frac{x^{2}}{2}+\frac{x^{3}}{3})^{3}\frac{1}{6}
expand (4x+2h^2)/((x+3)(x-3)(h+x+3)(h+x-3))	expand\:\frac{4x+2h^{2}}{(x+3)(x-3)(h+x+3)(h+x-3)}
expand 15((2x)/3+1/5)^2	expand\:15(\frac{2x}{3}+\frac{1}{5})^{2}
simplify e^{(-a-iw)*2}	simplify\:e^{(-a-iw)\cdot\:2}
expand ((1+2x)^2)/(((2-x)(3-3x)^2))	expand\:\frac{(1+2x)^{2}}{((2-x)(3-3x)^{2})}
expand (ln(y-2)+(x-3)/(y-2)=C)y-2	expand\:(\ln(y-2)+\frac{x-3}{y-2}=C)y-2
(d^2)/(dx^2)((y)(4x^3-7x^2+3x-9))	\frac{d^{2}}{dx^{2}}((y)(4x^{3}-7x^{2}+3x-9))
expand (6,-8,3)y(-4,-1,-3)	expand\:(6,-8,3)y(-4,-1,-3)
simplify (sqrt(x+2)+sqrt(3x-6))^2	simplify\:(\sqrt{x+2}+\sqrt{3x-6})^{2}

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