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expand (x-5/4)(x-5/4)	expand\:(x-\frac{5}{4})(x-\frac{5}{4})
expand (d^2)/(d^2x)(x^3+y^3=1)	expand\:\frac{d^{2}}{d^{2}x}(x^{3}+y^{3}=1)
expand (0,-5)(x-1)	expand\:(0,-5)(x-1)
expand (s^2+s-10+e^{-s})/((s-1)(s-2)(s+4))	expand\:\frac{s^{2}+s-10+e^{-s}}{(s-1)(s-2)(s+4)}
simplify (3+\sqrt[3]{6})(3-\sqrt[3]{6})	simplify\:(3+\sqrt[3]{6})(3-\sqrt[3]{6})
expand 24e^{-20t}+20(6/5-6/5 e^{-20t})	expand\:24e^{-20t}+20(\frac{6}{5}-\frac{6}{5}e^{-20t})
(\partial)/(\partial u)((x)(u^4+vw))	\frac{\partial\:}{\partial\:u}((x)(u^{4}+vw))
expand (derivative of (2x+3(2x-3)))/x	expand\:\frac{\frac{d}{dx}((2x+3)(2x-3))}{x}
simplify 3(1+sin(a))(1-sin(a))	simplify\:3(1+\sin(a))(1-\sin(a))
expand (x^2-5x+4)dx	expand\:(x^{2}-5x+4)dx
expand (4(-n-2))/n	expand\:\frac{4(-n-2)}{n}
expand 3.275(1-e^{-(0.26)/((52,68*10^{-3))}})	expand\:3.275(1-e^{-\frac{0.26}{(52,68\cdot\:10^{-3})}})
expand (7/3 x^3+6)(7/3 x^3-6)	expand\:(\frac{7}{3}x^{3}+6)(\frac{7}{3}x^{3}-6)
expand (x-3)(x-(1+2i))(x-(1-2i))	expand\:(x-3)(x-(1+2i))(x-(1-2i))
expand 3/(2(x-2))	expand\:\frac{3}{2(x-2)}
expand (2y^2+1+2x)dx+2ydy	expand\:(2y^{2}+1+2x)dx+2ydy
simplify 19683((a^3-243ab)/(729)+c)	simplify\:19683(\frac{a^{3}-243ab}{729}+c)
expand 1/(x(x+4))	expand\:\frac{1}{x(x+4)}
expand sqrt(3)(sqrt(7)-1)	expand\:\sqrt{3}(\sqrt{7}-1)
expand ((5y+8)(25y+40))/(128y)	expand\:\frac{(5y+8)(25y+40)}{128y}
expand (2s+3)/(s(s+1)(2s^2+3s-5))	expand\:\frac{2s+3}{s(s+1)(2s^{2}+3s-5)}
simplify (2-4sqrt(x))^2	simplify\:(2-4\sqrt{x})^{2}
expand (20160e^{-0.84x})/((1+3e^{-0.84x))^2}	expand\:\frac{20160e^{-0.84x}}{(1+3e^{-0.84x})^{2}}
simplify (sin(x)-csc(x))2	simplify\:(\sin(x)-\csc(x))2
expand ((3y^2+x)^7)/(2187)	expand\:\frac{(3y^{2}+x)^{7}}{2187}
expand (110-12sqrt(x))x	expand\:(110-12\sqrt{x})x
expand (4,2,5,)(2x+y+2z+8=0)	expand\:(4,2,5,)(2x+y+2z+8=0)
expand ((3+v)dv)/((v+4)^2)	expand\:\frac{(3+v)dv}{(v+4)^{2}}
expand log_{2}(sqrt((5x^3)/(y^5z^3)))	expand\:\log_{2}(\sqrt{\frac{5x^{3}}{y^{5}z^{3}}})
expand (t-cos(t))(s-4)	expand\:(t-\cos(t))(s-4)
expand (csc(x)+1)*tan(x)-sec(x)	expand\:(\csc(x)+1)\cdot\:\tan(x)-\sec(x)
expand (1-7s)/((s-3)(s-1)(s+2))	expand\:\frac{1-7s}{(s-3)(s-1)(s+2)}
simplify 1/((-0.75e^{-ia)+1)(-0.5e^{-ia}+1)}	simplify\:\frac{1}{(-0.75e^{-ia}+1)(-0.5e^{-ia}+1)}
expand (-3,t+2cos(t)+1)(-3cos(t)-2,t)	expand\:(-3,t+2\cos(t)+1)(-3\cos(t)-2,t)
expand ((L+r_{1}r_{2}C)(r_{1}+r_{2}))/C	expand\:\frac{(L+r_{1}r_{2}C)(r_{1}+r_{2})}{C}
expand (k^7)^2	expand\:(k^{7})^{2}
expand r(sin(θ)+cos(θ))dθ	expand\:r(\sin(θ)+\cos(θ))dθ
expand csc(pi/2+α)-sec(pi-α)	expand\:\csc(\frac{π}{2}+α)-\sec(π-α)
expand gen(1,-2,3)	expand\:gen(1,-2,3)
d/(dy)((x)(e^{-3x}-(3y+1)x))	\frac{d}{dy}((x)(e^{-3x}-(3y+1)x))
expand (x-3/2)(x-3/2)	expand\:(x-\frac{3}{2})(x-\frac{3}{2})
expand sqrt(3)(sqrt(7)+6)	expand\:\sqrt{3}(\sqrt{7}+6)
simplify 3(sqrt(3)+sqrt(2))	simplify\:3(\sqrt{3}+\sqrt{2})
expand (2(X+1))/3	expand\:\frac{2(X+1)}{3}
expand (152(-3t^2+4))/((4+t^2)^3)	expand\:\frac{152(-3t^{2}+4)}{(4+t^{2})^{3}}
expand (x-2-sqrt(2))(x-2+sqrt(2))	expand\:(x-2-\sqrt{2})(x-2+\sqrt{2})
expand (1+x)*sqrt(x)	expand\:(1+x)\cdot\:\sqrt{x}
expand 3/((x^2+4)(x^2+9))	expand\:\frac{3}{(x^{2}+4)(x^{2}+9)}
expand sqrt(3)(sqrt(7)+8)	expand\:\sqrt{3}(\sqrt{7}+8)
expand (1-x)/(2-2x)((1-2x)/(2-2x))^2	expand\:\frac{1-x}{2-2x}(\frac{1-2x}{2-2x})^{2}
expand-5(-v+6w+(-1/2)w)	expand\:-5(-v+6w+(-\frac{1}{2})w)
expand 1/((2x-3)(2x+3))	expand\:\frac{1}{(2x-3)(2x+3)}
expand (30(-ke^{-kt}t-e^{-kt}))/k	expand\:\frac{30(-ke^{-kt}t-e^{-kt})}{k}
expand ((50+b)^2)/4	expand\:\frac{(50+b)^{2}}{4}
expand f'(2)(X^2-1)(2X+2)	expand\:f\prime\:(2)(X^{2}-1)(2X+2)
expand xdy+(y+xysin(x)+3sin(x))dx	expand\:xdy+(y+xy\sin(x)+3\sin(x))dx
expand (1-x^2)(d^2y)/(dx^2)-x(dy)/(dx)	expand\:(1-x^{2})\frac{d^{2}y}{dx^{2}}-x\frac{dy}{dx}
expand (4sin(x)-4cos(x))^2	expand\:(4\sin(x)-4\cos(x))^{2}
expand (e^y+1)^2	expand\:(e^{y}+1)^{2}
expand (sqrt(6(x+y)+5)-sqrt(6x+5))/y	expand\:\frac{\sqrt{6(x+y)+5}-\sqrt{6x+5}}{y}
simplify 3(x+1)(x-1/2)(x-1)	simplify\:3(x+1)(x-\frac{1}{2})(x-1)
expand (3sqrt(2)+1)(2-sqrt(3))	expand\:(3\sqrt{2}+1)(2-\sqrt{3})
expand e^x(x+1)^2	expand\:e^{x}(x+1)^{2}
expand (2e^{2x}-2e^{-2x})^2	expand\:(2e^{2x}-2e^{-2x})^{2}
expand ((x^2-1)^3)/(x^2+1)	expand\:\frac{(x^{2}-1)^{3}}{x^{2}+1}
expand (6+7x)x^5e^{7x}+4	expand\:(6+7x)x^{5}e^{7x}+4
expand ((21x^2-51xy))/((-3x))	expand\:\frac{(21x^{2}-51xy)}{(-3x)}
expand (2xsqrt(x)+4sqrt(x))(2sqrt(x))	expand\:(2x\sqrt{x}+4\sqrt{x})(2\sqrt{x})
simplify (x+3/2)(x-1)^2	simplify\:(x+\frac{3}{2})(x-1)^{2}
expand asin(pi/6 (k+2))+bcos(pi/6 (k+2))	expand\:a\sin(\frac{π}{6}(k+2))+b\cos(\frac{π}{6}(k+2))
expand (s^2+s+1)/(s(s^2+2s+4))	expand\:\frac{s^{2}+s+1}{s(s^{2}+2s+4)}
expand 8(-0.4e^{-0.4t}+0.6e^{-0.6t})	expand\:8(-0.4e^{-0.4t}+0.6e^{-0.6t})
expand ((x-4)x)/(2x+8)	expand\:\frac{(x-4)x}{2x+8}
expand dx(1+1/x)	expand\:dx(1+\frac{1}{x})
expand (x+2)/((x-1)(x^2+4))	expand\:\frac{x+2}{(x-1)(x^{2}+4)}
((x^3-x^2-2x)(2x^2+6x+7))/((x+2))	\frac{(x^{3}-x^{2}-2x)(2x^{2}+6x+7)}{(x+2)}
expand 3(x-63(x-6)=20-5)	expand\:3(x-63(x-6)=20-5)
simplify (arctan(2x))(1-x^2)	simplify\:(\arctan(2x))(1-x^{2})
simplify (4/(x-12)+6(100-x))(x-12)	simplify\:(\frac{4}{x-12}+6(100-x))(x-12)
expand (5(-104+43sqrt(3)))/(11574)	expand\:\frac{5(-104+43\sqrt{3})}{11574}
expand cos(x)*(1+sin(x))	expand\:\cos(x)\cdot\:(1+\sin(x))
expand A(1,0,-1)B(3,1,4)yC(2,-2,0)	expand\:A(1,0,-1)B(3,1,4)yC(2,-2,0)
expand (1-e^{-t})^2	expand\:(1-e^{-t})^{2}
expand (t^2-e^{5t}+13)*\H(t-θ)	expand\:(t^{2}-e^{5t}+13)\cdot\:\H(t-θ)
simplify (a+bi+1)^2	simplify\:(a+bi+1)^{2}
simplify (sqrt(x^2+3)-2)\times (sqrt(x^2+3)+2)	simplify\:(\sqrt{x^{2}+3}-2)\times\:(\sqrt{x^{2}+3}+2)
expand ((t-3)^2)/4	expand\:\frac{(t-3)^{2}}{4}
expand A(-1,8)eB(-5,-1)	expand\:A(-1,8)eB(-5,-1)
expand 1400(7-x)+2800sqrt(9+x^2)	expand\:1400(7-x)+2800\sqrt{9+x^{2}}
expand 6(x+3=5x+1)	expand\:6(x+3=5x+1)
d/(dt)((s)(5t^2-3sec(t)+2e^t))	\frac{d}{dt}((s)(5t^{2}-3\sec(t)+2e^{t}))
expand ((2x+5)^3)/2	expand\:\frac{(2x+5)^{3}}{2}
expand (3x^2y+3x)dx+(x^3+2)eydy	expand\:(3x^{2}y+3x)dx+(x^{3}+2)eydy
expand 1/3 (6/5 x-3)	expand\:\frac{1}{3}(\frac{6}{5}x-3)
simplify (sin(x)+tan(x))^2+cos^2(x)-sec^2(x)	simplify\:(\sin(x)+\tan(x))^{2}+\cos^{2}(x)-\sec^{2}(x)
expand (2x^2-3)((1/x)+5)	expand\:(2x^{2}-3)((\frac{1}{x})+5)
expand (3x+2)/(x(x^2+9))	expand\:\frac{3x+2}{x(x^{2}+9)}
expand (pi(-ln(4+sqrt(17))+132sqrt(17)))/(256)	expand\:\frac{π(-\ln(4+\sqrt{17})+132\sqrt{17})}{256}
simplify-((19+sqrt(265))k)/8+4k	simplify\:-\frac{(19+\sqrt{265})k}{8}+4k
expand ((x-4)^2)/4	expand\:\frac{(x-4)^{2}}{4}

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