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Popular Algebra Problems

expand (x^6(x-6)^6)/((x^2+8)^6)	expand\:\frac{x^{6}(x-6)^{6}}{(x^{2}+8)^{6}}
expand (160x^6+50000x^3)/(3(2x+5)^5)	expand\:\frac{160x^{6}+50000x^{3}}{3(2x+5)^{5}}
expand (-7\sqrt[3]{x}-9\sqrt[4]{x}+2x^4)dx	expand\:(-7\sqrt[3]{x}-9\sqrt[4]{x}+2x^{4})dx
expand ((k+2)(2k+3)(2k+5))/3	expand\:\frac{(k+2)(2k+3)(2k+5)}{3}
expand ((n+1)(n+2))/((n+2)!)	expand\:\frac{(n+1)(n+2)}{(n+2)!}
expand (-10(x+3)^{3/2}+2(x+3)^{5/2})/5	expand\:\frac{-10(x+3)^{\frac{3}{2}}+2(x+3)^{\frac{5}{2}}}{5}
expand 1/2 (-2x+2)+2	expand\:\frac{1}{2}(-2x+2)+2
expand (500k)/((s^2+25s+100k)(s^2+1))	expand\:\frac{500k}{(s^{2}+25s+100k)(s^{2}+1)}
expand sqrt(7)(sqrt(5)+11)	expand\:\sqrt{7}(\sqrt{5}+11)
expand-(4x)/(5(x^2+y))	expand\:-\frac{4x}{5(x^{2}+y)}
expand sin(x)(cos(x)+cos(x)sin(x))	expand\:\sin(x)(\cos(x)+\cos(x)\sin(x))
expand (180(5-x^2))/((x^2+15)^3)	expand\:\frac{180(5-x^{2})}{(x^{2}+15)^{3}}
expand (240cos(wx)-29cos(3wx))^2	expand\:(240\cos(wx)-29\cos(3wx))^{2}
expand (9x^3-54x^2+12x+5)/((x-2)^3)	expand\:\frac{9x^{3}-54x^{2}+12x+5}{(x-2)^{3}}
simplify 5sqrt(x)(sqrt(x)-7sqrt(2))	simplify\:5\sqrt{x}(\sqrt{x}-7\sqrt{2})
expand (((s+1)e^{(-0.5s)}))/((s(s+2)*(s+3)))	expand\:\frac{((s+1)\cdot\:e^{(-0.5s)})}{(s\cdot\:(s+2)\cdot\:(s+3))}
expand cos^2(x)-sin^2(x)(sin(x)-cos(x))	expand\:\cos^{2}(x)-\sin^{2}(x)(\sin(x)-\cos(x))
expand x^{2/9}*(x-4)	expand\:x^{\frac{2}{9}}\cdot\:(x-4)
expand (3s^2+6s+84)/((s+1)(s-2)(s^2+2s+10))	expand\:\frac{3s^{2}+6s+84}{(s+1)(s-2)(s^{2}+2s+10)}
simplify (x+1)(sqrt(x-3))+2(x+1)	simplify\:(x+1)(\sqrt{x-3})+2(x+1)
expand-2xsin(x^2)(1-sin(x^2))	expand\:-2x\sin(x^{2})(1-\sin(x^{2}))
expand (-(m-3)^2-5)/(4(m-3)+3)	expand\:\frac{-(m-3)^{2}-5}{4(m-3)+3}
expand (-40)left(45/80 , 45/49 ,-45/4)	expand\:(-40)left(\frac{45}{80},\frac{45}{49},-\frac{45}{4})
expand 5/3+1/2 x	expand\:\frac{5}{3}+\frac{1}{2}x
expand (3(2x^5-xy^2+2))/(x^3)	expand\:\frac{3(2x^{5}-xy^{2}+2)}{x^{3}}
expand (6cos(2x)+3sin(3x)+c)^2	expand\:(6\cos(2x)+3\sin(3x)+c)^{2}
expand (x+x^2+y^2)dx+(y)dy	expand\:(x+x^{2}+y^{2})dx+(y)dy
expand (\partial)/(\partial x)(x^4)+(x+2y+2)^4	expand\:\frac{\partial\:}{\partial\:x}(x^{4})+(x+2y+2)^{4}
expand (xy)/3 (3,2,-1)	expand\:\frac{xy}{3}(3,2,-1)
simplify (-sqrt(2)+31/8)2	simplify\:(-\sqrt{2}+\frac{31}{8})2
simplify (9sqrt(x)-4)(3sqrt(x)-4)	simplify\:(9\sqrt{x}-4)(3\sqrt{x}-4)
expand (sqrt(ax+36)-6-2x)^2	expand\:(\sqrt{ax+36}-6-2x)^{2}
simplify \sqrt[3]{14}+(\sqrt[3]{14}(x-14))/(42)	simplify\:\sqrt[3]{14}+\frac{\sqrt[3]{14}(x-14)}{42}
expand 1/(1+0.5x^{-1)}	expand\:\frac{1}{1+0.5x^{-1}}
expand ((e^{-2t})(cos(t)-cos(2t)))/t	expand\:\frac{(e^{-2t})(\cos(t)-\cos(2t))}{t}
expand dx(9x^2+7)	expand\:dx(9x^{2}+7)
expand-(2x+h)/((x^2-4)((x+h)^2-4))	expand\:-\frac{2x+h}{(x^{2}-4)((x+h)^{2}-4)}
expand-5(x+Δx)^4	expand\:-5(x+Δx)^{4}
expand (-5,1-sqrt(65))(-5,8)y(-5,-6)	expand\:(-5,1-\sqrt{65})(-5,8)y(-5,-6)
expand A(-1/2 ,3)yB(4,-2/3)	expand\:A(-\frac{1}{2},3)yB(4,-\frac{2}{3})
simplify (x-7/2)(x+7/3)	simplify\:(x-\frac{7}{2})(x+\frac{7}{3})
simplify (16-y)(y/2+15)	simplify\:(16-y)(\frac{y}{2}+15)
expand (a_{1}e+a_{2}e)^3	expand\:(a_{1}e+a_{2}e)^{3}
expand (y^2-9)(y^2-9)'	expand\:(y^{2}-9)(y^{2}-9)\prime\:
expand (s+4)(s+1/2)(s+6/5)(s+5/2)	expand\:(s+4)(s+\frac{1}{2})(s+\frac{6}{5})(s+\frac{5}{2})
expand (e^{2x}-5e^x+6=1)e^x	expand\:(e^{2x}-5e^{x}+6=1)e^{x}
expand ((x^2+1)(x^2-x+1))/(x(x^2+2))	expand\:\frac{(x^{2}+1)(x^{2}-x+1)}{x(x^{2}+2)}
expand (s^3(5t^2-6t+3\H(t)-3e^{-2t}))/(3(s+2))	expand\:\frac{s^{3}(5t^{2}-6t+3\H(t)-3e^{-2t})}{3(s+2)}
expand 2(pi-2)	expand\:2(π-2)
simplify 7(tan^2(θ)-1+cot^4(θ))	simplify\:7(\tan^{2}(θ)-1+\cot^{4}(θ))
expand (s^3+2s^2+5s+8)/((s^2+4)(s^2+9))	expand\:\frac{s^{3}+2s^{2}+5s+8}{(s^{2}+4)(s^{2}+9)}
(\partial)/(\partial x)((z)(zx^2+y^2+xyz))	\frac{\partial\:}{\partial\:x}((z)(zx^{2}+y^{2}+xyz))
expand (2(x+Δx))/((x+Δx)-1)	expand\:\frac{2(x+Δx)}{(x+Δx)-1}
expand (5(x-1))/2	expand\:\frac{5(x-1)}{2}
simplify 2(13(42/13)^{2/3}+2*42^{2/3}\sqrt[3]{13})	simplify\:2(13(\frac{42}{13})^{\frac{2}{3}}+2\cdot\:42^{\frac{2}{3}}\sqrt[3]{13})
expand (-3+1)(x+3)^{2^'}(-3-1)'	expand\:(-3+1)(x+3)^{2^{\prime\:}}(-3-1)\prime\:
expand 1/((3e^{-x)cos(x)-2e^{-x}sin(x))^2}	expand\:\frac{1}{(3e^{-x}\cos(x)-2e^{-x}\sin(x))^{2}}
expand 1/(s(s+3)(s+1))	expand\:\frac{1}{s(s+3)(s+1)}
expand 4(16-3pi)cm^2	expand\:4(16-3π)cm^{2}
expand (x+2)(x-2)[x-2/(x^2-4)+1/(x+2)= 1/(x-2)]	expand\:(x+2)(x-2)[x-\frac{2}{x^{2}-4}+\frac{1}{x+2}=\frac{1}{x-2}]
expand (x-9)sqrt(x)	expand\:(x-9)\sqrt{x}
expand ((2x+1)^3(2x-3)^3)/(x^6)	expand\:\frac{(2x+1)^{3}(2x-3)^{3}}{x^{6}}
expand (-1,3)y(3,-8)punto(9,6)	expand\:(-1,3)y(3,-8)punto(9,6)
expand (2yy'(x)=20x^3-2x) 1/2	expand\:(2yy\prime\:(x)=20x^{3}-2x)\frac{1}{2}
expand (x+2y=1,3)(x-2y=-7)	expand\:(x+2y=1,3)(x-2y=-7)
expand-(e^{-4s})/(s(s^2+2s-2))	expand\:-\frac{e^{-4s}}{s(s^{2}+2s-2)}
expand (2X^2)/((0.04-X)*(0.083-X))	expand\:\frac{2X^{2}}{(0.04-X)\cdot\:(0.083-X)}
expand (y+xy)dx+(2y-x)dy	expand\:(y+xy)dx+(2y-x)dy
expand ((ab+cd+ef+gh)+1)^2	expand\:((ab+cd+ef+gh)+1)^{2}
simplify (3-2)y(0.4)	simplify\:(3-2)y(0.4)
expand (x^2+a)e^x	expand\:(x^{2}+a)e^{x}
expand (5+xe^{-2x})/((x)(x+1))	expand\:\frac{5+xe^{-2x}}{(x)(x+1)}
simplify (sqrt(6)+sqrt(x))(sqrt(6)-sqrt(x))	simplify\:(\sqrt{6}+\sqrt{x})(\sqrt{6}-\sqrt{x})
expand (-e^2-2(-e-1))/(e^{e+3)}	expand\:\frac{-e^{2}-2(-e-1)}{e^{e+3}}
expand e^{e^x+x}(e^x+1)	expand\:e^{e^{x}+x}(e^{x}+1)
expand ((2n+1)x^{2n})/((2n+1)!)	expand\:\frac{(2n+1)x^{2n}}{(2n+1)!}
expand (e^x)/((e^x-e^2)^2)	expand\:\frac{e^{x}}{(e^{x}-e^{2})^{2}}
simplify 1/((1-iw)^2)	simplify\:\frac{1}{(1-iw)^{2}}
simplify e^{pisqrt(2)(1+i)}	simplify\:e^{π\sqrt{2}(1+i)}
expand (248(16+56\sqrt[4]{-1}))/(15)	expand\:\frac{248(16+56\sqrt[4]{-1})}{15}
expand solve(x^2+4x-5)	expand\:solve(x^{2}+4x-5)
expand (-250x^3+600x^2-480x+129)/((4-5x)^3)	expand\:\frac{-250x^{3}+600x^{2}-480x+129}{(4-5x)^{3}}
expand (y^4-2xy)dx+3x^2dy	expand\:(y^{4}-2xy)dx+3x^{2}dy
expand (cosh(x)+sinh(x))^3	expand\:(\cosh(x)+\sinh(x))^{3}
expand (u-5)(sqrt(u+4)+3)	expand\:(u-5)(\sqrt{u+4}+3)
expand (100)/((x^2+4)(s^2+3s+5))	expand\:\frac{100}{(x^{2}+4)(s^{2}+3s+5)}
expand (Q(a-b))/(4pi(c-a)(b-c)EF)	expand\:\frac{Q(a-b)}{4π(c-a)(b-c)EF}
expand (x^2+3xy)/(y(x+y))	expand\:\frac{x^{2}+3xy}{y(x+y)}
expand z/((z-j^2)(z+j^2))	expand\:\frac{z}{(z-j^{2})(z+j^{2})}
simplify (x+1+sqrt(3))(x-1+sqrt(3))	simplify\:(x+1+\sqrt{3})(x-1+\sqrt{3})
expand (e^{x/2})(x+1)	expand\:(e^{\frac{x}{2}})(x+1)
expand xlog_{10}(4)	expand\:x\log_{10}(4)
simplify (x+1/12)(x-9)	simplify\:(x+\frac{1}{12})(x-9)
expand (-x^2+a^2)/((x^2+a^2)^2)	expand\:\frac{-x^{2}+a^{2}}{(x^{2}+a^{2})^{2}}
simplify (1/2+1/2 cos(6x))^4	simplify\:(\frac{1}{2}+\frac{1}{2}\cos(6x))^{4}
expand sin((11pi)/(60)+(7pi)/(30))	expand\:\sin(\frac{11π}{60}+\frac{7π}{30})
expand A(2,1)B(-3,2)yC(-5,-2)	expand\:A(2,1)B(-3,2)yC(-5,-2)
expand sgn(x^2-16)sqrt(8-2x-x^2)	expand\:sgn(x^{2}-16)\sqrt{8-2x-x^{2}}
simplify (sqrt(2)y+1)(sqrt(2)y-1)	simplify\:(\sqrt{2}y+1)(\sqrt{2}y-1)
simplify 1400(3sqrt(3)+7)	simplify\:1400(3\sqrt{3}+7)

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