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expand ((2s+10))/((s+1)^2(s+4)s^2)	expand\:\frac{(2s+10)}{(s+1)^{2}\cdot\:(s+4)\cdot\:s^{2}}
expand ([4x^3])/((x-5)^2)	expand\:\frac{[4x^{3}]}{(x-5)^{2}}
expand log_{7}(sqrt(k))	expand\:\log_{7}(\sqrt{k})
expand ((12+3x)x)/(20)	expand\:\frac{(12+3x)x}{20}
expand ((25x^2+2x)^5)/((3sqrt(x)+8x^3)^3)	expand\:\frac{(25x^{2}+2x)^{5}}{(3\sqrt{x}+8x^{3})^{3}}
simplify f(x/2-3)-4	simplify\:f(\frac{x}{2}-3)-4
expand (1/2-b)^2	expand\:(\frac{1}{2}-b)^{2}
expand (-3x+2)/(3(3x-1))	expand\:\frac{-3x+2}{3(3x-1)}
expand (10sin(θ)-3)^2	expand\:(10\sin(θ)-3)^{2}
expand ((2(t^2+1)^2),-t(t^2+1))*(1,2t)	expand\:((2(t^{2}+1)^{2}),-t(t^{2}+1))\cdot\:(1,2t)
expand (-x^2-3x-10)/((x+2)(x+4)(x-2))	expand\:\frac{-x^{2}-3x-10}{(x+2)(x+4)(x-2)}
expand e^x(x^2+2x)	expand\:e^{x}(x^{2}+2x)
expand-2(x+1)(u'(x)+\H(x))	expand\:-2(x+1)(u\prime\:(x)+\H(x))
expand (derivative of (x+2(x-1)))/(x^3-1)	expand\:\frac{\frac{d}{dx}((x+2)(x-1))}{x^{3}-1}
expand ((x+1)(x-3)3)/((x+4)(x-1))	expand\:\frac{(x+1)(x-3)3}{(x+4)(x-1)}
expand ((x^2+2)dx)/(x^3-7x^2+10x)	expand\:\frac{(x^{2}+2)dx}{x^{3}-7x^{2}+10x}
expand (x(10-x^2))/2	expand\:\frac{x(10-x^{2})}{2}
expand (xA+B+4A)/((x-1)(x-3))	expand\:\frac{xA+B+4A}{(x-1)(x-3)}
expand 1/(2(x+2))	expand\:\frac{1}{2(x+2)}
simplify-3(-2cos(x)+3cos^3(x))	simplify\:-3(-2\cos(x)+3\cos^{3}(x))
expand (x+5)/(x(x+11))	expand\:\frac{x+5}{x(x+11)}
simplify (x^2+sqrt(3))(x^2-sqrt(3))	simplify\:(x^{2}+\sqrt{3})(x^{2}-\sqrt{3})
simplify (tan^4(x)+tan^3(x)-tan(x)-1)(cos^2(x))	simplify\:(\tan^{4}(x)+\tan^{3}(x)-\tan(x)-1)(\cos^{2}(x))
expand (-4e^{-4x}+3x^5)^2	expand\:(-4e^{-4x}+3x^{5})^{2}
simplify (n+1-sqrt(2))(n+1+sqrt(2))	simplify\:(n+1-\sqrt{2})(n+1+\sqrt{2})
expand sqrt(7)(9+sqrt(3))	expand\:\sqrt{7}(9+\sqrt{3})
expand 20/6 (8+h)^2	expand\:\frac{20}{6}(8+h)^{2}
expand (asin(b)+lsin(θ))^2	expand\:(a\sin(b)+l\sin(θ))^{2}
expand (-sin(2x)+3sin(x))^2(-2sin(2x)-3sin(x))	expand\:(-\sin(2x)+3\sin(x))^{2}(-2\sin(2x)-3\sin(x))
expand 20(6/5-6/5 e^{-20t})	expand\:20(\frac{6}{5}-\frac{6}{5}e^{-20t})
expand (1/4 x^2-1/(x^2))^2	expand\:(\frac{1}{4}x^{2}-\frac{1}{x^{2}})^{2}
expand A/(S+1)*(S+1)(S-1)(S+2)(S^2+1)	expand\:\frac{A}{S+1}\cdot\:(S+1)(S-1)(S+2)(S^{2}+1)
expand (7-\sqrt[5]{x/(96889010407)})^{20}	expand\:(7-\sqrt[5]{\frac{x}{96889010407}})^{20}
simplify (10-y)(y/3+8)	simplify\:(10-y)(\frac{y}{3}+8)
expand 7x^{7/5}(x^{11/5}-2x)	expand\:7x^{\frac{7}{5}}(x^{\frac{11}{5}}-2x)
simplify (\sqrt[3]{a}+9)(\sqrt[3]{a}+4)	simplify\:(\sqrt[3]{a}+9)(\sqrt[3]{a}+4)
expand 1/((1-3/4 e^{-x))(1-1/2 e^{-x})}	expand\:\frac{1}{(1-\frac{3}{4}e^{-x})(1-\frac{1}{2}e^{-x})}
expand-3cos(2(x-pi/3))	expand\:-3\cos(2(x-\frac{π}{3}))
expand (1-x)sqrt(x)dx	expand\:(1-x)\sqrt{x}dx
expand 1/(w(w+i)^2)	expand\:\frac{1}{w(w+i)^{2}}
expand (derivative of (9t-6^3))/((27-3t)^2)	expand\:\frac{\frac{d}{dx}((9t-6)^{3})}{(27-3t)^{2}}
expand ((x+h)^2+1)(xln(x)+e^x)	expand\:((x+h)^{2}+1)(x\ln(x)+e^{x})
simplify 2t(x)x^{''}+(t(x)-4)x^'-x	simplify\:2t(x)x^{\prime\:\prime\:}+(t(x)-4)x^{\prime\:}-x
expand (3x-e^{3x})/(3x(e^{3x)-1)}	expand\:\frac{3x-e^{3x}}{3x(e^{3x}-1)}
expand (w(x,y(x,z),z)+x^'+y(x,z)z)(x+z)	expand\:(w(x,y(x,z),z)+x^{\prime\:}+y(x,z)z)(x+z)
expand-sqrt(2)(2-sqrt(3))	expand\:-\sqrt{2}(2-\sqrt{3})
expand (x^2+1)/(x(x-1))	expand\:\frac{x^{2}+1}{x(x-1)}
expand ((x-4)(x-2))/(x-8)	expand\:\frac{(x-4)(x-2)}{x-8}
expand sin^2(A)(2-sin^2(A))	expand\:\sin^{2}(A)(2-\sin^{2}(A))
expand (y(x-yln(y)))/(x(xln(x)-y))	expand\:\frac{y(x-y\ln(y))}{x(x\ln(x)-y)}
simplify 9(sqrt(2)-5)	simplify\:9(\sqrt{2}-5)
expand (1+e^{2x})^3	expand\:(1+e^{2x})^{3}
expand y^2(1-y)^2+(4y(1-y)^3)/3	expand\:y^{2}(1-y)^{2}+\frac{4y(1-y)^{3}}{3}
expand 1/(x^2(x+4))	expand\:\frac{1}{x^{2}(x+4)}
simplify e^{(1+i)z}	simplify\:e^{(1+i)z}
expand ((x^2-14x-3))/((x^2+1)*(x-3))	expand\:\frac{(x^{2}-14x-3)}{(x^{2}+1)\cdot\:(x-3)}
simplify (x-ysqrt(3))^2	simplify\:(x-y\sqrt{3})^{2}
expand 8192(10ln(2)+7)	expand\:8192(10\ln(2)+7)
expand log_{10}(x)(x+3)	expand\:\log_{10}(x)(x+3)
expand (3,-6)y(-2,-2)	expand\:(3,-6)y(-2,-2)
expand log_{5}(375)-log_{5}(3)	expand\:\log_{5}(375)-\log_{5}(3)
expand log_{10}(\sqrt[3]{m/n})	expand\:\log_{10}(\sqrt[3]{\frac{m}{n}})
expand (9(2k+1))/(2k+3)	expand\:\frac{9(2k+1)}{2k+3}
expand (13000(65-3x^2))/((65+x^3))	expand\:\frac{13000(65-3x^{2})}{(65+x^{3})}
expand (sin(x)+cos(x))*(sin(y)+cos(y))	expand\:(\sin(x)+\cos(x))\cdot\:(\sin(y)+\cos(y))
expand-1/4 (t+3ln\|t\|)+C	expand\:-\frac{1}{4}(t+3\ln\left\|t\right\|)+C
expand (x+1+x^2)/(x^2(x^2+2x+5))	expand\:\frac{x+1+x^{2}}{x^{2}(x^{2}+2x+5)}
simplify (x-1+sqrt(7))(x-1-sqrt(7))	simplify\:(x-1+\sqrt{7})(x-1-\sqrt{7})
simplify (z+3/5)(z-3/5)	simplify\:(z+\frac{3}{5})(z-\frac{3}{5})
expand (\sqrt[3]{a}+2\sqrt[3]{b})^3	expand\:(\sqrt[3]{a}+2\sqrt[3]{b})^{3}
simplify 2sqrt(x)(sqrt(x)+1)	simplify\:2\sqrt{x}(\sqrt{x}+1)
expand ((s+3))/((s^2+6s+34)^2)	expand\:\frac{(s+3)}{(s^{2}+6s+34)^{2}}
expand (x-3i)(x+3i)(x-2)	expand\:(x-3i)(x+3i)(x-2)
expand sqrt(4-2(x+Δx))-sqrt(4-2x)	expand\:\sqrt{4-2(x+Δx)}-\sqrt{4-2x}
expand (p/2-q)(q+p/2)	expand\:(\frac{p}{2}-q)(q+\frac{p}{2})
expand (x(3-5x))/((3x-1)(x-1)^2)	expand\:\frac{x(3-5x)}{(3x-1)(x-1)^{2}}
simplify (sqrt(x)-1/(2x))^{12}	simplify\:(\sqrt{x}-\frac{1}{2x})^{12}
expand (x+3)e^2	expand\:(x+3)e^{2}
expand ln(\sqrt[4]{x(x+4)^3})	expand\:\ln(\sqrt[4]{x(x+4)^{3}})
expand (5+x)x^4e^{6x}+3	expand\:(5+x)x^{4}e^{6x}+3
expand (xy+y^2)dx	expand\:(xy+y^{2})dx
expand (sqrt(ax)-a)/((x+1)(x-a))	expand\:\frac{\sqrt{ax}-a}{(x+1)(x-a)}
expand 10\sqrt[3]{t}(8-t)	expand\:10\sqrt[3]{t}(8-t)
expand (x^3+(a+1)*x^2+x)/(x+a)	expand\:\frac{x^{3}+(a+1)\cdot\:x^{2}+x}{x+a}
expand (4x^2+2x+8)/(x(x^2+2)^2)	expand\:\frac{4x^{2}+2x+8}{x(x^{2}+2)^{2}}
expand y(x^2+y^2-1)dx+x(x^2+y^2+1)	expand\:y(x^{2}+y^{2}-1)dx+x(x^{2}+y^{2}+1)
simplify (e^{iθ}-e^{-iθ})^2	simplify\:(e^{iθ}-e^{-iθ})^{2}
simplify (x+4sqrt(6))(x-4sqrt(6))	simplify\:(x+4\sqrt{6})(x-4\sqrt{6})
simplify 4(3x^{2/3}\sqrt[3]{x}-2(x+1))	simplify\:4(3x^{\frac{2}{3}}\sqrt[3]{x}-2(x+1))
expand p^1(1/2-((p^1-p^2))/(2t))	expand\:p^{1}(\frac{1}{2}-\frac{(p^{1}-p^{2})}{2t})
expand x(2sin(x)+xcos(x))	expand\:x(2\sin(x)+x\cos(x))
expand x^{1/3}(2x-2)	expand\:x^{\frac{1}{3}}(2x-2)
simplify 1/2 (3+4sin(2x)-cos(4x))	simplify\:\frac{1}{2}(3+4\sin(2x)-\cos(4x))
expand ln(x+1)(x+1)	expand\:\ln(x+1)(x+1)
expand (x^2-(1/x)^4)^2	expand\:(x^{2}-(\frac{1}{x})^{4})^{2}
expand (sqrt(3)-1)^5	expand\:(\sqrt{3}-1)^{5}
expand sin(α)(1+tan(α))+cos(α)(1+cot(α))	expand\:\sin(α)(1+\tan(α))+\cos(α)(1+\cot(α))
expand log_{3}(324)-log_{3}(4)	expand\:\log_{3}(324)-\log_{3}(4)
expand ((z-1)^3)/(2(z+2)^2)	expand\:\frac{(z-1)^{3}}{2(z+2)^{2}}
(d^2}{d{y}d{x}}(({z}(y,x))({x}^2+3{x)/y+{y}^2))	\frac{d^{2}}{d{y}d{x}}(({z}(y,x))({x}^{2}+3{x}{y}+{y}^{2}))

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