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expand (2/3 (x^3)/y-3/4 w^{1/2})^6	expand\:(\frac{2}{3}\frac{x^{3}}{y}-\frac{3}{4}w^{\frac{1}{2}})^{6}
simplify (sqrt(a)(8+sqrt(a)))/(64-a)	simplify\:\frac{\sqrt{a}(8+\sqrt{a})}{64-a}
expand (x-(5x-1)/3 =4x-3/5)15	expand\:(x-\frac{5x-1}{3}=4x-\frac{3}{5})15
simplify-sqrt(3)(x-1/8)	simplify\:-\sqrt{3}(x-\frac{1}{8})
expand-(16(2x^2+1))/(x+2)	expand\:-\frac{16(2x^{2}+1)}{x+2}
expand (x^2+4)^3ln(3x)	expand\:(x^{2}+4)^{3}\ln(3x)
expand-3(sqrt(2)-4)+9(sqrt(2))'	expand\:-3(\sqrt{2}-4)+9(\sqrt{2})\prime\:
simplify 2*(2+sqrt(2/11))	simplify\:2\cdot\:(2+\sqrt{\frac{2}{11}})
((5x))/((s^2+4)(12x+7))	\frac{(5x)}{(s^{2}+4)(12x+7)}
expand (10x+1)/(3x^2)	expand\:\frac{10x+1}{3x^{2}}
expand (3(3x^2-2)^2(6x^2+18x+4))/((2x+3)^4)	expand\:\frac{3(3x^{2}-2)^{2}(6x^{2}+18x+4)}{(2x+3)^{4}}
simplify 1+(K(s+1)(s+5.65))/(s^3)	simplify\:1+\frac{K(s+1)(s+5.65)}{s^{3}}
simplify (sqrt(3)-i)^{11}	simplify\:(\sqrt{3}-i)^{11}
expand ((2x-1)y)/((2x-3)(x-1))	expand\:\frac{(2x-1)y}{(2x-3)(x-1)}
simplify (5sqrt(x)-sqrt(y))(4sqrt(x)+3sqrt(y))	simplify\:(5\sqrt{x}-\sqrt{y})(4\sqrt{x}+3\sqrt{y})
expand (x+1)(sqrt(1-3x)+2)	expand\:(x+1)(\sqrt{1-3x}+2)
expand 4(8e+7)	expand\:4(8e+7)
expand (1+x/2)^9	expand\:(1+\frac{x}{2})^{9}
expand cos(4)(t+pi)	expand\:\cos(4)(t+π)
expand (9(x^2+49))/((16-x^2)^3)	expand\:\frac{9(x^{2}+49)}{(16-x^{2})^{3}}
expand (2x^5+4x^3-3x^2+3x-1)/((x^3+1)^3)	expand\:\frac{2x^{5}+4x^{3}-3x^{2}+3x-1}{(x^{3}+1)^{3}}
expand 1/((x^2-x+1)(x^2-x+2))	expand\:\frac{1}{(x^{2}-x+1)(x^{2}-x+2)}
expand 1/((s+10)(s+2)^2)	expand\:\frac{1}{(s+10)(s+2)^{2}}
expand 4(8e+28)	expand\:4(8e+28)
expand 1/((x-3)(x+3))	expand\:\frac{1}{(x-3)(x+3)}
simplify (3+Mi)^2	simplify\:(3+Mi)^{2}
expand A(0,4)yB(-4,-2)	expand\:A(0,4)yB(-4,-2)
expand ,5(2w+2)-14	expand\:,5(2w+2)-14
simplify (sqrt(x)-1)(x+sqrt(x)-1)	simplify\:(\sqrt{x}-1)(x+\sqrt{x}-1)
expand sqrt(t)(1+t)	expand\:\sqrt{t}(1+t)
expand (7+4/(1+i)-2i)(7+4/(1+i)-2i)	expand\:(7+\frac{4}{1+i}-2i)(7+\frac{4}{1+i}-2i)
simplify (sqrt(x+3)+4)^2	simplify\:(\sqrt{x+3}+4)^{2}
expand cot(x)*(tan(x)+sec(x))	expand\:\cot(x)\cdot\:(\tan(x)+\sec(x))
expand (2/3 (x-3))^2+4	expand\:(\frac{2}{3}(x-3))^{2}+4
simplify (5x-3)(4+3/(x^2))	simplify\:(5x-3)(4+\frac{3}{x^{2}})
expand (-0.5+0.5i)^5	expand\:(-0.5+0.5i)^{5}
expand (m(m+1))/2+(m+1)	expand\:\frac{m(m+1)}{2}+(m+1)
expand 4/((x+1)^3)	expand\:\frac{4}{(x+1)^{3}}
expand 1001\times 34	expand\:1001\times\:34
simplify f(x)(-5cos(x)+12sin(x))	simplify\:f(x)(-5\cos(x)+12\sin(x))
simplify x(x-2)(x-2-i)(x+3+i)	simplify\:x(x-2)(x-2-i)(x+3+i)
expand 1/(s(s+2)(s+10))	expand\:\frac{1}{s(s+2)(s+10)}
expand log_{10}(a)((x^2+1)4sqrt(x))	expand\:\log_{10}(a)((x^{2}+1)4\sqrt{x})
simplify K*(1+1/T)	simplify\:K\cdot\:(1+\frac{1}{T})
d/(dt)((s)(7t^3-3t^7))	\frac{d}{dt}((s)(7t^{3}-3t^{7}))
simplify (1-sqrt(3)i)^{11}	simplify\:(1-\sqrt{3}i)^{11}
simplify 6(2+sqrt(3))	simplify\:6(2+\sqrt{3})
simplify (4x+1/4)(4x-1/4)	simplify\:(4x+\frac{1}{4})(4x-\frac{1}{4})
expand 2(2e^{x^2}x^2+e^{x^2})	expand\:2(2e^{x^{2}}x^{2}+e^{x^{2}})
simplify (x-p+sqrt(m))(x-p-sqrt(m))	simplify\:(x-p+\sqrt{m})(x-p-\sqrt{m})
expand (5(x+y)ln(x))(dx)/(dy)	expand\:(5(x+y)\ln(x))\frac{dx}{dy}
expand (100x^2)/((x^2-25)^2)	expand\:\frac{100x^{2}}{(x^{2}-25)^{2}}
simplify (sqrt(x)-sqrt(x+3))^2	simplify\:(\sqrt{x}-\sqrt{x+3})^{2}
expand (x^2(x+2))/(3x^2-1)	expand\:\frac{x^{2}(x+2)}{3x^{2}-1}
d/(dθ)((x(θ))(r(θ)*θ-r(θ)sin(θ)))	\frac{d}{dθ}((x(θ))(r(θ)\cdot\:θ-r(θ)\sin(θ)))
expand (-e^{-s}s-e^{-s}+1)/(s^2(1-e^{-s))}	expand\:\frac{-e^{-s}s-e^{-s}+1}{s^{2}(1-e^{-s})}
expand (x^2)/(2(x-7)^2)	expand\:\frac{x^{2}}{2(x-7)^{2}}
expand (0-0.5)(0-1)(0-1.5)(0-2)	expand\:(0-0.5)(0-1)(0-1.5)(0-2)
expand log_{3}(9)+3	expand\:\log_{3}(9)+3
d/(dt)((x)(-5x^2(x-2)))	\frac{d}{dt}((x)(-5x^{2}(x-2)))
expand (3x+11)/((x+3)(3x+1))	expand\:\frac{3x+11}{(x+3)(3x+1)}
simplify (x-3sqrt(x))^2	simplify\:(x-3\sqrt{x})^{2}
expand (tsin(t^2))(sin(t^2)+2t^2cos(t^2))	expand\:(t\sin(t^{2}))(\sin(t^{2})+2t^{2}\cos(t^{2}))
expand x(x^2+y^2)sqrt(x^2+y^2)	expand\:x(x^{2}+y^{2})\sqrt{x^{2}+y^{2}}
expand 50ln(-5)+50-(25(12ln(-5)+11))/6	expand\:50\ln(-5)+50-\frac{25(12\ln(-5)+11)}{6}
simplify (40-sqrt(x))^2	simplify\:(40-\sqrt{x})^{2}
simplify ((sqrt(x^2-4))/x-k)^2	simplify\:(\frac{\sqrt{x^{2}-4}}{x}-k)^{2}
simplify 5(2-sqrt(5))	simplify\:5(2-\sqrt{5})
expand (f(x)=-3x+3/5)(x)	expand\:(f(x)=-3x+\frac{3}{5})(x)
expand 1/(x^2(x^2+y^2))	expand\:\frac{1}{x^{2}(x^{2}+y^{2})}
((x^2+x))/((x-4)(x^2+9))	\frac{(x^{2}+x)}{(x-4)(x^{2}+9)}
simplify 2(2sqrt(5)+7)	simplify\:2(2\sqrt{5}+7)
expand 1/((s-1)(s-2)(s+6))	expand\:\frac{1}{(s-1)(s-2)(s+6)}
expand-sqrt(2)*(sqrt(2+\sqrt{2)}-2)	expand\:-\sqrt{2}\cdot\:(\sqrt{2+\sqrt{2}}-2)
expand (a+ib)^2+a+ib	expand\:(a+ib)^{2}+a+ib
expand (2sin(x)-2)(2cos(x)+1)	expand\:(2\sin(x)-2)(2\cos(x)+1)
expand (-5)/7 (x+8)	expand\:\frac{-5}{7}(x+8)
expand (-1+sqrt(65))/8	expand\:\frac{-1+\sqrt{65}}{8}
expand 75*93	expand\:75\cdot\:93
expand e^y*(y^2-x^2)	expand\:e^{y}\cdot\:(y^{2}-x^{2})
expand (2x+12x^3)(5x^3+3+ln(x))	expand\:(2x+12x^{3})(5x^{3}+3+\ln(x))
expand (pi+pie^{-s})/((s^2+pi^2)(s^2+9))	expand\:\frac{π+πe^{-s}}{(s^{2}+π^{2})(s^{2}+9)}
expand (3sin(20pit)+sin(30pit))sin(100pit)	expand\:(3\cdot\:\sin(20πt)+\sin(30πt))\cdot\:\sin(100πt)
simplify (sqrt(2)-sqrt(7))2	simplify\:(\sqrt{2}-\sqrt{7})2
expand 5/((x+3)^2)	expand\:\frac{5}{(x+3)^{2}}
expand (4xy)/((x+2)^2)	expand\:\frac{4xy}{(x+2)^{2}}
((-1)^n(7n+5))/((5n^2-4n+3))	\frac{(-1)^{n}(7n+5)}{(5n^{2}-4n+3)}
expand csolve(0=x^4-32x^2-144,x)	expand\:csolve(0=x^{4}-32x^{2}-144,x)
expand (5t-t^2,t-(1-t)^2,1-t-(5t)^2)*(5,1,-1)	expand\:(5t-t^{2},t-(1-t)^{2},1-t-(5t)^{2})\cdot\:(5,1,-1)
expand pi(2-sqrt(3))	expand\:π(2-\sqrt{3})
expand ((((2y+3)/2))/(2))^2	expand\:(\frac{(\frac{2y+3}{2})}{2})^{2}
simplify (x-1+sqrt(3))*(x-1-sqrt(3))	simplify\:(x-1+\sqrt{3})\cdot\:(x-1-\sqrt{3})
simplify (5+2i)^4	simplify\:(5+2i)^{4}
expand 5sqrt(1+x/4)	expand\:5\sqrt{1+\frac{x}{4}}
simplify (5+2i)^6	simplify\:(5+2i)^{6}
expand 1/(s^2(s^2+6))	expand\:\frac{1}{s^{2}(s^{2}+6)}
(\partial)/(\partial x)(({f}(x,y))(3x+4y))	\frac{\partial\:}{\partial\:x}(({f}(x,y))(3x+4y))
expand (4(3x^3-1))/((1+x^2)^3)	expand\:\frac{4(3x^{3}-1)}{(1+x^{2})^{3}}
expand (s^2+3)/(s(s+2)^2(s+1))	expand\:\frac{s^{2}+3}{s(s+2)^{2}(s+1)}
simplify (sqrt(13)+x)(sqrt(13)-x)	simplify\:(\sqrt{13}+x)(\sqrt{13}-x)

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