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expand (b+8)(b-8)	expand\:(b+8)(b-8)
expand x(a+1)-3(a+1)	expand\:x(a+1)-3(a+1)
simplify-2(x-5)	simplify\:-2(x-5)
simplify (5/3-2/3 i)^2	simplify\:(\frac{5}{3}-\frac{2}{3}i)^{2}
simplify a+(a-b)+(-a+b)	simplify\:a+(a-b)+(-a+b)
expand 2(5x+4)+3(2x-1)	expand\:2(5x+4)+3(2x-1)
simplify (-2x-2)/(x^2+2x-8)-(x-1)/(2-x)	simplify\:\frac{-2x-2}{x^{2}+2x-8}-\frac{x-1}{2-x}
simplify 2x^2\times x	simplify\:2x^{2}\times\:x
simplify x+5x	simplify\:x+5x
expand 3(x-5)^2	expand\:3(x-5)^{2}
simplify 7/(5-u)-(2+u)/(5-u)	simplify\:\frac{7}{5-u}-\frac{2+u}{5-u}
simplify-3/2+6	simplify\:-\frac{3}{2}+6
3/100	\frac{3}{100}
simplify 7+(3x)/(x+8)	simplify\:7+\frac{3x}{x+8}
simplify (4-i)(6-6i)	simplify\:(4-i)(6-6i)
simplify sqrt(8^2+5^2)	simplify\:\sqrt{8^{2}+5^{2}}
simplify sqrt(n^6)	simplify\:\sqrt{n^{6}}
simplify (2+i)/(4-3i)+(3+i)/(5i)	simplify\:\frac{2+i}{4-3i}+\frac{3+i}{5i}
simplify n^1	simplify\:n^{1}
simplify sqrt(8)-sqrt(32)	simplify\:\sqrt{8}-\sqrt{32}
100/80	\frac{100}{80}
expand (x-4)(4x^2-8x+7)	expand\:(x-4)(4x^{2}-8x+7)
-1 3/4	-1\frac{3}{4}
simplify (-6)+(-2)	simplify\:(-6)+(-2)
simplify 26*4	simplify\:26\cdot\:4
simplify log_{10}(1000)-log_{10}(10)	simplify\:\log_{10}(1000)-\log_{10}(10)
factor 49x^8+76x^4y^4+100y^8	factor\:49x^{8}+76x^{4}y^{4}+100y^{8}
simplify 2(3x+1)	simplify\:2(3x+1)
simplify 20log_{10}(4)	simplify\:20\log_{10}(4)
expand (x+6)(2x+8)	expand\:(x+6)(2x+8)
simplify (2x)(3x)	simplify\:(2x)(3x)
simplify (\frac{x^2)/(x^2-x-42)}{(5x)/(x^2-36)}	simplify\:\frac{\frac{x^{2}}{x^{2}-x-42}}{\frac{5x}{x^{2}-36}}
expand (3x+3)(3x+8)	expand\:(3x+3)(3x+8)
simplify 8a+9a	simplify\:8a+9a
simplify (1-2i)(3+2i)(5+2i)	simplify\:(1-2i)(3+2i)(5+2i)
simplify (x^4-y^4)/(x^2-y^2)	simplify\:\frac{x^{4}-y^{4}}{x^{2}-y^{2}}
simplify ((2n)!)/((2n+1)!)	simplify\:\frac{(2n)!}{(2n+1)!}
expand (a+b)(2a+3b)(2x-y)	expand\:(a+b)(2a+3b)(2x-y)
simplify 3/(sqrt(14))	simplify\:\frac{3}{\sqrt{14}}
simplify 7(x+3)	simplify\:7(x+3)
simplify 10/22	simplify\:\frac{10}{22}
simplify (9x^8y^4)/(3x^7y^6)	simplify\:\frac{9x^{8}y^{4}}{3x^{7}y^{6}}
simplify 3/(2sqrt(2)*\sqrt{3)}	simplify\:\frac{3}{2\sqrt{2}\cdot\:\sqrt{3}}
simplify 3/(sqrt(40))	simplify\:\frac{3}{\sqrt{40}}
simplify (3^3)^4	simplify\:(3^{3})^{4}
simplify x/2-x	simplify\:\frac{x}{2}-x
simplify ((2d)^3)/(2d^5)	simplify\:\frac{(2d)^{3}}{2d^{5}}
simplify-7/(-1)	simplify\:-\frac{7}{-1}
simplify (3+2i)(1-4i)	simplify\:(3+2i)(1-4i)
simplify 2/7-1/3	simplify\:\frac{2}{7}-\frac{1}{3}
simplify (3sqrt(5))/(sqrt(3))	simplify\:\frac{3\sqrt{5}}{\sqrt{3}}
36/20	\frac{36}{20}
36/25	\frac{36}{25}
simplify (2x^3)/(-8x^4)	simplify\:\frac{2x^{3}}{-8x^{4}}
simplify 0*(-1)	simplify\:0\cdot\:(-1)
simplify 8/1000	simplify\:\frac{8}{1000}
expand-2(x+h)+1	expand\:-2(x+h)+1
simplify 1-x/y	simplify\:1-\frac{x}{y}
expand (2x-5y)(2x+5y)	expand\:(2x-5y)(2x+5y)
simplify sqrt(49)-sqrt(-147)+sqrt(1)+sqrt(-108)	simplify\:\sqrt{49}-\sqrt{-147}+\sqrt{1}+\sqrt{-108}
simplify 11x(-12xy^2)	simplify\:11x(-12xy^{2})
simplify (4c)^2	simplify\:(4c)^{2}
expand (b-a)^3	expand\:(b-a)^{3}
simplify (-11+4i)-(1-5i)	simplify\:(-11+4i)-(1-5i)
simplify (-2x+10)+(-8x-1)	simplify\:(-2x+10)+(-8x-1)
simplify ((x+2)^2-8x)/((x-2)^2)	simplify\:\frac{(x+2)^{2}-8x}{(x-2)^{2}}
expand (3x+2)(-3x^2-7x+3)	expand\:(3x+2)(-3x^{2}-7x+3)
simplify \sqrt[3]{(i^6+i^{-6})/(-2i)}	simplify\:\sqrt[3]{\frac{i^{6}+i^{-6}}{-2i}}
simplify (5sqrt(8))/(sqrt(40))+sqrt(45)	simplify\:\frac{5\sqrt{8}}{\sqrt{40}}+\sqrt{45}
4 4/5	4\frac{4}{5}
expand (2-x)^5	expand\:(2-x)^{5}
simplify-1\times (-3)	simplify\:-1\times\:(-3)
simplify (2i)(-2i)	simplify\:(2i)(-2i)
simplify (4x^5)^2	simplify\:(4x^{5})^{2}
simplify (x-1)/(2x^2+4x+2)*((x+1)^2)/(x-1)	simplify\:\frac{x-1}{2x^{2}+4x+2}\cdot\:\frac{(x+1)^{2}}{x-1}
expand (5x-9)^2	expand\:(5x-9)^{2}
simplify (10a^2b^3c)/(80(a^3-a^2b))	simplify\:\frac{10a^{2}b^{3}c}{80(a^{3}-a^{2}b)}
factor (n^2)/9+2mn+9m^2	factor\:\frac{n^{2}}{9}+2mn+9m^{2}
simplify x 1/3	simplify\:x\frac{1}{3}
simplify (6(2a-4c)-6(6a-4b)+3(4b-8c))/4	simplify\:\frac{6(2a-4c)-6(6a-4b)+3(4b-8c)}{4}
simplify (x^2+7x-78)/(x^2-36)	simplify\:\frac{x^{2}+7x-78}{x^{2}-36}
simplify (4-10i)/(-3-7i)	simplify\:\frac{4-10i}{-3-7i}
simplify (5/7)^0	simplify\:(\frac{5}{7})^{0}
simplify (ln(x))/(sqrt(x))	simplify\:\frac{\ln(x)}{\sqrt{x}}
simplify (2-x)/(x^2+4x-12)	simplify\:\frac{2-x}{x^{2}+4x-12}
41/3 \div 22/5	\frac{41}{3}\div\:\frac{22}{5}
simplify (x/(x+1))/(x/(x+1)+1)	simplify\:\frac{\frac{x}{x+1}}{\frac{x}{x+1}+1}
factor-24x-6x^5	factor\:-24x-6x^{5}
simplify 3/5-4/5	simplify\:\frac{3}{5}-\frac{4}{5}
simplify 1/(3+sqrt(7))	simplify\:\frac{1}{3+\sqrt{7}}
simplify 1/x+1/(2x)	simplify\:\frac{1}{x}+\frac{1}{2x}
simplify (3x-12)/(3x^2-12x)	simplify\:\frac{3x-12}{3x^{2}-12x}
simplify (x^2-10x+21)/(x^2-5x+6)	simplify\:\frac{x^{2}-10x+21}{x^{2}-5x+6}
simplify m^{-4}	simplify\:m^{-4}
simplify e^x(-e^{-x})	simplify\:e^{x}(-e^{-x})
simplify 2pi4	simplify\:2\cdot\:π\cdot\:4
simplify (sqrt(x^my^n))/(2x^3y)	simplify\:\frac{\sqrt{x^{m}y^{n}}}{2x^{3}y}
simplify 3sqrt(-25)	simplify\:3\sqrt{-25}
simplify sqrt(1/3)+sqrt(75)+\sqrt[4]{144}-\sqrt[6]{27}-4/(sqrt(3))	simplify\:\sqrt{\frac{1}{3}}+\sqrt{75}+\sqrt[4]{144}-\sqrt[6]{27}-\frac{4}{\sqrt{3}}
simplify-1/2+6	simplify\:-\frac{1}{2}+6

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