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4y^{''}-40y^'+96y=5sin(2x)	4y^{\prime\:\prime\:}-40y^{\prime\:}+96y=5\sin(2x)
integral from 1 to e^2 of x^3ln(x)	\int\:_{1}^{e^{2}}x^{3}\ln(x)dx
join x+(1/x)	join\:x+(\frac{1}{x})
derivative of f(x)=\|x^2-4\|	derivative\:f(x)=\left\|x^{2}-4\right\|
derivative of 1/(2-cos(pix))	\frac{d}{dx}(\frac{1}{2-\cos(π)x})
limit as x approaches-6+of 1/((x+6)^4)	\lim\:_{x\to\:-6+}(\frac{1}{(x+6)^{4}})
-2y^2dy=y^3vdv	-2y^{2}dy=y^{3}vdv
limit as x approaches 4 of (5x+7)^4	\lim\:_{x\to\:4}((5x+7)^{4})
integral of (4x^3+2x^2+8)/((x^2+4)^2)	\int\:\frac{4x^{3}+2x^{2}+8}{(x^{2}+4)^{2}}dx
derivative of ((ln(x)^2)/(e^x))	\frac{d}{dx}(\frac{(\ln(x))^{2}}{e^{x}})
f(x)=8sin(2x)	f(x)=8\sin(2x)
integral of 1/(b-a)	\int\:\frac{1}{b-a}dx
integral of 1+3x	\int\:1+3xdx
x((dy)/(dx))=yln(xy)	x(\frac{dy}{dx})=y\ln(xy)
derivative of (x^3/3+(x^2)/2-500x)	\frac{d}{dx}(\frac{x^{3}}{3}+\frac{x^{2}}{2}-500x)
d/(dt)(b(t)ln(t)+ct^2)	\frac{d}{dt}(b(t)\ln(t)+ct^{2})
integral of (x^2+6)/(xsqrt(x^2-9))	\int\:\frac{x^{2}+6}{x\sqrt{x^{2}-9}}dx
derivative of (e^x*cos(x)/(e^x-1))	\frac{d}{dx}(\frac{e^{x}\cdot\:\cos(x)}{e^{x}-1})
(\partial)/(\partial y)((2x-3y)^3)	\frac{\partial\:}{\partial\:y}((2x-3y)^{3})
limit as x approaches+(-8) of 2	\lim\:_{x\to\:+(-8)}(2)
area x^2+x-2,0	area\:x^{2}+x-2,0
integral of (x^3)/(sqrt(2x^4+1))	\int\:\frac{x^{3}}{\sqrt{2x^{4}+1}}dx
integral of (2x-5)	\int\:(2x-5)dx
derivative of ln(x^3+1)	derivative\:\ln(x^{3}+1)
integral of 0.5x^2	\int\:0.5x^{2}dx
limit as x approaches infinity of-1^x	\lim\:_{x\to\:\infty\:}(-1^{x})
derivative of arccos(e^x)	\frac{d}{dx}(\arccos(e^{x}))
limit as x approaches-1 of-x^2	\lim\:_{x\to\:-1}(-x^{2})
derivative of ln(2t)	derivative\:\ln(2t)
integral of 1/(x^2sqrt(x^2+36))	\int\:\frac{1}{x^{2}\sqrt{x^{2}+36}}dx
limit as x approaches 2 of x^3+x^2-5x+1	\lim\:_{x\to\:2}(x^{3}+x^{2}-5x+1)
integral of (x+1)/(sqrt(x^5))	\int\:\frac{x+1}{\sqrt{x^{5}}}dx
x^2y^{''}+2xy^'-20y=0	x^{2}y^{\prime\:\prime\:}+2xy^{\prime\:}-20y=0
integral of 3/(e^x+2)	\int\:\frac{3}{e^{x}+2}dx
derivative of 3^{5x}	\frac{d}{dx}(3^{5x})
derivative of 9sec(x-pi/2)	\frac{d}{dx}(9\sec(x-\frac{π}{2}))
derivative of x^{10}	derivative\:x^{10}
limit as x approaches 0 of 2/x-2/(e^x-1)	\lim\:_{x\to\:0}(\frac{2}{x}-\frac{2}{e^{x}-1})
integral of (x-16)/(x^2+2x-8)	\int\:\frac{x-16}{x^{2}+2x-8}dx
limit as x approaches 6-of 4/(x-6)	\lim\:_{x\to\:6-}(\frac{4}{x-6})
derivative of e^{x^2}+2	\frac{d}{dx}(e^{x^{2}}+2)
integral from-9 to-8 of 1/x	\int\:_{-9}^{-8}\frac{1}{x}dx
integral of 9sin(4x)cos(2x)	\int\:9\sin(4x)\cos(2x)dx
x^{'''}+x=0	x^{\prime\:\prime\:\prime\:}+x=0
y^'=-sin(pix)	y^{\prime\:}=-\sin(πx)
derivative of ln(-3x+2)	\frac{d}{dx}(\ln(-3x+2))
integral from 0 to-0.4 of 150x	\int\:_{0}^{-0.4}150xdx
integral of xsin(x/8)	\int\:x\sin(\frac{x}{8})dx
integral of (-1)/(e^{3x)}	\int\:\frac{-1}{e^{3x}}dx
parity ln(cos^x(x))	parity\:\ln(\cos^{x}(x))
integral of ((2x+3))/(x^3+x^2-2x)	\int\:\frac{(2x+3)}{x^{3}+x^{2}-2x}dx
derivative of 2cos(x+sin^2(x))	\frac{d}{dx}(2\cos(x)+\sin^{2}(x))
(\partial)/(\partial x)(\|xy\|^{1/2})	\frac{\partial\:}{\partial\:x}(\left\|xy\right\|^{\frac{1}{2}})
normal of y= 1/x ,(2, 1/2)	normal\:y=\frac{1}{x},(2,\frac{1}{2})
inverse oflaplace 7/(s^2+49)	inverselaplace\:\frac{7}{s^{2}+49}
derivative of arcsec(3x)	\frac{d}{dx}(\arcsec(3x))
integral of 5x^2-4/x+a	\int\:5x^{2}-\frac{4}{x}+adx
integral of (1-sqrt(x))^2	\int\:(1-\sqrt{x})^{2}dx
integral of (5z^2-3)^3z	\int\:(5z^{2}-3)^{3}zdz
(\partial)/(\partial x)(e^{7y}sin(-7x))	\frac{\partial\:}{\partial\:x}(e^{7y}\sin(-7x))
derivative of 1/(arctan(x))	\frac{d}{dx}(\frac{1}{\arctan(x)})
derivative of (ln(x)/2+2)	\frac{d}{dx}(\frac{\ln(x)}{2}+2)
integral of (2x-40)ln(x-20)	\int\:(2x-40)\ln(x-20)dx
integral of 1/((cos(x)-sin(x))^2)	\int\:\frac{1}{(\cos(x)-\sin(x))^{2}}dx
integral of 3^x+1/x-x^{sqrt(3)}	\int\:3^{x}+\frac{1}{x}-x^{\sqrt{3}}dx
derivative of (8x/(x^2+3))	\frac{d}{dx}(\frac{8x}{x^{2}+3})
derivative of [f(x^2)]=x^5	\frac{d}{dx}[f(x^{2})]=x^{5}
(\partial)/(\partial x)(x^2+2xy+3y^4)	\frac{\partial\:}{\partial\:x}(x^{2}+2xy+3y^{4})
integral of 1/(xsqrt(x+1))	\int\:\frac{1}{x\sqrt{x+1}}dx
derivative of y=ln(4/(x^3))	derivative\:y=\ln(\frac{4}{x^{3}})
(\partial)/(\partial x)(xcos(1/(x^2+y^2)))	\frac{\partial\:}{\partial\:x}(x\cos(\frac{1}{x^{2}+y^{2}}))
(\partial)/(\partial x)(e^{(x-y)})	\frac{\partial\:}{\partial\:x}(e^{(x-y)})
integral of (54)/(1-cos(6x))	\int\:\frac{54}{1-\cos(6x)}dx
derivative of 3x^2-2sqrt(x)	\frac{d}{dx}(3x^{2}-2\sqrt{x})
(\partial)/(\partial x)(x+ycos(y))	\frac{\partial\:}{\partial\:x}(x+y\cos(y))
integral from 0 to pi of 2x^2sin(1/2 x)	\int\:_{0}^{π}2x^{2}\sin(\frac{1}{2}x)dx
derivative of (4x^2+2x+2)/(sqrt(x))	derivative\:\frac{4x^{2}+2x+2}{\sqrt{x}}
derivative of x^2-7x+2	\frac{d}{dx}(x^{2}-7x+2)
derivative of ((sqrt(x+1)-1)/(sqrt(x)))	\frac{d}{dx}(\frac{(\sqrt{x+1}-1)}{\sqrt{x}})
derivative of 3e^x+5x^2	\frac{d}{dx}(3e^{x}+5x^{2})
3*(dy)/(dx)+5y=1	3\cdot\:\frac{dy}{dx}+5y=1
derivative of-cos(2x)-2sin(2x)(1-x)	derivative\:-\cos(2x)-2\sin(2x)(1-x)
derivative of cos(sqrt(sin(tan(7x))))	derivative\:\cos(\sqrt{\sin(\tan(7x))})
area 1,8,[-0.5x+6],sqrt(x)+2	area\:1,8,[-0.5x+6],\sqrt{x}+2
derivative of (3(1-sin(x))/(2cos(x)))	\frac{d}{dx}(\frac{3(1-\sin(x))}{2\cos(x)})
derivative of (7x^2+6x^7)	\frac{d}{dx}((7x^{2}+6x)^{7})
integral from 2 to 3 of e^x	\int\:_{2}^{3}e^{x}dx
d/(dy)(x+y)	\frac{d}{dy}(x+y)
integral of sin(t)cos(t-x)	\int\:\sin(t)\cos(t-x)dx
integral of xsqrt(10-x^2)	\int\:x\sqrt{10-x^{2}}dx
derivative of 1/6 xe^{3x}	\frac{d}{dx}(\frac{1}{6}xe^{3x})
(\partial)/(\partial x)(1/((1/x+1/y)))	\frac{\partial\:}{\partial\:x}(\frac{1}{(\frac{1}{x}+\frac{1}{y})})
integral of (6x^3)/(sqrt(16+x^2))	\int\:\frac{6x^{3}}{\sqrt{16+x^{2}}}dx
y^'=2y+x^2+9	y^{\prime\:}=2y+x^{2}+9
derivative of (x+1^{x^2})	\frac{d}{dx}((x+1)^{x^{2}})
tangent of f(x)=x^2+ax+2,\at x=1	tangent\:f(x)=x^{2}+ax+2,\at\:x=1
integral of-6ln(x^2-1)	\int\:-6\ln(x^{2}-1)dx
integral of (xcos(4x))	\int\:(x\cos(4x))dx
derivative of (2x+2x^2/((1+2x)^2))	\frac{d}{dx}(\frac{2x+2x^{2}}{(1+2x)^{2}})
integral of (1+y^2)/(1+x^2)	\int\:\frac{1+y^{2}}{1+x^{2}}dx

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