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derivative of y=(sqrt(x))/x	derivative\:y=\frac{\sqrt{x}}{x}
t^2y^{''}+17ty^'+64y=0	t^{2}y^{\prime\:\prime\:}+17ty^{\prime\:}+64y=0
limit as x approaches 0 of x(0)	\lim\:_{x\to\:0}(x(0))
(\partial)/(\partial y)(sin(-2x)cos(6y))	\frac{\partial\:}{\partial\:y}(\sin(-2x)\cos(6y))
derivative of tan(e^pi)	\frac{d}{dx}(\tan(e^{π}))
derivative of 1/(2sqrt(x+6))	\frac{d}{dx}(\frac{1}{2\sqrt{x+6}})
integral of 1/(4x^2)	\int\:\frac{1}{4x^{2}}dx
integral of (-8x^2)/(sqrt(4x-x^2))	\int\:\frac{-8x^{2}}{\sqrt{4x-x^{2}}}dx
derivative of 3cos(xsin(x))	\frac{d}{dx}(3\cos(x)\sin(x))
integral of ((x-2))/x	\int\:\frac{(x-2)}{x}dx
tangent of f(x)=4x^3-4x,(-1,0)	tangent\:f(x)=4x^{3}-4x,(-1,0)
tangent of f(x)=2e^{2x^2+3x},\at x=0	tangent\:f(x)=2e^{2x^{2}+3x},\at\:x=0
integral of 1/((x+2)(x-2))	\int\:\frac{1}{(x+2)(x-2)}dx
(\partial)/(\partial x)(sin(5pix+4y))	\frac{\partial\:}{\partial\:x}(\sin(5πx+4y))
derivative of (1/(e^x)^{100})	\frac{d}{dx}((\frac{1}{e^{x}})^{100})
integral of (e^x)/((e^x+1)ln(e^x+1))	\int\:\frac{e^{x}}{(e^{x}+1)\ln(e^{x}+1)}dx
tangent of y=ln(x^2),\at x=3	tangent\:y=\ln(x^{2}),\at\:x=3
integral of sinh^2(x)	\int\:\sinh^{2}(x)dx
integral from 0 to 4 of sqrt(x)(x+2)	\int\:_{0}^{4}\sqrt{x}(x+2)dx
x^{''}+5x^'=7	x^{\prime\:\prime\:}+5x^{\prime\:}=7
integral of 4/(t+1)	\int\:\frac{4}{t+1}dt
derivative of x^6e^{8x}	\frac{d}{dx}(x^{6}e^{8x})
integral of (x+2)/(x^2-2x+10)	\int\:\frac{x+2}{x^{2}-2x+10}dx
derivative of (4/5 x)^4	derivative\:(\frac{4}{5}x)^{4}
(\partial)/(\partial x)(sqrt(x-w))	\frac{\partial\:}{\partial\:x}(\sqrt{x-w})
xy^'+4y=(2e^{-4x})/(x^3)	xy^{\prime\:}+4y=\frac{2e^{-4x}}{x^{3}}
tangent of y=-3x^2+10x+2,\at x=1	tangent\:y=-3x^{2}+10x+2,\at\:x=1
(tdu)/(dt)=t^2+3u,t>0,\H(6)=180	\frac{tdu}{dt}=t^{2}+3u,t>0,\H(6)=180
derivative of 5-2x^2	derivative\:5-2x^{2}
(dy)/(dx)=0.05x-450	\frac{dy}{dx}=0.05x-450
inverse oflaplace (0.6)/(s+10)	inverselaplace\:\frac{0.6}{s+10}
integral of (e^{sqrt(x)}-3)/(sqrt(x))	\int\:\frac{e^{\sqrt{x}}-3}{\sqrt{x}}dx
limit as x approaches 1 of 2x^2-3x+4	\lim\:_{x\to\:1}(2x^{2}-3x+4)
derivative of x^{1/11}	\frac{d}{dx}(x^{\frac{1}{11}})
tangent of y=-3cos(x),\at x= 3/4 pi	tangent\:y=-3\cos(x),\at\:x=\frac{3}{4}π
derivative of f(x)=(e^{-2x})/x	derivative\:f(x)=\frac{e^{-2x}}{x}
derivative of (2(x^2+3)/(3sqrt(x)))	\frac{d}{dx}(\frac{2(x^{2}+3)}{3\sqrt{x}})
derivative of (2x^{3/2}/x)	\frac{d}{dx}(\frac{2x^{\frac{3}{2}}}{x})
integral of (sin(2x))/((1+cos(2x))^3)	\int\:\frac{\sin(2x)}{(1+\cos(2x))^{3}}dx
derivative of f(x)=(x^5)/5+1/(12x^3)	derivative\:f(x)=\frac{x^{5}}{5}+\frac{1}{12x^{3}}
tangent of y=sin(2x)+sin(2)(2x)	tangent\:y=\sin(2x)+\sin(2)(2x)
limit as x approaches-pi/2 of 2tan(x)	\lim\:_{x\to\:-\frac{π}{2}}(2\tan(x))
derivative of (e^{x+1}/(x^2+1))	\frac{d}{dx}(\frac{e^{x+1}}{x^{2}+1})
d/(dt)(-2sin(t))	\frac{d}{dt}(-2\sin(t))
slope of (10.8)(1.3)	slope\:(10.8)(1.3)
(\partial)/(\partial x)(y^2e^x)	\frac{\partial\:}{\partial\:x}(y^{2}e^{x})
integral of sin(xpi)	\int\:\sin(xπ)dx
integral of (sqrt(x)log_{10}(2x))	\int\:(\sqrt{x}\log_{10}(2x))dx
slope of (0,-2),(6,0)	slope\:(0,-2),(6,0)
derivative of (3+xy/(sqrt(x)))	\frac{d}{dx}(\frac{3+xy}{\sqrt{x}})
derivative of 2\sqrt[3]{x^2}	\frac{d}{dx}(2\sqrt[3]{x^{2}})
integral of \sqrt[3]{x^7}	\int\:\sqrt[3]{x^{7}}dx
integral of (e^x)/1	\int\:\frac{e^{x}}{1}dx
limit as x approaches 2 of 3x^2-5x+7	\lim\:_{x\to\:2}(3x^{2}-5x+7)
integral of 3/(x^4+2x^3+x^2)	\int\:\frac{3}{x^{4}+2x^{3}+x^{2}}dx
integral of 34cos(x)cos^3(sin(x))	\int\:34\cos(x)\cos^{3}(\sin(x))dx
f(x)=(pix)/4	f(x)=\frac{πx}{4}
limit as x approaches-infinity of 2^{3x}	\lim\:_{x\to\:-\infty\:}(2^{3x})
(dv)/(dt)=-2sqrt(v),v(0)=4	\frac{dv}{dt}=-2\sqrt{v},v(0)=4
(\partial)/(\partial x)(3x^2-4xy)	\frac{\partial\:}{\partial\:x}(3x^{2}-4xy)
tangent of f(x)=(x^2+2)^2,(0,4)	tangent\:f(x)=(x^{2}+2)^{2},(0,4)
limit as x approaches 2 of (x^2-4)/(x+4)	\lim\:_{x\to\:2}(\frac{x^{2}-4}{x+4})
integral of 125	\int\:125
tangent of f(x)=x^3-12x+2	tangent\:f(x)=x^{3}-12x+2
integral from-1 to 2 of (5x^2+1/3 x-1/2)	\int\:_{-1}^{2}(5x^{2}+\frac{1}{3}x-\frac{1}{2})dx
integral from-infinity to infinity of 2x	\int\:_{-\infty\:}^{\infty\:}2xdx
integral of x/((x-3)^2+4^2)	\int\:\frac{x}{(x-3)^{2}+4^{2}}dx
integral from 0.1 to 0.2 of (300x)	\int\:_{0.1}^{0.2}(300x)dx
d/(ds)(2/(s^3))	\frac{d}{ds}(\frac{2}{s^{3}})
integral of (sin(x^2))/x	\int\:\frac{\sin(x^{2})}{x}dx
derivative of (ln(x))/(x^9)	derivative\:\frac{\ln(x)}{x^{9}}
derivative of 4e^{6x}+2x	derivative\:4e^{6x}+2x
tangent of f(x)=sqrt(32-x),\at x=7	tangent\:f(x)=\sqrt{32-x},\at\:x=7
derivative of 4sqrt(x^3)	derivative\:4\sqrt{x^{3}}
d/(dt)(3/t)	\frac{d}{dt}(\frac{3}{t})
derivative of 2arctan(sqrt(sin(x)))	\frac{d}{dx}(2\arctan(\sqrt{\sin(x)}))
tangent of x^2+y^2=25,(3,-4)	tangent\:x^{2}+y^{2}=25,(3,-4)
(\partial)/(\partial x)(3xsin(y))	\frac{\partial\:}{\partial\:x}(3x\sin(y))
(\partial)/(\partial y)(7x^{y/z})	\frac{\partial\:}{\partial\:y}(7x^{\frac{y}{z}})
y^'+(2y)/x = 2/x	y^{\prime\:}+\frac{2y}{x}=\frac{2}{x}
integral of u/(u+1)	\int\:\frac{u}{u+1}du
limit as x approaches 2 of sin(1/x-1/2)	\lim\:_{x\to\:2}(\sin(\frac{1}{x}-\frac{1}{2}))
integral of xsqrt(4x+1)	\int\:x\sqrt{4x+1}dx
f(x)=sqrt(5)x+sqrt(7x)	f(x)=\sqrt{5}x+\sqrt{7x}
(x^2+1)y^'+3x(y-1)=0,y(0)=4	(x^{2}+1)y^{\prime\:}+3x(y-1)=0,y(0)=4
integral of (x^3+1)/(x^3+x^2)	\int\:\frac{x^{3}+1}{x^{3}+x^{2}}dx
derivative of y=e^{-x}arctan(5e^x)	derivative\:y=e^{-x}\arctan(5e^{x})
derivative of x^2ln(x^2+1)	derivative\:x^{2}\ln(x^{2}+1)
implicit (dy)/(dx),y^3=x^8	implicit\:\frac{dy}{dx},y^{3}=x^{8}
integral of ((sqrt(x)+6)^4)/(2sqrt(x))	\int\:\frac{(\sqrt{x}+6)^{4}}{2\sqrt{x}}dx
derivative of sin(-1(4x+1))	derivative\:\sin(-1(4x+1))
integral from 0 to pi/2 of sin^2(t)	\int\:_{0}^{\frac{π}{2}}\sin^{2}(t)dt
derivative of x^9ln(8x)	\frac{d}{dx}(x^{9}\ln(8x))
derivative of ln((4x^4sin(-7x)/(3x-3)))	\frac{d}{dx}(\ln(\frac{4x^{4}\sin(-7x)}{3x-3}))
derivative of 2/(x^3+c)	\frac{d}{dx}(\frac{2}{x^{3}}+c)
integral from 3 to 6 of 1/((4-x)^2)	\int\:_{3}^{6}\frac{1}{(4-x)^{2}}dx
inverse oflaplace (s^2+3)/(2s^2+5)	inverselaplace\:\frac{s^{2}+3}{2s^{2}+5}
derivative of (3/4 ^{(-4)/3})	\frac{d}{dx}((\frac{3}{4})^{\frac{-4}{3}})
(\partial)/(\partial x)(x/(x^2+y^2+1))	\frac{\partial\:}{\partial\:x}(\frac{x}{x^{2}+y^{2}+1})
derivative of 2\sqrt[5]{(x^3+1^2})	\frac{d}{dx}(2\sqrt[5]{(x^{3}+1)^{2}})

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