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implicit (dy)/(dx),xy=45	implicit\:\frac{dy}{dx},xy=45
integral from 0 to 4 of sqrt(4-x)	\int\:_{0}^{4}\sqrt{4-x}dx
tangent of f(x)=e^x,\at x=1	tangent\:f(x)=e^{x},\at\:x=1
(dy)/(dx)y=3^x	\frac{dy}{dx}y=3^{x}
limit as x approaches 1/4 of 8x^3	\lim\:_{x\to\:\frac{1}{4}}(8x^{3})
integral of x(4x+7)^8	\int\:x(4x+7)^{8}dx
derivative of (x^2+2xln(2x))	\frac{d}{dx}((x^{2}+2x)\ln(2x))
(x-y)dx+(x-y+1)dy=0	(x-y)dx+(x-y+1)dy=0
limit as x approaches infinity+of x*+1/x	\lim\:_{x\to\:\infty\:+}(x\cdot\:+\frac{1}{x})
derivative of 1/4 (x^8+8)	derivative\:\frac{1}{4}(x^{8}+8)
(\partial)/(\partial y)(y+3xy^2-18)	\frac{\partial\:}{\partial\:y}(y+3xy^{2}-18)
derivative of f(s)=(sqrt(s))/4	derivative\:f(s)=\frac{\sqrt{s}}{4}
(\partial)/(\partial x)(x^2-2xy+3y^2)	\frac{\partial\:}{\partial\:x}(x^{2}-2xy+3y^{2})
integral of x/(x-11)	\int\:\frac{x}{x-11}dx
derivative of f(x)=(x^3-2x+5)/(x^3)	derivative\:f(x)=\frac{x^{3}-2x+5}{x^{3}}
derivative of 9x^2+4	\frac{d}{dx}(9x^{2}+4)
integral of \sqrt[3]{xsqrt(2/x)}	\int\:\sqrt[3]{x\sqrt{\frac{2}{x}}}dx
(\partial)/(\partial y)(40x+840-40y)	\frac{\partial\:}{\partial\:y}(40x+840-40y)
integral of 2x+e^x	\int\:2x+e^{x}dx
integral of (ln(x))	\int\:(\ln(x))dx
integral of (16)/(1-cos(8x))	\int\:\frac{16}{1-\cos(8x)}dx
laplacetransform e^{-t+1}	laplacetransform\:e^{-t+1}
derivative of 1/(5x^5)	\frac{d}{dx}(\frac{1}{5x^{5}})
derivative of (-1)/(x^2)	derivative\:\frac{-1}{x^{2}}
integral of 4/(1+sqrt(5x))	\int\:\frac{4}{1+\sqrt{5x}}dx
(dy)/(dx)=-(1+y)^4,y(1)=2	\frac{dy}{dx}=-(1+y)^{4},y(1)=2
taylor 1/2 (e^x+e^{-x})	taylor\:\frac{1}{2}(e^{x}+e^{-x})
integral of \sqrt[4]{8-3x}	\int\:\sqrt[4]{8-3x}dx
derivative of 12arctan(sqrt(s))	derivative\:12\arctan(\sqrt{s})
integral from 1 to 2 of 2/((x-5)^3)	\int\:_{1}^{2}\frac{2}{(x-5)^{3}}dx
integral of 4^x-1/(3x)	\int\:4^{x}-\frac{1}{3x}dx
8(ln(y))y^'-x^9y=0	8(\ln(y))y^{\prime\:}-x^{9}y=0
integral of (3x^5+2)/(-5x^5+5x)	\int\:\frac{3x^{5}+2}{-5x^{5}+5x}dx
derivative of 4e^{sqrt(x)}	\frac{d}{dx}(4e^{\sqrt{x}})
integral of 2e^3	\int\:2e^{3}dx
derivative of a*sinh(x/a)	\frac{d}{dx}(a\cdot\:\sinh(\frac{x}{a}))
integral of 1/(4x^2+16)	\int\:\frac{1}{4x^{2}+16}dx
d/(dt)(tcos(2t))	\frac{d}{dt}(t\cos(2t))
simplify 4sqrt(x)+1/x	simplify\:4\sqrt{x}+\frac{1}{x}
xsin(x^2)y^'+y(4x^2cos(x^2)-sin(x^2))=0	x\sin(x^{2})y^{\prime\:}+y(4x^{2}\cos(x^{2})-\sin(x^{2}))=0
integral of sqrt(x^2+25)	\int\:\sqrt{x^{2}+25}dx
integral of 3/(sqrt(9-x^2))	\int\:\frac{3}{\sqrt{9-x^{2}}}dx
derivative of (3x^6+8x^3^4)	\frac{d}{dx}((3x^{6}+8x^{3})^{4})
derivative of sqrt(2/(4x+3))	\frac{d}{dx}(\sqrt{\frac{2}{4x+3}})
derivative of 5sec(x)	derivative\:5\sec(x)
derivative of (2x/(x^2+y^2))	\frac{d}{dx}(\frac{2x}{x^{2}+y^{2}})
derivative of y=2x^3+3x^2-12x+2	derivative\:y=2x^{3}+3x^{2}-12x+2
integral of xsqrt(x-4)	\int\:x\sqrt{x-4}dx
derivative of f(x)=(sin(t))/t	derivative\:f(x)=\frac{\sin(t)}{t}
(dy)/(dx)=(x-2)(y-2)	\frac{dy}{dx}=(x-2)(y-2)
sum from n=2 to infinity of (-1)^n 1/n	\sum\:_{n=2}^{\infty\:}(-1)^{n}\frac{1}{n}
integral of 1/(5x+x^2)	\int\:\frac{1}{5x+x^{2}}dx
limit as x approaches+0 of xln(x)	\lim\:_{x\to\:+0}(x\ln(x))
tangent of f(x)=sqrt(x+5),(4,3)	tangent\:f(x)=\sqrt{x+5},(4,3)
derivative of sqrt(25-x^2-y^2)	\frac{d}{dx}(\sqrt{25-x^{2}-y^{2}})
tangent of f(x)=(x^2)/(x+8),(1, 1/9)	tangent\:f(x)=\frac{x^{2}}{x+8},(1,\frac{1}{9})
y^'=y^2+1	y^{\prime\:}=y^{2}+1
derivative of f(x)=xsqrt(4-x)	derivative\:f(x)=x\sqrt{4-x}
derivative of sqrt(2x+3y)	\frac{d}{dx}(\sqrt{2x+3y})
limit as x approaches 2pi of (sin(x))/x	\lim\:_{x\to\:2π}(\frac{\sin(x)}{x})
(\partial)/(\partial y)(xln(xy))	\frac{\partial\:}{\partial\:y}(x\ln(xy))
sum from n=1 to infinity of (cos(npi))/n	\sum\:_{n=1}^{\infty\:}\frac{\cos(nπ)}{n}
limit as t approaches 0 of (e^{-1t}-1)/t	\lim\:_{t\to\:0}(\frac{e^{-1t}-1}{t})
implicit (dy)/(dx),-x/y =0	implicit\:\frac{dy}{dx},-\frac{x}{y}=0
derivative of (1-2x^{-1})	\frac{d}{dx}((1-2x)^{-1})
integral of (sec(3x)+csc(3x))^2	\int\:(\sec(3x)+\csc(3x))^{2}dx
integral of (x^2-4)/(x^3-3x^2-x+3)	\int\:\frac{x^{2}-4}{x^{3}-3x^{2}-x+3}dx
integral of x/(\sqrt[3]{x^2+9)}	\int\:\frac{x}{\sqrt[3]{x^{2}+9}}dx
derivative of (4-t)(4+t^3)^{-1}	derivative\:(4-t)(4+t^{3})^{-1}
(\partial)/(\partial y)(4/3 pi(x^3-y^3))	\frac{\partial\:}{\partial\:y}(\frac{4}{3}π(x^{3}-y^{3}))
derivative of (8+csc(x)/(7-csc(x)))	\frac{d}{dx}(\frac{8+\csc(x)}{7-\csc(x)})
limit as x approaches infinity of 3/(5x)	\lim\:_{x\to\:\infty\:}(\frac{3}{5x})
integral of 9e^{3x}	\int\:9e^{3x}dx
integral of xe^{3x}+e^x	\int\:xe^{3x}+e^{x}dx
derivative of f(x)=e^{2x}(x^3+1)	derivative\:f(x)=e^{2x}(x^{3}+1)
(d^2)/(dx^2)((4x^2+9x)cos(x))	\frac{d^{2}}{dx^{2}}((4x^{2}+9x)\cos(x))
e^xy*(dy)/(dx)=e^{-y}+e^{-2x-y}	e^{x}y\cdot\:\frac{dy}{dx}=e^{-y}+e^{-2x-y}
integral of 1/((1+sqrt(x))^{3/2)}	\int\:\frac{1}{(1+\sqrt{x})^{\frac{3}{2}}}dx
(d^3y)/(dx^3)=4x^3+x	\frac{d^{3}y}{dx^{3}}=4x^{3}+x
(d^2)/(dx^2)(6/(7x^4))	\frac{d^{2}}{dx^{2}}(\frac{6}{7x^{4}})
integral of 2pix^3sqrt(1+9x^4)	\int\:2πx^{3}\sqrt{1+9x^{4}}dx
(\partial)/(\partial l)(9l^{2/3}k^{1/3})	\frac{\partial\:}{\partial\:l}(9l^{\frac{2}{3}}k^{\frac{1}{3}})
y^{''}+9y=24sin(3t)	y^{\prime\:\prime\:}+9y=24\sin(3t)
integral of (2^{x+1})/(10^x)	\int\:\frac{2^{x+1}}{10^{x}}dx
integral of (1+sin(x))/(cos^2(x))	\int\:\frac{1+\sin(x)}{\cos^{2}(x)}dx
derivative of \sqrt[3]{ln(4-x^2)}	derivative\:\sqrt[3]{\ln(4-x^{2})}
y^'=(ln(2))/7 y-20,y(0)=200	y^{\prime\:}=\frac{\ln(2)}{7}y-20,y(0)=200
derivative of w/(w+d/w)	derivative\:\frac{w}{w+\frac{d}{w}}
derivative of \sqrt[4]{y-2x}	\frac{d}{dx}(\sqrt[4]{y-2x})
derivative of f(x)=\sqrt[3]{36x^2+10}	derivative\:f(x)=\sqrt[3]{36x^{2}+10}
(\partial)/(\partial x)(-2x-8y+18)	\frac{\partial\:}{\partial\:x}(-2x-8y+18)
derivative of cos(arccos(x))	\frac{d}{dx}(\cos(\arccos(x)))
derivative of 1/2 (x-1/2 sin(2x))	\frac{d}{dx}(\frac{1}{2}(x-\frac{1}{2}\sin(2x)))
derivative of ((x+3)/(x-2))^3	derivative\:(\frac{x+3}{x-2})^{3}
(\partial)/(\partial y)(3x^2y-y^3)	\frac{\partial\:}{\partial\:y}(3x^{2}y-y^{3})
derivative of x^2arctan(ln(x))	\frac{d}{dx}(x^{2}\arctan(\ln(x)))
integral of (ln(4x))/(4x^2)	\int\:\frac{\ln(4x)}{4x^{2}}dx
derivative of e^{x^2-9}	derivative\:e^{x^{2}-9}
derivative of 2x^4-x^3+6x^2	derivative\:2x^{4}-x^{3}+6x^{2}
derivative of a(t)=t^3-12t	derivative\:a(t)=t^{3}-12t

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