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laplacetransform e^{-3t}	laplacetransform\:e^{-3t}
(t^2+16)((dx)/(dt))=(x^2+25),x(0)=5	(t^{2}+16)(\frac{dx}{dt})=(x^{2}+25),x(0)=5
limit as x approaches 0 of (1-5x)^{1/x}	\lim\:_{x\to\:0}((1-5x)^{\frac{1}{x}})
integral of sqrt(tan(x))(sec(x))^4	\int\:\sqrt{\tan(x)}(\sec(x))^{4}dx
derivative of (x^2/((x-1)^2))	\frac{d}{dx}(\frac{x^{2}}{(x-1)^{2}})
derivative of 5sec(xtan(x))	\frac{d}{dx}(5\sec(x)\tan(x))
(\partial)/(\partial x)(3+200x^2+300y^2)	\frac{\partial\:}{\partial\:x}(3+200x^{2}+300y^{2})
tangent of f(x)=((2x-1))/(x+3),\at x=2	tangent\:f(x)=\frac{(2x-1)}{x+3},\at\:x=2
derivative of f(x)=(2x-4)^4(x^2+x+1)^5	derivative\:f(x)=(2x-4)^{4}(x^{2}+x+1)^{5}
(\partial)/(\partial x)(y/(2-x))	\frac{\partial\:}{\partial\:x}(\frac{y}{2-x})
derivative of \sqrt[5]{1/(y^2)}	derivative\:\sqrt[5]{\frac{1}{y^{2}}}
derivative of f(x)=(4x-1)/(x+5)	derivative\:f(x)=\frac{4x-1}{x+5}
tangent of f(x)=(5x-x^2)(5-x-x^2)	tangent\:f(x)=(5x-x^{2})(5-x-x^{2})
(\partial)/(\partial t)(t^2x-t)	\frac{\partial\:}{\partial\:t}(t^{2}x-t)
integral of x/(sqrt(x^2+9))	\int\:\frac{x}{\sqrt{x^{2}+9}}dx
laplacetransform 6t^3+5cos(2t)	laplacetransform\:6t^{3}+5\cos(2t)
derivative of x^2sqrt(8x-5)	\frac{d}{dx}(x^{2}\sqrt{8x-5})
sum from n=0 to infinity of 4(1/10)^n	\sum\:_{n=0}^{\infty\:}4(\frac{1}{10})^{n}
t^2y^'+ty=7	t^{2}y^{\prime\:}+ty=7
integral of (x^2)/((x^2+4)^{3/2)}	\int\:\frac{x^{2}}{(x^{2}+4)^{\frac{3}{2}}}dx
derivative of f(x)=(27)/(5e^2)-3/2	derivative\:f(x)=\frac{27}{5e^{2}}-\frac{3}{2}
derivative of sqrt(x+1)(16+8x+9x^2)	\frac{d}{dx}(\sqrt{x+1}(16+8x+9x^{2}))
xy^'+y=y^2,y(1)=-7	xy^{\prime\:}+y=y^{2},y(1)=-7
integral of (169)/(x^3-13x^2)	\int\:\frac{169}{x^{3}-13x^{2}}dx
derivative of \sqrt[9]{x}-9e^x	\frac{d}{dx}(\sqrt[9]{x}-9e^{x})
limit as x approaches 2 of 1/(x-1)	\lim\:_{x\to\:2}(\frac{1}{x-1})
derivative of (x^3+4x^{(x^5+3x^2)})	\frac{d}{dx}((x^{3}+4x)^{(x^{5}+3x^{2})})
integral of 1-2x+x^2	\int\:1-2x+x^{2}dx
limit as x approaches 0 of (ln(1+x))/x	\lim\:_{x\to\:0}(\frac{\ln(1+x)}{x})
tangent of f(x)=x^2+9,(5,34)	tangent\:f(x)=x^{2}+9,(5,34)
integral of ((9x^2+5x+9))/((x^2+1)^2)	\int\:\frac{(9x^{2}+5x+9)}{(x^{2}+1)^{2}}dx
(x^6+y^6)dx+6xy^5dy=0	(x^{6}+y^{6})dx+6xy^{5}dy=0
f(t)=cos^2(t)	f(t)=\cos^{2}(t)
derivative of ln(1-4x)	\frac{d}{dx}(\ln(1-4x))
derivative of sqrt(x+10)	derivative\:\sqrt{x+10}
inverse oflaplace (s+3.3)/(s+1)	inverselaplace\:\frac{s+3.3}{s+1}
derivative of log_{10}(x^2-5x)	\frac{d}{dx}(\log_{10}(x^{2}-5x))
derivative of y=x(x-6)^2	derivative\:y=x(x-6)^{2}
derivative of e^{-5x}+e^{3x}	derivative\:e^{-5x}+e^{3x}
derivative of sqrt(e^x+19)	\frac{d}{dx}(\sqrt{e^{x}+19})
limit as x approaches 2+of sqrt(2-x)	\lim\:_{x\to\:2+}(\sqrt{2-x})
derivative of (1-6x/(2+x))	\frac{d}{dx}(\frac{1-6x}{2+x})
derivative of (t^2+e^t)sqrt(t)	derivative\:(t^{2}+e^{t})\sqrt{t}
derivative of cos^2(xtan(x))	\frac{d}{dx}(\cos^{2}(x)\tan(x))
derivative of cot(xdx)	\frac{d}{dx}(\cot(x)dx)
integral of 1/(x(2x+3))	\int\:\frac{1}{x(2x+3)}dx
integral of (8+u)/u	\int\:\frac{8+u}{u}du
integral of x/(e^{5x)}	\int\:\frac{x}{e^{5x}}dx
derivative of (x^3)/6+1/(2x)	derivative\:\frac{x^{3}}{6}+\frac{1}{2x}
integral of e^{2x}cos(1-x)	\int\:e^{2x}\cos(1-x)dx
y^'=y^2-2	y^{\prime\:}=y^{2}-2
derivative of y=(4x-x^2)^3	derivative\:y=(4x-x^{2})^{3}
derivative of (4x/((x^2+1)^2))	\frac{d}{dx}(\frac{4x}{(x^{2}+1)^{2}})
integral from-3 to 4 of x	\int\:_{-3}^{4}xdx
derivative of f(x)=4x^2-5x-4x-2	derivative\:f(x)=4x^{2}-5x-4x-2
derivative of arctan(7x)	derivative\:\arctan(7x)
integral of \sqrt[9]{x}	\int\:\sqrt[9]{x}dx
integral of \sqrt[3]{27x^5}	\int\:\sqrt[3]{27x^{5}}dx
tangent of f(x)= 1/(x-1),(-7,-1/8)	tangent\:f(x)=\frac{1}{x-1},(-7,-\frac{1}{8})
area (x^2-4),y=0,x=-4,x=3	area\:(x^{2}-4),y=0,x=-4,x=3
integral of (e^{5sin(x)})/(sec(x))	\int\:\frac{e^{5\sin(x)}}{\sec(x)}dx
derivative of ((3x-5^3)/((2x^2+1)^4))	\frac{d}{dx}(\frac{(3x-5)^{3}}{(2x^{2}+1)^{4}})
(\partial)/(\partial y)(y)	\frac{\partial\:}{\partial\:y}(y)
y^{''}-2y^'-48y=0	y^{\prime\:\prime\:}-2y^{\prime\:}-48y=0
integral of 1/(9e^{-7x)+e^{7x}}	\int\:\frac{1}{9e^{-7x}+e^{7x}}dx
integral of 4cos^4(x)	\int\:4\cos^{4}(x)dx
derivative of (x/4 ^2)	\frac{d}{dx}((\frac{x}{4})^{2})
derivative of \sqrt[3]{(x-1/(x+1)})	\frac{d}{dx}(\sqrt[3]{\frac{x-1}{x+1}})
derivative of x^{3/5}sqrt(x^3+5)	\frac{d}{dx}(x^{\frac{3}{5}}\sqrt{x^{3}+5})
d/(dθ)(4-θ^2sin(θ))	\frac{d}{dθ}(4-θ^{2}\sin(θ))
(\partial)/(\partial x)(1/(2x+3y))	\frac{\partial\:}{\partial\:x}(\frac{1}{2x+3y})
tangent of y=3-2x+4x^3,(-1,1)	tangent\:y=3-2x+4x^{3},(-1,1)
integral of sqrt(1+cos(x))	\int\:\sqrt{1+\cos(x)}dx
x^2(dy)/(dx)-2x^3e^{-1/x}=y	x^{2}\frac{dy}{dx}-2x^{3}e^{-\frac{1}{x}}=y
integral of sin(5x)sin(4x)	\int\:\sin(5x)\sin(4x)dx
slope ofintercept (4.1)(8.2)	slopeintercept\:(4.1)(8.2)
derivative of (sec(x+csc(x))/(csc(x)))	\frac{d}{dx}(\frac{\sec(x)+\csc(x)}{\csc(x)})
integral of cos(x)(tan(x)+sec(x))	\int\:\cos(x)(\tan(x)+\sec(x))dx
(\partial)/(\partial x)(-x^2y+4)	\frac{\partial\:}{\partial\:x}(-x^{2}y+4)
d/(d{x)}(sqrt(25-{x)^2-{y}^2-{z}^2})	\frac{d}{d{x}}(\sqrt{25-{x}^{2}-{y}^{2}-{z}^{2}})
(\partial)/(\partial x)(x^2ye^{x-z})	\frac{\partial\:}{\partial\:x}(x^{2}ye^{x-z})
inverse oflaplace 1/(1+s)*8/s	inverselaplace\:\frac{1}{1+s}\cdot\:\frac{8}{s}
integral of (e^u)/((1-e^u)^2)	\int\:\frac{e^{u}}{(1-e^{u})^{2}}du
(dy)/(dx)=y^2(4-e^x)	\frac{dy}{dx}=y^{2}(4-e^{x})
3y^{''}+5y^'-12y=0	3y^{\prime\:\prime\:}+5y^{\prime\:}-12y=0
d/(dy)(-2e^x+4xcos(y))	\frac{d}{dy}(-2e^{x}+4x\cos(y))
integral of 2x-8y	\int\:2x-8ydx
integral of (x^3-2x)/(x^2+3x+2)	\int\:\frac{x^{3}-2x}{x^{2}+3x+2}dx
integral of 1/(x^2sqrt(9x^2-1))	\int\:\frac{1}{x^{2}\sqrt{9x^{2}-1}}dx
integral of tan^3(11pix)	\int\:\tan^{3}(11πx)dx
derivative of 1/4 sin(2x)	\frac{d}{dx}(\frac{1}{4}\sin(2x))
integral of (x^{1/2})	\int\:(x^{\frac{1}{2}})dx
y^{''}+y=cot^2(x)	y^{\prime\:\prime\:}+y=\cot^{2}(x)
inverse oflaplace ((s+4))/((s^2-2s+4))	inverselaplace\:\frac{(s+4)}{(s^{2}-2s+4)}
(-16xy^2+3y)+(-16x^2y+3x)y^'=0	(-16xy^{2}+3y)+(-16x^{2}y+3x)y^{\prime\:}=0
tangent of x^2+xy+2y^2=18,(3,-3)	tangent\:x^{2}+xy+2y^{2}=18,(3,-3)
integral of x/(x^2+6x+13)	\int\:\frac{x}{x^{2}+6x+13}dx
integral of xe^{-x}sin(x)	\int\:xe^{-x}\sin(x)dx
limit as x approaches-infinity of x^4e^x	\lim\:_{x\to\:-\infty\:}(x^{4}e^{x})
derivative of 1-2e^{3x}	\frac{d}{dx}(1-2e^{3x})

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