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y^{''}-(6/x)y^'-(9/(x^2))y=0	y^{\prime\:\prime\:}-(\frac{6}{x})y^{\prime\:}-(\frac{9}{x^{2}})y=0
limit as x approaches-2+of (-2)/(x^2-4)	\lim\:_{x\to\:-2+}(\frac{-2}{x^{2}-4})
limit as x approaches+0 of 1/(sqrt(x))	\lim\:_{x\to\:+0}(\frac{1}{\sqrt{x}})
x^{''}+kx^'+x=0	x^{\prime\:\prime\:}+kx^{\prime\:}+x=0
derivative of (3x^2/4)	\frac{d}{dx}(\frac{3x^{2}}{4})
limit as x approaches 0+of cot(4x)	\lim\:_{x\to\:0+}(\cot(4x))
sum from n=1 to infinity of 1/(n^2+n+1)	\sum\:_{n=1}^{\infty\:}\frac{1}{n^{2}+n+1}
derivative of 10(2e^{x^2}x^2+e^{x^2})	derivative\:10(2e^{x^{2}}x^{2}+e^{x^{2}})
sum from n=1 to infinity of (5n)/(n!)	\sum\:_{n=1}^{\infty\:}\frac{5n}{n!}
derivative of (x/5-5/x ^5)	\frac{d}{dx}((\frac{x}{5}-\frac{5}{x})^{5})
integral from 0 to 2 of (2x-3)(4x^2+1)	\int\:_{0}^{2}(2x-3)(4x^{2}+1)dx
tangent of f(x)=4x^2+4x-2,\at x=-1	tangent\:f(x)=4x^{2}+4x-2,\at\:x=-1
derivative of (x^3+5e^x)	\frac{d}{dx}((x^{3}+5)e^{x})
integral of cos(4x)sqrt(2-sin(4x))	\int\:\cos(4x)\sqrt{2-\sin(4x)}dx
derivative of sqrt(4(x+4^3))	\frac{d}{dx}(\sqrt{4(x+4)^{3}})
tangent of f(x)=x^2-3x-2,\at x=2	tangent\:f(x)=x^{2}-3x-2,\at\:x=2
derivative of-b/(x^2)	\frac{d}{dx}(-\frac{b}{x^{2}})
(dy)/(dx)=(cos(7x))/(e^{7y)},y(0)=0	\frac{dy}{dx}=\frac{\cos(7x)}{e^{7y}},y(0)=0
limit as x approaches 1+of x^2-2	\lim\:_{x\to\:1+}(x^{2}-2)
sum from n=1 to infinity of 2n-1	\sum\:_{n=1}^{\infty\:}2n-1
integral of (2x^3-4x-8)/((x^2-x)(x^2+4))	\int\:\frac{2x^{3}-4x-8}{(x^{2}-x)(x^{2}+4)}dx
derivative of 0.0588(80)^{1.125}	derivative\:0.0588(80)^{1.125}
(\partial)/(\partial x)((2x)/(2+y))	\frac{\partial\:}{\partial\:x}(\frac{2x}{2+y})
xy^'-2y=x^2-x-1	xy^{\prime\:}-2y=x^{2}-x-1
inverse oflaplace s/((s^3+1))	inverselaplace\:\frac{s}{(s^{3}+1)}
derivative of e^{-1/(x^2})	\frac{d}{dx}(e^{-\frac{1}{x^{2}}})
integral of 3x^2-2x+1	\int\:3x^{2}-2x+1dx
dy+(2xy-4e^{-x^2})dx=0	dy+(2xy-4e^{-x^{2}})dx=0
(x+y)^2dx+(2xy+x^2-6)dy=0	(x+y)^{2}dx+(2xy+x^{2}-6)dy=0
derivative of (xlog_{2}(x))^2	derivative\:(x\log_{2}(x))^{2}
integral of (log_{10}(x))/x	\int\:\frac{\log_{10}(x)}{x}dx
d/(dt)(e^{t^2-t})	\frac{d}{dt}(e^{t^{2}-t})
taylor arctan(x/2)	taylor\:\arctan(\frac{x}{2})
2y^{''}+50y=0	2y^{\prime\:\prime\:}+50y=0
integral of 1-(2x)/(x^2+1)	\int\:1-\frac{2x}{x^{2}+1}dx
integral of (x^3-2x^4+x^5)/2	\int\:\frac{x^{3}-2x^{4}+x^{5}}{2}dx
derivative of 3tan(x)	derivative\:3\tan(x)
sum from n=0 to infinity of 1/2*(-1)^n	\sum\:_{n=0}^{\infty\:}\frac{1}{2}\cdot\:(-1)^{n}
(\partial)/(\partial x)(-4xy-x^4-y^4)	\frac{\partial\:}{\partial\:x}(-4xy-x^{4}-y^{4})
derivative of f(x)=x+4	derivative\:f(x)=x+4
integral of (x^2-x+14)/(x^3+7x)	\int\:\frac{x^{2}-x+14}{x^{3}+7x}dx
derivative of f(x)=\sqrt[3]{1+8x}	derivative\:f(x)=\sqrt[3]{1+8x}
integral of (x^2+2x)/(sqrt(x^3+3x^2+2))	\int\:\frac{x^{2}+2x}{\sqrt{x^{3}+3x^{2}+2}}dx
y^{''}-y=t^2e^t	y^{\prime\:\prime\:}-y=t^{2}e^{t}
integral of (x^2)/(sqrt(x^3))	\int\:\frac{x^{2}}{\sqrt{x^{3}}}dx
(dy)/((6+y)^2)=(dx)/((10+9x)^4)	\frac{dy}{(6+y)^{2}}=\frac{dx}{(10+9x)^{4}}
(df)/(dθ)=sin(θ)+csc(θ)	\frac{df}{dθ}=\sin(θ)+\csc(θ)
integral of (2x^3-5x+7)	\int\:(2x^{3}-5x+7)dx
d/(dv)(sqrt(u*v))	\frac{d}{dv}(\sqrt{u\cdot\:v})
derivative of f(θ)=4sin(θ)-θ	derivative\:f(θ)=4\sin(θ)-θ
y+(x+1)(dy)/(dx)=2x+2,y(0)=2	y+(x+1)\frac{dy}{dx}=2x+2,y(0)=2
y^'=-8xy	y^{\prime\:}=-8xy
(dy)/(dx)=e^{2x-y}	\frac{dy}{dx}=e^{2x-y}
integral of-e^{-x}ln(x)	\int\:-e^{-x}\ln(x)dx
(1+x^2)(e^{2t}dt-e^xdx)-(1+x)dx=0	(1+x^{2})(e^{2t}dt-e^{x}dx)-(1+x)dx=0
inverse oflaplace (se^{-2s})/(s^2+16)	inverselaplace\:\frac{se^{-2s}}{s^{2}+16}
integral from 0 to 1 of cos^2(pix)	\int\:_{0}^{1}\cos^{2}(πx)dx
integral of (2-sqrt(x))/(x^2)	\int\:\frac{2-\sqrt{x}}{x^{2}}dx
d/(d{y)}(({x}^2+{y}^2+{z}^2)^{-1/2})	\frac{d}{d{y}}(({x}^{2}+{y}^{2}+{z}^{2})^{-\frac{1}{2}})
integral of 54-18z-6z^2+2z^3	\int\:54-18z-6z^{2}+2z^{3}dz
integral from 0 to 1 of 2x5^x	\int\:_{0}^{1}2x5^{x}dx
derivative of v^{3/2}(v+ce^x)	derivative\:v^{\frac{3}{2}}(v+ce^{x})
integral of (6x)/(1+x^4)	\int\:\frac{6x}{1+x^{4}}dx
(dx)/(dt)=349.344897(1-e^{-0.0916t})	\frac{dx}{dt}=349.344897(1-e^{-0.0916t})
integral of (3e^{-0.4x})	\int\:(3e^{-0.4x})dx
derivative of f(-3)=20x^4	derivative\:f(-3)=20x^{4}
integral of 3e^{4x+e^{4x}}	\int\:3e^{4x+e^{4x}}dx
derivative of (3-3x-x^2/(x^2-5))	\frac{d}{dx}(\frac{3-3x-x^{2}}{x^{2}-5})
integral of 1/(3-x)	\int\:\frac{1}{3-x}dx
integral from 1 to ln(x) of 1/x	\int\:_{1}^{\ln(x)}\frac{1}{x}dx
derivative of 3pi^4	\frac{d}{dx}(3π^{4})
integral of sqrt(10-4x-4x^2)	\int\:\sqrt{10-4x-4x^{2}}dx
(\partial)/(\partial z)(2e^xcos(yz))	\frac{\partial\:}{\partial\:z}(2e^{x}\cos(yz))
limit as x approaches 0 of x^2-x	\lim\:_{x\to\:0}(x^{2}-x)
derivative of (6x^{3x})	\frac{d}{dx}((6x)^{3x})
integral of sec(x)tan(x)	\int\:\sec(x)\tan(x)dx
y^{''}+5y^'=(4t-2)sin(2t)	y^{\prime\:\prime\:}+5y^{\prime\:}=(4t-2)\sin(2t)
d/(dt)(3te^t)	\frac{d}{dt}(3te^{t})
integral from-3 to-1 of (x+2)^{99}	\int\:_{-3}^{-1}(x+2)^{99}dx
derivative of 7sqrt(x)-9/(x^6)	derivative\:7\sqrt{x}-\frac{9}{x^{6}}
tangent of f(x)=xe^{-x/2},\at x= 1/2	tangent\:f(x)=xe^{-\frac{x}{2}},\at\:x=\frac{1}{2}
t^2y^{''}+2ty^'-30y=0	t^{2}y^{\prime\:\prime\:}+2ty^{\prime\:}-30y=0
limit as x approaches 3 of ((x+3))/(x-3)	\lim\:_{x\to\:3}(\frac{(x+3)}{x-3})
limit as x approaches 0 of x^2ln(x)	\lim\:_{x\to\:0}(x^{2}\ln(x))
derivative of 1/(5sin(x)+(csc(x))/4)	\frac{d}{dx}(\frac{1}{5\sin(x)}+\frac{\csc(x)}{4})
derivative of x-sin^2(x-4xye^{xy^2})	\frac{d}{dx}(x-\sin^{2}(x)-4xye^{xy^{2}})
xy^'+4y=((2e^{-4x}))/(x^3)	xy^{\prime\:}+4y=\frac{(2e^{-4x})}{x^{3}}
derivative of (x+2/(x-1))	\frac{d}{dx}(\frac{x+2}{x-1})
3x^2y+(dy)/(dx)=4x^2	3x^{2}y+\frac{dy}{dx}=4x^{2}
integral of \sqrt[5]{x}+1/(\sqrt[5]{x)}	\int\:\sqrt[5]{x}+\frac{1}{\sqrt[5]{x}}dx
sum from n=0 to infinity of 3.25^n	\sum\:_{n=0}^{\infty\:}3.25^{n}
tangent of f(x)= 1/(3+2x),\at x=1	tangent\:f(x)=\frac{1}{3+2x},\at\:x=1
integral of (4x+2)	\int\:(4x+2)dx
derivative of ln(xsqrt(x^2+7))	derivative\:\ln(x\sqrt{x^{2}+7})
integral of ((cos(x)))/(sin(x))	\int\:\frac{(\cos(x))}{\sin(x)}dx
derivative of 1/t	derivative\:\frac{1}{t}
derivative of sqrt((x+1/(x-1)))	\frac{d}{dx}(\sqrt{\frac{x+1}{x-1}})
limit as x approaches 0+of 1+1/x	\lim\:_{x\to\:0+}(1+\frac{1}{x})
laplacetransform 5e^{-2(t-1)}	laplacetransform\:5e^{-2(t-1)}
sum from n=1 to infinity of (-3)^{-n}	\sum\:_{n=1}^{\infty\:}(-3)^{-n}

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