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2ty^'+(4+12t^3-120t^2)y=0	2ty^{\prime\:}+(4+12t^{3}-120t^{2})y=0
derivative of y=(5t-1)(6t-3)^{-1}	derivative\:y=(5t-1)(6t-3)^{-1}
tangent of f(x)=x+4e^x	tangent\:f(x)=x+4e^{x}
d/(dt)(acos(wt))	\frac{d}{dt}(a\cos(wt))
derivative of y=2x^2+8x+10	derivative\:y=2x^{2}+8x+10
derivative of (4x^2+5(5x-3))	\frac{d}{dx}((4x^{2}+5)(5x-3))
limit as x approaches 90 of cos(x)	\lim\:_{x\to\:90}(\cos(x))
integral from 0 to 9 of 3/(\sqrt[3]{x-1)}	\int\:_{0}^{9}\frac{3}{\sqrt[3]{x-1}}dx
derivative of f(4)=4x^{5/4}+8x^{3/2}+8x	derivative\:f(4)=4x^{\frac{5}{4}}+8x^{\frac{3}{2}}+8x
(d^2)/(dx^2)(sec(θ))	\frac{d^{2}}{dx^{2}}(\sec(θ))
derivative of-1/(x^3)	derivative\:-\frac{1}{x^{3}}
integral from-infinity to 0 of e^{-3x}	\int\:_{-\infty\:}^{0}e^{-3x}dx
taylor x^3+2x+1,2	taylor\:x^{3}+2x+1,2
y^{''}+64y=0,y(0)=1,y^'(0)=5	y^{\prime\:\prime\:}+64y=0,y(0)=1,y^{\prime\:}(0)=5
derivative of-x^3e^x	\frac{d}{dx}(-x^{3}e^{x})
(\partial)/(\partial x)(xe^{(x^2-y)})	\frac{\partial\:}{\partial\:x}(xe^{(x^{2}-y)})
integral of (x+2)sqrt((3x^2+12x))	\int\:(x+2)\sqrt{(3x^{2}+12x)}dx
(\partial)/(\partial y)(xy^2+ye^{x^2}+5)	\frac{\partial\:}{\partial\:y}(xy^{2}+ye^{x^{2}}+5)
derivative of y=ln(sqrt(x+5))	derivative\:y=\ln(\sqrt{x+5})
limit as x approaches 2 of x^2+6	\lim\:_{x\to\:2}(x^{2}+6)
derivative of ((4x^2+4x+6))/(sqrt(x))	derivative\:\frac{(4x^{2}+4x+6)}{\sqrt{x}}
integral of (x+5)/(2x+3)	\int\:\frac{x+5}{2x+3}dx
integral of te^{-8t}	\int\:te^{-8t}dt
derivative of 5excos(x)	derivative\:5ex\cos(x)
(dy)/(dx)=e^x,x(0)=6	\frac{dy}{dx}=e^{x},x(0)=6
(\partial)/(\partial x)(x^2+y^2+(12-x-y)^2)	\frac{\partial\:}{\partial\:x}(x^{2}+y^{2}+(12-x-y)^{2})
(\partial)/(\partial x)(xye^{-y})	\frac{\partial\:}{\partial\:x}(xye^{-y})
limit as x approaches ln(2) of-4e^{-2x}	\lim\:_{x\to\:\ln(2)}(-4e^{-2x})
integral of 9xe^x	\int\:9xe^{x}dx
y^{''}+4*y=cos(x)	y^{\prime\:\prime\:}+4\cdot\:y=\cos(x)
derivative of x/(x^2+225)	\frac{d}{dx}(\frac{x}{x^{2}+225})
integral from 1 to 4 of x^2-5x+4	\int\:_{1}^{4}x^{2}-5x+4dx
tangent of x^{3/2}+x^{1/2}	tangent\:x^{\frac{3}{2}}+x^{\frac{1}{2}}
limit as x approaches 1 of (sqrt(3-x))/(sqrt(3+x))e^{-x}cos(pix)	\lim\:_{x\to\:1}(\frac{\sqrt{3-x}}{\sqrt{3+x}}e^{-x}\cos(πx))
derivative of (8x^2+6x+8/(sqrt(x)))	\frac{d}{dx}(\frac{8x^{2}+6x+8}{\sqrt{x}})
integral from (sqrt(2))/4 to 1/2 of 1/(x^5sqrt(16x^2-1))	\int\:_{\frac{\sqrt{2}}{4}}^{\frac{1}{2}}\frac{1}{x^{5}\sqrt{16x^{2}-1}}dx
limit as x approaches 0-of x^2*sin(1/x)	\lim\:_{x\to\:0-}(x^{2}\cdot\:\sin(\frac{1}{x}))
integral from-2 to 3 of (33)/(sqrt(3-x))	\int\:_{-2}^{3}\frac{33}{\sqrt{3-x}}dx
integral of-3cos^2(x)sin^2(x)	\int\:-3\cos^{2}(x)\sin^{2}(x)dx
integral of (7x^2)/((36+x^2)^2)	\int\:\frac{7x^{2}}{(36+x^{2})^{2}}dx
(dy)/(dx)=(2x-1)/(sin(y))	\frac{dy}{dx}=\frac{2x-1}{\sin(y)}
(\partial)/(\partial z)(e^{xy}+z)	\frac{\partial\:}{\partial\:z}(e^{xy}+z)
derivative of (x+2^2+(10-3x)^2)	\frac{d}{dx}((x+2)^{2}+(10-3x)^{2})
sum from n=1 to infinity of 1+1/(n+1)	\sum\:_{n=1}^{\infty\:}1+\frac{1}{n+1}
limit as x approaches 0 of ((2-x)^3-8)/x	\lim\:_{x\to\:0}(\frac{(2-x)^{3}-8}{x})
inverse oflaplace 5/(s^2+49)	inverselaplace\:\frac{5}{s^{2}+49}
y(1+x^2)y^'-x(9+y^2)=0	y(1+x^{2})y^{\prime\:}-x(9+y^{2})=0
integral of cos(x)-cos^4(x)	\int\:\cos(x)-\cos^{4}(x)dx
integral of 9x^7e^{-x^4}	\int\:9x^{7}e^{-x^{4}}dx
y^{''}-y^'+4y=2sin(2x)	y^{\prime\:\prime\:}-y^{\prime\:}+4y=2\sin(2x)
integral from 0 to 7 of sqrt(49+x^2)	\int\:_{0}^{7}\sqrt{49+x^{2}}dx
derivative of (sqrt(x)-2(3sqrt(x)+8))	\frac{d}{dx}((\sqrt{x}-2)(3\sqrt{x}+8))
integral of (x+2)/(5x+6)	\int\:\frac{x+2}{5x+6}dx
derivative of e^xcos(x-sin(x)e^x)	\frac{d}{dx}(e^{x}\cos(x)-\sin(x)e^{x})
y^{''}+36y^'=0	y^{\prime\:\prime\:}+36y^{\prime\:}=0
limit as x approaches pi/2+of sec(x)	\lim\:_{x\to\:\frac{π}{2}+}(\sec(x))
integral of x(sqrt(9-x^2))	\int\:x(\sqrt{9-x^{2}})dx
tangent of f(x)=(5x)/(x+2),(3,3)	tangent\:f(x)=\frac{5x}{x+2},(3,3)
integral from 0 to 4 of x/8	\int\:_{0}^{4}\frac{x}{8}dx
tangent of f(x)=e^x-xe^x,\at x=0	tangent\:f(x)=e^{x}-xe^{x},\at\:x=0
limit as x approaches-11 of x^2+11	\lim\:_{x\to\:-11}(x^{2}+11)
limit as x approaches 0 of arctan(e^x)	\lim\:_{x\to\:0}(\arctan(e^{x}))
integral from 2 to 3 of 1/((x+1)ln(x+1))	\int\:_{2}^{3}\frac{1}{(x+1)\ln(x+1)}dx
integral of (csc^2(x))/(cot^4(x))	\int\:\frac{\csc^{2}(x)}{\cot^{4}(x)}dx
derivative of f(x)=10x^3-20x+1/5	derivative\:f(x)=10x^{3}-20x+\frac{1}{5}
y^{''}+y= 1/4 sin(3t)-3/4 sin(t)	y^{\prime\:\prime\:}+y=\frac{1}{4}\sin(3t)-\frac{3}{4}\sin(t)
derivative of arccos((ax/2))	\frac{d}{dx}(\arccos(\frac{ax}{2}))
integral of 1/x-4/(x^2+1)	\int\:\frac{1}{x}-\frac{4}{x^{2}+1}dx
integral from 0 to infinity of cos^2(x)	\int\:_{0}^{\infty\:}\cos^{2}(x)dx
integral of 1/(64e^{-8x)+e^{8x}}	\int\:\frac{1}{64e^{-8x}+e^{8x}}dx
slope of (5,7),(-4,-2)	slope\:(5,7),(-4,-2)
integral of (e^{4x}+e^{-4x})^2	\int\:(e^{4x}+e^{-4x})^{2}dx
derivative of f(x)=-(10)/(x^2)	derivative\:f(x)=-\frac{10}{x^{2}}
integral of 8-2x^2	\int\:8-2x^{2}dx
(\partial)/(\partial y)(4arctan(x/y))	\frac{\partial\:}{\partial\:y}(4\arctan(\frac{x}{y}))
derivative of (x^2-2x-48/(x+6))	\frac{d}{dx}(\frac{x^{2}-2x-48}{x+6})
derivative of f(x)=4x^2-2x+3	derivative\:f(x)=4x^{2}-2x+3
parity tan(3x)+x^4	parity\:\tan(3x)+x^{4}
y^{''}+11y^'+28y=84x^2+66x+6+40e^x	y^{\prime\:\prime\:}+11y^{\prime\:}+28y=84x^{2}+66x+6+40e^{x}
limit as x approaches 12 of sqrt(x-3)	\lim\:_{x\to\:12}(\sqrt{x-3})
tangent of f(x)=x^2-3,\at x=-2	tangent\:f(x)=x^{2}-3,\at\:x=-2
integral of x/(sqrt(2x^2+5))	\int\:\frac{x}{\sqrt{2x^{2}+5}}dx
integral of (3x+1)/(x^2+x-6)	\int\:\frac{3x+1}{x^{2}+x-6}dx
area x=7y^2,x=3+4y^2	area\:x=7y^{2},x=3+4y^{2}
integral of sin(mpix)	\int\:\sin(mπx)dx
derivative of f(x)=2x-(e^x)/2	derivative\:f(x)=2x-\frac{e^{x}}{2}
integral from pi to infinity of 4/(x^2)	\int\:_{π}^{\infty\:}\frac{4}{x^{2}}dx
y^{''}+2y^'+y=(3x+4)e^{3x}	y^{\prime\:\prime\:}+2y^{\prime\:}+y=(3x+4)e^{3x}
f(x)=x^5-x^3+3	f(x)=x^{5}-x^{3}+3
normal of y=x^4+9e^x,(0,9)	normal\:y=x^{4}+9e^{x},(0,9)
derivative of 9xe^{-kx}	derivative\:9xe^{-kx}
area y=4-x^2,y=14-7x	area\:y=4-x^{2},y=14-7x
integral of 8cos(x)+3x-8	\int\:8\cos(x)+3x-8dx
derivative of y=ln(1/((x-2)^3))	derivative\:y=\ln(\frac{1}{(x-2)^{3}})
laplacetransform-5e^{4t}	laplacetransform\:-5e^{4t}
(\partial)/(\partial x)(xsin(2x^2y))	\frac{\partial\:}{\partial\:x}(x\sin(2x^{2}y))
integral of 1/(tsqrt(4t^2-1))	\int\:\frac{1}{t\sqrt{4t^{2}-1}}dt
y^{''}-y=x^2e^x	y^{\prime\:\prime\:}-y=x^{2}e^{x}
integral of 2(x-1)	\int\:2(x-1)dx
y^{''}+2y^'+36y=0,y(0)=1,y^'(0)=0	y^{\prime\:\prime\:}+2y^{\prime\:}+36y=0,y(0)=1,y^{\prime\:}(0)=0

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