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taylor (cos(x))^2pi	taylor\:(\cos(x))^{2}π
y^'=(x-3)/(y+5)	y^{\prime\:}=\frac{x-3}{y+5}
derivative of-2e^{4x}	\frac{d}{dx}(-2e^{4x})
integral of 1/(5(2x-1))	\int\:\frac{1}{5(2x-1)}dx
derivative of f(x)=xsqrt(x)	derivative\:f(x)=x\sqrt{x}
taylor x*cos(x),1	taylor\:x\cdot\:\cos(x),1
limit as x approaches 3 of (x^2-9)/3	\lim\:_{x\to\:3}(\frac{x^{2}-9}{3})
tangent of y=11-6e^x,(0,5)	tangent\:y=11-6e^{x},(0,5)
limit as x approaches 0 of (ln(x))/(x-1)	\lim\:_{x\to\:0}(\frac{\ln(x)}{x-1})
integral of 21arctan(sqrt(x))	\int\:21\arctan(\sqrt{x})dx
limit as x approaches 0 of (e^x-1)/(4x)	\lim\:_{x\to\:0}(\frac{e^{x}-1}{4x})
integral of x(ax^2+b)^3	\int\:x(ax^{2}+b)^{3}dx
integral of-pisin(pix)	\int\:-π\sin(πx)dx
derivative of 5/(6x)	\frac{d}{dx}(\frac{5}{6x})
d/(dy)(1)	\frac{d}{dy}(1)
laplacetransform {e^tsin(3t)}	laplacetransform\:\left\{e^{t}\sin(3t)\right\}
sum from n=1 to infinity of (ln(6n))/n	\sum\:_{n=1}^{\infty\:}\frac{\ln(6n)}{n}
inverse oflaplace (1/2)/(s^2+2s+3)	inverselaplace\:\frac{\frac{1}{2}}{s^{2}+2s+3}
3(3x^2+y^2)dx-2xydy=0	3(3x^{2}+y^{2})dx-2xydy=0
t+ye^{2ty}+te^{2ty}(dy)/(dt)=0	t+ye^{2ty}+te^{2ty}\frac{dy}{dt}=0
(\partial)/(\partial x)(2e^{-2xy}+xy^3)	\frac{\partial\:}{\partial\:x}(2e^{-2xy}+xy^{3})
derivative of (sin(x)/(1+tan(x)))	\frac{d}{dx}(\frac{\sin(x)}{1+\tan(x)})
tangent of x+3/x ,\at x=2	tangent\:x+\frac{3}{x},\at\:x=2
derivative of f(x)=4-2x	derivative\:f(x)=4-2x
limit as x approaches 2 of ((x^6-64))/(x-2)	\lim\:_{x\to\:2}(\frac{(x^{6}-64)}{x-2})
derivative of f(x)=2x	derivative\:f(x)=2x
integral of 1/((s-1)^2)	\int\:\frac{1}{(s-1)^{2}}ds
sum from n=2 to infinity of 1/(n-ln(n))	\sum\:_{n=2}^{\infty\:}\frac{1}{n-\ln(n)}
integral of sin(2)(θ)cos(θ)	\int\:\sin(2)(θ)\cos(θ)dθ
limit as x approaches 1 of (1-x)/(x^2+1)	\lim\:_{x\to\:1}(\frac{1-x}{x^{2}+1})
implicit (dy)/(dx),x^3+y^3=6xy-1	implicit\:\frac{dy}{dx},x^{3}+y^{3}=6xy-1
integral of 1/(x^3+2x^2+x)	\int\:\frac{1}{x^{3}+2x^{2}+x}dx
inverse oflaplace 1/(s((s+2)^2+1))	inverselaplace\:\frac{1}{s((s+2)^{2}+1)}
sum from n=1 to infinity of 6e^{-8n}	\sum\:_{n=1}^{\infty\:}6e^{-8n}
limit as x approaches 0 of 2-sqrt(x)	\lim\:_{x\to\:0}(2-\sqrt{x})
integral of-e^{-st}	\int\:-e^{-st}dt
integral of 2/(e^t)	\int\:\frac{2}{e^{t}}dt
(\partial)/(\partial y)(1/(x^2+y^2-1))	\frac{\partial\:}{\partial\:y}(\frac{1}{x^{2}+y^{2}-1})
(dy)/(dx)=(2xy)/((x^2-y^2))	\frac{dy}{dx}=\frac{2xy}{(x^{2}-y^{2})}
(dy)/(dx)-5y=-5/2 xy^3	\frac{dy}{dx}-5y=-\frac{5}{2}xy^{3}
integral of x/(x^2+6)	\int\:\frac{x}{x^{2}+6}dx
y^{''}-9y^'+18y=0,y(0)=-5,y^'(0)=2	y^{\prime\:\prime\:}-9y^{\prime\:}+18y=0,y(0)=-5,y^{\prime\:}(0)=2
tangent of f(x)=9x^2-x^3,(2,28)	tangent\:f(x)=9x^{2}-x^{3},(2,28)
derivative of 1/(3x^5)	\frac{d}{dx}(\frac{1}{3x^{5}})
derivative of f(x)=((sin(x))/x)^2	derivative\:f(x)=(\frac{\sin(x)}{x})^{2}
integral of 4x^{2/3}	\int\:4x^{\frac{2}{3}}dx
(\partial)/(\partial y)(sqrt(3x+2xy^2))	\frac{\partial\:}{\partial\:y}(\sqrt{3x+2xy^{2}})
integral of 4/((x^2+5x-14))	\int\:\frac{4}{(x^{2}+5x-14)}dx
limit as x approaches 2 of 2x^2-3	\lim\:_{x\to\:2}(2x^{2}-3)
limit as x approaches-1+of 1/(x^2-1)	\lim\:_{x\to\:-1+}(\frac{1}{x^{2}-1})
integral of (2x^3+x^2-21x+24)/(x^2+2x-8)	\int\:\frac{2x^{3}+x^{2}-21x+24}{x^{2}+2x-8}dx
integral of 9x^2-4	\int\:9x^{2}-4dx
tangent of f(x)=4x^2+2,\at x=-2	tangent\:f(x)=4x^{2}+2,\at\:x=-2
(d^2y)/(dt^2)=1-e^{2t}	\frac{d^{2}y}{dt^{2}}=1-e^{2t}
d/(ds)(ln(3))	\frac{d}{ds}(\ln(3))
integral of 1/(9+sqrt(2x))	\int\:\frac{1}{9+\sqrt{2x}}dx
area 2y=3sqrt(x),2y+3x=6,y=-3	area\:2y=3\sqrt{x},2y+3x=6,y=-3
derivative of f(x)=(2x^2-5x)/(3x+5)	derivative\:f(x)=\frac{2x^{2}-5x}{3x+5}
integral from-5 to 5 of x	\int\:_{-5}^{5}xdx
(dy)/(dx)=(4y^2-x^4)/(4xy)	\frac{dy}{dx}=\frac{4y^{2}-x^{4}}{4xy}
derivative of tan(7x)	derivative\:\tan(7x)
integral of 4(x-1)ln(x-1)	\int\:4(x-1)\ln(x-1)dx
y^'-3/x y=(y^4)/(x^7)	y^{\prime\:}-\frac{3}{x}y=\frac{y^{4}}{x^{7}}
derivative of 4sin^2(3x)	\frac{d}{dx}(4\sin^{2}(3x))
y^{''}+10y^'+25y=e^{-4x}(x^2+2x-4)	y^{\prime\:\prime\:}+10y^{\prime\:}+25y=e^{-4x}(x^{2}+2x-4)
x^{''}-2x=0	x^{\prime\:\prime\:}-2x=0
derivative of cos^2(e^x)	\frac{d}{dx}(\cos^{2}(e^{x}))
slope of (7,-2),(3,5)	slope\:(7,-2),(3,5)
derivative of (1-x^2^{-1/2})	\frac{d}{dx}((1-x^{2})^{-\frac{1}{2}})
tangent of f(x)=sqrt(x),(49,7)	tangent\:f(x)=\sqrt{x},(49,7)
derivative of (4x)/(5-cot(x))	derivative\:\frac{4x}{5-\cot(x)}
(\partial)/(\partial y)(x^{y/z})	\frac{\partial\:}{\partial\:y}(x^{\frac{y}{z}})
(\partial)/(\partial x)(x^3y^2z)	\frac{\partial\:}{\partial\:x}(x^{3}y^{2}z)
integral of (x^2+2)/(x(x-1)^3)	\int\:\frac{x^{2}+2}{x(x-1)^{3}}dx
derivative of-x-(16/x)	\frac{d}{dx}(-x-\frac{16}{x})
derivative of f(x)=sin(ln(x))	derivative\:f(x)=\sin(\ln(x))
(dP)/(dt)=P(0.0005P-0.1),P(0)=300	\frac{dP}{dt}=P\cdot\:(0.0005\cdot\:P-0.1),P(0)=300
integral of x^p	\int\:x^{p}dx
integral from 2 to 4 of (x^2(2x-3))/6	\int\:_{2}^{4}\frac{x^{2}(2x-3)}{6}dx
(\partial)/(\partial x)(x/(x^2+y^2)+x)	\frac{\partial\:}{\partial\:x}(\frac{x}{x^{2}+y^{2}}+x)
derivative of f(x)=x^2*ln(x)	derivative\:f(x)=x^{2}\cdot\:\ln(x)
derivative of-6/(sqrt(x))	\frac{d}{dx}(-\frac{6}{\sqrt{x}})
integral from-5 to 5 of e	\int\:_{-5}^{5}edx
limit as x approaches 4 of (4-x)/(x-4)	\lim\:_{x\to\:4}(\frac{4-x}{x-4})
limit as x approaches 1 of 1/((x^2-1))	\lim\:_{x\to\:1}(\frac{1}{(x^{2}-1)})
integral from-4 to 0 of f(x)	\int\:_{-4}^{0}f(x)dx
sum from n=1 to infinity of cos^n(1)	\sum\:_{n=1}^{\infty\:}\cos^{n}(1)
sum from n=0 to infinity of (0.02)^n	\sum\:_{n=0}^{\infty\:}(0.02)^{n}
integral of 5e^x	\int\:5e^{x}dx
integral of 3/(100+3t)	\int\:\frac{3}{100+3t}dt
limit as x approaches 4 of x-4	\lim\:_{x\to\:4}(x-4)
integral from 1 to 16 of (x-3)/(sqrt(x))	\int\:_{1}^{16}\frac{x-3}{\sqrt{x}}dx
integral of e^tsin(t)	\int\:e^{t}\sin(t)dt
y^'=1+4y^2	y^{\prime\:}=1+4y^{2}
(\partial)/(\partial t)(e^{2t})	\frac{\partial\:}{\partial\:t}(e^{2t})
tangent of f(x)=(6x)/(x+5),\at x=-3	tangent\:f(x)=\frac{6x}{x+5},\at\:x=-3
d/(dt)(\sqrt[3]{t^3+s}+\sqrt[3]{s^3+t})	\frac{d}{dt}(\sqrt[3]{t^{3}+s}+\sqrt[3]{s^{3}+t})
derivative of ln(2x^2+5)	\frac{d}{dx}(\ln(2x^{2}+5))
integral of (1+x+x^2+x^3)	\int\:(1+x+x^{2}+x^{3})dx
derivative of asin(ax)	\frac{d}{dx}(a\sin(ax))

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