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integral of ((x-1))/x	\int\:\frac{(x-1)}{x}dx
FUNCTION_MANY#domain of f(x)=(3x^2)^{2x}(x^2+2x)^2	FUNCTION_MANY#domain\:f(x)=(3x^{2})^{2x}(x^{2}+2x)^{2}
y^{''}-6y^'+2y=0,y(0)=0,y^'(0)=9	y^{\prime\:\prime\:}-6y^{\prime\:}+2y=0,y(0)=0,y^{\prime\:}(0)=9
(dy)/(dt)= 1/5 t	\frac{dy}{dt}=\frac{1}{5}t
y^{''}-0.2y^'+0.01y=0,y(0)=12,y^'(0)=b	y^{\prime\:\prime\:}-0.2y^{\prime\:}+0.01y=0,y(0)=12,y^{\prime\:}(0)=b
derivative of ((x^2/8+x-1/x)^4)	\frac{d}{dx}((\frac{x^{2}}{8}+x-\frac{1}{x})^{4})
derivative of 9/(t^2)-3/t	derivative\:\frac{9}{t^{2}}-\frac{3}{t}
integral of sin^5(5x)cos^3(5x)	\int\:\sin^{5}(5x)\cos^{3}(5x)dx
derivative of-(4x/((-x+1)^2(x+1)^2))	\frac{d}{dx}(-\frac{4x}{(-x+1)^{2}(x+1)^{2}})
inverse oflaplace ((2s+3))/(s^2+6s+13)	inverselaplace\:\frac{(2s+3)}{s^{2}+6s+13}
derivative of sin(pix)	derivative\:\sin(πx)
tangent of y=3+5x^2-2x^3	tangent\:y=3+5x^{2}-2x^{3}
limit as x approaches 0 of (5x+2)^3	\lim\:_{x\to\:0}((5x+2)^{3})
derivative of arcsin(8x)	\frac{d}{dx}(\arcsin(8x))
derivative of e^{-5/(t^7)}	derivative\:e^{-\frac{5}{t^{7}}}
derivative of x^{-2}(4+3x^{-3})	\frac{d}{dx}(x^{-2}(4+3x^{-3}))
integral of 4^{7x}	\int\:4^{7x}dx
limit as x approaches-1 of sqrt(x+5)-2	\lim\:_{x\to\:-1}(\sqrt{x+5}-2)
derivative of 5^{x^4}	derivative\:5^{x^{4}}
3x^2y+x^3y^'=-7sec^2(x)tan(x)	3x^{2}y+x^{3}y^{\prime\:}=-7\sec^{2}(x)\tan(x)
tangent of f(x)=2x^3-4x+6	tangent\:f(x)=2x^{3}-4x+6
y^'=4+e^{y-4x+1}	y^{\prime\:}=4+e^{y-4x+1}
inverse oflaplace (400)/(s^2+12s+400)	inverselaplace\:\frac{400}{s^{2}+12s+400}
tangent of f(x)=x^2+4,(-3,13)	tangent\:f(x)=x^{2}+4,(-3,13)
integral of (cos^3(3t))/(sin^5(3t))	\int\:\frac{\cos^{3}(3t)}{\sin^{5}(3t)}dt
y^'+(2y)/(t-2)=(sin(t))/(t-2)	y^{\prime\:}+\frac{2y}{t-2}=\frac{\sin(t)}{t-2}
(\partial)/(\partial x)(3xy+4xz+5yz-3)	\frac{\partial\:}{\partial\:x}(3xy+4xz+5yz-3)
derivative of 3cot(x)	\frac{d}{dx}(3\cot(x))
integral of sqrt(2-2cos(t))	\int\:\sqrt{2-2\cos(t)}dt
integral of (x^2)/((1+x)^3)	\int\:\frac{x^{2}}{(1+x)^{3}}dx
inverse oflaplace (se^{-2s})/(s^2+3s+2)	inverselaplace\:\frac{se^{-2s}}{s^{2}+3s+2}
limit as x approaches 1/2 of (6x-1)/x	\lim\:_{x\to\:\frac{1}{2}}(\frac{6x-1}{x})
integral of x^{14}e^{x^3}	\int\:x^{14}e^{x^{3}}dx
(\partial)/(\partial x)(e^{xln(y)})	\frac{\partial\:}{\partial\:x}(e^{x\ln(y)})
limit as x approaches 2 of x/((x-2)^2)	\lim\:_{x\to\:2}(\frac{x}{(x-2)^{2}})
slope of 2x^4-11x^2	slope\:2x^{4}-11x^{2}
integral of ln(1+1/x)	\int\:\ln(1+\frac{1}{x})dx
x^2y^{''}+17xy^'+113y=0	x^{2}y^{\prime\:\prime\:}+17xy^{\prime\:}+113y=0
derivative of (2x^2/(2x^2+1))	\frac{d}{dx}(\frac{2x^{2}}{2x^{2}+1})
sum from n=0 to infinity of 7/(3^n)	\sum\:_{n=0}^{\infty\:}\frac{7}{3^{n}}
derivative of cosh(kx)	\frac{d}{dx}(\cosh(kx))
integral of 1/(tan^2(u)+1)	\int\:\frac{1}{\tan^{2}(u)+1}du
limit as x approaches 1-of 1/(x^2-1)	\lim\:_{x\to\:1-}(\frac{1}{x^{2}-1})
integral of 2/(3sqrt(x))	\int\:\frac{2}{3\sqrt{x}}dx
tangent of y=sqrt(x-1),(10,3)	tangent\:y=\sqrt{x-1},(10,3)
derivative of f(x)=2e^0	derivative\:f(x)=2e^{0}
integral of 1/(cos^2(x)sqrt(1+tan(x)))	\int\:\frac{1}{\cos^{2}(x)\sqrt{1+\tan(x)}}dx
(\partial}{\partial x}(\frac{9x)/y)	\frac{\partial\:}{\partial\:x}(\frac{9x}{y})
tangent of y=xsqrt(x),(9,27)	tangent\:y=x\sqrt{x},(9,27)
d/(dn)(5^n)	\frac{d}{dn}(5^{n})
limit as x approaches 4 of 8/x	\lim\:_{x\to\:4}(\frac{8}{x})
integral of 1/(sqrt(x^2+2x+5))	\int\:\frac{1}{\sqrt{x^{2}+2x+5}}dx
tangent of y=6+4x^2-2x^3	tangent\:y=6+4x^{2}-2x^{3}
integral from 1 to infinity of 2e^{-x}	\int\:_{1}^{\infty\:}2e^{-x}dx
derivative of (3x^{2x})	\frac{d}{dx}((3x)^{2x})
sum from n=0 to infinity of n/(e^{n^2)}	\sum\:_{n=0}^{\infty\:}\frac{n}{e^{n^{2}}}
(\partial)/(\partial y)(yze^x)	\frac{\partial\:}{\partial\:y}(yze^{x})
integral of ln(1+x^2)	\int\:\ln(1+x^{2})dx
(\partial)/(\partial x)((2x+8)ln(xy))	\frac{\partial\:}{\partial\:x}((2x+8)\ln(xy))
f^'(x)=3x+2	f^{\prime\:}(x)=3x+2
limit as x approaches 3 of 1/((x-3)^3)	\lim\:_{x\to\:3}(\frac{1}{(x-3)^{3}})
d/(dt)(arctan(4t))	\frac{d}{dt}(\arctan(4t))
limit as x approaches 0+of xln(tan(5x))	\lim\:_{x\to\:0+}(x\ln(\tan(5x)))
inverse oflaplace 4s	inverselaplace\:4s
tangent of f(x)= 2/x ,\at x=-9	tangent\:f(x)=\frac{2}{x},\at\:x=-9
derivative of (x^2+2xe^x)	\frac{d}{dx}((x^{2}+2x)e^{x})
tangent of x^2+2xy-y^2+x=51,(5,7)	tangent\:x^{2}+2xy-y^{2}+x=51,(5,7)
slope of (4.3)(4.6)	slope\:(4.3)(4.6)
integral of e^{-x}+e^{-3x}	\int\:e^{-x}+e^{-3x}dx
sum from n=0 to infinity of (n!)/(n^n)	\sum\:_{n=0}^{\infty\:}\frac{n!}{n^{n}}
integral of (1/(x^9)-x^9-1/8)	\int\:(\frac{1}{x^{9}}-x^{9}-\frac{1}{8})dx
integral from 0 to 1 of (x^2+1)e^{-1}	\int\:_{0}^{1}(x^{2}+1)e^{-1}dx
integral of x^2(4-x)	\int\:x^{2}(4-x)dx
limit as x approaches 2 of (4-x^2)/(2+x)	\lim\:_{x\to\:2}(\frac{4-x^{2}}{2+x})
derivative of 20x-x^2	\frac{d}{dx}(20x-x^{2})
(dx)/(dt)= 3/2 tcos^2(x),x(0)=-1.4	\frac{dx}{dt}=\frac{3}{2}t\cos^{2}(x),x(0)=-1.4
derivative of sqrt(x+1)+sqrt(x)	\frac{d}{dx}(\sqrt{x+1}+\sqrt{x})
integral of 10sin^3(x)cos^5(x)	\int\:10\sin^{3}(x)\cos^{5}(x)dx
derivative of 1/(1-t)	derivative\:\frac{1}{1-t}
derivative of (27/(x^2+9))	\frac{d}{dx}(\frac{27}{x^{2}+9})
integral from 0 to 7 of (2t)/((t-8)^2)	\int\:_{0}^{7}\frac{2t}{(t-8)^{2}}dt
(\partial)/(\partial x)((2pikt)/(ln(r/x)))	\frac{\partial\:}{\partial\:x}(\frac{2πkt}{\ln(\frac{r}{x})})
d/(dt)(t*sin(t))	\frac{d}{dt}(t\cdot\:\sin(t))
xy^2y^'=x+4	xy^{2}y^{\prime\:}=x+4
derivative of 3cot(x/8)	\frac{d}{dx}(3\cot(\frac{x}{8}))
integral of ze^{2z}	\int\:ze^{2z}dz
integral from 0 to 6 of x^3sqrt(x^2+36)	\int\:_{0}^{6}x^{3}\sqrt{x^{2}+36}dx
limit as x approaches-3-of ((x+2))/(x+3)	\lim\:_{x\to\:-3-}(\frac{(x+2)}{x+3})
x(e^{y/x}-1)y^'=e^{y/x}(y-x),y(1)=0	x(e^{\frac{y}{x}}-1)y^{\prime\:}=e^{\frac{y}{x}}(y-x),y(1)=0
derivative of (x^2+y^2ln(x+y))	\frac{d}{dx}((x^{2}+y^{2})\ln(x+y))
derivative of (sqrt(x)+3/(sqrt(x)-5))	\frac{d}{dx}(\frac{\sqrt{x}+3}{\sqrt{x}-5})
(\partial)/(\partial y)(1/2 ln(x^2+y^2))	\frac{\partial\:}{\partial\:y}(\frac{1}{2}\ln(x^{2}+y^{2}))
(\partial)/(\partial x)(e^{2x})	\frac{\partial\:}{\partial\:x}(e^{2x})
integral of (x^2+1)^5*x	\int\:(x^{2}+1)^{5}\cdot\:xdx
(d^3)/(dx^3)(ln(x))	\frac{d^{3}}{dx^{3}}(\ln(x))
derivative of 6/x-2/(x^3+1/(x^4))	\frac{d}{dx}(\frac{6}{x}-\frac{2}{x^{3}}+\frac{1}{x^{4}})
derivative of y=x^{-8cos(x)}	derivative\:y=x^{-8\cos(x)}
tangent of y=sin(t)+1/6 e^t,(pi, 1/6 e^pi)	tangent\:y=\sin(t)+\frac{1}{6}e^{t},(π,\frac{1}{6}e^{π})
derivative of y=x^4*x^5	\frac{d}{dx}y=x^{4}\cdot\:x^{5}
integral of ((x^2+1))/((x-8)(x-7)^2)	\int\:\frac{(x^{2}+1)}{(x-8)(x-7)^{2}}dx

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