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y^{''}+10y^'+25y=0	y^{\prime\:\prime\:}+10y^{\prime\:}+25y=0
(\partial)/(\partial x)(1,1,-2)	\frac{\partial\:}{\partial\:x}(1,1,-2)
derivative of x^{4/5}(x-3^2)	\frac{d}{dx}(x^{\frac{4}{5}}(x-3)^{2})
slope ofintercept (-4)(0.2)	slopeintercept\:(-4)(0.2)
integral of sec^8(2x)tan(2x)	\int\:\sec^{8}(2x)\tan(2x)dx
tangent of f(x)=(2x)/((x+1)^2),\at x=0	tangent\:f(x)=\frac{2x}{(x+1)^{2}},\at\:x=0
slope of (2.4)(6.6)	slope\:(2.4)(6.6)
derivative of 2x^3y	\frac{d}{dx}(2x^{3}y)
y^'=(x+y+3)^2	y^{\prime\:}=(x+y+3)^{2}
integral of 1/(sqrt(x-3))	\int\:\frac{1}{\sqrt{x-3}}dx
area y=12-x,y=sqrt(x),y=1	area\:y=12-x,y=\sqrt{x},y=1
(\partial)/(\partial x)(ln(x+2y))	\frac{\partial\:}{\partial\:x}(\ln(x+2y))
derivative of e^tcos(6t)	derivative\:e^{t}\cos(6t)
integral from-3 to 1 of 2e^x	\int\:_{-3}^{1}2e^{x}dx
limit as x approaches infinity of 0.7x^2	\lim\:_{x\to\:\infty\:}(0.7x^{2})
(\partial)/(\partial x)(x^a(y/x)^{1-a})	\frac{\partial\:}{\partial\:x}(x^{a}(\frac{y}{x})^{1-a})
(\partial)/(\partial y)(ln(y)+2xy^3)	\frac{\partial\:}{\partial\:y}(\ln(y)+2xy^{3})
sum from n=0 to infinity of n!x^n	\sum\:_{n=0}^{\infty\:}n!x^{n}
integral of 2sin(t)cos(t)e^{-cos(t)}	\int\:2\sin(t)\cos(t)e^{-\cos(t)}dt
derivative of y=x^4+3e^x	derivative\:y=x^{4}+3e^{x}
derivative of tan(sqrt(x)+1)	derivative\:\tan(\sqrt{x}+1)
derivative of ln(3+x)	\frac{d}{dx}(\ln(3+x))
(\partial)/(\partial x)(e^{xyz}+xyz)	\frac{\partial\:}{\partial\:x}(e^{xyz}+xyz)
derivative of (3sqrt(x)+4x^2)	\frac{d}{dx}((3\sqrt{x}+4)x^{2})
integral of 1/(n^2+1)	\int\:\frac{1}{n^{2}+1}
integral of xcos(xy)	\int\:x\cos(xy)dy
derivative of ln(4x^2+1)	\frac{d}{dx}(\ln(4x^{2}+1))
derivative of 1000(1-e^{-0.15x})	\frac{d}{dx}(1000(1-e^{-0.15x}))
derivative of 3^xlog_{3}(x)	derivative\:3^{x}\log_{3}(x)
integral of 1/(sqrt(x-x^2))	\int\:\frac{1}{\sqrt{x-x^{2}}}dx
area 9-x^2,-8x	area\:9-x^{2},-8x
integral of 5^x+6sinh(x)	\int\:5^{x}+6\sinh(x)dx
derivative of x/(x+5)	\frac{d}{dx}(\frac{x}{x+5})
((1-x^2)dy)/(dx)=xe^y	\frac{(1-x^{2})dy}{dx}=xe^{y}
derivative of (2x-9)^4(x^2+x+1)^5	derivative\:(2x-9)^{4}(x^{2}+x+1)^{5}
(\partial)/(\partial x)(3y^2+x^2)	\frac{\partial\:}{\partial\:x}(3y^{2}+x^{2})
integral of x(2x+1)^7	\int\:x(2x+1)^{7}dx
(dy)/(dx)=x(4-y)	\frac{dy}{dx}=x(4-y)
integral of x^2+2x	\int\:x^{2}+2xdx
derivative of 1/((x+4^2))	\frac{d}{dx}(\frac{1}{(x+4)^{2}})
derivative of sin(sqrt(2)x)	\frac{d}{dx}(\sin(\sqrt{2})x)
sum from n=0 to infinity of (ln(3))^n	\sum\:_{n=0}^{\infty\:}(\ln(3))^{n}
integral of 1/((x-9)(x^2+16))	\int\:\frac{1}{(x-9)(x^{2}+16)}dx
derivative of (x^2+5/(x-2))	\frac{d}{dx}(\frac{x^{2}+5}{x-2})
derivative of (6-2x^2)^3	derivative\:(6-2x^{2})^{3}
sum from n=0 to infinity of n(3/5)^n	\sum\:_{n=0}^{\infty\:}n(\frac{3}{5})^{n}
25x^2y^{''}+25xy^'+y=0	25x^{2}y^{\prime\:\prime\:}+25xy^{\prime\:}+y=0
limit as x approaches infinity of x^x	\lim\:_{x\to\:\infty\:}(x^{x})
integral from 7 to 12 of ln(x^3)	\int\:_{7}^{12}\ln(x^{3})dx
derivative of (-8x-2)/(9x-4)	derivative\:\frac{-8x-2}{9x-4}
derivative of xe^{-t}	\frac{d}{dx}(xe^{-t})
(\partial)/(\partial x)(4x^3+y)	\frac{\partial\:}{\partial\:x}(4x^{3}+y)
derivative of 5tan(5x)	derivative\:5\tan(5x)
integral of 2/(sec(x)sin^3(x))	\int\:\frac{2}{\sec(x)\sin^{3}(x)}dx
derivative of 4sqrt(4-x)	\frac{d}{dx}(4\sqrt{4-x})
tangent of f(x)=sqrt(-x^2+25),\at x=-4	tangent\:f(x)=\sqrt{-x^{2}+25},\at\:x=-4
derivative of (10x+1)/(x+100)	derivative\:\frac{10x+1}{x+100}
derivative of 7^{x^7}	derivative\:7^{x^{7}}
limit as x approaches-1 of-sqrt(x^2+3)	\lim\:_{x\to\:-1}(-\sqrt{x^{2}+3})
(dy)/(dt)-3y=te^{2t}	\frac{dy}{dt}-3y=te^{2t}
integral of x/((a^2+x^2)^{3/2)}	\int\:\frac{x}{(a^{2}+x^{2})^{\frac{3}{2}}}dx
(\partial)/(\partial y)(x^{yz})	\frac{\partial\:}{\partial\:y}(x^{yz})
(\partial)/(\partial x)(ln(9x^2+4y^2+5))	\frac{\partial\:}{\partial\:x}(\ln(9x^{2}+4y^{2}+5))
(\partial)/(\partial y)(x^3-2xy+15)	\frac{\partial\:}{\partial\:y}(x^{3}-2xy+15)
integral of xarcsec(2x)	\int\:x\arcsec(2x)dx
integral of 1/(e^{-v)+1}	\int\:\frac{1}{e^{-v}+1}dv
integral of x^3*sin(2x)	\int\:x^{3}\cdot\:\sin(2x)dx
derivative of y= 5/(x^4)-7/x	derivative\:y=\frac{5}{x^{4}}-\frac{7}{x}
inverse oflaplace (3s)/((s-1)(s^2+1))	inverselaplace\:\frac{3s}{(s-1)(s^{2}+1)}
limit as x approaches infinity of 2x-2	\lim\:_{x\to\:\infty\:}(2x-2)
inverse oflaplace 1/(4s+1)	inverselaplace\:\frac{1}{4s+1}
y^'+2y=6,y(0)=0	y^{\prime\:}+2y=6,y(0)=0
slope of (2.5)(1.1)	slope\:(2.5)(1.1)
integral of ((x^2+x+1))/((x^2+1)^2)	\int\:\frac{(x^{2}+x+1)}{(x^{2}+1)^{2}}dx
limit as x approaches-1 of x^3-2x^2+3x-1	\lim\:_{x\to\:-1}(x^{3}-2x^{2}+3x-1)
derivative of 25in(x^2-x^2)	\frac{d}{dx}(25in(x^{2})-x^{2})
integral from a to x of 1/(b-a)	\int\:_{a}^{x}\frac{1}{b-a}dx
derivative of (x^2+1)/(\|x\|-1)	derivative\:\frac{x^{2}+1}{\left\|x\right\|-1}
derivative of (cos(2x+x^3)/(tan(2x)-3x))	\frac{d}{dx}(\frac{\cos(2x)+x^{3}}{\tan(2x)-3x})
y^'+4y=5x	y^{\prime\:}+4y=5x
derivative of-(4x/((x^2-1)^2))	\frac{d}{dx}(-\frac{4x}{(x^{2}-1)^{2}})
derivative of x^2-x-6	\frac{d}{dx}(x^{2}-x-6)
limit as x approaches 2-of (x+5)/(x-2)	\lim\:_{x\to\:2-}(\frac{x+5}{x-2})
inverse oflaplace-1/s	inverselaplace\:-\frac{1}{s}
inverse oflaplace-(e^{-pis})/(s^2+1)	inverselaplace\:-\frac{e^{-πs}}{s^{2}+1}
slope of (1950,38300),(2000,82500)	slope\:(1950,38300),(2000,82500)
integral of 7sin(t)	\int\:7\sin(t)dt
f^'(x)=x^2-5	f^{\prime\:}(x)=x^{2}-5
integral of sqrt(x)sin(x)	\int\:\sqrt{x}\sin(x)dx
integral of 1/(3x^2+6x+78)	\int\:\frac{1}{3x^{2}+6x+78}dx
integral of e^{4x}cos(7x)	\int\:e^{4x}\cos(7x)dx
(\partial)/(\partial x)(2/(xz-z^4+x^2))	\frac{\partial\:}{\partial\:x}(\frac{2}{xz-z^{4}+x^{2}})
t^2(dy)/(dt)+y=0,y(6)=-3,t>0	t^{2}\frac{dy}{dt}+y=0,y(6)=-3,t>0
limit as x approaches 3+of 3ln(x-2)	\lim\:_{x\to\:3+}(3\ln(x-2))
integral of cos(3x^2+5)x	\int\:\cos(3x^{2}+5)xdx
tangent of f(x)=x^4,(-2,16)	tangent\:f(x)=x^{4},(-2,16)
integral of 7x(e^{6x^2}-1)	\int\:7x(e^{6x^{2}}-1)dx
derivative of sqrt(10000-40x-0.02x^2)	\frac{d}{dx}(\sqrt{10000-40x-0.02x^{2}})
integral of (3x^2+14x+13)/(x+4)	\int\:\frac{3x^{2}+14x+13}{x+4}dx
integral of 1/((xsqrt(x-1)))	\int\:\frac{1}{(x\sqrt{x-1})}dx

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