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y^{''}+2y^'+5y=-2t+4t^2	y^{\prime\:\prime\:}+2y^{\prime\:}+5y=-2t+4t^{2}
derivative of 3/(x^3-1/(x^4))	\frac{d}{dx}(\frac{3}{x^{3}}-\frac{1}{x^{4}})
derivative of sqrt(((x^2-3x)/((2x+1))))	\frac{d}{dx}(\sqrt{\frac{(x^{2}-3x)}{(2x+1)}})
3y^{''}+y=0	3y^{\prime\:\prime\:}+y=0
integral from 0 to 1 of 2x*sqrt(1+4x^2)	\int\:_{0}^{1}2x\cdot\:\sqrt{1+4x^{2}}dx
integral of ((7-x))/((x^2-4x+4))	\int\:\frac{(7-x)}{(x^{2}-4x+4)}dx
integral of 5xcos(4x)	\int\:5x\cos(4x)dx
derivative of (cos(x)/(1-sin(x)))	\frac{d}{dx}(\frac{\cos(x)}{1-\sin(x)})
integral of sin^3(cos^2(x)	\int\:\sin^{3}(\cos^{2}(d)x)dx
integral of (14x^6y^{-4}-12x^5y^{-3})	\int\:(14x^{6}y^{-4}-12x^{5}y^{-3})dx
derivative of e^{arctan(3x^2)}	derivative\:e^{\arctan(3x^{2})}
(d^3)/(dx^3)(x/(x+1))	\frac{d^{3}}{dx^{3}}(\frac{x}{x+1})
(\partial ^2)/(\partial y^2)(y^5sin(3x))	\frac{\partial\:^{2}}{\partial\:y^{2}}(y^{5}\sin(3x))
maclaurin (e^x+e^{-x})/2	maclaurin\:\frac{e^{x}+e^{-x}}{2}
integral of 2x(x^2+7)^9	\int\:2x(x^{2}+7)^{9}dx
sum from n=1 to infinity of 1/(5n^2-n)	\sum\:_{n=1}^{\infty\:}\frac{1}{5n^{2}-n}
integral of (x+4)	\int\:(x+4)dx
integral of 9/(x(x^4+5))	\int\:\frac{9}{x(x^{4}+5)}dx
f(t)=2cos(t)+sin(2t)	f(t)=2\cos(t)+\sin(2t)
f(x)=sqrt(x^2-1)	f(x)=\sqrt{x^{2}-1}
simplify-3x^4-1/x+xsqrt(x)	simplify\:-3x^{4}-\frac{1}{x}+x\sqrt{x}
derivative of ln(x-7)	\frac{d}{dx}(\ln(x-7))
derivative of (10x+x^2)/((5+x)^2)	derivative\:\frac{10x+x^{2}}{(5+x)^{2}}
integral of e^xsqrt(2+e^x)	\int\:e^{x}\sqrt{2+e^{x}}dx
integral of (x^3)/((4x^2+9)^{3/2)}	\int\:\frac{x^{3}}{(4x^{2}+9)^{\frac{3}{2}}}dx
derivative of 1/(7-10e^x)	derivative\:\frac{1}{7-10e^{x}}
derivative of sqrt((ln(x+1)/(ln(x-1))))	\frac{d}{dx}(\sqrt{\frac{\ln(x+1)}{\ln(x-1)}})
derivative of x^2e^{-3x}	derivative\:x^{2}e^{-3x}
derivative of ln(e^x+1)	derivative\:\ln(e^{x}+1)
integral from 1 to 4 of 3x^2-1/x	\int\:_{1}^{4}3x^{2}-\frac{1}{x}dx
integral from 0 to x of sin(x)	\int\:_{0}^{x}\sin(x)dx
(\partial)/(\partial x)(2yx^2-3)	\frac{\partial\:}{\partial\:x}(2yx^{2}-3)
tangent of f(x)=x^2-3x+2	tangent\:f(x)=x^{2}-3x+2
integral from 0 to 1 of 7xe^{-x^2}	\int\:_{0}^{1}7xe^{-x^{2}}dx
(\partial)/(\partial x)(xy^2+7)	\frac{\partial\:}{\partial\:x}(xy^{2}+7)
derivative of (6x^4/(x^2-3))	\frac{d}{dx}(\frac{6x^{4}}{x^{2}-3})
derivative of f(x)=cos(2x)sin(5*x)	derivative\:f(x)=\cos(2\cdot\:x)\cdot\:\sin(5\cdot\:x)
derivative of (x^4-1/(x^4+1))	\frac{d}{dx}(\frac{x^{4}-1}{x^{4}+1})
derivative of (x^4-3x^2+5^3)	\frac{d}{dx}((x^{4}-3x^{2}+5)^{3})
sum from n=1 to infinity of n/((2n)!)	\sum\:_{n=1}^{\infty\:}\frac{n}{(2n)!}
derivative of f(x)=x^2-8x-8	derivative\:f(x)=x^{2}-8x-8
(\partial)/(\partial x)(x^6y^8-x^5y^7)	\frac{\partial\:}{\partial\:x}(x^{6}y^{8}-x^{5}y^{7})
limit as x approaches 0+of tan((3x)^x)	\lim\:_{x\to\:0+}(\tan((3x)^{x}))
derivative of 8pir^2	derivative\:8πr^{2}
integral of sin(6x)sin(2x)	\int\:\sin(6x)\sin(2x)dx
y^{''}+6y^'+8y=0	y^{\prime\:\prime\:}+6y^{\prime\:}+8y=0
integral of x^{-4}+x^{1/3}	\int\:x^{-4}+x^{\frac{1}{3}}dx
derivative of s(t)=3sqrt(t+1)	derivative\:s(t)=3\sqrt{t+1}
(\partial)/(\partial y)(x^2yz-xyz^3)	\frac{\partial\:}{\partial\:y}(x^{2}yz-xyz^{3})
d/(dy)(y/x)	\frac{d}{dy}(\frac{y}{x})
derivative of (2x^7+5x^3-1/4)	\frac{d}{dx}(\frac{2x^{7}+5x^{3}-1}{4})
integral from 0 to pi of (1+sin(x))	\int\:_{0}^{π}(1+\sin(x))dx
2y^{'''}+3y^{''}-23y^'-12y=0	2y^{\prime\:\prime\:\prime\:}+3y^{\prime\:\prime\:}-23y^{\prime\:}-12y=0
integral of xsin(10x)	\int\:x\sin(10x)dx
integral of 0.4t	\int\:0.4tdt
limit as x approaches 0 of x^2-4x+2	\lim\:_{x\to\:0}(x^{2}-4x+2)
integral of 4e^{2x}+3	\int\:4e^{2x}+3dx
(\partial)/(\partial x)(((xy))/((x-y)))	\frac{\partial\:}{\partial\:x}(\frac{(xy)}{(x-y)})
limit as x approaches 0 of x+ln(x)	\lim\:_{x\to\:0}(x+\ln(x))
y^{''}+2y^'+y=16e-t	y^{\prime\:\prime\:}+2y^{\prime\:}+y=16e-t
d/(dy)(ycos(xy))	\frac{d}{dy}(y\cos(xy))
sum from n=1 to infinity of 5*3^n	\sum\:_{n=1}^{\infty\:}5\cdot\:3^{n}
(\partial)/(\partial y)(-2sin(y)+xy^3)	\frac{\partial\:}{\partial\:y}(-2\sin(y)+xy^{3})
integral of 1/((225+x^2)^{3/2)}	\int\:\frac{1}{(225+x^{2})^{\frac{3}{2}}}dx
integral of e^x(3e^x-2)^2	\int\:e^{x}(3e^{x}-2)^{2}dx
derivative of ln(8x+7)	\frac{d}{dx}(\ln(8x+7))
integral of (20)/(e^{x/5)}	\int\:\frac{20}{e^{\frac{x}{5}}}dx
derivative of f(x)=(12-8x)/(5x^{2/5)}	derivative\:f(x)=\frac{12-8x}{5x^{\frac{2}{5}}}
integral of (sqrt(x^2-81))/x	\int\:\frac{\sqrt{x^{2}-81}}{x}dx
integral of ((x^2-1))/((x^2+1)(x-2))	\int\:\frac{(x^{2}-1)}{(x^{2}+1)(x-2)}dx
(\partial)/(\partial x)((5x-3y)/(5x+3y))	\frac{\partial\:}{\partial\:x}(\frac{5x-3y}{5x+3y})
integral of x^2cos(x^3)	\int\:x^{2}\cos(x^{3})dx
limit as x approaches 1 of-x^2+9x-7	\lim\:_{x\to\:1}(-x^{2}+9x-7)
(1+e^x)(dy)/(dx)+e^xy=0	(1+e^{x})\frac{dy}{dx}+e^{x}y=0
integral of (3x)/(x+2)	\int\:\frac{3x}{x+2}dx
y^'=0.05y+5500	y^{\prime\:}=0.05y+5500
limit as x approaches 0 of 1-(cos(3x))/x	\lim\:_{x\to\:0}(1-\frac{\cos(3x)}{x})
tangent of y=log_{2}(x),(32,5)	tangent\:y=\log_{2}(x),(32,5)
integral of (x^3+x)	\int\:(x^{3}+x)dx
integral of (18x^2+3)(6x^3+3x)^6	\int\:(18x^{2}+3)(6x^{3}+3x)^{6}dx
integral of (2x+1)/((x+1)^3*(x^2+4)^2)	\int\:\frac{2x+1}{(x+1)^{3}\cdot\:(x^{2}+4)^{2}}dx
slope of f(x)=4^x	slope\:f(x)=4^{x}
y=x^{4x}	y=x^{4x}
integral of xtanh^2(x)	\int\:x\tanh^{2}(x)dx
derivative of e^{-1/x}+4x	derivative\:e^{-\frac{1}{x}}+4x
derivative of f(x)=-(xsin((x^2)/4))/(2)	derivative\:f(x)=-\frac{x\sin(\frac{x^{2}}{4})}{2}
integral of e^xsqrt(11+e^x)	\int\:e^{x}\sqrt{11+e^{x}}dx
derivative of 104-80e^{-0.2t}	derivative\:104-80e^{-0.2t}
derivative of arcsin(2x+1)	derivative\:\arcsin(2x+1)
integral of e^{(-(x^2)/4)}	\int\:e^{(-\frac{x^{2}}{4})}dx
(dy)/(dt)= t/(y-2)	\frac{dy}{dt}=\frac{t}{y-2}
integral of cot(x)sqrt(csc(x))	\int\:\cot(x)\sqrt{\csc(x)}dx
derivative of x-8	\frac{d}{dx}(x-8)
integral of 2+x	\int\:2+xdx
tangent of y=-x^3,(-1,1)	tangent\:y=-x^{3},(-1,1)
derivative of y=(x+3)/(x^3+x-1)	derivative\:y=\frac{x+3}{x^{3}+x-1}
(\partial)/(\partial x)(sqrt(14-x^2-4xy))	\frac{\partial\:}{\partial\:x}(\sqrt{14-x^{2}-4xy})
integral of x^2sqrt(8x-7)	\int\:x^{2}\sqrt{8x-7}dx
integral from 1 to 5 of x/(e^x)	\int\:_{1}^{5}\frac{x}{e^{x}}dx
tangent of x^2-6x	tangent\:x^{2}-6x

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