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y^'=sin(5x)	y^{\prime\:}=\sin(5x)
h^'=-h^{1/3}	h^{\prime\:}=-h^{\frac{1}{3}}
(dy)/(dt)+e^ty=23e^t	\frac{dy}{dt}+e^{t}y=23e^{t}
integral of (ln(x^{25}))/x	\int\:\frac{\ln(x^{25})}{x}dx
(\partial)/(\partial y)(x^5+2^y+x^y)	\frac{\partial\:}{\partial\:y}(x^{5}+2^{y}+x^{y})
(dy)/(dx)=2x(1+y^2)	\frac{dy}{dx}=2x(1+y^{2})
limit as x approaches 2-of x+2	\lim\:_{x\to\:2-}(x+2)
derivative of ln(x+1-1/(x+1))	\frac{d}{dx}(\ln(x+1)-\frac{1}{x+1})
integral of 1/(5+x)	\int\:\frac{1}{5+x}dx
sin(2x)dx+cos(5y)dy=0,y(pi/2)= pi/5	\sin(2x)dx+\cos(5y)dy=0,y(\frac{π}{2})=\frac{π}{5}
y^{''''}+20y^{''}+100y=0	y^{\prime\:\prime\:\prime\:\prime\:}+20y^{\prime\:\prime\:}+100y=0
derivative of 10x(x^2+3^4)	\frac{d}{dx}(10x(x^{2}+3)^{4})
derivative of-46xsin(x^2)	derivative\:-46x\sin(x^{2})
y^'=e^{5x+3y}	y^{\prime\:}=e^{5x+3y}
f(t)=cos^3(t)	f(t)=\cos^{3}(t)
y^{''}-y^'-2y=e^{3x}sin(2x)	y^{\prime\:\prime\:}-y^{\prime\:}-2y=e^{3x}\sin(2x)
y^{''}+y=tan(t)+e^{3t}-1	y^{\prime\:\prime\:}+y=\tan(t)+e^{3t}-1
(\partial)/(\partial u)(u/v)	\frac{\partial\:}{\partial\:u}(\frac{u}{v})
(\partial)/(\partial y)(y^2-2ycos(x))	\frac{\partial\:}{\partial\:y}(y^{2}-2y\cos(x))
derivative of ln(xe^{7x})	derivative\:\ln(xe^{7x})
derivative of f(x)=(32)/x	derivative\:f(x)=\frac{32}{x}
(\partial)/(\partial x)(4pi^2 x/(y^2))	\frac{\partial\:}{\partial\:x}(4π^{2}\frac{x}{y^{2}})
area x^2-4x+3,2x^2+2x+3,-6,0	area\:x^{2}-4x+3,2x^{2}+2x+3,-6,0
integral of 1/(1-25x^2)	\int\:\frac{1}{1-25x^{2}}dx
derivative of (-5/(\sqrt[4]{x^3)})	\frac{d}{dx}(\frac{-5}{\sqrt[4]{x^{3}}})
inverse oflaplace (5s+5)/(s(s^2+6s+10))	inverselaplace\:\frac{5s+5}{s(s^{2}+6s+10)}
slope ofintercept (3,1),(1,-3)	slopeintercept\:(3,1),(1,-3)
derivative of f(x)=ln(x^6)	derivative\:f(x)=\ln(x^{6})
limit as x approaches-1 of-2/((x+1)^2)	\lim\:_{x\to\:-1}(-\frac{2}{(x+1)^{2}})
derivative of 3e^{x^5}	\frac{d}{dx}(3e^{x^{5}})
integral of 5xsec(x)tan(x)	\int\:5x\sec(x)\tan(x)dx
d/(dy)(x-y)	\frac{d}{dy}(x-y)
inverse oflaplace 2/(s+1)+(24s)/(s^2+9)	inverselaplace\:\frac{2}{s+1}+\frac{24s}{s^{2}+9}
f^{''}(x)=4,f^'(2)=10,f(2)=15	f^{\prime\:\prime\:}(x)=4,f^{\prime\:}(2)=10,f(2)=15
(\partial)/(\partial x)(rt)	\frac{\partial\:}{\partial\:x}(rt)
tangent of x^2+xy+2y^2=8,(-2,-1)	tangent\:x^{2}+xy+2y^{2}=8,(-2,-1)
integral of 4sqrt(x)-xsqrt(x)	\int\:4\sqrt{x}-x\sqrt{x}dx
derivative of 9/(4-x)	\frac{d}{dx}(\frac{9}{4-x})
tangent of f(x)=sqrt(3x^3),\at x=3	tangent\:f(x)=\sqrt{3x^{3}},\at\:x=3
(\partial)/(\partial x)(x^2e^y+x-2y)	\frac{\partial\:}{\partial\:x}(x^{2}e^{y}+x-2y)
integral of (x^2+2x+1)/(x^3+x)	\int\:\frac{x^{2}+2x+1}{x^{3}+x}dx
(dy)/(dx)=e^{y-x^2+1}	\frac{dy}{dx}=e^{y-x^{2}+1}
integral of sqrt(169-t^2)	\int\:\sqrt{169-t^{2}}dt
x(dy)/(dx)+y=6x+1	x\frac{dy}{dx}+y=6x+1
integral of 1/((x-4)^7)	\int\:\frac{1}{(x-4)^{7}}dx
integral of (x+11)/(x^2+4x+8)	\int\:\frac{x+11}{x^{2}+4x+8}dx
sum from n=1 to infinity of 1/(4n+2)	\sum\:_{n=1}^{\infty\:}\frac{1}{4n+2}
7yln(x)-xy^'=0	7y\ln(x)-xy^{\prime\:}=0
derivative of x/(4-x^2)	\frac{d}{dx}(\frac{x}{4-x^{2}})
derivative of g(u)=sqrt(3)u+sqrt(5u)	derivative\:g(u)=\sqrt{3}u+\sqrt{5u}
tangent of f(x)=15e^x+11x,\at x=0	tangent\:f(x)=15e^{x}+11x,\at\:x=0
integral of cos^2(4x)sin(4x)	\int\:\cos^{2}(4x)\sin(4x)dx
integral of a/(x^{a+1)}	\int\:\frac{a}{x^{a+1}}dx
(\partial)/(\partial x)(x^2+y^2-2)	\frac{\partial\:}{\partial\:x}(x^{2}+y^{2}-2)
integral of 1/(x^2sqrt(x^2-4))	\int\:\frac{1}{x^{2}\sqrt{x^{2}-4}}dx
integral of 2/(x(x^4+25)^{1/2)}	\int\:\frac{2}{x(x^{4}+25)^{\frac{1}{2}}}dx
limit as h approaches 2 of (h^3+8)/(h+2)	\lim\:_{h\to\:2}(\frac{h^{3}+8}{h+2})
derivative of y= 1/(\sqrt[5]{2x-1)}	derivative\:y=\frac{1}{\sqrt[5]{2x-1}}
integral of 4sqrt(3-2x-x^2)	\int\:4\sqrt{3-2x-x^{2}}dx
integral of (x+1)sin(nx)	\int\:(x+1)\sin(nx)dx
derivative of e^{-(x/(200)^{3.2}})	\frac{d}{dx}(e^{-(\frac{x}{200})^{3.2}})
integral of tan(4x+2)	\int\:\tan(4x+2)dx
derivative of t/((1-t^2)^{3/2)}	derivative\:\frac{t}{(1-t^{2})^{\frac{3}{2}}}
(2y-3x)(dy)/(dx)=3y-4x	(2y-3x)\frac{dy}{dx}=3y-4x
integral from-infinity to 0 of e^{-\|x\|}	\int\:_{-\infty\:}^{0}e^{-\left\|x\right\|}dx
(\partial)/(\partial y)(xe^{2yx})	\frac{\partial\:}{\partial\:y}(xe^{2yx})
(\partial)/(\partial y)(2+xln(xy-5))	\frac{\partial\:}{\partial\:y}(2+x\ln(xy-5))
integral of 1/(sqrt(x^2-8x-12))	\int\:\frac{1}{\sqrt{x^{2}-8x-12}}dx
y^{''}+2y^'+y=x^{-6}e^{-x}	y^{\prime\:\prime\:}+2y^{\prime\:}+y=x^{-6}e^{-x}
integral of (x+2)/(x^2+3x-4)	\int\:\frac{x+2}{x^{2}+3x-4}dx
(\partial)/(\partial x)(4/(sqrt(36-x^2)))	\frac{\partial\:}{\partial\:x}(\frac{4}{\sqrt{36-x^{2}}})
slope of (2)(-3.1)	slope\:(2)(-3.1)
integral of cos^7(8-x)sin(8-x)	\int\:\cos^{7}(8-x)\sin(8-x)dx
y^'-4y=9e^{7t}	y^{\prime\:}-4y=9e^{7t}
integral of tan^2(8x)sec^4(8x)	\int\:\tan^{2}(8x)\sec^{4}(8x)dx
integral of y^2sqrt(4y^2+1)	\int\:y^{2}\sqrt{4y^{2}+1}dy
integral from 0 to 1 of sqrt(x)-x	\int\:_{0}^{1}\sqrt{x}-xdx
(dx)/(dt)=sin(2pi(t+3)),x(3)=1	\frac{dx}{dt}=\sin(2π(t+3)),x(3)=1
derivative of cos(2pi(1-x))	\frac{d}{dx}(\cos(2π(1-x)))
tangent of y=2x^2,(6,10)	tangent\:y=2x^{2},(6,10)
y^{''}+2y^'-15y=0	y^{\prime\:\prime\:}+2y^{\prime\:}-15y=0
derivative of ((1-2x)^3)/(x^3)	derivative\:\frac{(1-2x)^{3}}{x^{3}}
derivative of-x^2-2x	\frac{d}{dx}(-x^{2}-2x)
f(x)=x^{ln(x)}	f(x)=x^{\ln(x)}
integral of 12x^2-7x+5	\int\:12x^{2}-7x+5dx
integral of t/(t^4+81)	\int\:\frac{t}{t^{4}+81}dt
derivative of f(x)= 1/(1+x)	derivative\:f(x)=\frac{1}{1+x}
4y^{''}-5y^'=0	4y^{\prime\:\prime\:}-5y^{\prime\:}=0
area 1/(xsqrt(x^2-1)),x= 2/(sqrt(2)),x=2	area\:\frac{1}{x\sqrt{x^{2}-1}},x=\frac{2}{\sqrt{2}},x=2
(5/x)^'	(\frac{5}{x})^{\prime\:}
integral of sin(3x)ln(cos(3x))	\int\:\sin(3x)\ln(\cos(3x))dx
derivative of (4x^2+2x-5(x^3+7x+4))	\frac{d}{dx}((4x^{2}+2x-5)(x^{3}+7x+4))
limit as x approaches 1 of x/(x^2-x)	\lim\:_{x\to\:1}(\frac{x}{x^{2}-x})
derivative of (4u^2)/((u^2+u)^3)	derivative\:\frac{4u^{2}}{(u^{2}+u)^{3}}
derivative of f(x)=acos(2x)+bsin(2x)	derivative\:f(x)=a\cos(2x)+b\sin(2x)
(\partial)/(\partial y)(x^3e^{-2y})	\frac{\partial\:}{\partial\:y}(x^{3}e^{-2y})
integral of (900)/((2q-5)^2)	\int\:\frac{900}{(2q-5)^{2}}dq
derivative of 5/3 x^2	\frac{d}{dx}(\frac{5}{3}x^{2})
limit as x approaches 0 of x*sin(x)	\lim\:_{x\to\:0}(x\cdot\:\sin(x))
integral from 1 to infinity of 15e^{-5x}	\int\:_{1}^{\infty\:}15e^{-5x}dx

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