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f^'(x)=x^3-5x^2+3	f^{\prime\:}(x)=x^{3}-5x^{2}+3
tangent of 256=4x^2+2xy-4y^3,(2,-4)	tangent\:256=4x^{2}+2xy-4y^{3},(2,-4)
integral of (cos(3x))/(sin(3x))	\int\:\frac{\cos(3x)}{\sin(3x)}dx
integral of (cos(2x))/(cos^2(x)sin^2(x))	\int\:\frac{\cos(2x)}{\cos^{2}(x)\sin^{2}(x)}dx
integral of 1/((u^2+a^2)^2)	\int\:\frac{1}{(u^{2}+a^{2})^{2}}du
sum from n=3 to infinity of ((-1)/2)^n	\sum\:_{n=3}^{\infty\:}(\frac{-1}{2})^{n}
y^{''}+10y^'+26y=0	y^{\prime\:\prime\:}+10y^{\prime\:}+26y=0
derivative of f(x)=x^2sqrt(9-x^2)	derivative\:f(x)=x^{2}\sqrt{9-x^{2}}
derivative of (sin(x/2-cos(x/2))^2)	\frac{d}{dx}((\sin(\frac{x}{2})-\cos(\frac{x}{2}))^{2})
area cos(x),sin(x),0, pi/2	area\:\cos(x),\sin(x),0,\frac{π}{2}
(dy)/(dx)=sqrt(10y)*e^{x+7}	\frac{dy}{dx}=\sqrt{10y}\cdot\:e^{x+7}
integral of (x+1)sqrt(3x+2)	\int\:(x+1)\sqrt{3x+2}dx
integral of 1/(-y^2)	\int\:\frac{1}{-y^{2}}dy
sum from n=1 to infinity of (6/7)^n	\sum\:_{n=1}^{\infty\:}(\frac{6}{7})^{n}
x^4+y^3sqrt(x^5+3)y^'=0	x^{4}+y^{3}\sqrt{x^{5}+3}y^{\prime\:}=0
integral from 0 to 8 of pi(sqrt(x-1))^2	\int\:_{0}^{8}π(\sqrt{x-1})^{2}dx
integral of (sin(x))^2x+(cos(x))^2x	\int\:(\sin(x))^{2}x+(\cos(x))^{2}xdx
limit as x approaches+0 of x^2tan(x)	\lim\:_{x\to\:+0}(x^{2}\tan(x))
x^2(d^2y)/(dx^2)+x*(dy)/(dx)-y=1	x^{2}\frac{d^{2}y}{dx^{2}}+x\cdot\:\frac{dy}{dx}-y=1
integral of y^2(9-y^3)^{2/3}	\int\:y^{2}(9-y^{3})^{\frac{2}{3}}dy
integral of 12(2x+7)(x+1)^2	\int\:12(2x+7)(x+1)^{2}dx
f(x)=2e^{2x}	f(x)=2e^{2x}
integral of 3/(\sqrt[3]{x^2)}	\int\:\frac{3}{\sqrt[3]{x^{2}}}dx
limit as x approaches 1-of (x-1)^2	\lim\:_{x\to\:1-}((x-1)^{2})
integral of x^2(1+2x^3)^5	\int\:x^{2}(1+2x^{3})^{5}dx
derivative of x^2(x+7^3)	\frac{d}{dx}(x^{2}(x+7)^{3})
integral of 1/(x^2(x^2+1))	\int\:\frac{1}{x^{2}(x^{2}+1)}dx
derivative of x/2-2/x	\frac{d}{dx}(\frac{x}{2}-\frac{2}{x})
derivative of sqrt((5+3x^5))	\frac{d}{dx}(\sqrt{(5+3x)^{5}})
limit as x approaches infinity of-3x+x	\lim\:_{x\to\:\infty\:}(-3x+x)
derivative of 4/5 x^{3/2}	\frac{d}{dx}(\frac{4}{5}x^{\frac{3}{2}})
integral of x^2sqrt(2+x)	\int\:x^{2}\sqrt{2+x}dx
derivative of ln((2x+1(x^2-2)))	\frac{d}{dx}(\ln((2x+1)(x^{2}-2)))
derivative of 1/(x^2+3x+2)	\frac{d}{dx}(\frac{1}{x^{2}+3x+2})
x(dy)/(dx)+2y=10x^2	x\frac{dy}{dx}+2y=10x^{2}
integral of (1+x^2)^2	\int\:(1+x^{2})^{2}dx
integral of (3-6x^3+4x^6)/(x^6)	\int\:\frac{3-6x^{3}+4x^{6}}{x^{6}}dx
derivative of f(x)=((6ln(x)))/x	derivative\:f(x)=\frac{(6\ln(x))}{x}
integral of e^{(-x)}	\int\:e^{(-x)}dx
derivative of 1/2 x^3	\frac{d}{dx}(\frac{1}{2}x^{3})
derivative of (x+1(x-1))	\frac{d}{dx}((x+1)(x-1))
derivative of 77sqrt(p+20)-360,\at 75	derivative\:77\sqrt{p+20}-360,\at\:75
derivative of arctan(3x+2)	\frac{d}{dx}(\arctan(3x+2))
tangent of 1/(5+2x)	tangent\:\frac{1}{5+2x}
derivative of f(t)=(5t+300)/(t^2+25)	derivative\:f(t)=\frac{5t+300}{t^{2}+25}
integral of (2e^{2x})/(e^{2x)+8e^x+15}	\int\:\frac{2e^{2x}}{e^{2x}+8e^{x}+15}dx
integral of 1/(x^2sqrt(x^2+5))	\int\:\frac{1}{x^{2}\sqrt{x^{2}+5}}dx
integral of sin(x)+9	\int\:\sin(x)+9dx
area y=x,y=5x,y=-x+2	area\:y=x,y=5x,y=-x+2
integral from 0 to 2 of x^3-x^2	\int\:_{0}^{2}x^{3}-x^{2}dx
integral of 5arctan(2y)	\int\:5\arctan(2y)dy
(\partial)/(\partial x)(ln(2+x^2+2y^2))	\frac{\partial\:}{\partial\:x}(\ln(2+x^{2}+2y^{2}))
integral of-1/4	\int\:-\frac{1}{4}dx
integral of t*sin(t^2)	\int\:t\cdot\:\sin(t^{2})dt
derivative of-sin(x-2)	\frac{d}{dx}(-\sin(x-2))
derivative of 8/(\sqrt[3]{x)}	derivative\:\frac{8}{\sqrt[3]{x}}
sum from n=0 to infinity of-6*(-1/3)^n	\sum\:_{n=0}^{\infty\:}-6\cdot\:(-\frac{1}{3})^{n}
derivative of x^3-11x^2+31x-21	\frac{d}{dx}(x^{3}-11x^{2}+31x-21)
(dy)/(dx)=(y^2-x^2)/(xy)	\frac{dy}{dx}=\frac{y^{2}-x^{2}}{xy}
integral of x^3ln(3x)	\int\:x^{3}\ln(3x)dx
derivative of-0.025x^2+8x	\frac{d}{dx}(-0.025x^{2}+8x)
integral of sin(ln(5x))	\int\:\sin(\ln(5x))dx
derivative of (x-5/(sqrt(x)-\sqrt{5)})	\frac{d}{dx}(\frac{x-5}{\sqrt{x}-\sqrt{5}})
(\partial)/(\partial x)(x^2y+1/y)	\frac{\partial\:}{\partial\:x}(x^{2}y+\frac{1}{y})
(\partial)/(\partial x)(e^{sqrt(x^2+y^2)})	\frac{\partial\:}{\partial\:x}(e^{\sqrt{x^{2}+y^{2}}})
derivative of (-x^2+2/((x^2+2)^2))	\frac{d}{dx}(\frac{-x^{2}+2}{(x^{2}+2)^{2}})
laplacetransform 5*i(t)	laplacetransform\:5\cdot\:i(t)
derivative of (x^{1/3}-4)/(x^{7/2)}	derivative\:\frac{x^{\frac{1}{3}}-4}{x^{\frac{7}{2}}}
y^{''}+10y^'+25y=-50e^{-5x}	y^{\prime\:\prime\:}+10y^{\prime\:}+25y=-50e^{-5x}
integral of (e^x)/((e^x-5)(e^x-11))	\int\:\frac{e^{x}}{(e^{x}-5)(e^{x}-11)}dx
integral from 2 to 6 of (x^2-7x+6)	\int\:_{2}^{6}(x^{2}-7x+6)dx
integral of (2p^3)/(e^p)	\int\:\frac{2p^{3}}{e^{p}}dp
integral of (sqrt(a-y))/(sqrt(y))	\int\:\frac{\sqrt{a-y}}{\sqrt{y}}dy
derivative of x^3+x	derivative\:x^{3}+x
integral of (x^2-1)/((x-3)(x-2)^2)	\int\:\frac{x^{2}-1}{(x-3)(x-2)^{2}}dx
derivative of (4x/(sqrt(x^2+2)))	\frac{d}{dx}(\frac{4x}{\sqrt{x^{2}+2}})
(\partial)/(\partial x)(xy-z^2)	\frac{\partial\:}{\partial\:x}(xy-z^{2})
integral of (8-((5^x))/2)	\int\:(8-\frac{(5^{x})}{2})dx
integral of (z(1-z))/((z+1)(z^2+1)^2)	\int\:\frac{z(1-z)}{(z+1)(z^{2}+1)^{2}}dz
integral of t^2sqrt(t^3-1)	\int\:t^{2}\sqrt{t^{3}-1}dt
integral from 0 to pi of sin(x)cos^2(x)	\int\:_{0}^{π}\sin(x)\cos^{2}(x)dx
derivative of f(x)=(x+2)/(7x^2e^x)	derivative\:f(x)=\frac{x+2}{7x^{2}e^{x}}
integral from 0 to t of e^xsin(t-x)	\int\:_{0}^{t}e^{x}\sin(t-x)dx
limit as x approaches 0+of ln(2x)	\lim\:_{x\to\:0+}(\ln(2x))
(dy)/(dt)+y=5sin(2t)	\frac{dy}{dt}+y=5\sin(2t)
derivative of-3x+1	\frac{d}{dx}(-3x+1)
derivative of ((1+e^x))/(1-e^x)	derivative\:\frac{(1+e^{x})}{1-e^{x}}
limit as x approaches-2 of (3x-8)^2	\lim\:_{x\to\:-2}((3x-8)^{2})
(2y+2yx)(dy)/(dx)=1-y^2	(2y+2yx)\frac{dy}{dx}=1-y^{2}
limit as x approaches 1-of sqrt(2x-2)-2	\lim\:_{x\to\:1-}(\sqrt{2x-2}-2)
derivative of xln\|x\|	\frac{d}{dx}(x\ln\left\|x\right\|)
(\partial)/(\partial x)(xe^{2y})	\frac{\partial\:}{\partial\:x}(xe^{2y})
y^{''}-5y^'=0	y^{\prime\:\prime\:}-5y^{\prime\:}=0
derivative of (sin(2x)/(1+cos(2x)))	\frac{d}{dx}(\frac{\sin(2x)}{1+\cos(2x)})
tangent of 3x^2-14x+5	tangent\:3x^{2}-14x+5
slope of 9/(x^2+2)	slope\:\frac{9}{x^{2}+2}
integral from 0 to 4 of x/(sqrt(x^2+9))	\int\:_{0}^{4}\frac{x}{\sqrt{x^{2}+9}}dx
integral from 2 to infinity of 2/(x^2-1)	\int\:_{2}^{\infty\:}\frac{2}{x^{2}-1}dx
limit as x approaches+0 of ln(x^2)	\lim\:_{x\to\:+0}(\ln(x^{2}))
inverse oflaplace (2s+1)/(2s^2+s+1)	inverselaplace\:\frac{2s+1}{2s^{2}+s+1}

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