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((f(t))/(g(t)))'	(\frac{f(t)}{g(t)})\prime\:
derivative of sqrt(x)e^{x^2}(x^2+1^{10})	\frac{d}{dx}(\sqrt{x}e^{x^{2}}(x^{2}+1)^{10})
x(dy)/(dx)=2x^2+y,y(1)=3	x\frac{dy}{dx}=2x^{2}+y,y(1)=3
sum from n=2 to infinity of 1/(n^2+5n+6)	\sum\:_{n=2}^{\infty\:}\frac{1}{n^{2}+5n+6}
sum from n=1 to infinity of (5n)/(3n-1)	\sum\:_{n=1}^{\infty\:}\frac{5n}{3n-1}
derivative of-(2x/(x-1))	\frac{d}{dx}(-\frac{2x}{x-1})
derivative of f(x)=7(2-3x)^4	derivative\:f(x)=7(2-3x)^{4}
integral of ((x^{am}-x^n))/(sqrt(x))	\int\:\frac{(x^{am}-x^{n})}{\sqrt{x}}dx
y^'+3y=2xe^{-3x}	y^{\prime\:}+3y=2xe^{-3x}
integral of 11^x	\int\:11^{x}dx
limit as x approaches 0-of (x^2)/5-7/x	\lim\:_{x\to\:0-}(\frac{x^{2}}{5}-\frac{7}{x})
d/(dt)(1/(12sqrt(t)))	\frac{d}{dt}(\frac{1}{12\sqrt{t}})
integral of (3xsqrt(2x^2+9))/5	\int\:\frac{3x\sqrt{2x^{2}+9}}{5}dx
integral from 0 to 7 of sqrt(y+9)	\int\:_{0}^{7}\sqrt{y+9}dy
tangent of f(x)=2sin(x),\at x= pi/6	tangent\:f(x)=2\sin(x),\at\:x=\frac{π}{6}
area y=sqrt(x),y= 1/2 x,x=9	area\:y=\sqrt{x},y=\frac{1}{2}x,x=9
integral of cos^3(x/(14))	\int\:\cos^{3}(\frac{x}{14})dx
(\partial)/(\partial x)(e^{5xyz-6})	\frac{\partial\:}{\partial\:x}(e^{5xyz-6})
integral of 1+3x^2y^2	\int\:1+3x^{2}y^{2}dy
derivative of-12	\frac{d}{dx}(-12)
(d^2)/(dx^2)((4x+3)(2x^2+7x-1))	\frac{d^{2}}{dx^{2}}((4x+3)(2x^{2}+7x-1))
taylor e^{(-x^2)/2}	taylor\:e^{\frac{-x^{2}}{2}}
integral of cosh(5x+ln(6))	\int\:\cosh(5x+\ln(6))dx
integral of (3cos(1/2 x))	\int\:(3\cos(\frac{1}{2}x))dx
slope of (-3)(0.15)	slope\:(-3)(0.15)
integral of 3((cos(x)+sin(x))/(sin(2x)))	\int\:3(\frac{\cos(x)+\sin(x)}{\sin(2x)})dx
integral from 2 to 6 of 4+2x^2	\int\:_{2}^{6}4+2x^{2}dx
integral of (10+x)^{-2}	\int\:(10+x)^{-2}dx
integral of (2x^4-x)/(x^3)	\int\:\frac{2x^{4}-x}{x^{3}}dx
integral of (x+7)^7(x+8)	\int\:(x+7)^{7}(x+8)dx
derivative of f(x)=(3x^2-x+1)/x	derivative\:f(x)=\frac{3x^{2}-x+1}{x}
derivative of 4^{ln(x})	\frac{d}{dx}(4^{\ln(x)})
integral from 0 to 1 of 2pix(15-15x)	\int\:_{0}^{1}2πx(15-15x)dx
integral of (x^4-\sqrt[3]{x})/(6sqrt(x))	\int\:\frac{x^{4}-\sqrt[3]{x}}{6\sqrt{x}}dx
integral of 1/x ln(x)	\int\:\frac{1}{x}\ln(x)dx
integral of-(t-6)^2	\int\:-(t-6)^{2}dt
d/(dy)(x^{0.5}y^{0.5})	\frac{d}{dy}(x^{0.5}y^{0.5})
derivative of x^{7/9}	derivative\:x^{\frac{7}{9}}
tangent of f(x)=x^2-7,\at x=2	tangent\:f(x)=x^{2}-7,\at\:x=2
(dx)/(dt)=0.9x(1900-x)	\frac{dx}{dt}=0.9x(1900-x)
limit as x approaches 2-of (x^2)/(x^2+4)	\lim\:_{x\to\:2-}(\frac{x^{2}}{x^{2}+4})
(dy)/(dx)+y/x =9x^5y^2	\frac{dy}{dx}+\frac{y}{x}=9x^{5}y^{2}
d/(dθ)(1+2sin(θ))	\frac{d}{dθ}(1+2\sin(θ))
derivative of sin(6x^2)	\frac{d}{dx}(\sin(6x^{2}))
integral of-(e^{-2x}*(5+2x-2y^2))	\int\:-(e^{-2x}\cdot\:(5+2x-2y^{2}))dx
4xy^'-4y=7x^4	4xy^{\prime\:}-4y=7x^{4}
integral of tan^6(x)sec^2(x)	\int\:\tan^{6}(x)\sec^{2}(x)dx
derivative of x^4+6x	derivative\:x^{4}+6x
f(x)=e^xsin(x)	f(x)=e^{x}\sin(x)
derivative of x^2sqrt(x^2+1)	\frac{d}{dx}(x^{2}\sqrt{x^{2}+1})
limit as x approaches 0-of \|(5x)/x \|	\lim\:_{x\to\:0-}(\left\|\frac{5x}{x}\right\|)
integral of ysin(y)	\int\:y\sin(y)dy
integral of 1/((x^2-4x)^{3/2)}	\int\:\frac{1}{(x^{2}-4x)^{\frac{3}{2}}}dx
integral of (4x^2)/(sqrt(25-x^2))	\int\:\frac{4x^{2}}{\sqrt{25-x^{2}}}dx
integral of ((sin(31x))/(1+cos^2(31x)))	\int\:(\frac{\sin(31x)}{1+\cos^{2}(31x)})dx
integral of 6x^5(x^3-3)^6	\int\:6x^{5}(x^{3}-3)^{6}dx
derivative of e^{t+7}	derivative\:e^{t+7}
limit as x approaches-7+of (-6x)/(x+7)	\lim\:_{x\to\:-7+}(\frac{-6x}{x+7})
derivative of f(θ)=sqrt(3θ)	derivative\:f(θ)=\sqrt{3θ}
integral of sqrt(9-4x^2)	\int\:\sqrt{9-4x^{2}}dx
d/(d{x)}((8{x)/y {z}}{({x}^2+1)^2})	\frac{d}{d{x}}(\frac{8{x}{y}{z}}{({x}^{2}+1)^{2}})
integral of x^3-3x^2-x+3	\int\:x^{3}-3x^{2}-x+3dx
(\partial)/(\partial y)(3)	\frac{\partial\:}{\partial\:y}(3)
integral of sin^2(6x)	\int\:\sin^{2}(6x)dx
(\partial)/(\partial y)(ycos(yz))	\frac{\partial\:}{\partial\:y}(y\cos(yz))
derivative of x^3+3x^2-2	\frac{d}{dx}(x^{3}+3x^{2}-2)
y^'=(1+x)(1+y)	y^{\prime\:}=(1+x)(1+y)
limit as x approaches 0 of ((5e^x-5))/x	\lim\:_{x\to\:0}(\frac{(5e^{x}-5)}{x})
(\partial)/(\partial y)(x^2-3y^2+7)	\frac{\partial\:}{\partial\:y}(x^{2}-3y^{2}+7)
integral of ((x+1))/((x-1))	\int\:\frac{(x+1)}{(x-1)}dx
limit as x approaches 1+of 2	\lim\:_{x\to\:1+}(2)
tangent of f(x)=sqrt(x),(16,4)	tangent\:f(x)=\sqrt{x},(16,4)
limit as x approaches 5 of 2x^2-5x+3	\lim\:_{x\to\:5}(2x^{2}-5x+3)
derivative of y=sqrt(x+8)	derivative\:y=\sqrt{x+8}
derivative of (-4x/(x^2+1))	\frac{d}{dx}(\frac{-4x}{x^{2}+1})
derivative of f(x)=(x^3-3x^2+4)/(x^2)	derivative\:f(x)=\frac{x^{3}-3x^{2}+4}{x^{2}}
area 5-x^2,sin(x),-2.38468,2.02521	area\:5-x^{2},\sin(x),-2.38468,2.02521
laplacetransform 7e^{3t}-8e^{-t}+3	laplacetransform\:7e^{3t}-8e^{-t}+3
integral of tan^{-3}(x)sec^4(x)	\int\:\tan^{-3}(x)\sec^{4}(x)dx
integral from-10 to x of sqrt(t^2+11)	\int\:_{-10}^{x}\sqrt{t^{2}+11}dt
tangent of f(x)= 8/x ,\at x=1	tangent\:f(x)=\frac{8}{x},\at\:x=1
(\partial}{\partial x}(sin(\frac{5x)/y))	\frac{\partial\:}{\partial\:x}(\sin(\frac{5x}{y}))
(\partial)/(\partial x)((3xy-1)e^{-xy})	\frac{\partial\:}{\partial\:x}((3xy-1)e^{-xy})
integral of 2/(3x+1)	\int\:\frac{2}{3x+1}dx
integral from 4 to 8 of ln(x^2)	\int\:_{4}^{8}\ln(x^{2})dx
integral from 0 to pi/3 of xsec^2(x)	\int\:_{0}^{\frac{π}{3}}x\sec^{2}(x)dx
area 2x,x^2	area\:2x,x^{2}
integral of (2x+y+z)/((x+y)(x+z))	\int\:\frac{2x+y+z}{(x+y)(x+z)}dx
tangent of 8x^2-7x,\at 9	tangent\:8x^{2}-7x,\at\:9
y^3-(6x+8)+3xy^2y^'=0	y^{3}-(6x+8)+3xy^{2}y^{\prime\:}=0
4y^{''}+4y^'+1y=0,y(2)=-6,y^'(2)=4	4y^{\prime\:\prime\:}+4y^{\prime\:}+1y=0,y(2)=-6,y^{\prime\:}(2)=4
integral from 3 to 6 of x/(sqrt(x-3))	\int\:_{3}^{6}\frac{x}{\sqrt{x-3}}dx
limit as k approaches infinity of 1/k	\lim\:_{k\to\:\infty\:}(\frac{1}{k})
integral of (sin(x)cos(x))^2	\int\:(\sin(x)\cos(x))^{2}dx
derivative of-2x^2-5	\frac{d}{dx}(-2x^{2}-5)
area y=x^2-2,y=2	area\:y=x^{2}-2,y=2
implicit 2x^2+y^2=9	implicit\:2x^{2}+y^{2}=9
derivative of 5t^2ln(t)	derivative\:5t^{2}\ln(t)
area e^x,e^{-4x},ln(3)	area\:e^{x},e^{-4x},\ln(3)
derivative of f(x)=7e^x+x	derivative\:f(x)=7e^{x}+x

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