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x=var('x')
%typeset_mode True
solve(1/(x-1)>2, x)
[[x>1\displaystyle x > 1, x<(32)\displaystyle x < \left(\frac{3}{2}\right)]]



x=var('x')
%typeset_mode True
solve((1/x)-(3/(2*(x+1)))>1, x)
[[x>(−2)\displaystyle x > \left(-2\right), x<(−1)\displaystyle x < \left(-1\right)], [x>0\displaystyle x > 0, x<(12)\displaystyle x < \left(\frac{1}{2}\right)]]


x, abs=var('x, abs')
%typeset_mode True
solve(((abs(2*x)-1))+(abs(x-2))==6, x,)
/projects/sage/sage-7.3/local/lib/python2.7/site-packages/smc_sagews/sage_server.py:968: DeprecationWarning: Substitution using function-call syntax and unnamed arguments is deprecated and will be removed from a future release of Sage; you can use named arguments instead, like EXPR(x=..., y=...) See http://trac.sagemath.org/5930 for details. exec compile(block+'\n', '', 'single') in namespace, locals
[x=3\displaystyle x = 3]

x=var('x')
%typeset_mode True
solve(sin(x)==cos(x), x)
[sin⁡(x)=cos⁡(x)\displaystyle \sin\left(x\right) = \cos\left(x\right)]

x=var('x')
integrate(x*e^((x)^2), x)
12 e(x2)\displaystyle \frac{1}{2} \, e^{\left(x^{2}\right)}


x=var('x')
integrate(ln(x)/x, x)
1/2*log(x)^2 


integral(sin(x)/x,x,0,0.8)
∫00.8sin⁡(x)x dx\displaystyle \int_{0}^{0.8} \frac{\sin\left(x\right)}{x}\,{d x}