Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
12401	Simplify	1/(x^2)+3	$\frac{1}{x^{2}} + 3$
12402	Simplify	1/(x^2-4)+2	$\frac{1}{x^{2} - 4} + 2$
12403	Simplify	1/(1+i)-1/(1-i)	$\frac{1}{1 + i} - \frac{1}{1 - i}$
12404	Simplify	1/(1-csc(x))+1/(1+csc(x))	$\frac{1}{1 - \csc (x)} + \frac{1}{1 + \csc (x)}$
12405	Simplify	6/5 1/3	$\frac{6}{5 \frac{1}{3}}$
12406	Simplify	(6x+30)/(7x^3)*x/(x^2-25)	$\frac{6 x + 30}{7 x^{3}} \cdot \frac{x}{x^{2} - 25}$
12407	Simplify	2/(sec(x/2)^2)-1	$\frac{2}{\sec^{2} (\frac{x}{2})} - 1$
12408	Simplify	(5t-1)/(4t)*(4t^2+3t)/(16t^2-9)	$\frac{5 t - 1}{4 t} \cdot \frac{4 t^{2} + 3 t}{16 t^{2} - 9}$
12409	Simplify	(6sin(x)^2+5sin(x)+1)/(2sin(x)^2+3sin(x)+1)	$\frac{6 \sin^{2} (x) + 5 \sin (x) + 1}{2 \sin^{2} (x) + 3 \sin (x) + 1}$
12410	Simplify	(5x+41x+42)/(5x)*(3x-5+18)/(15x^2-27x-54)	$\frac{5 x + 41 x + 42}{5 x} \cdot \frac{3 x - 5 + 18}{15 x^{2} - 27 x - 54}$
12411	Simplify	(6a^-4b^-3)/(9a^2b^-2)	$\frac{6 a^{- 4} b^{- 3}}{9 a^{2} b^{- 2}}$
12412	Simplify	(6x^4-3x^2+5)/(x^2+2)	$\frac{6 x^{4} - 3 x^{2} + 5}{x^{2} + 2}$
12413	Simplify	6/(2r(r+6)(r-6))-(r-3)/3	$\frac{6}{2 r (r + 6) (r - 6)} - \frac{r - 3}{3}$
12414	Simplify	-5/(x-1)+(1-3x)/x	$- \frac{5}{x - 1} + \frac{1 - 3 x}{x}$
12415	Simplify	5/(x-1)+x/(x-1)	$\frac{5}{x - 1} + \frac{x}{x - 1}$
12416	Simplify	(5+1/x)/(3-1/x)	$\frac{5 + \frac{1}{x}}{3 - \frac{1}{x}}$
12417	Simplify	5/(x+h)-5/x	$\frac{5}{x + h} - \frac{5}{x}$
12418	Simplify	5/(x-1)*(x-1)/(25(x-2))	$\frac{5}{x - 1} \cdot \frac{x - 1}{25 (x - 2)}$
12419	Simplify	(4sin(x)sec(x))/(tan(x))	$\frac{4 \sin (x) \sec (x)}{\tan (x)}$
12420	Simplify	500e^(4.5*12)	$500 e^{4.5 \cdot 12}$
12421	Simplify	(5v)/(12u)+5v	$\frac{5 v}{12 u} + 5 v$
12422	Simplify	(5x)/(2x^2-18)+4/(3x-9)	$\frac{5 x}{2 x^{2} - 18} + \frac{4}{3 x - 9}$
12423	Simplify	(5x)/(x+5)-(2x)/(x-6)	$\frac{5 x}{x + 5} - \frac{2 x}{x - 6}$
12424	Simplify	(5x-20)/(5x+15)*(2x+6)/(x-4)	$\frac{5 x - 20}{5 x + 15} \cdot \frac{2 x + 6}{x - 4}$
12425	Simplify	4/x-8/(x+4)-x/((x+4)^2)	$\frac{4}{x} - \frac{8}{x + 4} - \frac{x}{{(x + 4)}^{2}}$
12426	Simplify	4/(3a-6)+7/(5a-10)	$\frac{4}{3 a - 6} + \frac{7}{5 a - 10}$
12427	Simplify	(4a^3u)/(3bc^3)-(5v^2)/(6ab^2)	$\frac{4 a^{3} u}{3 b c^{3}} - \frac{5 v^{2}}{6 a b^{2}}$
12428	Simplify	(4i)/(1-i)-(8+i)/(2+3i)	$\frac{4 i}{1 - i} - \frac{8 + i}{2 + 3 i}$
12429	Simplify	(4x+12)/(x^2+6x+9)+(5x)/(x^2-9)+7/(x-3)	$\frac{4 x + 12}{x^{2} + 6 x + 9} + \frac{5 x}{x^{2} - 9} + \frac{7}{x - 3}$
12430	Simplify	(5x^3+x^2-x)/(3x)	$\frac{5 x^{3} + x^{2} - x}{3 x}$
12431	Simplify	(5x^2+9x-18)/(2x^2-4x-30)	$\frac{5 x^{2} + 9 x - 18}{2 x^{2} - 4 x - 30}$
12432	Simplify	(4x)/p	$\frac{4 x}{p}$
12433	Simplify	(5a^2+80a)/(50ab^2)	$\frac{5 a^{2} + 80 a}{50 a b^{2}}$
12434	Simplify	5/(2x-8)+(3x^2+15)/(x^3-4x^2+5x-20)	$\frac{5}{2 x - 8} + \frac{3 x^{2} + 15}{x^{3} - 4 x^{2} + 5 x - 20}$
12435	Simplify	5/(2- square root of 3)	$\frac{5}{2 - \sqrt{3}}$
12436	Simplify	5/2*(cos(150)+isin(150))	$\frac{5}{2} \cdot (\cos (150) + i \sin (150))$
12437	Simplify	-5/2cos(3/4(pi/4))	$- \frac{5}{2} \cdot \cos (\frac{3}{4} \cdot (\frac{π}{4}))$
12438	Simplify	(5z^3+z^2-z)/(3z)	$\frac{5 z^{3} + z^{2} - z}{3 z}$
12439	Simplify	(5xy^-2)/(x^-1y^-3)	$\frac{5 x y^{- 2}}{x^{- 1} y^{- 3}}$
12440	Simplify	3/(2x)+6	$\frac{3}{2 x} + 6$
12441	Simplify	3/(x+y)+(x-5y)/(x^2-y^2)	$\frac{3}{x + y} + \frac{x - 5 y}{x^{2} - y^{2}}$
12442	Simplify	3/(x-6)+4/(x-4)	$\frac{3}{x - 6} + \frac{4}{x - 4}$
12443	Simplify	(300-x^2)/(4x)*(x^2)	$\frac{300 - x^{2}}{4 x} \cdot (x^{2})$
12444	Simplify	36^x	$36^{x}$
12445	Simplify	(33x)/(x-1)+66/(x^2-1)-(33x)/(x+1)	$\frac{33 x}{x - 1} + \frac{66}{x^{2} - 1} - \frac{33 x}{x + 1}$
12446	Simplify	35/60*(2pr)	$\frac{35}{60} \cdot (2 p r)$
12447	Simplify	(3r)/(r^2-25)-5/(4r+20)	$\frac{3 r}{r^{2} - 25} - \frac{5}{4 r + 20}$
12448	Simplify	(3x+1)/(2x^2-2)+(2x+2)/(2x^2-8x+6)	$\frac{3 x + 1}{2 x^{2} - 2} + \frac{2 x + 2}{2 x^{2} - 8 x + 6}$
12449	Simplify	(3x+4)/(x^2-16)-2/(x-4)	$\frac{3 x + 4}{x^{2} - 16} - \frac{2}{x - 4}$
12450	Simplify	(3x+6)/(5x^2)*x/(x^(2-4))	$\frac{3 x + 6}{5 x^{2}} \cdot \frac{x}{x^{2 - 4}}$
12451	Simplify	(3x-1)/(x+1)-x/(x-1)	$\frac{3 x - 1}{x + 1} - \frac{x}{x - 1}$
12452	Simplify	(3x-2)/(x+2)-2/(x-2)	$\frac{3 x - 2}{x + 2} - \frac{2}{x - 2}$
12453	Simplify	(3x-6)/(5x-20)*(x-8)/(5x-10)	$\frac{3 x - 6}{5 x - 20} \cdot \frac{x - 8}{5 x - 10}$
12454	Simplify	(4x^2-9y^2)/(6x^2-9xy)*(6xy)/(4xy+6y^2)	$\frac{4 x^{2} - 9 y^{2}}{6 x^{2} - 9 x y} \cdot \frac{6 x y}{4 x y + 6 y^{2}}$
12455	Simplify	(2tan(x))/(1+tan(x)^2)*sin(2x)	$\frac{2 \tan (x)}{1 + \tan^{2} (x)} \cdot \sin (2 x)$
12456	Simplify	(2x-1)/(x+4)-1	$\frac{2 x - 1}{x + 4} - 1$
12457	Simplify	(2x)/(x-7)-x/(x-3)	$\frac{2 x}{x - 7} - \frac{x}{x - 3}$
12458	Simplify	(2sin(x))/(1-cos(x))	$\frac{2 \sin (x)}{1 - \cos (x)}$
12459	Simplify	(2tan(2))/(1-tan(2)^2)	$\frac{2 \tan (2)}{1 - \tan^{2} (2)}$
12460	Simplify	(2pi)/(pi/10)	$\frac{2 π}{\frac{π}{10}}$
12461	Simplify	(2pi)/(3pi)	$\frac{2 π}{3 π}$
12462	Simplify	(2pi)/(4pi)	$\frac{2 π}{4 π}$
12463	Simplify	(2pi)/9	$\frac{2 π}{9}$
12464	Simplify	(2pi)/(1/3*pi)	$\frac{2 π}{\frac{1}{3} \cdot π}$
12465	Simplify	2/r+6/(r-7)	$\frac{2}{r} + \frac{6}{r - 7}$
12466	Simplify	(2pi)/(2/3)	$\frac{2 π}{\frac{2}{3}}$
12467	Simplify	(3x^2-5x-2)/(3x^2-8x-3)	$\frac{3 x^{2} - 5 x - 2}{3 x^{2} - 8 x - 3}$
12468	Simplify	(3.7629sin(90))/20.5	$\frac{3.7629 \sin (90)}{20.5}$
12469	Simplify	3/(3/x)	$\frac{3}{\frac{3}{x}}$
12470	Simplify	3/( square root of 5- square root of 7)	$\frac{3}{\sqrt{5} - \sqrt{7}}$
12471	Simplify	3/(x^2+x-2)-5/(x^2-x-6)	$\frac{3}{x^{2} + x - 2} - \frac{5}{x^{2} - x - 6}$
12472	Simplify	3/(x^2+x-20)+x/(x^2+4x-5)	$\frac{3}{x^{2} + x - 20} + \frac{x}{x^{2} + 4 x - 5}$
12473	Simplify	3/2p	$\frac{3}{2} p$
12474	Simplify	3/(2x+4)+2/(3x+6)	$\frac{3}{2 x + 4} + \frac{2}{3 x + 6}$
12475	Simplify	3/4*cos(114)	$\frac{3}{4} \cdot \cos (114)$
12476	Simplify	a^(4/7)*b^(-4/7)	$a^{\frac{4}{7}} \cdot b^{- \frac{4}{7}}$
12477	Simplify	a^2-(b^2)÷a+b	$a^{2} - b^{2} \div a + b$
12478	Simplify	8^(9x)=16	$8^{9 x} = 16$
12479	Simplify	9/(9/x+2/(3x))	$\frac{9}{\frac{9}{x} + \frac{2}{3 x}}$
12480	Simplify	-9^(-1/2)	$- 9^{- \frac{1}{2}}$
12481	Simplify	(9c)/(24cx-18c^2)	$\frac{9 c}{24 c x - 18 c^{2}}$
12482	Simplify	(9pi)/4-2pi	$\frac{9 π}{4} - 2 π$
12483	Simplify	(9x+2)/(3x^2-2x-8)+7/(3x^2+x-4)	$\frac{9 x + 2}{3 x^{2} - 2 x - 8} + \frac{7}{3 x^{2} + x - 4}$
12484	Simplify	a/(a^2-b^2)(a-b-2b(a-b)/(a+b))/((a-b)/ba/(a+b))	$\frac{a}{a^{2} - b^{2}} \cdot \frac{a - b - 2 b \frac{a - b}{a + b}}{\frac{a - b}{b} \cdot \frac{a}{a + b}}$
12485	Simplify	-c^(2/3)(c^(1/3)+2c^(4/3))	$- c^{\frac{2}{3}} (c^{\frac{1}{3}} + 2 c^{\frac{4}{3}})$
12486	Simplify	b^4(3ab^3)(2a^2b^-5)	$b^{4} (3 a b^{3}) (2 a^{2} b^{- 5})$
12487	Simplify	(a-9)/(a^2-9a)	$\frac{a - 9}{a^{2} - 9 a}$
12488	Simplify	ab^-2(ab^2-3b^3)	$a b^{- 2} (a b^{2} - 3 b^{3})$
12489	Simplify	(-cos(x)+sec(x))/(tan(x))	$\frac{- \cos (x) + \sec (x)}{\tan (x)}$
12490	Simplify	(cos(x)-1)/(sin(x))	$\frac{\cos (x) - 1}{\sin (x)}$
12491	Simplify	(cos(x)-2)/(cos(x)^2-4)	$\frac{\cos (x) - 2}{\cos^{2} (x) - 4}$
12492	Simplify	(cos(x)-cos(y))/(sin(x)+sin(y))+(sin(x)-sin(y))/(cos(x)+cos(y))	$\frac{\cos (x) - \cos (y)}{\sin (x) + \sin (y)} + \frac{\sin (x) - \sin (y)}{\cos (x) + \cos (y)}$
12493	Simplify	((a^(1/6)b^-3)/(x^-1y))^3((x^-2b^-1)/(a^(3/2)y^(1/3)))	${(\frac{a^{\frac{1}{6}} b^{- 3}}{x^{- 1} y})}^{3} (\frac{x^{- 2} b^{- 1}}{a^{\frac{3}{2}} y^{\frac{1}{3}}})$
12494	Simplify	(cos(t)-1)/(sin(t))+(sin(t))/(cos(t)+1)	$\frac{\cos (t) - 1}{\sin (t)} + \frac{\sin (t)}{\cos (t) + 1}$
12495	Simplify	(cos(x))/(sin(x))-(sin(x))/(cos(x))	$\frac{\cos (x)}{\sin (x)} - \frac{\sin (x)}{\cos (x)}$
12496	Simplify	(8a-3b)/(7a)-(2a+5b)/(4b)	$\frac{8 a - 3 b}{7 a} - \frac{2 a + 5 b}{4 b}$
12497	Simplify	1/(cot(-theta))	$\frac{1}{\cot (- θ)}$
12498	Simplify	8/(sin(35))	$\frac{8}{\sin (35)}$
12499	Simplify	6/x-1	$\frac{6}{x} - 1$
12500	Simplify	(7pi)/6*180/pi	$\frac{7 π}{6} \cdot \frac{180}{π}$