Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
109301	Simplify	(x^2-9x+8)/(x^2+9x+8)*(x+8)/(8x-8)	$\frac{x^{2} - 9 x + 8}{x^{2} + 9 x + 8} \cdot \frac{x + 8}{8 x - 8}$
109302	Simplify	(x^2-x-20)/(x^2+2x-15)	$\frac{x^{2} - x - 20}{x^{2} + 2 x - 15}$
109303	Simplify	(x^2-x-6)/(x^2-9)	$\frac{x^{2} - x - 6}{x^{2} - 9}$
109304	Simplify	(x^2-9)/(x^2+2x-15)	$\frac{x^{2} - 9}{x^{2} + 2 x - 15}$
109305	Simplify	(x^2-9)/(x^2+3x)	$\frac{x^{2} - 9}{x^{2} + 3 x}$
109306	Find the Asymptotes	(x^2)/(x^4-16)	$\frac{x^{2}}{x^{4} - 16}$
109307	Simplify	(x^2-9)/2*(x^2-x-6)/(x^2-6x+9)	$\frac{x^{2} - 9}{2} \cdot \frac{x^{2} - x - 6}{x^{2} - 6 x + 9}$
109308	Subtract	(4y^2)/(7y-9)-(8y^2)/(y+12)	$\frac{4 y^{2}}{7 y - 9} - \frac{8 y^{2}}{y + 12}$
109309	Simplify	(x^2-9)/(x+3)	$\frac{x^{2} - 9}{x + 3}$
109310	Subtract	180-147	$180 - 147$
109311	Convert to a Decimal	6 3/4	$6 \frac{3}{4}$
109312	Factor by Grouping	3z^3+2z-12z^2-8	$3 z^{3} + 2 z - 12 z^{2} - 8$
109313	Find the Domain	f(x) = square root of 4x-28	$f (x) = \sqrt{4 x - 28}$
109314	Simplify	((x-4)/x--10/(x-1))/((x+1)/x+(x+1)/(x-1))	$\frac{\frac{x - 4}{x} - \frac{- 10}{x - 1}}{\frac{x + 1}{x} + \frac{x + 1}{x - 1}}$
109315	Simplify	((x-1)/x--4/(x-1))/((x+1)/x+(x+1)/(x-1))	$\frac{\frac{x - 1}{x} - \frac{- 4}{x - 1}}{\frac{x + 1}{x} + \frac{x + 1}{x - 1}}$
109316	Simplify	(xy^3-9xy)/(12xy^2+12xy-144x)	$\frac{x y^{3} - 9 x y}{12 x y^{2} + 12 x y - 144 x}$
109317	Expand the Logarithmic Expression	log of (4(x+8)^5)/( cube root of x^2)	$\log (\frac{4 {(x + 8)}^{5}}{\sqrt[3]{x^{2}}})$
109318	Find the Roots (Zeros)	f(x)=x^2+15x+56	$f (x) = x^{2} + 15 x + 56$
109319	Simplify	(y^14)/(y^5)	$\frac{y^{14}}{y^{5}}$
109320	Simplify	(y^(1/3))/(y^(-3/4)y^(1/4))	$\frac{y^{\frac{1}{3}}}{y^{- \frac{3}{4}} y^{\frac{1}{4}}}$
109321	Simplify	(y^(1/10))/(y^(1/20))	$\frac{y^{\frac{1}{10}}}{y^{\frac{1}{20}}}$
109322	Simplify	(y^2+4y)/(y^2-16)	$\frac{y^{2} + 4 y}{y^{2} - 16}$
109323	Simplify	(1-49/(x^2))/(1+7/x)	$\frac{1 - \frac{49}{x^{2}}}{1 + \frac{7}{x}}$
109324	Simplify	-\|x\|	$- \| x \|$
109325	Simplify	\|-x\|	$\| - x \|$
109326	Solve Using the Quadratic Formula	-6+3x-9x^2=-16	$- 6 + 3 x - 9 x^{2} = - 16$
109327	Simplify	\|6-3i\|	$\| 6 - 3 i \|$
109328	Simplify	\|1-4i\|	$\| 1 - 4 i \|$
109329	Subtract	225-64	$225 - 64$
109330	Simplify	\|-1-i\|	$\| - 1 - i \|$
109331	Subtract	(4m^2-m+2)-(-3m^2+10m+4)	$(4 m^{2} - m + 2) - (- 3 m^{2} + 10 m + 4)$
109332	Simplify	\|2-2i\|	$\| 2 - 2 i \|$
109333	Subtract	(k^3-7k+2)-(k^2-12)	$(k^{3} - 7 k + 2) - (k^{2} - 12)$
109334	Simplify	\|-2i\|	$\| - 2 i \|$
109335	Simplify	(x^2)/(x-3)+9/(3-x)	$\frac{x^{2}}{x - 3} + \frac{9}{3 - x}$
109336	Subtract	180-92	$180 - 92$
109337	Simplify	(x^2)/(x-y)+(y^2)/(y-x)	$\frac{x^{2}}{x - y} + \frac{y^{2}}{y - x}$
109338	Simplify	(x^2+10x+25)/(x^2+9x+20)	$\frac{x^{2} + 10 x + 25}{x^{2} + 9 x + 20}$
109339	Simplify	(x^2+2x-24)/(x^2-11x+28)	$\frac{x^{2} + 2 x - 24}{x^{2} - 11 x + 28}$
109340	Simplify	(x^2+25)/(x-5)-(10x)/(x-5)	$\frac{x^{2} + 25}{x - 5} - \frac{10 x}{x - 5}$
109341	Write as a Single Logarithm	log base 5 of y-4( log base 5 of r+2 log base 5 of t)	$\log_{5} (y) - 4 (\log_{5} (r) + 2 \log_{5} (t))$
109342	Simplify	(x^2+49)/(x-7)-(14x)/(x-7)	$\frac{x^{2} + 49}{x - 7} - \frac{14 x}{x - 7}$
109343	Simplify	(x^2+6x+5)/(x+1)	$\frac{x^{2} + 6 x + 5}{x + 1}$
109344	Find the Domain and Range	f(x)=10x-x^2-9	$f (x) = 10 x - x^{2} - 9$
109345	Solve by Factoring	25x^2+9=30x	$25 x^{2} + 9 = 30 x$
109346	Simplify	(x^2+x-12)/(x^2-6x+9)	$\frac{x^{2} + x - 12}{x^{2} - 6 x + 9}$
109347	Convert to Interval Notation	\|x-5\|>=2	$\| x - 5 \| \geq 2$
109348	Simplify	(x^2+7x+12)/(x-5)*(2x-10)/(x+3)	$\frac{x^{2} + 7 x + 12}{x - 5} \cdot \frac{2 x - 10}{x + 3}$
109349	Convert to Interval Notation	x(x-2)<=24	$x (x - 2) \leq 24$
109350	Simplify	(x^2+xy+2x+2y)/(x+2)	$\frac{x^{2} + x y + 2 x + 2 y}{x + 2}$
109351	Simplify	(x^2-1)/(x^2-2x+1)	$\frac{x^{2} - 1}{x^{2} - 2 x + 1}$
109352	Simplify	(x^2-10x+24)/(x^2-x-30)*(x^2-25)/(x^2-16)	$\frac{x^{2} - 10 x + 24}{x^{2} - x - 30} \cdot \frac{x^{2} - 25}{x^{2} - 16}$
109353	Convert to Interval Notation	{x\|x<1}	${x \| x < 1}$
109354	Simplify	(x^2-100)/(10-x)	$\frac{x^{2} - 100}{10 - x}$
109355	Simplify	(x^2-11x+24)/(x^2-3x-40)	$\frac{x^{2} - 11 x + 24}{x^{2} - 3 x - 40}$
109356	Simplify	( fourth root of 400)/( fourth root of 5)	$\frac{\sqrt[4]{400}}{\sqrt[4]{5}}$
109357	Simplify	(x^12)/(x^3)	$\frac{x^{12}}{x^{3}}$
109358	Find the Axis of Symmetry	y=x^2-10x-6	$y = x^{2} - 10 x - 6$
109359	Simplify	(x^2-y^2)/(y-x)	$\frac{x^{2} - y^{2}}{y - x}$
109360	Find the Domain	f(x) = square root of x^2-100	$f (x) = \sqrt{x^{2} - 100}$
109361	Solve Using the Quadratic Formula	6+2x^2-3x=8x^2	$6 + 2 x^{2} - 3 x = 8 x^{2}$
109362	Simplify	(x^(5/4)(x^4)^(1/8))/(x^(3/4))	$\frac{x^{\frac{5}{4}} {(x^{4})}^{\frac{1}{8}}}{x^{\frac{3}{4}}}$
109363	Simplify	(x^(7/5))/(x^(4/5))	$\frac{x^{\frac{7}{5}}}{x^{\frac{4}{5}}}$
109364	Simplify	(x^(2/3)y^(5/6))/(x^(-1/3)y^(1/2))	$\frac{x^{\frac{2}{3}} y^{\frac{5}{6}}}{x^{- \frac{1}{3}} y^{\frac{1}{2}}}$
109365	Simplify	(x^(3/2)x^(-1/4))/(x^(1/3))	$\frac{x^{\frac{3}{2}} x^{- \frac{1}{4}}}{x^{\frac{1}{3}}}$
109366	Find the Domain and Range	y = log base 6 of x-1-5	$y = \log_{6} (x - 1) - 5$
109367	Simplify	(t^2)/(t-3)+9/(3-t)	$\frac{t^{2}}{t - 3} + \frac{9}{3 - t}$
109368	Simplify	(3x^2y^2)/(2x^-1*4yx^2)	$\frac{3 x^{2} y^{2}}{2 x^{- 1} \cdot 4 y x^{2}}$
109369	Simplify	square root of 125/9	$\sqrt{\frac{125}{9}}$
109370	Expand the Logarithmic Expression	log base 3 of 9x^5	$\log_{3} (9 x^{5})$
109371	Simplify	fourth root of a^2b* cube root of ab	$\sqrt[4]{a^{2} b} \cdot \sqrt[3]{a b}$
109372	Simplify	-6/7-3/5	$- \frac{6}{7} - \frac{3}{5}$
109373	Simplify	square root of 172	$\sqrt{172}$
109374	Simplify	(2x^3)^2	${(2 x^{3})}^{2}$
109375	Simplify	square root of x* seventh root of x	$\sqrt{x} \cdot \sqrt[7]{x}$
109376	Simplify	square root of x+5* square root of x-5	$\sqrt{x + 5} \cdot \sqrt{x - 5}$
109377	Convert to Scientific Notation	5.410^5+6.710^4	$5.4 \cdot 10^{5} + 6.7 \cdot 10^{4}$
109378	Simplify	square root of x+8* square root of x-8	$\sqrt{x + 8} \cdot \sqrt{x - 8}$
109379	Simplify	square root of x+11* square root of x-11	$\sqrt{x + 11} \cdot \sqrt{x - 11}$
109380	Simplify	square root of a+ square root of a	$\sqrt{a} + \sqrt{a}$
109381	Simplify	2 square root of 98	$2 \sqrt{98}$
109382	Write in Standard Form	x^2-4x+y^2-12=0	$x^{2} - 4 x + y^{2} - 12 = 0$
109383	Subtract	(x^2+3x-7)-(3x^2-5x+3)	$(x^{2} + 3 x - 7) - (3 x^{2} - 5 x + 3)$
109384	Simplify	fourth root of 7x^6* fourth root of 32x^2	$\sqrt[4]{7 x^{6}} \cdot \sqrt[4]{32 x^{2}}$
109385	Subtract	13-9	$13 - 9$
109386	Simplify	fourth root of x* cube root of x	$\sqrt[4]{x} \cdot \sqrt[3]{x}$
109387	Simplify	w^2+30w+81	$w^{2} + 30 w + 81$
109388	Simplify	x/(x^2-y^2)+y/(x^2-y^2)	$\frac{x}{x^{2} - y^{2}} + \frac{y}{x^{2} - y^{2}}$
109389	Write as a Single Logarithm	log of 5-k log of 2	$\log (5) - k \log (2)$
109390	Simplify	x/(x-6)-(x-3)/(3x)	$\frac{x}{x - 6} - \frac{x - 3}{3 x}$
109391	Simplify	x^(1/2)(4x-4)	$x^{\frac{1}{2}} (4 x - 4)$
109392	Add	3/(n^2-9)+7/(3-n)	$\frac{3}{n^{2} - 9} + \frac{7}{3 - n}$
109393	Simplify	x^3y^5x^5	$x^{3} y^{5} x^{5}$
109394	Convert to Interval Notation	((x+9)(x-11))/(x+7)<=0	$\frac{(x + 9) (x - 11)}{x + 7} \leq 0$
109395	Simplify	x^2=81	$x^{2} = 81$
109396	Convert to Interval Notation	\|10-4x\|>=20	$\| 10 - 4 x \| \geq 20$
109397	Simplify	x^2-12	$x^{2} - 12$
109398	Convert to Interval Notation	3\|x-5\|+1>=13	$3 \| x - 5 \| + 1 \geq 13$
109399	Simplify	x^2-2x-8	$x^{2} - 2 x - 8$
109400	Simplify	x^2-x-20	$x^{2} - x - 20$