Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
109301	Simplify	(2x^2+10x)/(3x^2+15x)	$\frac{2 x^{2} + 10 x}{3 x^{2} + 15 x}$
109302	Simplify	(2h^3j^-3k^4)/(3jk)	$\frac{2 h^{3} j^{- 3} k^{4}}{3 j k}$
109303	Simplify	(16+3x)/(12x)-16/(12x)	$\frac{16 + 3 x}{12 x} - \frac{16}{12 x}$
109304	Simplify	(15a)/b-(6b)/5	$\frac{15 a}{b} - \frac{6 b}{5}$
109305	Simplify	(13+3x)/(9x)-13/(9x)	$\frac{13 + 3 x}{9 x} - \frac{13}{9 x}$
109306	Simplify	12/( square root of 3)	$\frac{12}{\sqrt{3}}$
109307	Determine if Odd, Even, or Neither	f(x)=x^4-4x^2+8	$f (x) = x^{4} - 4 x^{2} + 8$
109308	Simplify	125^(1/3)	$125^{\frac{1}{3}}$
109309	Simplify	1000^(1/3)	$1000^{\frac{1}{3}}$
109310	Write as a Single Logarithm	log of 3+ log of 7	$\log (3) + \log (7)$
109311	Simplify	(11+2x)/(8x)-11/(8x)	$\frac{11 + 2 x}{8 x} - \frac{11}{8 x}$
109312	Simplify	(x^2-4y^2)/(3x+6y)	$\frac{x^{2} - 4 y^{2}}{3 x + 6 y}$
109313	Convert to Interval Notation	\|x-4\|>=3	$\| x - 4 \| \geq 3$
109314	Simplify	(x^2-9x+18)/(x^2-x-30)*(x^2-25)/(x^2-9)	$\frac{x^{2} - 9 x + 18}{x^{2} - x - 30} \cdot \frac{x^{2} - 25}{x^{2} - 9}$
109315	Simplify	(x^2-9x+8)/(x^2+9x+8)*(x+8)/(8x-8)	$\frac{x^{2} - 9 x + 8}{x^{2} + 9 x + 8} \cdot \frac{x + 8}{8 x - 8}$
109316	Simplify	(x^2-x-20)/(x^2+2x-15)	$\frac{x^{2} - x - 20}{x^{2} + 2 x - 15}$
109317	Simplify	(x^2-x-6)/(x^2-9)	$\frac{x^{2} - x - 6}{x^{2} - 9}$
109318	Simplify	(x^2-9)/(x^2+2x-15)	$\frac{x^{2} - 9}{x^{2} + 2 x - 15}$
109319	Simplify	(x^2-9)/(x^2+3x)	$\frac{x^{2} - 9}{x^{2} + 3 x}$
109320	Find the Asymptotes	(x^2)/(x^4-16)	$\frac{x^{2}}{x^{4} - 16}$
109321	Simplify	(x^2-9)/2*(x^2-x-6)/(x^2-6x+9)	$\frac{x^{2} - 9}{2} \cdot \frac{x^{2} - x - 6}{x^{2} - 6 x + 9}$
109322	Subtract	(4y^2)/(7y-9)-(8y^2)/(y+12)	$\frac{4 y^{2}}{7 y - 9} - \frac{8 y^{2}}{y + 12}$
109323	Simplify	(x^2-9)/(x+3)	$\frac{x^{2} - 9}{x + 3}$
109324	Subtract	180-147	$180 - 147$
109325	Convert to a Decimal	6 3/4	$6 \frac{3}{4}$
109326	Factor by Grouping	3z^3+2z-12z^2-8	$3 z^{3} + 2 z - 12 z^{2} - 8$
109327	Find the Domain	f(x) = square root of 4x-28	$f (x) = \sqrt{4 x - 28}$
109328	Simplify	((x-4)/x--10/(x-1))/((x+1)/x+(x+1)/(x-1))	$\frac{\frac{x - 4}{x} - \frac{- 10}{x - 1}}{\frac{x + 1}{x} + \frac{x + 1}{x - 1}}$
109329	Simplify	((x-1)/x--4/(x-1))/((x+1)/x+(x+1)/(x-1))	$\frac{\frac{x - 1}{x} - \frac{- 4}{x - 1}}{\frac{x + 1}{x} + \frac{x + 1}{x - 1}}$
109330	Simplify	(xy^3-9xy)/(12xy^2+12xy-144x)	$\frac{x y^{3} - 9 x y}{12 x y^{2} + 12 x y - 144 x}$
109331	Expand the Logarithmic Expression	log of (4(x+8)^5)/( cube root of x^2)	$\log (\frac{4 {(x + 8)}^{5}}{\sqrt[3]{x^{2}}})$
109332	Find the Roots (Zeros)	f(x)=x^2+15x+56	$f (x) = x^{2} + 15 x + 56$
109333	Simplify	(y^14)/(y^5)	$\frac{y^{14}}{y^{5}}$
109334	Simplify	(y^(1/3))/(y^(-3/4)y^(1/4))	$\frac{y^{\frac{1}{3}}}{y^{- \frac{3}{4}} y^{\frac{1}{4}}}$
109335	Simplify	(y^(1/10))/(y^(1/20))	$\frac{y^{\frac{1}{10}}}{y^{\frac{1}{20}}}$
109336	Simplify	(y^2+4y)/(y^2-16)	$\frac{y^{2} + 4 y}{y^{2} - 16}$
109337	Simplify	(1-49/(x^2))/(1+7/x)	$\frac{1 - \frac{49}{x^{2}}}{1 + \frac{7}{x}}$
109338	Simplify	-\|x\|	$- \| x \|$
109339	Simplify	\|-x\|	$\| - x \|$
109340	Solve Using the Quadratic Formula	-6+3x-9x^2=-16	$- 6 + 3 x - 9 x^{2} = - 16$
109341	Simplify	\|6-3i\|	$\| 6 - 3 i \|$
109342	Simplify	\|1-4i\|	$\| 1 - 4 i \|$
109343	Subtract	225-64	$225 - 64$
109344	Simplify	\|-1-i\|	$\| - 1 - i \|$
109345	Subtract	(4m^2-m+2)-(-3m^2+10m+4)	$(4 m^{2} - m + 2) - (- 3 m^{2} + 10 m + 4)$
109346	Simplify	\|2-2i\|	$\| 2 - 2 i \|$
109347	Subtract	(k^3-7k+2)-(k^2-12)	$(k^{3} - 7 k + 2) - (k^{2} - 12)$
109348	Simplify	\|-2i\|	$\| - 2 i \|$
109349	Simplify	(x^2)/(x-3)+9/(3-x)	$\frac{x^{2}}{x - 3} + \frac{9}{3 - x}$
109350	Subtract	180-92	$180 - 92$
109351	Simplify	(x^2)/(x-y)+(y^2)/(y-x)	$\frac{x^{2}}{x - y} + \frac{y^{2}}{y - x}$
109352	Simplify	(x^2+10x+25)/(x^2+9x+20)	$\frac{x^{2} + 10 x + 25}{x^{2} + 9 x + 20}$
109353	Simplify	(x^2+2x-24)/(x^2-11x+28)	$\frac{x^{2} + 2 x - 24}{x^{2} - 11 x + 28}$
109354	Simplify	(x^2+25)/(x-5)-(10x)/(x-5)	$\frac{x^{2} + 25}{x - 5} - \frac{10 x}{x - 5}$
109355	Write as a Single Logarithm	log base 5 of y-4( log base 5 of r+2 log base 5 of t)	$\log_{5} (y) - 4 (\log_{5} (r) + 2 \log_{5} (t))$
109356	Simplify	(x^2+49)/(x-7)-(14x)/(x-7)	$\frac{x^{2} + 49}{x - 7} - \frac{14 x}{x - 7}$
109357	Simplify	(x^2+6x+5)/(x+1)	$\frac{x^{2} + 6 x + 5}{x + 1}$
109358	Find the Domain and Range	f(x)=10x-x^2-9	$f (x) = 10 x - x^{2} - 9$
109359	Solve by Factoring	25x^2+9=30x	$25 x^{2} + 9 = 30 x$
109360	Simplify	(x^2+x-12)/(x^2-6x+9)	$\frac{x^{2} + x - 12}{x^{2} - 6 x + 9}$
109361	Convert to Interval Notation	\|x-5\|>=2	$\| x - 5 \| \geq 2$
109362	Simplify	(x^2+7x+12)/(x-5)*(2x-10)/(x+3)	$\frac{x^{2} + 7 x + 12}{x - 5} \cdot \frac{2 x - 10}{x + 3}$
109363	Convert to Interval Notation	x(x-2)<=24	$x (x - 2) \leq 24$
109364	Simplify	(x^2+xy+2x+2y)/(x+2)	$\frac{x^{2} + x y + 2 x + 2 y}{x + 2}$
109365	Simplify	(x^2-1)/(x^2-2x+1)	$\frac{x^{2} - 1}{x^{2} - 2 x + 1}$
109366	Simplify	(x^2-10x+24)/(x^2-x-30)*(x^2-25)/(x^2-16)	$\frac{x^{2} - 10 x + 24}{x^{2} - x - 30} \cdot \frac{x^{2} - 25}{x^{2} - 16}$
109367	Convert to Interval Notation	{x\|x<1}	${x \| x < 1}$
109368	Simplify	(x^2-100)/(10-x)	$\frac{x^{2} - 100}{10 - x}$
109369	Simplify	(x^2-11x+24)/(x^2-3x-40)	$\frac{x^{2} - 11 x + 24}{x^{2} - 3 x - 40}$
109370	Simplify	( fourth root of 400)/( fourth root of 5)	$\frac{\sqrt[4]{400}}{\sqrt[4]{5}}$
109371	Simplify	(x^12)/(x^3)	$\frac{x^{12}}{x^{3}}$
109372	Find the Axis of Symmetry	y=x^2-10x-6	$y = x^{2} - 10 x - 6$
109373	Simplify	(x^2-y^2)/(y-x)	$\frac{x^{2} - y^{2}}{y - x}$
109374	Find the Domain	f(x) = square root of x^2-100	$f (x) = \sqrt{x^{2} - 100}$
109375	Solve Using the Quadratic Formula	6+2x^2-3x=8x^2	$6 + 2 x^{2} - 3 x = 8 x^{2}$
109376	Simplify	(x^(5/4)(x^4)^(1/8))/(x^(3/4))	$\frac{x^{\frac{5}{4}} {(x^{4})}^{\frac{1}{8}}}{x^{\frac{3}{4}}}$
109377	Simplify	(x^(7/5))/(x^(4/5))	$\frac{x^{\frac{7}{5}}}{x^{\frac{4}{5}}}$
109378	Simplify	(x^(2/3)y^(5/6))/(x^(-1/3)y^(1/2))	$\frac{x^{\frac{2}{3}} y^{\frac{5}{6}}}{x^{- \frac{1}{3}} y^{\frac{1}{2}}}$
109379	Simplify	(x^(3/2)x^(-1/4))/(x^(1/3))	$\frac{x^{\frac{3}{2}} x^{- \frac{1}{4}}}{x^{\frac{1}{3}}}$
109380	Find the Domain and Range	y = log base 6 of x-1-5	$y = \log_{6} (x - 1) - 5$
109381	Simplify	(t^2)/(t-3)+9/(3-t)	$\frac{t^{2}}{t - 3} + \frac{9}{3 - t}$
109382	Simplify	(3x^2y^2)/(2x^-1*4yx^2)	$\frac{3 x^{2} y^{2}}{2 x^{- 1} \cdot 4 y x^{2}}$
109383	Simplify	square root of 125/9	$\sqrt{\frac{125}{9}}$
109384	Expand the Logarithmic Expression	log base 3 of 9x^5	$\log_{3} (9 x^{5})$
109385	Simplify	fourth root of a^2b* cube root of ab	$\sqrt[4]{a^{2} b} \cdot \sqrt[3]{a b}$
109386	Simplify	-6/7-3/5	$- \frac{6}{7} - \frac{3}{5}$
109387	Simplify	square root of 172	$\sqrt{172}$
109388	Simplify	(2x^3)^2	${(2 x^{3})}^{2}$
109389	Simplify	square root of x* seventh root of x	$\sqrt{x} \cdot \sqrt[7]{x}$
109390	Simplify	square root of x+5* square root of x-5	$\sqrt{x + 5} \cdot \sqrt{x - 5}$
109391	Convert to Scientific Notation	5.410^5+6.710^4	$5.4 \cdot 10^{5} + 6.7 \cdot 10^{4}$
109392	Simplify	square root of x+8* square root of x-8	$\sqrt{x + 8} \cdot \sqrt{x - 8}$
109393	Simplify	square root of x+11* square root of x-11	$\sqrt{x + 11} \cdot \sqrt{x - 11}$
109394	Simplify	square root of a+ square root of a	$\sqrt{a} + \sqrt{a}$
109395	Simplify	2 square root of 98	$2 \sqrt{98}$
109396	Write in Standard Form	x^2-4x+y^2-12=0	$x^{2} - 4 x + y^{2} - 12 = 0$
109397	Subtract	(x^2+3x-7)-(3x^2-5x+3)	$(x^{2} + 3 x - 7) - (3 x^{2} - 5 x + 3)$
109398	Simplify	fourth root of 7x^6* fourth root of 32x^2	$\sqrt[4]{7 x^{6}} \cdot \sqrt[4]{32 x^{2}}$
109399	Subtract	13-9	$13 - 9$
109400	Simplify	fourth root of x* cube root of x	$\sqrt[4]{x} \cdot \sqrt[3]{x}$