Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
7501	Simplify	1/a-(1/b)÷(a/b)-b/a	$\frac{1}{a} - \frac{1}{b} \div \frac{a}{b} - \frac{b}{a}$
7502	Simplify	1/(v+10)*(10v+30)/(v+3)	$\frac{1}{v + 10} \cdot \frac{10 v + 30}{v + 3}$
7503	Simplify	1/x+2/(x-5)	$\frac{1}{x} + \frac{2}{x - 5}$
7504	Simplify	1/(x-1)+2/(x+1)	$\frac{1}{x - 1} + \frac{2}{x + 1}$
7505	Simplify	1/2+13/x	$\frac{1}{2} + \frac{13}{x}$
7506	Simplify	-1/3*(3y-6)+4(y+3)	$- \frac{1}{3} \cdot (3 y - 6) + 4 (y + 3)$
7507	Simplify	1/3*(6x-9)+5(3-2x)	$\frac{1}{3} \cdot (6 x - 9) + 5 (3 - 2 x)$
7508	Simplify	1/3*(9x-12)+5(3-2x)	$\frac{1}{3} \cdot (9 x - 12) + 5 (3 - 2 x)$
7509	Simplify	1/27+5/6	$\frac{1}{27} + \frac{5}{6}$
7510	Simplify	1/3*(x+2)	$\frac{1}{3} \cdot (x + 2)$
7511	Simplify	1/4(13y-3)+1/16(12y+17)	$\frac{1}{4} \cdot (13 y - 3) + \frac{1}{16} \cdot (12 y + 17)$
7512	Simplify	1/36-1/(x^2)*(6x)	$\frac{1}{36} - \frac{1}{x^{2}} \cdot (6 x)$
7513	Simplify	1/4*(x+4)	$\frac{1}{4} \cdot (x + 4)$
7514	Simplify	((1/4)÷2 1/4)÷(3/4)	$\frac{1}{4} \div 2 \frac{1}{4} \div \frac{3}{4}$
7515	Simplify	1/7+11/x	$\frac{1}{7} + \frac{11}{x}$
7516	Simplify	-1/(6x)+1/4	$- \frac{1}{6 x} + \frac{1}{4}$
7517	Simplify	1/9-1/x	$\frac{1}{9} - \frac{1}{x}$
7518	Simplify	(1/9)÷1 1/3	$\frac{1}{9} \div 1 \frac{1}{3}$
7519	Simplify	1/(a-3)-1/(3-a)	$\frac{1}{a - 3} - \frac{1}{3 - a}$
7520	Simplify	1/5	$\frac{1}{5}$
7521	Simplify	1/5(16y-2)+1/20(16y+21)	$\frac{1}{5} \cdot (16 y - 2) + \frac{1}{20} \cdot (16 y + 21)$
7522	Simplify	1/4*(8x+4)+25	$\frac{1}{4} \cdot (8 x + 4) + 25$
7523	Simplify	1/5(9y+2)+1/10(2y-1)	$\frac{1}{5} \cdot (9 y + 2) + \frac{1}{10} \cdot (2 y - 1)$
7524	Simplify	1/5-1/x	$\frac{1}{5} - \frac{1}{x}$
7525	Simplify	1/5*(2 5/6-1/3)	$\frac{1}{5} \cdot (2 \frac{5}{6} - \frac{1}{3})$
7526	Simplify	1/6*(of^84)	$\frac{1}{6} \cdot (o f^{84})$
7527	Simplify	1/(g^2)	$\frac{1}{g^{2}}$
7528	Simplify	1/(p^-4)	$\frac{1}{p^{- 4}}$
7529	Simplify	1/(2^-2)	$\frac{1}{2^{- 2}}$
7530	Simplify	(1-7/x)/(x-49/x)	$\frac{1 - \frac{7}{x}}{x - \frac{49}{x}}$
7531	Simplify	\|4a-7\|-7	$\| 4 a - 7 \| - 7$
7532	Simplify	(z^-6)/z	$\frac{z^{- 6}}{z}$
7533	Simplify	\|2x-10\|=0	$\| 2 x - 10 \| = 0$
7534	Simplify	1/2*(6x+11)+1/2	$\frac{1}{2} \cdot (6 x + 11) + \frac{1}{2}$
7535	Simplify	1/2x^7	$\frac{1}{2} x^{7}$
7536	Simplify	-1/2(7z+4)+1/5(5z-15)	$- \frac{1}{2} \cdot (7 z + 4) + \frac{1}{5} \cdot (5 z - 15)$
7537	Simplify	1/2*(a-2b)	$\frac{1}{2} \cdot (a - 2 b)$
7538	Simplify	1/2*(35x^7)	$\frac{1}{2} \cdot (35 x^{7})$
7539	Simplify	1/2x+3+7/2x-5	$\frac{1}{2} x + 3 + \frac{7}{2} x - 5$
7540	Simplify	1/100	$\frac{1}{100}$
7541	Simplify	1/10*(11^k-1)+11^k	$\frac{1}{10} \cdot (11^{k} - 1) + 11^{k}$
7542	Simplify	1/(x^2-9x+20)-5/(x^2-10x+25)	$\frac{1}{x^{2} - 9 x + 20} - \frac{5}{x^{2} - 10 x + 25}$
7543	Simplify	1/2(6x-2)-1/5(30x-6y)	$\frac{1}{2} \cdot (6 x - 2) - \frac{1}{5} \cdot (30 x - 6 y)$
7544	Simplify	(16b)/7*(35b^3)/4	$\frac{16 b}{7} \cdot \frac{35 b^{3}}{4}$
7545	Simplify	(17/20)÷3 4/5	$\frac{17}{20} \div 3 \frac{4}{5}$
7546	Simplify	(2k^2+3k-2)/(6k^2-7k+2)*(4k^2-5k+1)/(k^2+k-2)	$\frac{2 k^{2} + 3 k - 2}{6 k^{2} - 7 k + 2} \cdot \frac{4 k^{2} - 5 k + 1}{k^{2} + k - 2}$
7547	Simplify	((2z^2)/7)÷4z	$\frac{2 z^{2}}{7} \div 4 z$
7548	Simplify	16/40	$\frac{16}{40}$
7549	Simplify	16/81	$\frac{16}{81}$
7550	Simplify	(16v)/(12v^4w^5-20v^2y^4)	$\frac{16 v}{12 v^{4} w^{5} - 20 v^{2} y^{4}}$
7551	Simplify	17/8	$\frac{17}{8}$
7552	Simplify	19/4	$\frac{19}{4}$
7553	Simplify	2/(5b)-1/(9b)	$\frac{2}{5 b} - \frac{1}{9 b}$
7554	Simplify	-2/5x^80	$- \frac{2}{5} x^{80}$
7555	Simplify	-2/3*(5-2i)-3(9-2i)-(7-2i)	$- \frac{2}{3} \cdot (5 - 2 i) - 3 (9 - 2 i) - (7 - 2 i)$
7556	Simplify	2/(3y)-5/(6y)	$\frac{2}{3 y} - \frac{5}{6 y}$
7557	Simplify	(2/4)÷(2/3)	$\frac{2}{4} \div \frac{2}{3}$
7558	Simplify	2/5+2 8/4	$\frac{2}{5} + 2 \frac{8}{4}$
7559	Simplify	2/(3x^2-20x+32)+1/(3x^2-14x+16)	$\frac{2}{3 x^{2} - 20 x + 32} + \frac{1}{3 x^{2} - 14 x + 16}$
7560	Simplify	2/(15x)+4/(15x)	$\frac{2}{15 x} + \frac{4}{15 x}$
7561	Simplify	2/(3x^2+4x-7)+1/(3x^2+19x+28)	$\frac{2}{3 x^{2} + 4 x - 7} + \frac{1}{3 x^{2} + 19 x + 28}$
7562	Simplify	2/3a^2-1/2*(ab)+1/5b^2	$\frac{2}{3} a^{2} - \frac{1}{2} \cdot (a b) + \frac{1}{5} b^{2}$
7563	Simplify	-2/( square root of 6)	$\frac{- 2}{\sqrt{6}}$
7564	Simplify	2/(y^2-3y+2)+5/(y^2-1)	$\frac{2}{y^{2} - 3 y + 2} + \frac{5}{y^{2} - 1}$
7565	Simplify	(28x)/(98x)	$\frac{28 x}{98 x}$
7566	Simplify	(2a)/(a-n)+(2n)/(n-a)	$\frac{2 a}{a - n} + \frac{2 n}{n - a}$
7567	Simplify	(2prr)/4-(rr)/2	$\frac{2 p r r}{4} - \frac{r r}{2}$
7568	Simplify	(27x^4-8x+10)/(9x^3)-(10-8x)/(9x^3)	$\frac{27 x^{4} - 8 x + 10}{9 x^{3}} - \frac{10 - 8 x}{9 x^{3}}$
7569	Simplify	20/30	$\frac{20}{30}$
7570	Simplify	20/( square root of 12)	$\frac{20}{\sqrt{12}}$
7571	Simplify	(20a^6b^3)/(4a^6b)-(16a^9b^2)/(4a^6b)+(8a^2b)/(4a^6b)	$\frac{20 a^{6} b^{3}}{4 a^{6} b} - \frac{16 a^{9} b^{2}}{4 a^{6} b} + \frac{8 a^{2} b}{4 a^{6} b}$
7572	Simplify	(20a^7b^15c^6)/(abc)	$\frac{20 a^{7} b^{15} c^{6}}{a b c}$
7573	Simplify	2^(4 square root of 16x^(4y^8))	$2^{4 \sqrt{16 x^{4 y^{8}}}}$
7574	Simplify	20/3	$\frac{20}{3}$
7575	Simplify	(21x^10)/(3x^5)	$\frac{21 x^{10}}{3 x^{5}}$
7576	Simplify	20/60	$\frac{20}{60}$
7577	Simplify	200/7	$\frac{200}{7}$
7578	Simplify	(20x)/(x^2-16)-10/(x-4)	$\frac{20 x}{x^{2} - 16} - \frac{10}{x - 4}$
7579	Simplify	21/2*4/9	$\frac{21}{2} \cdot \frac{4}{9}$
7580	Simplify	(24/x)÷(4/x)	$\frac{24}{x} \div \frac{4}{x}$
7581	Simplify	(2z)/15+(7z)/18	$\frac{2 z}{15} + \frac{7 z}{18}$
7582	Simplify	(3a^8b^8)/(4a^7cb^7)+(24ca^7b^8)/(12a^9)	$\frac{3 a^{8} b^{8}}{4 a^{7} c b^{7}} + \frac{24 c a^{7} b^{8}}{12 a^{9}}$
7583	Simplify	(2x-5)/(6x+9)-4/(2x^2+3x)	$\frac{2 x - 5}{6 x + 9} - \frac{4}{2 x^{2} + 3 x}$
7584	Simplify	(2y-6)/y	$\frac{2 y - 6}{y}$
7585	Simplify	(3a^2+3b^2)/(a+b)+(6ab)/(b+a)	$\frac{3 a^{2} + 3 b^{2}}{a + b} + \frac{6 a b}{b + a}$
7586	Simplify	(3x10^5)/(610^2)	$\frac{3 x \cdot 10^{5}}{6 \cdot 10^{2}}$
7587	Simplify	(3x^2+15x)/(9x^3-3x)	$\frac{3 x^{2} + 15 x}{9 x^{3} - 3 x}$
7588	Simplify	(3x^2+8x)/(x-4)-(9x+44)/(x-4)	$\frac{3 x^{2} + 8 x}{x - 4} - \frac{9 x + 44}{x - 4}$
7589	Simplify	((3x^2-27y^2)/30)÷(((x-3y)^2)/6)	$\frac{3 x^{2} - 27 y^{2}}{30} \div \frac{{(x - 3 y)}^{2}}{6}$
7590	Simplify	(2n-8)/(n+2)*(2n+4)/(n-4)	$\frac{2 n - 8}{n + 2} \cdot \frac{2 n + 4}{n - 4}$
7591	Simplify	(2x)/(4x+2)*(x(14x+7))/6	$\frac{2 x}{4 x + 2} \cdot \frac{x (14 x + 7)}{6}$
7592	Simplify	(2n)/5-n/6	$\frac{2 n}{5} - \frac{n}{6}$
7593	Simplify	(2x)/11*5/2	$\frac{2 x}{11} \cdot \frac{5}{2}$
7594	Simplify	((2x)/5)÷(7/9)	$\frac{2 x}{5} \div \frac{7}{9}$
7595	Simplify	(2x)/((x+1)(x-2))-3/(x^2-1)	$\frac{2 x}{(x + 1) (x - 2)} - \frac{3}{x^{2} - 1}$
7596	Simplify	((2x-20y)/(x^2-4y^2))÷((x-10y)/(x^2-6xy-16y^2))	$\frac{2 x - 20 y}{x^{2} - 4 y^{2}} \div \frac{x - 10 y}{x^{2} - 6 x y - 16 y^{2}}$
7597	Simplify	(2x+6)/(2x^2-18)-2/(x-3)	$\frac{2 x + 6}{2 x^{2} - 18} - \frac{2}{x - 3}$
7598	Simplify	-x^2-6x(8+6x)	$- x^{2} - 6 x (8 + 6 x)$
7599	Simplify	x^2-5x=0	$x^{2} - 5 x = 0$
7600	Simplify	x^2-7x	$x^{2} - 7 x$