Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
59501	Simplify	(y^2+10y+16)/(y^(2+16y+64))	$\frac{y^{2} + 10 y + 16}{y^{2 + 16 y + 64}}$
59502	Simplify	(y^2+11y+28)/(y^2+14y+49)	$\frac{y^{2} + 11 y + 28}{y^{2} + 14 y + 49}$
59503	Simplify	(y^2+13y+40)/(y^2+5y-24)	$\frac{y^{2} + 13 y + 40}{y^{2} + 5 y - 24}$
59504	Simplify	(y^2+17y)/(y^2-6y)+(y^2-4y)/(y^2-6y)	$\frac{y^{2} + 17 y}{y^{2} - 6 y} + \frac{y^{2} - 4 y}{y^{2} - 6 y}$
59505	Simplify	(y^2+45)/(8y^2-27)	$\frac{y^{2} + 45}{8 y^{2} - 27}$
59506	Simplify	(((y^2+4y+3)/(y^2-8y+7))÷((y^2-7y-8)/(y^2-2y-35)))÷((y^2+8y+15)/(y^2-9y+8))	$\frac{y^{2} + 4 y + 3}{y^{2} - 8 y + 7} \div \frac{y^{2} - 7 y - 8}{y^{2} - 2 y - 35} \div \frac{y^{2} + 8 y + 15}{y^{2} - 9 y + 8}$
59507	Simplify	(y^2+4y+6)/(y^2-7y+12)	$\frac{y^{2} + 4 y + 6}{y^{2} - 7 y + 12}$
59508	Simplify	((y^2+5y+4)/(y^2+12y+32))÷((y^2-11y+30)/(y^2+2y-48))	$\frac{y^{2} + 5 y + 4}{y^{2} + 12 y + 32} \div \frac{y^{2} - 11 y + 30}{y^{2} + 2 y - 48}$
59509	Simplify	(y^2+5y-50)/(y^2-14y+45)	$\frac{y^{2} + 5 y - 50}{y^{2} - 14 y + 45}$
59510	Simplify	(y^2+64)/(y+8)*1	$\frac{y^{2} + 64}{y + 8} \cdot 1$
59511	Simplify	((y^2+6y+8)/(y^2+10y+16))÷((y^2-6y+6)/(y^2+6y-16))	$\frac{y^{2} + 6 y + 8}{y^{2} + 10 y + 16} \div \frac{y^{2} - 6 y + 6}{y^{2} + 6 y - 16}$
59512	Simplify	((y^2+6y+8)/(y^2+11y+18))÷((y^2-13y+42)/(y^2+2y-63))	$\frac{y^{2} + 6 y + 8}{y^{2} + 11 y + 18} \div \frac{y^{2} - 13 y + 42}{y^{2} + 2 y - 63}$
59513	Simplify	((y^2+6y+8)/(y^2+y-2))÷((y+4)/(2y+4))	$\frac{y^{2} + 6 y + 8}{y^{2} + y - 2} \div \frac{y + 4}{2 y + 4}$
59514	Simplify	(y^2+6y+9)/(y^2-6y-27)	$\frac{y^{2} + 6 y + 9}{y^{2} - 6 y - 27}$
59515	Simplify	(y^2+6y-16)/(y^2-4y+4)	$\frac{y^{2} + 6 y - 16}{y^{2} - 4 y + 4}$
59516	Simplify	(y^2+6y-27)/(2y^2-2y-144)	$\frac{y^{2} + 6 y - 27}{2 y^{2} - 2 y - 144}$
59517	Simplify	(y^2+7y+10)/(y^2+9y+14)	$\frac{y^{2} + 7 y + 10}{y^{2} + 9 y + 14}$
59518	Simplify	((y^2+8y)/-9)÷((y+8)/y)	$\frac{y^{2} + 8 y}{- 9} \div \frac{y + 8}{y}$
59519	Simplify	(y^2+8y+15)/(y-1)	$\frac{y^{2} + 8 y + 15}{y - 1}$
59520	Simplify	((y^2+9y)/(y^2+6y-27))÷(y/(y+3))	$\frac{y^{2} + 9 y}{y^{2} + 6 y - 27} \div \frac{y}{y + 3}$
59521	Simplify	(y^2+y)/(y^2-4)*(y^2+5y+6)/(y^2-1)	$\frac{y^{2} + y}{y^{2} - 4} \cdot \frac{y^{2} + 5 y + 6}{y^{2} - 1}$
59522	Simplify	(y^2+y)/(3zy)*(3z+3)/(y^2+2y+1)	$\frac{y^{2} + y}{3 z y} \cdot \frac{3 z + 3}{y^{2} + 2 y + 1}$
59523	Simplify	(y^2+y-12)/(y^2-y-20)*(y^2+y-30)/(y^2-2y)-3	$\frac{y^{2} + y - 12}{y^{2} - y - 20} \cdot \frac{y^{2} + y - 30}{y^{2} - 2 y} - 3$
59524	Simplify	(y^2+y-2)/(y+3)*(y-2)/(4y-4)	$\frac{y^{2} + y - 2}{y + 3} \cdot \frac{y - 2}{4 y - 4}$
59525	Simplify	(y^2+y-56)/(y^2+15y+56)	$\frac{y^{2} + y - 56}{y^{2} + 15 y + 56}$
59526	Simplify	(y^2-1)/(y^2+1)*(3y+6)/(y+1)	$\frac{y^{2} - 1}{y^{2} + 1} \cdot \frac{3 y + 6}{y + 1}$
59527	Simplify	(y^2-1)/(y^3-1)*(y-2)/(y+1)	$\frac{y^{2} - 1}{y^{3} - 1} \cdot \frac{y - 2}{y + 1}$
59528	Simplify	((y^2-10y+24)/(y^2-3y-18))÷((y^2+2y-3)/(y^2-9y+8))*((y^2+6y+9)/(y^2-5y-24))	$\frac{y^{2} - 10 y + 24}{y^{2} - 3 y - 18} \div \frac{y^{2} + 2 y - 3}{y^{2} - 9 y + 8} \cdot (\frac{y^{2} + 6 y + 9}{y^{2} - 5 y - 24})$
59529	Simplify	(y^2-10y+24)/(96-6y^2)	$\frac{y^{2} - 10 y + 24}{96 - 6 y^{2}}$
59530	Simplify	(y^2-13y+36)/(y^2+2y-24)	$\frac{y^{2} - 13 y + 36}{y^{2} + 2 y - 24}$
59531	Simplify	(y^2-13y+36)/(10y-90)	$\frac{y^{2} - 13 y + 36}{10 y - 90}$
59532	Simplify	((y^2-13y+40)/(y+7))÷((y^2+3y-40)/(y+7))	$\frac{y^{2} - 13 y + 40}{y + 7} \div \frac{y^{2} + 3 y - 40}{y + 7}$
59533	Simplify	(y^2-14y+49)/(y^2-49)	$\frac{y^{2} - 14 y + 49}{y^{2} - 49}$
59534	Simplify	(y^2-15y+54)/(y+3)*((y+3)/(y^2+2y-48))	$\frac{y^{2} - 15 y + 54}{y + 3} \cdot (\frac{y + 3}{y^{2} + 2 y - 48})$
59535	Simplify	(y^2-16)/(y^2-2y-8)*(y+2)/y	$\frac{y^{2} - 16}{y^{2} - 2 y - 8} \cdot \frac{y + 2}{y}$
59536	Simplify	(y^2-16)/(y^2-y)*(y^2)/(y^2-5y+4)	$\frac{y^{2} - 16}{y^{2} - y} \cdot \frac{y^{2}}{y^{2} - 5 y + 4}$
59537	Simplify	(y^2-16)/(5y)*(3y)/(y+4)	$\frac{y^{2} - 16}{5 y} \cdot \frac{3 y}{y + 4}$
59538	Simplify	((y^2-16)/8)÷((y^2-y-12)/(y^2-8y+16))	$\frac{y^{2} - 16}{8} \div \frac{y^{2} - y - 12}{y^{2} - 8 y + 16}$
59539	Simplify	(y^2-25)/(y^2+5y)*(4y-12)/(yz-2y-5z+10)	$\frac{y^{2} - 25}{y^{2} + 5 y} \cdot \frac{4 y - 12}{y z - 2 y - 5 z + 10}$
59540	Simplify	((y^2-2y+1)/7)÷(y-1)	$\frac{y^{2} - 2 y + 1}{7} \div (y - 1)$
59541	Simplify	(y^2-36)/(y^2-3y-18)	$\frac{y^{2} - 36}{y^{2} - 3 y - 18}$
59542	Simplify	(y^2-36)/(2y+16)*(y+8)/(y-6)	$\frac{y^{2} - 36}{2 y + 16} \cdot \frac{y + 8}{y - 6}$
59543	Simplify	((y^2-36)/y)÷((y-6)/(y+5))	$\frac{y^{2} - 36}{y} \div \frac{y - 6}{y + 5}$
59544	Simplify	(y^2-4)/(y^2-4y+4)	$\frac{y^{2} - 4}{y^{2} - 4 y + 4}$
59545	Simplify	(y^2-4)/(y^2-7y+12)-2/(y-4)	$\frac{y^{2} - 4}{y^{2} - 7 y + 12} - \frac{2}{y - 4}$
59546	Simplify	((y^2-4)/(4y+8))÷((2y^2-8y+8)/(8y+16))	$\frac{y^{2} - 4}{4 y + 8} \div \frac{2 y^{2} - 8 y + 8}{8 y + 16}$
59547	Simplify	(y^2-49)/(3y^2-15y-42)	$\frac{y^{2} - 49}{3 y^{2} - 15 y - 42}$
59548	Simplify	(y^2-4y)/3*y/(y-4)	$\frac{y^{2} - 4 y}{3} \cdot \frac{y}{y - 4}$
59549	Simplify	((y^2-4y-12)/(2y^2-72))÷((y^2+8y+12)/(y^2+12y+36))	$\frac{y^{2} - 4 y - 12}{2 y^{2} - 72} \div \frac{y^{2} + 8 y + 12}{y^{2} + 12 y + 36}$
59550	Simplify	(y^2-4y-5)/(y^2-5y-6)(y^2-4-12)/(y^2-3y-10)	$\frac{y^{2} - 4 y - 5}{y^{2} - 5 y - 6} \cdot \frac{y^{2} - 4 \cdot - 12}{y^{2} - 3 y - 10}$
59551	Simplify	(y^2-5y+6)/(y^2-4)	$\frac{y^{2} - 5 y + 6}{y^{2} - 4}$
59552	Simplify	(y^2-5y-14)/(y^2-7y)	$\frac{y^{2} - 5 y - 14}{y^{2} - 7 y}$
59553	Simplify	((y^2-64)/y)÷((y+8)/(y+5))	$\frac{y^{2} - 64}{y} \div \frac{y + 8}{y + 5}$
59554	Simplify	((y^2-7y+10)/(y+3))÷((y^2+4y-45)/(y+3))	$\frac{y^{2} - 7 y + 10}{y + 3} \div \frac{y^{2} + 4 y - 45}{y + 3}$
59555	Simplify	(y^2-7y-30)/(y^2-6y-40)*(2y^2+5y+2)/(2y^2+7y+3)	$\frac{y^{2} - 7 y - 30}{y^{2} - 6 y - 40} \cdot \frac{2 y^{2} + 5 y + 2}{2 y^{2} + 7 y + 3}$
59556	Simplify	(y^2-81)/(6y^2-36y-162)	$\frac{y^{2} - 81}{6 y^{2} - 36 y - 162}$
59557	Simplify	(y^2-8y+15)/(y^2+2y-35)	$\frac{y^{2} - 8 y + 15}{y^{2} + 2 y - 35}$
59558	Simplify	(y^2-8y+16)/y*(y+5)/(y^2+y-20)	$\frac{y^{2} - 8 y + 16}{y} \cdot \frac{y + 5}{y^{2} + y - 20}$
59559	Simplify	(y^2-9)/(5y)*(3y)/(y-3)	$\frac{y^{2} - 9}{5 y} \cdot \frac{3 y}{y - 3}$
59560	Simplify	((y^2-y-2)/(y+8))÷((y^2-2y-3)/(y-4))	$\frac{y^{2} - y - 2}{y + 8} \div \frac{y^{2} - 2 y - 3}{y - 4}$
59561	Simplify	(y^2-y-6)/(2y^2+13y+6)*(2y^2-11y-6)/(y^2+5y+6)	$\frac{y^{2} - y - 6}{2 y^{2} + 13 y + 6} \cdot \frac{2 y^{2} - 11 y - 6}{y^{2} + 5 y + 6}$
59562	Subtract	6-9	$6 - 9$
59563	Simplify	(y^3)/(2z^3-y^2)	$\frac{y^{3}}{2 z^{3} - y^{2}}$
59564	Simplify	(y^3+12y^2+14y+1)/(y+2)	$\frac{y^{3} + 12 y^{2} + 14 y + 1}{y + 2}$
59565	Simplify	(y^3+8)/(y^2-2y+4)*2/(y^2-4)	$\frac{y^{3} + 8}{y^{2} - 2 y + 4} \cdot \frac{2}{y^{2} - 4}$
59566	Simplify	(y^3-27)/(y^2+y-56)*(y^2+11y+24)/(y^2-9)	$\frac{y^{3} - 27}{y^{2} + y - 56} \cdot \frac{y^{2} + 11 y + 24}{y^{2} - 9}$
59567	Simplify	((y^3-27)/(y^3+27))÷((y^2-9)/(y^2-3y+9))	$\frac{y^{3} - 27}{y^{3} + 27} \div \frac{y^{2} - 9}{y^{2} - 3 y + 9}$
59568	Simplify	((y^3-8)/(y^2+2y+4))÷(y^2-4)	$\frac{y^{3} - 8}{y^{2} + 2 y + 4} \div (y^{2} - 4)$
59569	Simplify	(y^3-8)/(y^2+6y-16)*(y^2+8y)/(y^3+2y^2+4y)	$\frac{y^{3} - 8}{y^{2} + 6 y - 16} \cdot \frac{y^{2} + 8 y}{y^{3} + 2 y^{2} + 4 y}$
59570	Simplify	(y^4c^5)/(y^6c)	$\frac{y^{4} c^{5}}{y^{6} c}$
59571	Simplify	(y^4)/(y^10)	$\frac{y^{4}}{y^{10}}$
59572	Simplify	(y^4)/(y^-4)	$\frac{y^{4}}{y^{- 4}}$
59573	Simplify	(y^4)/(5y^-2)	$\frac{y^{4}}{5 y^{- 2}}$
59574	Simplify	(y^4+12y^3+35y^2+72y+84)/(y+2)	$\frac{y^{4} + 12 y^{3} + 35 y^{2} + 72 y + 84}{y + 2}$
59575	Simplify	((y^4-8y^3+5y^2-40y)/(7y^3+56y^2+2y+16))÷((y^3-2y^2+5y-10)/(7y^3-14y^2+2y-4))	$\frac{y^{4} - 8 y^{3} + 5 y^{2} - 40 y}{7 y^{3} + 56 y^{2} + 2 y + 16} \div \frac{y^{3} - 2 y^{2} + 5 y - 10}{7 y^{3} - 14 y^{2} + 2 y - 4}$
59576	Simplify	(y^5z^2)/(y^2z^3)	$\frac{y^{5} z^{2}}{y^{2} z^{3}}$
59577	Simplify	(y^5z^3)/(y^5z^4)	$\frac{y^{5} z^{3}}{y^{5} z^{4}}$
59578	Simplify	(y^5)/(y^2)	$\frac{y^{5}}{y^{2}}$
59579	Simplify	(y^5)/(z^6)(z^2c^-7)/(y^2*c^9)	$\frac{y^{5}}{z^{6}} \cdot \frac{z^{2} \cdot c^{- 7}}{y^{2} \cdot c^{9}}$
59580	Simplify	(y^(5m))/(y^6m)	$\frac{y^{5 m}}{y^{6} m}$
59581	Simplify	(y^6y^4)/(y^2)	$\frac{y^{6} y^{4}}{y^{2}}$
59582	Simplify	(y^6z^7)/(yz^3)	$\frac{y^{6} z^{7}}{y z^{3}}$
59583	Simplify	( square root of 7)/2	$\frac{\sqrt{7}}{2}$
59584	Simplify	( square root of 7)^2+14^2	${(\sqrt{7})}^{2} + 14^{2}$
59585	Simplify	( square root of 72)/(3y)+(3 square root of 8)/(4y)	$\frac{\sqrt{72}}{3 y} + \frac{3 \sqrt{8}}{4 y}$
59586	Simplify	( square root of 73)/( square root of 3)	$\frac{\sqrt{73}}{\sqrt{3}}$
59587	Simplify	( square root of -80)/( square root of -5)	$\frac{\sqrt{- 80}}{\sqrt{- 5}}$
59588	Simplify	( square root of 84)/( square root of 7)	$\frac{\sqrt{84}}{\sqrt{7}}$
59589	Simplify	( square root of 85)/( square root of 5)	$\frac{\sqrt{85}}{\sqrt{5}}$
59590	Simplify	16x^3 square root of x+16 square root of x^7	$16 x^{3} \sqrt{x} + 16 \sqrt{x^{7}}$
59591	Simplify	16x^2-7x^2-15	$16 x^{2} - 7 x^{2} - 15$
59592	Simplify	( square root of t-8)/( square root of t+8)	$\frac{\sqrt{t} - 8}{\sqrt{t} + 8}$
59593	Simplify	( square root of y)/( square root of 13+ square root of 11)*( square root of 13- square root of 11)/( square root of 13- square root of 11)	$\frac{\sqrt{y}}{\sqrt{13} + \sqrt{11}} \cdot \frac{\sqrt{13} - \sqrt{11}}{\sqrt{13} - \sqrt{11}}$
59594	Simplify	( square root of y+2)^2+5	${(\sqrt{y + 2})}^{2} + 5$
59595	Simplify	( square root of y+8)^2+7	${(\sqrt{y + 8})}^{2} + 7$
59596	Simplify	(v^2-14v+45)/(v^2-1)	$\frac{v^{2} - 14 v + 45}{v^{2} - 1}$
59597	Simplify	(v^4z^3)/(v^5z^2)	$\frac{v^{4} z^{3}}{v^{5} z^{2}}$
59598	Simplify	(10 root of 1/10)^2	${(\sqrt[10]{\frac{1}{10}})}^{2}$
59599	Simplify	( cube root of 2(28)+2(30))/10	$\frac{\sqrt[3]{2 (28) + 2 (30)}}{10}$
59600	Simplify	-( cube root of 2z^4)/8+ cube root of (128z^4)/64	$- \frac{\sqrt[3]{2 z^{4}}}{8} + \sqrt[3]{\frac{128 z^{4}}{64}}$