Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
161901	Solve the Inequality for x	-6(4-x)<=-4(x+1)	$- 6 (4 - x) \leq - 4 (x + 1)$
161902	Find the Midpoint	(5,8) and (-1,-4)	$(5, 8)$ and $(- 1, - 4)$
161903	Factor	xy-xz	$x y - x z$
161904	Solve for x	(x-a)m=y	$(x - a) m = y$
161905	Simplify	( square root of 12x^6)/( square root of 3x^4)* square root of 4x^2	$\frac{\sqrt{12 x^{6}}}{\sqrt{3 x^{4}}} \cdot \sqrt{4 x^{2}}$
161906	Find the Intersection of the Line Perpendicular to Plane 1 Through the Origin and Plane 2	3x-y=-4 , x-2y=-3	$3 x - y = - 4$ , $x - 2 y = - 3$
161907	Solve for x	6/x+2/5=8	$\frac{6}{x} + \frac{2}{5} = 8$
161908	Factor	y^5-x^5y^2	$y^{5} - x^{5} y^{2}$
161909	Solve the System of Equations	-4x-5y-z=18 -2x-5y-2z=12 -2x+5y+2z=4	$- 4 x - 5 y - z = 18$ $- 2 x - 5 y - 2 z = 12$ $- 2 x + 5 y + 2 z = 4$
161910	Evaluate	2^x=32	$2^{x} = 32$
161911	Solve for x	x^2-x=3x	$x^{2} - x = 3 x$
161912	Factor	xy^5+x^5y	$x y^{5} + x^{5} y$
161913	Solve the Inequality for x	1/(2x+5)-5<0	$\frac{1}{2 x + 5} - 5 < 0$
161914	Simplify	(7x+1)/(x^2-36)+(3x)/(x+6)	$\frac{7 x + 1}{x^{2} - 36} + \frac{3 x}{x + 6}$
161915	Find the Holes in the Graph	f(x)=(5x^2-25x)/(-4x^2)	$f (x) = \frac{5 x^{2} - 25 x}{- 4 x^{2}}$
161916	Factor	xy+x^2y^2	$x y + x^{2} y^{2}$
161917	Solve the System of Inequalities	5x-4<=-29 or 5x-4>=16	$5 x - 4 \leq - 29$ or $5 x - 4 \geq 16$
161918	Solve the Inequality for x	x+5<=-4	$x + 5 \leq - 4$
161919	Simplify	(-2c^2d^10)/((-12c^3d^7)(18c^9d^8))	$\frac{- 2 c^{2} d^{10}}{(- 12 c^{3} d^{7}) (18 c^{9} d^{8})}$
161920	Solve for x	m=n+x/p	$m = n + \frac{x}{p}$
161921	Factor	a^3(a-b+1)-b^2(a-b+1)	$a^{3} (a - b + 1) - b^{2} (a - b + 1)$
161922	Solve the System of Inequalities	16<-2x-4 or -2x-4<=-28	$16 < - 2 x - 4$ or $- 2 x - 4 \leq - 28$
161923	Factor	a^6-2a^3b^3+b^6	$a^{6} - 2 a^{3} b^{3} + b^{6}$
161924	Simplify	(x^4+6x^3)/(8x)	$\frac{x^{4} + 6 x^{3}}{8 x}$
161925	Simplify	2(5+3x)+(x+10)	$2 (5 + 3 x) + (x + 10)$
161926	Simplify	2 square root of 2(-4- square root of 13)	$2 \sqrt{2} (- 4 - \sqrt{13})$
161927	Factor	xy^4+x^4y^5	$x y^{4} + x^{4} y^{5}$
161928	Simplify	((x^2-9x+20)/(x-5))÷((x^2-16)/(x^2+4x))	$\frac{x^{2} - 9 x + 20}{x - 5} \div \frac{x^{2} - 16}{x^{2} + 4 x}$
161929	Solve for p	P=(144p)/y	$P = \frac{144 p}{y}$
161930	Simplify	(4x^2)/(x^3-4x^2)	$\frac{4 x^{2}}{x^{3} - 4 x^{2}}$
161931	Solve for θ	sin(2theta)=cos(theta)	$\sin (2 θ) = \cos (θ)$
161932	Find All Complex Solutions	sin(x)^2-1=0	$\sin^{2} (x) - 1 = 0$
161933	Solve for v	-(v+4)+5=4v+1-5v	$- (v + 4) + 5 = 4 v + 1 - 5 v$
161934	Solve the Inequality for m	-9m-5>2m-2	$- 9 m - 5 > 2 m - 2$
161935	Solve the System of Inequalities	2m-1>=5 or 5m>-25	$2 m - 1 \geq 5$ or $5 m > - 25$
161936	Solve Using the Quadratic Formula	f(x)=x^2-4x-5	$f (x) = x^{2} - 4 x - 5$
161937	Solve for x	2x-1/3=-x/4+6	$2 x - \frac{1}{3} = - \frac{x}{4} + 6$
161938	Graph	y=-1/4(x+2)^2+1	$y = - \frac{1}{4} {(x + 2)}^{2} + 1$
161939	Solve for x	1+8/(x-1)=(8x)/(x-1)	$1 + \frac{8}{x - 1} = \frac{8 x}{x - 1}$
161940	Solve the System of Inequalities	-18>=5x-3 or 5x-3>=42	$- 18 \geq 5 x - 3$ or $5 x - 3 \geq 42$
161941	Solve the Inequality for x	x/7>=-6	$\frac{x}{7} \geq - 6$
161942	Solve the System of Inequalities	3x-6<=24 or 30<=3x-6	$3 x - 6 \leq 24$ or $30 \leq 3 x - 6$
161943	Solve for h	V=1/3pir^2h for h	$V = \frac{1}{3} π r^{2} h$ for $h$
161944	Solve for v	(3v+12)/6=(4v)/3	$\frac{3 v + 12}{6} = \frac{4 v}{3}$
161945	Find the Holes in the Graph	f(x)=(x+3)/((x-4)(x+3))	$f (x) = \frac{x + 3}{(x - 4) (x + 3)}$
161946	Graph	f(x)=-x^2(x-4)(x+5)	$f (x) = - x^{2} (x - 4) (x + 5)$
161947	Solve the Inequality for p	2p-4<-3p-7	$2 p - 4 < - 3 p - 7$
161948	Solve for m	-m/3=-4	$- \frac{m}{3} = - 4$
161949	Simplify	square root of 8- square root of 9	$\sqrt{8} - \sqrt{9}$
161950	Find the x and y Intercepts	f(x)=(5x-20)/(x^2-9x+20)	$f (x) = \frac{5 x - 20}{x^{2} - 9 x + 20}$
161951	Graph	y=3- cube root of x	$y = 3 - \sqrt[3]{x}$
161952	Solve for m	m/3=(m+4)/7	$\frac{m}{3} = \frac{m + 4}{7}$
161953	Solve for x	\|4x-8\|-2=2x	$\| 4 x - 8 \| - 2 = 2 x$
161954	Solve by Factoring	x^2+x=-9x-16	$x^{2} + x = - 9 x - 16$
161955	Subtract	(3a+6)/(5a^2+7a-6)-5/(3a)	$\frac{3 a + 6}{5 a^{2} + 7 a - 6} - \frac{5}{3 a}$
161956	Solve for x	-(3x)/4+2/5=-5+x/6	$- \frac{3 x}{4} + \frac{2}{5} = - 5 + \frac{x}{6}$
161957	Factor	y+x^4y^5	$y + x^{4} y^{5}$
161958	Evaluate	(2-x)^2	${(2 - x)}^{2}$
161959	Solve for z	(z-6)/(2z+1)=10	$\frac{z - 6}{2 z + 1} = 10$
161960	Solve by Factoring	x^2-4x=-4x+4	$x^{2} - 4 x = - 4 x + 4$
161961	Solve for z	W=X+Xyz for z	$W = X + X y z$ for $z$
161962	Simplify	5/m-(m+8)/(m^2-4m)	$\frac{5}{m} - \frac{m + 8}{m^{2} - 4 m}$
161963	Simplify	square root of 5*-4 square root of 20	$\sqrt{5} \cdot - 4 \sqrt{20}$
161964	Simplify the Radical Expression	fourth root of x^2	$\sqrt[4]{x^{2}}$
161965	Solve the System of Inequalities	4>=x+10 or x+10>21	$4 \geq x + 10$ or $x + 10 > 21$
161966	Simplify	(8a^-1)^-1	${(8 a^{- 1})}^{- 1}$
161967	Solve the System of Equations	x-2y=3 2x-3y=9	$x - 2 y = 3$ $2 x - 3 y = 9$
161968	Divide	(x^4)/x	$\frac{x^{4}}{x}$
161969	Evaluate	((125^2)/(125^(4/3)))	$(\frac{125^{2}}{125^{\frac{4}{3}}})$
161970	Solve the Inequality for x	15<4+x	$15 < 4 + x$
161971	Solve for f	-3/4f=5/4	$- \frac{3}{4} f = \frac{5}{4}$
161972	Simplify	-4/(7i)	$\frac{- 4}{7 i}$
161973	Solve for q	(4q+5)(q-5)=0	$(4 q + 5) (q - 5) = 0$
161974	Solve for x	(x+10)^2-8=8	${(x + 10)}^{2} - 8 = 8$
161975	Simplify	y/x square root of 1/(2y)	$\frac{y}{x} \sqrt{\frac{1}{2 y}}$
161976	Simplify	square root of (36m^2)/(4m^24)	$\sqrt{\frac{36 m^{2}}{4 m^{24}}}$
161977	Solve Using the Quadratic Formula	11p^2-17p-20=p^2	$11 p^{2} - 17 p - 20 = p^{2}$
161978	Divide	(x^3)÷(x^2)	$x^{3} \div x^{2}$
161979	Evaluate Using the Given Value	e-1/2f when e=15 and f=2	$e - \frac{1}{2} f$ when $e = 15$ and $f = 2$
161980	Factor	xy-y^5	$x y - y^{5}$
161981	Simplify	(2-7i)/(3+6i)	$\frac{(2 - 7 i)}{(3 + 6 i)}$
161982	Solve the Inequality for x	x/3>=-33	$\frac{x}{3} \geq - 33$
161983	Solve the System of Inequalities	10>3x-8 or 22<=3x-8	$10 > 3 x - 8$ or $22 \leq 3 x - 8$
161984	Solve the Inequality for x	x-6<=3	$x - 6 \leq 3$
161985	Solve for x	8*2^x=1	$8 \cdot 2^{x} = 1$
161986	Solve the System of Inequalities	17<4x+1 and 49>4x+1	$17 < 4 x + 1$ and $49 > 4 x + 1$
161987	Evaluate	3-(-1)+(-1)-3	$3 - (- 1) + (- 1) - 3$
161988	Factor	243-32x^5	$243 - 32 x^{5}$
161989	Simplify	x/(x^2-49)+(3x+1)/(x+7)	$\frac{x}{x^{2} - 49} + \frac{3 x + 1}{x + 7}$
161990	Graph	y=ax^2+c	$y = a x^{2} + c$
161991	Simplify	(x^2-16)/( square root of x-2)	$\frac{x^{2} - 16}{\sqrt{x} - 2}$
161992	Solve the System of Equations	-5x+2y=9 y=7x	$- 5 x + 2 y = 9$ $y = 7 x$
161993	Simplify	(x^3+3x^2)/(3x)	$\frac{x^{3} + 3 x^{2}}{3 x}$
161994	Solve the Inequality for g	10g-8>=4g-10	$10 g - 8 \geq 4 g - 10$
161995	Solve the Inequality for x	x^2-1>=0	$x^{2} - 1 \geq 0$
161996	Simplify	(5x+2)/x+(2x)/(x+6)	$\frac{5 x + 2}{x} + \frac{2 x}{x + 6}$
161997	Solve for x	dx+e=f	$d x + e = f$
161998	Solve for x	(3x-6)/3=(7x-3)/6	$\frac{3 x - 6}{3} = \frac{7 x - 3}{6}$
161999	Simplify	(9x^3y^6)/(xy^6)	$\frac{9 x^{3} y^{6}}{x y^{6}}$
162000	Solve the System of Inequalities	-y+3<=8 and y+2>9	$- y + 3 \leq 8$ and $y + 2 > 9$