Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
31001	Find the Parabola with Focus F(-6,0) and Directrix x=6	(-6,0) ; x=6	$F (- 6, 0)$ ; $x = 6$
31002	Solve for x	7x-8=3x+12	$7 x - 8 = 3 x + 12$
31003	Find the Parabola with Focus (6,0) and Directrix y=-10	(6,0) y=-10	$(6, 0)$ $y = - 10$
31004	Solve for x	9x^2-5x-1=0	$9 x^{2} - 5 x - 1 = 0$
31005	Find the Parabola with Focus (0,-5) and Directrix y=-3	(0,-5) y=-3	$(0, - 5)$ $y = - 3$
31006	Solve for x	9(x-3)=-3(2x+4)	$9 (x - 3) = - 3 (2 x + 4)$
31007	Solve for x	natural log of 4x-1=36	$\ln (4 x - 1) = 36$
31008	Solve for x	5x+2=2x-10	$5 x + 2 = 2 x - 10$
31009	Find the Dimensions	[[23,2,1],[2,19,-3]]	$[\begin{array}{c} 23 & 2 & 1 \\ 2 & 19 & - 3 \end{array}]$
31010	Solve for x	6x^2-7x-2=0	$6 x^{2} - 7 x - 2 = 0$
31011	Solve for x	6(4x+5)=3(x+8)+3	$6 (4 x + 5) = 3 (x + 8) + 3$
31012	Determine if Odd, Even, or Neither	x^6-x^10+1	$x^{6} - x^{10} + 1$
31013	Solve for x	6=1/3x+5	$6 = \frac{1}{3} x + 5$
31014	Simplify	(8-3i)(8+3i)	$(8 - 3 i) (8 + 3 i)$
31015	Determine if Odd, Even, or Neither	x^4-23x^2+112	$x^{4} - 23 x^{2} + 112$
31016	Simplify	9r^3+5r^2+11r+(-2r^3+9r-8r^2)	$9 r^{3} + 5 r^{2} + 11 r + (- 2 r^{3} + 9 r - 8 r^{2})$
31017	Determine if Odd, Even, or Neither	x^4-4x^2-1	$x^{4} - 4 x^{2} - 1$
31018	Simplify	(9x^2y^3)(12x^-3y^5)(2xy)	$(9 x^{2} y^{3}) (12 x^{- 3} y^{5}) (2 x y)$
31019	Determine if Odd, Even, or Neither	x^4-x^10+1	$x^{4} - x^{10} + 1$
31020	Simplify	(m+6)(m-7)	$(m + 6) (m - 7)$
31021	Determine if Odd, Even, or Neither	-4x^3+4x	$- 4 x^{3} + 4 x$
31022	Simplify	((x^2)/(x^-11))^(1/3)	${(\frac{x^{2}}{x^{- 11}})}^{\frac{1}{3}}$
31023	Determine if Odd, Even, or Neither	3x^4-6x^3	$3 x^{4} - 6 x^{3}$
31024	Simplify	(1/x)^2	${(\frac{1}{x})}^{2}$
31025	Determine if Odd, Even, or Neither	3x-\|3x\|	$3 x - \| 3 x \|$
31026	Simplify	(x+y)(x^2-3xy+2y^2)	$(x + y) (x^{2} - 3 x y + 2 y^{2})$
31027	Determine if Odd, Even, or Neither	-6x^5+7x^3	$- 6 x^{5} + 7 x^{3}$
31028	Determine if Odd, Even, or Neither	7x^4-2x^3	$7 x^{4} - 2 x^{3}$
31029	Simplify	(x-5i)(x+5i)	$(x - 5 i) (x + 5 i)$
31030	Find the Inverse	f(x)=7x^2+13	$f (x) = 7 x^{2} + 13$
31031	Simplify	(y+3)(y-3)	$(y + 3) (y - 3)$
31032	Simplify	(y-3)(y+3)	$(y - 3) (y + 3)$
31033	Find the Inverse	f(x)=6-4x	$f (x) = 6 - 4 x$
31034	Simplify	(y-4)(y+4)	$(y - 4) (y + 4)$
31035	Find the Inverse	f(x)=x^2+4 , x>=0	$f (x) = x^{2} + 4$ , $x \geq 0$
31036	Simplify	(x-2)(x-6)	$(x - 2) (x - 6)$
31037	Simplify	(x+y+2)(y+1)	$(x + y + 2) (y + 1)$
31038	Simplify	((3x)/y)^-3	${(\frac{3 x}{y})}^{- 3}$
31039	Find the Inverse	f(x)=-x^2+6 , x>=0	$f (x) = - x^{2} + 6$ , $x \geq 0$
31040	Simplify	(2^2y^3)^5	${(2^{2} y^{3})}^{5}$
31041	Find the Inverse	f(x)=x^2-14 , x>=0	$f (x) = x^{2} - 14$ , $x \geq 0$
31042	Simplify	(2^3x^2)^5	${(2^{3} x^{2})}^{5}$
31043	Simplify	(x^3)^8	${(x^{3})}^{8}$
31044	Find the Inverse	log base 8 of x	$\log_{8} (x)$
31045	Simplify	(y^5)^3	${(y^{5})}^{3}$
31046	Simplify	(x^(2/3)y^(-1/6))^-12	${(x^{\frac{2}{3}} y^{- \frac{1}{6}})}^{- 12}$
31047	Simplify	(100x^8)^(1/2)	${(100 x^{8})}^{\frac{1}{2}}$
31048	Simplify	-(14x)^0y^-7z	$- {(14 x)}^{0} y^{- 7} z$
31049	Simplify	(16u^2)^(3/2)	${(16 u^{2})}^{\frac{3}{2}}$
31050	Find the Inverse	4/(7+x)	$\frac{4}{7 + x}$
31051	Simplify	(2x^2)^5	${(2 x^{2})}^{5}$
31052	Simplify	(-3+5i)-(7+9i)	$(- 3 + 5 i) - (7 + 9 i)$
31053	Find the Inverse	2/x-6	$\frac{2}{x} - 6$
31054	Solve for x	x^2-2x-2=0	$x^{2} - 2 x - 2 = 0$
31055	Find the Inverse	1/(x-9)	$\frac{1}{x - 9}$
31056	Find the Inverse	12/x-18	$\frac{12}{x} - 18$
31057	Solve for x	x^2-x-1=0	$x^{2} - x - 1 = 0$
31058	Find the Inverse	1/2x-6	$\frac{1}{2} x - 6$
31059	Solve for x	x^2-x-72=0	$x^{2} - x - 72 = 0$
31060	Find the Inverse	1/4x-5	$\frac{1}{4} x - 5$
31061	Factor	16a^2-4b^2	$16 a^{2} - 4 b^{2}$
31062	Find the Inverse	1/4x-3/4	$\frac{1}{4} x - \frac{3}{4}$
31063	Solve for x	x^2+6x+13=0	$x^{2} + 6 x + 13 = 0$
31064	Find the Inverse	1/5x+4	$\frac{1}{5} x + 4$
31065	Solve for x	x^2+6x-2=0	$x^{2} + 6 x - 2 = 0$
31066	Find the Inverse	(7x)/(x+8)	$\frac{7 x}{x + 8}$
31067	Graph	y=x^2+10x+16	$y = x^{2} + 10 x + 16$
31068	Find the Inverse	(9x-2)^3	${(9 x - 2)}^{3}$
31069	Solve for x	x^2+14x+49=0	$x^{2} + 14 x + 49 = 0$
31070	Find the Inverse	x/(x-20)	$\frac{x}{x - 20}$
31071	Solve for b	4b+6=2-b+4	$4 b + 6 = 2 - b + 4$
31072	Find the Inverse	6/(x-5)	$\frac{6}{x - 5}$
31073	Find the Inverse	7/x-9	$\frac{7}{x} - 9$
31074	Solve for x	x^2+12x+35=0	$x^{2} + 12 x + 35 = 0$
31075	Find the Inverse	5/3x-2	$\frac{5}{3} x - 2$
31076	Solve for x	2x^2+3x-2=0	$2 x^{2} + 3 x - 2 = 0$
31077	Find the Inverse	5/(x-2)	$\frac{5}{x - 2}$
31078	Find the Inverse	18 root of x	$\sqrt[18]{x}$
31079	Solve for x	2x^2+7x-4=0	$2 x^{2} + 7 x - 4 = 0$
31080	Solve for x	3x^2=21	$3 x^{2} = 21$
31081	Find the Inverse	(x-5)/6	$\frac{x - 5}{6}$
31082	Solve for x	4-x/(x-2)=-2/(x-2)	$4 - \frac{x}{x - 2} = \frac{- 2}{x - 2}$
31083	Find the Inverse	(x+2)/7	$\frac{x + 2}{7}$
31084	Find the Inverse	(x+3)/(x-7)	$\frac{x + 3}{x - 7}$
31085	Graph	x=1/12y^2	$x = \frac{1}{12} y^{2}$
31086	Find the Inverse	(x+1)/6	$\frac{x + 1}{6}$
31087	Find the Inverse	(x+9)/(x-8)	$\frac{x + 9}{x - 8}$
31088	Find the Inverse	(x+8)/(x-5)	$\frac{x + 8}{x - 5}$
31089	Simplify	x-x	$x - x$
31090	Find the Inverse	(x+7)/5	$\frac{x + 7}{5}$
31091	Solve for y	y=-6	$y = - 6$
31092	Find the Inverse	(x+4)/(x-9)	$\frac{x + 4}{x - 9}$
31093	Solve for x	y=4^x	$y = 4^{x}$
31094	Find the Inverse	(x+4)/(x-7)	$\frac{x + 4}{x - 7}$
31095	Solve for x	y=1/x	$y = \frac{1}{x}$
31096	Find the Inverse	square root of 8+x	$\sqrt{8 + x}$
31097	Simplify	(x^2+xy+y^2)(x-y)	$(x^{2} + x y + y^{2}) (x - y)$
31098	Find the Inverse	square root of 8x+9	$\sqrt{8 x + 9}$
31099	Simplify	(10+15i)-(48-30i)	$(10 + 15 i) - (48 - 30 i)$
31100	Find the Inverse	square root of 2x+4	$\sqrt{2 x + 4}$