Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
3001	Find the Domain	(n-10)/(4n^2)*(n^2-36)/(n^2-4n-60)	$\frac{n - 10}{4 n^{2}} \cdot \frac{n^{2} - 36}{n^{2} - 4 n - 60}$
3002	Find the Domain	p^2+2q^2=11	$p^{2} + 2 q^{2} = 11$
3003	Find the Domain	R^3	$R^{3}$
3004	Find the Domain	ax^2+bx+c	$a x^{2} + b x + c$
3005	Find the Domain	ax^2+bx=0	$a x^{2} + b x = 0$
3006	Find the Domain	d^2-2d=0	$d^{2} - 2 d = 0$
3007	Find the Domain	9/2x-1/2=71/2	$\frac{9}{2} x - \frac{1}{2} = \frac{71}{2}$
3008	Find the Domain	9x^2-6x+1=0	$9 x^{2} - 6 x + 1 = 0$
3009	Find the Domain	(9x-36)/(7x-28)	$\frac{9 x - 36}{7 x - 28}$
3010	Find the Domain	a^2+3a=0	$a^{2} + 3 a = 0$
3011	Find the Domain	a^2+7a+10	$a^{2} + 7 a + 10$
3012	Find the Domain	a^2+8a-308=0	$a^{2} + 8 a - 308 = 0$
3013	Find the Domain	a^2-8a-4	$a^{2} - 8 a - 4$
3014	Find the Domain	(a-6)/12=(a-2)/4	$\frac{a - 6}{12} = \frac{a - 2}{4}$
3015	Find the Domain	(a-b)/(a+b+c)=(a-2b+c)/(a-b)	$\frac{a - b}{a + b + c} = \frac{a - 2 b + c}{a - b}$
3016	Find the Domain	((6-2x)/(2x+8))÷(9-3x)	$\frac{6 - 2 x}{2 x + 8} \div (9 - 3 x)$
3017	Find the Domain	(6x)/((x^2-4)/((3x-9)/(2x+4)))	$\frac{6 x}{\frac{x^{2} - 4}{\frac{3 x - 9}{2 x + 4}}}$
3018	Find the Domain	(6x+5)/(2x+7)	$\frac{6 x + 5}{2 x + 7}$
3019	Find the Domain	7/5+28/x	$\frac{7}{5} + \frac{28}{x}$
3020	Find the Domain	7/8x+1/4=3/4x	$\frac{7}{8} x + \frac{1}{4} = \frac{3}{4} x$
3021	Find the Domain	(7a)/3-(-1+3a)=8+(4a)/3	$\frac{7 a}{3} - (- 1 + 3 a) = 8 + \frac{4 a}{3}$
3022	Find the Domain	7x^3-21x^2-91x+104	$7 x^{3} - 21 x^{2} - 91 x + 104$
3023	Find the Domain	(7x-21)/(5x+15)*(14x+42)/(10x-30)	$\frac{7 x - 21}{5 x + 15} \cdot \frac{14 x + 42}{10 x - 30}$
3024	Find the Domain	8/x=5/20	$\frac{8}{x} = \frac{5}{20}$
3025	Find the Domain	2/a=(1-a)/(2a-9)	$\frac{2}{a} = \frac{1 - a}{2 a - 9}$
3026	Find the Domain	1/2*sin(2x-pi/3)+1	$\frac{1}{2} \cdot \sin (2 x - \frac{π}{3}) + 1$
3027	Find the Domain	1/2x-1/3y=1	$\frac{1}{2} x - \frac{1}{3} y = 1$
3028	Find the Domain	1/2x+1/3=1/6	$\frac{1}{2} x + \frac{1}{3} = \frac{1}{6}$
3029	Find the Domain	1/(2w)+2=4	$\frac{1}{2 w} + 2 = 4$
3030	Find the Domain	1/(3x^2-27)	$\frac{1}{3 x^{2} - 27}$
3031	Find the Domain	2/(x-2)=8/(x+13)	$\frac{2}{x - 2} = \frac{8}{x + 13}$
3032	Find the Domain	2^(2x)-10*2^x+16=0	$2^{2 x} - 10 \cdot 2^{x} + 16 = 0$
3033	Find the Domain	2^(3y-2)=3^(2y+5)	$2^{3 y - 2} = 3^{2 y + 5}$
3034	Find the Domain	200/(2+x^2)	$\frac{200}{2 + x^{2}}$
3035	Find the Domain	23/(6x-24)	$\frac{23}{6 x - 24}$
3036	Find the Domain	27^(4/3)a9^(-1/2)a32^(2/5)	$27^{\frac{4}{3}} a \cdot 9^{- \frac{1}{2}} a \cdot 32^{\frac{2}{5}}$
3037	Find the Domain	(2pi)/(pi-7)	$\frac{2 π}{π - 7}$
3038	Find the Domain	(2x)/(y^3)(dx)+(y^2+3^(x^2))/(y^4)(dy)=0	$\frac{2 x}{y^{3}} \cdot (d x) + \frac{y^{2} + 3^{x^{2}}}{y^{4}} \cdot (d y) = 0$
3039	Find the Domain	(2x)/(2x+3)-(2x)/(2x-3)=1	$\frac{2 x}{2 x + 3} - \frac{2 x}{2 x - 3} = 1$
3040	Find the Domain	(2x-3)/(x^2+1)	$\frac{2 x - 3}{x^{2} + 1}$
3041	Find the Domain	(2x-6)/7	$\frac{2 x - 6}{7}$
3042	Find the Domain	1/3*(c-2)=7/3	$\frac{1}{3} \cdot (c - 2) = \frac{7}{3}$
3043	Find the Domain	1/3x-1/4x+1/12x=3	$\frac{1}{3} x - \frac{1}{4} x + \frac{1}{12} x = 3$
3044	Find the Domain	1/3x-1/4y-2	$\frac{1}{3} x - \frac{1}{4} y - 2$
3045	Find the Domain	1/3x-1/6y=-2/3	$\frac{1}{3} x - \frac{1}{6} y = - \frac{2}{3}$
3046	Find the Domain	-1/3y+4x=3	$- \frac{1}{3} y + 4 x = 3$
3047	Find the Domain	1/3y=4	$\frac{1}{3} y = 4$
3048	Find the Domain	1/4x-2	$\frac{1}{4} x - 2$
3049	Find the Domain	1/4x-y=6	$\frac{1}{4} x - y = 6$
3050	Find the Domain	1/49x^2+1/9y^2=1	$\frac{1}{49} x^{2} + \frac{1}{9} y^{2} = 1$
3051	Find the Domain	1/(4x)+8	$\frac{1}{4 x} + 8$
3052	Find the Domain	1/(6k^2)=1/(3k^2)-1/k	$\frac{1}{6 k^{2}} = \frac{1}{3 k^{2}} - \frac{1}{k}$
3053	Find the Domain	1/81x^6-8/27x^3+16/9	$\frac{1}{81} x^{6} - \frac{8}{27} x^{3} + \frac{16}{9}$
3054	Find the Domain	1/9X=3	$\frac{1}{9} X = 3$
3055	Find the Domain	3/5=3/10d-12	$\frac{3}{5} = \frac{3}{10} d - 12$
3056	Find the Domain	-3/5x+4/5=5/3x-13/3	$- \frac{3}{5} x + \frac{4}{5} = \frac{5}{3} x - \frac{13}{3}$
3057	Find the Domain	3/x+6/(x-2)=12/(x^2-2x)	$\frac{3}{x} + \frac{6}{x - 2} = \frac{12}{x^{2} - 2 x}$
3058	Find the Domain	3^(x+1)+3^(x-2)-3^(x-3)+3^(x-4)=750	$3^{x + 1} + 3^{x - 2} - 3^{x - 3} + 3^{x - 4} = 750$
3059	Find the Domain	(30x^3-63x^2+45x)/(4x^4-8x^3+7x^2-12x+9)	$\frac{30 x^{3} - 63 x^{2} + 45 x}{4 x^{4} - 8 x^{3} + 7 x^{2} - 12 x + 9}$
3060	Find the Domain	350/(-4x^2)	$\frac{350}{- 4 x^{2}}$
3061	Find the Domain	37/(k^2-k-30)	$\frac{37}{k^{2} - k - 30}$
3062	Find the Domain	(3a+2)/(2a-4)	$\frac{3 a + 2}{2 a - 4}$
3063	Find the Domain	(3ax-n)/5=-4	$\frac{3 a x - n}{5} = - 4$
3064	Find the Domain	(3q-2)/5=-4	$\frac{3 q - 2}{5} = - 4$
3065	Find the Domain	(3r-9)/(4r^2+8r)*(2r+4)/(18-6r)	$\frac{3 r - 9}{4 r^{2} + 8 r} \cdot \frac{2 r + 4}{18 - 6 r}$
3066	Find the Domain	(3x+6)/3-(2x-6)/5=2	$\frac{3 x + 6}{3} - \frac{2 x - 6}{5} = 2$
3067	Find the Domain	(3x-7)/(2x+1)	$\frac{3 x - 7}{2 x + 1}$
3068	Find the Domain	4/5x=36	$\frac{4}{5} x = 36$
3069	Find the Domain	4/5x=6	$\frac{4}{5} x = 6$
3070	Find the Domain	4/(5K)+1/(10K)=180	$\frac{4}{5 K} + \frac{1}{10 K} = 180$
3071	Find the Domain	4/p=16/24	$\frac{4}{p} = \frac{16}{24}$
3072	Find the Domain	4^x+2^(x+1)-48=0	$4^{x} + 2^{x + 1} - 48 = 0$
3073	Find the Domain	4^x+32=12*2^x	$4^{x} + 32 = 12 \cdot 2^{x}$
3074	Find the Domain	(4+9y)/7=7	$\frac{4 + 9 y}{7} = 7$
3075	Find the Domain	(48x^7-32x^5-56x^3)/(8x^3)	$\frac{48 x^{7} - 32 x^{5} - 56 x^{3}}{8 x^{3}}$
3076	Find the Domain	(4x-1)/(2x+1)	$\frac{4 x - 1}{2 x + 1}$
3077	Find the Domain	(4x-3)/5-(2x-3)/2=-2	$\frac{4 x - 3}{5} - \frac{2 x - 3}{2} = - 2$
3078	Find the Domain	(4y)/5	$\frac{4 y}{5}$
3079	Find the Domain	(5x^2+4)/(2x^2-7)	$\frac{5 x^{2} + 4}{2 x^{2} - 7}$
3080	Find the Domain	5/(2y)-1/y	$\frac{5}{2 y} - \frac{1}{y}$
3081	Find the Domain	5/3x=1	$\frac{5}{3} x = 1$
3082	Find the Domain	5/(3x+6)	$\frac{5}{3 x + 6}$
3083	Find the Domain	5/(3y)+1*(-3/(4y))+5/2	$\frac{5}{3 y} + 1 \cdot (- \frac{3}{4 y}) + \frac{5}{2}$
3084	Find the Domain	5/7=(is)/49	$\frac{5}{7} = \frac{i s}{49}$
3085	Find the Domain	(52-x)/6	$\frac{52 - x}{6}$
3086	Find the Domain	(5x)/6+(3y)/8=-1	$\frac{5 x}{6} + \frac{3 y}{8} = - 1$
3087	Find the Domain	(5x)/9-8=x	$\frac{5 x}{9} - 8 = x$
3088	Find the Domain	(5x+38x+21)/(3x^2+22x+7)	$\frac{5 x + 38 x + 21}{3 x^{2} + 22 x + 7}$
3089	Find the Domain	(5x-10)/7	$\frac{5 x - 10}{7}$
3090	Find the Domain	(5x-8)/(x^2-25)	$\frac{5 x - 8}{x^{2} - 25}$
3091	Find the Domain	(5y-45)/(y^2-81)	$\frac{5 y - 45}{y^{2} - 81}$
3092	Find the Domain	-6/13x	$- \frac{6}{13} x$
3093	Find the Domain	10y=16x-5	$10 y = 16 x - 5$
3094	Find the Domain	11900=1200(1.0625^t)	$11900 = 1200 ({1.0625}^{t})$
3095	Find the Domain	11k-15k	$11 k - 15 k$
3096	Find the Domain	-11x+9y=12	$- 11 x + 9 y = 12$
3097	Find the Domain	11x=2y-5	$11 x = 2 y - 5$
3098	Find the Domain	12abc^2-30a^2bc+12ab^2c	$12 a b c^{2} - 30 a^{2} b c + 12 a b^{2} c$
3099	Find the Domain	12e^((-t)/6)=0	$12 e^{\frac{- t}{6}} = 0$
3100	Find the Domain	12-5x=7x	$12 - 5 x = 7 x$