Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
3001	Solve for x	-xe^(-x)+e^(-x)=0	$- x e^{- x} + e^{- x} = 0$
3002	Solve for x	square root of 2 square root of 7x+2 = square root of 4x+2	$\sqrt{2 \sqrt{7 x + 2}} = \sqrt{4 x + 2}$
3003	Solve for x	(x-1)/(x-2)+(3x+6)/(2x+1)=3	$\frac{x - 1}{x - 2} + \frac{3 x + 6}{2 x + 1} = 3$
3004	Solve for x	x^3=1000	$x^{3} = 1000$
3005	Solve for x	x^3+6x^2+5x-12=0	$x^{3} + 6 x^{2} + 5 x - 12 = 0$
3006	Solve for x	x^3+2x^2-9x-18=0	$x^{3} + 2 x^{2} - 9 x - 18 = 0$
3007	Solve for x	x^(2-4+40)=0	$x^{2 - 4 + 40} = 0$
3008	Solve for x	x^3-3x^2+2x=0	$x^{3} - 3 x^{2} + 2 x = 0$
3009	Solve for x	x^3-3x^2=0	$x^{3} - 3 x^{2} = 0$
3010	Solve for x	x^4+x^3-6x^2-14x-12=0	$x^{4} + x^{3} - 6 x^{2} - 14 x - 12 = 0$
3011	Solve for x	x^3-8x^2+9x+18=0	$x^{3} - 8 x^{2} + 9 x + 18 = 0$
3012	Solve for x	x^4+4x^3+2x^2-x+6=0	$x^{4} + 4 x^{3} + 2 x^{2} - x + 6 = 0$
3013	Solve for x	x^4-2x^3+10x^2-50x-375=0	$x^{4} - 2 x^{3} + 10 x^{2} - 50 x - 375 = 0$
3014	Solve for x	x^4-22x^2+96=0	$x^{4} - 22 x^{2} + 96 = 0$
3015	Solve for x	x^5-81x=0	$x^{5} - 81 x = 0$
3016	Solve for x	x^6-16x^4=0	$x^{6} - 16 x^{4} = 0$
3017	Solve for x	x^6-2x^3-3=0	$x^{6} - 2 x^{3} - 3 = 0$
3018	Solve for x	x^(2/5)+x^(1/5)-2=0	$x^{\frac{2}{5}} + x^{\frac{1}{5}} - 2 = 0$
3019	Solve for x	x^(5/4)=243	$x^{\frac{5}{4}} = 243$
3020	Solve for x	x/5-x/2=3	$\frac{x}{5} - \frac{x}{2} = 3$
3021	Solve for x	square root of x-1=x-7	$\sqrt{x - 1} = x - 7$
3022	Solve for m	log of -m+2=4	$\log (- m + 2) = 4$
3023	Solve for n	1/n+1/2=5/n	$\frac{1}{n} + \frac{1}{2} = \frac{5}{n}$
3024	Solve for n	5^(-2n-3)=125	$5^{- 2 n - 3} = 125$
3025	Solve for n	9^(n+10)+3=81	$9^{n + 10} + 3 = 81$
3026	Solve for k	1.75=k/20	$1.75 = \frac{k}{20}$
3027	Solve for n	5 square root of n=n-6	$5 \sqrt{n} = n - 6$
3028	Solve for n	n(0)=1000e^(0.01(0))	$n (0) = 1000 e^{0.01 (0)}$
3029	Solve for p	(p+3)/(5-2p)=t	$\frac{p + 3}{5 - 2 p} = t$
3030	Solve for p	9^p=27	$9^{p} = 27$
3031	Solve for P	log of P = log of c-k log of W	$\log (P) = \log (c) - k \log (W)$
3032	Solve for q	s=P/(q+p(1-q))	$s = \frac{P}{q + p (1 - q)}$
3033	Solve for h	h=-16t^2+672t	$h = - 16 t^{2} + 672 t$
3034	Solve for c	7^2+5^2=c^2	$7^{2} + 5^{2} = c^{2}$
3035	Solve for a	a-5/a=4	$a - \frac{5}{a} = 4$
3036	Solve for ?	4sin(x)-3=0	$4 \sin (x) - 3 = 0$
3037	Solve for ?	4sin(x)^2+11sin(x)+7=0	$4 \sin^{2} (x) + 11 \sin (x) + 7 = 0$
3038	Solve for ?	2cos(x)=-1	$2 \cos (x) = - 1$
3039	Solve for ?	3tan(x)^2-1=0	$3 \tan^{2} (x) - 1 = 0$
3040	Solve for ?	3cos(x)+3=2sin(x)^2	$3 \cos (x) + 3 = 2 \sin^{2} (x)$
3041	Solve for ?	2sin(x)^2=3(1-cos(-x))	$2 \sin^{2} (x) = 3 (1 - \cos (- x))$
3042	Solve for ?	2cos(x)^2-7cos(x)-4=0	$2 \cos^{2} (x) - 7 \cos (x) - 4 = 0$
3043	Solve for ?	2cos(x)+ square root of 3=0	$2 \cos (x) + \sqrt{3} = 0$
3044	Solve for ?	2cos(2x)+1=0	$2 \cos (2 x) + 1 = 0$
3045	Solve for ?	2sin(x-3)^2sin(x+1)=0	$2 \sin^{2} (x - 3) \sin (x + 1) = 0$
3046	Solve for ?	cos(x)=-1/3	$\cos (x) = - \frac{1}{3}$
3047	Solve for ?	cos(x)=15/17	$\cos (x) = \frac{15}{17}$
3048	Solve for ?	cos(x)(2cos(x)+1)=0	$\cos (x) (2 \cos (x) + 1) = 0$
3049	Solve for ?	cos(x)=8/15	$\cos (x) = \frac{8}{15}$
3050	Solve for θ in Radians	csc(theta)=2	$\cos (2 x) = \cos^{2} (x) - \frac{1}{2}$
3051	Solve for ?	cos(x/2)=-( square root of 2)/2	$\cos (\frac{x}{2}) = - \frac{\sqrt{2}}{2}$
3052	Solve for ?	cot(x)^2+1=csc(x)^2	$\cot^{2} (x) + 1 = \csc^{2} (x)$
3053	Solve for ?	sec(x)^2-2=0	$\sec^{2} (x) - 2 = 0$
3054	Solve for ?	sec(x)^2-4=0	$\sec^{2} (x) - 4 = 0$
3055	Solve for ?	sin(x)^2-1=0	$\sin^{2} (x) - 1 = 0$
3056	Solve for ?	tan(x)^2-2sec(x)=2	$\tan^{2} (x) - 2 \sec (x) = 2$
3057	Solve for ?	(1+csc(x))/(sec(x))-cot(x)=cos(x)	$\frac{1 + \csc (x)}{\sec (x)} - \cot (x) = \cos (x)$
3058	Find Amplitude, Period, and Phase Shift	y=4cos(3x)+6	$y = 4 \cos (3 x) + 6$
3059	Find the Domain	f(x) = natural log of 10-x	$f (x) = \ln (10 - x)$
3060	Solve for ?	sin(x)*sec(x)=tan(x)	$\sin (x) \cdot \sec (x) = \tan (x)$
3061	Solve for ?	sin(2x)=1	$\sin (2 x) = 1$
3062	Solve for ?	sin(2x)+1=0	$\sin (2 x) + 1 = 0$
3063	Solve for ?	sin(x)=-5/13	$\sin (x) = - \frac{5}{13}$
3064	Solve for ?	sin(x)=6/10	$\sin (x) = \frac{6}{10}$
3065	Solve for ?	sin(x)=-0.05	$\sin (x) = - 0.05$
3066	Solve for ?	sin(x)=2/5	$\sin (x) = \frac{2}{5}$
3067	Solve for ?	tan(x)=-3/7	$\tan (x) = - \frac{3}{7}$
3068	Solve for ?	tan(x)+1=sec(x)	$\tan (x) + 1 = \sec (x)$
3069	Solve for ?	tan(x)+cot(x)=sec(x)csc(x)	$\tan (x) + \cot (x) = \sec (x) \csc (x)$
3070	Solve for ?	sin(2x)=0	$\sin (2 x) = 0$
3071	Solve for ?	tan(x)=7/9	$\tan (x) = \frac{7}{9}$
3072	Solve for ?	tan(x)=-8/5	$\tan (x) = - \frac{8}{5}$
3073	Solve for ?	tan(x)=-4	$\tan (x) = - 4$
3074	Solve for x	2^x*5=21	$2^{x} \cdot 5 = 21$
3075	Solve for x	2^x+16(2^(-x))=10	$2^{x} + 16 (2^{- x}) = 10$
3076	Solve for x	2^(2x)+2^x-56=0	$2^{2 x} + 2^{x} - 56 = 0$
3077	Solve for x	2^(2x+2)=64	$2^{2 x + 2} = 64$
3078	Solve for x	2^(-2x+8)=(1/8)^(x-3)	$2^{- 2 x + 8} = {(\frac{1}{8})}^{x - 3}$
3079	Solve for x	2^(3x-1)=1/2	$2^{3 x - 1} = \frac{1}{2}$
3080	Solve for x	2^(3-x)=565	$2^{3 - x} = 565$
3081	Solve for x	2^(1-x)=3^x	$2^{1 - x} = 3^{x}$
3082	Solve for x	2^(2x)+2^(x+2)-12=0	$2^{2 x} + 2^{x + 2} - 12 = 0$
3083	Solve for x	2^(x^2+5x)=1/16	$2^{x^{2} + 5 x} = \frac{1}{16}$
3084	Solve for x	(2x)/(x+2)+5/(x-5)=8/(x^2-3x-10)	$\frac{2 x}{x + 2} + \frac{5}{x - 5} = \frac{8}{x^{2} - 3 x - 10}$
3085	Solve for x	3/(x^2-3x)+4/x=1/(x-3)	$\frac{3}{x^{2} - 3 x} + \frac{4}{x} = \frac{1}{x - 3}$
3086	Solve for x	2^(x-3)=32	$2^{x - 3} = 32$
3087	Solve for x	25^x+5^(x+1)-84=0	$25^{x} + 5^{x + 1} - 84 = 0$
3088	Solve for x	25^x-125=0	$25^{x} - 125 = 0$
3089	Solve for x	25^(-x)=125	$25^{- x} = 125$
3090	Solve for x	256^(5x)=64^(x+2)	$256^{5 x} = 64^{x + 2}$
3091	Solve for x	1/2x-6/7=1-x/2	$\frac{1}{2} x - \frac{6}{7} = 1 - \frac{x}{2}$
3092	Solve for x	1/7x-3/4=1-x/2	$\frac{1}{7} x - \frac{3}{4} = 1 - \frac{x}{2}$
3093	Solve for x	1/(x+4)-1/(x+5)=1/12	$\frac{1}{x + 4} - \frac{1}{x + 5} = \frac{1}{12}$
3094	Solve for x	1/x+2/(x-5)=0	$\frac{1}{x} + \frac{2}{x - 5} = 0$
3095	Solve for x	1/x+1/(x+2)=1/5	$\frac{1}{x} + \frac{1}{x + 2} = \frac{1}{5}$
3096	Solve for x	1/x+1/(x+2)=1/7	$\frac{1}{x} + \frac{1}{x + 2} = \frac{1}{7}$
3097	Solve for x	1/(x-3)+1/(x+3)=10/(x^2-9)	$\frac{1}{x - 3} + \frac{1}{x + 3} = \frac{10}{x^{2} - 9}$
3098	Solve for x	1/(x-1)+1/(x+2)=7/10	$\frac{1}{x - 1} + \frac{1}{x + 2} = \frac{7}{10}$
3099	Solve for x	1/(x-4)+1/(4x-16)=5/4	$\frac{1}{x - 4} + \frac{1}{4 x - 16} = \frac{5}{4}$
3100	Solve for x	10^(2x)+3(10^x)-10=0	$10^{2 x} + 3 (10^{x}) - 10 = 0$