Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
59901	Solve for n	(81^(3n+2))/(243^(-n))=3^4	$\frac{81^{3 n + 2}}{243^{- n}} = 3^{4}$
59902	Solve for M	F=(GMn)/(D^2)	$F = \frac{G M n}{D^{2}}$
59903	Solve by Addition/Elimination	4x+y=6 , x-3y=8	$4 x + y = 6$ , $x - 3 y = 8$
59904	Solve for m	d=n+8m	$d = n + 8 m$
59905	Solve for m	m/7=8	$\frac{m}{7} = 8$
59906	Solve for m	3m-10=2(4m-5)	$3 m - 10 = 2 (4 m - 5)$
59907	Solve by Addition/Elimination	4x+y=9 7x-8y=6	$4 x + y = 9$ $7 x - 8 y = 6$
59908	Solve for m	-13=5(1+4m)-2m	$- 13 = 5 (1 + 4 m) - 2 m$
59909	Solve by Addition/Elimination	4x-2y+7=33 5y=3x-30	$4 x - 2 y + 7 = 33$ $5 y = 3 x - 30$
59910	Solve for m	1-m=6-6m	$1 - m = 6 - 6 m$
59911	Solve for l	a=r/(2l)	$a = \frac{r}{2 l}$
59912	Solve for r	r/10+4=5	$\frac{r}{10} + 4 = 5$
59913	Solve by Addition/Elimination	4x-3y=-15 2x+7y=35	$4 x - 3 y = - 15$ $2 x + 7 y = 35$
59914	Solve for r	2x=C/r	$2 x = \frac{C}{r}$
59915	Solve for p	5+3(p-4)=2(p+3)	$5 + 3 (p - 4) = 2 (p + 3)$
59916	Solve by Addition/Elimination	4x-3y=2 3x+5y=16	$4 x - 3 y = 2$ $3 x + 5 y = 16$
59917	Solve for n	-30n=-27n-63	$- 30 n = - 27 n - 63$
59918	Solve for n	5n+6=-4	$5 n + 6 = - 4$
59919	Solve for n	5-8\|-2n\|=-75	$5 - 8 \| - 2 n \| = - 75$
59920	Solve by Addition/Elimination	4x-3y=4 -8x+6y=-8	$4 x - 3 y = 4$ $- 8 x + 6 y = - 8$
59921	Solve for n	4k+mn=n-3	$4 k + m n = n - 3$
59922	Solve for n	m/n=p-6	$\frac{m}{n} = p - 6$
59923	Solve by Addition/Elimination	4x-5y=0 8x-10y=15	$4 x - 5 y = 0$ $8 x - 10 y = 15$
59924	Solve for n	14+3n=8n-3(n-4)	$14 + 3 n = 8 n - 3 (n - 4)$
59925	Solve for n	-12=-5-6n+11	$- 12 = - 5 - 6 n + 11$
59926	Solve for p	14p-8=22+20p	$14 p - 8 = 22 + 20 p$
59927	Solve for p	22p+11=4p-7	$22 p + 11 = 4 p - 7$
59928	Solve by Addition/Elimination	4x-5y=6 , 20x-25y=30	$4 x - 5 y = 6$ , $20 x - 25 y = 30$
59929	Solve for n	n=(t^2-t)/2	$n = \frac{t^{2} - t}{2}$
59930	Solve for g	5-h=2gk+4	$5 - h = 2 g k + 4$
59931	Solve for c	p=r-c	$p = r - c$
59932	Solve for d	16=(d-12)/14	$16 = \frac{d - 12}{14}$
59933	Solve by Addition/Elimination	-4x-y=-18 -7x+y=-4	$- 4 x - y = - 18$ $- 7 x + y = - 4$
59934	Solve by Addition/Elimination	-4y+11x-67=0 2y+5x-19=0	$- 4 y + 11 x - 67 = 0$ $2 y + 5 x - 19 = 0$
59935	Solve for d	p=2c+2d	$p = 2 c + 2 d$
59936	Solve for b	y=3x+3b	$y = 3 x + 3 b$
59937	Solve for c	8^2+15^2=c^2	$8^{2} + 15^{2} = c^{2}$
59938	Solve for c	3^2+4^2=c^2	$3^{2} + 4^{2} = c^{2}$
59939	Solve for c	8c+6j=5p	$8 c + 6 j = 5 p$
59940	Solve for c	(c-5)/4=3	$\frac{c - 5}{4} = 3$
59941	Factor	3x^3-12x^2+27x	$3 x^{3} - 12 x^{2} + 27 x$
59942	Solve for a	2(3a-9)=2a-10(a-1)	$2 (3 a - 9) = 2 a - 10 (a - 1)$
59943	Solve for a	20a+14+11a=-47	$20 a + 14 + 11 a = - 47$
59944	Solve for a	q=3a+5ac	$q = 3 a + 5 a c$
59945	Solve for b	5^2+b^2=7^2	$5^{2} + b^{2} = 7^{2}$
59946	Convert to Interval Notation	x<=-3	$x \leq - 3$
59947	Solve for x	16^x=1/64	$16^{x} = \frac{1}{64}$
59948	Solve by Addition/Elimination	5x+2y=21 -2x+6y=-34	$5 x + 2 y = 21$ $- 2 x + 6 y = - 34$
59949	Solve for x	2/(6x+2)=x/(3x^2+11)	$\frac{2}{6 x + 2} = \frac{x}{3 x^{2} + 11}$
59950	Solve by Addition/Elimination	5x+32y=32 , 7x-4y=-4	$5 x + 32 y = 32$ , $7 x - 4 y = - 4$
59951	Solve for x	25^(2x+3)=125^(x-4)	$25^{2 x + 3} = 125^{x - 4}$
59952	Solve by Addition/Elimination	5x+3y=-6 , 3x-2y=4	$5 x + 3 y = - 6$ , $3 x - 2 y = 4$
59953	Solve for x	square root of 2x+14=x-5	$\sqrt{2 x + 14} = x - 5$
59954	Solve for x	2^(2x-1)=4	$2^{2 x - 1} = 4$
59955	Solve for x	2^(3x+7)=1/4	$2^{3 x + 7} = \frac{1}{4}$
59956	Solve by Addition/Elimination	5x+y-z=15 , 10x+2y-2z=30 , -x-1/5y+1/5z=-3	$5 x + y - z = 15$ , $10 x + 2 y - 2 z = 30$ , $- x - \frac{1}{5} y + \frac{1}{5} z = - 3$
59957	Solve for x	2^(2x)=90	$2^{2 x} = 90$
59958	Solve by Addition/Elimination	5x=-25+5y 10y=42+2x	$5 x = - 25 + 5 y$ $10 y = 42 + 2 x$
59959	Solve for x	1/3* log base 2 of x+6 = log base 8 of 3x	$\frac{1}{3} \cdot \log_{2} (x + 6) = \log_{8} (3 x)$
59960	Solve for x	1/36=6^(x-3)	$\frac{1}{36} = 6^{x - 3}$
59961	Solve for x	1/8x=1/2	$\frac{1}{8} x = \frac{1}{2}$
59962	Solve for x	1/x=1/y+1/z	$\frac{1}{x} = \frac{1}{y} + \frac{1}{z}$
59963	Solve for x	10^x=0.001	$10^{x} = 0.001$
59964	Solve for x	\|x-7\|=5	$\| x - 7 \| = 5$
59965	Solve for x	\|x-7\|=2	$\| x - 7 \| = 2$
59966	Solve for x	\|x-1\|=2	$\| x - 1 \| = 2$
59967	Solve for x	\|x-1\|=5x+10	$\| x - 1 \| = 5 x + 10$
59968	Solve for x	\|x+3\|=8	$\| x + 3 \| = 8$
59969	Solve for x	\|x+4\|+3=17	$\| x + 4 \| + 3 = 17$
59970	Solve for x	\|x+5\|=55	$\| x + 5 \| = 55$
59971	Solve for x	\|x+1\|+5=3	$\| x + 1 \| + 5 = 3$
59972	Solve by Addition/Elimination	6a+6b=12 6a-5b=12	$6 a + 6 b = 12$ $6 a - 5 b = 12$
59973	Solve for x	\|x\|=1/2	$\| x \| = \frac{1}{2}$
59974	Solve by Addition/Elimination	6a-5b=9 2a+5b=23	$6 a - 5 b = 9$ $2 a + 5 b = 23$
59975	Solve for x	1/2-5/8x=7/8x+7/2	$\frac{1}{2} - \frac{5}{8} x = \frac{7}{8} x + \frac{7}{2}$
59976	Solve for x	1/(x^2)-4=10/x	$\frac{1}{x^{2}} - 4 = \frac{10}{x}$
59977	Solve for x	\|2x-1\|=11	$\| 2 x - 1 \| = 11$
59978	Solve for x	\|x/7\|=3	$\| \frac{x}{7} \| = 3$
59979	Solve for x	\|6x\|=18	$\| 6 x \| = 18$
59980	Solve for x	(x^2+2x+2)/(x-1)=(2x+3)/(x-1)	$\frac{x^{2} + 2 x + 2}{x - 1} = \frac{2 x + 3}{x - 1}$
59981	Solve by Addition/Elimination	6x+5y=61 -5x+5y=-5	$6 x + 5 y = 61$ $- 5 x + 5 y = - 5$
59982	Expand Using the Binomial Theorem	(0.1x+0.4y)^2	${(0.1 x + 0.4 y)}^{2}$
59983	Solve for x	(1/2)^(2x)=32	${(\frac{1}{2})}^{2 x} = 32$
59984	Solve for x	(5/2)^x=(125/8)	${(\frac{5}{2})}^{x} = (\frac{125}{8})$
59985	Solve by Addition/Elimination	6x-y=33 6x+3y=45	$6 x - y = 33$ $6 x + 3 y = 45$
59986	Solve for x	(x+10)(x+10)=0	$(x + 10) (x + 10) = 0$
59987	Solve by Addition/Elimination	-6y+11x=-36 -4y+7x=-24	$- 6 y + 11 x = - 36$ $- 4 y + 7 x = - 24$
59988	Evaluate	\|-3\|	$\| - 3 \|$
59989	Solve for v	22-5(6v-1)=-63	$22 - 5 (6 v - 1) = - 63$
59990	Solve for v	v/7=8	$\frac{v}{7} = 8$
59991	Solve by Addition/Elimination	7x+2y=2 2x-y=10	$7 x + 2 y = 2$ $2 x - y = 10$
59992	Solve for v	16^v=67	$16^{v} = 67$
59993	Solve for t	p(t+1)=-2	$p (t + 1) = - 2$
59994	Solve for t	h=64t-32t^2	$h = 64 t - 32 t^{2}$
59995	Graph	2/5x-1/5y>=0	$\frac{2}{5} x - \frac{1}{5} y \geq 0$
59996	Solve by Addition/Elimination	7x=40-2y 2(x-y)=15+y	$7 x = 40 - 2 y$ $2 (x - y) = 15 + y$
59997	Solve for S	s=1/2*(gt^2)	$s = \frac{1}{2} \cdot (g t^{2})$
59998	Solve for s	P=s+t+r	$P = s + t + r$
59999	Solve for t	3/4t-5/6=2/3t	$\frac{3}{4} t - \frac{5}{6} = \frac{2}{3} t$
60000	Solve for r	s=2prh+pr^2	$s = 2 p r h + p r^{2}$