Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
83001	Solve for t	P=(Rt)/nV	$P = \frac{R t}{n V}$
83002	Solve for t	h=80t-16t^2	$h = 80 t - 16 t^{2}$
83003	Find the Roots/Zeros Using the Rational Roots Test	h(x)=x^3-3x^2+36x-108	$h (x) = x^{3} - 3 x^{2} + 36 x - 108$
83004	Solve for t	h=50-10t-5t^2	$h = 50 - 10 t - 5 t^{2}$
83005	Solve for t	h=-16t^2+36t+4	$h = - 16 t^{2} + 36 t + 4$
83006	Solve for t	5(t-3)=2t	$5 (t - 3) = 2 t$
83007	Find the Roots/Zeros Using the Rational Roots Test	p(x)=3x^5-14x^4+96x^3-360x^2-525x-250	$p (x) = 3 x^{5} - 14 x^{4} + 96 x^{3} - 360 x^{2} - 525 x - 250$
83008	Solve for t	87=195t-16t^2	$87 = 195 t - 16 t^{2}$
83009	Find the Roots/Zeros Using the Rational Roots Test	P(x)=x^4-5x^3+6x^2+4x-8	$P (x) = x^{4} - 5 x^{3} + 6 x^{2} + 4 x - 8$
83010	Solve for t	t = square root of t^2+2t+6	$t = \sqrt{t^{2} + 2 t + 6}$
83011	Solve for v	r=v/i	$r = \frac{v}{i}$
83012	Find the Roots/Zeros Using the Rational Roots Test	q(x)=x^4-7x^3+11x^2+7x-12	$q (x) = x^{4} - 7 x^{3} + 11 x^{2} + 7 x - 12$
83013	Solve for w	-(w+5)=-14	$- (w + 5) = - 14$
83014	Find the Roots/Zeros Using the Rational Roots Test	s(w)=w^4-w^3-19w^2-w-20	$s (w) = w^{4} - w^{3} - 19 w^{2} - w - 20$
83015	Solve for w	0.4(8-0.2w)=-4	$0.4 (8 - 0.2 w) = - 4$
83016	Split Using Partial Fraction Decomposition	(125-19x)/(x^3-10x^2+25x)	$\frac{(125 - 19 x)}{(x^{3} - 10 x^{2} + 25 x)}$
83017	Solve for w	3\|4w-1\|-5=10	$3 \| 4 w - 1 \| - 5 = 10$
83018	Split Using Partial Fraction Decomposition	(2x+3)/(x^2-4)	$\frac{(2 x + 3)}{x^{2} - 4}$
83019	Solve for w	4(w+3)=w-15	$4 (w + 3) = w - 15$
83020	Solve for w	4(w-6)=3(w+1)	$4 (w - 6) = 3 (w + 1)$
83021	Split Using Partial Fraction Decomposition	(7x+71)/((x-2)^2(x+3))	$\frac{(7 x + 71)}{{(x - 2)}^{2} (x + 3)}$
83022	Solve for x	( fourth root of 5)^x=125	${(\sqrt[4]{5})}^{x} = 125$
83023	Solve for x	(3/5)^x=(27/125)	${(\frac{3}{5})}^{x} = (\frac{27}{125})$
83024	Split Using Partial Fraction Decomposition	1/(x(5x+3)(2x^2+3))	$\frac{1}{x (5 x + 3) (2 x^{2} + 3)}$
83025	Solve for x	(5/4)^x=(125/64)	${(\frac{5}{4})}^{x} = (\frac{125}{64})$
83026	Split Using Partial Fraction Decomposition	1/(x(x+1)(x+2))	$\frac{1}{x (x + 1) (x + 2)}$
83027	Solve for x	-(4-x)=3/4*(x-6)	$- (4 - x) = \frac{3}{4} \cdot (x - 6)$
83028	Split Using Partial Fraction Decomposition	-1/(x^3-1)	$\frac{- 1}{x^{3} - 1}$
83029	Graph	f(x) = square root of x^2-8	$f (x) = \sqrt{x^{2} - 8}$
83030	Split Using Partial Fraction Decomposition	(13x+11)/(x^4-1)	$\frac{13 x + 11}{x^{4} - 1}$
83031	Solve for w	w-2=-3	$w - 2 = - 3$
83032	Split Using Partial Fraction Decomposition	-16/(x^3-4x^2+4x)	$\frac{- 16}{x^{3} - 4 x^{2} + 4 x}$
83033	Solve for x	(x+3)^2=25	${(x + 3)}^{2} = 25$
83034	Split Using Partial Fraction Decomposition	20/(3x^2+2x-8)	$\frac{20}{3 x^{2} + 2 x - 8}$
83035	Solve for x	(x+4)/2=7	$\frac{x + 4}{2} = 7$
83036	Split Using Partial Fraction Decomposition	(22x)/(6x^2+5x-4)	$\frac{22 x}{6 x^{2} + 5 x - 4}$
83037	Solve for x	(x+16)/3=3x	$\frac{x + 16}{3} = 3 x$
83038	Split Using Partial Fraction Decomposition	(2x^2-x-7)/((x+1)(x^2+3))	$\frac{2 x^{2} - x - 7}{(x + 1) (x^{2} + 3)}$
83039	Solve for x	(5^(x^2))/(25^x)=125	$\frac{5^{x^{2}}}{25^{x}} = 125$
83040	Solve for x	(x^2)/(x+5)=25/(x+5)	$\frac{x^{2}}{x + 5} = \frac{25}{x + 5}$
83041	Split Using Partial Fraction Decomposition	(2x+1)/(x^2+x-2)	$\frac{2 x + 1}{x^{2} + x - 2}$
83042	Solve for x	(x^2)/(a^2)+(y^2)/(b^2)=1	$\frac{x^{2}}{a^{2}} + \frac{y^{2}}{b^{2}} = 1$
83043	Split Using Partial Fraction Decomposition	(2x+172)/((x-4)^2(x+5))	$\frac{2 x + 172}{{(x - 4)}^{2} (x + 5)}$
83044	Solve for x	\|4x-7\|=13	$\| 4 x - 7 \| = 13$
83045	Solve for x	\|3x+2\|=\|x-5\|	$\| 3 x + 2 \| = \| x - 5 \|$
83046	Solve for x	-\|3x+5\|=4	$- \| 3 x + 5 \| = 4$
83047	Solve for x	\|2x-7\|=11	$\| 2 x - 7 \| = 11$
83048	Split Using Partial Fraction Decomposition	(3x^2-5x-2)/(x^3-x)	$\frac{3 x^{2} - 5 x - 2}{x^{3} - x}$
83049	Split Using Partial Fraction Decomposition	(-3x^2-5x-35)/((x-3)(x^2+2))	$\frac{- 3 x^{2} - 5 x - 35}{(x - 3) (x^{2} + 2)}$
83050	Solve for x	\|x^2-2x\|=3	$\| x^{2} - 2 x \| = 3$
83051	Solve for x	\|x/2-3\|=1	$\| \frac{x}{2} - 3 \| = 1$
83052	Split Using Partial Fraction Decomposition	4/(2x^2+5x+2)	$\frac{4}{2 x^{2} + 5 x + 2}$
83053	Solve for x	\|x/4-3\|=1	$\| \frac{x}{4} - 3 \| = 1$
83054	Solve for x	\|2x-3\|=17	$\| 2 x - 3 \| = 17$
83055	Split Using Partial Fraction Decomposition	(4x^3+8x^2-6x+2)/(2x^2-x-1)	$\frac{4 x^{3} + 8 x^{2} - 6 x + 2}{2 x^{2} - x - 1}$
83056	Solve for x	1/2x+1/3=5/6	$\frac{1}{2} x + \frac{1}{3} = \frac{5}{6}$
83057	Solve for x	1/2x+3/5=1/10	$\frac{1}{2} x + \frac{3}{5} = \frac{1}{10}$
83058	Split Using Partial Fraction Decomposition	5/(x(x-5))	$\frac{5}{x (x - 5)}$
83059	Solve for x	1/(2x-1)-1/(2x+1)=1/24	$\frac{1}{2 x - 1} - \frac{1}{2 x + 1} = \frac{1}{24}$
83060	Split Using Partial Fraction Decomposition	5/(x^2-9)	$\frac{5}{x^{2} - 9}$
83061	Solve for x	1.3^(2x)=78	${1.3}^{2 x} = 78$
83062	Solve for x	1/16=2^(5x)	$\frac{1}{16} = 2^{5 x}$
83063	Solve for x	1/16=2^(6x)	$\frac{1}{16} = 2^{6 x}$
83064	Solve for x	\|x+1\|=\|2-x\|	$\| x + 1 \| = \| 2 - x \|$
83065	Split Using Partial Fraction Decomposition	(5x-78)/((x-3)^2(x+4))	$\frac{5 x - 78}{{(x - 3)}^{2} (x + 4)}$
83066	Solve for x	\|x+9\|=11	$\| x + 9 \| = 11$
83067	Solve for x	\|x+3\|=7	$\| x + 3 \| = 7$
83068	Solve for x	\|x-1\|=8	$\| x - 1 \| = 8$
83069	Solve for x	\|x-1\|=9	$\| x - 1 \| = 9$
83070	Solve for x	\|x-2\|=0	$\| x - 2 \| = 0$
83071	Split Using Partial Fraction Decomposition	(6x-74)/((x-3)^2(x+4))	$\frac{6 x - 74}{{(x - 3)}^{2} (x + 4)}$
83072	Solve for x	\|x-9\|=7	$\| x - 9 \| = 7$
83073	Solve for x	\|x-8\|=3	$\| x - 8 \| = 3$
83074	Split Using Partial Fraction Decomposition	7/(x(x^2+7))	$\frac{7}{x (x^{2} + 7)}$
83075	Solve for x	\|x-8\|=4	$\| x - 8 \| = 4$
83076	Split Using Partial Fraction Decomposition	(7x^2-21x+72)/(x(x-9)(x-8))	$\frac{7 x^{2} - 21 x + 72}{x (x - 9) (x - 8)}$
83077	Solve for x	\|x-7\|=4	$\| x - 7 \| = 4$
83078	Split Using Partial Fraction Decomposition	(7x-127)/((x-4)^2(x+5))	$\frac{7 x - 127}{{(x - 4)}^{2} (x + 5)}$
83079	Solve for x	\|x-4\|=9	$\| x - 4 \| = 9$
83080	Split Using Partial Fraction Decomposition	(8x+81)/((x-3)^2(x+4))	$\frac{8 x + 81}{{(x - 3)}^{2} (x + 4)}$
83081	Solve for x	10^(x+2)-12=22	$10^{x + 2} - 12 = 22$
83082	Solve for x	10^(x-3)=100^(4x-5)	$10^{x - 3} = 100^{4 x - 5}$
83083	Solve for x	10/(x+3)+10/3=6	$\frac{10}{x + 3} + \frac{10}{3} = 6$
83084	Split Using Partial Fraction Decomposition	x/((6x-7)(5x+1))	$\frac{x}{(6 x - 7) (5 x + 1)}$
83085	Solve for x	10^(-3x)*10^x=1/10	$10^{- 3 x} \cdot 10^{x} = \frac{1}{10}$
83086	Split Using Partial Fraction Decomposition	x/(x^2-9x+20)	$\frac{x}{(x^{2} - 9 x + 20)}$
83087	Solve for x	1/8=2^(5x)	$\frac{1}{8} = 2^{5 x}$
83088	Solve for x	1/8=2^(6x)	$\frac{1}{8} = 2^{6 x}$
83089	Solve for x	1/(x-3)+(x+3)/(x^2-9)=2/(x-3)	$\frac{1}{x - 3} + \frac{x + 3}{x^{2} - 9} = \frac{2}{x - 3}$
83090	Solve for x	1/(x+3)+6/(x^2-9)=1	$\frac{1}{x + 3} + \frac{6}{x^{2} - 9} = 1$
83091	Solve for x	1/x=6/(5x)+1	$\frac{1}{x} = \frac{6}{5 x} + 1$
83092	Solve for x	1/3x=1/2	$\frac{1}{3} x = \frac{1}{2}$
83093	Solve for x	1/4*(2x-14)=4	$\frac{1}{4} \cdot (2 x - 14) = 4$
83094	Solve for x	1/3x+3/5=14/15	$\frac{1}{3} x + \frac{3}{5} = \frac{14}{15}$
83095	Solve for x	1/6x=1/3	$\frac{1}{6} x = \frac{1}{3}$
83096	Simplify	( sixth root of x^7z^-2)^5	${(\sqrt[6]{x^{7} z^{- 2}})}^{5}$
83097	Solve for x	2^(11-4x)=8^(4x+1)	$2^{11 - 4 x} = 8^{4 x + 1}$
83098	Solve for x	2/(x-3)=12/(x^2-9)	$\frac{2}{x - 3} = \frac{12}{x^{2} - 9}$
83099	Solve for x	2^(4x-2)=64	$2^{4 x - 2} = 64$
83100	Solve for x	2^(3x-4)=8^(x-1)	$2^{3 x - 4} = 8^{x - 1}$