Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
173801	Solve for x	(1/3)^(3x)+3=3+243^x	${(\frac{1}{3})}^{3 x} + 3 = 3 + 243^{x}$
173802	Graph	y=-\|1/4x\|-3	$y = - \| \frac{1}{4} x \| - 3$
173803	Simplify	1/( square root of y^5)	$\frac{1}{\sqrt{y^{5}}}$
173804	Solve the Inequality for x	2x-1<=x+5	$2 x - 1 \leq x + 5$
173805	Solve for x	3(4+x)=7x-2(2x+3)	$3 (4 + x) = 7 x - 2 (2 x + 3)$
173806	Simplify	(6x^2)/((2m^4x^5)^4)	$\frac{6 x^{2}}{{(2 m^{4} x^{5})}^{4}}$
173807	Find the Domain and Range	y=1/(1+e^(-x))	$y = \frac{1}{1 + e^{- x}}$
173808	Divide	(-x)÷2	$- x \div 2$
173809	Solve Using the Quadratic Formula	3(x-5)^2=33	$3 {(x - 5)}^{2} = 33$
173810	Simplify	(-xy)^2*8x^-7y^-2	${(- x y)}^{2} \cdot 8 x^{- 7} y^{- 2}$
173811	Solve for x	(x-1)/(2x)+x=2+1/(2x)	$\frac{x - 1}{2 x} + x = 2 + \frac{1}{2 x}$
173812	Simplify	(x^2+3x-10)/(x^2-4)*(x+2)/(x^2-9)	$\frac{x^{2} + 3 x - 10}{x^{2} - 4} \cdot \frac{x + 2}{x^{2} - 9}$
173813	Simplify	( square root of 3x^2)÷( square root of 4x)	$\sqrt{3 x^{2}} \div \sqrt{4 x}$
173814	Find the Inverse	natural log of x	$\ln (x)$
173815	Solve the System of Inequalities	-10<5x-5 and 0<=5x-5	$- 10 < 5 x - 5$ and $0 \leq 5 x - 5$
173816	Solve for x	(x-2)/5=(10-x)/8	$\frac{x - 2}{5} = \frac{10 - x}{8}$
173817	Simplify	9+5/4(10x-28)	$9 + \frac{5}{4} (10 x - 28)$
173818	Solve by Completing the Square	x^2+52=-20x-3	$x^{2} + 52 = - 20 x - 3$
173819	Solve for x	2x+3=x/4	$2 x + 3 = \frac{x}{4}$
173820	Evaluate	log base 6 of 3- log base 6 of 18	$\log_{6} (3) - \log_{6} (18)$
173821	Graph	y=xe^x	$y = x e^{x}$
173822	Multiply	(a^2-b^2)/(2ab)*(a^2)/(a-b)	$\frac{a^{2} - b^{2}}{2 a b} \cdot \frac{a^{2}}{a - b}$
173823	Solve for h	5h-7=5(h-2)+3	$5 h - 7 = 5 (h - 2) + 3$
173824	Simplify	(2x+1)(3x-1)^2	$(2 x + 1) {(3 x - 1)}^{2}$
173825	Simplify	square root of 144- square root of -72- square root of 64- square root of -72	$\sqrt{144} - \sqrt{- 72} - \sqrt{64} - \sqrt{- 72}$
173826	Solve the System of Inequalities	2x+6<=8 or 2x+8>12	$2 x + 6 \leq 8$ or $2 x + 8 > 12$
173827	Simplify	(-3/4p)^3	${(- \frac{3}{4} p)}^{3}$
173828	Find the Perfect Square Trinomial	n^2+(2n)/3	$n^{2} + \frac{2 n}{3}$
173829	Solve for θ	2cos(theta)^2- square root of 3cos(theta)=0	$2 \cos^{2} (θ) - \sqrt{3} \cos (θ) = 0$
173830	Solve the Inequality for x	2x^2+5x<12	$2 x^{2} + 5 x < 12$
173831	Evaluate the Function	f(2)=3^2	$f (2) = 3^{2}$
173832	Simplify	7y^3 square root of 4x^6y^5	$7 y^{3} \sqrt{4 x^{6} y^{5}}$
173833	Solve for x	2x^2-15=-x	$2 x^{2} - 15 = - x$
173834	Simplify	3i square root of -72	$3 i \sqrt{- 72}$
173835	Simplify	4x-5x^2+9-2x+10x^2	$4 x - 5 x^{2} + 9 - 2 x + 10 x^{2}$
173836	Simplify	4-(5-(10+4÷(-2)))	$4 - (5 - (10 + 4 \div (- 2)))$
173837	Solve for m	64m-55m-73m+51m=52	$64 m - 55 m - 73 m + 51 m = 52$
173838	Solve the Inequality for x	5(x-2)(x+4)>0	$5 (x - 2) (x + 4) > 0$
173839	Multiply	30*2 14/15	$30 \times 2 \frac{14}{15}$
173840	Solve for x	2x-3=1-2x+x^2	$2 x - 3 = 1 - 2 x + x^{2}$
173841	Find All Complex Solutions	cos(2x)-cos(x)=0	$\cos (2 x) - \cos (x) = 0$
173842	Solve for x	log base 2 of 9x- log base 2 of 9=1	$\log_{2} (9 x) - \log_{2} (9) = 1$
173843	Solve by Substitution	-5x+3y=2 y=2x	$- 5 x + 3 y = 2$ $y = 2 x$
173844	Solve for x	3-x/2>=12	$3 - \frac{x}{2} \geq 12$
173845	Solve for x	3^(x^2+4x)=9^-2	$3^{x^{2} + 4 x} = 9^{- 2}$
173846	Find the Roots (Zeros)	f(x)=5(x-2)(x^2-3x-4)	$f (x) = 5 (x - 2) (x^{2} - 3 x - 4)$
173847	Solve for x	x^2-5=-4	$x^{2} - 5 = - 4$
173848	Convert to Radical Form	1/2x^(-1/2)	$\frac{1}{2} x^{- \frac{1}{2}}$
173849	Simplify	8/(-12i)	$\frac{8}{- 12 i}$
173850	Solve for x	((a^3b^4)/(a^2b))^6=a^xb^y	${(\frac{a^{3} b^{4}}{a^{2} b})}^{6} = a^{x} b^{y}$
173851	Write in Slope-Intercept Form	y=4(x-5)+7x	$y = 4 (x - 5) + 7 x$
173852	Simplify	((x^2-x-6)/(x+4))÷(x^2-6x+9)	$\frac{x^{2} - x - 6}{x + 4} \div (x^{2} - 6 x + 9)$
173853	Find All Complex Solutions	58x+52=78x-78	$58 x + 52 = 78 x - 78$
173854	Find the Product	(3x^2+7)(6x^2-4x+5)	$(3 x^{2} + 7) (6 x^{2} - 4 x + 5)$
173855	Solve for x	(1-6x^2)/x=1/x-8x^2	$\frac{1 - 6 x^{2}}{x} = \frac{1}{x} - 8 x^{2}$
173856	Solve for x	2^(2+x)3^x=2/36^(3x-1)	$2^{2 + x} \cdot 3^{x} = \frac{2}{3} \cdot 6^{3 x - 1}$
173857	Find the Product	(8-3x)(8+3x)	$(8 - 3 x) (8 + 3 x)$
173858	Solve for h	d=(f+3)/(g+h)	$d = \frac{f + 3}{g + h}$
173859	Solve for x	x^3+36^(2x)=1/6+x^3	$x^{3} + 36^{2 x} = \frac{1}{6} + x^{3}$
173860	Solve the Inequality for x	-x^2+6x+7>=0	$- x^{2} + 6 x + 7 \geq 0$
173861	Solve by Substitution	3x+y=20 -7y=x	$3 x + y = 20$ $- 7 y = x$
173862	Find f(g(x))	f(x) = square root of x+1 , g(x)=x^2-1	$f (x) = \sqrt{x + 1}$ , $g (x) = x^{2} - 1$
173863	Solve for x	square root of x^2=\|x\|	$\sqrt{x^{2}} = \| x \|$
173864	Simplify	(-3c^4-5c^2-7c)+(4c^4+8c^3+2c^2)	$(- 3 c^{4} - 5 c^{2} - 7 c) + (4 c^{4} + 8 c^{3} + 2 c^{2})$
173865	Solve for z	6- square root of z^2-z=8-z	$6 - \sqrt{z^{2} - z} = 8 - z$
173866	Find g(f(x))	f(x)=x+4 g(x)=x-4	$f (x) = x + 4$ $g (x) = x - 4$
173867	Solve for S	2.75+11.50S<=55	$2.75 + 11.5 S \leq 55$
173868	Evaluate	2(2)^2-2-1	$2 {(2)}^{2} - 2 - 1$
173869	Simplify	6(-3)^4m^4	$6 {(- 3)}^{4} m^{4}$
173870	Solve for x	25^(3x-1)<=125^(3x+5)	$25^{3 x - 1} \leq 125^{3 x + 5}$
173871	Find the Roots (Zeros)	p(x)=x(2x+3)(x-1)(x+2)	$p (x) = x (2 x + 3) (x - 1) (x + 2)$
173872	Solve the Inequality for x	x^2-4x+4<=0	$x^{2} - 4 x + 4 \leq 0$
173873	Simplify	(3 square root of 20)/(2 square root of 4)	$\frac{3 \sqrt{20}}{2 \sqrt{4}}$
173874	Find the Exact Value	(2pi)/6	$\frac{2 π}{6}$
173875	Simplify	(2/(b^2))^3((b^3)/4)^2(1/(b^2))^2	${(\frac{2}{b^{2}})}^{3} \cdot {(\frac{b^{3}}{4})}^{2} \cdot {(\frac{1}{b^{2}})}^{2}$
173876	Solve for a	a-(3a-6)/6=(3a+2)/3	$a - \frac{3 a - 6}{6} = \frac{3 a + 2}{3}$
173877	Simplify	( square root of 18x)÷( square root of 32)	$\sqrt{18 x} \div \sqrt{32}$
173878	Solve the Inequality for x	\|3x\|>=0	$\| 3 x \| \geq 0$
173879	Subtract	(5x+x^2-4)-(4x-x^2+6)	$(5 x + x^{2} - 4) - (4 x - x^{2} + 6)$
173880	Evaluate	(3+2i)(3-2i)	$(3 + 2 i) (3 - 2 i)$
173881	Find the Exact Value	50+10*0+7+2	$50 + 10 \cdot 0 + 7 + 2$
173882	Solve for x	0=x+2	$0 = x + 2$
173883	Simplify	(8t^4+6)+(9t^4-2t^3+6t^2-6)	$(8 t^{4} + 6) + (9 t^{4} - 2 t^{3} + 6 t^{2} - 6)$
173884	Solve for a	16=\|4a\|	$16 = \| 4 a \|$
173885	Simplify	(2x)/3-1/(3x^2)	$\frac{2 x}{3} - \frac{1}{3 x^{2}}$
173886	Find the Exact Value	(3-8)+(5-(-2))	$(3 - 8) + (5 - (- 2))$
173887	Simplify	-10+(6-5i)-9i	$- 10 + (6 - 5 i) - 9 i$
173888	Evaluate	2/x+4/x	$\frac{2}{x} + \frac{4}{x}$
173889	Find the Expanded Form	2(x-6)^2-(y-2)^2=16	$2 {(x - 6)}^{2} - {(y - 2)}^{2} = 16$
173890	Find the Inverse	f(x)=8 square root of x ; for x>=0	$f (x) = 8 \sqrt{x}$ ; for $x \geq 0$
173891	Solve for x	square root of 2x+10-2 square root of x=0	$\sqrt{2 x + 10} - 2 \sqrt{x} = 0$
173892	Solve the Inequality for x	(4x-9)^4(x-1)^3(x+1)<=0	${(4 x - 9)}^{4} {(x - 1)}^{3} (x + 1) \leq 0$
173893	Find the Domain and Range	h(x)=-1/2(x-4)^2+3	$h (x) = - \frac{1}{2} {(x - 4)}^{2} + 3$
173894	Evaluate	17-5(3(2^2-6)-12)+4	$17 - 5 (3 (2^{2} - 6) - 12) + 4$
173895	Solve the System of Equations	(2x+5)/17-(5-y)=-60 (y+62)/2-(1-x)=40	$\frac{2 x + 5}{17} - (5 - y) = - 60$ $\frac{y + 62}{2} - (1 - x) = 40$
173896	Solve by Substitution	y=-x^2+x-5 y=x-5	$y = - x^{2} + x - 5$ $y = x - 5$
173897	Combine Like Terms	(3z^5+7z^2)^2	${(3 z^{5} + 7 z^{2})}^{2}$
173898	Solve for v	28v-17v-8v-3=54	$28 v - 17 v - 8 v - 3 = 54$
173899	Simplify	(sec(x)sin(x))/(tan(x))	$\frac{\sec (x) \sin (x)}{\tan (x)}$
173900	Simplify	(4)+(14-4i)	$(4) + (14 - 4 i)$