Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
197801	Graph	2(x-3)-5x<x-2	$2 (x - 3) - 5 x < x - 2$
197802	Graph	y<2x-4 y<=-2	$y < 2 x - 4$ $y \leq - 2$
197803	Solve for x	(x+4)/(2x-1)<0	$\frac{x + 4}{2 x - 1} < 0$
197804	Subtract	-2/3-2/3	$- \frac{2}{3} - \frac{2}{3}$
197805	Find the Domain and Range	r(x)=(x^2+5x-14)/((x+1)(x-3)(x+7))	$r (x) = \frac{x^{2} + 5 x - 14}{(x + 1) (x - 3) (x + 7)}$
197806	Solve the Inequality for x	1/x>0	$\frac{1}{x} > 0$
197807	Find the Excluded Values	(x^2-10x+24)/(x^2-x-30)*(x^2-25)/(x^2-16)	$\frac{x^{2} - 10 x + 24}{x^{2} - x - 30} \cdot \frac{x^{2} - 25}{x^{2} - 16}$
197808	Subtract	3/(4xy)-5/(4xy)	$\frac{3}{4 x y} - \frac{5}{4 x y}$
197809	Simplify	(75a^7m^5)/(100a^3m^12n^3)	$\frac{75 a^{7} m^{5}}{100 a^{3} m^{12} n^{3}}$
197810	Graph	f(x)<(x-1)^2-1	$f (x) < {(x - 1)}^{2} - 1$
197811	Simplify	(7uv^2)^-5	${(7 u v^{2})}^{- 5}$
197812	Solve for x	xe^x+2e^x=0	$x e^{x} + 2 e^{x} = 0$
197813	Divide	(27ax^3-9a^2x)÷3ax	$(27 a x^{3} - 9 a^{2} x) \div 3 a x$
197814	Solve for x	x^4-128x^(13/5)=0	$x^{4} - 128 x^{\frac{13}{5}} = 0$
197815	Solve for θ	-sin(theta)^2+cos(theta)^2=-sin(theta)+1	$- \sin^{2} (θ) + \cos^{2} (θ) = - \sin (θ) + 1$
197816	Solve for x	natural log of 2x-3=3/2	$\ln (2 x - 3) = \frac{3}{2}$
197817	Solve the Absolute Value Inequality for n	7\|n/3\|-9<12	$7 \| \frac{n}{3} \| - 9 < 12$
197818	Simplify	(x^2-y^2)/(x-y)*(2xy)/(x^2+xy)	$\frac{x^{2} - y^{2}}{x - y} \cdot \frac{2 x y}{x^{2} + x y}$
197819	Find the Inverse	y=x^(2/3)	$y = x^{\frac{2}{3}}$
197820	Write in Standard Form	( square root of 2+9i)( square root of 2-9i)	$(\sqrt{2} + 9 i) (\sqrt{2} - 9 i)$
197821	Factor	(x^2+4)(x^2-4)	$(x^{2} + 4) (x^{2} - 4)$
197822	Solve for t	19/24=-5/6t-1/4	$\frac{19}{24} = - \frac{5}{6} t - \frac{1}{4}$
197823	Find All Complex Solutions	tan(2x)-1=0	$\tan (2 x) - 1 = 0$
197824	Find the LCD	(4x)/(x-1) and (x^2-1)/(3x+3)	$\frac{4 x}{x - 1}$ and $\frac{x^{2} - 1}{3 x + 3}$
197825	Graph	y<=2\|x\|+3	$y \leq 2 \| x \| + 3$
197826	Find All Complex Solutions	2cos(x)^2-3sin(x)=3	$2 \cos^{2} (x) - 3 \sin (x) = 3$
197827	Simplify	(x+2)/(10y)+(3x-1)/(10y)-(2x+5)/(10y)	$\frac{x + 2}{10 y} + \frac{3 x - 1}{10 y} - \frac{2 x + 5}{10 y}$
197828	Solve the System of Equations	y=-1/2x+8 x-4y=-8	$y = - \frac{1}{2} x + 8$ $x - 4 y = - 8$
197829	Find the Inverse	f(x) = cube root of 9(x-9)	$f (x) = \sqrt[3]{9 (x - 9)}$
197830	Find f(g(x))	f(x)=3x^2+7x and g(x)=2x^2-x-1	$f (x) = 3 x^{2} + 7 x$ and $g (x) = 2 x^{2} - x - 1$
197831	Find the Symmetry	xy- square root of 4-x^2=0	$x y - \sqrt{4 - x^{2}} = 0$
197832	Simplify	2/3a-(-1/5b-(2a-3/5b)+2/3a)-1/2b	$\frac{2}{3} a - (- \frac{1}{5} b - (2 a - \frac{3}{5} b) + \frac{2}{3} a) - \frac{1}{2} b$
197833	Solve the System of Equations	x-6y-2z=-8 -x+5y+3z=2 3x-2y-4z=18	$x - 6 y - 2 z = - 8$ $- x + 5 y + 3 z = 2$ $3 x - 2 y - 4 z = 18$
197834	Find the LCD	8/(x+3) and 1/(x-3)	$\frac{8}{x + 3}$ and $\frac{1}{x - 3}$
197835	Find All Complex Solutions	sin(theta/2)-1=0	$\sin (\frac{θ}{2}) - 1 = 0$
197836	Evaluate	3(4)^2+4+8	$3 {(4)}^{2} + 4 + 8$
197837	Find the Domain and Range	y=(x^2-1)/(x^2+1)	$y = \frac{x^{2} - 1}{x^{2} + 1}$
197838	Write in Standard Form	y=(x+3/2)^2-1	$y = {(x + \frac{3}{2})}^{2} - 1$
197839	Simplify	(-4i)-(5i)	$(- 4 i) - (5 i)$
197840	Simplify	-3x(1+x)	$- 3 x (1 + x)$
197841	Solve for t	(t+1)^2+(t-8)^2=45	${(t + 1)}^{2} + {(t - 8)}^{2} = 45$
197842	Solve for x	12-1/2(x-8)=15	$12 - \frac{1}{2} (x - 8) = 15$
197843	Factor	(x+m)(x+1)-(x+1)(x-n)	$(x + m) (x + 1) - (x + 1) (x - n)$
197844	Solve for x	fifth root of x-7=1	$\sqrt[5]{x - 7} = 1$
197845	Evaluate	\|x+2\|=5	$\| x + 2 \| = 5$
197846	Find the Exact Value	square root of 1/9	$\sqrt{\frac{1}{9}}$
197847	Solve for n	n-247=605-(4*28)	$n - 247 = 605 - (4 \cdot 28)$
197848	Solve the Inequality for x	9x>=3/2+2(6x+5)+2x	$9 x \geq \frac{3}{2} + 2 (6 x + 5) + 2 x$
197849	Solve for x	(2x+1 degree )+(x-10 degrees )=90 degrees	$(2 x + 1 °) + (x - 10 °) = 90 °$
197850	Solve the Inequality for x	3/5(x-12)>x-24	$\frac{3}{5} (x - 12) > x - 24$
197851	Find the Domain and Range	f^-1(x)=x/2+3/2	$f^{- 1} (x) = \frac{x}{2} + \frac{3}{2}$
197852	Graph	P(x)=-pix^6+x^5-x^4-x+5	$P (x) = - π x^{6} + x^{5} - x^{4} - x + 5$
197853	Solve for b	1/a+1/b=c for b	$\frac{1}{a} + \frac{1}{b} = c$ for $b$
197854	Solve for Y	5Y=45	$5 Y = 45$
197855	Solve the Inequality for x	x^4(x-3)<=0	$x^{4} (x - 3) \leq 0$
197856	Find the Quadratic Equation Given the Roots	-4 and -5	$- 4$ and $- 5$
197857	Graph	(-3,(5pi)/3)	$(- 3, \frac{5 π}{3})$
197858	Find the x and y Intercepts	(x^2+5x+4)/(2x^2-2)	$\frac{x^{2} + 5 x + 4}{2 x^{2} - 2}$
197859	Evaluate	Evaluate \|5\|-\|-3\|+\|-7\|	Evaluate $\| 5 \| - \| - 3 \| + \| - 7 \|$
197860	Solve for c	d=(c-s)/n	$d = \frac{c - s}{n}$
197861	Simplify	(3x^2-1)/(x^2-3x-18)-(x+2)/(x-6)	$\frac{3 x^{2} - 1}{x^{2} - 3 x - 18} - \frac{x + 2}{x - 6}$
197862	Solve for x	9(x+2)=5-2(x-1)	$9 (x + 2) = 5 - 2 (x - 1)$
197863	Divide Using Synthetic Division	3x^3-10x^2+15x-1 is divided by x+2	$3 x^{3} - 10 x^{2} + 15 x - 1$ is divided by $x + 2$
197864	Simplify	(4+ square root of 2)/(2- square root of 2)	$\frac{4 + \sqrt{2}}{2 - \sqrt{2}}$
197865	Solve for x	24x+168>0	$24 x + 168 > 0$
197866	Simplify	cv(9-3c)+2c(v-4c)+6c	$c v (9 - 3 c) + 2 c (v - 4 c) + 6 c$
197867	Solve the Inequality for f	3f+9<21	$3 f + 9 < 21$
197868	Simplify	(-243)^(-1/5)	${(- 243)}^{- \frac{1}{5}}$
197869	Write in Slope-Intercept Form	-5x+3y<=-18	$- 5 x + 3 y \leq - 18$
197870	Solve for x	log base 7 of 3x+7+ log base 7 of 2x+5=0	$\log_{7} (3 x + 7) + \log_{7} (2 x + 5) = 0$
197871	Find the End Behavior	f(x)=-16x-24-2x^2	$f (x) = - 16 x - 24 - 2 x^{2}$
197872	Find the Domain and Range	f(x)=5/2x^-4	$f (x) = \frac{5}{2} x^{- 4}$
197873	Simplify	5/3+(-7/6)	$\frac{5}{3} + (- \frac{7}{6})$
197874	Find the Exact Value	sec(pi/6)tan(pi/6)	$\sec (\frac{π}{6}) \tan (\frac{π}{6})$
197875	Find the End Behavior	f(x)=-832x^2+12x^4+4096+128x^3-2x^5	$f (x) = - 832 x^{2} + 12 x^{4} + 4096 + 128 x^{3} - 2 x^{5}$
197876	Find the Distance Between Two Points	(8,-8) and (-1,4)	$(8, - 8)$ and $(- 1, 4)$
197877	Divide	(-6/5)÷(-3/7)	$- \frac{6}{5} \div (- \frac{3}{7})$
197878	Evaluate	(9x^2+6x-7)+(-9x-5)	$(9 x^{2} + 6 x - 7) + (- 9 x - 5)$
197879	Solve for x	7(13-2x)=x+4(12+3x)	$7 (13 - 2 x) = x + 4 (12 + 3 x)$
197880	Find the Inverse	g(x) = fifth root of 2x-1-1	$g (x) = \sqrt[5]{2 x - 1} - 1$
197881	Solve for x	log base 3 of x^2+7- log base 3 of 3x+5=0	$\log_{3} (x^{2} + 7) - \log_{3} (3 x + 5) = 0$
197882	Simplify	(a^3-25a)/(2a^3+8a^2-10a)	$\frac{a^{3} - 25 a}{2 a^{3} + 8 a^{2} - 10 a}$
197883	Graph	-9x-3y^2=6	$- 9 x - 3 y^{2} = 6$
197884	Graph	f(x)=2+x^2	$f (x) = 2 + x^{2}$
197885	Evaluate	-pi-pi	$- π - π$
197886	Solve for x	5/8-3/5=x/10	$\frac{5}{8} - \frac{3}{5} = \frac{x}{10}$
197887	Convert to Interval Notation	-6(x+1)<2(x+5)	$- 6 (x + 1) < 2 (x + 5)$
197888	Solve for x	3/(2x-4)-5/(3x-6)=3/5	$\frac{3}{2 x - 4} - \frac{5}{3 x - 6} = \frac{3}{5}$
197889	Factor	12x^2y-27y-4x^2+9	$12 x^{2} y - 27 y - 4 x^{2} + 9$
197890	Solve for z	5z=4	$5 z = 4$
197891	Solve for x	(2x+12)/5=4y	$\frac{2 x + 12}{5} = 4 y$
197892	Solve for b	-18.14(0.5b+2)=-15b-42.21	$- 18.14 (0.5 b + 2) = - 15 b - 42.21$
197893	Find the x and y Intercepts	r(x)=(x^3-3x^2-4x)/(x-4)	$r (x) = \frac{x^{3} - 3 x^{2} - 4 x}{x - 4}$
197894	Solve Using the Quadratic Formula	y=x^2+x-6	$y = x^{2} + x - 6$
197895	Evaluate	1/((1/2)^2)	$\frac{1}{{(\frac{1}{2})}^{2}}$
197896	Solve Using the Quadratic Formula	(x+3)*2=49	$(x + 3) \cdot 2 = 49$
197897	Find the Roots (Zeros)	(x-2)^2=0	${(x - 2)}^{2} = 0$
197898	Find the x and y Intercepts	(x^2-4)/(-x-2)	$\frac{x^{2} - 4}{- x - 2}$
197899	Solve for x	cube root of x^2+4-2=0	$\sqrt[3]{x^{2} + 4} - 2 = 0$
197900	Solve for C	(3x-5)/(4x+3)+(-2x+1)/(7x-2)=(Ax^2+Bx+C)/((4x+3)(7x-2))	$\frac{3 x - 5}{4 x + 3} + \frac{- 2 x + 1}{7 x - 2} = \frac{A x^{2} + B x + C}{(4 x + 3) (7 x - 2)}$