Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
197801	Solve for x	11=2+ square root of 90-x	$11 = 2 + \sqrt{90 - x}$
197802	Evaluate	e^(x+1)=1/e	$e^{x + 1} = \frac{1}{e}$
197803	Simplify	(3x^3y-2z^4)^3	${(3 x^{3} y - 2 z^{4})}^{3}$
197804	Solve for x	5/4=(x-3)/(x-4)	$\frac{5}{4} = \frac{x - 3}{x - 4}$
197805	Find the Exact Value	cos(pi/11)^2-sin(pi/11)^2	$\cos^{2} (\frac{π}{11}) - \sin^{2} (\frac{π}{11})$
197806	Graph	y=1/2(x+4)	$y = \frac{1}{2} (x + 4)$
197807	Solve for v	5/2=(v-8)/(v-2)	$\frac{5}{2} = \frac{v - 8}{v - 2}$
197808	Solve the Inequality for y	-2y>10	$- 2 y > 10$
197809	Simplify	(c^2-d^2)/(d^2+cd-2c^2)	$\frac{c^{2} - d^{2}}{d^{2} + c d - 2 c^{2}}$
197810	Solve for x	e^(x^2)=(e^(-x))*e^30	$e^{x^{2}} = (e^{- x}) \cdot e^{30}$
197811	Graph	y=x^2+6x+8 y=x+4	$y = x^{2} + 6 x + 8$ $y = x + 4$
197812	Simplify	5x^2+3x^2-x^3+2x^3+10x^4-5x^4	$5 x^{2} + 3 x^{2} - x^{3} + 2 x^{3} + 10 x^{4} - 5 x^{4}$
197813	Divide	1÷(( square root of 3)/2)	$1 \div \frac{\sqrt{3}}{2}$
197814	Determine if Linear	4xy+2y=9	$4 x y + 2 y = 9$
197815	Solve for x	2x-x/8+5=35	$2 x - \frac{x}{8} + 5 = 35$
197816	Graph	2(x-3)-5x<x-2	$2 (x - 3) - 5 x < x - 2$
197817	Graph	y<2x-4 y<=-2	$y < 2 x - 4$ $y \leq - 2$
197818	Solve for x	(x+4)/(2x-1)<0	$\frac{x + 4}{2 x - 1} < 0$
197819	Subtract	-2/3-2/3	$- \frac{2}{3} - \frac{2}{3}$
197820	Find the Domain and Range	r(x)=(x^2+5x-14)/((x+1)(x-3)(x+7))	$r (x) = \frac{x^{2} + 5 x - 14}{(x + 1) (x - 3) (x + 7)}$
197821	Solve the Inequality for x	1/x>0	$\frac{1}{x} > 0$
197822	Find the Excluded Values	(x^2-10x+24)/(x^2-x-30)*(x^2-25)/(x^2-16)	$\frac{x^{2} - 10 x + 24}{x^{2} - x - 30} \cdot \frac{x^{2} - 25}{x^{2} - 16}$
197823	Subtract	3/(4xy)-5/(4xy)	$\frac{3}{4 x y} - \frac{5}{4 x y}$
197824	Simplify	(75a^7m^5)/(100a^3m^12n^3)	$\frac{75 a^{7} m^{5}}{100 a^{3} m^{12} n^{3}}$
197825	Graph	f(x)<(x-1)^2-1	$f (x) < {(x - 1)}^{2} - 1$
197826	Simplify	(7uv^2)^-5	${(7 u v^{2})}^{- 5}$
197827	Solve for x	xe^x+2e^x=0	$x e^{x} + 2 e^{x} = 0$
197828	Divide	(27ax^3-9a^2x)÷3ax	$(27 a x^{3} - 9 a^{2} x) \div 3 a x$
197829	Solve for x	x^4-128x^(13/5)=0	$x^{4} - 128 x^{\frac{13}{5}} = 0$
197830	Solve for θ	-sin(theta)^2+cos(theta)^2=-sin(theta)+1	$- \sin^{2} (θ) + \cos^{2} (θ) = - \sin (θ) + 1$
197831	Solve for x	natural log of 2x-3=3/2	$\ln (2 x - 3) = \frac{3}{2}$
197832	Solve the Absolute Value Inequality for n	7\|n/3\|-9<12	$7 \| \frac{n}{3} \| - 9 < 12$
197833	Simplify	(x^2-y^2)/(x-y)*(2xy)/(x^2+xy)	$\frac{x^{2} - y^{2}}{x - y} \cdot \frac{2 x y}{x^{2} + x y}$
197834	Find the Inverse	y=x^(2/3)	$y = x^{\frac{2}{3}}$
197835	Write in Standard Form	( square root of 2+9i)( square root of 2-9i)	$(\sqrt{2} + 9 i) (\sqrt{2} - 9 i)$
197836	Factor	(x^2+4)(x^2-4)	$(x^{2} + 4) (x^{2} - 4)$
197837	Solve for t	19/24=-5/6t-1/4	$\frac{19}{24} = - \frac{5}{6} t - \frac{1}{4}$
197838	Find All Complex Solutions	tan(2x)-1=0	$\tan (2 x) - 1 = 0$
197839	Find the LCD	(4x)/(x-1) and (x^2-1)/(3x+3)	$\frac{4 x}{x - 1}$ and $\frac{x^{2} - 1}{3 x + 3}$
197840	Graph	y<=2\|x\|+3	$y \leq 2 \| x \| + 3$
197841	Find All Complex Solutions	2cos(x)^2-3sin(x)=3	$2 \cos^{2} (x) - 3 \sin (x) = 3$
197842	Simplify	(x+2)/(10y)+(3x-1)/(10y)-(2x+5)/(10y)	$\frac{x + 2}{10 y} + \frac{3 x - 1}{10 y} - \frac{2 x + 5}{10 y}$
197843	Solve the System of Equations	y=-1/2x+8 x-4y=-8	$y = - \frac{1}{2} x + 8$ $x - 4 y = - 8$
197844	Find the Inverse	f(x) = cube root of 9(x-9)	$f (x) = \sqrt[3]{9 (x - 9)}$
197845	Find f(g(x))	f(x)=3x^2+7x and g(x)=2x^2-x-1	$f (x) = 3 x^{2} + 7 x$ and $g (x) = 2 x^{2} - x - 1$
197846	Find the Symmetry	xy- square root of 4-x^2=0	$x y - \sqrt{4 - x^{2}} = 0$
197847	Simplify	2/3a-(-1/5b-(2a-3/5b)+2/3a)-1/2b	$\frac{2}{3} a - (- \frac{1}{5} b - (2 a - \frac{3}{5} b) + \frac{2}{3} a) - \frac{1}{2} b$
197848	Solve the System of Equations	x-6y-2z=-8 -x+5y+3z=2 3x-2y-4z=18	$x - 6 y - 2 z = - 8$ $- x + 5 y + 3 z = 2$ $3 x - 2 y - 4 z = 18$
197849	Find the LCD	8/(x+3) and 1/(x-3)	$\frac{8}{x + 3}$ and $\frac{1}{x - 3}$
197850	Find All Complex Solutions	sin(theta/2)-1=0	$\sin (\frac{θ}{2}) - 1 = 0$
197851	Evaluate	3(4)^2+4+8	$3 {(4)}^{2} + 4 + 8$
197852	Find the Domain and Range	y=(x^2-1)/(x^2+1)	$y = \frac{x^{2} - 1}{x^{2} + 1}$
197853	Write in Standard Form	y=(x+3/2)^2-1	$y = {(x + \frac{3}{2})}^{2} - 1$
197854	Simplify	(-4i)-(5i)	$(- 4 i) - (5 i)$
197855	Simplify	-3x(1+x)	$- 3 x (1 + x)$
197856	Solve for t	(t+1)^2+(t-8)^2=45	${(t + 1)}^{2} + {(t - 8)}^{2} = 45$
197857	Solve for x	12-1/2(x-8)=15	$12 - \frac{1}{2} (x - 8) = 15$
197858	Factor	(x+m)(x+1)-(x+1)(x-n)	$(x + m) (x + 1) - (x + 1) (x - n)$
197859	Solve for x	fifth root of x-7=1	$\sqrt[5]{x - 7} = 1$
197860	Evaluate	\|x+2\|=5	$\| x + 2 \| = 5$
197861	Find the Exact Value	square root of 1/9	$\sqrt{\frac{1}{9}}$
197862	Solve for n	n-247=605-(4*28)	$n - 247 = 605 - (4 \cdot 28)$
197863	Solve the Inequality for x	9x>=3/2+2(6x+5)+2x	$9 x \geq \frac{3}{2} + 2 (6 x + 5) + 2 x$
197864	Solve for x	(2x+1 degree )+(x-10 degrees )=90 degrees	$(2 x + 1 °) + (x - 10 °) = 90 °$
197865	Solve the Inequality for x	3/5(x-12)>x-24	$\frac{3}{5} (x - 12) > x - 24$
197866	Find the Domain and Range	f^-1(x)=x/2+3/2	$f^{- 1} (x) = \frac{x}{2} + \frac{3}{2}$
197867	Graph	P(x)=-pix^6+x^5-x^4-x+5	$P (x) = - π x^{6} + x^{5} - x^{4} - x + 5$
197868	Solve for b	1/a+1/b=c for b	$\frac{1}{a} + \frac{1}{b} = c$ for $b$
197869	Solve for Y	5Y=45	$5 Y = 45$
197870	Solve the Inequality for x	x^4(x-3)<=0	$x^{4} (x - 3) \leq 0$
197871	Find the Quadratic Equation Given the Roots	-4 and -5	$- 4$ and $- 5$
197872	Graph	(-3,(5pi)/3)	$(- 3, \frac{5 π}{3})$
197873	Find the x and y Intercepts	(x^2+5x+4)/(2x^2-2)	$\frac{x^{2} + 5 x + 4}{2 x^{2} - 2}$
197874	Evaluate	Evaluate \|5\|-\|-3\|+\|-7\|	Evaluate $\| 5 \| - \| - 3 \| + \| - 7 \|$
197875	Solve for c	d=(c-s)/n	$d = \frac{c - s}{n}$
197876	Simplify	(3x^2-1)/(x^2-3x-18)-(x+2)/(x-6)	$\frac{3 x^{2} - 1}{x^{2} - 3 x - 18} - \frac{x + 2}{x - 6}$
197877	Solve for x	9(x+2)=5-2(x-1)	$9 (x + 2) = 5 - 2 (x - 1)$
197878	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 $x + 2$
197879	Simplify	(4+ square root of 2)/(2- square root of 2)	$\frac{4 + \sqrt{2}}{2 - \sqrt{2}}$
197880	Solve for x	24x+168>0	$24 x + 168 > 0$
197881	Simplify	cv(9-3c)+2c(v-4c)+6c	$c v (9 - 3 c) + 2 c (v - 4 c) + 6 c$
197882	Solve the Inequality for f	3f+9<21	$3 f + 9 < 21$
197883	Simplify	(-243)^(-1/5)	${(- 243)}^{- \frac{1}{5}}$
197884	Write in Slope-Intercept Form	-5x+3y<=-18	$- 5 x + 3 y \leq - 18$
197885	Solve for x	log base 7 of 3x+7+ log base 7 of 2x+5=0	$\log_{7} (3 x + 7) + \log_{7} (2 x + 5) = 0$
197886	Find the End Behavior	f(x)=-16x-24-2x^2	$f (x) = - 16 x - 24 - 2 x^{2}$
197887	Find the Domain and Range	f(x)=5/2x^-4	$f (x) = \frac{5}{2} x^{- 4}$
197888	Simplify	5/3+(-7/6)	$\frac{5}{3} + (- \frac{7}{6})$
197889	Find the Exact Value	sec(pi/6)tan(pi/6)	$\sec (\frac{π}{6}) \tan (\frac{π}{6})$
197890	Find the End Behavior	f(x)=-832x^2+12x^4+4096+128x^3-2x^5	$f (x) = - 832 x^{2} + 12 x^{4} + 4096 + 128 x^{3} - 2 x^{5}$
197891	Find the Distance Between Two Points	(8,-8) and (-1,4)	$(8, - 8)$ and $(- 1, 4)$
197892	Divide	(-6/5)÷(-3/7)	$- \frac{6}{5} \div (- \frac{3}{7})$
197893	Evaluate	(9x^2+6x-7)+(-9x-5)	$(9 x^{2} + 6 x - 7) + (- 9 x - 5)$
197894	Solve for x	7(13-2x)=x+4(12+3x)	$7 (13 - 2 x) = x + 4 (12 + 3 x)$
197895	Find the Inverse	g(x) = fifth root of 2x-1-1	$g (x) = \sqrt[5]{2 x - 1} - 1$
197896	Solve for x	log base 3 of x^2+7- log base 3 of 3x+5=0	$\log_{3} (x^{2} + 7) - \log_{3} (3 x + 5) = 0$
197897	Simplify	(a^3-25a)/(2a^3+8a^2-10a)	$\frac{a^{3} - 25 a}{2 a^{3} + 8 a^{2} - 10 a}$
197898	Graph	-9x-3y^2=6	$- 9 x - 3 y^{2} = 6$
197899	Graph	f(x)=2+x^2	$f (x) = 2 + x^{2}$
197900	Evaluate	-pi-pi	$- π - π$