Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
179401	Simplify	8 square root of 2*8 square root of 2	$8 \sqrt{2} \cdot 8 \sqrt{2}$
179402	Solve for x	square root of 3x-6 = square root of 5x-4	$\sqrt{3 x - 6} = \sqrt{5 x - 4}$
179403	Graph	f(x)=(-2x^3-8x^2)/(x^3+x^2-6x)	$f (x) = \frac{- 2 x^{3} - 8 x^{2}}{x^{3} + x^{2} - 6 x}$
179404	Write in Standard Form	-5x+4x^2+15=-2	$- 5 x + 4 x^{2} + 15 = - 2$
179405	Multiply	(3x^2+x-2)(-4x^2-2x-1)	$(3 x^{2} + x - 2) (- 4 x^{2} - 2 x - 1)$
179406	Graph	y=\|1-(3x)/4\|-7	$y = \| 1 - \frac{3 x}{4} \| - 7$
179407	Find the First Term	a_n=n+3	$a_{n} = n + 3$
179408	Solve for w	7(w+8)=2w+10	$7 (w + 8) = 2 w + 10$
179409	Solve the Inequality for x	x-2>3	$x - 2 > 3$
179410	Find All Complex Solutions	square root of 2cos(theta)^2-cos(theta)=0	$\sqrt{2} \cos^{2} (θ) - \cos (θ) = 0$
179411	Solve by Completing the Square	0=2x^2+8x-24	$0 = 2 x^{2} + 8 x - 24$
179412	Multiply	(19 square root of 9m^4)(4 square root of 10m^2)	$(19 \sqrt{9 m^{4}}) (4 \sqrt{10 m^{2}})$
179413	Solve for a	( square root of x^3)/((x^(1/2))^3)=x^a	$\frac{\sqrt{x^{3}}}{{(x^{\frac{1}{2}})}^{3}} = x^{a}$
179414	Graph	f(x)=x^2+4x if x<-3; 2 if x>=-3	$f (x) = {\begin{cases} x^{2} + 4 x & x < - 3 \\ 2 & x \geq - 3 \end{cases}$
179415	Solve for x	x-(2x+3)/(x+1)=x/(x+1)	$x - \frac{2 x + 3}{x + 1} = \frac{x}{x + 1}$
179416	Solve for v	10=-(44(15)^2)/(v^2)+15+6	$10 = - \frac{44 {(15)}^{2}}{v^{2}} + 15 + 6$
179417	Simplify	(8w^7x^-5y^3z^-9)^(-2/3)	${(8 w^{7} x^{- 5} y^{3} z^{- 9})}^{- \frac{2}{3}}$
179418	Simplify	square root of -12( square root of -4- square root of 2)	$\sqrt{- 12} (\sqrt{- 4} - \sqrt{2})$
179419	Solve for z	square root of 2z^2-7z+49 = square root of z^2+7z	$\sqrt{2 z^{2} - 7 z + 49} = \sqrt{z^{2} + 7 z}$
179420	Graph	-2\|x\|=-6	$- 2 \| x \| = - 6$
179421	Find the Holes in the Graph	f(x)=(3x-12)/(x^2-5x+4)	$f (x) = \frac{3 x - 12}{x^{2} - 5 x + 4}$
179422	Solve the Inequality for x	x^2-10x+21<=0	$x^{2} - 10 x + 21 \leq 0$
179423	Graph	f(X)=-2x^2-4x+3	$f (X) = - 2 x^{2} - 4 x + 3$
179424	Solve for y	x=2y^2-4	$x = 2 y^{2} - 4$
179425	Graph	f(x)=x(x+1)(x+3)	$f (x) = x (x + 1) (x + 3)$
179426	Solve for x	10/x=(2x)/5	$\frac{10}{x} = \frac{2 x}{5}$
179427	Simplify	2x^3y^3 square root of 18x^3y^2	$2 x^{3} y^{3} \sqrt{18 x^{3} y^{2}}$
179428	Graph	f(x)=x^2+1 , x<=0	$f (x) = x^{2} + 1$ , $x \leq 0$
179429	Solve for x	(2x)/(x-2)=7+(19x^2)/(x-2)	$\frac{2 x}{x - 2} = 7 + \frac{19 x^{2}}{x - 2}$
179430	Graph	y>-1/6x+5 y<3/2x-5	$y > - \frac{1}{6} x + 5$ $y < \frac{3}{2} x - 5$
179431	Solve the Inequality for x	x^2-8x+12>=0	$x^{2} - 8 x + 12 \geq 0$
179432	Write as a Single Logarithm	log base b of 4- log base b of 4	$\log_{b} (4) - \log_{b} (4)$
179433	Graph	y>3/2x-4 y>-1/4x+3	$y > \frac{3}{2} x - 4$ $y > - \frac{1}{4} x + 3$
179434	Solve for x	4(x+3)=3x+2+x	$4 (x + 3) = 3 x + 2 + x$
179435	Graph	p(x)=x^2(2x-5)(x+2)	$p (x) = x^{2} (2 x - 5) (x + 2)$
179436	Graph	[7,infinity)	$[7, \infty)$
179437	Solve the Inequality for x	x^2<=8x-11	$x^{2} \leq 8 x - 11$
179438	Solve the Inequality for x	-2<4x-10<6	$- 2 < 4 x - 10 < 6$
179439	Write in Standard Form	y=(x-2)(x+4)	$y = (x - 2) (x + 4)$
179440	Solve the Inequality for x	x/(x-4)>0	$\frac{x}{x - 4} > 0$
179441	Find the Exact Value	(2pi)/pi	$\frac{2 π}{π}$
179442	Evaluate	cos(2)((5pi)/6)	$\cos (2) (\frac{5 π}{6})$
179443	Simplify	(-2^2x^3y^4)((-3)^2x^4y^4)	$(- 2^{2} x^{3} y^{4}) ({(- 3)}^{2} x^{4} y^{4})$
179444	Solve for x	sx+tx=r for x	$s x + t x = r$ for $x$
179445	Solve the Inequality for x	8/(x+2)>=1/(x+2)	$\frac{8}{x + 2} \geq \frac{1}{x + 2}$
179446	Graph	p(x)=(x-3)^2(x+3)(2x+1)	$p (x) = {(x - 3)}^{2} (x + 3) (2 x + 1)$
179447	Simplify	(x+y)(x^2+2xy+y^2)	$(x + y) (x^{2} + 2 x y + y^{2})$
179448	Simplify the Radical Expression	eighth root of x^2y^4	$\sqrt[8]{x^{2} y^{4}}$
179449	Solve the Absolute Value Inequality for x	\|x-3\|=6	$\| x - 3 \| = 6$
179450	Solve for θ	square root of 3sec(theta)+2=0	$\sqrt{3} \sec (θ) + 2 = 0$
179451	Write as a Single Logarithm	log base b of 9- log base b of 9	$\log_{b} (9) - \log_{b} (9)$
179452	Solve for x	7/(2x)-2/(x+1)=1/4	$\frac{7}{2 x} - \frac{2}{x + 1} = \frac{1}{4}$
179453	Solve for x	log of 2x=1- log of x+4	$\log (2 x) = 1 - \log (x + 4)$
179454	Graph Using a Table of Values	g(x) = log base 2 of x	$g (x) = \log_{2} (x)$
179455	Multiply	1/x*1/(x^2)	$\frac{1}{x} \cdot \frac{1}{x^{2}}$
179456	Solve the Inequality for n	-3(7n+3)<6n	$- 3 (7 n + 3) < 6 n$
179457	Solve for x	x^4-6x^2+9=0	$x^{4} - 6 x^{2} + 9 = 0$
179458	Simplify	(21v^-6)÷(-7v^-6)	$21 v^{- 6} \div (- 7 v^{- 6})$
179459	Solve the Inequality for x	x^2-6x<=-8	$x^{2} - 6 x \leq - 8$
179460	Solve for a	square root of -8-2a=0	$\sqrt{- 8 - 2 a} = 0$
179461	Find the Sum and Product of the Roots of the Quadratic Equation	x^2-4=0	$x^{2} - 4 = 0$
179462	Convert to Rectangular	r=tan(theta)sec(theta)	$r = \tan (θ) \sec (θ)$
179463	Solve for z	x=4/7(y+z)	$x = \frac{4}{7} (y + z)$
179464	Solve for x	1/(x-6)+8=6/(x^2-6x)	$\frac{1}{x - 6} + 8 = \frac{6}{x^{2} - 6 x}$
179465	Solve for a	x=-b/(2a)	$x = - \frac{b}{2 a}$
179466	Solve the Inequality for x	3x+5<=14	$3 x + 5 \leq 14$
179467	Graph	y=5/2cos(x+pi/2)	$y = \frac{5}{2} \cos (x + \frac{π}{2})$
179468	Combine Like Terms	5b-2+4b+5	$5 b - 2 + 4 b + 5$
179469	Factor	x^4+8x^3+17x^2-2x-24	$x^{4} + 8 x^{3} + 17 x^{2} - 2 x - 24$
179470	Solve for θ	6sin(theta)^2-3=0	$6 \sin^{2} (θ) - 3 = 0$
179471	Graph	x^2>-4x	$x^{2} > - 4 x$
179472	Solve for x	(ax+by)/c=d	$\frac{a x + b y}{c} = d$
179473	Solve for c	a^2=b^2+c^2	$a^{2} = b^{2} + c^{2}$
179474	Simplify the Radical Expression	81^(1/2)	$81^{\frac{1}{2}}$
179475	Graph	y>1/3x+3 y<-x-5	$y > \frac{1}{3} x + 3$ $y < - x - 5$
179476	Solve for h	12(-2/3h+1)-10(3/5h-3)=-7h	$12 (- \frac{2}{3} h + 1) - 10 (\frac{3}{5} h - 3) = - 7 h$
179477	Simplify	4(a^2-7a(-4a-3(a^2-2a)))	$4 (a^{2} - 7 a (- 4 a - 3 (a^{2} - 2 a)))$
179478	Solve for z	1/3z^2-4=-11/3	$\frac{1}{3} z^{2} - 4 = - \frac{11}{3}$
179479	Solve the Absolute Value Inequality for x	\|x\|+5>=11	$\| x \| + 5 \geq 11$
179480	Simplify	(x^2-10x)/(15x^3-60x^2-900x)*(x^2+14x+48)/(x+8)	$\frac{x^{2} - 10 x}{15 x^{3} - 60 x^{2} - 900 x} \cdot \frac{x^{2} + 14 x + 48}{x + 8}$
179481	Solve the System of Equations	f(x)=x^2-2x+3 , f(x)=-2x+7	$f (x) = x^{2} - 2 x + 3$ , $f (x) = - 2 x + 7$
179482	Graph	y<=2x-3 y<-3/4x+8	$y \leq 2 x - 3$ $y < - \frac{3}{4} x + 8$
179483	Divide	(y^4-y^3+2y^2+y-1)÷(y^3+1)	$(y^{4} - y^{3} + 2 y^{2} + y - 1) \div (y^{3} + 1)$
179484	Evaluate	-2\|-2r-4\|=-12	$- 2 \| - 2 r - 4 \| = - 12$
179485	Solve the System of Equations	y=2x+42 y=8x	$y = 2 x + 42$ $y = 8 x$
179486	Graph	y=(1/2)^x=2^(-x) , [-3,3]	$y = {(\frac{1}{2})}^{x} = 2^{- x}$ , $[- 3, 3]$
179487	Find the Domain and Range	y=-\|x\|+3	$y = - \| x \| + 3$
179488	Find the x and y Intercepts	f(x)=-8x^2-4x^4+9+2x-4x^3	$f (x) = - 8 x^{2} - 4 x^{4} + 9 + 2 x - 4 x^{3}$
179489	Factor	-9+121m^8n^8	$- 9 + 121 m^{8} n^{8}$
179490	Solve for x	2/3x-1=9-1/6x	$\frac{2}{3} x - 1 = 9 - \frac{1}{6} x$
179491	Solve for x	\|x+6\|>=6	$\| x + 6 \| \geq 6$
179492	Find the Equation of the Circle	Center (-6,-8) , r=10	Center $(- 6, - 8)$ , $r = 10$
179493	Solve for y	x/a+y/b=1	$\frac{x}{a} + \frac{y}{b} = 1$
179494	Graph	2/3(x-9)>-8	$\frac{2}{3} (x - 9) > - 8$
179495	Find the Inverse	f(x)=-(2x)/9	$f (x) = - \frac{2 x}{9}$
179496	Solve for x	6 natural log of e=e^( natural log of 2x)	$6 \ln (e) = e^{\ln (2 x)}$
179497	Simplify	-6m^2n^2+3mn+4mn+13m^2n^2+9	$- 6 m^{2} n^{2} + 3 m n + 4 m n + 13 m^{2} n^{2} + 9$
179498	Solve the Inequality for x	\|x\|>=2	$\| x \| \geq 2$
179499	Solve for x	71+(-5x+(-2x+3))=25-(-(3x+4)-(4x+3))	$71 + (- 5 x + (- 2 x + 3)) = 25 - (- (3 x + 4) - (4 x + 3))$
179500	Evaluate	(56÷((7-9)^3)-25)/(23-5*4)	$\frac{56 \div {(7 - 9)}^{3} - 25}{23 - 5 \cdot 4}$