Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
162101	Simplify	((2x^3z^2)^3)/(x^3y^4z^2*x^-4z^3)	$\frac{{(2 x^{3} z^{2})}^{3}}{x^{3} y^{4} z^{2} \cdot x^{- 4} z^{3}}$
162102	Complete the Square	x^2	$x^{2}$
162103	Solve for x	3\|2x+7\|-7<-4	$3 \| 2 x + 7 \| - 7 < - 4$
162104	Solve the Inequality for x	\|x\|>3	$\| x \| > 3$
162105	Solve the System of Equations	x-2y=-6 -x+2y=6	$x - 2 y = - 6$ $- x + 2 y = 6$
162106	Solve for x	1/4x-3(1/2x+3)=-3/4x	$\frac{1}{4} x - 3 (\frac{1}{2} x + 3) = - \frac{3}{4} x$
162107	Solve for m	4m-5(3m+10)=126	$4 m - 5 (3 m + 10) = 126$
162108	Solve the Inequality for z	10z-2>=4z-7	$10 z - 2 \geq 4 z - 7$
162109	Simplify	((x^3)/(x^2-4))÷((2x)/(x^2-7x+10))	$\frac{x^{3}}{x^{2} - 4} \div \frac{2 x}{x^{2} - 7 x + 10}$
162110	Solve for x	x-6 = square root of 3x	$x - 6 = \sqrt{3 x}$
162111	Solve the System of Inequalities	-35<5x-5 and 5x-5<-25	$- 35 < 5 x - 5$ and $5 x - 5 < - 25$
162112	Subtract	1 1/2-3/4	$1 \frac{1}{2} - \frac{3}{4}$
162113	Simplify	((x^7y^3)/(x^2y))^4	${(\frac{x^{7} y^{3}}{x^{2} y})}^{4}$
162114	Solve for W	W/2=g	$\frac{W}{2} = g$
162115	Solve for x	2x=2(x-3)	$2 x = 2 (x - 3)$
162116	Simplify	fourth root of 27* fourth root of 3	$\sqrt[4]{27} \cdot \sqrt[4]{3}$
162117	Simplify	(27/8)^(-2/3)	${(\frac{27}{8})}^{- \frac{2}{3}}$
162118	Solve Over the Interval	[sin(theta)^2-2sin(theta)+1]=[0] , [if*0]<=theta<=[2pi]	$[\sin^{2} (θ) - 2 \sin (θ) + 1] = [0]$ , $[i f \cdot 0] \leq θ \leq [2 π]$
162119	Solve the Inequality for f	10f-1>5f-7	$10 f - 1 > 5 f - 7$
162120	Solve the Inequality for b	2b+10>=-7b-2	$2 b + 10 \geq - 7 b - 2$
162121	Solve for x	\|1-x\|>=-3	$\| 1 - x \| \geq - 3$
162122	Solve the System of Inequalities	-2>-4x-6 and -34<=-4x-6	$- 2 > - 4 x - 6$ and $- 34 \leq - 4 x - 6$
162123	Solve for b	n+3Gb=qb	$n + 3 G b = q b$
162124	Solve for x	4^x+6^x=9^x	$4^{x} + 6^{x} = 9^{x}$
162125	Solve for x	log base 5 of 6+ log base 5 of 2x^2 = log base 5 of 48	$\log_{5} (6) + \log_{5} (2 x^{2}) = \log_{5} (48)$
162126	Simplify	(5y)/x+(3x)/y	$\frac{5 y}{x} + \frac{3 x}{y}$
162127	Evaluate	(-2/2)^2	${(- \frac{2}{2})}^{2}$
162128	Find the Perfect Square Trinomial	a^2+b^2	$a^{2} + b^{2}$
162129	Solve for x	-2(x+4)+6=-3	$- 2 (x + 4) + 6 = - 3$
162130	Solve for x	g=6x ; for x	$g = 6 x$ ; for $x$
162131	Solve for x	(4x)/5=(x+3)/2	$\frac{4 x}{5} = \frac{x + 3}{2}$
162132	Simplify	7/(x^2+6x+8)-x/(x+2)	$\frac{7}{x^{2} + 6 x + 8} - \frac{x}{x + 2}$
162133	Solve the Inequality for z	8z+7<3z-4	$8 z + 7 < 3 z - 4$
162134	Solve by Factoring	4x^2+x=-7x-3	$4 x^{2} + x = - 7 x - 3$
162135	Solve for θ	sin(2theta-pi/2)=-1	$\sin (2 θ - \frac{π}{2}) = - 1$
162136	Find the Holes in the Graph	f(x)=(5x^2-5)/(-3x^2-6x+9)	$f (x) = \frac{5 x^{2} - 5}{- 3 x^{2} - 6 x + 9}$
162137	Solve the System of Inequalities	5x+8<53 or 68<=5x+8	$5 x + 8 < 53$ or $68 \leq 5 x + 8$
162138	Simplify	r+(-5r)	$r + (- 5 r)$
162139	Simplify	sin(45 degrees )cos(30 degrees )+cos(45 degrees )sin(30 degrees )	$\sin (45 °) \cos (30 °) + \cos (45 °) \sin (30 °)$
162140	Find the Exact Value	1/2+3/4	$\frac{1}{2} + \frac{3}{4}$
162141	Solve for y	6/y-1/4=9/(y-1)	$\frac{6}{y} - \frac{1}{4} = \frac{9}{y - 1}$
162142	Simplify	(x^2-6x-16)/(3x^3+6x^2)	$\frac{x^{2} - 6 x - 16}{3 x^{3} + 6 x^{2}}$
162143	Solve for v	3v-9v=30	$3 v - 9 v = 30$
162144	Evaluate	f(x)=(1/2)^2	$f (x) = {(\frac{1}{2})}^{2}$
162145	Simplify	\|--12/4\|	$\| - \frac{- 12}{4} \|$
162146	Find the Domain of the Composition f(g(x))	f(x)=x+3 , g(x)=2x^2-5x-3	$f (x) = x + 3$ , $g (x) = 2 x^{2} - 5 x - 3$
162147	Solve for x	6x+1+x+7=36	$6 x + 1 + x + 7 = 36$
162148	Solve for n	(2^4)^2=2^n	${(2^{4})}^{2} = 2^{n}$
162149	Solve for x	4x^5-100x^(13/3)=0	$4 x^{5} - 100 x^{\frac{13}{3}} = 0$
162150	Solve the Inequality for f	-10f+1>-f-5	$- 10 f + 1 > - f - 5$
162151	Solve the Inequality for x	17<9+x	$17 < 9 + x$
162152	Find the Holes in the Graph	f(x)=(-4x-4)/(3x-2)	$f (x) = \frac{- 4 x - 4}{3 x - 2}$
162153	Simplify	( square root of 5x^7)/( square root of 3x)* square root of 15x^2	$\frac{\sqrt{5 x^{7}}}{\sqrt{3 x}} \cdot \sqrt{15 x^{2}}$
162154	Solve the Inequality for r	-7r-4>=4r+2	$- 7 r - 4 \geq 4 r + 2$
162155	Find the Roots (Zeros)	x^2=0	$x^{2} = 0$
162156	Solve the System of Inequalities	-3<=2x-1<=5	$- 3 \leq 2 x - 1 \leq 5$
162157	Solve the System of Inequalities	-25<-3x+5 or -3x+5<-31	$- 25 < - 3 x + 5$ or $- 3 x + 5 < - 31$
162158	Solve the Inequality for x	x^2-5x<0	$x^{2} - 5 x < 0$
162159	Solve the Inequality for g	5g-2<=3g+8	$5 g - 2 \leq 3 g + 8$
162160	Solve for g	3=Ng^2-Q	$3 = N g^{2} - Q$
162161	Factor	y^5+xy^3	$y^{5} + x y^{3}$
162162	Simplify	2x^5+3x^3-5x^2+x^2+7x+1+7x^5-3x^3-4	$2 x^{5} + 3 x^{3} - 5 x^{2} + x^{2} + 7 x + 1 + 7 x^{5} - 3 x^{3} - 4$
162163	Solve the System of Inequalities	-x+10>=16 or 2>-x+10	$- x + 10 \geq 16$ or $2 > - x + 10$
162164	Solve the System of Inequalities	2x-2<-4 or 2x-2>=20	$2 x - 2 < - 4$ or $2 x - 2 \geq 20$
162165	Simplify	(8u^3-9u^2y)-(-4uy^2-8y^3)+(10u^2y+11uy^2)	$(8 u^{3} - 9 u^{2} y) - (- 4 u y^{2} - 8 y^{3}) + (10 u^{2} y + 11 u y^{2})$
162166	Simplify	(8+4i)/(2i)	$\frac{8 + 4 i}{2 i}$
162167	Combine Like Terms	-4x^3+3-3-3x^3+4+4x^3+2y^2	$- 4 x^{3} + 3 - 3 - 3 x^{3} + 4 + 4 x^{3} + 2 y^{2}$
162168	Solve the Rational Equation for x	x^(5/2)=243	$x^{\frac{5}{2}} = 243$
162169	Find the Slope and y-intercept	y-3=0	$y - 3 = 0$
162170	Simplify	(3x-4y)-(x+2y)	$(3 x - 4 y) - (x + 2 y)$
162171	Factor	2a^2-2a+ab-b	$2 a^{2} - 2 a + a b - b$
162172	Solve for y	(y-k)h=C	$(y - k) h = C$
162173	Solve for p	-3(2+4p)=2(2p-1)	$- 3 (2 + 4 p) = 2 (2 p - 1)$
162174	Simplify	(2x^3)/((x^-1)^3)	$\frac{2 x^{3}}{{(x^{- 1})}^{3}}$
162175	Solve for x	square root of 5x+3=3 square root of x	$\sqrt{5 x + 3} = 3 \sqrt{x}$
162176	Solve for c	9^c=81^3	$9^{c} = 81^{3}$
162177	Simplify	-5x+11x-4+2	$- 5 x + 11 x - 4 + 2$
162178	Simplify	square root of (2160x^8)/(60x^2)	$\sqrt{\frac{2160 x^{8}}{60 x^{2}}}$
162179	Find All Complex Solutions	4(x-5)=3x+7	$4 (x - 5) = 3 x + 7$
162180	Solve for x	7^(3x+5)=7^(1-x)	$7^{3 x + 5} = 7^{1 - x}$
162181	Factor	2(x-1)+y(x-1)	$2 (x - 1) + y (x - 1)$
162182	Factor	x^5y^3+x^3y	$x^{5} y^{3} + x^{3} y$
162183	Factor	x^5y+y^3	$x^{5} y + y^{3}$
162184	Factor	ac-ad+bc-bd	$a c - a d + b c - b d$
162185	Solve for x	(3x)/5-(2x)/3+1/5=0	$\frac{3 x}{5} - \frac{2 x}{3} + \frac{1}{5} = 0$
162186	Solve for m	P=c+mc	$P = c + m c$
162187	Simplify	7p-(-5)+(-1)	$7 p - (- 5) + (- 1)$
162188	Solve the Inequality for x	-1/2x>=4	$- \frac{1}{2} x \geq 4$
162189	Solve for x	6+2x^2=20	$6 + 2 x^{2} = 20$
162190	Solve for y	10=-4/5y	$10 = - \frac{4}{5} y$
162191	Solve for n	S=(n-2)*180	$S = (n - 2) \cdot 180$
162192	Solve for h	A=(h+b)/2	$A = \frac{h + b}{2}$
162193	Solve for x	x+3 = square root of 2x-1+5	$x + 3 = \sqrt{2 x - 1} + 5$
162194	Simplify	(8x^4y^5)/(2xy^5)	$\frac{8 x^{4} y^{5}}{2 x y^{5}}$
162195	Simplify	3/(x+7)-(7x)/(x^2+9x+14)	$\frac{3}{x + 7} - \frac{7 x}{x^{2} + 9 x + 14}$
162196	Solve the Inequality for x	4(2-x)>-2x-3(4x+1)	$4 (2 - x) > - 2 x - 3 (4 x + 1)$
162197	Graph	y=-5/3x+3 y=1/3x-3	$y = - \frac{5}{3} x + 3$ $y = \frac{1}{3} x - 3$
162198	Multiply	(a+3b)(a-2b)	$(a + 3 b) (a - 2 b)$
162199	Solve the System of Inequalities	-4x-2<=-6 and -4x-2>-42	$- 4 x - 2 \leq - 6$ and $- 4 x - 2 > - 42$
162200	Find the Roots (Zeros)	x^3-7x-6=0	$x^{3} - 7 x - 6 = 0$