Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
166101	Find the Holes in the Graph	f(x)=(x^2+x)/(4x+4)	$f (x) = \frac{x^{2} + x}{4 x + 4}$
166102	Find the Excluded Values	2/(x(x-3))	$\frac{2}{x (x - 3)}$
166103	Write in Exponential Form	log base 3x of 4x=3	$\log_{3 x} (4 x) = 3$
166104	Write in Exponential Form	log base 4x of 2x+5=8/5	$\log_{4 x} (2 x + 5) = \frac{8}{5}$
166105	Solve for A	P=2A+2B	$P = 2 A + 2 B$
166106	Graph	y=\|cos(x)\|	$y = \| \cos (x) \|$
166107	Find the Holes in the Graph	f(x)=(-5x^2+20)/(3x^2-6x)	$f (x) = \frac{- 5 x^{2} + 20}{3 x^{2} - 6 x}$
166108	Multiply	(3+ square root of -16)(6- square root of -64)	$(3 + \sqrt{- 16}) (6 - \sqrt{- 64})$
166109	Simplify	((-4y^2)^4)/(-12y^-2)	$\frac{{(- 4 y^{2})}^{4}}{- 12 y^{- 2}}$
166110	Find the x and y Intercepts	f(x) = square root of x-2	$f (x) = \sqrt{x} - 2$
166111	Simplify	( cube root of x^5)/( fifth root of x^2)	$\frac{\sqrt[3]{x^{5}}}{\sqrt[5]{x^{2}}}$
166112	Determine if Parallel	2x=14+y and 4x+2y=10	$2 x = 14 + y$ and $4 x + 2 y = 10$
166113	Graph	p/-8+9>13	$\frac{p}{- 8} + 9 > 13$
166114	Graph	167<6+7(2-7r)	$167 < 6 + 7 (2 - 7 r)$
166115	Evaluate	( square root of 4)/2	$\frac{\sqrt{4}}{2}$
166116	Solve the Rational Equation for x	x^(3/2)=8	$x^{\frac{3}{2}} = 8$
166117	Solve for B	A=3(B+C)	$A = 3 (B + C)$
166118	Solve the Inequality for x	5x-18>=-8	$5 x - 18 \geq - 8$
166119	Solve the Inequality for x	4-x^2>=0	$4 - x^{2} \geq 0$
166120	Solve the Absolute Value Inequality for x	\|2x-3\|+5=10	$\| 2 x - 3 \| + 5 = 10$
166121	Simplify	1/(-i)	$\frac{1}{- i}$
166122	Write in Standard Form	(x+2)(x-3)=5	$(x + 2) (x - 3) = 5$
166123	Solve for s	2r=(5s)/2-s/4	$2 r = \frac{5 s}{2} - \frac{s}{4}$
166124	Solve the System of Equations	5x+10y=-5 -5x-y=32	$5 x + 10 y = - 5$ $- 5 x - y = 32$
166125	Solve the Inequality for y	-4+y<-8	$- 4 + y < - 8$
166126	Convert to Scientific Notation	763 thousandths	$763$ thousandths
166127	Factor	P(x)=x^4-13x^2+36	$P (x) = x^{4} - 13 x^{2} + 36$
166128	Simplify	(-y+6/x)/(-(5y)/x)	$\frac{- y + \frac{6}{x}}{- \frac{5 y}{x}}$
166129	Factor	2x^2yz-2xy^2z+2x^2y^2	$2 x^{2} y z - 2 x y^{2} z + 2 x^{2} y^{2}$
166130	Solve the Inequality for n	8n+2(-8n+3)<=n+2+9n	$8 n + 2 (- 8 n + 3) \leq n + 2 + 9 n$
166131	Simplify	(4x^5+y^4)^2	${(4 x^{5} + y^{4})}^{2}$
166132	Graph	[6,infinity)	$[6, \infty)$
166133	Find the Exact Value	(1/2)^-3	${(\frac{1}{2})}^{- 3}$
166134	Solve the Inequality for q	-9q-(-3q+3)>=6q-7-7	$- 9 q - (- 3 q + 3) \geq 6 q - 7 - 7$
166135	Solve for U	T=(4U)/E	$T = \frac{4 U}{E}$
166136	Solve for t	h(t)=-16t^2+144	$h (t) = - 16 t^{2} + 144$
166137	Solve the System of Equations	y=x^2-4x+6 y=x+2	$y = x^{2} - 4 x + 6$ $y = x + 2$
166138	Graph	y = cube root of 1/4x	$y = \sqrt[3]{\frac{1}{4} x}$
166139	Solve for θ	cot(theta)=-1	$\cot (θ) = - 1$
166140	Solve for x	(x-1)/4=(2x+4)/5	$\frac{x - 1}{4} = \frac{2 x + 4}{5}$
166141	Factor	1/3x^2y^3z^4-1/12x^3yz^2	$\frac{1}{3} x^{2} y^{3} z^{4} - \frac{1}{12} x^{3} y z^{2}$
166142	Simplify	3 square root of 3+ square root of 6+ square root of 12-2 square root of 3	$3 \sqrt{3} + \sqrt{6} + \sqrt{12} - 2 \sqrt{3}$
166143	Simplify	(i+3)+i(2i-4)	$(i + 3) + i (2 i - 4)$
166144	Solve for z	-z/0.5+1.4=-3	$- \frac{z}{0.5} + 1.4 = - 3$
166145	Solve for t	-2=5/2t	$- 2 = \frac{5}{2} t$
166146	Graph	2x-6>=6(x-2)+8	$2 x - 6 \geq 6 (x - 2) + 8$
166147	Solve for x	(4x)/(x+4)+3=2/x	$\frac{4 x}{x + 4} + 3 = \frac{2}{x}$
166148	Graph	sin(theta)>0 and cos(theta)<0	$\sin (θ) > 0$ and $\cos (θ) < 0$
166149	Graph	f(x)=4^x and g(x) = log base 4 of x	$f (x) = 4^{x}$ and $g (x) = \log_{4} (x)$
166150	Simplify	(a^3b^-2c^4d)/(a^-2b^3c^2d^-3)	$\frac{a^{3} b^{- 2} c^{4} d}{a^{- 2} b^{3} c^{2} d^{- 3}}$
166151	Solve for x	(0.6)^(x-3)>(0.36)^(-x-1)	${(0.6)}^{x - 3} > {(0.36)}^{- x - 1}$
166152	Find the First Term	a_n=(-2)^n	$a_{n} = {(- 2)}^{n}$
166153	Solve for x	5(2x-1)=-5+10x	$5 (2 x - 1) = - 5 + 10 x$
166154	Simplify the Radical Expression	square root of x^13	$\sqrt{x^{13}}$
166155	Simplify	((-3c^-1)^4)/(-12c^7)	$\frac{{(- 3 c^{- 1})}^{4}}{- 12 c^{7}}$
166156	Solve for x	81^-1=3^(2x)	$81^{- 1} = 3^{2 x}$
166157	Solve for x	x=(5+ square root of -49)/6	$x = \frac{5 + \sqrt{- 49}}{6}$
166158	Solve the Inequality for s	-10+5(7s+8)<-4s+3-s	$- 10 + 5 (7 s + 8) < - 4 s + 3 - s$
166159	Solve the Inequality for t	6+4(-2t+9)>=t+2-7t	$6 + 4 (- 2 t + 9) \geq t + 2 - 7 t$
166160	Graph	y=-1/2csc(x+pi/2)	$y = - \frac{1}{2} \csc (x + \frac{π}{2})$
166161	Solve for n	3n^2=9n	$3 n^{2} = 9 n$
166162	Factor	-p^4-8p^3-p^2-8p	$- p^{4} - 8 p^{3} - p^{2} - 8 p$
166163	Find the LCM	9 and 15	$9$ and $15$
166164	Simplify	limit as x approaches 3 of (x^2-9)/(x-3)	$lim_{x \to 3} \frac{x^{2} - 9}{x - 3}$
166165	Solve for q	(q+(-5))/3=8	$\frac{q + (- 5)}{3} = 8$
166166	Solve the Inequality for w	1+4(-2w+1)>=-4w+2+6	$1 + 4 (- 2 w + 1) \geq - 4 w + 2 + 6$
166167	Multiply	2(1/4)	$2 (\frac{1}{4})$
166168	Evaluate	(2pi)÷2	$2 π \div 2$
166169	Evaluate the Function	f(-2)=3^-2	$f (- 2) = 3^{- 2}$
166170	Solve the Inequality for x	x^3-9x>=0	$x^{3} - 9 x \geq 0$
166171	Divide Using Long Polynomial Division	(3x^3+x-11)/(x+1)	$\frac{3 x^{3} + x - 11}{x + 1}$
166172	Solve the Inequality for x	(x+4)^2(x-6)<0	${(x + 4)}^{2} (x - 6) < 0$
166173	Simplify	5/(x^2-2x)-4/(x^2-x)	$\frac{5}{x^{2} - 2 x} - \frac{4}{x^{2} - x}$
166174	Solve the Inequality for x	-4(8-3x)>=6x-8	$- 4 (8 - 3 x) \geq 6 x - 8$
166175	Evaluate Using the Given Value	1/3m-1-1/2n when m=21 and n=12	$\frac{1}{3} m - 1 - \frac{1}{2} n$ when $m = 21$ and $n = 12$
166176	Solve for p	2p+3>2(p-3)	$2 p + 3 > 2 (p - 3)$
166177	Find the LCD	-5/(x^2-8x-48) and 4/(x^2-25)	$\frac{- 5}{x^{2} - 8 x - 48}$ and $\frac{4}{x^{2} - 25}$
166178	Simplify	(-11x+1)/(-30x^2-25x+5)	$\frac{- 11 x + 1}{- 30 x^{2} - 25 x + 5}$
166179	Solve the Inequality for x	2x^2+5x>=12	$2 x^{2} + 5 x \geq 12$
166180	Solve the Inequality for z	-4-(6z+2)>=9z+9+1	$- 4 - (6 z + 2) \geq 9 z + 9 + 1$
166181	Find the Roots (Zeros)	x+8/(x-2)=1+(4x)/(x-2)	$x + \frac{8}{x - 2} = 1 + \frac{4 x}{x - 2}$
166182	Factor	q^5-q^4-q^3+q^2	$q^{5} - q^{4} - q^{3} + q^{2}$
166183	Graph Using a Table of Values	f(x)=1/(x^2)	$f (x) = \frac{1}{x^{2}}$
166184	Find the LCD	(7x)/(x^2+3x-4) and 9/(x^2+2x-3)	$\frac{7 x}{x^{2} + 3 x - 4}$ and $\frac{9}{x^{2} + 2 x - 3}$
166185	Solve for m	1/9(2m-16)=1/3(2m+4)	$\frac{1}{9} (2 m - 16) = \frac{1}{3} (2 m + 4)$
166186	Graph	g(x)=f(x-5)	$g (x) = f (x - 5)$
166187	Evaluate	4/9+(-2/3)	$\frac{4}{9} + (- \frac{2}{3})$
166188	Graph	2x-3y=-18 3x+y=-5	$2 x - 3 y = - 18$ $3 x + y = - 5$
166189	Solve the Absolute Value Inequality for b	\|4b-5\|=19	$\| 4 b - 5 \| = 19$
166190	Simplify the Radical Expression	square root of x^10	$\sqrt{x^{10}}$
166191	Graph	y<\|x\|-3	$y < \| x \| - 3$
166192	Solve for k	73=-6(k-7)+6(k+5)	$73 = - 6 (k - 7) + 6 (k + 5)$
166193	Graph Using a Table of Values	y=f(-x)	$y = f (- x)$
166194	Simplify	(25^(-3/2))^(1/3)	${(25^{- \frac{3}{2}})}^{\frac{1}{3}}$
166195	Find All Complex Solutions	sin(x)+2sin(x)cos(x)=0	$\sin (x) + 2 \sin (x) \cos (x) = 0$
166196	Graph	y<-3x+1 y>=2/3x	$y < - 3 x + 1$ $y \geq \frac{2}{3} x$
166197	Graph	x>=2y	$x \geq 2 y$
166198	Describe the Transformation	f(x)=-( square root of x)/2	$f (x) = - \frac{\sqrt{x}}{2}$
166199	Solve the Inequality for h	8-(5h-3)>=5h-5-8h	$8 - (5 h - 3) \geq 5 h - 5 - 8 h$
166200	Solve for x	(6x)/(x-9)-9=3/(x-9)	$\frac{6 x}{x - 9} - 9 = \frac{3}{x - 9}$