Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
174701	Find the Excluded Values	(x+1)/(x^2-1)	$\frac{x + 1}{x^{2} - 1}$
174702	Simplify	x/(-x)	$\frac{x}{- x}$
174703	Evaluate	1/i	$\frac{1}{i}$
174704	Simplify	(x^3-9x)/(9-x^2)	$\frac{x^{3} - 9 x}{9 - x^{2}}$
174705	Find the Domain and Range	y=2/3x+2	$y = \frac{2}{3} x + 2$
174706	Solve the Absolute Value Inequality for x	3\|2x+7\|-7<-4	$3 \| 2 x + 7 \| - 7 < - 4$
174707	Graph	x^2+y^2+1=0	$x^{2} + y^{2} + 1 = 0$
174708	Simplify	log base 1/2 of 8	$\log_{\frac{1}{2}} (8)$
174709	Simplify	(4ax-1)^2	${(4 a x - 1)}^{2}$
174710	Solve for x	3420=3270(0.97)^(2x-5)+920	$3420 = 3270 {(0.97)}^{2 x - 5} + 920$
174711	Solve for y	2x-y=6+y	$2 x - y = 6 + y$
174712	Solve for x	1=1/(x-8)-7/(x-8)	$1 = \frac{1}{x - 8} - \frac{7}{x - 8}$
174713	Solve for x	log base 3 of 2x- log base 3 of x+5=0	$\log_{3} (2 x) - \log_{3} (x + 5) = 0$
174714	Solve for x	1/3x+(2x+8)+x=205	$\frac{1}{3} x + (2 x + 8) + x = 205$
174715	Solve for x	\|x-2\|=3x+1	$\| x - 2 \| = 3 x + 1$
174716	Solve for x	-4x-1=5^x+4	$- 4 x - 1 = 5^{x} + 4$
174717	Solve Using the Quadratic Formula	(x-2)/(x-1)=4/(x+2)	$\frac{x - 2}{x - 1} = \frac{4}{x + 2}$
174718	Factor	4a^8-53a^4b^4+49b^8	$4 a^{8} - 53 a^{4} b^{4} + 49 b^{8}$
174719	Graph	y>=-x^2+1	$y \geq - x^{2} + 1$
174720	Simplify	(n^2+7n)/(4n^2+28n)	$\frac{n^{2} + 7 n}{4 n^{2} + 28 n}$
174721	Evaluate	5cos(30)	$5 \cos (30)$
174722	Simplify	(2 square root of 7+ square root of 14)/( square root of 7)	$\frac{2 \sqrt{7} + \sqrt{14}}{\sqrt{7}}$
174723	Solve for x	square root of x^2-2x-8+16=11	$\sqrt{x^{2} - 2 x - 8} + 16 = 11$
174724	Simplify	-2/(7x)-5/(4x)	$\frac{- 2}{7 x} - \frac{5}{4 x}$
174725	Solve for x	(2x)/(x+1)+2/(x-3)=8/(x^2-2x-3)	$\frac{2 x}{x + 1} + \frac{2}{x - 3} = \frac{8}{x^{2} - 2 x - 3}$
174726	Evaluate	(x-h)^2+(y-k)^2=r^2	${(x - h)}^{2} + {(y - k)}^{2} = r^{2}$
174727	Solve for n	n^3-n=5n^2-5	$n^{3} - n = 5 n^{2} - 5$
174728	Find the Equation Using Point-Slope Formula	m=-2 and (4,1)	$m = - 2$ and $(4, 1)$
174729	Divide	(x^2)÷(x^3)	$x^{2} \div x^{3}$
174730	Solve the Absolute Value Inequality for h	\|h-5\|<=10	$\| h - 5 \| \leq 10$
174731	Solve for x	(Ax)/B=C	$\frac{A x}{B} = C$
174732	Solve for x	14x-(3x-2)-(5x+2-(x-1))=0	$14 x - (3 x - 2) - (5 x + 2 - (x - 1)) = 0$
174733	Solve for q	(q+1)/2=(q-1)/3	$\frac{q + 1}{2} = \frac{q - 1}{3}$
174734	Write as a Single Logarithm	log base 3 of 27	$\log_{3} (27)$
174735	Graph	y>=3/2x-1 y>-7	$y \geq \frac{3}{2} x - 1$ $y > - 7$
174736	Find the Symmetry	y^2=x^3-8x	$y^{2} = x^{3} - 8 x$
174737	Solve for x	5z-2x=3a-2b	$5 z - 2 x = 3 a - 2 b$
174738	Graph	y=-(x square root of 3)/3	$y = - \frac{x \sqrt{3}}{3}$
174739	Divide	(-7/10)÷(2/5)	$- \frac{7}{10} \div \frac{2}{5}$
174740	Solve for x	-3(2x-5)=15-6x	$- 3 (2 x - 5) = 15 - 6 x$
174741	Simplify	6x^2*6x^3y^4	$6 x^{2} \cdot 6 x^{3} y^{4}$
174742	Write in Standard Form	(-3x-5)(-x^2+x-5)	$(- 3 x - 5) (- x^{2} + x - 5)$
174743	Graph	0=x+1/4y+1/2	$0 = x + \frac{1}{4} y + \frac{1}{2}$
174744	Solve for b	1/6(b+5)-b=1/2-2/3b	$\frac{1}{6} (b + 5) - b = \frac{1}{2} - \frac{2}{3} b$
174745	Simplify	(x^2+10x+25)/(x+5)-(x^2-6)/(x-5)	$\frac{x^{2} + 10 x + 25}{x + 5} - \frac{x^{2} - 6}{x - 5}$
174746	Solve for y	6(y-1/3)=4(3y-5)	$6 (y - \frac{1}{3}) = 4 (3 y - 5)$
174747	Evaluate	-1/2(-1)^2	$- \frac{1}{2} {(- 1)}^{2}$
174748	Find the Holes in the Graph	f(x)=(3x^2-108)/(x^2+2x-24)	$f (x) = \frac{3 x^{2} - 108}{x^{2} + 2 x - 24}$
174749	Find the Exact Value	infinity+negative infinity	$\infty + - \infty$
174750	Determine if Perpendicular	y=-3 and x=-6	$y = - 3$ and $x = - 6$
174751	Find f(g(x))	f(x)=3x g(x)=3x	$f (x) = 3 x$ $g (x) = 3 x$
174752	Solve for b	7/(b-3)-1/2=3/(b-4)	$\frac{7}{b - 3} - \frac{1}{2} = \frac{3}{b - 4}$
174753	Solve for x	(3x-4)/2+6=x-4	$\frac{3 x - 4}{2} + 6 = x - 4$
174754	Graph	-1-6x-6>-11-7x	$- 1 - 6 x - 6 > - 11 - 7 x$
174755	Evaluate	y^-4*y^3	$y^{- 4} \cdot y^{3}$
174756	Solve for x	(x-6)/(2x)+(2x+12)/x=(x^2-x-6)/(x^2)	$\frac{x - 6}{2 x} + \frac{2 x + 12}{x} = \frac{x^{2} - x - 6}{x^{2}}$
174757	Find the Degree	-6x^3y^2+5x^4-7z	$- 6 x^{3} y^{2} + 5 x^{4} - 7 z$
174758	Simplify	5(3-6)^2	$5 {(3 - 6)}^{2}$
174759	Find All Complex Solutions	-3x+9-2x=-12-5x	$- 3 x + 9 - 2 x = - 12 - 5 x$
174760	Evaluate	(-3/5)^3(5/3)^2	${(- \frac{3}{5})}^{3} {(\frac{5}{3})}^{2}$
174761	Solve for x	7^(-x)*7^(-x)=343	$7^{- x} \cdot 7^{- x} = 343$
174762	Solve for x	5(7x+1)+6=x(3-x)+2-x(7-x)	$5 (7 x + 1) + 6 = x (3 - x) + 2 - x (7 - x)$
174763	Graph	g(x)=f(x)-5	$g (x) = f (x) - 5$
174764	Simplify	(2/(x-y)+1/(x+y))/(1/(x-y))	$\frac{\frac{2}{x - y} + \frac{1}{x + y}}{\frac{1}{x - y}}$
174765	Solve for x	log base 5 of 9x- log base 5 of 5=0	$\log_{5} (9 x) - \log_{5} (5) = 0$
174766	Convert to Fahrenheit	-13c	$- 13 c$
174767	Solve for k	2k+9=7-3k	$2 k + 9 = 7 - 3 k$
174768	Graph	P(x)=(x-1)(x+3)	$P (x) = (x - 1) (x + 3)$
174769	Solve for n	9=-3(-5-2n)-6(1-5n)	$9 = - 3 (- 5 - 2 n) - 6 (1 - 5 n)$
174770	Find the Exact Value	cos(arccos(( square root of 3)/2))	$\cos (\arccos (\frac{\sqrt{3}}{2}))$
174771	Evaluate	(2(-4/3))/(1-(-4/3)^2)	$\frac{2 (- \frac{4}{3})}{1 - {(- \frac{4}{3})}^{2}}$
174772	Find the Product	(x+y+z)^2	${(x + y + z)}^{2}$
174773	Solve for x	x^2+x^2=12^2	$x^{2} + x^{2} = 12^{2}$
174774	Find the Domain and Range	f(x)=x^-1	$f (x) = x^{- 1}$
174775	Simplify	(x+2)/(x^2+4x)+4/(x^2-16)	$\frac{x + 2}{x^{2} + 4 x} + \frac{4}{x^{2} - 16}$
174776	Solve for x	4(x-2)=2(2x+6)	$4 (x - 2) = 2 (2 x + 6)$
174777	Solve for w	w/-4+17=9	$\frac{w}{- 4} + 17 = 9$
174778	Evaluate	8-\|2(-3.5)-5\|	$8 - \| 2 (- 3.5) - 5 \|$
174779	Solve Using the Quadratic Formula	2x^2-6x-7=2x^2	$2 x^{2} - 6 x - 7 = 2 x^{2}$
174780	Simplify	square root of 2* square root of 8* square root of 4	$\sqrt{2} \cdot \sqrt{8} \cdot \sqrt{4}$
174781	Find f(g(x))	f(x)=3x-1 , g(x)=2x-x^2	$f (x) = 3 x - 1$ , $g (x) = 2 x - x^{2}$
174782	Solve for z	4^z=8	$4^{z} = 8$
174783	Graph	\|x+1\|+2<-1	$\| x + 1 \| + 2 < - 1$
174784	Solve the Inequality for x	-5-3x>=2(10+2x)+3	$- 5 - 3 x \geq 2 (10 + 2 x) + 3$
174785	Factor	n^4-9n^2+4n^3-36n-12n^2+108	$n^{4} - 9 n^{2} + 4 n^{3} - 36 n - 12 n^{2} + 108$
174786	Solve for t	h(t)=4t+20	$h (t) = 4 t + 20$
174787	Factor	(p-2)^3-125q^3	${(p - 2)}^{3} - 125 q^{3}$
174788	Simplify	(x^2+x-12)/(x^2-8x+15)*(2x^2-10x)/(5x+20)	$\frac{x^{2} + x - 12}{x^{2} - 8 x + 15} \cdot \frac{2 x^{2} - 10 x}{5 x + 20}$
174789	Solve for x	2x+3(0)=5x-0	$2 x + 3 (0) = 5 x - 0$
174790	Evaluate	5+(16+2)÷3	$5 + (16 + 2) \div 3$
174791	Solve the System of Inequalities	2x+6<=10 or 2x+8>20	$2 x + 6 \leq 10$ or $2 x + 8 > 20$
174792	Find the Expanded Form	(x-0.3)^2+(y-3.2)^2=10-1	${(x - 0.3)}^{2} + {(y - 3.2)}^{2} = 10 - 1$
174793	Find the Product	(2x+y)^3	${(2 x + y)}^{3}$
174794	Find the Holes in the Graph	f(x)=(x^2-25)/(x^2-4x-45)	$f (x) = \frac{x^{2} - 25}{x^{2} - 4 x - 45}$
174795	Solve the Absolute Value Inequality for x	\|x\|-2=5	$\| x \| - 2 = 5$
174796	Solve for b	(4+ square root of -49)-2( square root of (-4)^2+ square root of -324)=a+bi	$(4 + \sqrt{- 49}) - 2 (\sqrt{{(- 4)}^{2}} + \sqrt{- 324}) = a + b i$
174797	Simplify	(1/(3x)-1/(6x^2))/(1-1/(2x))	$\frac{\frac{1}{3 x} - \frac{1}{6 x^{2}}}{1 - \frac{1}{2 x}}$
174798	Solve for x	4^(2x)=(1/2)^(x+5)	$4^{2 x} = {(\frac{1}{2})}^{x + 5}$
174799	Graph	f(x)=-x^2(3x-5)^2	$f (x) = - x^{2} {(3 x - 5)}^{2}$
174800	Find the x and y Intercepts	F(x)=-1/(x+4)	$F (x) = \frac{- 1}{x + 4}$