Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
164801	Solve for x	(2x)/(x+5)-(x^2-x-10)/(x^2+8x+15)=3/(x+3)	$\frac{2 x}{x + 5} - \frac{x^{2} - x - 10}{x^{2} + 8 x + 15} = \frac{3}{x + 3}$
164802	Solve for r	r(r-10)=0	$r (r - 10) = 0$
164803	Factor	a^2-24am^2x^2+144m^4x^4	$a^{2} - 24 a m^{2} x^{2} + 144 m^{4} x^{4}$
164804	Solve for x	7/2x+7/9x=-17+25/6	$\frac{7}{2} x + \frac{7}{9} x = - 17 + \frac{25}{6}$
164805	Expand the Logarithmic Expression	log base 7 of 5y(3y+4)	$\log_{7} (5 y (3 y + 4))$
164806	Solve for x	2x-1+3x=0	$2 x - 1 + 3 x = 0$
164807	Subtract	3/2-1/4	$\frac{3}{2} - \frac{1}{4}$
164808	Evaluate	2pi5	$2 \cdot π \cdot 5$
164809	Subtract	-5x^2+10x-1 from 6x^2-x+3	$- 5 x^{2} + 10 x - 1$ from $6 x^{2} - x + 3$
164810	Solve the System of Equations	3x+2y=9 and 3x-y=0	$3 x + 2 y = 9$ and $3 x - y = 0$
164811	Graph	f(x) square root of x	$f (x) \sqrt{x}$
164812	Solve for c	A=1/2(b+c)h	$A = \frac{1}{2} (b + c) h$
164813	Solve the Inequality for x	4x^2-4x+1<=0	$4 x^{2} - 4 x + 1 \leq 0$
164814	Simplify	( square root of a+ square root of b)/( square root of ab)	$\frac{\sqrt{a} + \sqrt{b}}{\sqrt{a b}}$
164815	Write in Exponential Form	log base 5x of 2x=4x	$\log_{5 x} (2 x) = 4 x$
164816	Solve for b	-f+1/5Qb=d	$- f + \frac{1}{5} Q b = d$
164817	Find the Roots (Zeros)	x^3+x	$x^{3} + x$
164818	Simplify the Radical Expression	square root of 25x^2	$\sqrt{25 x^{2}}$
164819	Find the Holes in the Graph	y=((x-5)(x-2))/((x-2)(x+4))	$y = \frac{(x - 5) (x - 2)}{(x - 2) (x + 4)}$
164820	Graph	x = square root of 1-y^2	$x = \sqrt{1 - y^{2}}$
164821	Subtract	-9x-7 from 8x^2-5x+9	$- 9 x - 7$ from $8 x^{2} - 5 x + 9$
164822	Subtract	-3x-8 from 4x^2-7x-2	$- 3 x - 8$ from $4 x^{2} - 7 x - 2$
164823	Divide	4 1/2÷1 1/2	$4 \frac{1}{2} \div 1 \frac{1}{2}$
164824	Solve for A	6=-G+1/5rA	$6 = - G + \frac{1}{5} r A$
164825	Solve for x	6^(4x-9)=(1/36)^(x-4)	$6^{4 x - 9} = {(\frac{1}{36})}^{x - 4}$
164826	Graph	y=2*3^(-x)-4	$y = 2 \cdot 3^{- x} - 4$
164827	Write in Standard Form	2+3x^2+4x	$2 + 3 x^{2} + 4 x$
164828	Evaluate	(3-8y)*(-2.5)	$(3 - 8 y) \cdot (- 2.5)$
164829	Solve for x	(x-4)^2+4=49	${(x - 4)}^{2} + 4 = 49$
164830	Solve the Inequality for n	n+8>11	$n + 8 > 11$
164831	Solve for u	-2u+6w=9	$- 2 u + 6 w = 9$
164832	Solve for d	-h+1/5td=f	$- h + \frac{1}{5} t d = f$
164833	Simplify	((7x)/(x-8))÷((x^2+4x-32)/(x^2-64))	$\frac{7 x}{x - 8} \div \frac{x^{2} + 4 x - 32}{x^{2} - 64}$
164834	Simplify	3 fourth root of z*3z^(3/4)	$3 \sqrt[4]{z} \cdot 3 z^{\frac{3}{4}}$
164835	Solve Using the Quadratic Formula	y=ax^2+bx+c	$y = a x^{2} + b x + c$
164836	Simplify	(2(a^4)^2)/(6a)	$\frac{2 {(a^{4})}^{2}}{6 a}$
164837	Simplify	a^4a^11a^y	$a^{4} \cdot a^{11} \cdot a^{y}$
164838	Solve the Inequality for x	-3x>=21	$- 3 x \geq 21$
164839	Solve the Inequality for x	2x+5<=3x-10	$2 x + 5 \leq 3 x - 10$
164840	Solve for x	2+x/-10=2/5	$2 + \frac{x}{- 10} = \frac{2}{5}$
164841	Solve for x	5^3=125^(2x-5)	$5^{3} = 125^{2 x - 5}$
164842	Simplify	2 square root of 3*3 square root of 15	$2 \sqrt{3} \cdot 3 \sqrt{15}$
164843	Simplify	(8x+64)/(x-4)*(x^2-49)/(x^2+x-56)	$\frac{8 x + 64}{x - 4} \cdot \frac{x^{2} - 49}{x^{2} + x - 56}$
164844	Solve the System of Equations	5x-y=-2 -5x+y=2	$5 x - y = - 2$ $- 5 x + y = 2$
164845	Divide	1 1/2÷(1/4)	$1 \frac{1}{2} \div \frac{1}{4}$
164846	Write in Standard Form	x(x-5)=36	$x (x - 5) = 36$
164847	Convert to Interval Notation	-7\|x+12\|<=-14	$- 7 \| x + 12 \| \leq - 14$
164848	Divide Using Long Polynomial Division	(6x^4+15x^2-8-20x^3)÷(-x^2+2x-1)	$(6 x^{4} + 15 x^{2} - 8 - 20 x^{3}) \div (- x^{2} + 2 x - 1)$
164849	Multiply	2 square root of 3*2 square root of 3	$2 \sqrt{3} \cdot 2 \sqrt{3}$
164850	Multiply	-5*1/2	$- 5 \cdot \frac{1}{2}$
164851	Simplify the Radical Expression	cube root of -27	$\sqrt[3]{- 27}$
164852	Solve for θ	cos(theta)-1=0	$\cos (θ) - 1 = 0$
164853	Solve for a	B=-D+1/7ua	$B = - D + \frac{1}{7} u a$
164854	Simplify	x square root of x^3	$x \sqrt{x^{3}}$
164855	Solve for x	-2+4/(x+4)=-x/(x+4)	$- 2 + \frac{4}{x + 4} = - \frac{x}{x + 4}$
164856	Evaluate	f(x)=2^-3	$f (x) = 2^{- 3}$
164857	Simplify	(6- square root of -8)/-2	$\frac{6 - \sqrt{- 8}}{- 2}$
164858	Write in Exponential Form	log base 4x of x-1=4x	$\log_{4 x} (x - 1) = 4 x$
164859	Solve for x	(2x+2)/11=(x-4)/6	$\frac{2 x + 2}{11} = \frac{x - 4}{6}$
164860	Factor	x^3y^2+x^2y+x	$x^{3} y^{2} + x^{2} y + x$
164861	Find the Exact Value	tan(arccos(2x))	$\tan (\arccos (2 x))$
164862	Find the Function	f(x)=1/3*4^x	$f (x) = \frac{1}{3} \cdot 4^{x}$
164863	Solve for x	9/x=-3/10	$\frac{9}{x} = - \frac{3}{10}$
164864	Solve for x	(x-5)/(x^2-1)-1=-(2x)/(x-1)	$\frac{x - 5}{x^{2} - 1} - 1 = - \frac{2 x}{x - 1}$
164865	Solve the Inequality for x	(x-4)/(x^2-2x-24)>=0	$\frac{x - 4}{x^{2} - 2 x - 24} \geq 0$
164866	Solve for a	g+1/4Ua=B	$g + \frac{1}{4} U a = B$
164867	Solve for x	3^(7-2x)=(1/27)^-8	$3^{7 - 2 x} = {(\frac{1}{27})}^{- 8}$
164868	Simplify	(4m-17)/(m^2-16)+(3m-11)/(m^2-16)	$\frac{4 m - 17}{m^{2} - 16} + \frac{3 m - 11}{m^{2} - 16}$
164869	Find the Holes in the Graph	f(x)=(-5x-10)/(x^2-4)	$f (x) = \frac{- 5 x - 10}{x^{2} - 4}$
164870	Solve for x	1-4/x=-3x	$1 - \frac{4}{x} = - 3 x$
164871	Convert to a Decimal	6rad	$6$ radians
164872	Solve the System of Inequalities	y>2x y>3	$y > 2 x$ $y > 3$
164873	Graph	x^2-y^2	$x^{2} - y^{2}$
164874	Simplify	-m+n+m+n	$- m + n + m + n$
164875	Find the LCD	(5x)/(4x-8) and 3/(5x-10)	$\frac{5 x}{4 x - 8}$ and $\frac{3}{5 x - 10}$
164876	Graph	f(x)=x+5 if x<-2; -4 if x>=-2	$f (x) = {\begin{cases} x + 5 & x < - 2 \\ - 4 & x \geq - 2 \end{cases}$
164877	Solve the Inequality for x	4x+3<3x+6	$4 x + 3 < 3 x + 6$
164878	Graph	1/2f(x)-4	$\frac{1}{2} f (x) - 4$
164879	Evaluate	15% of 80	$15 %$ of $80$
164880	Evaluate	2x*x	$2 x \cdot x$
164881	Solve for y	c=(y+k)h	$c = (y + k) h$
164882	Multiply	1/21/21/21/21/2*1/2	$\frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2}$
164883	Simplify	(3x^2y+15xy)/(x^2-25)	$\frac{3 x^{2} y + 15 x y}{x^{2} - 25}$
164884	Find the Holes in the Graph	f(x)=(x^2-3x-10)/(2x^2+3x-2)	$f (x) = \frac{x^{2} - 3 x - 10}{2 x^{2} + 3 x - 2}$
164885	Solve for B	r^3=f/B+h	$r^{3} = \frac{f}{B} + h$
164886	Multiply	(3x-1)(2x^3+4x^2-5)	$(3 x - 1) (2 x^{3} + 4 x^{2} - 5)$
164887	Solve for g	3=(4m)/g-Q	$3 = \frac{4 m}{g} - Q$
164888	Factor	x^5+20x^3+100x	$x^{5} + 20 x^{3} + 100 x$
164889	Identify the Conic	f(x)=5/3x^2	$f (x) = \frac{5}{3} x^{2}$
164890	Multiply	(7+x)(7-x)	$(7 + x) (7 - x)$
164891	Solve for x	square root of -x<0	$\sqrt{- x} < 0$
164892	Graph	x^2+2x<=8	$x^{2} + 2 x \leq 8$
164893	Simplify	(2ag^2)^4(3a^2g^3)^2	${(2 a g^{2})}^{4} {(3 a^{2} g^{3})}^{2}$
164894	Evaluate	2 natural log of e^6- natural log of e^5	$2 \ln (e^{6}) - \ln (e^{5})$
164895	Graph	g(x)=f(1/3x)	$g (x) = f (\frac{1}{3} x)$
164896	Multiply	(4n)/(4n-4)*(n-1)/(n+1)	$\frac{4 n}{4 n - 4} \cdot \frac{n - 1}{n + 1}$
164897	Graph Using a Table of Values	y=1/3x^2	$y = \frac{1}{3} x^{2}$
164898	Find the LCD	3/(2x-8) and (2x)/(5x-20)	$\frac{3}{2 x - 8}$ and $\frac{2 x}{5 x - 20}$
164899	Simplify	(a^3b^6)/(a^2b^3-a^4b^2)	$\frac{a^{3} b^{6}}{a^{2} b^{3} - a^{4} b^{2}}$
164900	Simplify	(y^3-7x^4y^4)+(-10x^4y^3+6y^3+4x^4y^4)-(x^4y^3+6x^4y^4)	$(y^{3} - 7 x^{4} y^{4}) + (- 10 x^{4} y^{3} + 6 y^{3} + 4 x^{4} y^{4}) - (x^{4} y^{3} + 6 x^{4} y^{4})$