Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
236701	Rationalize the Denominator	(a^2b^2)/( square root of c)	$\frac{a^{2} b^{2}}{\sqrt{c}}$
236702	Graph	f(x)=(x^2-25)/(2x^2+13x+15)	$f (x) = \frac{x^{2} - 25}{2 x^{2} + 13 x + 15}$
236703	Simplify	(-2xy^-3)^-2	${(- 2 x y^{- 3})}^{- 2}$
236704	Graph	tan(theta)>0 , cos(theta)<0	$\tan (θ) > 0$ , $\cos (θ) < 0$
236705	Simplify	((9x^3+81x^2+126x)/(x^2-4)*4/(6x^2+12x))÷((x^2+9x+14)/(x^2-4))	$\frac{9 x^{3} + 81 x^{2} + 126 x}{x^{2} - 4} \cdot \frac{4}{6 x^{2} + 12 x} \div \frac{x^{2} + 9 x + 14}{x^{2} - 4}$
236706	Multiply	(-3x^2+1)(2x^2+3x-4)	$(- 3 x^{2} + 1) (2 x^{2} + 3 x - 4)$
236707	Evaluate	(9443+45-9.9)8.110^6	$(9443 + 45 - 9.9) \times 8.1 \times 10^{6}$
236708	Solve for a	f(x)=(a+1)x+b-2	$f (x) = (a + 1) x + b - 2$
236709	Simplify	5/(4n)*10/(2n)	$\frac{5}{4 n} \cdot \frac{10}{2 n}$
236710	Simplify the Radical Expression	square root of cube root of 5	$\sqrt{\sqrt[3]{5}}$
236711	Evaluate	8+2(x-6)=-2+2x-2	$8 + 2 (x - 6) = - 2 + 2 x - 2$
236712	Factor	a^3-b^3-3ab(a-b)	$a^{3} - b^{3} - 3 a b (a - b)$
236713	Simplify	a+b-(a^2+b^2)/(a+b)	$a + b - \frac{(a^{2} + b^{2})}{a + b}$
236714	Solve for m	-2m-5m-8=3+(-7)+m	$- 2 m - 5 m - 8 = 3 + (- 7) + m$
236715	Factor by Grouping	24x^2y^2+18xy^4-2xy^3	$24 x^{2} y^{2} + 18 x y^{4} - 2 x y^{3}$
236716	Convert to Radical Form	23-2/3	$23 - \frac{2}{3}$
236717	Solve the Inequality for X	3(2x-1)>4+5(X-1)	$3 (2 x - 1) > 4 + 5 (X - 1)$
236718	Simplify	2(7 square root of 50+2 square root of 8)	$2 (7 \sqrt{50} + 2 \sqrt{8})$
236719	Simplify	-1/4m(8m^2+m-7)	$- \frac{1}{4} m (8 m^{2} + m - 7)$
236720	Evaluate	cos(x)cot(x)+sin(x)	$\cos (x) \cot (x) + \sin (x)$
236721	Solve for x	(30-2x)(20-2x)(x)=1008	$(30 - 2 x) (20 - 2 x) (x) = 1008$
236722	Simplify	(6-5yi)(5-i)+(6-5yi)(2+i)	$(6 - 5 y i) (5 - i) + (6 - 5 y i) (2 + i)$
236723	Simplify	(9-x^2)/(x^2+6x+9)*(3x+9)/(3x-9)	$\frac{9 - x^{2}}{x^{2} + 6 x + 9} \cdot \frac{3 x + 9}{3 x - 9}$
236724	Find the LCD	3/(7x) and 1/(3x+7)	$\frac{3}{7 x}$ and $\frac{1}{3 x + 7}$
236725	Find the Equation Using Point-Slope Formula	(-5,-6) and slope m=3/8	$(- 5, - 6)$ and slope $m = \frac{3}{8}$
236726	Find the Degree, Leading Term, and Leading Coefficient	f(x)=2(x-1)(x+1)^2(x-3)^3	$f (x) = 2 (x - 1) {(x + 1)}^{2} {(x - 3)}^{3}$
236727	Simplify	4*(a+5)+14	$4 \cdot (a + 5) + 14$
236728	Multiply	3x3x3x	$3 x \cdot 3 x \cdot 3 x$
236729	Solve for v	4 = square root of (3v)/(pi*8)	$4 = \sqrt{\frac{3 v}{π \cdot 8}}$
236730	Rationalize the Numerator	( square root of x^2+9-5)/(x+4)	$\frac{\sqrt{x^{2} + 9} - 5}{x + 4}$
236731	Solve for x	-(4+x)/3=-2	$- \frac{4 + x}{3} = - 2$
236732	Simplify	(5x-3)(x+4)-(2x+5)(3x-4)	$(5 x - 3) (x + 4) - (2 x + 5) (3 x - 4)$
236733	Solve the Inequality for x	\|2-3x\|>=7	$\| 2 - 3 x \| \geq 7$
236734	Multiply	(3x^2-2x+1)(x^2+x-4)	$(3 x^{2} - 2 x + 1) (x^{2} + x - 4)$
236735	Divide	12x^3+7x^2+9x+2÷4x+1	$12 x^{3} + 7 x^{2} + 9 x + 2 \div 4 x + 1$
236736	Find the Inverse	y=6-x^3	$y = 6 - x^{3}$
236737	Simplify	((x+4)/2)/((x^2-16)/3)	$\frac{\frac{x + 4}{2}}{\frac{x^{2} - 16}{3}}$
236738	Solve by Factoring	2x^2+3=4x	$2 x^{2} + 3 = 4 x$
236739	Solve for x	4x^3=16	$4 x^{3} = 16$
236740	Solve for x	g=y+c/x	$g = y + \frac{c}{x}$
236741	Solve for x	(x^2+2x+6)^(3/2)+1=0	${(x^{2} + 2 x + 6)}^{\frac{3}{2}} + 1 = 0$
236742	Evaluate	-( square root of 2)/2*( square root of 2)/2	$- \frac{\sqrt{2}}{2} \cdot \frac{\sqrt{2}}{2}$
236743	Find the Product	7(6x^2+9xy+10y^2)	$7 (6 x^{2} + 9 x y + 10 y^{2})$
236744	Solve by Substitution	y=4x and x+y=5	$y = 4 x$ and $x + y = 5$
236745	Simplify	1+(x^2+x-6)/((x+4)(x-2))	$1 + \frac{x^{2} + x - 6}{(x + 4) (x - 2)}$
236746	Simplify	(csc(x)^2-1)/(cos(x)^2)	$\frac{\csc^{2} (x) - 1}{\cos^{2} (x)}$
236747	Evaluate	sin(-t)=3/8	$\sin (- t) = \frac{3}{8}$
236748	Evaluate	4.5+pi	$4.5 + π$
236749	Write in Standard Form	(2x)/3-y/15=1/3	$\frac{2 x}{3} - \frac{y}{15} = \frac{1}{3}$
236750	Write in Standard Form	(2x^3+4x^2-5)-(4x^3-x^2+3x+12)	$(2 x^{3} + 4 x^{2} - 5) - (4 x^{3} - x^{2} + 3 x + 12)$
236751	Graph	p^1v^1=p^2v^2	$p^{1} v^{1} = p^{2} v^{2}$
236752	Simplify	((9x)/(x-8)*(x+4)/(x^2+12x+32))÷((3x)/(9x^3-576x))	$\frac{9 x}{x - 8} \cdot \frac{x + 4}{x^{2} + 12 x + 32} \div \frac{3 x}{9 x^{3} - 576 x}$
236753	Solve for x	-2\|x\|=14	$- 2 \| x \| = 14$
236754	Solve the System of Equations	x+y=-5 y=5x+1	$x + y = - 5$ $y = 5 x + 1$
236755	Solve the System of Equations	-24-8x=12y 1+5/9y=-7/18x	$- 24 - 8 x = 12 y$ $1 + \frac{5}{9} y = - \frac{7}{18} x$
236756	Convert to a Decimal	810deg	$810$ degrees
236757	Simplify	[3(2a)^(3/2)]	$[3 {(2 a)}^{\frac{3}{2}}]$
236758	Simplify	( cube root of 16)^3	${(\sqrt[3]{16})}^{3}$
236759	Evaluate the Function	f(-x)=(3(-x)^2-1)/((-x)^2)	$f (- x) = \frac{3 {(- x)}^{2} - 1}{{(- x)}^{2}}$
236760	Solve for x	square root of x-2+3=-2	$\sqrt{x - 2 + 3} = - 2$
236761	Solve for x	4(1/2x+3)=3x+12-x	$4 (\frac{1}{2} x + 3) = 3 x + 12 - x$
236762	Solve for θ	tan(theta/2) = square root of 3	$\tan (\frac{θ}{2}) = \sqrt{3}$
236763	Solve the System of Equations	(x-5)^(1/2)+5=2 (x-5)^(1/2)=-3 ((x-5)^(1/2))^2=(-3)^2	${(x - 5)}^{\frac{1}{2}} + 5 = 2$ ${(x - 5)}^{\frac{1}{2}} = - 3$ ${({(x - 5)}^{\frac{1}{2}})}^{2} = {(- 3)}^{2}$
236764	Solve for A	A/(3x)*(3x+3)/(x^2-2x-3)=1	$\frac{A}{3 x} \cdot \frac{3 x + 3}{x^{2} - 2 x - 3} = 1$
236765	Simplify	cos(theta)csc(theta)(sec(theta)^2-1)	$\cos (θ) \cdot \csc (θ) \cdot (\sec^{2} (θ) - 1)$
236766	Simplify	3^-4(3x)^3	$3^{- 4} {(3 x)}^{3}$
236767	Simplify	2xy(3xy)^4	$2 x y {(3 x y)}^{4}$
236768	Simplify	((6p^2+p-12)/(8p^2+18p+9))÷((6p^2-11p+4)/(2p^2+13p-7))	$\frac{6 p^{2} + p - 12}{8 p^{2} + 18 p + 9} \div \frac{6 p^{2} - 11 p + 4}{2 p^{2} + 13 p - 7}$
236769	Find All Complex Solutions	3tan(x)^3=tan(x)	$3 \tan^{3} (x) = \tan (x)$
236770	Solve the System of Equations	5x-3y=-7/2 8x+3y=10	$5 x - 3 y = - \frac{7}{2}$ $8 x + 3 y = 10$
236771	Solve for x	3/4(8x)-x=-2(x-7)	$\frac{3}{4} (8 x) - x = - 2 (x - 7)$
236772	Simplify	(2a^(1/3)+a^(-1/3))/(a^(1/3))	$\frac{2 a^{\frac{1}{3}} + a^{- \frac{1}{3}}}{a^{\frac{1}{3}}}$
236773	Solve for x	10=18-4(29-7x)^(1/3)	$10 = 18 - 4 {(29 - 7 x)}^{\frac{1}{3}}$
236774	Solve the Inequality for x	105^(x+2)>1000	$105^{x + 2} > 1000$
236775	Simplify	- square root of (64xy)/(16xy)	$- \sqrt{\frac{64 x y}{16 x y}}$
236776	Simplify	(5-x)/(1/x)	$\frac{5 - x}{\frac{1}{x}}$
236777	Simplify	5/(3x^2)-6x	$\frac{5}{3 x^{2}} - 6 x$
236778	Solve the System of Equations	2x-y=17 x-y=10	$2 x - y = 17$ $x - y = 10$
236779	Solve for h	-7h+2(-4h+5)>-4h+1+10	$- 7 h + 2 (- 4 h + 5) > - 4 h + 1 + 10$
236780	Write in Standard Form	square root of 48	$\sqrt{48}$
236781	Write the Fraction in Simplest Form	limit as x approaches 3 of (x^3-27)/(x-3)	$lim_{x \to 3} \frac{x^{3} - 27}{x - 3}$
236782	Evaluate	(2pi)÷4pi	$2 π \div 4 π$
236783	Simplify	(f(-6))/(f(6))	$\frac{f (- 6)}{f (6)}$
236784	Solve for x	1/3x-3/4=-1/12	$\frac{1}{3} x - \frac{3}{4} = - \frac{1}{12}$
236785	Solve for h	6h^5=12h^3	$6 h^{5} = 12 h^{3}$
236786	Simplify	(2x^2+13x+15)/(4x^2-9)*(2x^2+3x-9)/(x^2+2x-15)	$\frac{2 x^{2} + 13 x + 15}{4 x^{2} - 9} \cdot \frac{2 x^{2} + 3 x - 9}{x^{2} + 2 x - 15}$
236787	Divide	( square root of 3x^2y^3)/(4 square root of 5xy^3)	$\frac{\sqrt{3 x^{2} y^{3}}}{4 \sqrt{5 x y^{3}}}$
236788	Solve for x	1/5(x-6/5)=-51/25	$\frac{1}{5} (x - \frac{6}{5}) = - \frac{51}{25}$
236789	Simplify	(-2x^-5y^3)/(z^-2)	$\frac{- 2 x^{- 5} y^{3}}{z^{- 2}}$
236790	Graph	y>=x+1 , y>=10 , x>=0	$y \geq x + 1$ , $y \geq 10$ , $x \geq 0$
236791	Find the LCD	1/(4x) and 3/(7x+1)	$\frac{1}{4 x}$ and $\frac{3}{7 x + 1}$
236792	Simplify	(x-2)(x^2-x+2)x^3	$(x - 2) (x^{2} - x + 2) x^{3}$
236793	Graph	x^2+y^2<=25 y>=-\|x\|+2	$x^{2} + y^{2} \leq 25$ $y \geq - \| x \| + 2$
236794	Solve for q	Solve: q^2+q=0	Solve: $q^{2} + q = 0$
236795	Solve for q	q-r+s=P	$q - r + s = P$
236796	Find the x and y Intercepts	p(x)=(x+2)(2x^2+3x-9)	$p (x) = (x + 2) (2 x^{2} + 3 x - 9)$
236797	Divide	(18 square root of 2)/(3 square root of 3)	$\frac{18 \sqrt{2}}{3 \sqrt{3}}$
236798	Simplify	(6x^3y^2-6x^3)/(3x^3y^3-3x^3)	$\frac{6 x^{3} y^{2} - 6 x^{3}}{3 x^{3} y^{3} - 3 x^{3}}$
236799	Simplify	( cube root of 135h^2)( cube root of 4h^2)	$(\sqrt[3]{135 h^{2}}) (\sqrt[3]{4 h^{2}})$
236800	Find All Complex Solutions	2sec(x)^2+tan(x)^2-3=0	$2 \sec^{2} (x) + \tan^{2} (x) - 3 = 0$