Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
236701	Multiply	4x(10x^2+x)	$4 x (10 x^{2} + x)$
236702	Solve for y	(y-1)^2-13(y-1)+36=0	${(y - 1)}^{2} - 13 (y - 1) + 36 = 0$
236703	Graph	x<5 or x>=7	$x < 5$ or $x \geq 7$
236704	Simplify	(2xy)^3*x^2y^2	${(2 x y)}^{3} \cdot x^{2} y^{2}$
236705	Simplify	((a^2-4)/(3a))÷((5a^2)/(a-2))	$\frac{a^{2} - 4}{3 a} \div \frac{5 a^{2}}{a - 2}$
236706	Simplify	( square root of 8)/(2 square root of 9)	$\frac{\sqrt{8}}{2 \sqrt{9}}$
236707	Divide	(56y^3+49y^2)÷(-7y)y^3	$(56 y^{3} + 49 y^{2}) \div (- 7 y) y^{3}$
236708	Divide Using Long Polynomial Division	(18x^4+9x^3+3x^2)÷(3x^2+1)	$(18 x^{4} + 9 x^{3} + 3 x^{2}) \div (3 x^{2} + 1)$
236709	Solve by Factoring	1/4x^2+11=38	$\frac{1}{4} x^{2} + 11 = 38$
236710	Divide	((4x-24)/(-3x-15))/((x^2-36)/(x+5))	$\frac{\frac{4 x - 24}{- 3 x - 15}}{\frac{x^{2} - 36}{x + 5}}$
236711	Find the Exact Value	22+82^2+9	$2 \cdot 2 + 8 \cdot 2^{2} + 9$
236712	Evaluate	-2(x+2)<14	$- 2 (x + 2) < 14$
236713	Graph	y>=-1/2x-4 y<=x+1	$y \geq - \frac{1}{2} x - 4$ $y \leq x + 1$
236714	Graph	x^2+y^2+ax+by+c=0	$x^{2} + y^{2} + a x + b y + c = 0$
236715	Solve by Factoring	x^2=5	$x^{2} = 5$
236716	Solve for x	(3cos(x)-6sin(x))^2-27sin(x)^2=9	${(3 \cos (x) - 6 \sin (x))}^{2} - 27 \sin^{2} (x) = 9$
236717	Rationalize the Denominator	(a^2b^2)/( square root of c)	$\frac{a^{2} b^{2}}{\sqrt{c}}$
236718	Graph	f(x)=(x^2-25)/(2x^2+13x+15)	$f (x) = \frac{x^{2} - 25}{2 x^{2} + 13 x + 15}$
236719	Simplify	(-2xy^-3)^-2	${(- 2 x y^{- 3})}^{- 2}$
236720	Graph	tan(theta)>0 , cos(theta)<0	$\tan (θ) > 0$ , $\cos (θ) < 0$
236721	Simplify	((9x^3+81x^2+126x)/(x^2-4)*4/(6x^2+12x))÷((x^2+9x+14)/(x^2-4))	$\frac{9 x^{3} + 81 x^{2} + 126 x}{x^{2} - 4} \cdot \frac{4}{6 x^{2} + 12 x} \div \frac{x^{2} + 9 x + 14}{x^{2} - 4}$
236722	Multiply	(-3x^2+1)(2x^2+3x-4)	$(- 3 x^{2} + 1) (2 x^{2} + 3 x - 4)$
236723	Evaluate	(9443+45-9.9)8.110^6	$(9443 + 45 - 9.9) \times 8.1 \times 10^{6}$
236724	Solve for a	f(x)=(a+1)x+b-2	$f (x) = (a + 1) x + b - 2$
236725	Simplify	5/(4n)*10/(2n)	$\frac{5}{4 n} \cdot \frac{10}{2 n}$
236726	Simplify the Radical Expression	square root of cube root of 5	$\sqrt{\sqrt[3]{5}}$
236727	Evaluate	8+2(x-6)=-2+2x-2	$8 + 2 (x - 6) = - 2 + 2 x - 2$
236728	Factor	a^3-b^3-3ab(a-b)	$a^{3} - b^{3} - 3 a b (a - b)$
236729	Simplify	a+b-(a^2+b^2)/(a+b)	$a + b - \frac{(a^{2} + b^{2})}{a + b}$
236730	Solve for m	-2m-5m-8=3+(-7)+m	$- 2 m - 5 m - 8 = 3 + (- 7) + m$
236731	Factor by Grouping	24x^2y^2+18xy^4-2xy^3	$24 x^{2} y^{2} + 18 x y^{4} - 2 x y^{3}$
236732	Convert to Radical Form	23-2/3	$23 - \frac{2}{3}$
236733	Solve the Inequality for X	3(2x-1)>4+5(X-1)	$3 (2 x - 1) > 4 + 5 (X - 1)$
236734	Simplify	2(7 square root of 50+2 square root of 8)	$2 (7 \sqrt{50} + 2 \sqrt{8})$
236735	Simplify	-1/4m(8m^2+m-7)	$- \frac{1}{4} m (8 m^{2} + m - 7)$
236736	Evaluate	cos(x)cot(x)+sin(x)	$\cos (x) \cot (x) + \sin (x)$
236737	Solve for x	(30-2x)(20-2x)(x)=1008	$(30 - 2 x) (20 - 2 x) (x) = 1008$
236738	Simplify	(6-5yi)(5-i)+(6-5yi)(2+i)	$(6 - 5 y i) (5 - i) + (6 - 5 y i) (2 + i)$
236739	Simplify	(9-x^2)/(x^2+6x+9)*(3x+9)/(3x-9)	$\frac{9 - x^{2}}{x^{2} + 6 x + 9} \cdot \frac{3 x + 9}{3 x - 9}$
236740	Find the LCD	3/(7x) and 1/(3x+7)	$\frac{3}{7 x}$ and $\frac{1}{3 x + 7}$
236741	Find the Equation Using Point-Slope Formula	(-5,-6) and slope m=3/8	$(- 5, - 6)$ and slope $m = \frac{3}{8}$
236742	Find the Degree, Leading Term, and Leading Coefficient	f(x)=2(x-1)(x+1)^2(x-3)^3	$f (x) = 2 (x - 1) {(x + 1)}^{2} {(x - 3)}^{3}$
236743	Simplify	4*(a+5)+14	$4 \cdot (a + 5) + 14$
236744	Multiply	3x3x3x	$3 x \cdot 3 x \cdot 3 x$
236745	Solve for v	4 = square root of (3v)/(pi*8)	$4 = \sqrt{\frac{3 v}{π \cdot 8}}$
236746	Rationalize the Numerator	( square root of x^2+9-5)/(x+4)	$\frac{\sqrt{x^{2} + 9} - 5}{x + 4}$
236747	Solve for x	-(4+x)/3=-2	$- \frac{4 + x}{3} = - 2$
236748	Simplify	(5x-3)(x+4)-(2x+5)(3x-4)	$(5 x - 3) (x + 4) - (2 x + 5) (3 x - 4)$
236749	Solve the Inequality for x	\|2-3x\|>=7	$\| 2 - 3 x \| \geq 7$
236750	Multiply	(3x^2-2x+1)(x^2+x-4)	$(3 x^{2} - 2 x + 1) (x^{2} + x - 4)$
236751	Divide	12x^3+7x^2+9x+2÷4x+1	$12 x^{3} + 7 x^{2} + 9 x + 2 \div 4 x + 1$
236752	Find the Inverse	y=6-x^3	$y = 6 - x^{3}$
236753	Simplify	((x+4)/2)/((x^2-16)/3)	$\frac{\frac{x + 4}{2}}{\frac{x^{2} - 16}{3}}$
236754	Solve by Factoring	2x^2+3=4x	$2 x^{2} + 3 = 4 x$
236755	Solve for x	4x^3=16	$4 x^{3} = 16$
236756	Solve for x	g=y+c/x	$g = y + \frac{c}{x}$
236757	Solve for x	(x^2+2x+6)^(3/2)+1=0	${(x^{2} + 2 x + 6)}^{\frac{3}{2}} + 1 = 0$
236758	Evaluate	-( square root of 2)/2*( square root of 2)/2	$- \frac{\sqrt{2}}{2} \cdot \frac{\sqrt{2}}{2}$
236759	Find the Product	7(6x^2+9xy+10y^2)	$7 (6 x^{2} + 9 x y + 10 y^{2})$
236760	Solve by Substitution	y=4x and x+y=5	$y = 4 x$ and $x + y = 5$
236761	Simplify	1+(x^2+x-6)/((x+4)(x-2))	$1 + \frac{x^{2} + x - 6}{(x + 4) (x - 2)}$
236762	Simplify	(csc(x)^2-1)/(cos(x)^2)	$\frac{\csc^{2} (x) - 1}{\cos^{2} (x)}$
236763	Evaluate	sin(-t)=3/8	$\sin (- t) = \frac{3}{8}$
236764	Evaluate	4.5+pi	$4.5 + π$
236765	Write in Standard Form	(2x)/3-y/15=1/3	$\frac{2 x}{3} - \frac{y}{15} = \frac{1}{3}$
236766	Write in Standard Form	(2x^3+4x^2-5)-(4x^3-x^2+3x+12)	$(2 x^{3} + 4 x^{2} - 5) - (4 x^{3} - x^{2} + 3 x + 12)$
236767	Graph	p^1v^1=p^2v^2	$p^{1} v^{1} = p^{2} v^{2}$
236768	Simplify	((9x)/(x-8)*(x+4)/(x^2+12x+32))÷((3x)/(9x^3-576x))	$\frac{9 x}{x - 8} \cdot \frac{x + 4}{x^{2} + 12 x + 32} \div \frac{3 x}{9 x^{3} - 576 x}$
236769	Solve for x	-2\|x\|=14	$- 2 \| x \| = 14$
236770	Solve the System of Equations	x+y=-5 y=5x+1	$x + y = - 5$ $y = 5 x + 1$
236771	Solve the System of Equations	-24-8x=12y 1+5/9y=-7/18x	$- 24 - 8 x = 12 y$ $1 + \frac{5}{9} y = - \frac{7}{18} x$
236772	Convert to a Decimal	810deg	$810$ degrees
236773	Simplify	[3(2a)^(3/2)]	$[3 {(2 a)}^{\frac{3}{2}}]$
236774	Simplify	( cube root of 16)^3	${(\sqrt[3]{16})}^{3}$
236775	Evaluate the Function	f(-x)=(3(-x)^2-1)/((-x)^2)	$f (- x) = \frac{3 {(- x)}^{2} - 1}{{(- x)}^{2}}$
236776	Solve for x	square root of x-2+3=-2	$\sqrt{x - 2 + 3} = - 2$
236777	Solve for x	4(1/2x+3)=3x+12-x	$4 (\frac{1}{2} x + 3) = 3 x + 12 - x$
236778	Solve for θ	tan(theta/2) = square root of 3	$\tan (\frac{θ}{2}) = \sqrt{3}$
236779	Solve the System of Equations	(x-5)^(1/2)+5=2 (x-5)^(1/2)=-3 ((x-5)^(1/2))^2=(-3)^2	${(x - 5)}^{\frac{1}{2}} + 5 = 2$ ${(x - 5)}^{\frac{1}{2}} = - 3$ ${({(x - 5)}^{\frac{1}{2}})}^{2} = {(- 3)}^{2}$
236780	Solve for A	A/(3x)*(3x+3)/(x^2-2x-3)=1	$\frac{A}{3 x} \cdot \frac{3 x + 3}{x^{2} - 2 x - 3} = 1$
236781	Simplify	cos(theta)csc(theta)(sec(theta)^2-1)	$\cos (θ) \cdot \csc (θ) \cdot (\sec^{2} (θ) - 1)$
236782	Simplify	3^-4(3x)^3	$3^{- 4} {(3 x)}^{3}$
236783	Simplify	2xy(3xy)^4	$2 x y {(3 x y)}^{4}$
236784	Simplify	((6p^2+p-12)/(8p^2+18p+9))÷((6p^2-11p+4)/(2p^2+13p-7))	$\frac{6 p^{2} + p - 12}{8 p^{2} + 18 p + 9} \div \frac{6 p^{2} - 11 p + 4}{2 p^{2} + 13 p - 7}$
236785	Find All Complex Solutions	3tan(x)^3=tan(x)	$3 \tan^{3} (x) = \tan (x)$
236786	Solve the System of Equations	5x-3y=-7/2 8x+3y=10	$5 x - 3 y = - \frac{7}{2}$ $8 x + 3 y = 10$
236787	Solve for x	3/4(8x)-x=-2(x-7)	$\frac{3}{4} (8 x) - x = - 2 (x - 7)$
236788	Simplify	(2a^(1/3)+a^(-1/3))/(a^(1/3))	$\frac{2 a^{\frac{1}{3}} + a^{- \frac{1}{3}}}{a^{\frac{1}{3}}}$
236789	Solve for x	10=18-4(29-7x)^(1/3)	$10 = 18 - 4 {(29 - 7 x)}^{\frac{1}{3}}$
236790	Solve the Inequality for x	105^(x+2)>1000	$105^{x + 2} > 1000$
236791	Simplify	- square root of (64xy)/(16xy)	$- \sqrt{\frac{64 x y}{16 x y}}$
236792	Simplify	(5-x)/(1/x)	$\frac{5 - x}{\frac{1}{x}}$
236793	Simplify	5/(3x^2)-6x	$\frac{5}{3 x^{2}} - 6 x$
236794	Solve the System of Equations	2x-y=17 x-y=10	$2 x - y = 17$ $x - y = 10$
236795	Solve for h	-7h+2(-4h+5)>-4h+1+10	$- 7 h + 2 (- 4 h + 5) > - 4 h + 1 + 10$
236796	Write in Standard Form	square root of 48	$\sqrt{48}$
236797	Write the Fraction in Simplest Form	limit as x approaches 3 of (x^3-27)/(x-3)	$lim_{x \to 3} \frac{x^{3} - 27}{x - 3}$
236798	Evaluate	(2pi)÷4pi	$2 π \div 4 π$
236799	Simplify	(f(-6))/(f(6))	$\frac{f (- 6)}{f (6)}$
236800	Solve for x	1/3x-3/4=-1/12	$\frac{1}{3} x - \frac{3}{4} = - \frac{1}{12}$