Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
174901	Write in Standard Form	2x-x^2+8=-2x^2-5x	$2 x - x^{2} + 8 = - 2 x^{2} - 5 x$
174902	Factor	24x^3-9x^2y^2-12y	$24 x^{3} - 9 x^{2} y^{2} - 12 y$
174903	Solve for t	7t^2+28t+56=0	$7 t^{2} + 28 t + 56 = 0$
174904	Find the Product	(-3ab^2)^3	${(- 3 a b^{2})}^{3}$
174905	Multiply	4/3*1	$\frac{4}{3} \cdot 1$
174906	Simplify	( square root of -2)^6	${(\sqrt{- 2})}^{6}$
174907	Solve the Inequality for b	35<7(2-b)	$35 < 7 (2 - b)$
174908	Find the Roots (Zeros)	y=4x^2-16	$y = 4 x^{2} - 16$
174909	Solve for y	x=(3(y-b))/m	$x = \frac{3 (y - b)}{m}$
174910	Evaluate	1/(3^2-9)	$\frac{1}{3^{2} - 9}$
174911	Solve for x	8^2+8^2=x^2	$8^{2} + 8^{2} = x^{2}$
174912	Factor	a/2x+a/2y+b/3x+b/3y	$\frac{a}{2} x + \frac{a}{2} y + \frac{b}{3} x + \frac{b}{3} y$
174913	Simplify	(24x^2+28xk+4k^2)/(6x+6k)	$\frac{24 x^{2} + 28 x k + 4 k^{2}}{6 x + 6 k}$
174914	Find the Domain and Range	b	$b$
174915	Solve for x	10(x-9)-9(5-6x)=2(4x-1)+5(1+2x)	$10 (x - 9) - 9 (5 - 6 x) = 2 (4 x - 1) + 5 (1 + 2 x)$
174916	Solve for a	a^(-1/2)=x	$a^{- \frac{1}{2}} = x$
174917	Find the x and y Intercepts	(x+4)(-x+3)=y	$(x + 4) (- x + 3) = y$
174918	Solve for x	x/(x-3)+1=-1/(x^2-3x)	$\frac{x}{x - 3} + 1 = - \frac{1}{x^{2} - 3 x}$
174919	Find the Discriminant	5x^2-5x-169=2x^2+x+5	$5 x^{2} - 5 x - 169 = 2 x^{2} + x + 5$
174920	Solve for x	5^x>25^(x+1)	$5^{x} > 25^{x + 1}$
174921	Solve for x	square root of x^2+6x-9 = square root of 2x^2	$\sqrt{x^{2} + 6 x - 9} = \sqrt{2 x^{2}}$
174922	Evaluate	5+(-3)(6x-5)	$5 + (- 3) (6 x - 5)$
174923	Solve the System of Equations	2x+y+4z=16 5x-2y+2z=-1 x+2y-3z=-9	$2 x + y + 4 z = 16$ $5 x - 2 y + 2 z = - 1$ $x + 2 y - 3 z = - 9$
174924	Simplify	1/3(3j+6)	$\frac{1}{3} (3 j + 6)$
174925	Find the Product	(6x^2+8)(3x^2-5x+7)	$(6 x^{2} + 8) (3 x^{2} - 5 x + 7)$
174926	Evaluate	(3/4+1/3)+1/2((5/6)÷(1/6))	$(\frac{3}{4} + \frac{1}{3}) + \frac{1}{2} (\frac{5}{6} \div \frac{1}{6})$
174927	Multiply	-3*3/2	$- 3 \cdot \frac{3}{2}$
174928	Solve for g	p=p_a+dgh	$p = p_{a} + d g h$
174929	Simplify	f(x)=((x+2)(x+1)^3)/((x+2)(x-3)^2)	$f (x) = \frac{(x + 2) {(x + 1)}^{3}}{(x + 2) {(x - 3)}^{2}}$
174930	Find the Product	(4a+5b)(4a-5b)	$(4 a + 5 b) (4 a - 5 b)$
174931	Simplify	square root of 4/32	$\sqrt{\frac{4}{32}}$
174932	Solve the Inequality for x	x^2+9x+13>-7	$x^{2} + 9 x + 13 > - 7$
174933	Solve for x	-7x+8-10x^2=7	$- 7 x + 8 - 10 x^{2} = 7$
174934	Simplify	(a+bi)(c+di)	$(a + b i) (c + d i)$
174935	Convert to Base 10	10_(2)	$10_{2}$
174936	Solve for x	x^2+(7-x)^2=25	$x^{2} + {(7 - x)}^{2} = 25$
174937	Solve for j	81j+38j+9j-49j-5=74	$81 j + 38 j + 9 j - 49 j - 5 = 74$
174938	Solve for y	6(y-2)+2=2(3y-5)	$6 (y - 2) + 2 = 2 (3 y - 5)$
174939	Rationalize the Denominator	2/(3+ square root of 5)	$\frac{2}{3 + \sqrt{5}}$
174940	Solve for x	4/5(2x+5)-4=1	$\frac{4}{5} (2 x + 5) - 4 = 1$
174941	Find the Holes in the Graph	(2x-9)/(3x-2)	$\frac{2 x - 9}{3 x - 2}$
174942	Simplify	(x^2-81)/( square root of x-3)	$\frac{x^{2} - 81}{\sqrt{x} - 3}$
174943	Graph	(3,(2pi)/3)	$(3, \frac{2 π}{3})$
174944	Simplify	64^(4/6)	$64^{\frac{4}{6}}$
174945	Find the Roots (Zeros)	x^2(x-9)(2x+1)=0	$x^{2} (x - 9) (2 x + 1) = 0$
174946	Graph	y=-(x^2)/2+5	$y = - \frac{x^{2}}{2} + 5$
174947	Write in Standard Form	17=5-6x-x^2	$17 = 5 - 6 x - x^{2}$
174948	Simplify the Radical Expression	square root of x^8y^18	$\sqrt{x^{8} y^{18}}$
174949	Solve for x	3/x-x/(x+6)=18/(x^2+6x)	$\frac{3}{x} - \frac{x}{x + 6} = \frac{18}{x^{2} + 6 x}$
174950	Solve for x	(x+6)-(2x+7)-3x=-9	$(x + 6) - (2 x + 7) - 3 x = - 9$
174951	Solve for y	3(2+y)-y=4+2(y+1)	$3 (2 + y) - y = 4 + 2 (y + 1)$
174952	Solve for x	(7^(5-x))^(6-x)=49	${(7^{5 - x})}^{6 - x} = 49$
174953	Divide	(2x^3)÷2x	$2 x^{3} \div 2 x$
174954	Solve for x	3-3/(x-7)=x	$3 - \frac{3}{x - 7} = x$
174955	Simplify	3x^3 square root of 72x^6y^2	$3 x^{3} \sqrt{72 x^{6} y^{2}}$
174956	Rationalize the Denominator	( square root of 8)/( square root of 2-2)	$\frac{\sqrt{8}}{\sqrt{2} - 2}$
174957	Solve the System of Inequalities	-43>-5x-8 and -58<-5x-8	$- 43 > - 5 x - 8$ and $- 58 < - 5 x - 8$
174958	Solve for x	x/5=2 1/2	$\frac{x}{5} = 2 \frac{1}{2}$
174959	Solve the Inequality for d	-2d>=26	$- 2 d \geq 26$
174960	Multiply	(x^3-3x^2+1)(x+3)	$(x^{3} - 3 x^{2} + 1) (x + 3)$
174961	Solve the System of Equations	x-3y-z=6 -x+8y-4z=-16 2x-15y+7z=30	$x - 3 y - z = 6$ $- x + 8 y - 4 z = - 16$ $2 x - 15 y + 7 z = 30$
174962	Evaluate	7-(3÷3-1)	$7 - (3 \div 3 - 1)$
174963	Solve for x	(1/4)^(2x)=32^(4x-2)	${(\frac{1}{4})}^{2 x} = 32^{4 x - 2}$
174964	Solve for z	(4z-2)/6=5	$\frac{4 z - 2}{6} = 5$
174965	Write in Exponential Form	( cube root of 2w)^5	${(\sqrt[3]{2 w})}^{5}$
174966	Simplify	((x^2-y^2)(x^2+xy+y^2))/((x^3-y^3)(x+y))	$\frac{(x^{2} - y^{2}) (x^{2} + x y + y^{2})}{(x^{3} - y^{3}) (x + y)}$
174967	Solve for p	(p+10)/(p^2-2)=4/p	$\frac{p + 10}{p^{2} - 2} = \frac{4}{p}$
174968	Simplify	sin(60 degrees )	$\sin (60 °)$
174969	Evaluate	4/3pi*1^3	$\frac{4}{3} π \cdot 1^{3}$
174970	Solve for x	(2x+4)/3=(x+2)/2	$\frac{2 x + 4}{3} = \frac{x + 2}{2}$
174971	Solve for a	a=pi*5^2	$a = π \cdot 5^{2}$
174972	Divide	(-46+54i)/(-5-7i)	$\frac{- 46 + 54 i}{- 5 - 7 i}$
174973	Evaluate Using the Given Value	-b^2-2bx^2-x when x=-2	$- b^{2} - 2 b x^{2} - x$ when $x = - 2$
174974	Find the Domain and Range	f^-1(x)=x/2+1/2	$f^{- 1} (x) = \frac{x}{2} + \frac{1}{2}$
174975	Solve for x	(\|4x-12\|)/2=8	$\frac{\| 4 x - 12 \|}{2} = 8$
174976	Evaluate	x(x+1)	$x (x + 1)$
174977	Solve the System of Equations	f(x)=x^2-2x+3 , f(x)=-2x+12	$f (x) = x^{2} - 2 x + 3$ , $f (x) = - 2 x + 12$
174978	Simplify	4/(1+ square root of 3)	$\frac{4}{1 + \sqrt{3}}$
174979	Solve for x	6(x/4)^(1/2)=42	$6 {(\frac{x}{4})}^{\frac{1}{2}} = 42$
174980	Solve for x	5/4+(3x)/2=(7x)/6	$\frac{5}{4} + \frac{3 x}{2} = \frac{7 x}{6}$
174981	Simplify	x^(2/9)*x^(-4/9)	$x^{\frac{2}{9}} \cdot x^{- \frac{4}{9}}$
174982	Combine Like Terms	(8w^4+w^3)^2	${(8 w^{4} + w^{3})}^{2}$
174983	Evaluate	3+2*6+6^3	$3 + 2 \cdot 6 + 6^{3}$
174984	Solve for a	z=9a-9-3b ; for a	$z = 9 a - 9 - 3 b$ ; for $a$
174985	Solve for y	2y=x	$2 y = x$
174986	Simplify	1/( square root of 2)+1/( square root of 2)	$\frac{1}{\sqrt{2}} + \frac{1}{\sqrt{2}}$
174987	Find the Holes in the Graph	f(x)=(x^2-9)/(x^2-x-12)	$f (x) = \frac{x^{2} - 9}{x^{2} - x - 12}$
174988	Find the Product	(3a^4-5b^2)^2	${(3 a^{4} - 5 b^{2})}^{2}$
174989	Solve for x	f(x)=2x-3	$f (x) = 2 x - 3$
174990	Simplify	2/3x-3y+1/3x+2y	$\frac{2}{3} x - 3 y + \frac{1}{3} x + 2 y$
174991	Find f(g(x))	f(x)=6x g(x)=6x	$f (x) = 6 x$ $g (x) = 6 x$
174992	Solve the System of Inequalities	20<=-5x+10 or -35>-5x+10	$20 \leq - 5 x + 10$ or $- 35 > - 5 x + 10$
174993	Find the Equation of the Circle	Center (0,0) , r=2	Center $(0, 0)$ , $r = 2$
174994	Solve for x	3/8(2x-3)=1/4-x	$\frac{3}{8} (2 x - 3) = \frac{1}{4} - x$
174995	Solve for p	3+\|1+p\|=12	$3 + \| 1 + p \| = 12$
174996	Graph	f(x)=1/2(x-1)^4	$f (x) = \frac{1}{2} {(x - 1)}^{4}$
174997	Write in Standard Form	(x-4)(3x^2+x-5)	$(x - 4) (3 x^{2} + x - 5)$
174998	Find the Expanded Form	(x+4)^2-(y+4)^2-4=0	${(x + 4)}^{2} - {(y + 4)}^{2} - 4 = 0$
174999	Find the Domain and Range	y=(x^2+5x)/(x^2+7x+10)	$y = \frac{x^{2} + 5 x}{x^{2} + 7 x + 10}$
175000	Find the Quotient	(x^3+6x^2+11x+6)÷(x^2+4x+3)	$(x^{3} + 6 x^{2} + 11 x + 6) \div (x^{2} + 4 x + 3)$