Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
200601	Rationalize the Denominator	square root of 4/5	$\sqrt{\frac{4}{5}}$
200602	Simplify	11x^3*7x^(7/3)	$11 x^{3} \cdot 7 x^{\frac{7}{3}}$
200603	Simplify	(5^(1/2)x^(1/4))^2	${(5^{\frac{1}{2}} x^{\frac{1}{4}})}^{2}$
200604	Solve for y	22y+7=8y	$22 y + 7 = 8 y$
200605	Find the Focus	(x-1)^2+8(y+2)=0	${(x - 1)}^{2} + 8 (y + 2) = 0$
200606	Simplify	(4 7/8x^2-6 3/5x)+(4 4/5x-2 3/8x^2)	$(4 \frac{7}{8} x^{2} - 6 \frac{3}{5} x) + (4 \frac{4}{5} x - 2 \frac{3}{8} x^{2})$
200607	Simplify	(x^2)/(x^2-16)+(8(x-2))/(16-x^2)	$\frac{x^{2}}{x^{2} - 16} + \frac{8 (x - 2)}{16 - x^{2}}$
200608	Simplify	(a^2+6a+9)/(a^2+6a+15)	$\frac{a^{2} + 6 a + 9}{a^{2} + 6 a + 15}$
200609	Write in Standard Form	3x-y^2=4x+25	$3 x - y^{2} = 4 x + 25$
200610	Solve for j	3j=9(j-10)	$3 j = 9 (j - 10)$
200611	Solve for x	-2x^2+5x+6=4x^2+5x	$- 2 x^{2} + 5 x + 6 = 4 x^{2} + 5 x$
200612	Simplify	2/3(6x-1/6)+3x	$\frac{2}{3} (6 x - \frac{1}{6}) + 3 x$
200613	Solve for g	-4g+4+4=10-2g	$- 4 g + 4 + 4 = 10 - 2 g$
200614	Solve the System of Equations	8x+2y=6 3y=-12x+9	$8 x + 2 y = 6$ $3 y = - 12 x + 9$
200615	Simplify the Radical Expression	square root of 7+ square root of 7	$\sqrt{7} + \sqrt{7}$
200616	Evaluate	1/6+3 2/4	$\frac{1}{6} + 3 \frac{2}{4}$
200617	Simplify	i square root of 6*i square root of 1/3	$i \sqrt{6} \cdot i \sqrt{\frac{1}{3}}$
200618	Simplify	(5 square root of 8)/( square root of 18)	$\frac{5 \sqrt{8}}{\sqrt{18}}$
200619	Solve for x	4/9x-12=-1/6(x-12)-3	$\frac{4}{9} x - 12 = - \frac{1}{6} (x - 12) - 3$
200620	Solve by Addition/Elimination	y=-x+1 y=4x-14	$y = - x + 1$ $y = 4 x - 14$
200621	Factor	x(b+c)+3b+3c	$x (b + c) + 3 b + 3 c$
200622	Evaluate	30-1÷(1/25)	$30 - 1 \div \frac{1}{25}$
200623	Simplify	3 cube root of 36xy*2 cube root of 6x^2y^2	$3 \sqrt[3]{36 x y} \cdot 2 \sqrt[3]{6 x^{2} y^{2}}$
200624	Solve the Inequality for x	(x+3)/x>=2	$\frac{x + 3}{x} \geq 2$
200625	Evaluate	(x+5)/(y-3)=0	$\frac{(x + 5)}{(y - 3)} = 0$
200626	Simplify	((b-2)^2)/((2-b)^2)	$\frac{{(b - 2)}^{2}}{{(2 - b)}^{2}}$
200627	Simplify	((x^2+2x-3)/(x-4))/((2x^2+5x-3)/(x^2-16))	$\frac{\frac{x^{2} + 2 x - 3}{x - 4}}{\frac{2 x^{2} + 5 x - 3}{x^{2} - 16}}$
200628	Simplify	5a^0+(5a)^0	$5 a^{0} + {(5 a)}^{0}$
200629	Find the Product	(2x^3y-3y)^2	${(2 x^{3} y - 3 y)}^{2}$
200630	Simplify	(x-3)/(x-1)-2/(1-x)	$\frac{x - 3}{x - 1} - \frac{2}{1 - x}$
200631	Solve the Inequality for y	32>-2y	$32 > - 2 y$
200632	Simplify	(8y^-8)/(x^3y^-5)	$\frac{8 y^{- 8}}{x^{3} y^{- 5}}$
200633	Solve for m	2m^3-m^2-18m+9=0	$2 m^{3} - m^{2} - 18 m + 9 = 0$
200634	Convert to Radical Form	((a^2+3)^(1/3))/((a^2-3)^(-1/3))	$\frac{{(a^{2} + 3)}^{\frac{1}{3}}}{{(a^{2} - 3)}^{\frac{- 1}{3}}}$
200635	Simplify	(xy)/(a^2+a^3)*(a+a^2)/(x^2y^2)	$\frac{x y}{a^{2} + a^{3}} \cdot \frac{a + a^{2}}{x^{2} y^{2}}$
200636	Simplify	(5x)/(4x-8)+(x+2)/(x-2)	$\frac{5 x}{4 x - 8} + \frac{x + 2}{x - 2}$
200637	Solve for y	-2+2(6y+7)=9y	$- 2 + 2 (6 y + 7) = 9 y$
200638	Evaluate	0.756^2-0.2410.756-0.4150.756	${0.756}^{2} - 0.241 \cdot 0.756 - 0.415 \cdot 0.756$
200639	Find the Product	(2^3x)^2	${(2^{3} x)}^{2}$
200640	Solve for y	1-2/(6y)=3/(12y)	$1 - \frac{2}{6 y} = \frac{3}{12 y}$
200641	Solve by Substitution	-1=2x-y 8x-4y=-4	$- 1 = 2 x - y$ $8 x - 4 y = - 4$
200642	Solve for m	0.5(7m-5)+3=8(2m+0.5)	$0.5 (7 m - 5) + 3 = 8 (2 m + 0.5)$
200643	Solve the Inequality for x	4 square root of x-2>20	$4 \sqrt{x - 2} > 20$
200644	Simplify	i square root of 18+i square root of 27	$i \sqrt{18} + i \sqrt{27}$
200645	Simplify	((x^(1/4))^8)/( cube root of x^3)	$\frac{{(x^{\frac{1}{4}})}^{8}}{\sqrt[3]{x^{3}}}$
200646	Multiply	6 square root of 8*2 square root of 3	$6 \sqrt{8} \cdot 2 \sqrt{3}$
200647	Multiply	(2x^2-x-3)/(x+4)*(x^2-2x-24)/(x+1)	$\frac{2 x^{2} - x - 3}{x + 4} \cdot \frac{x^{2} - 2 x - 24}{x + 1}$
200648	Simplify	(x^-2y)/(x^4y^-1)	$\frac{x^{- 2} y}{x^{4} y^{- 1}}$
200649	Factor	(24x^4-15x^2+6x)-(10x^4+5x^2-4x)	$(24 x^{4} - 15 x^{2} + 6 x) - (10 x^{4} + 5 x^{2} - 4 x)$
200650	Solve for n	n=2 , a=36	$n = 2$ , $a = 36$
200651	Solve for x	\|x-3\|+1=0	$\| x - 3 \| + 1 = 0$
200652	Simplify the Radical Expression	-2 fourth root of 80x^8y^9z	$- 2 \sqrt[4]{80 x^{8} y^{9} z}$
200653	Simplify	(-10m^-1y^0r)/(-14m^-7y^-3r^-4)	$\frac{- 10 m^{- 1} y^{0} r}{- 14 m^{- 7} y^{- 3} r^{- 4}}$
200654	Convert to Radical Form	13(ab)^(1/2)	$13 {(a b)}^{\frac{1}{2}}$
200655	Solve for x	1/5(5x-5)+3x=-9(1/3X+4)	$\frac{1}{5} (5 x - 5) + 3 x = - 9 (\frac{1}{3} X + 4)$
200656	Simplify	(2^33^2)/(2^43^2)	$\frac{2^{3} \cdot 3^{2}}{2^{4} \cdot 3^{2}}$
200657	Solve for m	5(m-2)+m=6(m-4)	$5 (m - 2) + m = 6 (m - 4)$
200658	Solve for k	10k-10=5(3k+5)	$10 k - 10 = 5 (3 k + 5)$
200659	Solve Using the Quadratic Formula	9x^2-1-(3x-2)^2=0	$9 x^{2} - 1 - {(3 x - 2)}^{2} = 0$
200660	Simplify	(a-b)(a+b)(a-3b)	$(a - b) (a + b) (a - 3 b)$
200661	Solve for m	(5^6)/(5^m)=5^9	$\frac{5^{6}}{5^{m}} = 5^{9}$
200662	Simplify	square root of cube root of (x^5y^-8)^2	$\sqrt{\sqrt[3]{{(x^{5} y^{- 8})}^{2}}}$
200663	Simplify	square root of 13( sixth root of 13)	$\sqrt{13} (\sqrt[6]{13})$
200664	Simplify	(w(xy)^-2)/((3tv)^-2)	$\frac{w {(x y)}^{- 2}}{{(3 t v)}^{- 2}}$
200665	Solve the System of Inequalities	2x-y>=-2 8x-y<5	$2 x - y \geq - 2$ $8 x - y < 5$
200666	Solve for x	(3x-5)/4=-5/7	$\frac{3 x - 5}{4} = \frac{- 5}{7}$
200667	Graph	6<x+3y	$6 < x + 3 y$
200668	Simplify	fourth root of 3( fourth root of 2+ fourth root of 4)	$\sqrt[4]{3} (\sqrt[4]{2} + \sqrt[4]{4})$
200669	Simplify	((2a^-2b^4c^2)/(-4a^-2b^-5c^-7))^-1	${(\frac{2 a^{- 2} b^{4} c^{2}}{- 4 a^{- 2} b^{- 5} c^{- 7}})}^{- 1}$
200670	Evaluate	log base b of bx	$\log_{b} (b x)$
200671	Solve the Inequality for N	-9+3(7N+1)<=2N-1+5N	$- 9 + 3 (7 N + 1) \leq 2 N - 1 + 5 N$
200672	Solve for x	3-(4x)/5=(4+x)/5	$3 - \frac{4 x}{5} = \frac{4 + x}{5}$
200673	Graph	3x+y<=1 x-y<=3	$3 x + y \leq 1$ $x - y \leq 3$
200674	Simplify	(-10(pt^4)r)/(-5p^3t^2r)	$\frac{- 10 p t^{4} r}{- 5 p^{3} t^{2} r}$
200675	Solve the System of Equations	x-2y=-6 4y=2x+12	$x - 2 y = - 6$ $4 y = 2 x + 12$
200676	Simplify	(a/b)^(-4/5)	${(\frac{a}{b})}^{- \frac{4}{5}}$
200677	Solve for x	10/(2x-9)=20/9	$\frac{10}{2 x - 9} = \frac{20}{9}$
200678	Solve for s	fourth root of 2s+10=4	$\sqrt[4]{2 s + 10} = 4$
200679	Simplify	((c+2)^2)/(7c^2+14c)	$\frac{{(c + 2)}^{2}}{7 c^{2} + 14 c}$
200680	Simplify	x(2x^2+3x)	$x (2 x^{2} + 3 x)$
200681	Find the x and y Intercepts	f(x)=-12 cube root of x	$f (x) = - 12 \sqrt[3]{x}$
200682	Simplify	((x+4)/(x^2+2))÷((x^2-2)/(x-8))	$\frac{x + 4}{x^{2} + 2} \div \frac{x^{2} - 2}{x - 8}$
200683	Solve the Inequality for h	2/3h>14	$\frac{2}{3} h > 14$
200684	Simplify the Radical Expression	cube root of 250+ cube root of 54+ square root of 72	$\sqrt[3]{250} + \sqrt[3]{54} + \sqrt{72}$
200685	Graph	x=-1/2y^2-4y-7	$x = - \frac{1}{2} y^{2} - 4 y - 7$
200686	Find the Degree, Leading Term, and Leading Coefficient	f(x)=(x-2)^2(x+3)(x+1)^2	$f (x) = {(x - 2)}^{2} (x + 3) {(x + 1)}^{2}$
200687	Simplify	(-3x+x^3-2x^2)-(4x^3-2x^2-4x)	$(- 3 x + x^{3} - 2 x^{2}) - (4 x^{3} - 2 x^{2} - 4 x)$
200688	Graph Using a Table of Values	y=0.5^x	$y = {0.5}^{x}$
200689	Convert to Radical Form	(7ab)^(1/2)	${(7 a b)}^{\frac{1}{2}}$
200690	Solve for x	5x=ax+w	$5 x = a x + w$
200691	Simplify	(tan(x)-sin(x))/(sin(x))	$\frac{\tan (x) - \sin (x)}{\sin (x)}$
200692	Simplify	4/(5(x+9))+(3x)/(x+9)	$\frac{4}{5 (x + 9)} + \frac{3 x}{x + 9}$
200693	Find the x and y Intercepts	y=(2x+3)(x-1)(x-4)	$y = (2 x + 3) (x - 1) (x - 4)$
200694	Evaluate	(5(37^15-197^14))/(7^16+3*7^15)	$\frac{5 (3 \cdot 7^{15} - 19 \cdot 7^{14})}{7^{16} + 3 \cdot 7^{15}}$
200695	Simplify	( square root of 4)/(3 square root of 25)	$\frac{\sqrt{4}}{3 \sqrt{25}}$
200696	Find the Domain and Range	( square root of x-2)/(x-3)	$\frac{\sqrt{x - 2}}{x - 3}$
200697	Simplify the Radical Expression	1/( square root of x)	$\frac{1}{\sqrt{x}}$
200698	Find the Discriminant	-x^2+2x+3=-6X	$- x^{2} + 2 x + 3 = - 6 X$
200699	Simplify	(-4a^2)(2a^-3)^-4	$(- 4 a^{2}) {(2 a^{- 3})}^{- 4}$
200700	Factor	1/3xy+2/3y	$\frac{1}{3} x y + \frac{2}{3} y$