Mathway | Popular Problems

Popular Problems

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