Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
238601	Find the Holes in the Graph	H(x)=(4x^2-80x+364)/(x^2-18x+77)	$H (x) = \frac{4 x^{2} - 80 x + 364}{x^{2} - 18 x + 77}$
238602	Find the Roots (Zeros)	4x^3-3x^2+1	$4 x^{3} - 3 x^{2} + 1$
238603	Simplify	((x+1)/(x^2))/(1/x+(x+1)/x)	$\frac{\frac{x + 1}{x^{2}}}{\frac{1}{x} + \frac{x + 1}{x}}$
238604	Divide	((x+2)/(x-4))÷(1/(3x-12))	$\frac{x + 2}{x - 4} \div \frac{1}{3 x - 12}$
238605	Convert to Radical Form	square root of x^(3/4)x^-1	$\sqrt{x^{\frac{3}{4}} x^{- 1}}$
238606	Solve for x	square root of x+2=2x+1	$\sqrt{x + 2} = 2 x + 1$
238607	Solve for x	2(3-5(6+x))=15x	$2 (3 - 5 (6 + x)) = 15 x$
238608	Find the Domain and Range	y=cos(x-pi/2)	$y = \cos (x - \frac{π}{2})$
238609	Find the Roots (Zeros)	3x^4-9x^3+x^2-3x	$3 x^{4} - 9 x^{3} + x^{2} - 3 x$
238610	Solve for x	1/(x-a)+1/(x+a)=2/(x-1)	$\frac{1}{x - a} + \frac{1}{x + a} = \frac{2}{x - 1}$
238611	Graph	\|2x+2\|-7<=-5	$\| 2 x + 2 \| - 7 \leq - 5$
238612	Evaluate	11x^3*7x^(7/3)	$11 x^{3} \cdot 7 x^{\frac{7}{3}}$
238613	Solve the Absolute Value Inequality for w	\|3-6w\|=39	$\| 3 - 6 w \| = 39$
238614	Multiply	(4t+4)/(t-5)*(t^2-t-20)	$\frac{4 t + 4}{t - 5} \cdot (t^{2} - t - 20)$
238615	Find the Degree	f(x)=2-11x+2x^2	$f (x) = 2 - 11 x + 2 x^{2}$
238616	Subtract	7/12-(4x)/(3x)	$\frac{7}{12} - \frac{4 x}{3 x}$
238617	Simplify	-9/(2 square root of 45)	$- \frac{9}{2 \sqrt{45}}$
238618	Evaluate	csc(0 degrees )	$\csc (0 °)$
238619	Convert to a Percentage	22 is what percent of 40	$22$ is what percent of $40$
238620	Solve the Inequality for x	y<4x-5	$y < 4 x - 5$
238621	Simplify	1/2a^3b^2-2a^2b^3-a^3b^2-2/3a^2b^3	$\frac{1}{2} a^{3} b^{2} - 2 a^{2} b^{3} - a^{3} b^{2} - \frac{2}{3} a^{2} b^{3}$
238622	Solve the Inequality for x	(x-1)(3x-4)>=0	$(x - 1) (3 x - 4) \geq 0$
238623	Simplify	(y^2+8y)/(y^2-9)+(2y+21)/(y^2-9)	$\frac{y^{2} + 8 y}{y^{2} - 9} + \frac{2 y + 21}{y^{2} - 9}$
238624	Rationalize the Denominator	(x^3)/( square root of x)	$\frac{x^{3}}{\sqrt{x}}$
238625	Evaluate	8% of 150	$8 %$ of $150$
238626	Solve the Inequality for k	-18+k/3<=-26	$- 18 + \frac{k}{3} \leq - 26$
238627	Solve the System of Inequalities	x<-10 and x<10	$x < - 10$ and $x < 10$
238628	Solve for y	x^2+y^2-4=0	$x^{2} + y^{2} - 4 = 0$
238629	Write in y=mx+b Form	x=4y	$x = 4 y$
238630	Solve the Inequality for x	5 square root of x+2>17	$5 \sqrt{x} + 2 > 17$
238631	Multiply	3 square root of 5a*8 square root of 35a^2	$3 \sqrt{5 a} \cdot 8 \sqrt{35 a^{2}}$
238632	Simplify	(9x^5y^-3z^-2)/(3x^3y^3z^5)	$\frac{9 x^{5} y^{- 3} z^{- 2}}{3 x^{3} y^{3} z^{5}}$
238633	Divide Using Long Polynomial Division	8x^3+6x^2+15x+7 divided by 2x+1	$8 x^{3} + 6 x^{2} + 15 x + 7$ divided by $2 x + 1$
238634	Solve the Absolute Value Inequality for x	2\|3-3x\|-2<22	$2 \| 3 - 3 x \| - 2 < 22$
238635	Solve for b	2=-2/5(-3)+b	$2 = - \frac{2}{5} (- 3) + b$
238636	Evaluate	20% of 5	$20 %$ of $5$
238637	Evaluate	(x^2)/(x^(1/2))	$\frac{x^{2}}{x^{\frac{1}{2}}}$
238638	Find the Domain and Range	f(x)=0.5\|2x-4\|+3	$f (x) = 0.5 \| 2 x - 4 \| + 3$
238639	Graph	y=-x^3+3x^2-2	$y = - x^{3} + 3 x^{2} - 2$
238640	Divide	(6p^3+150p^2+5p)÷15p	$(6 p^{3} + 150 p^{2} + 5 p) \div 15 p$
238641	Graph	{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}	${{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}$
238642	Convert to Radical Form	z^-11*z^-15	$z^{- 11} \cdot z^{- 15}$
238643	Solve for y	y=1/4(0)^2	$y = \frac{1}{4} {(0)}^{2}$
238644	Simplify	3^(x+2)9^(x-1)3^2	$3^{x + 2} \cdot 9^{x - 1} \cdot 3^{2}$
238645	Solve the System of Inequalities	x<4 and x>=1	$x < 4$ and $x \geq 1$
238646	Solve for u	u/12=6/9	$\frac{u}{12} = \frac{6}{9}$
238647	Simplify/Condense	(sin(x)+cos(x))^2	${(\sin (x) + \cos (x))}^{2}$
238648	Graph	-2(7+y)>=-8(y+1)	$- 2 (7 + y) \geq - 8 (y + 1)$
238649	Evaluate	(4n^4-8n+4)-(8n^2+4n^4+1)	$(4 n^{4} - 8 n + 4) - (8 n^{2} + 4 n^{4} + 1)$
238650	Simplify	(2cos(theta)-1)(2cos(theta)+1)	$(2 \cos (θ) - 1) (2 \cos (θ) + 1)$
238651	Evaluate	8e^(4x+8)=15	$8 e^{4 x + 8} = 15$
238652	Find the Equation Using Two Points	(3,6) and (5,5)	$(3, 6)$ and $(5, 5)$
238653	Solve the Inequality for y	2x-5y>8	$2 x - 5 y > 8$
238654	Solve the System of Equations	8-0.9x=0.4y -y+0.3x=1.6	$8 - 0.9 x = 0.4 y$ $- y + 0.3 x = 1.6$
238655	Solve for x	(x-1)/(x+1)+4/(x-1)=5/2	$\frac{x - 1}{x + 1} + \frac{4}{x - 1} = \frac{5}{2}$
238656	Solve the Inequality for x	1/2x+3<2/3x+5/3	$\frac{1}{2} x + 3 < \frac{2}{3} x + \frac{5}{3}$
238657	Simplify the Radical Expression	sixth root of y^4	$\sqrt[6]{y^{4}}$
238658	Evaluate	31914+18÷2	$3 \cdot 19 \cdot 14 + 18 \div 2$
238659	Evaluate	fourth root of 256(x^2-1)^12	$\sqrt[4]{256 {(x^{2} - 1)}^{12}}$
238660	Write in Exponential Form	1/(( square root of 2)^5)	$\frac{1}{{(\sqrt{2})}^{5}}$
238661	Find the LCM	lcm of 6 and 10	lcm of $6$ and $10$
238662	Solve for x	x^2-3(x+1)<=x-3x-3	$x^{2} - 3 (x + 1) \leq x - 3 x - 3$
238663	Solve for x	square root of cube root of x=2	$\sqrt{\sqrt[3]{x}} = 2$
238664	Simplify	(-5x^6)(2x^-4y)(-6x^-3y^4)	$(- 5 x^{6}) (2 x^{- 4} y) (- 6 x^{- 3} y^{4})$
238665	Find the x and y Intercepts	(x^2+y^2-6x)^2=36x^2+36y^2	${(x^{2} + y^{2} - 6 x)}^{2} = 36 x^{2} + 36 y^{2}$
238666	Solve for x	x^2+6=6	$x^{2} + 6 = 6$
238667	Evaluate	y=(1/5)^-3	$y = {(\frac{1}{5})}^{- 3}$
238668	Evaluate	(180(7-2))/7	$\frac{180 (7 - 2)}{7}$
238669	Solve for x	x=2y-4 7x+5y=-66	$x = 2 y - 4$ $7 x + 5 y = - 66$
238670	Simplify	x^-1y^4*2x^-2y^4	$x^{- 1} y^{4} \cdot 2 x^{- 2} y^{4}$
238671	Write in Exponential Form	cube root of 4+ sixth root of 4	$\sqrt[3]{4} + \sqrt[6]{4}$
238672	Factor	(9(t-4)^8(5t+8)^9-9(5t+8)^8*5(t-4)^9)/(((5t+8)^9)^2)	$\frac{9 {(t - 4)}^{8} {(5 t + 8)}^{9} - 9 {(5 t + 8)}^{8} \cdot 5 {(t - 4)}^{9}}{{({(5 t + 8)}^{9})}^{2}}$
238673	Find the Vertex Form	x^2+8x=y-1	$x^{2} + 8 x = y - 1$
238674	Solve for x	x^2+62=-16x	$x^{2} + 62 = - 16 x$
238675	Solve the Inequality for x	-4<2x+1<7	$- 4 < 2 x + 1 < 7$
238676	Simplify the Radical Expression	sixth root of y^5 cube root of y^5	$\sqrt[6]{y^{5}} \sqrt[3]{y^{5}}$
238677	Subtract	-3/5-(-4/15)	$- \frac{3}{5} - (- \frac{4}{15})$
238678	Graph Using a Table of Values	f(x)=-3^(x-5)+1	$f (x) = - 3^{x - 5} + 1$
238679	Solve the Absolute Value Inequality for x	3-\|x-10\|=-2	$3 - \| x - 10 \| = - 2$
238680	Graph	(sin(2x))/x	$\frac{\sin (2 x)}{x}$
238681	Write in Slope-Intercept Form	(2,-4) , slope=-3	$(2, - 4)$ , $s l o p e = - 3$
238682	Solve for x	3x-7y=4 x+7y=16	$3 x - 7 y = 4$ $x + 7 y = 16$
238683	Solve by Factoring	4x^2-64=8x-4	$4 x^{2} - 64 = 8 x - 4$
238684	Evaluate	1/3+1/6+1/12+1/24+1/48	$\frac{1}{3} + \frac{1}{6} + \frac{1}{12} + \frac{1}{24} + \frac{1}{48}$
238685	Simplify	(x/(x-1))/(x/(x-1)-1)	$\frac{\frac{x}{x - 1}}{\frac{x}{x - 1} - 1}$
238686	Simplify	sin(x)^2+csc(x)^2	$\sin^{2} (x) + \csc^{2} (x)$
238687	Simplify	-1/2+(-1/5)	$- \frac{1}{2} + (- \frac{1}{5})$
238688	Simplify	cube root of (-2a)^4	$\sqrt[3]{{(- 2 a)}^{4}}$
238689	Simplify	x/(2x-4)-5/(x+1)	$\frac{x}{2 x - 4} - \frac{5}{x + 1}$
238690	Find the End Behavior	f(x)=x^2+2x-5	$f (x) = x^{2} + 2 x - 5$
238691	Convert to Radical Form	6^(1/4)b^(3/4)c^(1/4)	$6^{\frac{1}{4}} b^{\frac{3}{4}} c^{\frac{1}{4}}$
238692	Graph	y=2x y=-3x+5	$y = 2 x$ $y = - 3 x + 5$
238693	Multiply	1x*x	$1 x \cdot x$
238694	Find the Parallel Line	(5,-2) that is parallel to the line 5x+6y=7	$(5, - 2)$ that is parallel to the line $5 x + 6 y = 7$
238695	Solve for x	1/4(x+3/5)=2/5	$\frac{1}{4} (x + \frac{3}{5}) = \frac{2}{5}$
238696	Simplify	( square root of 17)/-4	$\frac{\sqrt{17}}{- 4}$
238697	Simplify	4^(-7/4)*4^(-7/4)	$4^{- \frac{7}{4}} \cdot 4^{- \frac{7}{4}}$
238698	Simplify	((a^(3/8))/(a^(1/8)))^2	${(\frac{a^{\frac{3}{8}}}{a^{\frac{1}{8}}})}^{2}$
238699	Solve the System of Equations	5x+4y+3z=0 -5x-6y+10z=10 5x+3y+3z=5	$5 x + 4 y + 3 z = 0$ $- 5 x - 6 y + 10 z = 10$ $5 x + 3 y + 3 z = 5$
238700	Find the Exact Value	log base 25 of 1/5	$\log_{25} (\frac{1}{5})$