Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
212101	Divide	(8x^8-12x^6)/(-4x^8)	$\frac{8 x^{8} - 12 x^{6}}{- 4 x^{8}}$
212102	Simplify	(15x^3z^-5)/(25y^-4)	$\frac{15 x^{3} z^{- 5}}{25 y^{- 4}}$
212103	Factor	81^7-27^9-9^13	$81^{7} - 27^{9} - 9^{13}$
212104	Solve for n	the sum of a number and 5 is 12	the sum of a number and $5$ is $12$
212105	Solve for x	3=11-(4-6x)^(1/2)	$3 = 11 - {(4 - 6 x)}^{\frac{1}{2}}$
212106	Evaluate	sec((3pi)/4)^2-1	$\sec^{2} (\frac{3 π}{4}) - 1$
212107	Simplify	6 cube root of 11- square root of 11-4 square root of 11	$6 \sqrt[3]{11} - \sqrt{11} - 4 \sqrt{11}$
212108	Solve for x	(2x+3)^3-7=1	${(2 x + 3)}^{3} - 7 = 1$
212109	Find the Domain and Range	y=tan(x-pi/2)	$y = \tan (x - \frac{π}{2})$
212110	Simplify	3 square root of -25+4	$3 \sqrt{- 25} + 4$
212111	Solve for R	R=( sixth root of 25* fourth root of 25* cube root of 25)/(5* fifth root of 25*20 root of 25)	$R = \frac{\sqrt[6]{25} \cdot \sqrt[4]{25} \cdot \sqrt[3]{25}}{5 \cdot \sqrt[5]{25} \cdot \sqrt[20]{25}}$
212112	Solve for y	y/3=-7x	$\frac{y}{3} = - 7 x$
212113	Simplify	5 square root of 3a^2*4 square root of 25a^4	$5 \sqrt{3 a^{2}} \cdot 4 \sqrt{25 a^{4}}$
212114	Graph	\|x+y\|>=3	$\| x + y \| \geq 3$
212115	Simplify the Radical Expression	( sixth root of 4x)/( sixth root of 16x^5)	$\frac{\sqrt[6]{4 x}}{\sqrt[6]{16 x^{5}}}$
212116	Solve for a	4\|6-2a\|+8<=24	$4 \| 6 - 2 a \| + 8 \leq 24$
212117	Simplify	(2x)(3x^2)(x)	$(2 x) (3 x^{2}) (x)$
212118	Graph	graph y=-2	graph $y = - 2$
212119	Simplify	( square root of 10x^3y^11)/( square root of 10x^3y^2)	$\frac{\sqrt{10 x^{3} y^{11}}}{\sqrt{10 x^{3} y^{2}}}$
212120	Simplify	3^(9^(2^-1))	$3^{9^{2^{- 1}}}$
212121	Factor	y(a-b)-(a-b)	$y (a - b) - (a - b)$
212122	Simplify	((9x^2yz)/(5z^4))÷((12x^4y^2)/(50xy^4z^2))	$\frac{9 x^{2} y z}{5 z^{4}} \div \frac{12 x^{4} y^{2}}{50 x y^{4} z^{2}}$
212123	Simplify	square root of -4- square root of -5	$\sqrt{- 4} - \sqrt{- 5}$
212124	Solve for y	square root of y+(y+2) = square root of 6	$\sqrt{y + (y + 2)} = \sqrt{6}$
212125	Solve for x	(x-a)/b+(x-b)/a=2	$\frac{x - a}{b} + \frac{x - b}{a} = 2$
212126	Solve for x	7x+8(x+1/4)=3(6x-9)-8	$7 x + 8 (x + \frac{1}{4}) = 3 (6 x - 9) - 8$
212127	Evaluate	9+(7*(15+3))÷(3^2)	$9 + 7 \cdot (15 + 3) \div 3^{2}$
212128	Simplify	5x^4y^2 square root of 4/25x^20y^30	$5 x^{4} y^{2} \sqrt{\frac{4}{25}} x^{20} y^{30}$
212129	Solve for m	14=2+4m^2	$14 = 2 + 4 m^{2}$
212130	Solve for x	(1+3x)/(1-2x)=(5-3x)/(1+2x)	$\frac{1 + 3 x}{1 - 2 x} = \frac{5 - 3 x}{1 + 2 x}$
212131	Divide Using Long Polynomial Division	(x^3+2x^2-1)÷(x^2+x+1)	$(x^{3} + 2 x^{2} - 1) \div (x^{2} + x + 1)$
212132	Rationalize the Denominator	(3 square root of x^8)/( square root of 2)	$\frac{3 \sqrt{x^{8}}}{\sqrt{2}}$
212133	Evaluate	square root of x^2-5=x-2	$\sqrt{x^{2} - 5} = x - 2$
212134	Simplify	(x+2)/(x-6)-(x^2+5x+14)/(x^2-2x-24)	$\frac{x + 2}{x - 6} - \frac{x^{2} + 5 x + 14}{x^{2} - 2 x - 24}$
212135	Factor by Grouping	p(c-d)+c-d	$p (c - d) + c - d$
212136	Factor	(4x+3)^2-(2x-1)^2	${(4 x + 3)}^{2} - {(2 x - 1)}^{2}$
212137	Solve for x	cube root of 4x-9 = cube root of 2x-4	$\sqrt[3]{4 x - 9} = \sqrt[3]{2 x - 4}$
212138	Solve for x	8/7-(2x+4)/x=2/(7x)	$\frac{8}{7} - \frac{2 x + 4}{x} = \frac{2}{7 x}$
212139	Solve the Inequality for y	2(y-6)+13>15	$2 (y - 6) + 13 > 15$
212140	Simplify	(p+7)/(p-10)*(p+2)/(7p+14)	$\frac{p + 7}{p - 10} \cdot \frac{p + 2}{7 p + 14}$
212141	Graph	Graph x=-3	Graph $x = - 3$
212142	Simplify	(w^4y^-7p)(-y^5p^11)	$(w^{4} y^{- 7} p) (- y^{5} p^{11})$
212143	Simplify	cube root of x^2* square root of x^5	$\sqrt[3]{x^{2}} \cdot \sqrt{x^{5}}$
212144	Factor	6(x+6)^2(2x-5)^2-(x+6)(2x-5)^3	$6 {(x + 6)}^{2} {(2 x - 5)}^{2} - (x + 6) {(2 x - 5)}^{3}$
212145	Evaluate	(2^2)/(2^-8)*2^8	$\frac{2^{2}}{2^{- 8}} \cdot 2^{8}$
212146	Evaluate	((3-4i)/5)^-1	${(\frac{3 - 4 i}{5})}^{- 1}$
212147	Solve for x	2/(x+4)-1/x=2/(3x)	$\frac{2}{x + 4} - \frac{1}{x} = \frac{2}{3 x}$
212148	Graph Using a Table of Values	h(x)=x/2+5	$h (x) = \frac{x}{2} + 5$
212149	Factor	(a+b+c)x+(a+b+c)y	$(a + b + c) x + (a + b + c) y$
212150	Simplify	4x^(3/2)(x^3+x^2)-6x^(5/2)-6x^(3/2)	$4 x^{\frac{3}{2}} (x^{3} + x^{2}) - 6 x^{\frac{5}{2}} - 6 x^{\frac{3}{2}}$
212151	Simplify	( cube root of 1/5)^3	${(\sqrt[3]{\frac{1}{5}})}^{3}$
212152	Find the x and y Intercepts	f(X)=-5x^7+5x^3	$f (X) = - 5 x^{7} + 5 x^{3}$
212153	Simplify	(5x)/(x+8)+(4x-9)/(x^2+5x-24)	$\frac{5 x}{x + 8} + \frac{4 x - 9}{x^{2} + 5 x - 24}$
212154	Evaluate	(64^(2/3))/(343^(2/3))	$\frac{64^{\frac{2}{3}}}{343^{\frac{2}{3}}}$
212155	Rationalize the Denominator	( square root of 5- square root of 3)/( square root of 3)	$\frac{\sqrt{5} - \sqrt{3}}{\sqrt{3}}$
212156	Simplify	(12x^2y)/(3x^2)	$\frac{12 x^{2} y}{3 x^{2}}$
212157	Simplify	10w+3d+3w+d	$10 w + 3 d + 3 w + d$
212158	Combine Like Terms	2(3/4n+8+1/4n-12)	$2 (\frac{3}{4} n + 8 + \frac{1}{4} n - 12)$
212159	Solve by Factoring	6x^2-2x=x	$6 x^{2} - 2 x = x$
212160	Simplify	((2x)/3)^-3	${(\frac{2 x}{3})}^{- 3}$
212161	Solve the System of Equations	y=1/2x-3 y=3/2x-1	$y = \frac{1}{2} x - 3$ $y = \frac{3}{2} x - 1$
212162	Simplify	square root of x( square root of 5- square root of x)	$\sqrt{x} (\sqrt{5} - \sqrt{x})$
212163	Evaluate	(4/x)^-3	${(\frac{4}{x})}^{- 3}$
212164	Write with Rational (Fractional) Exponents	( square root of x^5y^4)/(y^2 fifth root of z^10)	$\frac{\sqrt{x^{5}} y^{4}}{y^{2} \sqrt[5]{z^{10}}}$
212165	Factor	18x^3y^2-8x^2y^4+20xy^3	$18 x^{3} y^{2} - 8 x^{2} y^{4} + 20 x y^{3}$
212166	Simplify	4(48^(1/4))-3*3^(1/4)	$4 (48^{\frac{1}{4}}) - 3 \cdot 3^{\frac{1}{4}}$
212167	Graph	sin(theta)>0 , cot(theta)<0	$\sin (θ) > 0$ , $\cot (θ) < 0$
212168	Graph	f(x)=sin(4/3)(x+(3pi)/2)+2	$f (x) = \sin (\frac{4}{3}) (x + \frac{3 π}{2}) + 2$
212169	Solve the Inequality for n	(n/3)>-20	$(\frac{n}{3}) > - 20$
212170	Write the Fraction in Simplest Form	((4n)^2)/(-4n^-5)	$\frac{{(4 n)}^{2}}{- 4 n^{- 5}}$
212171	Simplify	plus or minus square root of 121x^4y^16	$\pm \sqrt{121 x^{4} y^{16}}$
212172	Simplify	(5^6)/((5^0)^-4)	$\frac{5^{6}}{{(5^{0})}^{- 4}}$
212173	Solve the System of Equations	y=x+2 y=x+4	$y = x + 2$ $y = x + 4$
212174	Solve for x	Solve ( square root of 6)^(8x)=216^(x-3)	Solve ${(\sqrt{6})}^{8 x} = 216^{x - 3}$
212175	Simplify	(( square root of 5-2i)/2)(( square root of 5+2i)/2)	$(\frac{\sqrt{5} - 2 i}{2}) (\frac{\sqrt{5} + 2 i}{2})$
212176	Simplify the Radical Expression	3 cube root of 108	$3 \sqrt[3]{108}$
212177	Solve the Inequality for a	-3.6>=-0.3a+1.2	$- 3.6 \geq - 0.3 a + 1.2$
212178	Find the Roots (Zeros)	square root of 2x+7=3	$\sqrt{2 x + 7} = 3$
212179	Solve for t	x=sin(3t)	$x = \sin (3 t)$
212180	Graph	y=1/2x^4-3/2x^3	$y = \frac{1}{2} x^{4} - \frac{3}{2} x^{3}$
212181	Solve for x	(13x-1)^2-2(13x-1)-3=0	${(13 x - 1)}^{2} - 2 (13 x - 1) - 3 = 0$
212182	Simplify	square root of 14xy* square root of 12* square root of 30y	$\sqrt{14 x y} \cdot \sqrt{12} \cdot \sqrt{30 y}$
212183	Find the Degree	f(x)=2(x-3)	$f (x) = 2 (x - 3)$
212184	Solve by Factoring	4x^5-100x^(13/3)=0	$4 x^{5} - 100 x^{\frac{13}{3}} = 0$
212185	Solve for x	(x-1)^(2/3)=(x+5)^(1/3)	${(x - 1)}^{\frac{2}{3}} = {(x + 5)}^{\frac{1}{3}}$
212186	Solve for t	9t^6-14t^3+4t-1=0	$9 t^{6} - 14 t^{3} + 4 t - 1 = 0$
212187	Find the First Term	a_n=72(1/3)^(n-1)	$a_{n} = 72 {(\frac{1}{3})}^{n - 1}$
212188	Simplify	(5x^2+2x^5+10x^5)(6x^5+2x^5-8x^5)	$(5 x^{2} + 2 x^{5} + 10 x^{5}) (6 x^{5} + 2 x^{5} - 8 x^{5})$
212189	Simplify	-1/( square root of 1-(-1)^2)	$\frac{- 1}{\sqrt{1 - {(- 1)}^{2}}}$
212190	Evaluate	sec(330 degrees )	$\sec (330 °)$
212191	Find the x and y Intercepts	(x-2)(x+3)	$(x - 2) (x + 3)$
212192	Simplify the Radical Expression	((16m^9n^3)/(2^6))^(1/3)	${(\frac{16 m^{9} n^{3}}{2^{6}})}^{\frac{1}{3}}$
212193	Find the Equation Given the Roots	2+3i and square root of 7	$2 + 3 i$ and $\sqrt{7}$
212194	Solve the Inequality for y	11>-3y+2	$11 > - 3 y + 2$
212195	Simplify the Radical Expression	square root of x^2+10x+25	$\sqrt{x^{2} + 10 x + 25}$
212196	Simplify	(y^4*2xy)^3	${(y^{4} \cdot 2 x y)}^{3}$
212197	Simplify	(x-3)/(x+7)*(2x)/(x-3)	$\frac{x - 3}{x + 7} \cdot \frac{2 x}{x - 3}$
212198	Graph	-4<=4x+8	$- 4 \leq 4 x + 8$
212199	Find the LCD	(4x+12)/(x^2+5x+6) and (5x+15)/(10x+20)	$\frac{4 x + 12}{x^{2} + 5 x + 6}$ and $\frac{5 x + 15}{10 x + 20}$
212200	Evaluate	4+((6^2)÷(1/4))*3	$4 + (6^{2} \div \frac{1}{4}) \cdot 3$