Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
227001	Simplify	3 1/9p+5-1/3p	$3 \frac{1}{9} p + 5 - \frac{1}{3} p$
227002	Simplify	(2/3)^-1((3a)/(2b))^-2	${(\frac{2}{3})}^{- 1} {(\frac{3 a}{2 b})}^{- 2}$
227003	Find the Holes in the Graph	f(x)=(x^2+6x+9)/(x^2-9)	$f (x) = \frac{x^{2} + 6 x + 9}{x^{2} - 9}$
227004	Find All Complex Solutions	sin(x)^3=sin(x)	$\sin^{3} (x) = \sin (x)$
227005	Solve the Inequality for x	(x-2)/7-(x+3)/3<=(5x)/21	$\frac{x - 2}{7} - \frac{x + 3}{3} \leq \frac{5 x}{21}$
227006	Solve the Inequality for w	37<7-10w	$37 < 7 - 10 w$
227007	Simplify	square root of 6a^2b^4c* square root of 3a^6b^2c	$\sqrt{6 a^{2} b^{4} c} \cdot \sqrt{3 a^{6} b^{2} c}$
227008	Write in Standard Form	x^2-x^3+x^4-5	$x^{2} - x^{3} + x^{4} - 5$
227009	Write the Fraction in Simplest Form	(2h^7v^-3)/((5h^-4v^5)^-5)	$\frac{2 h^{7} v^{- 3}}{{(5 h^{- 4} v^{5})}^{- 5}}$
227010	Evaluate	1/2(8)^-2	$\frac{1}{2} {(8)}^{- 2}$
227011	Solve for y₂	13^2=144+y_2^2-12y_2+36	$13^{2} = 144 + {y_{2}}^{2} - 12 y_{2} + 36$
227012	Solve for m	square root of (9m)/2-6=0	$\sqrt{\frac{9 m}{2}} - 6 = 0$
227013	Find the Roots (Zeros)	x^3+x^2-6x=0	$x^{3} + x^{2} - 6 x = 0$
227014	Simplify	((15x-10)/(x-8))/((3x-2)/(x^2-12x+32))	$\frac{\frac{15 x - 10}{x - 8}}{\frac{3 x - 2}{x^{2} - 12 x + 32}}$
227015	Simplify	((k^-2y^3)/(y^-1))^0	${(\frac{k^{- 2} y^{3}}{y^{- 1}})}^{0}$
227016	Write the Fraction in Simplest Form	(4^(2x+1)*2^(1-x))/(8^(x+2))	$\frac{4^{2 x + 1} \cdot 2^{1 - x}}{8^{x + 2}}$
227017	Solve for a	4^(a^2)=16^(2a)*64^(2-a)	$4^{a^{2}} = 16^{2 a} \cdot 64^{2 - a}$
227018	Solve the Inequality for x	x^3+2x^2-4x-8<=0	$x^{3} + 2 x^{2} - 4 x - 8 \leq 0$
227019	Solve for z	4a=4b-9z	$4 a = 4 b - 9 z$
227020	Graph	f(x)=\|\|x\|\|	$f (x) = \| \| x \| \|$
227021	Find the Exact Value	(tan(pi/4))/2+1/(sec(pi/3))	$\frac{\tan (\frac{π}{4})}{2} + \frac{1}{\sec (\frac{π}{3})}$
227022	Describe the Transformation	g(x)=-3/4f(x)	$g (x) = - \frac{3}{4} f (x)$
227023	Simplify	(7^(1/5))/(7^(3/5))	$\frac{7^{\frac{1}{5}}}{7^{\frac{3}{5}}}$
227024	Write in Standard Form	-23x^7+x^9-6x^3+10+2x^2	$- 23 x^{7} + x^{9} - 6 x^{3} + 10 + 2 x^{2}$
227025	Simplify	((1/64)^(1/3))^-4	${({(\frac{1}{64})}^{\frac{1}{3}})}^{- 4}$
227026	Solve for r	(2/3)^(r-8)=7/4	${(\frac{2}{3})}^{r - 8} = \frac{7}{4}$
227027	Evaluate	fourth root of (k^16)/(16z^4)	$\sqrt[4]{\frac{k^{16}}{16 z^{4}}}$
227028	Simplify	(7z-28)/(8-2z)	$\frac{7 z - 28}{8 - 2 z}$
227029	Find the Inverse	f(x)=(6 cube root of x+1)/5	$f (x) = \frac{6 \sqrt[3]{x} + 1}{5}$
227030	Simplify	y^(-3/2)*y^-1	$y^{- \frac{3}{2}} \cdot y^{- 1}$
227031	Factor by Grouping	x^6y^3+y^9	$x^{6} y^{3} + y^{9}$
227032	Simplify	x^-2y^-1 cube root of 125x^4y^5	$x^{- 2} y^{- 1} \sqrt[3]{125 x^{4} y^{5}}$
227033	Simplify	(5s^3+7s^2+3)+(7s^3-5s^2)	$(5 s^{3} + 7 s^{2} + 3) + (7 s^{3} - 5 s^{2})$
227034	Subtract	(-10x^2-1)+(-8x^2+8x-8)	$(- 10 x^{2} - 1) + (- 8 x^{2} + 8 x - 8)$
227035	Simplify	(8x^2)/(1/(x^2))	$\frac{8 x^{2}}{\frac{1}{x^{2}}}$
227036	Simplify	square root of 8y+5 square root of 50y-2 square root of 18y	$\sqrt{8 y + 5 \sqrt{50 y - 2 \sqrt{18 y}}}$
227037	Simplify	(c^3)/( square root of 18c^4)	$\frac{c^{3}}{\sqrt{18 c^{4}}}$
227038	Find the x and y Intercepts	(x^2+y^2-7x)^2=49x^2+49y^2	${(x^{2} + y^{2} - 7 x)}^{2} = 49 x^{2} + 49 y^{2}$
227039	Simplify	(x^4)/(3x^(1/2))	$\frac{x^{4}}{3 x^{\frac{1}{2}}}$
227040	Solve for x	3+\|x+4\|=0	$3 + \| x + 4 \| = 0$
227041	Evaluate	(((3)(4)^3+3)-((3)(2)^3+3))/(4-2)	$\frac{((3) {(4)}^{3} + 3) - ((3) {(2)}^{3} + 3)}{4 - 2}$
227042	Solve the System of Equations	4x+8y=4 and -2x-7y=-11	$4 x + 8 y = 4$ and $- 2 x - 7 y = - 11$
227043	Evaluate	10% of 200	$10 %$ of $200$
227044	Simplify	(1/3x-5/6y)(-1/2x+3/5y)	$(\frac{1}{3} x - \frac{5}{6} y) (- \frac{1}{2} x + \frac{3}{5} y)$
227045	Solve the Inequality for x	\|x+14\|+3>17	$\| x + 14 \| + 3 > 17$
227046	Divide Using Long Polynomial Division	(10x^3+5x^2-1)÷(2x^3-4x^2-x+2)	$(10 x^{3} + 5 x^{2} - 1) \div (2 x^{3} - 4 x^{2} - x + 2)$
227047	Evaluate	(f(4+2)-f(4))/2	$\frac{f (4 + 2) - f (4)}{2}$
227048	Simplify	(6m)/( square root of 6m^5)	$\frac{6 m}{\sqrt{6 m^{5}}}$
227049	Solve the Rational Equation for x	x^3=125	$x^{3} = 125$
227050	Factor by Grouping	-x^3+y^3	$- x^{3} + y^{3}$
227051	Simplify	sin(120 degrees )	$\sin (120 °)$
227052	Factor	xy(x-y)+x^3-y^3	$x y (x - y) + x^{3} - y^{3}$
227053	Simplify	sin(2x)*sin(2x)	$\sin (2 x) \cdot \sin (2 x)$
227054	Simplify the Radical Expression	11/( fourth root of 11)	$\frac{11}{\sqrt[4]{11}}$
227055	Evaluate	cot(-x)cos(-x)+sin(-x)	$\cot (- x) \cos (- x) + \sin (- x)$
227056	Simplify	(ab+c)(b^2)(a)	$(a b + c) (b^{2}) (a)$
227057	Simplify the Radical Expression	-3 cube root of 162k^4+7k cube root of 48k	$- 3 \sqrt[3]{162 k^{4}} + 7 k \sqrt[3]{48 k}$
227058	Divide Using Long Polynomial Division	Use the long division method to find the result when 6x^3-5x^2+22x-7 is divided by 3x-1	Use the long division method to find the result when $6 x^{3} - 5 x^{2} + 22 x - 7$ is divided by $3 x - 1$
227059	Simplify	square root of (48m^2)/(3m^3)	$\sqrt{\frac{48 m^{2}}{3 m^{3}}}$
227060	Solve for x	5+4x>=2x+3	$5 + 4 x \geq 2 x + 3$
227061	Solve for m	(8m-1)(m-4)=0	$(8 m - 1) (m - 4) = 0$
227062	Simplify	( cube root of 16z^6)( cube root of 6z)	$(\sqrt[3]{16 z^{6}}) (\sqrt[3]{6 z})$
227063	Evaluate	1/36=6^(x-3)	$\frac{1}{36} = 6^{x - 3}$
227064	Solve for x	y=- log of a*x	$y = - \log (a \cdot x)$
227065	Simplify	(x^(1/3))/(x^(-2/3))	$\frac{x^{\frac{1}{3}}}{x^{- \frac{2}{3}}}$
227066	Evaluate	-65y+19<-2y+41	$- 65 y + 19 < - 2 y + 41$
227067	Simplify	(p^(-3/4)q^3)^(1/3)	${(p^{- \frac{3}{4}} q^{3})}^{\frac{1}{3}}$
227068	Evaluate	(-11-6--5+1+3*2)÷(-5)	$(- 11 - 6 - - 5 + 1 + 3 \times 2) \div (- 5)$
227069	Find the x and y Intercepts	f(x)=x^(1/5)	$f (x) = x^{\frac{1}{5}}$
227070	Factor by Grouping	48x^2y^2+9+64x^4y^4	$48 x^{2} y^{2} + 9 + 64 x^{4} y^{4}$
227071	Simplify	sixth root of 16x^6	$\sqrt[6]{16 x^{6}}$
227072	Find the x and y Intercepts	f(x)=- square root of x^3+8	$f (x) = - \sqrt{x^{3} + 8}$
227073	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (3,-2) and has a slope of -2 ?	What is the equation of the line that passes through the point $(3, - 2)$ and has a slope of $- 2$ ?
227074	Find F(G(X))	F(X)=10X , G(X)=X+3	$F (X) = 10 X$ , $G (X) = X + 3$
227075	Simplify	(b-c)/(a+b)-(ab-b^2)/(a^2-ac)*(a^2-c^2)/(a^2-b^2)	$\frac{(b - c)}{a + b} - \frac{(a b - b^{2})}{a^{2} - a c} \cdot \frac{(a^{2} - c^{2})}{a^{2} - b^{2}}$
227076	Solve for x	square root of 3x+6+2<=5	$\sqrt{3 x + 6} + 2 \leq 5$
227077	Solve for x	square root of 9x-28 = square root of 5x	$\sqrt{9 x - 28} = \sqrt{5 x}$
227078	Simplify	(3 square root of 2)/(2 square root of 3)-2 square root of 6	$\frac{3 \sqrt{2}}{2 \sqrt{3}} - 2 \sqrt{6}$
227079	Solve for x	x+5/6=2/3	$x + \frac{5}{6} = \frac{2}{3}$
227080	Find the Degree, Leading Term, and Leading Coefficient	f(x)=2x^5-x^2-9x^3+9	$f (x) = 2 x^{5} - x^{2} - 9 x^{3} + 9$
227081	Solve the Inequality for x	4x^2-3x-11>=-3x-10	$4 x^{2} - 3 x - 11 \geq - 3 x - 10$
227082	Divide	( square root of x+1)/( square root of x-1)	$\frac{\sqrt{x} + 1}{\sqrt{x} - 1}$
227083	Evaluate	square root of 3^5* cube root of 3	$\sqrt{3^{5}} \cdot \sqrt[3]{3}$
227084	Write in Standard Form	-3x^5y^2+4x^3y+10x^2	$- 3 x^{5} y^{2} + 4 x^{3} y + 10 x^{2}$
227085	Write in Exponential Form	2n root of x^(6n)	$\sqrt[2 n]{x^{6 n}}$
227086	Expand the Logarithmic Expression	log base 2 of 8/((xy)^2)	$\log_{2} (\frac{8}{{(x y)}^{2}})$
227087	Divide	(28m^2-11m-30m^2)/(4m-5)	$\frac{28 m^{2} - 11 m - 30 m^{2}}{4 m - 5}$
227088	Evaluate	l=54 square root of d^3	$l = 54 \sqrt{d^{3}}$
227089	Graph	y=3-1/2 square root of 6-x	$y = 3 - \frac{1}{2} \sqrt{6 - x}$
227090	Simplify	((6-x)/(x^2-x-30)*(x^2-100)/(2x^2-200))÷((x+10)/(x+5))	$\frac{6 - x}{x^{2} - x - 30} \cdot \frac{x^{2} - 100}{2 x^{2} - 200} \div \frac{x + 10}{x + 5}$
227091	Solve for x	(2x+1)/2+x/3=5/6	$\frac{2 x + 1}{2} + \frac{x}{3} = \frac{5}{6}$
227092	Simplify	((x^2-1)/(6(x+9)))÷((x+1)/(6(x^2-81)))	$\frac{x^{2} - 1}{6 (x + 9)} \div \frac{x + 1}{6 (x^{2} - 81)}$
227093	Find the Roots (Zeros)	f(x)=x(x-2)(x+1)^2	$f (x) = x (x - 2) {(x + 1)}^{2}$
227094	Solve the Rational Equation for x	square root of 5x+4+6=4	$\sqrt{5 x + 4 + 6} = 4$
227095	Find the Leading Term	y=-(x+3)(x+1)^2(2x-5)	$y = - (x + 3) {(x + 1)}^{2} (2 x - 5)$
227096	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (3,2) and has a slope of -5/3 ?	What is the equation of the line that passes through the point $(3, 2)$ and has a slope of $- \frac{5}{3}$ ?
227097	Simplify the Radical Expression	square root of 48x^2y^5z	$\sqrt{48 x^{2} y^{5} z}$
227098	Simplify	3^(-1/4)*27^(-1/4)	$3^{- \frac{1}{4}} \cdot 27^{- \frac{1}{4}}$
227099	Find the Inverse	y=4/3(x-1)^3+6	$y = \frac{4}{3} {(x - 1)}^{3} + 6$
227100	Solve the Inequality for d	d/-3<=-6	$\frac{d}{- 3} \leq - 6$