Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
227001	Solve for a	4^(a^2)=16^(2a)*64^(2-a)	$4^{a^{2}} = 16^{2 a} \cdot 64^{2 - a}$
227002	Solve the Inequality for x	x^3+2x^2-4x-8<=0	$x^{3} + 2 x^{2} - 4 x - 8 \leq 0$
227003	Solve for z	4a=4b-9z	$4 a = 4 b - 9 z$
227004	Graph	f(x)=\|\|x\|\|	$f (x) = \| \| x \| \|$
227005	Find the Exact Value	(tan(pi/4))/2+1/(sec(pi/3))	$\frac{\tan (\frac{π}{4})}{2} + \frac{1}{\sec (\frac{π}{3})}$
227006	Describe the Transformation	g(x)=-3/4f(x)	$g (x) = - \frac{3}{4} f (x)$
227007	Simplify	(7^(1/5))/(7^(3/5))	$\frac{7^{\frac{1}{5}}}{7^{\frac{3}{5}}}$
227008	Write in Standard Form	-23x^7+x^9-6x^3+10+2x^2	$- 23 x^{7} + x^{9} - 6 x^{3} + 10 + 2 x^{2}$
227009	Simplify	((1/64)^(1/3))^-4	${({(\frac{1}{64})}^{\frac{1}{3}})}^{- 4}$
227010	Solve for r	(2/3)^(r-8)=7/4	${(\frac{2}{3})}^{r - 8} = \frac{7}{4}$
227011	Evaluate	fourth root of (k^16)/(16z^4)	$\sqrt[4]{\frac{k^{16}}{16 z^{4}}}$
227012	Simplify	(7z-28)/(8-2z)	$\frac{7 z - 28}{8 - 2 z}$
227013	Find the Inverse	f(x)=(6 cube root of x+1)/5	$f (x) = \frac{6 \sqrt[3]{x} + 1}{5}$
227014	Simplify	y^(-3/2)*y^-1	$y^{- \frac{3}{2}} \cdot y^{- 1}$
227015	Factor by Grouping	x^6y^3+y^9	$x^{6} y^{3} + y^{9}$
227016	Simplify	x^-2y^-1 cube root of 125x^4y^5	$x^{- 2} y^{- 1} \sqrt[3]{125 x^{4} y^{5}}$
227017	Simplify	(5s^3+7s^2+3)+(7s^3-5s^2)	$(5 s^{3} + 7 s^{2} + 3) + (7 s^{3} - 5 s^{2})$
227018	Subtract	(-10x^2-1)+(-8x^2+8x-8)	$(- 10 x^{2} - 1) + (- 8 x^{2} + 8 x - 8)$
227019	Simplify	(8x^2)/(1/(x^2))	$\frac{8 x^{2}}{\frac{1}{x^{2}}}$
227020	Simplify	square root of 8y+5 square root of 50y-2 square root of 18y	$\sqrt{8 y + 5 \sqrt{50 y - 2 \sqrt{18 y}}}$
227021	Simplify	(c^3)/( square root of 18c^4)	$\frac{c^{3}}{\sqrt{18 c^{4}}}$
227022	Find the x and y Intercepts	(x^2+y^2-7x)^2=49x^2+49y^2	${(x^{2} + y^{2} - 7 x)}^{2} = 49 x^{2} + 49 y^{2}$
227023	Simplify	(x^4)/(3x^(1/2))	$\frac{x^{4}}{3 x^{\frac{1}{2}}}$
227024	Solve for x	3+\|x+4\|=0	$3 + \| x + 4 \| = 0$
227025	Evaluate	(((3)(4)^3+3)-((3)(2)^3+3))/(4-2)	$\frac{((3) {(4)}^{3} + 3) - ((3) {(2)}^{3} + 3)}{4 - 2}$
227026	Solve the System of Equations	4x+8y=4 and -2x-7y=-11	$4 x + 8 y = 4$ and $- 2 x - 7 y = - 11$
227027	Evaluate	10% of 200	$10 %$ of $200$
227028	Simplify	(1/3x-5/6y)(-1/2x+3/5y)	$(\frac{1}{3} x - \frac{5}{6} y) (- \frac{1}{2} x + \frac{3}{5} y)$
227029	Solve the Inequality for x	\|x+14\|+3>17	$\| x + 14 \| + 3 > 17$
227030	Divide Using Long Polynomial Division	(10x^3+5x^2-1)÷(2x^3-4x^2-x+2)	$(10 x^{3} + 5 x^{2} - 1) \div (2 x^{3} - 4 x^{2} - x + 2)$
227031	Evaluate	(f(4+2)-f(4))/2	$\frac{f (4 + 2) - f (4)}{2}$
227032	Simplify	(6m)/( square root of 6m^5)	$\frac{6 m}{\sqrt{6 m^{5}}}$
227033	Solve the Rational Equation for x	x^3=125	$x^{3} = 125$
227034	Factor by Grouping	-x^3+y^3	$- x^{3} + y^{3}$
227035	Simplify	sin(120 degrees )	$\sin (120 °)$
227036	Factor	xy(x-y)+x^3-y^3	$x y (x - y) + x^{3} - y^{3}$
227037	Simplify	sin(2x)*sin(2x)	$\sin (2 x) \cdot \sin (2 x)$
227038	Simplify the Radical Expression	11/( fourth root of 11)	$\frac{11}{\sqrt[4]{11}}$
227039	Evaluate	cot(-x)cos(-x)+sin(-x)	$\cot (- x) \cos (- x) + \sin (- x)$
227040	Simplify	(ab+c)(b^2)(a)	$(a b + c) (b^{2}) (a)$
227041	Simplify the Radical Expression	-3 cube root of 162k^4+7k cube root of 48k	$- 3 \sqrt[3]{162 k^{4}} + 7 k \sqrt[3]{48 k}$
227042	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 $3 x - 1$
227043	Simplify	square root of (48m^2)/(3m^3)	$\sqrt{\frac{48 m^{2}}{3 m^{3}}}$
227044	Solve for x	5+4x>=2x+3	$5 + 4 x \geq 2 x + 3$
227045	Solve for m	(8m-1)(m-4)=0	$(8 m - 1) (m - 4) = 0$
227046	Simplify	( cube root of 16z^6)( cube root of 6z)	$(\sqrt[3]{16 z^{6}}) (\sqrt[3]{6 z})$
227047	Evaluate	1/36=6^(x-3)	$\frac{1}{36} = 6^{x - 3}$
227048	Solve for x	y=- log of a*x	$y = - \log (a \cdot x)$
227049	Simplify	(x^(1/3))/(x^(-2/3))	$\frac{x^{\frac{1}{3}}}{x^{- \frac{2}{3}}}$
227050	Evaluate	-65y+19<-2y+41	$- 65 y + 19 < - 2 y + 41$
227051	Simplify	(p^(-3/4)q^3)^(1/3)	${(p^{- \frac{3}{4}} q^{3})}^{\frac{1}{3}}$
227052	Evaluate	(-11-6--5+1+3*2)÷(-5)	$(- 11 - 6 - - 5 + 1 + 3 \times 2) \div (- 5)$
227053	Find the x and y Intercepts	f(x)=x^(1/5)	$f (x) = x^{\frac{1}{5}}$
227054	Factor by Grouping	48x^2y^2+9+64x^4y^4	$48 x^{2} y^{2} + 9 + 64 x^{4} y^{4}$
227055	Simplify	sixth root of 16x^6	$\sqrt[6]{16 x^{6}}$
227056	Find the x and y Intercepts	f(x)=- square root of x^3+8	$f (x) = - \sqrt{x^{3} + 8}$
227057	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 $- 2$ ?
227058	Find F(G(X))	F(X)=10X , G(X)=X+3	$F (X) = 10 X$ , $G (X) = X + 3$
227059	Simplify	(b-c)/(a+b)-(ab-b^2)/(a^2-ac)*(a^2-c^2)/(a^2-b^2)	$\frac{(b - c)}{a + b} - \frac{(a b - b^{2})}{a^{2} - a c} \cdot \frac{(a^{2} - c^{2})}{a^{2} - b^{2}}$
227060	Solve for x	square root of 3x+6+2<=5	$\sqrt{3 x + 6} + 2 \leq 5$
227061	Solve for x	square root of 9x-28 = square root of 5x	$\sqrt{9 x - 28} = \sqrt{5 x}$
227062	Simplify	(3 square root of 2)/(2 square root of 3)-2 square root of 6	$\frac{3 \sqrt{2}}{2 \sqrt{3}} - 2 \sqrt{6}$
227063	Solve for x	x+5/6=2/3	$x + \frac{5}{6} = \frac{2}{3}$
227064	Find the Degree, Leading Term, and Leading Coefficient	f(x)=2x^5-x^2-9x^3+9	$f (x) = 2 x^{5} - x^{2} - 9 x^{3} + 9$
227065	Solve the Inequality for x	4x^2-3x-11>=-3x-10	$4 x^{2} - 3 x - 11 \geq - 3 x - 10$
227066	Divide	( square root of x+1)/( square root of x-1)	$\frac{\sqrt{x} + 1}{\sqrt{x} - 1}$
227067	Evaluate	square root of 3^5* cube root of 3	$\sqrt{3^{5}} \cdot \sqrt[3]{3}$
227068	Write in Standard Form	-3x^5y^2+4x^3y+10x^2	$- 3 x^{5} y^{2} + 4 x^{3} y + 10 x^{2}$
227069	Write in Exponential Form	2n root of x^(6n)	$\sqrt[2 n]{x^{6 n}}$
227070	Expand the Logarithmic Expression	log base 2 of 8/((xy)^2)	$\log_{2} (\frac{8}{{(x y)}^{2}})$
227071	Divide	(28m^2-11m-30m^2)/(4m-5)	$\frac{28 m^{2} - 11 m - 30 m^{2}}{4 m - 5}$
227072	Evaluate	l=54 square root of d^3	$l = 54 \sqrt{d^{3}}$
227073	Graph	y=3-1/2 square root of 6-x	$y = 3 - \frac{1}{2} \sqrt{6 - x}$
227074	Simplify	((6-x)/(x^2-x-30)*(x^2-100)/(2x^2-200))÷((x+10)/(x+5))	$\frac{6 - x}{x^{2} - x - 30} \cdot \frac{x^{2} - 100}{2 x^{2} - 200} \div \frac{x + 10}{x + 5}$
227075	Solve for x	(2x+1)/2+x/3=5/6	$\frac{2 x + 1}{2} + \frac{x}{3} = \frac{5}{6}$
227076	Simplify	((x^2-1)/(6(x+9)))÷((x+1)/(6(x^2-81)))	$\frac{x^{2} - 1}{6 (x + 9)} \div \frac{x + 1}{6 (x^{2} - 81)}$
227077	Find the Roots (Zeros)	f(x)=x(x-2)(x+1)^2	$f (x) = x (x - 2) {(x + 1)}^{2}$
227078	Solve the Rational Equation for x	square root of 5x+4+6=4	$\sqrt{5 x + 4 + 6} = 4$
227079	Find the Leading Term	y=-(x+3)(x+1)^2(2x-5)	$y = - (x + 3) {(x + 1)}^{2} (2 x - 5)$
227080	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 $- \frac{5}{3}$ ?
227081	Simplify the Radical Expression	square root of 48x^2y^5z	$\sqrt{48 x^{2} y^{5} z}$
227082	Simplify	3^(-1/4)*27^(-1/4)	$3^{- \frac{1}{4}} \cdot 27^{- \frac{1}{4}}$
227083	Find the Inverse	y=4/3(x-1)^3+6	$y = \frac{4}{3} {(x - 1)}^{3} + 6$
227084	Solve the Inequality for d	d/-3<=-6	$\frac{d}{- 3} \leq - 6$
227085	Simplify	x/(3x-2)+3/(x-5)	$\frac{x}{3 x - 2} + \frac{3}{x - 5}$
227086	Simplify	((4x^4z^6)/(yz))^5	${(\frac{4 x^{4} z^{6}}{y z})}^{5}$
227087	Solve for x	(2x-5)/(x+5)-4=0	$\frac{2 x - 5}{x + 5} - 4 = 0$
227088	Solve for x	4x^3=2x-2	$4 x^{3} = 2 x - 2$
227089	Solve the System of Equations	3x+2y=22 and 2x+y=14.25	$3 x + 2 y = 22$ and $2 x + y = 14.25$
227090	Solve the Inequality for x	log of x+ log of 2-x<1	$\log (x) + \log (2 - x) < 1$
227091	Subtract	(2x)/5-(7x)/9	$\frac{2 x}{5} - \frac{7 x}{9}$
227092	Solve for z	x=(-2y+z)/3	$x = \frac{- 2 y + z}{3}$
227093	Solve for x	x^2-2/x=0	$x^{2} - \frac{2}{x} = 0$
227094	Solve for t	7(t+3)-2=5(t-2)+5	$7 (t + 3) - 2 = 5 (t - 2) + 5$
227095	Evaluate	(k^3-7k+2)-(k^2-12)	$(k^{3} - 7 k + 2) - (k^{2} - 12)$
227096	Simplify	1/(csc(x)^2-1)	$\frac{1}{\csc^{2} (x) - 1}$
227097	Solve for x	3^x81^5001=9^(2x)27^(2x+602)	$3^{x} \cdot 81^{5001} = 9^{2 x} \cdot 27^{2 x + 602}$
227098	Solve the Inequality for p	-2p+12>8	$- 2 p + 12 > 8$
227099	Simplify the Radical Expression	3x square root of 200x^3	$3 x \sqrt{200 x^{3}}$
227100	Simplify	square root of 75x^7 square root of 75x^7	$\sqrt{75 x^{7}} \sqrt{75 x^{7}}$