Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
211601	Evaluate	(5a^(3n))^3	${(5 a^{3 n})}^{3}$
211602	Simplify	1/3(4(x+9)+5x)	$\frac{1}{3} (4 (x + 9) + 5 x)$
211603	Divide	( fourth root of 32)/( fourth root of 2)	$\frac{\sqrt[4]{32}}{\sqrt[4]{2}}$
211604	Find the Inverse	f(x)=x/(1-x)	$f (x) = \frac{x}{1 - x}$
211605	Simplify	9^69^-49^-2	$9^{6} \cdot 9^{- 4} \cdot 9^{- 2}$
211606	Evaluate	sec(x)-tan(x)sin(x)=1/(sec(x))	$\sec (x) - \tan (x) \sin (x) = \frac{1}{\sec (x)}$
211607	Solve for x	square root of 2x^2-7=5	$\sqrt{2 x^{2} - 7} = 5$
211608	Find the Exact Value	sin((11pi)/6)+cos((5pi)/3)	$\sin (\frac{11 π}{6}) + \cos (\frac{5 π}{3})$
211609	Find the Exact Value	cot(285 degrees )	$\cot (285 °)$
211610	Graph	f(x)=-x^2+8 if x<0; -3x+7 if 0<=x<4; square root of x-4+1 if 4<=x	$f (x) = {\begin{cases} - x^{2} + 8 & x < 0 \\ - 3 x + 7 & 0 \leq x < 4 \\ \sqrt{x - 4} + 1 & 4 \leq x \end{cases}$
211611	Simplify	(a+4)/(25a-5)+(5a)/(25a-5)	$\frac{a + 4}{25 a - 5} + \frac{5 a}{25 a - 5}$
211612	Simplify	cube root of 64x^4* square root of 16x	$\sqrt[3]{64 x^{4}} \cdot \sqrt{16 x}$
211613	Multiply	(2x+3y+5)^2	${(2 x + 3 y + 5)}^{2}$
211614	Solve for x	1/6(12x+48)=-1/8(8x-16)+3x	$\frac{1}{6} (12 x + 48) = - \frac{1}{8} (8 x - 16) + 3 x$
211615	Simplify	( fourth root of x^2)/( cube root of x^3)	$\frac{\sqrt[4]{x^{2}}}{\sqrt[3]{x^{3}}}$
211616	Graph	y=2x^2-4 y=-2x	$y = 2 x^{2} - 4$ $y = - 2 x$
211617	Find the Exact Value	sin(arccos(-4/( square root of 25)))	$\sin (\arccos (- \frac{4}{\sqrt{25}}))$
211618	Simplify	( square root of c^3)/( fourth root of c^5)	$\frac{\sqrt{c^{3}}}{\sqrt[4]{c^{5}}}$
211619	Solve the System of Equations	y+17=3(x+6)-14 y+15=x+6	$y + 17 = 3 (x + 6) - 14$ $y + 15 = x + 6$
211620	Simplify the Radical Expression	( square root of 3a)/( square root of 27a^7)	$\frac{\sqrt{3 a}}{\sqrt{27 a^{7}}}$
211621	Graph	f(x)=3cot(2x)-1	$f (x) = 3 \cot (2 x) - 1$
211622	Simplify	(6^2*6^5)^-6	${(6^{2} \cdot 6^{5})}^{- 6}$
211623	Simplify	(x+3)/(4x)(3x-18)/(6x+18)(x^2)/(4x+12)	$\frac{x + 3}{4 x} \cdot \frac{3 x - 18}{6 x + 18} \cdot \frac{x^{2}}{4 x + 12}$
211624	Simplify	(1-a/(a-b))/(1/(a-b))	$\frac{1 - \frac{a}{a - b}}{\frac{1}{a - b}}$
211625	Simplify	2(8^(1/5))+10(8^(1/5))	$2 (8^{\frac{1}{5}}) + 10 (8^{\frac{1}{5}})$
211626	Solve for x	x^6-9x^4-x^2+9=0	$x^{6} - 9 x^{4} - x^{2} + 9 = 0$
211627	Find the Exact Value	4sin(90 degrees )-3tan(180 degrees )	$4 \sin (90 °) - 3 \tan (180 °)$
211628	Solve for y	log of 6- log of -2y-3 = log of 4	$\log (6) - \log (- 2 y - 3) = \log (4)$
211629	Solve for x	square root of 6-x=-16	$\sqrt{6 - x} = - 16$
211630	Solve for x	-1+1/2=-3/(2x)	$- 1 + \frac{1}{2} = \frac{- 3}{2 x}$
211631	Solve the System of Equations	y=x^2-5x x+y=21	$y = x^{2} - 5 x$ $x + y = 21$
211632	Evaluate	2a+3b=5	$2 a + 3 b = 5$
211633	Write in Exponential Form	fifth root of 3^4* fifth root of 3^6	$\sqrt[5]{3^{4}} \cdot \sqrt[5]{3^{6}}$
211634	Simplify	(4+ square root of 5)/( square root of 5-2)	$\frac{4 + \sqrt{5}}{\sqrt{5} - 2}$
211635	Simplify	(2^5*8^2)/(16^-3)	$\frac{2^{5} \cdot 8^{2}}{16^{- 3}}$
211636	Evaluate	1/x+1/(x-2)=1/4	$\frac{1}{x} + \frac{1}{x - 2} = \frac{1}{4}$
211637	Solve by Factoring	12n^2+48n=-n^3-64	$12 n^{2} + 48 n = - n^{3} - 64$
211638	Evaluate	56-(7+9)+24÷8	$56 - (7 + 9) + 24 \div 8$
211639	Solve for a	2x+3y=3 ax+by=6	$2 x + 3 y = 3$ $a x + b y = 6$
211640	Solve for x	cube root of 4x^2+2=x+2	$\sqrt[3]{4 x^{2}} + 2 = x + 2$
211641	Solve the System of Equations	x+y-3z=-20 -3y+2z=5 z=4	$x + y - 3 z = - 20$ $- 3 y + 2 z = 5$ $z = 4$
211642	Simplify the Radical Expression	2/( square root of x)	$\frac{2}{\sqrt{x}}$
211643	Describe the Transformation	y = square root of 2x	$y = \sqrt{2 x}$
211644	Solve the Inequality for g	4-5g>39	$4 - 5 g > 39$
211645	Evaluate	ba^4*(2ba^4)^-3	$b a^{4} \cdot {(2 b a^{4})}^{- 3}$
211646	Factor	x^3-kx^2+2x	$x^{3} - k x^{2} + 2 x$
211647	Solve for x	(x^2)/5-x/3=-2/15	$\frac{x^{2}}{5} - \frac{x}{3} = - \frac{2}{15}$
211648	Solve for y	x=(y^2)/2	$x = \frac{y^{2}}{2}$
211649	Simplify	(1/9-1/x)/(1/81-1/(x^2))	$\frac{\frac{1}{9} - \frac{1}{x}}{\frac{1}{81} - \frac{1}{x^{2}}}$
211650	Solve by Graphing	y=-1/4x+3 y=-3/2x-2	$y = - \frac{1}{4} x + 3$ $y = - \frac{3}{2} x - 2$
211651	Simplify	((256x^20)/(y^8))^(-1/4)	${(\frac{256 x^{20}}{y^{8}})}^{- \frac{1}{4}}$
211652	Graph	x+y>4 2x-y<=3	$x + y > 4$ $2 x - y \leq 3$
211653	Simplify	(6a+6)+(3x-2)+(2a+4)	$(6 a + 6) + (3 x - 2) + (2 a + 4)$
211654	Find the Exact Value	arcos (-1/2)	arcos $(- \frac{1}{2})$
211655	Evaluate	1/((2pi)/3)	$\frac{1}{\frac{2 π}{3}}$
211656	Simplify	-2/(5-i)	$\frac{- 2}{5 - i}$
211657	Divide Using Synthetic Division	x^3+10x^2+17x-12 by x+3	$x^{3} + 10 x^{2} + 17 x - 12$ by $x + 3$
211658	Simplify	((5 square root of 96)/6)÷((2 square root of 24)/5)	$\frac{5 \sqrt{96}}{6} \div \frac{2 \sqrt{24}}{5}$
211659	Simplify	- natural log of e^(3/2x)	$- \ln (e^{\frac{3}{2} x})$
211660	Solve for c	2x^3-8x^2-24x=ax(x+b)(x+c)	$2 x^{3} - 8 x^{2} - 24 x = a x (x + b) (x + c)$
211661	Graph	f(x)=1/( square root of 1-x^2)	$f (x) = \frac{1}{\sqrt{1 - x^{2}}}$
211662	Simplify	(x+1)/( square root of x-1)	$\frac{x + 1}{\sqrt{x} - 1}$
211663	Determine if a Polynomial	(x^5)/8	$\frac{x^{5}}{8}$
211664	Simplify	square root of (3 square root of 2- square root of 14)^2	$\sqrt{{(3 \sqrt{2} - \sqrt{14})}^{2}}$
211665	Solve for x	(4x)/(6x+4)=x/25	$\frac{4 x}{6 x + 4} = \frac{x}{25}$
211666	Solve for θ	2sin(theta)*cos(theta)=-cos(theta)	$2 \sin (θ) \cdot \cos (θ) = - \cos (θ)$
211667	Graph	Graph 2x-6y=12	Graph $2 x - 6 y = 12$
211668	Factor	a^3b^2-a	$a^{3} b^{2} - a$
211669	Simplify	(3x)/(2y+3)+(x^2+3x)/(4xy-3-2y+6x)	$\frac{3 x}{2 y + 3} + \frac{(x^{2} + 3 x)}{4 x y - 3 - 2 y + 6 x}$
211670	Simplify	cube root of 18x^3y^5* cube root of 72x^2y	$\sqrt[3]{18 x^{3} y^{5}} \cdot \sqrt[3]{72 x^{2} y}$
211671	Solve for p	1/6(p+24)=10	$\frac{1}{6} (p + 24) = 10$
211672	Divide	(2 square root of 2)/2	$\frac{2 \sqrt{2}}{2}$
211673	Solve for x	-7/4-9/x=(2x+9)/(4x)	$\frac{- 7}{4} - \frac{9}{x} = \frac{2 x + 9}{4 x}$
211674	Solve by Addition/Elimination	4x+3y=8 and x-2y=-13	$4 x + 3 y = 8$ and $x - 2 y = - 13$
211675	Solve for r	w = square root of a/r	$w = \sqrt{\frac{a}{r}}$
211676	Solve for q	8q=18-2p	$8 q = 18 - 2 p$
211677	Write in Standard Form	(5x^3+2x-1+4x^2)+(6-5x+x^3)-(2x^2+5)	$(5 x^{3} + 2 x - 1 + 4 x^{2}) + (6 - 5 x + x^{3}) - (2 x^{2} + 5)$
211678	Graph	y=-x^5+3x^4+x^3-7x^2+4	$y = - x^{5} + 3 x^{4} + x^{3} - 7 x^{2} + 4$
211679	Find the x and y Intercepts	f(x)=2 log of 5(x+4)-6	$f (x) = 2 \log (5) (x + 4) - 6$
211680	Solve the System of Inequalities	-3x+7>-23 OR -29>-3X+7	$- 3 x + 7 > - 23$ OR $- 29 > - 3 X + 7$
211681	Solve for y	log base 2 of y=x+7	$\log_{2} (y) = x + 7$
211682	Simplify	((3x+y)/(x-y)-3)/(1-(x-3y)/(x+y))	$\frac{\frac{3 x + y}{x - y} - 3}{1 - \frac{x - 3 y}{x + y}}$
211683	Subtract	(-4x^7+2x^9+9+9x^8)-(5-3x^8+8x^9+7x^7)	$(- 4 x^{7} + 2 x^{9} + 9 + 9 x^{8}) - (5 - 3 x^{8} + 8 x^{9} + 7 x^{7})$
211684	Solve for k	28=-k+16-2k-9	$28 = - k + 16 - 2 k - 9$
211685	Find the Exact Value	cos((2pi)/3)^2+sin((2pi)/3)^2	$\cos^{2} (\frac{2 π}{3}) + \sin^{2} (\frac{2 π}{3})$
211686	Simplify	(2c^(2/5))(2^3c^(2/5))	$(2 c^{\frac{2}{5}}) (2^{3} c^{\frac{2}{5}})$
211687	Simplify	(11a-2b)/(4a)+(2a-3b)/(4a)-(a-b)/(4a)	$\frac{11 a - 2 b}{4 a} + \frac{2 a - 3 b}{4 a} - \frac{a - b}{4 a}$
211688	Simplify	(a/(5b))^-2	${(\frac{a}{5 b})}^{- 2}$
211689	Simplify	(-x^5y^5-1/4x^3y^2+2/3x^5y-6xy^3)÷(-3x^2y^3)	$(- x^{5} y^{5} - \frac{1}{4} x^{3} y^{2} + \frac{2}{3} x^{5} y - 6 x y^{3}) \div (- 3 x^{2} y^{3})$
211690	Simplify	cube root of 8x^6* fourth root of 81x^12	$\sqrt[3]{8 x^{6}} \cdot \sqrt[4]{81 x^{12}}$
211691	Evaluate	((x^(n+5))/y)^2	${(\frac{x^{n + 5}}{y})}^{2}$
211692	Simplify the Radical Expression	square root of 2 square root of 5	$\sqrt{2} \sqrt{5}$
211693	Graph	-4y<=2/3x-2	$- 4 y \leq \frac{2}{3} x - 2$
211694	Simplify	((6x^2y^3)^2)/(108x^6y)	$\frac{{(6 x^{2} y^{3})}^{2}}{108 x^{6} y}$
211695	Simplify	15 square root of 11+3 square root of 11+5 square root of 11+6 square root of 11	$15 \sqrt{11} + 3 \sqrt{11} + 5 \sqrt{11} + 6 \sqrt{11}$
211696	Solve for b	square root of 2b-15 = square root of b/8	$\sqrt{2 b - 15} = \sqrt{\frac{b}{8}}$
211697	Simplify	(5x^3)(2x)(3x^2)	$(5 x^{3}) (2 x) (3 x^{2})$
211698	Simplify	(1+i square root of 2)-(1-i square root of 2)	$(1 + i \sqrt{2}) - (1 - i \sqrt{2})$
211699	Simplify the Radical Expression	2 square root of 180x^4yz^3	$2 \sqrt{180 x^{4} y z^{3}}$
211700	Simplify	(3k^2+5)+(16x^2+7)	$(3 k^{2} + 5) + (16 x^{2} + 7)$