Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
201601	Simplify the Radical Expression	20 root of 32m^15n^5	$\sqrt[20]{32 m^{15} n^{5}}$
201602	Simplify the Radical Expression	square root of cube root of 64	$\sqrt[2]{\sqrt[3]{64}}$
201603	Evaluate	(-4x)^-3	${(- 4 x)}^{- 3}$
201604	Find the x and y Intercepts	f(x)=(3/4)^(2(x+1))-5	$f (x) = {(\frac{3}{4})}^{2 (x + 1)} - 5$
201605	Simplify	fourth root of (32x^6)/(y^2)	$\sqrt[4]{\frac{32 x^{6}}{y^{2}}}$
201606	Write in Slope-Intercept Form	2x+y>-3	$2 x + y > - 3$
201607	Evaluate	4(3-x)^(4/3)-5=59	$4 {(3 - x)}^{\frac{4}{3}} - 5 = 59$
201608	Factor by Grouping	64x^3+8	$64 x^{3} + 8$
201609	Solve the System of Equations	2/3x+3/7y=-13/3 1/8x+3/7y=-13/4	$\frac{2}{3} x + \frac{3}{7} y = - \frac{13}{3}$ $\frac{1}{8} x + \frac{3}{7} y = - \frac{13}{4}$
201610	Simplify	y square root of 2x- square root of 8x^3+3 square root of 18x	$y \sqrt{2 x} - \sqrt{8 x^{3}} + 3 \sqrt{18 x}$
201611	Simplify	(2x)/(3x-6)+(3x)/(x-2)	$\frac{2 x}{3 x - 6} + \frac{3 x}{x - 2}$
201612	Solve for G	G=(-2+3i)/(-2-3i)	$G = \frac{- 2 + 3 i}{- 2 - 3 i}$
201613	Simplify	5 fourth root of 64*2 fourth root of 8	$5 \sqrt[4]{64} \cdot 2 \sqrt[4]{8}$
201614	Evaluate	y=10(1+0.4)^5	$y = 10 {(1 + 0.4)}^{5}$
201615	Solve for x	x^6-15=5x^4-x^2	$x^{6} - 15 = 5 x^{4} - x^{2}$
201616	Simplify	( fourth root of 27)/( fourth root of 3)	$\frac{\sqrt[4]{27}}{\sqrt[4]{3}}$
201617	Graph	x^2-6x+9<=0	$x^{2} - 6 x + 9 \leq 0$
201618	Simplify	(x^2)/9*18/(x^3)	$\frac{x^{2}}{9} \cdot \frac{18}{x^{3}}$
201619	Simplify	((-6)^-4)/(3^-2)	$\frac{{(- 6)}^{- 4}}{3^{- 2}}$
201620	Write as a Single Logarithm	2 log of x- log of y+2 log of z	$2 \log (x) - \log (y) + 2 \log (z)$
201621	Solve for y	fourth root of 2y+3+1=0	$\sqrt[4]{2 y + 3} + 1 = 0$
201622	Solve the System of Equations	5x+y=19 2y=-5x+28	$5 x + y = 19$ $2 y = - 5 x + 28$
201623	Solve for x	y=3 fourth root of x	$y = 3 \sqrt[4]{x}$
201624	Solve for x	4/(5x)-2/x=3/10	$\frac{4}{5 x} - \frac{2}{x} = \frac{3}{10}$
201625	Determine the Possible Number of Real Roots	2x^4+x^3-x+7=0	$2 x^{4} + x^{3} - x + 7 = 0$
201626	Simplify	(x^2+5x)/(x+7)-14/(x+7)	$\frac{x^{2} + 5 x}{x + 7} - \frac{14}{x + 7}$
201627	Evaluate	(-9x+5)^(1/2)=(3+4x)^(1/2)	${(- 9 x + 5)}^{\frac{1}{2}} = {(3 + 4 x)}^{\frac{1}{2}}$
201628	Evaluate	(-2(4-1)-(2-5))+1	$(- 2 (4 - 1) - (2 - 5)) + 1$
201629	Convert to Radical Form	(81/16)^(-3/4)	${(\frac{81}{16})}^{- \frac{3}{4}}$
201630	Solve for x	log base 9 of 4x-5< log base 9 of -2x+1	$\log_{9} (4 x - 5) < \log_{9} (- 2 x + 1)$
201631	Solve for x	2^(x+1)+2^(x-1)=5	$2^{x + 1} + 2^{x - 1} = 5$
201632	Solve for f	2f+3-5f=6+2(4-f)	$2 f + 3 - 5 f = 6 + 2 (4 - f)$
201633	Simplify	((143xy)^0d^-8)/(d^-5)	$\frac{{(143 x y)}^{0} d^{- 8}}{d^{- 5}}$
201634	Simplify	20x^6 cube root of -1/1000x^36	$20 x^{6} \sqrt[3]{\frac{- 1}{1000} x^{36}}$
201635	Simplify	((3x^2)/(x+2))÷((3x)/(x^2-4))	$\frac{3 x^{2}}{x + 2} \div \frac{3 x}{x^{2} - 4}$
201636	Simplify	- square root of (y+7)^16	$- \sqrt{{(y + 7)}^{16}}$
201637	Simplify the Radical Expression	(3- fourth root of 5x^2)/( fourth root of 3x^3)	$\frac{3 - \sqrt[4]{5 x^{2}}}{\sqrt[4]{3 x^{3}}}$
201638	Write as a Single Logarithm	log base 5 of 3+ log base 5 of 6- log base 5 of 9	$\log_{5} (3) + \log_{5} (6) - \log_{5} (9)$
201639	Simplify the Radical Expression	fourth root of (x^12)/(y^16)	$\sqrt[4]{\frac{x^{12}}{y^{16}}}$
201640	Simplify	((x^2y)/(xy^3))^2	${(\frac{x^{2} y}{x y^{3}})}^{2}$
201641	Simplify	((-3x^6)^2)/(5x^3*3x^3)	$\frac{{(- 3 x^{6})}^{2}}{5 x^{3} \cdot 3 x^{3}}$
201642	Simplify	12(5+5)^2-17+3	$12 {(5 + 5)}^{2} - 17 + 3$
201643	Write in Slope-Intercept Form	x-y=1/5	$x - y = \frac{1}{5}$
201644	Simplify	4y^(1/2)xy^(-3/2)4x^-2	$4 y^{\frac{1}{2}} \cdot x y^{- \frac{3}{2}} \cdot 4 x^{- 2}$
201645	Find the x and y Intercepts	(3x^2)/(2x^2-32)	$\frac{3 x^{2}}{2 x^{2} - 32}$
201646	Convert to Radical Form	(5x)1/2	$(5 x) \frac{1}{2}$
201647	Simplify	(5-4 square root of 2)/(4-3 square root of 2)	$\frac{5 - 4 \sqrt{2}}{4 - 3 \sqrt{2}}$
201648	Solve for n	f(x)=x^n	$f (x) = x^{n}$
201649	Simplify	(1+ square root of 72)(5+ square root of 2)	$(1 + \sqrt{72}) (5 + \sqrt{2})$
201650	Simplify	(x^5)^3(16x^8)^(1/2)	${(x^{5})}^{3} {(16 x^{8})}^{\frac{1}{2}}$
201651	Solve for x	4/(x+3)-5/(3-x)=1/(x-3)-1	$\frac{4}{x + 3} - \frac{5}{3 - x} = \frac{1}{x - 3} - 1$
201652	Evaluate	4a+2b=10	$4 a + 2 b = 10$
201653	Describe the Transformation	f(x+4)-2	$f (x + 4) - 2$
201654	Convert to a Simplified Fraction	12in to 36in	$12 inches$ to $36 inches$
201655	Solve the System of Equations	2x+3y-z=0 x-2y-4z=14 3x+y-8z=17	$2 x + 3 y - z = 0$ $x - 2 y - 4 z = 14$ $3 x + y - 8 z = 17$
201656	Simplify	(k^0m^-3)/(m^-3)	$\frac{k^{0} m^{- 3}}{m^{- 3}}$
201657	Evaluate	f(-1)=3(2)^-1	$f (- 1) = 3 {(2)}^{- 1}$
201658	Simplify	(24x)/(12-8x)	$\frac{24 x}{12 - 8 x}$
201659	Simplify	8 cube root of 5- cube root of 40-2 cube root of 135	$8 \sqrt[3]{5} - \sqrt[3]{40} - 2 \sqrt[3]{135}$
201660	Solve for M	5M=-20	$5 M = - 20$
201661	Find the Degree, Leading Term, and Leading Coefficient	-10x^6-2x^5+4x^4+7x^3-9x^2+5.5x-1	$- 10 x^{6} - 2 x^{5} + 4 x^{4} + 7 x^{3} - 9 x^{2} + 5.5 x - 1$
201662	Solve for y	y=x/2+9 , x=-12	$y = \frac{x}{2} + 9$ , $x = - 12$
201663	Simplify	((x^2)/(y^(1/3)))^(-1/2)	${(\frac{x^{2}}{y^{\frac{1}{3}}})}^{- \frac{1}{2}}$
201664	Graph	y=5x y=4x-1	$y = 5 x$ $y = 4 x - 1$
201665	Solve for y	square root of y+3 = square root of 5-2y	$\sqrt{y + 3} = \sqrt{5 - 2 y}$
201666	Solve for x	6x-4(x+1)=4(x-3)+8	$6 x - 4 (x + 1) = 4 (x - 3) + 8$
201667	Solve the Inequality for w	-w^2+14w-24>0	$- w^{2} + 14 w - 24 > 0$
201668	Simplify	1/2y^5+1/3y^5	$\frac{1}{2} y^{5} + \frac{1}{3} y^{5}$
201669	Solve for y	3y+2/5=-1/5	$3 y + \frac{2}{5} = - \frac{1}{5}$
201670	Simplify	fourth root of 4* cube root of 2	$\sqrt[4]{4} \cdot \sqrt[3]{2}$
201671	Find the Roots (Zeros)	-3cos(6x)	$- 3 \cos (6 x)$
201672	Solve for y	y=1/4(4)^(3/2)	$y = \frac{1}{4} {(4)}^{\frac{3}{2}}$
201673	Simplify	(x- square root of 5)(x+ square root of 7)	$(x - \sqrt{5}) (x + \sqrt{7})$
201674	Simplify	(4+2/x)/(3-2/x)	$\frac{(4 + \frac{2}{x})}{(3 - \frac{2}{x})}$
201675	Simplify	(2+(x-1))(2-(x-1))	$(2 + (x - 1)) (2 - (x - 1))$
201676	Graph	x-3y>=12 2x-y>=-6	$x - 3 y \geq 12$ $2 x - y \geq - 6$
201677	Divide	(4a^2h^2-8a^3h+3a^4)÷(2a^2)	$(4 a^{2} h^{2} - 8 a^{3} h + 3 a^{4}) \div (2 a^{2})$
201678	Simplify	(b+2)/(15b)-(3c-5)/(45c)	$\frac{b + 2}{15 b} - \frac{3 c - 5}{45 c}$
201679	Solve for f	1/2(6-2f)=6	$\frac{1}{2} (6 - 2 f) = 6$
201680	Simplify	(c^4d^4f^3)/(c^2d^4f^3)	$\frac{c^{4} d^{4} f^{3}}{c^{2} d^{4} f^{3}}$
201681	Solve for x	(2x-1)(2x+1)=x(2x+3)	$(2 x - 1) (2 x + 1) = x (2 x + 3)$
201682	Evaluate the Function	g(x)=1/5*(1/3)^x at x=3	$g (x) = \frac{1}{5} \cdot {(\frac{1}{3})}^{x}$ at $x = 3$
201683	Solve for x	7x-3(x+2)=x+5	$7 x - 3 (x + 2) = x + 5$
201684	Solve the Inequality for x	4x+2<8x-(6x-10)	$4 x + 2 < 8 x - (6 x - 10)$
201685	Solve for x	(x-1)/(x+2)=10/(3x-2)	$\frac{x - 1}{x + 2} = \frac{10}{3 x - 2}$
201686	Solve for x	log base -1/2 of x=-7	$\log_{- \frac{1}{2}} (x) = - 7$
201687	Evaluate	(1+ log of 3)/(2+ square root of 5)	$\frac{1 + \log (3)}{2 + \sqrt{5}}$
201688	Solve for n	8n-6(-5n-3)=18+7n	$8 n - 6 (- 5 n - 3) = 18 + 7 n$
201689	Simplify	(k+5)/(k+1)+8/(k^2-1)	$\frac{k + 5}{k + 1} + \frac{8}{k^{2} - 1}$
201690	Simplify	(7- square root of 5)/(4+ square root of 5)	$\frac{7 - \sqrt{5}}{4 + \sqrt{5}}$
201691	Simplify the Radical Expression	square root of 16x	$\sqrt{16 x}$
201692	Identify the Sequence	1/2 , 7/6 , 11/6 , 5/2	$\frac{1}{2}$ , $\frac{7}{6}$ , $\frac{11}{6}$ , $\frac{5}{2}$
201693	Simplify	((2pq)(3p^2q^4))/(-6pq^5)	$\frac{(2 p q) (3 p^{2} q^{4})}{- 6 p q^{5}}$
201694	Factor	F(X)=x^2-5x+6	$F (X) = x^{2} - 5 x + 6$
201695	Evaluate	(1/(216^(-2/3)))	$(\frac{1}{216^{- \frac{2}{3}}})$
201696	Find the Perpendicular Line	y+2=1/3(x-5) , (-4,3)	$y + 2 = \frac{1}{3} (x - 5)$ , $(- 4, 3)$
201697	Describe the Transformation	f(x)=-(4/3)^(2(x-3))+1	$f (x) = - {(\frac{4}{3})}^{2 (x - 3)} + 1$
201698	Find the Inverse	f(x)=- cube root of (2x+4)/3	$f (x) = - \sqrt[3]{\frac{2 x + 4}{3}}$
201699	Simplify	1/(i+2)	$\frac{1}{i + 2}$
201700	Simplify	x(4x+5)+3(2x^2-4x+1)	$x (4 x + 5) + 3 (2 x^{2} - 4 x + 1)$