Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
208501	Simplify	square root of (24x^6y)/(128x^4y^5)	$\sqrt{\frac{24 x^{6} y}{128 x^{4} y^{5}}}$
208502	Write in Slope-Intercept Form	-4=-2y	$- 4 = - 2 y$
208503	Graph Using a Table of Values	f(x)=5^(x-6)+5	$f (x) = 5^{x - 6} + 5$
208504	Simplify	((a-1)/a-a/(1+a))/((1+a)/a+a/(1-a))	$\frac{\frac{a - 1}{a} - \frac{a}{1 + a}}{\frac{1 + a}{a} + \frac{a}{1 - a}}$
208505	Combine Like Terms	3b+5ab+7ab-23b	$3 b + 5 a b + 7 a b - 23 b$
208506	Solve for x	3x+2=10-4(x-1)	$3 x + 2 = 10 - 4 (x - 1)$
208507	Find All Complex Solutions	square root of 5x+1- square root of x=5	$\sqrt{5 x + 1} - \sqrt{x} = 5$
208508	Solve for x	3x square root of 5=21 square root of 30	$3 x \sqrt{5} = 21 \sqrt{30}$
208509	Solve for x	1/(x-4)=3/2+2/(x-4)	$\frac{1}{x - 4} = \frac{3}{2} + \frac{2}{x - 4}$
208510	Graph	graph -8x-y=8	graph $- 8 x - y = 8$
208511	Simplify	2 square root of 3(3 square root of 3+4 square root of 3)	$2 \sqrt{3} (3 \sqrt{3} + 4 \sqrt{3})$
208512	Simplify	(32s^5w^2-24s^2w^3)/(8s^2w^2)	$\frac{32 s^{5} w^{2} - 24 s^{2} w^{3}}{8 s^{2} w^{2}}$
208513	Find the Roots (Zeros)	2cos(x-2pi)	$2 \cos (x - 2 π)$
208514	Multiply	- square root of 3*(- square root of 3)	$- \sqrt{3} \cdot (- \sqrt{3})$
208515	Multiply	3^-2*34	$3^{- 2} \cdot 34$
208516	Evaluate	3^-2*34	$3^{- 2} \cdot 34$
208517	Simplify/Condense	1/3(2 natural log of x+3+ natural log of x- natural log of x^2-1)	$\frac{1}{3} (2 \ln (x + 3) + \ln (x) - \ln (x^{2} - 1))$
208518	Solve Using the Quadratic Formula	8x^3-125=0	$8 x^{3} - 125 = 0$
208519	Solve for x	3(x+5)+6x=-3(1-3x)+18	$3 (x + 5) + 6 x = - 3 (1 - 3 x) + 18$
208520	Simplify	( square root of 1)/( square root of 4)	$\frac{\sqrt{1}}{\sqrt{4}}$
208521	Convert to Radical Form	5^(1/2)*5^(1/2)	$5^{\frac{1}{2}} \cdot 5^{\frac{1}{2}}$
208522	Evaluate	cube root of 500/pi	$\sqrt[3]{\frac{500}{π}}$
208523	Simplify	(x^(1/2)y^(2/3))/(x^(1/3)y^(1/2))	$\frac{x^{\frac{1}{2}} y^{\frac{2}{3}}}{x^{\frac{1}{3}} y^{\frac{1}{2}}}$
208524	Graph	5-x<2(x-3)+5	$5 - x < 2 (x - 3) + 5$
208525	Simplify	(8^3*8^2)/(8^5)	$\frac{8^{3} \cdot 8^{2}}{8^{5}}$
208526	Simplify	(5x^2y-10xy+15xy^2)/(5xy)	$\frac{5 x^{2} y - 10 x y + 15 x y^{2}}{5 x y}$
208527	Simplify the Radical Expression	( square root of 48x^9)/( square root of 6x^3)	$\frac{\sqrt{48 x^{9}}}{\sqrt{6 x^{3}}}$
208528	Simplify	(x^3+4x^2-x-4)/(x^2+3x-4)	$\frac{x^{3} + 4 x^{2} - x - 4}{x^{2} + 3 x - 4}$
208529	Solve for x	-1/4x-4+3/4x=1/2x+1	$- \frac{1}{4} x - 4 + \frac{3}{4} x = \frac{1}{2} x + 1$
208530	Evaluate	(2^3(3^2-2^0))/(2^3-3^2)	$\frac{2^{3} (3^{2} - 2^{0})}{(2^{3} - 3^{2})}$
208531	Solve for y	5x-y=1/4	$5 x - y = \frac{1}{4}$
208532	Solve for x	square root of x+9- square root of 2x-7=0	$\sqrt{x + 9} - \sqrt{2 x - 7} = 0$
208533	Solve for θ	1+2cot(theta)^2+cot(theta)^4=csc(theta)^n	$1 + 2 \cot^{2} (θ) + \cot^{4} (θ) = {\csc (θ)}^{n}$
208534	Evaluate	-2(-3/4+1/8)	$- 2 (- \frac{3}{4} + \frac{1}{8})$
208535	Solve for y	4/3y+2=4y-4	$\frac{4}{3} y + 2 = 4 y - 4$
208536	Simplify	( square root of 9x^2y^4)/(4x^(-3/2)y^4)	$\frac{\sqrt{9 x^{2} y^{4}}}{4 x^{- \frac{3}{2}} y^{4}}$
208537	Simplify the Radical Expression	square root of 49(x+2y)^10	$\sqrt{49 {(x + 2 y)}^{10}}$
208538	Simplify	-9x^2y^2+5x^2y-11xy+1+4xy-13x^2y+7	$- 9 x^{2} y^{2} + 5 x^{2} y - 11 x y + 1 + 4 x y - 13 x^{2} y + 7$
208539	Solve the Inequality for x	1/6<(2x-13)/12<=2/3	$\frac{1}{6} < \frac{2 x - 13}{12} \leq \frac{2}{3}$
208540	Find the Second Term	a_n=((n+4)!)/((n+5)!)	$a_{n} = \frac{(n + 4)!}{(n + 5)!}$
208541	Find the Exact Value	arctan(( square root of 3)/1)	$\arctan (\frac{\sqrt{3}}{1})$
208542	Simplify	w^-1(u^6v^-3w^-1)^-1	$w^{- 1} {(u^{6} v^{- 3} w^{- 1})}^{- 1}$
208543	Simplify	( square root of z square root of y square root of x)^8	${(\sqrt{z \sqrt{y \sqrt{x}}})}^{8}$
208544	Factor	4x^4+35x^2-9=0	$4 x^{4} + 35 x^{2} - 9 = 0$
208545	Solve the Inequality for x	31(2x+1)-12x>50x	$31 (2 x + 1) - 12 x > 50 x$
208546	Simplify	(6^7)/(6^8*6^-7)	$\frac{6^{7}}{6^{8} \cdot 6^{- 7}}$
208547	Find the Equation Using Slope-Intercept Form	point: (11,3) ; slope: 4/11	point: $(11, 3)$ ; slope: $\frac{4}{11}$
208548	Find the LCM	2x^2-18 and 5x^3+30x^2+45x	$2 x^{2} - 18$ and $5 x^{3} + 30 x^{2} + 45 x$
208549	Simplify	(8m^3nq^2)^2	${(8 m^{3} n q^{2})}^{2}$
208550	Simplify	(10^7)/(25^3)*5/32	$\frac{10^{7}}{25^{3}} \cdot \frac{5}{32}$
208551	Simplify	(7y-5)/(12y)-(10y-19)/(12y)+(10-15y)/(12y)	$\frac{7 y - 5}{12 y} - \frac{10 y - 19}{12 y} + \frac{10 - 15 y}{12 y}$
208552	Simplify	4/5+5/4-1 1/20	$\frac{4}{5} + \frac{5}{4} - 1 \frac{1}{20}$
208553	Divide Using Long Polynomial Division	(3a^3-15a^2b+12ab^2)/(3a^2b)	$\frac{3 a^{3} - 15 a^{2} b + 12 a b^{2}}{3 a^{2} b}$
208554	Write the Fraction in Simplest Form	((-5p^-2)^3)/(-4p^-1)	$\frac{{(- 5 p^{- 2})}^{3}}{- 4 p^{- 1}}$
208555	Solve Using the Quadratic Formula	4(4x-3)^2-10=26	$4 {(4 x - 3)}^{2} - 10 = 26$
208556	Evaluate	(1/2)/(1/2+1)-1	$\frac{\frac{1}{2}}{\frac{1}{2} + 1} - 1$
208557	Evaluate	((- square root of 3)/2)÷(1/2)	$\frac{- \sqrt{3}}{2} \div \frac{1}{2}$
208558	Solve for x	9^(2x+1)-2*3^(4x-1)=225	$9^{2 x + 1} - 2 \cdot 3^{4 x - 1} = 225$
208559	Solve for x	(3x+7)/(x+8)-(2x)/(x-2)=2/(x^2+6x-16)	$\frac{3 x + 7}{x + 8} - \frac{2 x}{x - 2} = \frac{2}{x^{2} + 6 x - 16}$
208560	Simplify	(15a^3b^4c^2)/(3a^2bc^4)	$\frac{15 a^{3} b^{4} c^{2}}{3 a^{2} b c^{4}}$
208561	Solve for x	5/6=(7x+9)/9	$\frac{5}{6} = \frac{7 x + 9}{9}$
208562	Evaluate	1/5*(1/3)^3	$\frac{1}{5} \cdot {(\frac{1}{3})}^{3}$
208563	Simplify	( square root of w^11)/( cube root of w^8)	$\frac{\sqrt{w^{11}}}{\sqrt[3]{w^{8}}}$
208564	Write as a Single Logarithm	5* log base 8 of c^3d^2+3* log base 8 of cd^7	$5 \cdot \log_{8} (c^{3} d^{2}) + 3 \cdot \log_{8} (c d^{7})$
208565	Evaluate	f(-3)=0.5^-3	$f (- 3) = {0.5}^{- 3}$
208566	Find the Inverse	y=4+ cube root of x-4	$y = 4 + \sqrt[3]{x - 4}$
208567	Factor	x^3-3x^2-10x-x^2+3x+10=0	$x^{3} - 3 x^{2} - 10 x - x^{2} + 3 x + 10 = 0$
208568	Solve for w	-5w+12w+9=4w+42	$- 5 w + 12 w + 9 = 4 w + 42$
208569	Evaluate	1÷(-( square root of 2)/2)	$1 \div (- \frac{\sqrt{2}}{2})$
208570	Describe the Transformation	f(x)=6(1/3)^x	$f (x) = 6 {(\frac{1}{3})}^{x}$
208571	Solve the System of Inequalities	y<2x-4 y>2x+1	$y < 2 x - 4$ $y > 2 x + 1$
208572	Simplify	square root of 49x* fourth root of 16x^6	$\sqrt{49 x} \cdot \sqrt[4]{16 x^{6}}$
208573	Subtract	1/(x^2+3x-4)-1/(x^2-3x+2)	$\frac{1}{x^{2} + 3 x - 4} - \frac{1}{x^{2} - 3 x + 2}$
208574	Write in Exponential Form	square root of 5* cube root of 5	$\sqrt{5} \cdot \sqrt[3]{5}$
208575	Simplify	2x^2+3y-4+4x^2-7+y	$2 x^{2} + 3 y - 4 + 4 x^{2} - 7 + y$
208576	Solve for p	s=p+i	$s = p + i$
208577	Solve the Inequality for x	4- square root of 2x+1<1	$4 - \sqrt{2 x + 1} < 1$
208578	Simplify	2x cube root of 24x+5 cube root of 81x^4	$2 x \sqrt[3]{24 x} + 5 \sqrt[3]{81 x^{4}}$
208579	Simplify	(1/(625^(-3/4)))	$(\frac{1}{625^{- \frac{3}{4}}})$
208580	Find the Degree, Leading Term, and Leading Coefficient	f(x)=7-x	$f (x) = 7 - x$
208581	Evaluate	3^(2a)=3^(-a)	$3^{2 a} = 3^{- a}$
208582	Simplify	(6x^3+2x^2-4x)+(3x^2-7x+1)+(2x^3-5x^2+8x-7)	$(6 x^{3} + 2 x^{2} - 4 x) + (3 x^{2} - 7 x + 1) + (2 x^{3} - 5 x^{2} + 8 x - 7)$
208583	Write in Standard Form	9p^3q^4(3p^3-5q)	$9 p^{3} q^{4} (3 p^{3} - 5 q)$
208584	Solve for x	1/8x^3+1 1/2x=3/4x^2+1	$\frac{1}{8} x^{3} + 1 \frac{1}{2} x = \frac{3}{4} x^{2} + 1$
208585	Find the Product	-a^2b^2c^2(a+b-c)	$- a^{2} b^{2} c^{2} (a + b - c)$
208586	Evaluate	1-2/3+4/9-8/27+dots	$1 - \frac{2}{3} + \frac{4}{9} - \frac{8}{27} + d o t s$
208587	Simplify	(3x^2-2)+(5x^2+5x-1)	$(3 x^{2} - 2) + (5 x^{2} + 5 x - 1)$
208588	Find the Exact Value	sec(60 degrees )cot(30 degrees )	$\sec (60 °) \cot (30 °)$
208589	Solve for x	cube root of x+4 = cube root of 2x+3	$\sqrt[3]{x + 4} = \sqrt[3]{2 x + 3}$
208590	Find the x and y Intercepts	f(x)=(-2x)/3+2	$f (x) = \frac{- 2 x}{3} + 2$
208591	Solve for b	68=4+b^3	$68 = 4 + b^{3}$
208592	Simplify	n-(1-(n-(1-n)-1))	$n - (1 - (n - (1 - n) - 1))$
208593	Solve the Rational Equation for x	-8 square root of x-5=-16	$- 8 \sqrt{x - 5} = - 16$
208594	Evaluate	log base 4 of 8 log base 6 of 36- log base 3 of log base 5 of 5	$\log_{4} (8 \log_{6} (36)) - \log_{3} (\log_{5} (5))$
208595	Solve for x	2/5=30/(3x+9)	$\frac{2}{5} = \frac{30}{3 x + 9}$
208596	Simplify	9(3^-2)-(3^4)/(3^2)- square root of 2^6	$9 (3^{- 2}) - \frac{3^{4}}{3^{2}} - \sqrt{2^{6}}$
208597	Solve the Inequality for θ	tan(theta)<0	$\tan (θ) < 0$
208598	Evaluate	square root of (x-1)^2=1-x	$\sqrt{{(x - 1)}^{2}} = 1 - x$
208599	Solve for x	7(x+3)-3(x-2)=16(2x-3)+19	$7 (x + 3) - 3 (x - 2) = 16 (2 x - 3) + 19$
208600	Solve for x	(8x-1)(x^2-15)=0	$(8 x - 1) (x^{2} - 15) = 0$