Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
208501	Find the Degree, Leading Term, and Leading Coefficient	6x^2+1/8	$6 x^{2} + \frac{1}{8}$
208502	Simplify	3(3x^-1)^-1	$3 {(3 x^{- 1})}^{- 1}$
208503	Find the Degree, Leading Term, and Leading Coefficient	1/9+x	$\frac{1}{9} + x$
208504	Solve the Inequality for m	-9>=2/5m+7	$- 9 \geq \frac{2}{5} m + 7$
208505	Evaluate	x^3+40=25	$x^{3} + 40 = 25$
208506	Simplify	1/2q^4(4mn)q^-5	$\frac{1}{2} q^{4} (4 m n) q^{- 5}$
208507	Simplify	fourth root of 5^5* sixth root of 5^5	$\sqrt[4]{5^{5}} \cdot \sqrt[6]{5^{5}}$
208508	Find the Degree, Leading Term, and Leading Coefficient	-x^5+x^3-7	$- x^{5} + x^{3} - 7$
208509	Solve for y	x^2+(y-2)^2=4	$x^{2} + {(y - 2)}^{2} = 4$
208510	Multiply	(8-4x)(2x+6)	$(8 - 4 x) (2 x + 6)$
208511	Evaluate	(4c-3d)(3c+d)	$(4 c - 3 d) (3 c + d)$
208512	Simplify	square root of 49x* fourth root of 16x^2	$\sqrt{49 x} \cdot \sqrt[4]{16 x^{2}}$
208513	Evaluate the Function	h(t)=-20+11t	$h (t) = - 20 + 11 t$
208514	Multiply	m^8n*m^3n^5	$m^{8} n \cdot m^{3} n^{5}$
208515	Solve for x	3^x+3=30	$3^{x} + 3 = 30$
208516	Simplify	square root of (24x^6y)/(128x^4y^5)	$\sqrt{\frac{24 x^{6} y}{128 x^{4} y^{5}}}$
208517	Write in Slope-Intercept Form	-4=-2y	$- 4 = - 2 y$
208518	Graph Using a Table of Values	f(x)=5^(x-6)+5	$f (x) = 5^{x - 6} + 5$
208519	Simplify	((a-1)/a-a/(1+a))/((1+a)/a+a/(1-a))	$\frac{\frac{a - 1}{a} - \frac{a}{1 + a}}{\frac{1 + a}{a} + \frac{a}{1 - a}}$
208520	Combine Like Terms	3b+5ab+7ab-23b	$3 b + 5 a b + 7 a b - 23 b$
208521	Solve for x	3x+2=10-4(x-1)	$3 x + 2 = 10 - 4 (x - 1)$
208522	Find All Complex Solutions	square root of 5x+1- square root of x=5	$\sqrt{5 x + 1} - \sqrt{x} = 5$
208523	Solve for x	3x square root of 5=21 square root of 30	$3 x \sqrt{5} = 21 \sqrt{30}$
208524	Solve for x	1/(x-4)=3/2+2/(x-4)	$\frac{1}{x - 4} = \frac{3}{2} + \frac{2}{x - 4}$
208525	Graph	graph -8x-y=8	graph $- 8 x - y = 8$
208526	Simplify	2 square root of 3(3 square root of 3+4 square root of 3)	$2 \sqrt{3} (3 \sqrt{3} + 4 \sqrt{3})$
208527	Simplify	(32s^5w^2-24s^2w^3)/(8s^2w^2)	$\frac{32 s^{5} w^{2} - 24 s^{2} w^{3}}{8 s^{2} w^{2}}$
208528	Find the Roots (Zeros)	2cos(x-2pi)	$2 \cos (x - 2 π)$
208529	Multiply	- square root of 3*(- square root of 3)	$- \sqrt{3} \cdot (- \sqrt{3})$
208530	Multiply	3^-2*34	$3^{- 2} \cdot 34$
208531	Evaluate	3^-2*34	$3^{- 2} \cdot 34$
208532	Simplify/Condense	1/3(2 natural log of x+3+ natural log of x- natural log of x^2-1)	$\frac{1}{3} (2 \ln (x + 3) + \ln (x) - \ln (x^{2} - 1))$
208533	Solve Using the Quadratic Formula	8x^3-125=0	$8 x^{3} - 125 = 0$
208534	Solve for x	3(x+5)+6x=-3(1-3x)+18	$3 (x + 5) + 6 x = - 3 (1 - 3 x) + 18$
208535	Simplify	( square root of 1)/( square root of 4)	$\frac{\sqrt{1}}{\sqrt{4}}$
208536	Convert to Radical Form	5^(1/2)*5^(1/2)	$5^{\frac{1}{2}} \cdot 5^{\frac{1}{2}}$
208537	Evaluate	cube root of 500/pi	$\sqrt[3]{\frac{500}{π}}$
208538	Simplify	(x^(1/2)y^(2/3))/(x^(1/3)y^(1/2))	$\frac{x^{\frac{1}{2}} y^{\frac{2}{3}}}{x^{\frac{1}{3}} y^{\frac{1}{2}}}$
208539	Graph	5-x<2(x-3)+5	$5 - x < 2 (x - 3) + 5$
208540	Simplify	(8^3*8^2)/(8^5)	$\frac{8^{3} \cdot 8^{2}}{8^{5}}$
208541	Simplify	(5x^2y-10xy+15xy^2)/(5xy)	$\frac{5 x^{2} y - 10 x y + 15 x y^{2}}{5 x y}$
208542	Simplify the Radical Expression	( square root of 48x^9)/( square root of 6x^3)	$\frac{\sqrt{48 x^{9}}}{\sqrt{6 x^{3}}}$
208543	Simplify	(x^3+4x^2-x-4)/(x^2+3x-4)	$\frac{x^{3} + 4 x^{2} - x - 4}{x^{2} + 3 x - 4}$
208544	Solve for x	-1/4x-4+3/4x=1/2x+1	$- \frac{1}{4} x - 4 + \frac{3}{4} x = \frac{1}{2} x + 1$
208545	Evaluate	(2^3(3^2-2^0))/(2^3-3^2)	$\frac{2^{3} (3^{2} - 2^{0})}{(2^{3} - 3^{2})}$
208546	Solve for y	5x-y=1/4	$5 x - y = \frac{1}{4}$
208547	Solve for x	square root of x+9- square root of 2x-7=0	$\sqrt{x + 9} - \sqrt{2 x - 7} = 0$
208548	Solve for θ	1+2cot(theta)^2+cot(theta)^4=csc(theta)^n	$1 + 2 \cot^{2} (θ) + \cot^{4} (θ) = {\csc (θ)}^{n}$
208549	Evaluate	-2(-3/4+1/8)	$- 2 (- \frac{3}{4} + \frac{1}{8})$
208550	Solve for y	4/3y+2=4y-4	$\frac{4}{3} y + 2 = 4 y - 4$
208551	Simplify	( square root of 9x^2y^4)/(4x^(-3/2)y^4)	$\frac{\sqrt{9 x^{2} y^{4}}}{4 x^{- \frac{3}{2}} y^{4}}$
208552	Simplify the Radical Expression	square root of 49(x+2y)^10	$\sqrt{49 {(x + 2 y)}^{10}}$
208553	Simplify	-9x^2y^2+5x^2y-11xy+1+4xy-13x^2y+7	$- 9 x^{2} y^{2} + 5 x^{2} y - 11 x y + 1 + 4 x y - 13 x^{2} y + 7$
208554	Solve the Inequality for x	1/6<(2x-13)/12<=2/3	$\frac{1}{6} < \frac{2 x - 13}{12} \leq \frac{2}{3}$
208555	Find the Second Term	a_n=((n+4)!)/((n+5)!)	$a_{n} = \frac{(n + 4)!}{(n + 5)!}$
208556	Find the Exact Value	arctan(( square root of 3)/1)	$\arctan (\frac{\sqrt{3}}{1})$
208557	Simplify	w^-1(u^6v^-3w^-1)^-1	$w^{- 1} {(u^{6} v^{- 3} w^{- 1})}^{- 1}$
208558	Simplify	( square root of z square root of y square root of x)^8	${(\sqrt{z \sqrt{y \sqrt{x}}})}^{8}$
208559	Factor	4x^4+35x^2-9=0	$4 x^{4} + 35 x^{2} - 9 = 0$
208560	Solve the Inequality for x	31(2x+1)-12x>50x	$31 (2 x + 1) - 12 x > 50 x$
208561	Simplify	(6^7)/(6^8*6^-7)	$\frac{6^{7}}{6^{8} \cdot 6^{- 7}}$
208562	Find the Equation Using Slope-Intercept Form	point: (11,3) ; slope: 4/11	point: $(11, 3)$ ; slope: $\frac{4}{11}$
208563	Find the LCM	2x^2-18 and 5x^3+30x^2+45x	$2 x^{2} - 18$ and $5 x^{3} + 30 x^{2} + 45 x$
208564	Simplify	(8m^3nq^2)^2	${(8 m^{3} n q^{2})}^{2}$
208565	Simplify	(10^7)/(25^3)*5/32	$\frac{10^{7}}{25^{3}} \cdot \frac{5}{32}$
208566	Simplify	(7y-5)/(12y)-(10y-19)/(12y)+(10-15y)/(12y)	$\frac{7 y - 5}{12 y} - \frac{10 y - 19}{12 y} + \frac{10 - 15 y}{12 y}$
208567	Simplify	4/5+5/4-1 1/20	$\frac{4}{5} + \frac{5}{4} - 1 \frac{1}{20}$
208568	Divide Using Long Polynomial Division	(3a^3-15a^2b+12ab^2)/(3a^2b)	$\frac{3 a^{3} - 15 a^{2} b + 12 a b^{2}}{3 a^{2} b}$
208569	Write the Fraction in Simplest Form	((-5p^-2)^3)/(-4p^-1)	$\frac{{(- 5 p^{- 2})}^{3}}{- 4 p^{- 1}}$
208570	Solve Using the Quadratic Formula	4(4x-3)^2-10=26	$4 {(4 x - 3)}^{2} - 10 = 26$
208571	Evaluate	(1/2)/(1/2+1)-1	$\frac{\frac{1}{2}}{\frac{1}{2} + 1} - 1$
208572	Evaluate	((- square root of 3)/2)÷(1/2)	$\frac{- \sqrt{3}}{2} \div \frac{1}{2}$
208573	Solve for x	9^(2x+1)-2*3^(4x-1)=225	$9^{2 x + 1} - 2 \cdot 3^{4 x - 1} = 225$
208574	Solve for x	(3x+7)/(x+8)-(2x)/(x-2)=2/(x^2+6x-16)	$\frac{3 x + 7}{x + 8} - \frac{2 x}{x - 2} = \frac{2}{x^{2} + 6 x - 16}$
208575	Simplify	(15a^3b^4c^2)/(3a^2bc^4)	$\frac{15 a^{3} b^{4} c^{2}}{3 a^{2} b c^{4}}$
208576	Solve for x	5/6=(7x+9)/9	$\frac{5}{6} = \frac{7 x + 9}{9}$
208577	Evaluate	1/5*(1/3)^3	$\frac{1}{5} \cdot {(\frac{1}{3})}^{3}$
208578	Simplify	( square root of w^11)/( cube root of w^8)	$\frac{\sqrt{w^{11}}}{\sqrt[3]{w^{8}}}$
208579	Write as a Single Logarithm	5* log base 8 of c^3d^2+3* log base 8 of cd^7	$5 \cdot \log_{8} (c^{3} d^{2}) + 3 \cdot \log_{8} (c d^{7})$
208580	Evaluate	f(-3)=0.5^-3	$f (- 3) = {0.5}^{- 3}$
208581	Find the Inverse	y=4+ cube root of x-4	$y = 4 + \sqrt[3]{x - 4}$
208582	Factor	x^3-3x^2-10x-x^2+3x+10=0	$x^{3} - 3 x^{2} - 10 x - x^{2} + 3 x + 10 = 0$
208583	Solve for w	-5w+12w+9=4w+42	$- 5 w + 12 w + 9 = 4 w + 42$
208584	Evaluate	1÷(-( square root of 2)/2)	$1 \div (- \frac{\sqrt{2}}{2})$
208585	Describe the Transformation	f(x)=6(1/3)^x	$f (x) = 6 {(\frac{1}{3})}^{x}$
208586	Solve the System of Inequalities	y<2x-4 y>2x+1	$y < 2 x - 4$ $y > 2 x + 1$
208587	Simplify	square root of 49x* fourth root of 16x^6	$\sqrt{49 x} \cdot \sqrt[4]{16 x^{6}}$
208588	Subtract	1/(x^2+3x-4)-1/(x^2-3x+2)	$\frac{1}{x^{2} + 3 x - 4} - \frac{1}{x^{2} - 3 x + 2}$
208589	Write in Exponential Form	square root of 5* cube root of 5	$\sqrt{5} \cdot \sqrt[3]{5}$
208590	Simplify	2x^2+3y-4+4x^2-7+y	$2 x^{2} + 3 y - 4 + 4 x^{2} - 7 + y$
208591	Solve for p	s=p+i	$s = p + i$
208592	Solve the Inequality for x	4- square root of 2x+1<1	$4 - \sqrt{2 x + 1} < 1$
208593	Simplify	2x cube root of 24x+5 cube root of 81x^4	$2 x \sqrt[3]{24 x} + 5 \sqrt[3]{81 x^{4}}$
208594	Simplify	(1/(625^(-3/4)))	$(\frac{1}{625^{- \frac{3}{4}}})$
208595	Find the Degree, Leading Term, and Leading Coefficient	f(x)=7-x	$f (x) = 7 - x$
208596	Evaluate	3^(2a)=3^(-a)	$3^{2 a} = 3^{- a}$
208597	Simplify	(6x^3+2x^2-4x)+(3x^2-7x+1)+(2x^3-5x^2+8x-7)	$(6 x^{3} + 2 x^{2} - 4 x) + (3 x^{2} - 7 x + 1) + (2 x^{3} - 5 x^{2} + 8 x - 7)$
208598	Write in Standard Form	9p^3q^4(3p^3-5q)	$9 p^{3} q^{4} (3 p^{3} - 5 q)$
208599	Solve for x	1/8x^3+1 1/2x=3/4x^2+1	$\frac{1}{8} x^{3} + 1 \frac{1}{2} x = \frac{3}{4} x^{2} + 1$
208600	Find the Product	-a^2b^2c^2(a+b-c)	$- a^{2} b^{2} c^{2} (a + b - c)$