Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
177501	Simplify	(64u^3+8)/(16u^2-4)	$\frac{64 u^{3} + 8}{16 u^{2} - 4}$
177502	Graph	f(x)=3x+7 if x<=-1; 3x-1 if x>2	$f (x) = {\begin{cases} 3 x + 7 & x \leq - 1 \\ 3 x - 1 & x > 2 \end{cases}$
177503	Solve for x	(8(x-1))/(x^2-4)=4/(x+2)	$\frac{8 (x - 1)}{x^{2} - 4} = \frac{4}{x + 2}$
177504	Factor	2a(x+y)+b(x+y)	$2 a (x + y) + b (x + y)$
177505	Write in Standard Form	6-12x=(x-6)^2	$6 - 12 x = {(x - 6)}^{2}$
177506	Simplify	(-243)^(-3/5)	${(- 243)}^{- \frac{3}{5}}$
177507	Find the x and y Intercepts	r(x)=(2x+8)/(-8x+4)	$r (x) = \frac{2 x + 8}{- 8 x + 4}$
177508	Find the Domain and Range	y=1+1/(x^2)	$y = 1 + \frac{1}{x^{2}}$
177509	Simplify	(9^7)^(3/14)	${(9^{7})}^{\frac{3}{14}}$
177510	Multiply	(y^2-4x^2)(y^2+4x^2)	$(y^{2} - 4 x^{2}) (y^{2} + 4 x^{2})$
177511	Evaluate	log base 4 of x+8+ log base 4 of x+5=1	$\log_{4} (x + 8) + \log_{4} (x + 5) = 1$
177512	Solve the Inequality for x	(x-1)/(x+3)<=0	$\frac{x - 1}{x + 3} \leq 0$
177513	Solve the Inequality for m	26+m>=5(-6+3m)	$26 + m \geq 5 (- 6 + 3 m)$
177514	Graph Using a Table of Values	y=x^2-2x+3	$y = x^{2} - 2 x + 3$
177515	Find q(r(x))	q(x)=x^2+5 r(x) = square root of x+3	$q (x) = x^{2} + 5$ $r (x) = \sqrt{x + 3}$
177516	Solve by Addition/Elimination	-4y-11x=36 20=-10x-10y	$- 4 y - 11 x = 36$ $20 = - 10 x - 10 y$
177517	Graph	f(x)=6x+15 if x<-3; 5x-6 if x>1	$f (x) = {\begin{cases} 6 x + 15 & x < - 3 \\ 5 x - 6 & x > 1 \end{cases}$
177518	Solve for x	(x+7)/(x+1)=6/x	$\frac{x + 7}{x + 1} = \frac{6}{x}$
177519	Graph	y>=4x^2	$y \geq 4 x^{2}$
177520	Graph	f(x)=x^3-3x^2+x-3	$f (x) = x^{3} - 3 x^{2} + x - 3$
177521	Evaluate	f(0)=3^0	$f (0) = 3^{0}$
177522	Simplify	(4x^4+y^2)^2	${(4 x^{4} + y^{2})}^{2}$
177523	Find All Complex Solutions	sec(theta)-1=0	$\sec (θ) - 1 = 0$
177524	Find the Roots (Zeros)	-3x+19=-x^2+1	$- 3 x + 19 = - x^{2} + 1$
177525	Simplify the Radical Expression	3/( square root of 5)	$\frac{3}{\sqrt{5}}$
177526	Evaluate	3^33^43	$3^{3} \cdot 3^{4} \cdot 3$
177527	Simplify	(-4+x)/(x-4)	$\frac{- 4 + x}{x - 4}$
177528	Solve the Inequality for t	-6t-3<-2t-19	$- 6 t - 3 < - 2 t - 19$
177529	Write in Standard Form	-5x^2+60x+7y^2+84y+72=0	$- 5 x^{2} + 60 x + 7 y^{2} + 84 y + 72 = 0$
177530	Factor	f^(3m)-g^(6n)	$f^{3 m} - g^{6 n}$
177531	Solve for a	x^(5/3)x^2=x^a	$x^{\frac{5}{3}} x^{2} = x^{a}$
177532	Simplify	(3/(x+2))/((6x+9)/(x^2-2x-8))	$\frac{\frac{3}{x + 2}}{\frac{6 x + 9}{x^{2} - 2 x - 8}}$
177533	Evaluate	log base 3 of x=3	$\log_{3} (x) = 3$
177534	Find the Degree, Leading Term, and Leading Coefficient	f(x)=(x+4)^2(x-3)^3(x-2)	$f (x) = {(x + 4)}^{2} {(x - 3)}^{3} (x - 2)$
177535	Solve for m	4m+2=4(1/2m-1/4)	$4 m + 2 = 4 (\frac{1}{2} m - \frac{1}{4})$
177536	Solve the System of Inequalities	6v+38<=-4 or 2(v+3)>=-2	$6 v + 38 \leq - 4$ or $2 (v + 3) \geq - 2$
177537	Describe the Transformation	y=f(x)-5	$y = f (x) - 5$
177538	Graph	y<\|x\|+1	$y < \| x \| + 1$
177539	Solve for x	log of x+1=-x^2+10	$\log (x + 1) = - x^{2} + 10$
177540	Find the Exact Value	cos(120 degrees )^2-sin(120 degrees )^2	$\cos^{2} (120 °) - \sin^{2} (120 °)$
177541	Solve for w	p=2(1+w)	$p = 2 (1 + w)$
177542	Write in Standard Form	x^2-64=0	$x^{2} - 64 = 0$
177543	Find the Excluded Values	(8q+8)/(3q^2-q-14)	$\frac{8 q + 8}{3 q^{2} - q - 14}$
177544	Graph	f(x)=x+1 if x<=-4; -2 if -4=5	$f (x) = {\begin{cases} x + 1 & x \leq - 4 \\ - 2 & - 4 = 5 \end{cases}$
177545	Factor	(18x^4+12x^3-6x)	$(18 x^{4} + 12 x^{3} - 6 x)$
177546	Graph	y=x^2e^(-x)	$y = x^{2} e^{- x}$
177547	Find the First Term	n+2	$n + 2$
177548	Solve for y	5(2-y)+y=-6	$5 (2 - y) + y = - 6$
177549	Simplify	3/(n^2-9)+7/(3-n)	$\frac{3}{n^{2} - 9} + \frac{7}{3 - n}$
177550	Find a,b,c	5x=(2x+1)^2	$5 x = {(2 x + 1)}^{2}$
177551	Simplify	(x-1)/(5(x-1)^2)	$\frac{x - 1}{5 {(x - 1)}^{2}}$
177552	Simplify	4(3+1/4c-1/2d)	$4 (3 + \frac{1}{4} c - \frac{1}{2} d)$
177553	Simplify	(5ab)*(-2a^2b)^3	$(5 a b) \cdot {(- 2 a^{2} b)}^{3}$
177554	Simplify	square root of 5 square root of 5	$\sqrt{5} \sqrt{5}$
177555	Find the Exact Value	sin(60 degrees +45 degrees )	$\sin (60 ° + 45 °)$
177556	Find the Holes in the Graph	f(x)=x/(x-2)	$f (x) = \frac{x}{x - 2}$
177557	Find the Exact Value	sin(480 degrees )	$\sin (480 °)$
177558	Solve for a	( cube root of x^5)/((x^5)^(1/3))=x^a	$\frac{\sqrt[3]{x^{5}}}{{(x^{5})}^{\frac{1}{3}}} = x^{a}$
177559	Solve for x	5-2/(x-8)=x	$5 - \frac{2}{x - 8} = x$
177560	Find the Equation of the Circle	Center (-3,-4) , r=5	Center $(- 3, - 4)$ , $r = 5$
177561	Find All Complex Solutions	sin(theta)+cos(theta)tan(theta)^2=0	$\sin (θ) + \cos (θ) \tan^{2} (θ) = 0$
177562	Solve for s	2/3s+5/6s=21	$\frac{2}{3} s + \frac{5}{6} s = 21$
177563	Simplify	(x^4+x^3)/(x^2+3x+2)*(15x^2-60)/(15x^5-75x^4+90x^3)	$\frac{x^{4} + x^{3}}{x^{2} + 3 x + 2} \cdot \frac{15 x^{2} - 60}{15 x^{5} - 75 x^{4} + 90 x^{3}}$
177564	Solve for s	-s=4(1/2s+4)	$- s = 4 (\frac{1}{2} s + 4)$
177565	Solve for θ	square root of 2sin(theta)^2+sin(theta)=0	$\sqrt{2} \sin^{2} (θ) + \sin (θ) = 0$
177566	Simplify the Radical Expression	fourth root of 32	$\sqrt[4]{32}$
177567	Solve for X	W=XYZ for X	$W = X Y Z$ for $X$
177568	Write in Standard Form	square root of -75	$\sqrt{- 75}$
177569	Simplify	3(4x-2y)-2(3x+y)	$3 (4 x - 2 y) - 2 (3 x + y)$
177570	Graph	x^2(x-3)	$x^{2} (x - 3)$
177571	Solve for x	3xy+x=y-6	$3 x y + x = y - 6$
177572	Multiply	(k+3)/(4k-2)*(12k^2-3)	$\frac{k + 3}{4 k - 2} \cdot (12 k^{2} - 3)$
177573	Graph	y>-2x-7 y<=x+5	$y > - 2 x - 7$ $y \leq x + 5$
177574	Simplify	cube root of y(8 cube root of y^2+ cube root of y^5- cube root of 27y^2)	$\sqrt[3]{y} (8 \sqrt[3]{y^{2}} + \sqrt[3]{y^{5}} - \sqrt[3]{27 y^{2}})$
177575	Solve for x	18=6x+x(x-13)	$18 = 6 x + x (x - 13)$
177576	Factor	2a^2x+2ax+2x-a^2-a-1	$2 a^{2} x + 2 a x + 2 x - a^{2} - a - 1$
177577	Find the Product	(3x-2y)^3	${(3 x - 2 y)}^{3}$
177578	Solve the Inequality for x	-2/(7-x)>=1/(x+1)	$\frac{- 2}{7 - x} \geq \frac{1}{x + 1}$
177579	Solve for x	f(x-1)=2x+3	$f (x - 1) = 2 x + 3$
177580	Solve for x	x+(3x)/(x+2)=2	$x + \frac{3 x}{x + 2} = 2$
177581	Simplify	(a+b)/(a^2b)+(a-b)/(ab^2)	$\frac{a + b}{a^{2} b} + \frac{a - b}{a b^{2}}$
177582	Simplify	( square root of 9-x^2)÷( square root of 3-x)	$\sqrt{9 - x^{2}} \div \sqrt{3 - x}$
177583	Divide	5 1/2÷(3/4)	$5 \frac{1}{2} \div \frac{3}{4}$
177584	Convert to a Decimal	-210deg	$- 210$ degrees
177585	Write in Standard Form	-5p^5+2p^2-3p+1	$- 5 p^{5} + 2 p^{2} - 3 p + 1$
177586	Solve the Absolute Value Inequality for x	\|x-12\|-3=11	$\| x - 12 \| - 3 = 11$
177587	Simplify	(9^(3n)y^(m+4))/(9^(2n)y^m)	$\frac{9^{3 n} y^{m + 4}}{9^{2 n} y^{m}}$
177588	Graph	3x>=-12	$3 x \geq - 12$
177589	Solve the Inequality for a	a-2>4	$a - 2 > 4$
177590	Simplify	2a^-5b^6*5a^2b^2	$2 a^{- 5} b^{6} \cdot 5 a^{2} b^{2}$
177591	Find the Equation Using Point-Slope Formula	Slope=1/2 ; passing through the origin	$S l o p e = \frac{1}{2}$ ; passing through the origin
177592	Solve for x	1/(x-3)+x/(x-6)=(3x)/(x^2-9x+18)	$\frac{1}{x - 3} + \frac{x}{x - 6} = \frac{3 x}{x^{2} - 9 x + 18}$
177593	Graph	-x+4y<=-16 -3x+y<2	$- x + 4 y \leq - 16$ $- 3 x + y < 2$
177594	Find the Sum and Product of the Roots of the Quadratic Equation	x^2+2x-5=0	$x^{2} + 2 x - 5 = 0$
177595	Solve the System of Equations	y=x-4 x+2y=16	$y = x - 4$ $x + 2 y = 16$
177596	Evaluate	(x^2-5)^2-5	${(x^{2} - 5)}^{2} - 5$
177597	Solve for t	20=100(1/2)^(t/214)	$20 = 100 {(\frac{1}{2})}^{\frac{t}{214}}$
177598	Solve for w	24w-2w-30w-47w=-55	$24 w - 2 w - 30 w - 47 w = - 55$
177599	Graph	y<=x y>=6-x	$y \leq x$ $y \geq 6 - x$
177600	Graph	(2,(5pi)/3)	$(2, \frac{5 π}{3})$