Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
194601	Factor	x^4-4x^3-x^2+16x-12	$x^{4} - 4 x^{3} - x^{2} + 16 x - 12$
194602	Simplify	(3x-5)^2+(5x+2)^2	${(3 x - 5)}^{2} + {(5 x + 2)}^{2}$
194603	Find the Exact Value	(7-2+4)-(2-5)	$(7 - 2 + 4) - (2 - 5)$
194604	Solve for w	A=lw for w	$A = l w$ for $w$
194605	Graph	y=(3x-1)^2	$y = {(3 x - 1)}^{2}$
194606	Solve for x	(-x)/7=7/(-x)	$\frac{- x}{7} = \frac{7}{- x}$
194607	Solve for t	t=2-2(2t-3(1-t))	$t = 2 - 2 (2 t - 3 (1 - t))$
194608	Write in Standard Form	x^2+y^2-2/3x-3y+2=0	$x^{2} + y^{2} - \frac{2}{3} x - 3 y + 2 = 0$
194609	Solve for B	S=Ph+2B	$S = P h + 2 B$
194610	Solve the Absolute Value Inequality for x	\|4x-8\|-2=2x	$\| 4 x - 8 \| - 2 = 2 x$
194611	Find the Degree, Leading Term, and Leading Coefficient	-9x+x^2+1/9x^4-3	$- 9 x + x^{2} + \frac{1}{9} x^{4} - 3$
194612	Rationalize the Numerator	( square root of a- square root of b)/(a^2-b^2)	$\frac{\sqrt{a} - \sqrt{b}}{a^{2} - b^{2}}$
194613	Simplify	(4-x)/(x^2-3x)	$\frac{4 - x}{x^{2} - 3 x}$
194614	Solve for x	(x+1)^2-2=2/x	${(x + 1)}^{2} - 2 = \frac{2}{x}$
194615	Solve the Inequality for x	x^2<=4x+12	$x^{2} \leq 4 x + 12$
194616	Simplify	(2x-3xy)(xy^2+2xy-3x)	$(2 x - 3 x y) (x y^{2} + 2 x y - 3 x)$
194617	Solve for x	11x=8x-3(5-2x)	$11 x = 8 x - 3 (5 - 2 x)$
194618	Evaluate	8z-5z(4z-2(3z-6))-7z(-5z+3)	$8 z - 5 z (4 z - 2 (3 z - 6)) - 7 z (- 5 z + 3)$
194619	Simplify	15(f+1/3)	$15 (f + \frac{1}{3})$
194620	Solve for x	1/3x+5/6x-2=-x	$\frac{1}{3} x + \frac{5}{6} x - 2 = - x$
194621	Find the x and y Intercepts	(-x^2+5x)/(2x^2)	$\frac{- x^{2} + 5 x}{2 x^{2}}$
194622	Find All Complex Solutions	-2cos(x)^2=3cos(x)+1	$- 2 \cos^{2} (x) = 3 \cos (x) + 1$
194623	Divide	(5/2)÷(-4/5)	$\frac{5}{2} \div (- \frac{4}{5})$
194624	Simplify	(z^2+11z+30)/(z^2+z-20)-(z^2+2z-24)/(z^2+9z+18)	$\frac{z^{2} + 11 z + 30}{z^{2} + z - 20} - \frac{z^{2} + 2 z - 24}{z^{2} + 9 z + 18}$
194625	Solve by Factoring	cube root of 64=4	$\sqrt[3]{64} = 4$
194626	Solve the Inequality for x	x/3>=1-x/9	$\frac{x}{3} \geq 1 - \frac{x}{9}$
194627	Solve the System of Equations	x+3y=5 x+4y=6	$x + 3 y = 5$ $x + 4 y = 6$
194628	Simplify	3/(a-5)+(a+2)/a	$\frac{3}{a - 5} + \frac{a + 2}{a}$
194629	Solve the System of Inequalities	-2<8-2x<=-1	$- 2 < 8 - 2 x \leq - 1$
194630	Solve for x	(x-4)/5=(x-2)/3-(x-3)/4	$\frac{x - 4}{5} = \frac{x - 2}{3} - \frac{(x - 3)}{4}$
194631	Divide	(-10+14i)/(-11+11i)	$\frac{- 10 + 14 i}{- 11 + 11 i}$
194632	Find the End Behavior	f(x)=432x+4x^4-44x^3-864+72x^2	$f (x) = 432 x + 4 x^{4} - 44 x^{3} - 864 + 72 x^{2}$
194633	Multiply	x*x^-1	$x \cdot x^{- 1}$
194634	Find All Complex Solutions	(x+4)^2-2=7	${(x + 4)}^{2} - 2 = 7$
194635	Simplify	x square root of 8	$x \sqrt{8}$
194636	Solve for x	e^(x/2)=4	$e^{\frac{x}{2}} = 4$
194637	Solve for x	-1-(3x-1/2)=-6/5(x-1)+5x	$- 1 - (3 x - \frac{1}{2}) = - \frac{6}{5} (x - 1) + 5 x$
194638	Solve for m	-3\|9m+2\|+10=10	$- 3 \| 9 m + 2 \| + 10 = 10$
194639	Solve for x	x^5-5x^3+4x=0	$x^{5} - 5 x^{3} + 4 x = 0$
194640	Solve the System of Inequalities	11<5+6k<35	$11 < 5 + 6 k < 35$
194641	Solve for x	square root of x=x^3	$\sqrt{x} = x^{3}$
194642	Simplify	(9(x+2)(x+3))/(15(x+3)(x-5))	$\frac{9 (x + 2) (x + 3)}{15 (x + 3) (x - 5)}$
194643	Find the Holes in the Graph	f(x)=(x^2+2x)/(-4x+8)	$f (x) = \frac{x^{2} + 2 x}{- 4 x + 8}$
194644	Simplify	-3x^2(6xy-2x^3y^2z)	$- 3 x^{2} (6 x y - 2 x^{3} y^{2} z)$
194645	Simplify	-6+3m+2-m+8	$- 6 + 3 m + 2 - m + 8$
194646	Solve for x	5/4x+1/2=2x-1/2	$\frac{5}{4} x + \frac{1}{2} = 2 x - \frac{1}{2}$
194647	Multiply	((x^2-2x-24)/(x^2-5x+6))*((x-3)/(x-6))	$(\frac{x^{2} - 2 x - 24}{x^{2} - 5 x + 6}) \cdot (\frac{x - 3}{x - 6})$
194648	Solve the System of Inequalities	-3b-5<-8 or b-4<=0	$- 3 b - 5 < - 8$ or $b - 4 \leq 0$
194649	Graph	y=1/2sin(x-pi)	$y = \frac{1}{2} \sin (x - π)$
194650	Evaluate	square root of 1-0	$\sqrt{1 - 0}$
194651	Solve by Factoring	(x+2)(x-2)-3x=0	$(x + 2) (x - 2) - 3 x = 0$
194652	Solve for x	4^x+2^x=6	$4^{x} + 2^{x} = 6$
194653	Evaluate	1/(cos(0))	$\frac{1}{\cos (0)}$
194654	Solve for x	6+4/x=-5	$6 + \frac{4}{x} = - 5$
194655	Simplify	2(18-(5+3^2)÷7)	$2 (18 - (5 + 3^{2}) \div 7)$
194656	Evaluate	45% of 80	$45 %$ of $80$
194657	Solve for x	-3/2-(3/2x+1)=3	$- \frac{3}{2} - (\frac{3}{2} x + 1) = 3$
194658	Graph	x>-3 and y>=-x	$x > - 3$ and $y \geq - x$
194659	Graph	a(x) = square root of x+1-4	$a (x) = \sqrt{x + 1} - 4$
194660	Evaluate	5y+3>-7y+13	$5 y + 3 > - 7 y + 13$
194661	Solve for x	7/(x+7)+(3x)/(x-7)=(2x+7)/(x-7)	$\frac{7}{x + 7} + \frac{3 x}{x - 7} = \frac{2 x + 7}{x - 7}$
194662	Multiply	(a+b-c)(a-b+c)	$(a + b - c) (a - b + c)$
194663	Evaluate	pi*1	$π \cdot 1$
194664	Determine if Linear	2x+3y=9xy	$2 x + 3 y = 9 x y$
194665	Solve for x	fourth root of 5x-4=1	$\sqrt[4]{5 x} - 4 = 1$
194666	Solve for x	(x+4)/(x^2-1)-5=1/(x-1)	$\frac{x + 4}{x^{2} - 1} - 5 = \frac{1}{x - 1}$
194667	Solve for x	-1/2x-1/2(9x+4)+7/4=-(-x+1)	$- \frac{1}{2} x - \frac{1}{2} (9 x + 4) + \frac{7}{4} = - (- x + 1)$
194668	Simplify	9/16p^7*(-1 1/3p^4)	$\frac{9}{16} p^{7} \cdot (- 1 \frac{1}{3} p^{4})$
194669	Simplify	10/( square root of 50)	$\frac{10}{\sqrt{50}}$
194670	Solve for h	6h+4=-2+5h	$6 h + 4 = - 2 + 5 h$
194671	Simplify	((x^-3x^2)/(x^3x^-2))^2	${(\frac{x^{- 3} x^{2}}{x^{3} x^{- 2}})}^{2}$
194672	Graph	-2(x-3)^2(x^2-1)	$- 2 {(x - 3)}^{2} (x^{2} - 1)$
194673	Solve the Inequality for x	2/(x+1)>=1/(x-2)	$\frac{2}{x + 1} \geq \frac{1}{x - 2}$
194674	Graph	graph y=5	graph $y = 5$
194675	Find f(g(x))	f(x)=5x-9 and g(x)=(x+5)/9	$f (x) = 5 x - 9$ and $g (x) = \frac{x + 5}{9}$
194676	Solve for r	(-2,r) , (6,7) , m=1/2	$(- 2, r)$ , $(6, 7)$ , $m = \frac{1}{2}$
194677	Simplify	6/( square root of 3- square root of 2)	$\frac{6}{\sqrt{3} - \sqrt{2}}$
194678	Find the LCM	12 and 16	$12$ and $16$
194679	Simplify	(2 square root of 27)*(3 square root of 32)	$(2 \sqrt{27}) \cdot (3 \sqrt{32})$
194680	Simplify	4x+4y^2+y^2+9+10+x+3x	$4 x + 4 y^{2} + y^{2} + 9 + 10 + x + 3 x$
194681	Convert to Interval Notation	x<=0 or x>=10	$x \leq 0$ or $x \geq 10$
194682	Find the x and y Intercepts	m(x)=-1/10(x+3)(x-3)(x+1)^3	$m (x) = - \frac{1}{10} (x + 3) (x - 3) {(x + 1)}^{3}$
194683	Evaluate	( square root of 9)^2+5	${(\sqrt{9})}^{2} + 5$
194684	Simplify	(x+5)/(x+10)-(x+3)/(x+10)	$\frac{x + 5}{x + 10} - \frac{x + 3}{x + 10}$
194685	Factor	x^3-x^2-x+1=0	$x^{3} - x^{2} - x + 1 = 0$
194686	Solve for y	y=(1)^2	$y = {(1)}^{2}$
194687	Find the Distance Between Two Points	(-3,6) and (-9,-2)	$(- 3, 6)$ and $(- 9, - 2)$
194688	Solve for x	square root of x=6-x	$\sqrt{x} = 6 - x$
194689	Solve the System of Equations	-4y-11x=36 20=-10x-10y	$- 4 y - 11 x = 36$ $20 = - 10 x - 10 y$
194690	Graph	x-2y	$x - 2 y$
194691	Solve for x	3/(x+1)-x/(x+4)=(3x)/(x^2+5x+4)	$\frac{3}{x + 1} - \frac{x}{x + 4} = \frac{3 x}{x^{2} + 5 x + 4}$
194692	Solve for k	2x^2+kx+2=0	$2 x^{2} + k x + 2 = 0$
194693	Solve for x	2^(4x+1)<=512	$2^{4 x + 1} \leq 512$
194694	Solve for k	square root of 8k=k	$\sqrt{8 k} = k$
194695	Graph	y<=\|2x-1\|	$y \leq \| 2 x - 1 \|$
194696	Solve for n	-3(m-2n-4)=-9	$- 3 (m - 2 n - 4) = - 9$
194697	Solve the Inequality for w	1-7/6w<=9/4-5/6w	$1 - \frac{7}{6} w \leq \frac{9}{4} - \frac{5}{6} w$
194698	Simplify	(x^4-81)/(2x^2-12x+18)	$\frac{x^{4} - 81}{2 x^{2} - 12 x + 18}$
194699	Solve for z	(11z)/16+(7z)/8=5/16	$\frac{11 z}{16} + \frac{7 z}{8} = \frac{5}{16}$
194700	Find the LCD	3/(4x+8) and 5/(6x)	$\frac{3}{4 x + 8}$ and $\frac{5}{6 x}$