Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
194501	Solve the Inequality for x	2/(x^2+x)<1	$\frac{2}{x^{2} + x} < 1$
194502	Solve for x	2/3(6x+30)=x+5(x+4)-2x	$\frac{2}{3} (6 x + 30) = x + 5 (x + 4) - 2 x$
194503	Solve for r	3/(r-4)=2/(5r)	$\frac{3}{r - 4} = \frac{2}{5 r}$
194504	Graph	y<=3x+2 and y>=2x+3	$y \leq 3 x + 2$ and $y \geq 2 x + 3$
194505	Solve for x	x=-1/2x+1/2(-3/2x+9)+1	$x = - \frac{1}{2} x + \frac{1}{2} (- \frac{3}{2} x + 9) + 1$
194506	Find the Holes in the Graph	(-5x+15)/(3x-9)	$\frac{- 5 x + 15}{3 x - 9}$
194507	Solve the System of Equations	2y-2x=2 2y-2x=6	$2 y - 2 x = 2$ $2 y - 2 x = 6$
194508	Evaluate	(\|-1\|)/-1	$\frac{\| - 1 \|}{- 1}$
194509	Complete the Square	x^2=6x+1	$x^{2} = 6 x + 1$
194510	Solve for x	16x^4+16x^3+4x^2=0	$16 x^{4} + 16 x^{3} + 4 x^{2} = 0$
194511	Evaluate	1+-1/2	$1 + - \frac{1}{2}$
194512	Find the Exact Value	cos(2)(150 degrees )	$\cos (2) (150 °)$
194513	Evaluate	7^2-46+17÷2	$7^{2} - 46 + 17 \div 2$
194514	Find the Quotient	(2x^4-3x^3-6x^2+11x+8)÷(x-2)	$(2 x^{4} - 3 x^{3} - 6 x^{2} + 11 x + 8) \div (x - 2)$
194515	Factor	225+5m^2+m^4	$225 + 5 m^{2} + m^{4}$
194516	Solve for h	2/5h+g=d	$\frac{2}{5} h + g = d$
194517	Graph	2x^2+3x+y+1=0	$2 x^{2} + 3 x + y + 1 = 0$
194518	Simplify	(-2)^2-3*-2+1	${(- 2)}^{2} - 3 \cdot - 2 + 1$
194519	Solve for x	3/(x-1)+(2x+3)/(x+5)=(3x)/(x-1)	$\frac{3}{x - 1} + \frac{2 x + 3}{x + 5} = \frac{3 x}{x - 1}$
194520	Write the Fraction in Simplest Form	(4x^3y^4)/(-8xy^2)	$\frac{4 x^{3} y^{4}}{- 8 x y^{2}}$
194521	Subtract	(4c+1)-(5ab+d)	$(4 c + 1) - (5 a b + d)$
194522	Solve for x	\|x+4\|+\|2x-1\|>12	$\| x + 4 \| + \| 2 x - 1 \| > 12$
194523	Find the x and y Intercepts	f(x)=(x^2)/(x^2-x-6)	$f (x) = \frac{x^{2}}{x^{2} - x - 6}$
194524	Solve for d	-2\|3d\|=4	$- 2 \| 3 d \| = 4$
194525	Simplify	11*(2c+3d)	$11 \cdot (2 c + 3 d)$
194526	Graph Using a Table of Values	y = natural log of x	$y = \ln (x)$
194527	Find f(g(x))	f(x)=2x-7 , g(x)=(x+7)/2	$f (x) = 2 x - 7$ , $g (x) = \frac{x + 7}{2}$
194528	Graph	y>=-2\|x+1\|+3	$y \geq - 2 \| x + 1 \| + 3$
194529	Solve for x	\|1/2x+1\|=5	$\| \frac{1}{2} x + 1 \| = 5$
194530	Find the Equation Using Two Points	(1,4) and (3,5)	$(1, 4)$ and $(3, 5)$
194531	Factor	(x^2-2x-3)/(x-3)	$\frac{x^{2} - 2 x - 3}{x - 3}$
194532	Find the Distance Between Two Points	(-3,-11) and (8,-42)	$(- 3, - 11)$ and $(8, - 42)$
194533	Find All Complex Solutions	(x+4)/(x-1)=(-x^2+3x+12)/((x+3)(x-1))	$\frac{x + 4}{x - 1} = \frac{- x^{2} + 3 x + 12}{(x + 3) (x - 1)}$
194534	Solve for x	6x+3-6x=3	$6 x + 3 - 6 x = 3$
194535	Divide	((x+3)/12)÷((9x+27)/24)	$\frac{x + 3}{12} \div \frac{9 x + 27}{24}$
194536	Simplify	square root of (x^2+1)-1	$\sqrt{(x^{2} + 1) - 1}$
194537	Solve for x	square root of x^2-5+7=5	$\sqrt{x^{2} - 5} + 7 = 5$
194538	Find the Roots (Zeros)	4x^2=8x-7	$4 x^{2} = 8 x - 7$
194539	Solve the Inequality for x	3x-7(x+3)<-13	$3 x - 7 (x + 3) < - 13$
194540	Factor	(x/2+y/3)^3+(x/3-y/2)^3	${(\frac{x}{2} + \frac{y}{3})}^{3} + {(\frac{x}{3} - \frac{y}{2})}^{3}$
194541	Solve for x	-x/3-1/4x=14	$- \frac{x}{3} - \frac{1}{4} x = 14$
194542	Rationalize the Denominator	( square root of 4)/( square root of 5)	$\frac{\sqrt{4}}{\sqrt{5}}$
194543	Solve for x	-2(2-2x)-4(x+5)<=-24	$- 2 (2 - 2 x) - 4 (x + 5) \leq - 24$
194544	Write in Standard Form	(x+y)(x-y)	$(x + y) (x - y)$
194545	Solve for x	-(-x+1)-9=6(-3/4x+1/4)+1	$- (- x + 1) - 9 = 6 (- \frac{3}{4} x + \frac{1}{4}) + 1$
194546	Solve for x	5\|2x+4\|-3=-3	$5 \| 2 x + 4 \| - 3 = - 3$
194547	Find the Quadratic Equation Given the Roots	5 and -1	$5$ and $- 1$
194548	Evaluate	6-3/4x+1/3=1/2x+5	$6 - \frac{3}{4} x + \frac{1}{3} = \frac{1}{2} x + 5$
194549	Find the Holes in the Graph	(-4x-16)/(x+4)	$\frac{- 4 x - 16}{x + 4}$
194550	Find the Roots (Zeros)	x(x-1)	$x (x - 1)$
194551	Find the x and y Intercepts	f(x)=(x^2+x-42)/(2x-12)	$f (x) = \frac{x^{2} + x - 42}{2 x - 12}$
194552	Find the Axis of Symmetry	f(x)=-\|x-7\|+1/2	$f (x) = - \| x - 7 \| + \frac{1}{2}$
194553	Evaluate	((4+3)*2)/2	$\frac{(4 + 3) \cdot 2}{2}$
194554	Multiply	-1/3*0	$- \frac{1}{3} \cdot 0$
194555	Simplify	-3y-2-3+17y	$- 3 y - 2 - 3 + 17 y$
194556	Multiply	(2x-3y^2)(x+y)	$(2 x - 3 y^{2}) (x + y)$
194557	Solve for w	8w+8>=-10w-5	$8 w + 8 \geq - 10 w - 5$
194558	Simplify	(5x-1)/(x^2+2x-8)-6/(x+4)	$\frac{5 x - 1}{x^{2} + 2 x - 8} - \frac{6}{x + 4}$
194559	Subtract	(x^2-x+3)/(x^2+2x-8)-(x^2-3x-5)/(x^2+2x-8)	$\frac{x^{2} - x + 3}{x^{2} + 2 x - 8} - \frac{x^{2} - 3 x - 5}{x^{2} + 2 x - 8}$
194560	Describe the Transformation	g(x)=2 log of x-3	$g (x) = 2 \log (x - 3)$
194561	Evaluate	5 cube root of 729-24	$5 \sqrt[3]{729} - 24$
194562	Simplify	((4a-28)/6)÷((a^2-49)/(3a-21))	$\frac{4 a - 28}{6} \div \frac{a^{2} - 49}{3 a - 21}$
194563	Solve for x	(2x-10)(3x+12)=0	$(2 x - 10) (3 x + 12) = 0$
194564	Solve for x	2x+(6-x)/3=-3	$2 x + \frac{6 - x}{3} = - 3$
194565	Solve the Inequality for x	-2/3<-4x	$- \frac{2}{3} < - 4 x$
194566	Find the x and y Intercepts	f(x)=-1/3x(x^2-25)^2	$f (x) = - \frac{1}{3} x {(x^{2} - 25)}^{2}$
194567	Solve the Absolute Value Inequality for x	-2+\|2x-4\|<10	$- 2 + \| 2 x - 4 \| < 10$
194568	Solve for x	log base 6 of 3x^2-3x=2	$\log_{6} (3 x^{2} - 3 x) = 2$
194569	Subtract	(x^5+x^3)-(6x-x^3+6x^5)	$(x^{5} + x^{3}) - (6 x - x^{3} + 6 x^{5})$
194570	Solve for x	x^2=23+2x	$x^{2} = 23 + 2 x$
194571	Simplify	square root of 16x^2*x^(2/3)+ cube root of 8x^5	$\sqrt{16 x^{2}} \cdot x^{\frac{2}{3}} + \sqrt[3]{8 x^{5}}$
194572	Solve for r	9\|r+8\|-4=-22	$9 \| r + 8 \| - 4 = - 22$
194573	Solve for n	3.3(n-8)-n=1.2	$3.3 (n - 8) - n = 1.2$
194574	Simplify	(3y-8)(-x+y)	$(3 y - 8) (- x + y)$
194575	Solve for g	2vx-2gt=6	$2 v x - 2 g t = 6$
194576	Graph	\|x-4\|-4=1/2x	$\| x - 4 \| - 4 = \frac{1}{2} x$
194577	Evaluate	fourth root of 1/4 fourth root of 1/64	$\sqrt[4]{\frac{1}{4}} \sqrt[4]{\frac{1}{64}}$
194578	Solve the Inequality for x	(5x-1)/(x+2)>=1	$\frac{5 x - 1}{x + 2} \geq 1$
194579	Solve the Inequality for x	(x+5)(-2x+6)<0	$(x + 5) (- 2 x + 6) < 0$
194580	Solve for x	1/4+6/x=5/8	$\frac{1}{4} + \frac{6}{x} = \frac{5}{8}$
194581	Solve for x	3(x+2)+4=5x+7	$3 (x + 2) + 4 = 5 x + 7$
194582	Solve the Inequality for x	1/4x>=-2	$\frac{1}{4} x \geq - 2$
194583	Solve for t	h(t)=-16t^2+400	$h (t) = - 16 t^{2} + 400$
194584	Solve the Inequality for x	2x-(6x+7)>-19	$2 x - (6 x + 7) > - 19$
194585	Simplify	(-10mn^3-4n^4)-(-2n^4-7mn^3-6n^3)-(5n^3+6mn^3)	$(- 10 m n^{3} - 4 n^{4}) - (- 2 n^{4} - 7 m n^{3} - 6 n^{3}) - (5 n^{3} + 6 m n^{3})$
194586	Solve for h	A=1/2h(b+c) ; solve for h	$A = \frac{1}{2} h (b + c)$ ; solve for $h$
194587	Solve for x	4( cube root of x-2)+1=9	$4 (\sqrt[3]{x - 2}) + 1 = 9$
194588	Graph	(x+6)(x+1)>=0	$(x + 6) (x + 1) \geq 0$
194589	Simplify	(x^2+3)^2-(x^2-1)^2	${(x^{2} + 3)}^{2} - {(x^{2} - 1)}^{2}$
194590	Find the End Behavior	P(x)=-4(x+2)^2x^3(8-x)(x^2+5)	$P (x) = - 4 {(x + 2)}^{2} x^{3} (8 - x) (x^{2} + 5)$
194591	Simplify	(3y^(2/3))^3(2y^2)^2	${(3 y^{\frac{2}{3}})}^{3} {(2 y^{2})}^{2}$
194592	Solve for n	log base 2 of 5n+8 = log base 2 of -3n	$\log_{2} (5 n + 8) = \log_{2} (- 3 n)$
194593	Solve for h	(h+9)/5=(h-1)/3	$\frac{h + 9}{5} = \frac{h - 1}{3}$
194594	Divide Using Long Polynomial Division	(x^5+2x^3-x-8)/(x^2-2x+1)	$\frac{x^{5} + 2 x^{3} - x - 8}{x^{2} - 2 x + 1}$
194595	Solve for x	4x=3x	$4 x = 3 x$
194596	Solve for x	5-4(-x-3/2)=5(-6x-6/5)+10x	$5 - 4 (- x - \frac{3}{2}) = 5 (- 6 x - \frac{6}{5}) + 10 x$
194597	Solve the System of Equations	-4/5x+7y=-1/5 1/2x-1/3y=-12	$- \frac{4}{5} x + 7 y = - \frac{1}{5}$ $\frac{1}{2} x - \frac{1}{3} y = - 12$
194598	Solve the Absolute Value Inequality for x	\|x\|+6=3	$\| x \| + 6 = 3$
194599	Simplify	4m+((6m-3n)-(9n-5m)+(8m-2n))	$4 m + ((6 m - 3 n) - (9 n - 5 m) + (8 m - 2 n))$
194600	Solve for x	2/3=(x+7)/(3x)	$\frac{2}{3} = \frac{x + 7}{3 x}$