Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
194501	Find the x and y Intercepts	f(x)=x-x^3	$f (x) = x - x^{3}$
194502	Solve for m	6-2\|m-3\|>-4	$6 - 2 \| m - 3 \| > - 4$
194503	Graph	f(x)=x^2-2x+3 , f(x)=-6x	$f (x) = x^{2} - 2 x + 3$ , $f (x) = - 6 x$
194504	Solve for p	20+4-10+4p=65-34	$20 + 4 - 10 + 4 p = 65 - 34$
194505	Simplify	((4x^3-12x^2)/(4x^2+7x-2))/((2x^2-6x)/(5x^2+11x+2))	$\frac{\frac{4 x^{3} - 12 x^{2}}{4 x^{2} + 7 x - 2}}{\frac{2 x^{2} - 6 x}{5 x^{2} + 11 x + 2}}$
194506	Solve for x	4-3x+2(5.5)=9	$4 - 3 x + 2 (5.5) = 9$
194507	Solve for x	1/4\|x-3\|+2<1	$\frac{1}{4} \| x - 3 \| + 2 < 1$
194508	Find the x and y Intercepts	y=-2\|x-4\|+8	$y = - 2 \| x - 4 \| + 8$
194509	Solve for x	1/2x-4=5/2x+7	$\frac{1}{2} x - 4 = \frac{5}{2} x + 7$
194510	Find the Domain and Range	f^-1(x)=1/x	$f^{- 1} (x) = \frac{1}{x}$
194511	Solve for n	-8(4n-1)=2(9-3n)	$- 8 (4 n - 1) = 2 (9 - 3 n)$
194512	Solve the Inequality for t	t/-4+6<=8	$\frac{t}{- 4} + 6 \leq 8$
194513	Graph	theta=60 degrees	$θ = 60 °$
194514	Solve for w	0.43+2.7w=3.7w-0.47	$0.43 + 2.7 w = 3.7 w - 0.47$
194515	Graph	(x^2+9x-22)/(x+4)>=0	$\frac{x^{2} + 9 x - 22}{x + 4} \geq 0$
194516	Solve the Inequality for x	2/(x^2+x)<1	$\frac{2}{x^{2} + x} < 1$
194517	Solve for x	2/3(6x+30)=x+5(x+4)-2x	$\frac{2}{3} (6 x + 30) = x + 5 (x + 4) - 2 x$
194518	Solve for r	3/(r-4)=2/(5r)	$\frac{3}{r - 4} = \frac{2}{5 r}$
194519	Graph	y<=3x+2 and y>=2x+3	$y \leq 3 x + 2$ and $y \geq 2 x + 3$
194520	Solve for x	x=-1/2x+1/2(-3/2x+9)+1	$x = - \frac{1}{2} x + \frac{1}{2} (- \frac{3}{2} x + 9) + 1$
194521	Find the Holes in the Graph	(-5x+15)/(3x-9)	$\frac{- 5 x + 15}{3 x - 9}$
194522	Solve the System of Equations	2y-2x=2 2y-2x=6	$2 y - 2 x = 2$ $2 y - 2 x = 6$
194523	Evaluate	(\|-1\|)/-1	$\frac{\| - 1 \|}{- 1}$
194524	Complete the Square	x^2=6x+1	$x^{2} = 6 x + 1$
194525	Solve for x	16x^4+16x^3+4x^2=0	$16 x^{4} + 16 x^{3} + 4 x^{2} = 0$
194526	Evaluate	1+-1/2	$1 + - \frac{1}{2}$
194527	Find the Exact Value	cos(2)(150 degrees )	$\cos (2) (150 °)$
194528	Evaluate	7^2-46+17÷2	$7^{2} - 46 + 17 \div 2$
194529	Find the Quotient	(2x^4-3x^3-6x^2+11x+8)÷(x-2)	$(2 x^{4} - 3 x^{3} - 6 x^{2} + 11 x + 8) \div (x - 2)$
194530	Factor	225+5m^2+m^4	$225 + 5 m^{2} + m^{4}$
194531	Solve for h	2/5h+g=d	$\frac{2}{5} h + g = d$
194532	Graph	2x^2+3x+y+1=0	$2 x^{2} + 3 x + y + 1 = 0$
194533	Simplify	(-2)^2-3*-2+1	${(- 2)}^{2} - 3 \cdot - 2 + 1$
194534	Solve for x	3/(x-1)+(2x+3)/(x+5)=(3x)/(x-1)	$\frac{3}{x - 1} + \frac{2 x + 3}{x + 5} = \frac{3 x}{x - 1}$
194535	Write the Fraction in Simplest Form	(4x^3y^4)/(-8xy^2)	$\frac{4 x^{3} y^{4}}{- 8 x y^{2}}$
194536	Subtract	(4c+1)-(5ab+d)	$(4 c + 1) - (5 a b + d)$
194537	Solve for x	\|x+4\|+\|2x-1\|>12	$\| x + 4 \| + \| 2 x - 1 \| > 12$
194538	Find the x and y Intercepts	f(x)=(x^2)/(x^2-x-6)	$f (x) = \frac{x^{2}}{x^{2} - x - 6}$
194539	Solve for d	-2\|3d\|=4	$- 2 \| 3 d \| = 4$
194540	Simplify	11*(2c+3d)	$11 \cdot (2 c + 3 d)$
194541	Graph Using a Table of Values	y = natural log of x	$y = \ln (x)$
194542	Find f(g(x))	f(x)=2x-7 , g(x)=(x+7)/2	$f (x) = 2 x - 7$ , $g (x) = \frac{x + 7}{2}$
194543	Graph	y>=-2\|x+1\|+3	$y \geq - 2 \| x + 1 \| + 3$
194544	Solve for x	\|1/2x+1\|=5	$\| \frac{1}{2} x + 1 \| = 5$
194545	Find the Equation Using Two Points	(1,4) and (3,5)	$(1, 4)$ and $(3, 5)$
194546	Factor	(x^2-2x-3)/(x-3)	$\frac{x^{2} - 2 x - 3}{x - 3}$
194547	Find the Distance Between Two Points	(-3,-11) and (8,-42)	$(- 3, - 11)$ and $(8, - 42)$
194548	Find All Complex Solutions	(x+4)/(x-1)=(-x^2+3x+12)/((x+3)(x-1))	$\frac{x + 4}{x - 1} = \frac{- x^{2} + 3 x + 12}{(x + 3) (x - 1)}$
194549	Solve for x	6x+3-6x=3	$6 x + 3 - 6 x = 3$
194550	Divide	((x+3)/12)÷((9x+27)/24)	$\frac{x + 3}{12} \div \frac{9 x + 27}{24}$
194551	Simplify	square root of (x^2+1)-1	$\sqrt{(x^{2} + 1) - 1}$
194552	Solve for x	square root of x^2-5+7=5	$\sqrt{x^{2} - 5} + 7 = 5$
194553	Find the Roots (Zeros)	4x^2=8x-7	$4 x^{2} = 8 x - 7$
194554	Solve the Inequality for x	3x-7(x+3)<-13	$3 x - 7 (x + 3) < - 13$
194555	Factor	(x/2+y/3)^3+(x/3-y/2)^3	${(\frac{x}{2} + \frac{y}{3})}^{3} + {(\frac{x}{3} - \frac{y}{2})}^{3}$
194556	Solve for x	-x/3-1/4x=14	$- \frac{x}{3} - \frac{1}{4} x = 14$
194557	Rationalize the Denominator	( square root of 4)/( square root of 5)	$\frac{\sqrt{4}}{\sqrt{5}}$
194558	Solve for x	-2(2-2x)-4(x+5)<=-24	$- 2 (2 - 2 x) - 4 (x + 5) \leq - 24$
194559	Write in Standard Form	(x+y)(x-y)	$(x + y) (x - y)$
194560	Solve for x	-(-x+1)-9=6(-3/4x+1/4)+1	$- (- x + 1) - 9 = 6 (- \frac{3}{4} x + \frac{1}{4}) + 1$
194561	Solve for x	5\|2x+4\|-3=-3	$5 \| 2 x + 4 \| - 3 = - 3$
194562	Find the Quadratic Equation Given the Roots	5 and -1	$5$ and $- 1$
194563	Evaluate	6-3/4x+1/3=1/2x+5	$6 - \frac{3}{4} x + \frac{1}{3} = \frac{1}{2} x + 5$
194564	Find the Holes in the Graph	(-4x-16)/(x+4)	$\frac{- 4 x - 16}{x + 4}$
194565	Find the Roots (Zeros)	x(x-1)	$x (x - 1)$
194566	Find the x and y Intercepts	f(x)=(x^2+x-42)/(2x-12)	$f (x) = \frac{x^{2} + x - 42}{2 x - 12}$
194567	Find the Axis of Symmetry	f(x)=-\|x-7\|+1/2	$f (x) = - \| x - 7 \| + \frac{1}{2}$
194568	Evaluate	((4+3)*2)/2	$\frac{(4 + 3) \cdot 2}{2}$
194569	Multiply	-1/3*0	$- \frac{1}{3} \cdot 0$
194570	Simplify	-3y-2-3+17y	$- 3 y - 2 - 3 + 17 y$
194571	Multiply	(2x-3y^2)(x+y)	$(2 x - 3 y^{2}) (x + y)$
194572	Solve for w	8w+8>=-10w-5	$8 w + 8 \geq - 10 w - 5$
194573	Simplify	(5x-1)/(x^2+2x-8)-6/(x+4)	$\frac{5 x - 1}{x^{2} + 2 x - 8} - \frac{6}{x + 4}$
194574	Subtract	(x^2-x+3)/(x^2+2x-8)-(x^2-3x-5)/(x^2+2x-8)	$\frac{x^{2} - x + 3}{x^{2} + 2 x - 8} - \frac{x^{2} - 3 x - 5}{x^{2} + 2 x - 8}$
194575	Describe the Transformation	g(x)=2 log of x-3	$g (x) = 2 \log (x - 3)$
194576	Evaluate	5 cube root of 729-24	$5 \sqrt[3]{729} - 24$
194577	Simplify	((4a-28)/6)÷((a^2-49)/(3a-21))	$\frac{4 a - 28}{6} \div \frac{a^{2} - 49}{3 a - 21}$
194578	Solve for x	(2x-10)(3x+12)=0	$(2 x - 10) (3 x + 12) = 0$
194579	Solve for x	2x+(6-x)/3=-3	$2 x + \frac{6 - x}{3} = - 3$
194580	Solve the Inequality for x	-2/3<-4x	$- \frac{2}{3} < - 4 x$
194581	Find the x and y Intercepts	f(x)=-1/3x(x^2-25)^2	$f (x) = - \frac{1}{3} x {(x^{2} - 25)}^{2}$
194582	Solve the Absolute Value Inequality for x	-2+\|2x-4\|<10	$- 2 + \| 2 x - 4 \| < 10$
194583	Solve for x	log base 6 of 3x^2-3x=2	$\log_{6} (3 x^{2} - 3 x) = 2$
194584	Subtract	(x^5+x^3)-(6x-x^3+6x^5)	$(x^{5} + x^{3}) - (6 x - x^{3} + 6 x^{5})$
194585	Solve for x	x^2=23+2x	$x^{2} = 23 + 2 x$
194586	Simplify	square root of 16x^2*x^(2/3)+ cube root of 8x^5	$\sqrt{16 x^{2}} \cdot x^{\frac{2}{3}} + \sqrt[3]{8 x^{5}}$
194587	Solve for r	9\|r+8\|-4=-22	$9 \| r + 8 \| - 4 = - 22$
194588	Solve for n	3.3(n-8)-n=1.2	$3.3 (n - 8) - n = 1.2$
194589	Simplify	(3y-8)(-x+y)	$(3 y - 8) (- x + y)$
194590	Solve for g	2vx-2gt=6	$2 v x - 2 g t = 6$
194591	Graph	\|x-4\|-4=1/2x	$\| x - 4 \| - 4 = \frac{1}{2} x$
194592	Evaluate	fourth root of 1/4 fourth root of 1/64	$\sqrt[4]{\frac{1}{4}} \sqrt[4]{\frac{1}{64}}$
194593	Solve the Inequality for x	(5x-1)/(x+2)>=1	$\frac{5 x - 1}{x + 2} \geq 1$
194594	Solve the Inequality for x	(x+5)(-2x+6)<0	$(x + 5) (- 2 x + 6) < 0$
194595	Solve for x	1/4+6/x=5/8	$\frac{1}{4} + \frac{6}{x} = \frac{5}{8}$
194596	Solve for x	3(x+2)+4=5x+7	$3 (x + 2) + 4 = 5 x + 7$
194597	Solve the Inequality for x	1/4x>=-2	$\frac{1}{4} x \geq - 2$
194598	Solve for t	h(t)=-16t^2+400	$h (t) = - 16 t^{2} + 400$
194599	Solve the Inequality for x	2x-(6x+7)>-19	$2 x - (6 x + 7) > - 19$
194600	Simplify	(-10mn^3-4n^4)-(-2n^4-7mn^3-6n^3)-(5n^3+6mn^3)	$(- 10 m n^{3} - 4 n^{4}) - (- 2 n^{4} - 7 m n^{3} - 6 n^{3}) - (5 n^{3} + 6 m n^{3})$