Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
189801	Simplify	1/4-1/3	$\frac{1}{4} - \frac{1}{3}$
189802	Find the End Behavior	y=(x-2)(x+3)^2(x+1)^3	$y = (x - 2) {(x + 3)}^{2} {(x + 1)}^{3}$
189803	Solve for a	2/(a-2)=(3a-1)/(2a+11)	$\frac{2}{a - 2} = \frac{3 a - 1}{2 a + 11}$
189804	Solve for x	x/2+1/3<=0	$\frac{x}{2} + \frac{1}{3} \leq 0$
189805	Simplify	-8(7i-3i^2)	$- 8 (7 i - 3 i^{2})$
189806	Factor	f(x)=-x^5+52x^3+2x^2-147x-98	$f (x) = - x^{5} + 52 x^{3} + 2 x^{2} - 147 x - 98$
189807	Solve for x	3(x+5)-2(x+2)=20	$3 (x + 5) - 2 (x + 2) = 20$
189808	Combine Like Terms	5p+3p+(-9)	$5 p + 3 p + (- 9)$
189809	Graph	y<\|x+1\|	$y < \| x + 1 \|$
189810	Solve for y	4y-1/2=-1/2y+1/4	$4 y - \frac{1}{2} = - \frac{1}{2} y + \frac{1}{4}$
189811	Solve for y	w=6+(3xy)/75	$w = 6 + \frac{3 x y}{75}$
189812	Describe the Transformation	g(x)=2-(x+5)^2	$g (x) = 2 - {(x + 5)}^{2}$
189813	Solve for q	9q^2-60q+100=20	$9 q^{2} - 60 q + 100 = 20$
189814	Find the Product	(6x^2)(4x^2)	$(6 x^{2}) (4 x^{2})$
189815	Solve for x	1/2(-x+8)-9x=-6+5/2(-x+6)	$\frac{1}{2} (- x + 8) - 9 x = - 6 + \frac{5}{2} (- x + 6)$
189816	Find the Inverse	y = square root of 2+5x	$y = \sqrt{2 + 5 x}$
189817	Solve for B	(3x-5)/(4x+3)+(-2x+1)/(7x-2)=(Ax^2+Bx+C)/((4x+3)(7x-2))	$\frac{3 x - 5}{4 x + 3} + \frac{- 2 x + 1}{7 x - 2} = \frac{A x^{2} + B x + C}{(4 x + 3) (7 x - 2)}$
189818	Simplify	(-3hk^-6)/(-9h^-7j^6k^0)	$\frac{- 3 h k^{- 6}}{- 9 h^{- 7} j^{6} k^{0}}$
189819	Evaluate	((a^-3)/(b^2))^4	${(\frac{a^{- 3}}{b^{2}})}^{4}$
189820	Evaluate	pi/2-(3pi)/2	$\frac{π}{2} - \frac{3 π}{2}$
189821	Find All Complex Solutions	-cos(theta)^2+sin(theta)^2=cos(theta)+1	$- \cos^{2} (θ) + \sin^{2} (θ) = \cos (θ) + 1$
189822	Simplify	3i(-2i+7)+2(-2-11i)-i	$3 i (- 2 i + 7) + 2 (- 2 - 11 i) - i$
189823	Write in Standard Form	f(x)=(x-3)(x+2)	$f (x) = (x - 3) (x + 2)$
189824	Solve the System of Equations	y=9+3z y=51-3z	$y = 9 + 3 z$ $y = 51 - 3 z$
189825	Graph	y<=x^2+x-20	$y \leq x^{2} + x - 20$
189826	Evaluate	3*(-3^2)	$3 \cdot (- 3^{2})$
189827	Multiply	(x-3-i)(x-3+i)	$(x - 3 - i) (x - 3 + i)$
189828	Plot	sin(theta)<0 , cos(theta)>0	$\sin (θ) < 0$ , $\cos (θ) > 0$
189829	Factor	x^3-4x^2-3x+18=0	$x^{3} - 4 x^{2} - 3 x + 18 = 0$
189830	Find the Points of Intersection	x=3-y^2 y=x-1	$x = 3 - y^{2}$ $y = x - 1$
189831	Find the Roots (Zeros)	y=5(x-3)(x+5)	$y = 5 (x - 3) (x + 5)$
189832	Find the Distance Between Two Points	(4,-7) and (-1,5)	$(4, - 7)$ and $(- 1, 5)$
189833	Solve for θ	(tan(theta)+1)(cos(theta)+1)=0	$(\tan (θ) + 1) (\cos (θ) + 1) = 0$
189834	Solve the System of Equations	y=\|x^2-3x+1\| y=x-1	$y = \| x^{2} - 3 x + 1 \|$ $y = x - 1$
189835	Rationalize the Denominator	( square root of 6)/( square root of 2)	$\frac{\sqrt{6}}{\sqrt{2}}$
189836	Graph	f(x)=a(x-h)^2	$f (x) = a {(x - h)}^{2}$
189837	Solve for x	(2x-1)(x+3)=4	$(2 x - 1) (x + 3) = 4$
189838	Simplify	(3^83^4)/(3^23^8)	$\frac{3^{8} \cdot 3^{4}}{3^{2} \cdot 3^{8}}$
189839	Divide	(6a^3b^3-9a^2b^2+3ab^4)÷(3ab^2)	$(6 a^{3} b^{3} - 9 a^{2} b^{2} + 3 a b^{4}) \div (3 a b^{2})$
189840	Find the x and y Intercepts	f(x)=(1/3)^x-1	$f (x) = {(\frac{1}{3})}^{x} - 1$
189841	Graph	y=-1/2tan(2x)	$y = - \frac{1}{2} \tan (2 x)$
189842	Solve the Absolute Value Inequality for v	\|2+7v\|+11=27	$\| 2 + 7 v \| + 11 = 27$
189843	Find the Distance Between Two Points	(-2,8) and (3,4)	$(- 2, 8)$ and $(3, 4)$
189844	Solve for y	\|3-9y\|<=33	$\| 3 - 9 y \| \leq 33$
189845	Evaluate	4(2)^-3	$4 {(2)}^{- 3}$
189846	Simplify	(a^3)^3*a^-9	${(a^{3})}^{3} \cdot a^{- 9}$
189847	Solve for x	x/(a-x)=1	$\frac{x}{a - x} = 1$
189848	Graph	y=4tan(1/2x+pi/4)-1	$y = 4 \tan (\frac{1}{2} x + \frac{π}{4}) - 1$
189849	Solve for θ	(cot(theta)-1)(sin(theta)+1)=0	$(\cot (θ) - 1) (\sin (θ) + 1) = 0$
189850	Solve for a	3/4(2a-6)+1/2=2/5(3a+20)	$\frac{3}{4} (2 a - 6) + \frac{1}{2} = \frac{2}{5} (3 a + 20)$
189851	Simplify	3x^3(2x+y)	$3 x^{3} (2 x + y)$
189852	Write in Slope-Intercept Form	x+y<=1	$x + y \leq 1$
189853	Graph	f(x)=x+1 if x<1; 3 if x>=1	$f (x) = {\begin{cases} x + 1 & x < 1 \\ 3 & x \geq 1 \end{cases}$
189854	Simplify	6/2+(6x)/(x+1)	$\frac{6}{2} + \frac{6 x}{x + 1}$
189855	Solve the Inequality for x	4x-2(x-3)>=0	$4 x - 2 (x - 3) \geq 0$
189856	Simplify	6/(9/7)	$\frac{6}{\frac{9}{7}}$
189857	Find the Perfect Square Trinomial	x^2+x+36	$x^{2} + x + 36$
189858	Solve the System of Equations	-2x^2-y^2=-200 -3x^2-y^2=-300	$- 2 x^{2} - y^{2} = - 200$ $- 3 x^{2} - y^{2} = - 300$
189859	Find the Inverse	g(C)=9/5c+32	$g (C) = \frac{9}{5} c + 32$
189860	Solve for x	1/2e^(2x)=9	$\frac{1}{2} e^{2 x} = 9$
189861	Simplify	9/(-6(x+2)^2+7(x+2))	$\frac{9}{- 6 {(x + 2)}^{2} + 7 (x + 2)}$
189862	Solve the Absolute Value Inequality for r	\|5-5r\|+1<36	$\| 5 - 5 r \| + 1 < 36$
189863	Evaluate	2cos(x)+1=0	$2 \cos (x) + 1 = 0$
189864	Solve for x	1/2(-x+1)-2=-6/5(x+1/6)	$\frac{1}{2} (- x + 1) - 2 = - \frac{6}{5} (x + \frac{1}{6})$
189865	Evaluate	(3x^2y^3)^3	${(3 x^{2} y^{3})}^{3}$
189866	Solve for x	-3/(x+3)=x/(x+3)-x/5	$\frac{- 3}{x + 3} = \frac{x}{x + 3} - \frac{x}{5}$
189867	Find All Complex Solutions	k^2+8k+22=6	$k^{2} + 8 k + 22 = 6$
189868	Simplify	-7x^2+4x+2 from x^2-3	$- 7 x^{2} + 4 x + 2$ from $x^{2} - 3$
189869	Solve for x	log base 2 of x^2-4- log base 2 of 2x+4=4	$\log_{2} (x^{2} - 4) - \log_{2} (2 x + 4) = 4$
189870	Graph	f(x)=4 if x<=3; 2x if x>3	$f (x) = {\begin{cases} 4 & x \leq 3 \\ 2 x & x > 3 \end{cases}$
189871	Solve the Inequality for x	-12>=4x	$- 12 \geq 4 x$
189872	Solve for θ	2sin(theta)^2+cos(theta)=1	$2 \sin^{2} (θ) + \cos (θ) = 1$
189873	Convert to a Decimal	sin(240)deg	$\sin (240)$ degrees
189874	Solve the System of Equations	y=x^2+3 3x-y+1=0	$y = x^{2} + 3$ $3 x - y + 1 = 0$
189875	Solve the Inequality for x	-6x-5<-3(2x+1)	$- 6 x - 5 < - 3 (2 x + 1)$
189876	Solve the Inequality for x	(2x+1)/3+(3x-5)/4<(4x-3)/5+(x+1)/2	$\frac{2 x + 1}{3} + \frac{3 x - 5}{4} < \frac{4 x - 3}{5} + \frac{x + 1}{2}$
189877	Find the x and y Intercepts	P(x)=(x-2)^2(x-6)	$P (x) = {(x - 2)}^{2} (x - 6)$
189878	Find the x and y Intercepts	f(x)=(x+1)-2	$f (x) = (x + 1) - 2$
189879	Find the Axis of Symmetry	f(x)=-(x-4)^2	$f (x) = - {(x - 4)}^{2}$
189880	Simplify	(18-2x^3+9x)-(4-x^2-3x^3+11x)	$(18 - 2 x^{3} + 9 x) - (4 - x^{2} - 3 x^{3} + 11 x)$
189881	Solve for x	5(-8x-3)=x+1	$5 (- 8 x - 3) = x + 1$
189882	Simplify	(4x^2)/(2x^2)	$\frac{4 x^{2}}{2 x^{2}}$
189883	Solve by Addition/Elimination	3x+3y=9 and 5x-3y=7	$3 x + 3 y = 9$ and $5 x - 3 y = 7$
189884	Simplify	square root of (2- square root of 5)^2	$\sqrt{{(2 - \sqrt{5})}^{2}}$
189885	Factor	x(a+1)-2y(a+1)	$x (a + 1) - 2 y (a + 1)$
189886	Solve for a	(x^3)/( square root of x)=x^a	$\frac{x^{3}}{\sqrt{x}} = x^{a}$
189887	Find the Exact Value	2cos(112.5 degrees )^2-1	$2 \cos^{2} (112.5 °) - 1$
189888	Simplify	1/3+2/6	$\frac{1}{3} + \frac{2}{6}$
189889	Solve for x	9-6(-x+3/4)-x=2/5(5x+1/4)	$9 - 6 (- x + \frac{3}{4}) - x = \frac{2}{5} (5 x + \frac{1}{4})$
189890	Factor	(x^2+3x)	$(x^{2} + 3 x)$
189891	Find the First Term	a_n=(-1)^nn^2	$a_{n} = {(- 1)}^{n} n^{2}$
189892	Solve for x	6(x-3)=2(13-x)	$6 (x - 3) = 2 (13 - x)$
189893	Solve for z	\|z\|>(1/2)	$\| z \| > (\frac{1}{2})$
189894	Factor	(x-1)/(x^2-1)	$\frac{x - 1}{x^{2} - 1}$
189895	Simplify	- cube root of 320-4 cube root of 5+2 cube root of 135+2 cube root of 16	$- \sqrt[3]{320} - 4 \sqrt[3]{5} + 2 \sqrt[3]{135} + 2 \sqrt[3]{16}$
189896	Solve for k	3(7-9k)+23k=4k-(24-k)	$3 (7 - 9 k) + 23 k = 4 k - (24 - k)$
189897	Solve for x	(x-2)^(1/2)+4=x	${(x - 2)}^{\frac{1}{2}} + 4 = x$
189898	Graph	f(x)=[[x+1]]	$f (x) = [\begin{array}{c} x + 1 \end{array}]$
189899	Simplify	1/(x^2)+ square root of x	$\frac{1}{x^{2}} + \sqrt{x}$
189900	Solve for k	1/3+2/k=13/(3k)	$\frac{1}{3} + \frac{2}{k} = \frac{13}{3 k}$