Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
189801	Find the Inverse	y = square root of 2+5x	$y = \sqrt{2 + 5 x}$
189802	Solve for B	(3x-5)/(4x+3)+(-2x+1)/(7x-2)=(Ax^2+Bx+C)/((4x+3)(7x-2))	$\frac{3 x - 5}{4 x + 3} + \frac{- 2 x + 1}{7 x - 2} = \frac{A x^{2} + B x + C}{(4 x + 3) (7 x - 2)}$
189803	Simplify	(-3hk^-6)/(-9h^-7j^6k^0)	$\frac{- 3 h k^{- 6}}{- 9 h^{- 7} j^{6} k^{0}}$
189804	Evaluate	((a^-3)/(b^2))^4	${(\frac{a^{- 3}}{b^{2}})}^{4}$
189805	Evaluate	pi/2-(3pi)/2	$\frac{π}{2} - \frac{3 π}{2}$
189806	Find All Complex Solutions	-cos(theta)^2+sin(theta)^2=cos(theta)+1	$- \cos^{2} (θ) + \sin^{2} (θ) = \cos (θ) + 1$
189807	Simplify	3i(-2i+7)+2(-2-11i)-i	$3 i (- 2 i + 7) + 2 (- 2 - 11 i) - i$
189808	Write in Standard Form	f(x)=(x-3)(x+2)	$f (x) = (x - 3) (x + 2)$
189809	Solve the System of Equations	y=9+3z y=51-3z	$y = 9 + 3 z$ $y = 51 - 3 z$
189810	Graph	y<=x^2+x-20	$y \leq x^{2} + x - 20$
189811	Evaluate	3*(-3^2)	$3 \cdot (- 3^{2})$
189812	Multiply	(x-3-i)(x-3+i)	$(x - 3 - i) (x - 3 + i)$
189813	Plot	sin(theta)<0 , cos(theta)>0	$\sin (θ) < 0$ , $\cos (θ) > 0$
189814	Factor	x^3-4x^2-3x+18=0	$x^{3} - 4 x^{2} - 3 x + 18 = 0$
189815	Find the Points of Intersection	x=3-y^2 y=x-1	$x = 3 - y^{2}$ $y = x - 1$
189816	Find the Roots (Zeros)	y=5(x-3)(x+5)	$y = 5 (x - 3) (x + 5)$
189817	Find the Distance Between Two Points	(4,-7) and (-1,5)	$(4, - 7)$ and $(- 1, 5)$
189818	Solve for θ	(tan(theta)+1)(cos(theta)+1)=0	$(\tan (θ) + 1) (\cos (θ) + 1) = 0$
189819	Solve the System of Equations	y=\|x^2-3x+1\| y=x-1	$y = \| x^{2} - 3 x + 1 \|$ $y = x - 1$
189820	Rationalize the Denominator	( square root of 6)/( square root of 2)	$\frac{\sqrt{6}}{\sqrt{2}}$
189821	Graph	f(x)=a(x-h)^2	$f (x) = a {(x - h)}^{2}$
189822	Solve for x	(2x-1)(x+3)=4	$(2 x - 1) (x + 3) = 4$
189823	Simplify	(3^83^4)/(3^23^8)	$\frac{3^{8} \cdot 3^{4}}{3^{2} \cdot 3^{8}}$
189824	Divide	(6a^3b^3-9a^2b^2+3ab^4)÷(3ab^2)	$(6 a^{3} b^{3} - 9 a^{2} b^{2} + 3 a b^{4}) \div (3 a b^{2})$
189825	Find the x and y Intercepts	f(x)=(1/3)^x-1	$f (x) = {(\frac{1}{3})}^{x} - 1$
189826	Graph	y=-1/2tan(2x)	$y = - \frac{1}{2} \tan (2 x)$
189827	Solve the Absolute Value Inequality for v	\|2+7v\|+11=27	$\| 2 + 7 v \| + 11 = 27$
189828	Find the Distance Between Two Points	(-2,8) and (3,4)	$(- 2, 8)$ and $(3, 4)$
189829	Solve for y	\|3-9y\|<=33	$\| 3 - 9 y \| \leq 33$
189830	Evaluate	4(2)^-3	$4 {(2)}^{- 3}$
189831	Simplify	(a^3)^3*a^-9	${(a^{3})}^{3} \cdot a^{- 9}$
189832	Solve for x	x/(a-x)=1	$\frac{x}{a - x} = 1$
189833	Graph	y=4tan(1/2x+pi/4)-1	$y = 4 \tan (\frac{1}{2} x + \frac{π}{4}) - 1$
189834	Solve for θ	(cot(theta)-1)(sin(theta)+1)=0	$(\cot (θ) - 1) (\sin (θ) + 1) = 0$
189835	Solve for a	3/4(2a-6)+1/2=2/5(3a+20)	$\frac{3}{4} (2 a - 6) + \frac{1}{2} = \frac{2}{5} (3 a + 20)$
189836	Simplify	3x^3(2x+y)	$3 x^{3} (2 x + y)$
189837	Write in Slope-Intercept Form	x+y<=1	$x + y \leq 1$
189838	Graph	f(x)=x+1 if x<1; 3 if x>=1	$f (x) = {\begin{cases} x + 1 & x < 1 \\ 3 & x \geq 1 \end{cases}$
189839	Simplify	6/2+(6x)/(x+1)	$\frac{6}{2} + \frac{6 x}{x + 1}$
189840	Solve the Inequality for x	4x-2(x-3)>=0	$4 x - 2 (x - 3) \geq 0$
189841	Simplify	6/(9/7)	$\frac{6}{\frac{9}{7}}$
189842	Find the Perfect Square Trinomial	x^2+x+36	$x^{2} + x + 36$
189843	Solve the System of Equations	-2x^2-y^2=-200 -3x^2-y^2=-300	$- 2 x^{2} - y^{2} = - 200$ $- 3 x^{2} - y^{2} = - 300$
189844	Find the Inverse	g(C)=9/5c+32	$g (C) = \frac{9}{5} c + 32$
189845	Solve for x	1/2e^(2x)=9	$\frac{1}{2} e^{2 x} = 9$
189846	Simplify	9/(-6(x+2)^2+7(x+2))	$\frac{9}{- 6 {(x + 2)}^{2} + 7 (x + 2)}$
189847	Solve the Absolute Value Inequality for r	\|5-5r\|+1<36	$\| 5 - 5 r \| + 1 < 36$
189848	Evaluate	2cos(x)+1=0	$2 \cos (x) + 1 = 0$
189849	Solve for x	1/2(-x+1)-2=-6/5(x+1/6)	$\frac{1}{2} (- x + 1) - 2 = - \frac{6}{5} (x + \frac{1}{6})$
189850	Evaluate	(3x^2y^3)^3	${(3 x^{2} y^{3})}^{3}$
189851	Solve for x	-3/(x+3)=x/(x+3)-x/5	$\frac{- 3}{x + 3} = \frac{x}{x + 3} - \frac{x}{5}$
189852	Find All Complex Solutions	k^2+8k+22=6	$k^{2} + 8 k + 22 = 6$
189853	Simplify	-7x^2+4x+2 from x^2-3	$- 7 x^{2} + 4 x + 2$ from $x^{2} - 3$
189854	Solve for x	log base 2 of x^2-4- log base 2 of 2x+4=4	$\log_{2} (x^{2} - 4) - \log_{2} (2 x + 4) = 4$
189855	Graph	f(x)=4 if x<=3; 2x if x>3	$f (x) = {\begin{cases} 4 & x \leq 3 \\ 2 x & x > 3 \end{cases}$
189856	Solve the Inequality for x	-12>=4x	$- 12 \geq 4 x$
189857	Solve for θ	2sin(theta)^2+cos(theta)=1	$2 \sin^{2} (θ) + \cos (θ) = 1$
189858	Convert to a Decimal	sin(240)deg	$\sin (240)$ degrees
189859	Solve the System of Equations	y=x^2+3 3x-y+1=0	$y = x^{2} + 3$ $3 x - y + 1 = 0$
189860	Solve the Inequality for x	-6x-5<-3(2x+1)	$- 6 x - 5 < - 3 (2 x + 1)$
189861	Solve the Inequality for x	(2x+1)/3+(3x-5)/4<(4x-3)/5+(x+1)/2	$\frac{2 x + 1}{3} + \frac{3 x - 5}{4} < \frac{4 x - 3}{5} + \frac{x + 1}{2}$
189862	Find the x and y Intercepts	P(x)=(x-2)^2(x-6)	$P (x) = {(x - 2)}^{2} (x - 6)$
189863	Find the x and y Intercepts	f(x)=(x+1)-2	$f (x) = (x + 1) - 2$
189864	Find the Axis of Symmetry	f(x)=-(x-4)^2	$f (x) = - {(x - 4)}^{2}$
189865	Simplify	(18-2x^3+9x)-(4-x^2-3x^3+11x)	$(18 - 2 x^{3} + 9 x) - (4 - x^{2} - 3 x^{3} + 11 x)$
189866	Solve for x	5(-8x-3)=x+1	$5 (- 8 x - 3) = x + 1$
189867	Simplify	(4x^2)/(2x^2)	$\frac{4 x^{2}}{2 x^{2}}$
189868	Solve by Addition/Elimination	3x+3y=9 and 5x-3y=7	$3 x + 3 y = 9$ and $5 x - 3 y = 7$
189869	Simplify	square root of (2- square root of 5)^2	$\sqrt{{(2 - \sqrt{5})}^{2}}$
189870	Factor	x(a+1)-2y(a+1)	$x (a + 1) - 2 y (a + 1)$
189871	Solve for a	(x^3)/( square root of x)=x^a	$\frac{x^{3}}{\sqrt{x}} = x^{a}$
189872	Find the Exact Value	2cos(112.5 degrees )^2-1	$2 \cos^{2} (112.5 °) - 1$
189873	Simplify	1/3+2/6	$\frac{1}{3} + \frac{2}{6}$
189874	Solve for x	9-6(-x+3/4)-x=2/5(5x+1/4)	$9 - 6 (- x + \frac{3}{4}) - x = \frac{2}{5} (5 x + \frac{1}{4})$
189875	Factor	(x^2+3x)	$(x^{2} + 3 x)$
189876	Find the First Term	a_n=(-1)^nn^2	$a_{n} = {(- 1)}^{n} n^{2}$
189877	Solve for x	6(x-3)=2(13-x)	$6 (x - 3) = 2 (13 - x)$
189878	Solve for z	\|z\|>(1/2)	$\| z \| > (\frac{1}{2})$
189879	Factor	(x-1)/(x^2-1)	$\frac{x - 1}{x^{2} - 1}$
189880	Simplify	- cube root of 320-4 cube root of 5+2 cube root of 135+2 cube root of 16	$- \sqrt[3]{320} - 4 \sqrt[3]{5} + 2 \sqrt[3]{135} + 2 \sqrt[3]{16}$
189881	Solve for k	3(7-9k)+23k=4k-(24-k)	$3 (7 - 9 k) + 23 k = 4 k - (24 - k)$
189882	Solve for x	(x-2)^(1/2)+4=x	${(x - 2)}^{\frac{1}{2}} + 4 = x$
189883	Graph	f(x)=[[x+1]]	$f (x) = [\begin{array}{c} x + 1 \end{array}]$
189884	Simplify	1/(x^2)+ square root of x	$\frac{1}{x^{2}} + \sqrt{x}$
189885	Solve for k	1/3+2/k=13/(3k)	$\frac{1}{3} + \frac{2}{k} = \frac{13}{3 k}$
189886	Solve for h	SA=2pir^2+2pirh for h	$S A = 2 π r^{2} + 2 π r h$ for $h$
189887	Solve for x	3x-(5x-9)=7-4(x+1)	$3 x - (5 x - 9) = 7 - 4 (x + 1)$
189888	Solve for t	7=3/5t-2	$7 = \frac{3}{5} t - 2$
189889	Graph	f(x)=2^x and g(x)=3(2^x)	$f (x) = 2^{x}$ and $g (x) = 3 (2^{x})$
189890	Solve the Rational Equation for x	square root of 3x+7+ square root of x+2=1	$\sqrt{3 x + 7} + \sqrt{x + 2} = 1$
189891	Find the Excluded Values	(x-7)/(-5x+40)*(x^2-64)/(-4x+28)	$\frac{x - 7}{- 5 x + 40} \cdot \frac{x^{2} - 64}{- 4 x + 28}$
189892	Find the Degree, Leading Term, and Leading Coefficient	f(x)=x^3(x-2)^2	$f (x) = x^{3} {(x - 2)}^{2}$
189893	Rationalize the Denominator	(x square root of 7)/( square root of 3)	$\frac{x \sqrt{7}}{\sqrt{3}}$
189894	Solve for q	-30=q-10+11q	$- 30 = q - 10 + 11 q$
189895	Solve the Inequality for x	(x^2-1)(x+5)(x-3)<0	$(x^{2} - 1) (x + 5) (x - 3) < 0$
189896	Graph	x/2>=-1	$\frac{x}{2} \geq - 1$
189897	Evaluate	7/(x+2)+4/(x-5)	$\frac{7}{x + 2} + \frac{4}{x - 5}$
189898	Evaluate	3*2^(4+1)	$3 \cdot 2^{4 + 1}$
189899	Simplify	(1/3+1/5-1/7)/(1/x)	$\frac{\frac{1}{3} + \frac{1}{5} - \frac{1}{7}}{\frac{1}{x}}$
189900	Evaluate the Function	f(x)=5x+9 at x=2	$f (x) = 5 x + 9$ at $x = 2$