Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
196001	Solve for L	p=F/(pirL)	$p = \frac{F}{π \cdot r \cdot L}$
196002	Solve for x	(9x)/5+2x=1	$\frac{9 x}{5} + 2 x = 1$
196003	Solve for x	-1-(-x-1/2)=4+1/2(-9x+2)	$- 1 - (- x - \frac{1}{2}) = 4 + \frac{1}{2} (- 9 x + 2)$
196004	Find the LCD	1/(10x) and 2/(5x+15)	$\frac{1}{10 x}$ and $\frac{2}{5 x + 15}$
196005	Simplify	(2x^2+3y^2-z^2)-(x^2-y^2-z^2)+(4x^2-3y^2)	$(2 x^{2} + 3 y^{2} - z^{2}) - (x^{2} - y^{2} - z^{2}) + (4 x^{2} - 3 y^{2})$
196006	Simplify	f(x+h)-(f(x))÷h	$f (x + h) - f (x) \div h$
196007	Solve the Inequality for a	(a+2)/16-(a+3)/12>(a+6)/24	$\frac{a + 2}{16} - \frac{a + 3}{12} > \frac{a + 6}{24}$
196008	Find the Distance Between Two Points	(-2,1) and (-8,9)	$(- 2, 1)$ and $(- 8, 9)$
196009	Solve the Inequality for x	(4-x)(x+3)(x^2-1)<0	$(4 - x) (x + 3) (x^{2} - 1) < 0$
196010	Find the x and y Intercepts	f(x)=(x^2-4)/(x^2-4x)	$f (x) = \frac{x^{2} - 4}{x^{2} - 4 x}$
196011	Solve for x	-2(x+2)(x^2-36)=0	$- 2 (x + 2) (x^{2} - 36) = 0$
196012	Divide	2 1/3÷3 1/2	$2 \frac{1}{3} \div 3 \frac{1}{2}$
196013	Find the Function	f(x)=3-x^2	$f (x) = 3 - x^{2}$
196014	Evaluate	5^(3- log base 5 of 7)	$5^{3 - \log_{5} (7)}$
196015	Solve for x	x^2=9-4x	$x^{2} = 9 - 4 x$
196016	Solve for x	x-8=-15/x	$x - 8 = - \frac{15}{x}$
196017	Solve the Inequality for a	21>=3(a-7)+9	$21 \geq 3 (a - 7) + 9$
196018	Solve for x	(7,1) and (x,4) , m=3/4	$(7, 1)$ and $(x, 4)$ , $m = \frac{3}{4}$
196019	Evaluate	--1^2	$- - 1^{2}$
196020	Write the Fraction in Simplest Form	(4x^2-9)/(8x^3-27)	$\frac{4 x^{2} - 9}{8 x^{3} - 27}$
196021	Graph	(x-1)(x-6)>=0	$(x - 1) (x - 6) \geq 0$
196022	Find All Complex Solutions	sin(x)^2-2sin(x)-3=0	$\sin^{2} (x) - 2 \sin (x) - 3 = 0$
196023	Solve by Factoring	(n+2)(2n+5)=0	$(n + 2) (2 n + 5) = 0$
196024	Evaluate	1/(2(3)^(1/2))	$\frac{1}{2 {(3)}^{\frac{1}{2}}}$
196025	Find the x and y Intercepts	f(x)=-1/4x(x^2-25)^2	$f (x) = - \frac{1}{4} x {(x^{2} - 25)}^{2}$
196026	Simplify	(1/(3x^(2/3)))^2	${(\frac{1}{3 x^{\frac{2}{3}}})}^{2}$
196027	Subtract	(3m^4)/(3m+2)-(4m^2)/(5m+2)	$\frac{3 m^{4}}{3 m + 2} - \frac{4 m^{2}}{5 m + 2}$
196028	Find the Roots (Zeros)	x^5-x^4-3x^3+5x^2-2x	$x^{5} - x^{4} - 3 x^{3} + 5 x^{2} - 2 x$
196029	Solve the Inequality for x	(x^2-4)/(x^2-36)<=0	$\frac{x^{2} - 4}{x^{2} - 36} \leq 0$
196030	Solve for x	-5/6x-7/30x+1/5x=-52	$- \frac{5}{6} x - \frac{7}{30} x + \frac{1}{5} x = - 52$
196031	Solve for n	411/3+388=n-79	$\frac{411}{3} + 388 = n - 79$
196032	Solve the System of Equations	y=-1/2x-2 y=-3/2x+2	$y = - \frac{1}{2} x - 2$ $y = - \frac{3}{2} x + 2$
196033	Simplify	3/(4xy)-5/(4xy)	$\frac{3}{4 x y} - \frac{5}{4 x y}$
196034	Simplify	(-1/2)÷(( square root of 3)/2)	$- \frac{1}{2} \div \frac{\sqrt{3}}{2}$
196035	Graph	y<2\|x-1\|-2	$y < 2 \| x - 1 \| - 2$
196036	Solve for y	square root of 6y+15-4=y	$\sqrt{6 y + 15} - 4 = y$
196037	Find the LCM	10 and 15	$10$ and $15$
196038	Find the Exact Value	cos(2)(pi/2)	$\cos (2) (\frac{π}{2})$
196039	Solve Using the Quadratic Formula	(3y-1)^2=0	${(3 y - 1)}^{2} = 0$
196040	Simplify	(3x)/(x^2-16)+1/(x-4)	$\frac{3 x}{x^{2} - 16} + \frac{1}{x - 4}$
196041	Simplify	square root of 4x* square root of x+7	$\sqrt{4 x} \cdot \sqrt{x + 7}$
196042	Solve for x	4+(x-3)/8=12	$4 + \frac{x - 3}{8} = 12$
196043	Simplify	(12^730^5)/(25^28^5*27^4)	$\frac{12^{7} \cdot 30^{5}}{25^{2} \cdot 8^{5} \cdot 27^{4}}$
196044	Solve for x	12x^6+2x^5-72x^4-12x^3=0	$12 x^{6} + 2 x^{5} - 72 x^{4} - 12 x^{3} = 0$
196045	Solve for x	3 square root of x+x^2=15+x^2	$3 \sqrt{x} + x^{2} = 15 + x^{2}$
196046	Solve for x	2x+3<=x-5	$2 x + 3 \leq x - 5$
196047	Solve the Rational Equation for x	(2x)/(x-3)-(2x-5)/(x^2-8x+15)=-3/(x-5)	$\frac{2 x}{x - 3} - \frac{2 x - 5}{x^{2} - 8 x + 15} = \frac{- 3}{x - 5}$
196048	Simplify	-18a^2b^-3	$- 18 a^{2} b^{- 3}$
196049	Simplify	(2x+3)(3xy^2-2y^2+3y)	$(2 x + 3) (3 x y^{2} - 2 y^{2} + 3 y)$
196050	Evaluate	3(x/3)	$3 (\frac{x}{3})$
196051	Graph	f(x)=x/(x^2-2x)	$f (x) = \frac{x}{x^{2} - 2 x}$
196052	Solve for x	(x-5)/6+(3x+7)/12=2x-5	$\frac{x - 5}{6} + \frac{3 x + 7}{12} = 2 x - 5$
196053	Find the End Behavior	f(x)=-42+7x^2+7x	$f (x) = - 42 + 7 x^{2} + 7 x$
196054	Divide	(5^-5)/(5^8)	$\frac{5^{- 5}}{5^{8}}$
196055	Find the Domain and Range	y=(x+1)/x	$y = \frac{x + 1}{x}$
196056	Find the Function	f(x)=1/(2x)	$f (x) = \frac{1}{2 x}$
196057	Simplify	(2x+z)(x-3y)	$(2 x + z) (x - 3 y)$
196058	Solve for s	5(1+s)=-9s+6	$5 (1 + s) = - 9 s + 6$
196059	Find the Domain and Range	f(x)=1/(x^2+64)+4	$f (x) = \frac{1}{x^{2} + 64} + 4$
196060	Simplify	4^3-(\|-8\|*6)÷16	$4^{3} - \| - 8 \| \cdot 6 \div 16$
196061	Solve for l	k=4l-7	$k = 4 l - 7$
196062	Simplify	(3 square root of 12x^5)(4 square root of 12x^3)	$(3 \sqrt{12 x^{5}}) (4 \sqrt{12 x^{3}})$
196063	Solve the System of Inequalities	-2x+1>3 or -3x+4<=-5	$- 2 x + 1 > 3$ or $- 3 x + 4 \leq - 5$
196064	Solve for x	5x+6x-16=3x+2x-4	$5 x + 6 x - 16 = 3 x + 2 x - 4$
196065	Evaluate	3^-1-2	$3^{- 1} - 2$
196066	Simplify	(2a^-2)(3a^3b^2)(c^-2)	$(2 a^{- 2}) (3 a^{3} b^{2}) (c^{- 2})$
196067	Solve for x	x=5x-13	$x = 5 x - 13$
196068	Solve for c	1/4c-3(1/2c+3)=-3/4c	$\frac{1}{4} c - 3 (\frac{1}{2} c + 3) = \frac{- 3}{4} c$
196069	Simplify	10s+s-3s	$10 s + s - 3 s$
196070	Find All Complex Solutions	3x^5-2x+1=0	$3 x^{5} - 2 x + 1 = 0$
196071	Solve the Inequality for x	-4x+6<=2x	$- 4 x + 6 \leq 2 x$
196072	Solve for a	17^2=a^2+15^2	$17^{2} = a^{2} + 15^{2}$
196073	Solve for x	(x+7)/3+(x+1)/5=2x+4	$\frac{x + 7}{3} + \frac{x + 1}{5} = 2 x + 4$
196074	Find the Perfect Square Trinomial	x^2-2xy+y^2	$x^{2} - 2 x y + y^{2}$
196075	Solve for s	cos(s)^2=1/2	$\cos^{2} (s) = \frac{1}{2}$
196076	Solve the System of Inequalities	3>(11+k)/4>=-3	$3 > \frac{11 + k}{4} \geq - 3$
196077	Solve for x	7-3x=2x+7-5x	$7 - 3 x = 2 x + 7 - 5 x$
196078	Solve for a	(x+4)(ax^2+bx+c)=-2x^3-7x^2+3x-4	$(x + 4) (a x^{2} + b x + c) = - 2 x^{3} - 7 x^{2} + 3 x - 4$
196079	Graph	x+y<=5 x+y<=4 x>=0 y>=0	$x + y \leq 5$ $x + y \leq 4$ $x \geq 0$ $y \geq 0$
196080	Graph	slope of 0	slope of $0$
196081	Solve for x	(x+5)/(x+3)+x/(x+7)=x/(x+7)	$\frac{x + 5}{x + 3} + \frac{x}{x + 7} = \frac{x}{x + 7}$
196082	Solve for x	-2(x-2)-4x=3(x+1)-9x	$- 2 (x - 2) - 4 x = 3 (x + 1) - 9 x$
196083	Simplify	(3x+2)/(4x-5)-(x-1)/(5-4x)	$\frac{3 x + 2}{4 x - 5} - \frac{x - 1}{5 - 4 x}$
196084	Solve for x	x+x+1/6x=13	$x + x + \frac{1}{6} x = 13$
196085	Solve for x	0.2(x+3)-4(2x-3)=0.9	$0.2 (x + 3) - 4 (2 x - 3) = 0.9$
196086	Simplify	w^3(3w^2+2w)+5w^4	$w^{3} (3 w^{2} + 2 w) + 5 w^{4}$
196087	Simplify	limit as x approaches 0 of ( square root of x+2- square root of 2)/x	$lim_{x \to 0} \frac{\sqrt{x + 2} - \sqrt{2}}{x}$
196088	Find All Complex Solutions	1/(x-1)=(x-2)/(2x^2-2)	$\frac{1}{x - 1} = \frac{x - 2}{2 x^{2} - 2}$
196089	Solve the Rational Equation for x	x^2+(11x)/3=5/12	$x^{2} + \frac{11 x}{3} = \frac{5}{12}$
196090	Convert to Interval Notation	x^2<=x+12	$x^{2} \leq x + 12$
196091	Describe the Transformation	g(x)=-1/2f(x-2)	$g (x) = - \frac{1}{2} f (x - 2)$
196092	Simplify	square root of -16+ square root of 8+ square root of -36	$\sqrt{- 16} + \sqrt{8} + \sqrt{- 36}$
196093	Solve for A	A(t)=P(1+r/n)^(nt)	$A (t) = P {(1 + \frac{r}{n})}^{n t}$
196094	Graph	y=x^2+4,x>=2; x+4,x<2	$y = {\begin{cases} x^{2} + 4, x \geq 2 \\ x + 4, x < 2 \end{cases}$
196095	Solve the Inequality for x	(x^2+2x)/(x^2-9)<=0	$\frac{x^{2} + 2 x}{x^{2} - 9} \leq 0$
196096	Solve for x	natural log of 2x^2-15 = natural log of x^2+34	$\ln (2 x^{2} - 15) = \ln (x^{2} + 34)$
196097	Find the x and y Intercepts	r(x)=(x^2+3x-10)/((x+1)(x-3)(x+5))	$r (x) = \frac{x^{2} + 3 x - 10}{(x + 1) (x - 3) (x + 5)}$
196098	Find the Perfect Square Trinomial	x^2+x+1/4	$x^{2} + x + \frac{1}{4}$
196099	Find g(f(x))	f(x)=8x-7 and g(x)=(x+7)/8	$f (x) = 8 x - 7$ and $g (x) = \frac{x + 7}{8}$
196100	Evaluate	-8=-3-6 cube root of x^2	$- 8 = - 3 - 6 \sqrt[3]{x^{2}}$