Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
168601	Write as a Single Logarithm	log of 12+2 log of x	$\log (12) + 2 \log (x)$
168602	Solve for x	2x=2x	$2 x = 2 x$
168603	Find the Exact Value	sec(pi/6)^2	$\sec^{2} (\frac{π}{6})$
168604	Factor	y^5-y^3-y^2+1	$y^{5} - y^{3} - y^{2} + 1$
168605	Solve for x	( square root of 2)/2csc(x)-1=0	$\frac{\sqrt{2}}{2} \csc (x) - 1 = 0$
168606	Find All Complex Solutions	sec(theta)+2=0	$\sec (θ) + 2 = 0$
168607	Graph	f(x)=(1/2)(x-2)^2(x+1)(x+2)	$f (x) = (\frac{1}{2}) {(x - 2)}^{2} (x + 1) (x + 2)$
168608	Solve for n	(2n-4)/5=(3n+3)/10	$\frac{2 n - 4}{5} = \frac{3 n + 3}{10}$
168609	Divide	(3x^3)/x	$\frac{3 x^{3}}{x}$
168610	Simplify	(4(5/x)+3)/(5(5/x)+2)	$\frac{4 (\frac{5}{x}) + 3}{5 (\frac{5}{x}) + 2}$
168611	Solve for w	w(w-10)+40=0	$w (w - 10) + 40 = 0$
168612	Solve for x	x^4+4=5x^2	$x^{4} + 4 = 5 x^{2}$
168613	Factor	4m*5^2-20 am	$4 m \cdot 5^{2} - 20$ am
168614	Graph Using a Table of Values	f(x)=3(2)^x	$f (x) = 3 {(2)}^{x}$
168615	Solve for x	5/x=(x+13)/6	$\frac{5}{x} = \frac{x + 13}{6}$
168616	Graph	g(x)=1/2 square root of x	$g (x) = \frac{1}{2} \sqrt{x}$
168617	Solve for y	-3(-5)+7y=5(-5)+2y	$- 3 (- 5) + 7 y = 5 (- 5) + 2 y$
168618	Find the x and y Intercepts	f(x)=(x^2-4)/(2x^2-11x+14)	$f (x) = \frac{x^{2} - 4}{2 x^{2} - 11 x + 14}$
168619	Graph	-1<9+n<17	$- 1 < 9 + n < 17$
168620	Solve the Inequality for x	12(2x-3)>60	$12 (2 x - 3) > 60$
168621	Factor	-49y^6z^4-16x^3y^3z^7	$- 49 y^{6} z^{4} - 16 x^{3} y^{3} z^{7}$
168622	Evaluate	12÷43+18÷93-4*3	$12 \div 4 \cdot 3 + 18 \div 9 \cdot 3 - 4 \cdot 3$
168623	Solve for x	5(x+8)=2x-7+8(x-1)	$5 (x + 8) = 2 x - 7 + 8 (x - 1)$
168624	Graph	2x-(3-x)>x+1	$2 x - (3 - x) > x + 1$
168625	Solve for x	-2(4+3x)=3(x-2)	$- 2 (4 + 3 x) = 3 (x - 2)$
168626	Solve the Inequality for x	x^3-3x^2-x+3>0	$x^{3} - 3 x^{2} - x + 3 > 0$
168627	Solve for y	3(4y-1)=2(5y+1/2)	$3 (4 y - 1) = 2 (5 y + \frac{1}{2})$
168628	Graph	y=f(5)	$y = f (5)$
168629	Solve for w	9w=4x	$9 w = 4 x$
168630	Solve for I	e=Ir	$e = I r$
168631	Find the Exact Value	square root of -100	$\sqrt{- 100}$
168632	Solve for x	-5-1/(x-5)=-x/(x-5)	$- 5 - \frac{1}{x - 5} = - \frac{x}{x - 5}$
168633	Write in Standard Form	f(x)=2x^2-6x	$f (x) = 2 x^{2} - 6 x$
168634	Factor	1-(a^2)/25	$1 - \frac{a^{2}}{25}$
168635	Solve for X	W=XYZ	$W = X Y Z$
168636	Simplify	(2/3x^a-5/3x^(a+1))+(4/3x^a-1/3x^(a+1))	$(\frac{2}{3} x^{a} - \frac{5}{3} x^{a + 1}) + (\frac{4}{3} x^{a} - \frac{1}{3} x^{a + 1})$
168637	Find the Exact Value	i^7	$i^{7}$
168638	Solve for x	(4(5+x))/3=2x+2	$\frac{4 (5 + x)}{3} = 2 x + 2$
168639	Solve the Rational Equation for x	1/4=3/x-1/2	$\frac{1}{4} = \frac{3}{x} - \frac{1}{2}$
168640	Simplify	(3x^2-3x)/(x^2+3x-4)*(x^2-16)/(3x^2)	$\frac{3 x^{2} - 3 x}{x^{2} + 3 x - 4} \cdot \frac{x^{2} - 16}{3 x^{2}}$
168641	Solve for t	1/8t-5+1/4t=t+5	$\frac{1}{8} t - 5 + \frac{1}{4} t = t + 5$
168642	Simplify	2x*3x^2	$2 x \cdot 3 x^{2}$
168643	Find f(g(x))	f(x)=7x and g(x)=x/7	$f (x) = 7 x$ and $g (x) = \frac{x}{7}$
168644	Solve for x	3x+8-2(1-x)=1	$3 x + 8 - 2 (1 - x) = 1$
168645	Graph	x+5y>=5 y<=2x+4	$x + 5 y \geq 5$ $y \leq 2 x + 4$
168646	Simplify	(8x^2-9y^2-4x)+(x^2-3y^2-7x)	$(8 x^{2} - 9 y^{2} - 4 x) + (x^{2} - 3 y^{2} - 7 x)$
168647	Find All Complex Solutions	4sin(x)^2=5+4cos(x)	$4 \sin^{2} (x) = 5 + 4 \cos (x)$
168648	Simplify the Radical Expression	2a^(-1/2)	$2 a^{- \frac{1}{2}}$
168649	Simplify	7n-2n+3p+2p	$7 n - 2 n + 3 p + 2 p$
168650	Solve for x	7=\|x/7\|	$7 = \| \frac{x}{7} \|$
168651	Find the LCD	8/(x^2+8x-20) and -2/(x^2+2x)	$\frac{8}{x^{2} + 8 x - 20}$ and $\frac{- 2}{x^{2} + 2 x}$
168652	Solve the System of Equations	x-y-2z=-6 3x+2y=-25 -4x+y-z=12	$x - y - 2 z = - 6$ $3 x + 2 y = - 25$ $- 4 x + y - z = 12$
168653	Solve the System of Inequalities	-36<3p-6<-15	$- 36 < 3 p - 6 < - 15$
168654	Simplify	9/(5x)-2/(5x^2)	$\frac{9}{5 x} - \frac{2}{5 x^{2}}$
168655	Combine Like Terms	-5-2x^2+6-2y-2y-5x^2+6x^2	$- 5 - 2 x^{2} + 6 - 2 y - 2 y - 5 x^{2} + 6 x^{2}$
168656	Simplify	square root of -10* square root of -24	$\sqrt{- 10} \cdot \sqrt{- 24}$
168657	Solve for a	(x^(2/3))^2 cube root of x^2=x^a	${(x^{\frac{2}{3}})}^{2} \sqrt[3]{x^{2}} = x^{a}$
168658	Solve for x	x^2+1=2x-3	$x^{2} + 1 = 2 x - 3$
168659	Solve for n	41-2n=2+n	$41 - 2 n = 2 + n$
168660	Write in Standard Form	-7x+4=x^2	$- 7 x + 4 = x^{2}$
168661	Simplify	(2x)/(5x)	$\frac{2 x}{5 x}$
168662	Combine Like Terms	-7y-6y^3+2y+4y^3-5-1-2y^3	$- 7 y - 6 y^{3} + 2 y + 4 y^{3} - 5 - 1 - 2 y^{3}$
168663	Solve for x	2/10=3/(x-9)	$\frac{2}{10} = \frac{3}{x - 9}$
168664	Graph Using a Table of Values	f(x)=2^x+3	$f (x) = 2^{x} + 3$
168665	Find the Product	(6x-3y)^2	${(6 x - 3 y)}^{2}$
168666	Solve for x	5(-2x+7)+3=-10x+38	$5 (- 2 x + 7) + 3 = - 10 x + 38$
168667	Solve the Inequality for n	x^2-4nx+4m>0	$x^{2} - 4 n x + 4 m > 0$
168668	Find the Quotient	(6x^4+15x^2-8-20x^3)÷(-x^2+2x-1)	$(6 x^{4} + 15 x^{2} - 8 - 20 x^{3}) \div (- x^{2} + 2 x - 1)$
168669	Simplify	(12x^3-8x^2)-(3x^3+9x^2+x-7)	$(12 x^{3} - 8 x^{2}) - (3 x^{3} + 9 x^{2} + x - 7)$
168670	Solve the System of Inequalities	-1.2<1-2y<2.4	$- 1.2 < 1 - 2 y < 2.4$
168671	Solve for a	ax^2-bx-c=0	$a x^{2} - b x - c = 0$
168672	Solve for x	g=(x-c)/x ; for x	$g = \frac{x - c}{x}$ ; for $x$
168673	Solve the Absolute Value Inequality for x	2\|3x-2\|=14	$2 \| 3 x - 2 \| = 14$
168674	Solve the Absolute Value Inequality for x	\|x+8\|-5=2	$\| x + 8 \| - 5 = 2$
168675	Simplify	(10 square root of -6)( square root of 42)	$(10 \sqrt{- 6}) (\sqrt{42})$
168676	Solve for f	8+10f>14-2f	$8 + 10 f > 14 - 2 f$
168677	Simplify	(2x+3)/(x-4)-(x-4)/(2x+3)	$\frac{2 x + 3}{x - 4} - \frac{x - 4}{2 x + 3}$
168678	Simplify	2 square root of x*2 square root of x	$2 \sqrt{x} \cdot 2 \sqrt{x}$
168679	Simplify	((-5p^-2)^3)/(-4p^-1)	$\frac{{(- 5 p^{- 2})}^{3}}{- 4 p^{- 1}}$
168680	Solve for x	2x=5+2x	$2 x = 5 + 2 x$
168681	Simplify	(9x^2-y^2)/(21x+7y)	$\frac{9 x^{2} - y^{2}}{21 x + 7 y}$
168682	Multiply	e^x*e^(-x)	$e^{x} \cdot e^{- x}$
168683	Solve for x	9/(3x)=-6/2	$\frac{9}{3 x} = - \frac{6}{2}$
168684	Simplify	(-(w^3)/6)^-2	${(- \frac{w^{3}}{6})}^{- 2}$
168685	Solve the Inequality for x	x-(5-3x)<=2x-1	$x - (5 - 3 x) \leq 2 x - 1$
168686	Convert to Polar	y=3x^2	$y = 3 x^{2}$
168687	Solve for x	1/(x(x-3))=2/(x-3)+3/x	$\frac{1}{x (x - 3)} = \frac{2}{x - 3} + \frac{3}{x}$
168688	Solve the Absolute Value Inequality for n	\|-2n+6\|=6	$\| - 2 n + 6 \| = 6$
168689	Solve the System of Equations	4x+y=2 x-y=3	$4 x + y = 2$ $x - y = 3$
168690	Solve the Inequality for x	6x^2-x<2	$6 x^{2} - x < 2$
168691	Simplify	(-4a^3b^2)^2*(3a^2b)	${(- 4 a^{3} b^{2})}^{2} \cdot (3 a^{2} b)$
168692	Graph	y+2=1/5(x-1)	$y + 2 = \frac{1}{5} (x - 1)$
168693	Find the Perfect Square Trinomial	x^2-25	$x^{2} - 25$
168694	Graph	y>=1/2x-2 y<-2x+4	$y \geq \frac{1}{2} x - 2$ $y < - 2 x + 4$
168695	Find the x and y Intercepts	h(x)=2(3^x)-18	$h (x) = 2 (3^{x}) - 18$
168696	Solve for x	12x+4+2x=39	$12 x + 4 + 2 x = 39$
168697	Solve Using the Square Root Property	x^2=(-1)^2	$x^{2} = {(- 1)}^{2}$
168698	Solve by Completing the Square	x^2-4x+4=2x	$x^{2} - 4 x + 4 = 2 x$
168699	Find the First Term	a_n=n^2+2	$a_{n} = n^{2} + 2$
168700	Factor	9x^2-20-x^4	$9 x^{2} - 20 - x^{4}$