Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
183601	Solve the Inequality for x	12/(x^2+2x)<3/(x^2+4x+4)	$\frac{12}{x^{2} + 2 x} < \frac{3}{x^{2} + 4 x + 4}$
183602	Simplify	t/6-t/10	$\frac{t}{6} - \frac{t}{10}$
183603	Find the Exact Value	-\|-7\|	$- \| - 7 \|$
183604	Solve for v	u=vw+z ; for v	$u = v w + z$ ; for $v$
183605	Subtract	(3-6n^5-8n^4)-(-6n^4-3n-8n^5)	$(3 - 6 n^{5} - 8 n^{4}) - (- 6 n^{4} - 3 n - 8 n^{5})$
183606	Simplify	xy*xy	$x y \cdot x y$
183607	Solve for m	7e^(2m-1)-3=11	$7 e^{2 m - 1} - 3 = 11$
183608	Graph	y<=-x-6 y<=1/3x-2	$y \leq - x - 6$ $y \leq \frac{1}{3} x - 2$
183609	Solve Using the Quadratic Formula	mx^2-nx+1=0	$m x^{2} - n x + 1 = 0$
183610	Solve for x	x/a+bx=c/a	$\frac{x}{a} + b x = \frac{c}{a}$
183611	Find the Excluded Values	(x^2-10x-24)/(x^2-3x-108)	$\frac{x^{2} - 10 x - 24}{x^{2} - 3 x - 108}$
183612	Find All Complex Solutions	4^x=16	$4^{x} = 16$
183613	Find f(g(x))	f(x)=2x-4 and g(x)=4x^2-2	$f (x) = 2 x - 4$ and $g (x) = 4 x^{2} - 2$
183614	Find the x and y Intercepts	f(x)=-(x+3)(4x-5)(x-1)	$f (x) = - (x + 3) (4 x - 5) (x - 1)$
183615	Solve for x	6(x+1)+5=13-2+6x	$6 (x + 1) + 5 = 13 - 2 + 6 x$
183616	Solve by Factoring	x(x-1)-5(x-2)=2	$x (x - 1) - 5 (x - 2) = 2$
183617	Simplify	(-x^2-2x-2)(x^2+x-3)	$(- x^{2} - 2 x - 2) (x^{2} + x - 3)$
183618	Evaluate	2/3(2)^(3/2)	$\frac{2}{3} {(2)}^{\frac{3}{2}}$
183619	Subtract	(x+9)/(x+3)-(-4x-6)/(x+3)	$\frac{x + 9}{x + 3} - \frac{- 4 x - 6}{x + 3}$
183620	Divide Using Synthetic Division	(x^3+6x^2-5x)/(x-2)	$\frac{x^{3} + 6 x^{2} - 5 x}{x - 2}$
183621	Simplify	(2y^3)/(2y^4+16y^3)	$\frac{2 y^{3}}{2 y^{4} + 16 y^{3}}$
183622	Simplify	23xy4z2xyz	$2 \cdot 3 x \cdot y \cdot 4 z \cdot 2 x \cdot y \cdot z$
183623	Combine Like Terms	(8x^2+8x)-(-9x^2+8x)	$(8 x^{2} + 8 x) - (- 9 x^{2} + 8 x)$
183624	Solve the Inequality for x	2(3x-2)>=2	$2 (3 x - 2) \geq 2$
183625	Solve Using the Quadratic Formula	f(x)=x^2-4x	$f (x) = x^{2} - 4 x$
183626	Solve the Inequality for x	\|x-7\|<2	$\| x - 7 \| < 2$
183627	Solve the System of Equations	5x-y=6 -2x+y=8	$5 x - y = 6$ $- 2 x + y = 8$
183628	Evaluate	g(r)=-5r+13	$g (r) = - 5 r + 13$
183629	Simplify	(2/(x-1)+1/x)/(8/x)	$\frac{\frac{2}{x - 1} + \frac{1}{x}}{\frac{8}{x}}$
183630	Solve for x	x^2(4x-3)(5x-1)=0	$x^{2} (4 x - 3) (5 x - 1) = 0$
183631	Find All Complex Solutions	x^2=121	$x^{2} = 121$
183632	Find the x and y Intercepts	f(x)=-\|1/3(x+3)\|	$f (x) = - \| \frac{1}{3} (x + 3) \|$
183633	Simplify	(x+y)(x+y)(x+y)	$(x + y) (x + y) (x + y)$
183634	Find the Quotient	(8x^4-12x+1)÷(2x^2-1)	$(8 x^{4} - 12 x + 1) \div (2 x^{2} - 1)$
183635	Find g(f(x))	f(x)=(x-7)/2 g(x)=2x+7	$f (x) = \frac{x - 7}{2}$ $g (x) = 2 x + 7$
183636	Graph	f^-1(x)=x/2-5/2	$f^{- 1} (x) = \frac{x}{2} - \frac{5}{2}$
183637	Solve the Inequality for x	(x-2)/(x-4)>0	$\frac{x - 2}{x - 4} > 0$
183638	Graph	x-4y>=-4 3x+y<=6	$x - 4 y \geq - 4$ $3 x + y \leq 6$
183639	Multiply	1/2(-3)	$\frac{1}{2} (- 3)$
183640	Solve for x	2=4x^2-5	$2 = 4 x^{2} - 5$
183641	Simplify	(x-3)^2+x(x+9)	${(x - 3)}^{2} + x (x + 9)$
183642	Graph	f(x)=-1/2(x+3)^2	$f (x) = - \frac{1}{2} {(x + 3)}^{2}$
183643	Graph	m=2 , b=2	$m = 2$ , $b = 2$
183644	Evaluate	(2+x)(2-x)	$(2 + x) (2 - x)$
183645	Solve for x	30x=9x^2+25	$30 x = 9 x^{2} + 25$
183646	Solve for b	P=a+b+c ; Solve for b	$P = a + b + c$ ; Solve for $b$
183647	Solve for x	1/2\|5x-15\|=10	$\frac{1}{2} \| 5 x - 15 \| = 10$
183648	Solve the System of Equations	-3x=3-y 2y=6x+6	$- 3 x = 3 - y$ $2 y = 6 x + 6$
183649	Solve the Inequality for x	x^3<4x	$x^{3} < 4 x$
183650	Find the Exact Value	(3/2)^3	${(\frac{3}{2})}^{3}$
183651	Graph	y=x^2+4,x>2; -x+4,x<=2	$y = {\begin{cases} x^{2} + 4, x > 2 \\ - x + 4, x \leq 2 \end{cases}$
183652	Solve for x	y=(x^2)/4	$y = \frac{x^{2}}{4}$
183653	Solve for u	2(4-1/3u)=-u+2	$2 (4 - \frac{1}{3} u) = - u + 2$
183654	Find the Exact Value	i^8	$i^{8}$
183655	Simplify	(24a)/(32b^2)	$\frac{24 a}{32 b^{2}}$
183656	Solve for b	-11-5b=-6b-3	$- 11 - 5 b = - 6 b - 3$
183657	Solve the Inequality for x	(x-6)/((x-2)(x-8))<0	$\frac{x - 6}{(x - 2) (x - 8)} < 0$
183658	Simplify	1/(1/(x^2))	$\frac{1}{\frac{1}{x^{2}}}$
183659	Find the x and y Intercepts	f(x)=-2x(x-1)(3x-6)(x-2)	$f (x) = - 2 x (x - 1) (3 x - 6) (x - 2)$
183660	Solve the Inequality for x	square root of 2x+6>0	$\sqrt{2 x + 6} > 0$
183661	Find the Function	f(x)=3x^2-4x	$f (x) = 3 x^{2} - 4 x$
183662	Solve the Inequality for x	(x-4)^2(x+1)>=0	${(x - 4)}^{2} (x + 1) \geq 0$
183663	Solve for x	2(x-3)=1/2(4x-12)	$2 (x - 3) = \frac{1}{2} (4 x - 12)$
183664	Solve for x	3/4(2x+1)=2	$\frac{3}{4} (2 x + 1) = 2$
183665	Simplify	log of 16x^2+2 log of 1/x	$\log (16 x^{2}) + 2 \log (\frac{1}{x})$
183666	Solve for x	(1/8)^(-x+11)=16^(2x-7)	${(\frac{1}{8})}^{- x + 11} = 16^{2 x - 7}$
183667	Evaluate	-20/(2(-16))	$- \frac{20}{2 (- 16)}$
183668	Solve the System of Inequalities	3<=6x-3<=9	$3 \leq 6 x - 3 \leq 9$
183669	Graph	y=y	$y = y$
183670	Write Using Positive Exponents	4x^-4	$4 x^{- 4}$
183671	Simplify	(10-3 square root of 2)/( square root of 2-1)	$\frac{10 - 3 \sqrt{2}}{\sqrt{2} - 1}$
183672	Simplify	(-8-2i)/(6i)	$\frac{- 8 - 2 i}{6 i}$
183673	Simplify	(2x^2-162)/(2x^2-8x-90)*(x-7)/(x^5+2x^4-63x^3)	$\frac{2 x^{2} - 162}{2 x^{2} - 8 x - 90} \cdot \frac{x - 7}{x^{5} + 2 x^{4} - 63 x^{3}}$
183674	Factor	1/27x^3+1/125y^3	$\frac{1}{27} x^{3} + \frac{1}{125} y^{3}$
183675	Find the Exact Value	(3/5)^-2	${(\frac{3}{5})}^{- 2}$
183676	Solve for x	6(x/2+4)>=9	$6 (\frac{x}{2} + 4) \geq 9$
183677	Solve for x	(x-10)^2+10=100	${(x - 10)}^{2} + 10 = 100$
183678	Solve for x	2 log base 7 of x = log base 7 of 27+ log base 7 of 3	$2 \log_{7} (x) = \log_{7} (27) + \log_{7} (3)$
183679	Simplify	8/(6n-4)*(9n^2-4)/1	$\frac{8}{6 n - 4} \cdot \frac{9 n^{2} - 4}{1}$
183680	Write the Fraction in Simplest Form	1/4+1/3	$\frac{1}{4} + \frac{1}{3}$
183681	Simplify	(7-10i)/(3+i)	$\frac{7 - 10 i}{3 + i}$
183682	Solve for w	\|6w+4\|=2w-10	$\| 6 w + 4 \| = 2 w - 10$
183683	Solve for x	18=3\|4x-10\|	$18 = 3 \| 4 x - 10 \|$
183684	Solve by Substitution	y=2x+3 and 2y-2x=8	$y = 2 x + 3$ and $2 y - 2 x = 8$
183685	Solve for k	-4\|7-6k\|=14	$- 4 \| 7 - 6 k \| = 14$
183686	Expand the Logarithmic Expression	log of ( square root of z^5y^2)/(x^4)	$\log (\frac{\sqrt{z^{5}} y^{2}}{x^{4}})$
183687	Simplify	(x^2-4x)/(x-1)*(x^2+3x-4)/(2x)	$\frac{x^{2} - 4 x}{x - 1} \cdot \frac{x^{2} + 3 x - 4}{2 x}$
183688	Simplify	(2x^2-18)/(x^4+3x^3-18x^2)*(x^2-36)/(x^2-3x-18)	$\frac{2 x^{2} - 18}{x^{4} + 3 x^{3} - 18 x^{2}} \cdot \frac{x^{2} - 36}{x^{2} - 3 x - 18}$
183689	Find the x and y Intercepts	f(x)=2x(x+6)(x^2+4)	$f (x) = 2 x (x + 6) (x^{2} + 4)$
183690	Find the x and y Intercepts	f(x)=-8x+x^4-6x^3+5x^2	$f (x) = - 8 x + x^{4} - 6 x^{3} + 5 x^{2}$
183691	Simplify	square root of 3-2	$\sqrt{3 - 2}$
183692	Graph Using a Table of Values	y=x^2+2x	$y = x^{2} + 2 x$
183693	Solve the Inequality for b	4b(1-3b)-(b-12b^2)<43	$4 b (1 - 3 b) - (b - 12 b^{2}) < 43$
183694	Solve for c	-5c^2-c=-2	$- 5 c^{2} - c = - 2$
183695	Simplify	5x^3+3x^2-(-x-6x^2)+4x-x^2	$5 x^{3} + 3 x^{2} - (- x - 6 x^{2}) + 4 x - x^{2}$
183696	Factor	8x^9-125y^3z^6	$8 x^{9} - 125 y^{3} z^{6}$
183697	Solve for x	6/(x^2-4x+3)-1/(x-3)=-2/(4x-4)	$\frac{6}{x^{2} - 4 x + 3} - \frac{1}{x - 3} = \frac{- 2}{4 x - 4}$
183698	Find the Midpoint	(10,10) and (2,6)	$(10, 10)$ and $(2, 6)$
183699	Solve for c	bc+3g=2k	$b c + 3 g = 2 k$
183700	Solve for x	20=240(0.945)^(3x+4)	$20 = 240 {(0.945)}^{3 x + 4}$