Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
235601	Solve the System of Inequalities	x+y>=3 x+2y>=5	$x + y \geq 3$ $x + 2 y \geq 5$
235602	Expand the Logarithmic Expression	natural log of ((3x)/(y^2))^4	$\ln ({(\frac{3 x}{y^{2}})}^{4})$
235603	Graph	graph the line x=-4	graph the line $x = - 4$
235604	Multiply	7 square root of 3*9 square root of 15	$7 \sqrt{3} \cdot 9 \sqrt{15}$
235605	Graph	Graph y=x-3	Graph $y = x - 3$
235606	Solve Using the Quadratic Formula	4.5x^2+3x+1/2=0	$4.5 x^{2} + 3 x + \frac{1}{2} = 0$
235607	Solve for x	4x-5=x-5+3x	$4 x - 5 = x - 5 + 3 x$
235608	Simplify	5/( cube root of 7- cube root of 2)	$\frac{5}{\sqrt[3]{7} - \sqrt[3]{2}}$
235609	Simplify	((3s^-2t^7)/(6s^3t^-5))^-4	${(\frac{3 s^{- 2} t^{7}}{6 s^{3} t^{- 5}})}^{- 4}$
235610	Solve for w	216=w^3	$216 = w^{3}$
235611	Solve for r	9/5=r-8/5	$\frac{9}{5} = r - \frac{8}{5}$
235612	Simplify	-3 fourth root of 10*3 fourth root of 500	$- 3 \sqrt[4]{10} \cdot 3 \sqrt[4]{500}$
235613	Evaluate	x*x^-1	$x \cdot x^{- 1}$
235614	Solve for y	2 2/5-0.5y=2.4+1/2y	$2 \frac{2}{5} - 0.5 y = 2.4 + \frac{1}{2} y$
235615	Graph	y=3x y=-3x+6	$y = 3 x$ $y = - 3 x + 6$
235616	Solve for M	M=(15^22549)/(35^2*45^2)	$M = \frac{15^{2} \cdot 25 \cdot 49}{35^{2} \cdot 45^{2}}$
235617	Solve for u	square root of u=-5	$\sqrt{u} = - 5$
235618	Evaluate	-6y+13+9y=8y-3	$- 6 y + 13 + 9 y = 8 y - 3$
235619	Solve the Rational Equation for x	(x-2)^(2/3)=100	${(x - 2)}^{\frac{2}{3}} = 100$
235620	Simplify the Radical Expression	cube root of square root of 2	$\sqrt[3]{\sqrt{2}}$
235621	Evaluate	1/2(c-8)	$\frac{1}{2} (c - 8)$
235622	Solve for b	11.3>b/4.3	$11.3 > \frac{b}{4.3}$
235623	Factor	x^2-a^2-2ab-b^2	$x^{2} - a^{2} - 2 a b - b^{2}$
235624	Solve Using the Quadratic Formula	h=-16t^2+80	$h = - 16 t^{2} + 80$
235625	Solve the Rational Equation for x	12/(x-4)=9	$\frac{12}{x - 4} = 9$
235626	Graph	(6/n)^(-)*2	${(\frac{6}{n})}^{-} \cdot 2$
235627	Simplify	(4x^-1)/(y^-1)	$\frac{4 x^{- 1}}{y^{- 1}}$
235628	Write in Standard Form	(4x^2+5x+4)(x^2-3x+1)	$(4 x^{2} + 5 x + 4) (x^{2} - 3 x + 1)$
235629	Simplify the Radical Expression	square root of 3*2	$\sqrt{3} \cdot 2$
235630	Simplify	( square root of 84)/(2 square root of 3)	$\frac{\sqrt{84}}{2 \sqrt{3}}$
235631	Factor	y=2x^3+x^2	$y = 2 x^{3} + x^{2}$
235632	Write in Standard Form	x^2+y^2+14x+13=0	$x^{2} + y^{2} + 14 x + 13 = 0$
235633	Find the Roots (Zeros)	18 square root of 5x+10	$18 \sqrt{5 x} + 10$
235634	Simplify	((-2)^3x^4(yz)^2)/(3^2xy^3z)	$\frac{{(- 2)}^{3} x^{4} {(y z)}^{2}}{3^{2} x y^{3} z}$
235635	Simplify	(3x^3+7x^2)+(x^2-2x^3)	$(3 x^{3} + 7 x^{2}) + (x^{2} - 2 x^{3})$
235636	Write in Slope-Intercept Form	x/4-y/6=1	$\frac{x}{4} - \frac{y}{6} = 1$
235637	Simplify	(9x*10^-3)^2	${(9 x \cdot 10^{- 3})}^{2}$
235638	Simplify	2/(xy)+yx	$\frac{2}{x y} + y x$
235639	Evaluate	( square root of 56( square root of 28+ square root of 21- square root of 7))/( square root of 2)	$\frac{\sqrt{56} (\sqrt{28} + \sqrt{21} - \sqrt{7})}{\sqrt{2}}$
235640	Solve for h	8 square root of h-5 = square root of h+7	$8 \sqrt{h - 5} = \sqrt{h + 7}$
235641	Simplify	(5y-3)/(6y)+(y+2)/(4y)	$\frac{5 y - 3}{6 y} + \frac{y + 2}{4 y}$
235642	Evaluate	((3+(6)(3))/3)+2(2-5)^2	$(\frac{3 + (6) (3)}{3}) + 2 {(2 - 5)}^{2}$
235643	Divide	(3/20)÷(-21/16)	$\frac{3}{20} \div (- \frac{21}{16})$
235644	Find the Roots (Zeros)	i	$i$
235645	Solve for x	(-3x+1)/(x-2)-5/(x-6)=4/(x^2-8x+12)	$\frac{- 3 x + 1}{x - 2} - \frac{5}{x - 6} = \frac{4}{x^{2} - 8 x + 12}$
235646	Graph	f(x)=(-5x+10)/(2x^2-8)	$f (x) = \frac{- 5 x + 10}{2 x^{2} - 8}$
235647	Convert to Radical Form	(9ab)^(1/3)	${(9 a b)}^{\frac{1}{3}}$
235648	Simplify	2x^3+4y^2-2x^3	$2 x^{3} + 4 y^{2} - 2 x^{3}$
235649	Write the Fraction in Simplest Form	9/10-1/2	$\frac{9}{10} - \frac{1}{2}$
235650	Solve the Inequality for x	3x-5=x+3	$3 x - 5 = x + 3$
235651	Solve for y	y^5=32	$y^{5} = 32$
235652	Simplify	1/2*2x	$\frac{1}{2} \cdot 2 x$
235653	Simplify	(m^2n^-1p)/(mn^3p^-2)	$\frac{m^{2} n^{- 1} p}{m n^{3} p^{- 2}}$
235654	Find the Domain and Range	y=2tan(x-pi/4)	$y = 2 \tan (x - \frac{π}{4})$
235655	Solve by Substitution	y=2x+2 y=0	$y = 2 x + 2$ $y = 0$
235656	Solve for z	14-z^2=17	$14 - z^{2} = 17$
235657	Solve for w	2w-5(w+1)=3w+1	$2 w - 5 (w + 1) = 3 w + 1$
235658	Find the Domain and Range	e^(-x^2)	$e^{- x^{2}}$
235659	Simplify the Radical Expression	-7 cube root of 54x^12	$- 7 \sqrt[3]{54 x^{12}}$
235660	Convert to a Simplified Fraction	20% as a fraction	$20 %$ as a fraction
235661	Evaluate	cube root of 0.125b^3	$\sqrt[3]{0.125 b^{3}}$
235662	Solve for x	5-x=1/2(4-x)	$5 - x = \frac{1}{2} (4 - x)$
235663	Graph	1/(3x^(2/3))	$\frac{1}{3 x^{\frac{2}{3}}}$
235664	Simplify	((2xy^2)/(x^4y))^-2	${(\frac{2 x y^{2}}{x^{4} y})}^{- 2}$
235665	Simplify	( square root of 3+ square root of 2)*( square root of 3- square root of 2)	$(\sqrt{3} + \sqrt{2}) \cdot (\sqrt{3} - \sqrt{2})$
235666	Find the Roots (Zeros)	1/2x^2-8=0	$\frac{1}{2} x^{2} - 8 = 0$
235667	Evaluate the Function	f(-4)=2(-4)^3+2	$f (- 4) = 2 {(- 4)}^{3} + 2$
235668	Write in Standard Form	(x^2+6x-7)(-x^2-9x-4)	$(x^{2} + 6 x - 7) (- x^{2} - 9 x - 4)$
235669	Simplify	( cube root of x^6)/( fourth root of x^6)	$\frac{\sqrt[3]{x^{6}}}{\sqrt[4]{x^{6}}}$
235670	Solve for n	48 is 75% of what number	$48$ is $75 %$ of what number
235671	Solve the Rational Equation for x	x/(x+4)+1=-4/(x+4)	$\frac{x}{x + 4} + 1 = - \frac{4}{x + 4}$
235672	Find the Degree, Leading Term, and Leading Coefficient	f(x)=13-2x^2+6x-9x^3	$f (x) = 13 - 2 x^{2} + 6 x - 9 x^{3}$
235673	Find the Roots (Zeros)	x^5-2x^4-24x^3=0	$x^{5} - 2 x^{4} - 24 x^{3} = 0$
235674	Solve for x	square root of x-2x+6=0	$\sqrt{x} - 2 x + 6 = 0$
235675	Evaluate	(10\|-2\|)/4+\|-2-5\|	$\frac{10 \| - 2 \|}{4} + \| - 2 - 5 \|$
235676	Solve for y	y=\|8+11\|	$y = \| 8 + 11 \|$
235677	Factor by Grouping	2x^3+x^2y-6xy^2-3y^3	$2 x^{3} + x^{2} y - 6 x y^{2} - 3 y^{3}$
235678	Evaluate	(1- square root of x)^2	${(1 - \sqrt{x})}^{2}$
235679	Simplify	Simplify 10(N+3)	Simplify $10 (N + 3)$
235680	Solve for x	y=e+2^x	$y = e + 2^{x}$
235681	Divide Using Long Polynomial Division	Use the long division method to find the result when 8x^3-10x^2-x+3 is divided by 4x-3	Use the long division method to find the result when $8 x^{3} - 10 x^{2} - x + 3$ is divided by $4 x - 3$
235682	Simplify	((x^8)/(z^16))^(1/4)	${(\frac{x^{8}}{z^{16}})}^{\frac{1}{4}}$
235683	Solve for u	8(u+1.5)-7u=-4.9	$8 (u + 1.5) - 7 u = - 4.9$
235684	Simplify	((4a)^3)/(a^5)	$\frac{{(4 a)}^{3}}{a^{5}}$
235685	Factor	x^2+2xy+x	$x^{2} + 2 x y + x$
235686	Find the Inverse	f(x)=(7+3x)/(5x+6)	$f (x) = \frac{7 + 3 x}{5 x + 6}$
235687	Find the x and y Intercepts	y=sin(x)+1	$y = \sin (x) + 1$
235688	Write in Standard Form	x^2-y^2-6x+4y=-4	$x^{2} - y^{2} - 6 x + 4 y = - 4$
235689	Solve for x	sin(x)=( square root of 3)/2 , cos(x)=-1/2	$\sin (x) = \frac{\sqrt{3}}{2}$ , $\cos (x) = - \frac{1}{2}$
235690	Solve for x	x-y=11 2x+y=19	$x - y = 11$ $2 x + y = 19$
235691	Solve Using the Square Root Property	4(x-6)^2-27=-23	$4 {(x - 6)}^{2} - 27 = - 23$
235692	Solve for x	3x=a/b(x-1)	$3 x = \frac{a}{b} (x - 1)$
235693	Solve for p	p/2 1/7=-5.3	$\frac{p}{2 \frac{1}{7}} = - 5.3$
235694	Solve for x	6tan(x)^2-2=4	$6 \tan^{2} (x) - 2 = 4$
235695	Simplify	(r^2(r+3))/(r(r-3))	$\frac{r^{2} (r + 3)}{r (r - 3)}$
235696	Simplify	3ab(a^2-2ab+b^2)	$3 a b (a^{2} - 2 a b + b^{2})$
235697	Solve for h	D(h)=111.7 square root of h	$D (h) = 111.7 \sqrt{h}$
235698	Solve the Inequality for x	1/5<=x/15	$\frac{1}{5} \leq \frac{x}{15}$
235699	Solve for θ	sin(theta)=0.4	$\sin (θ) = 0.4$
235700	Solve for x	1/x+(3x+12)/(x^2-5x)=(7x-56)/(x^2-5x)	$\frac{1}{x} + \frac{3 x + 12}{x^{2} - 5 x} = \frac{7 x - 56}{x^{2} - 5 x}$