Mathway | Popular Problems

Popular Problems

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