Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
211801	Simplify	2 1/2+3b-1/3b	$2 \frac{1}{2} + 3 b - \frac{1}{3} b$
211802	Solve for x	x/(x+4)-3/(x-4)=3/(x-4)	$\frac{x}{x + 4} - \frac{3}{x - 4} = \frac{3}{x - 4}$
211803	Evaluate	(x^5*x^3)/(x^4)=(x^8)/(x^4)	$\frac{x^{5} \cdot x^{3}}{x^{4}} = \frac{x^{8}}{x^{4}}$
211804	Solve for u	3(3u+2)+5=2(2u-2)	$3 (3 u + 2) + 5 = 2 (2 u - 2)$
211805	Evaluate	natural log of 6/e	$\ln (\frac{6}{e})$
211806	Solve for x	square root of x^2=-8	$\sqrt{x^{2}} = - 8$
211807	Determine the Possible Number of Real Roots	x^3+2x-9=0	$x^{3} + 2 x - 9 = 0$
211808	Factor	3ax+2ay-az+3bx+2by-bz	$3 a x + 2 a y - a z + 3 b x + 2 b y - b z$
211809	Solve for x	3(x-4)=-2+3x-10	$3 (x - 4) = - 2 + 3 x - 10$
211810	Simplify	(g^8h^2m)/(hg^7)	$\frac{g^{8} h^{2} m}{h g^{7}}$
211811	Solve the Inequality for x	-4(x-2)+5<9	$- 4 (x - 2) + 5 < 9$
211812	Find the Perpendicular Line	(-3,3) 2y=8x-6	$(- 3, 3)$ $2 y = 8 x - 6$
211813	Combine Like Terms	4x^2-3x-x^2+3x	$4 x^{2} - 3 x - x^{2} + 3 x$
211814	Solve for x	1/4x^2-7=25	$\frac{1}{4} x^{2} - 7 = 25$
211815	Simplify	(x^2-1)*(1/(x-1)-1/(x+1)+1)	$(x^{2} - 1) \times (\frac{1}{x - 1} - \frac{1}{x + 1} + 1)$
211816	Solve for v	v^2=17v	$v^{2} = 17 v$
211817	Solve for x	x^3-16x<=0	$x^{3} - 16 x \leq 0$
211818	Simplify	3-16÷2*5+3	$3 - 16 \div 2 \cdot 5 + 3$
211819	Evaluate	( log of 100-2 log base 4 of 64)/( log base 7 of 7)	$\frac{\log (100) - 2 \log_{4} (64)}{\log_{7} (7)}$
211820	Write as a Single Logarithm	3 natural log of 5- natural log of 2	$3 \ln (5) - \ln (2)$
211821	Solve for g	g=-5(3)+13	$g = - 5 (3) + 13$
211822	Graph	f(x)=\|x\|-x	$f (x) = \| x \| - x$
211823	Find the Domain and Range	y=(3x)^3	$y = {(3 x)}^{3}$
211824	Simplify	(x+2)/(2x-2)+(4x-3)/(10x-10)	$\frac{x + 2}{2 x - 2} + \frac{4 x - 3}{10 x - 10}$
211825	Solve the Inequality for x	x^2-4x-24>=0	$x^{2} - 4 x - 24 \geq 0$
211826	Multiply	square root of 9( square root of 3+ square root of 8)	$\sqrt{9} (\sqrt{3} + \sqrt{8})$
211827	Simplify	(20x^6y)*(1/4x^2y)	$(20 x^{6} y) \cdot (\frac{1}{4} x^{2} y)$
211828	Solve for x	2/(x+5)-5/(5-x)=x/(x-5)	$\frac{2}{x + 5} - \frac{5}{5 - x} = \frac{x}{x - 5}$
211829	Write in Standard Form	y+17=3(x+6)-14	$y + 17 = 3 (x + 6) - 14$
211830	Simplify the Radical Expression	cube root of (64x^9)/343	$\sqrt[3]{\frac{64 x^{9}}{343}}$
211831	Simplify	square root of 2^(4x-6)	$\sqrt{2^{4 x - 6}}$
211832	Solve for x	4(6-3x)-8x=1/3(105x-18)+125x	$4 (6 - 3 x) - 8 x = \frac{1}{3} (105 x - 18) + 125 x$
211833	Solve for x	-x-5=-1/3(3x+5)	$- x - 5 = - \frac{1}{3} (3 x + 5)$
211834	Find All Complex Solutions	sin(theta)*sec(theta)-2sin(theta)=0	$\sin (θ) \cdot \sec (θ) - 2 \sin (θ) = 0$
211835	Write as a Single Logarithm	1/2( log base 2 of 4+ log base 2 of 16)- log base 2 of 2	$\frac{1}{2} (\log_{2} (4) + \log_{2} (16)) - \log_{2} (2)$
211836	Simplify	( square root of 3)/( square root of 6)	$\frac{\sqrt[2]{3}}{\sqrt{6}}$
211837	Solve the Inequality for x	2^(x-5)<5	$2^{x - 5} < 5$
211838	Solve for b	b^2+5=8b-10	$b^{2} + 5 = 8 b - 10$
211839	Simplify	7/(b^2+5b+4)*(b^2+8b+7)/(b+7)	$\frac{7}{b^{2} + 5 b + 4} \cdot \frac{b^{2} + 8 b + 7}{b + 7}$
211840	Divide	((7x^3)/3)÷((14x^2)/6)	$\frac{7 x^{3}}{3} \div \frac{14 x^{2}}{6}$
211841	Simplify	4*7-(6^2)÷3	$4 \cdot 7 - 6^{2} \div 3$
211842	Write as a Single Logarithm	( log of 3- log of 6)+ log of 2	$(\log (3) - \log (6)) + \log (2)$
211843	Simplify	((7x^2)/(12x))÷((14x^3)/(48y^3))	$\frac{7 x^{2}}{12 x} \div \frac{14 x^{3}}{48 y^{3}}$
211844	Solve for x	log base 2 of 3(2x-1) = log base 2 of 3x-2	$\log_{2} (3) (2 x - 1) = \log_{2} (3 x - 2)$
211845	Divide Using Long Polynomial Division	(2x^3+x^2-24x+8)/(x-3)	$\frac{2 x^{3} + x^{2} - 24 x + 8}{x - 3}$
211846	Simplify	3z-7z^2-5z+5z^2+2z^2	$3 z - 7 z^{2} - 5 z + 5 z^{2} + 2 z^{2}$
211847	Simplify	((x^2y^3)/(y^2z))^m	${(\frac{x^{2} y^{3}}{y^{2} z})}^{m}$
211848	Simplify	(10x^8y^5)(x^3yz)	$(10 x^{8} y^{5}) (x^{3} y z)$
211849	Simplify	(2/3)/( square root of 9-(2/3)^2)	$\frac{\frac{2}{3}}{\sqrt{9 - {(\frac{2}{3})}^{2}}}$
211850	Factor	(5x-4)^2+3x(5x-4)	${(5 x - 4)}^{2} + 3 x (5 x - 4)$
211851	Solve the Inequality for d	-1<=(d+2)/5<=6/5	$- 1 \leq \frac{d + 2}{5} \leq \frac{6}{5}$
211852	Multiply	1 1/21 1/31 1/4*1 1/5	$1 \frac{1}{2} \cdot 1 \frac{1}{3} \cdot 1 \frac{1}{4} \cdot 1 \frac{1}{5}$
211853	Simplify	(-3r^3w^4)^3(2rw)^2(-3r^2)^3(4rw^2)^3(2r^2w^3)	${(- 3 r^{3} w^{4})}^{3} {(2 r w)}^{2} {(- 3 r^{2})}^{3} {(4 r w^{2})}^{3} (2 r^{2} w^{3})$
211854	Simplify	sec(x)-tan(x)sin(x)-1/(sec(x))	$\sec (x) - \tan (x) \sin (x) - \frac{1}{\sec (x)}$
211855	Graph	3x+y=0 , x>=0	$3 x + y = 0$ , $x \geq 0$
211856	Evaluate Using the Given Value	-x^3-3x^2+4 for x=-2	$- x^{3} - 3 x^{2} + 4$ for $x = - 2$
211857	Write in Standard Form	(2x+1)(4-9x)-2x(3x+11)	$(2 x + 1) (4 - 9 x) - 2 x (3 x + 11)$
211858	Graph	2x+3y<=12 3x-5y>=15	$2 x + 3 y \leq 12$ $3 x - 5 y \geq 15$
211859	Simplify	(2x+1)(4-9x)-2x(3x+11)	$(2 x + 1) (4 - 9 x) - 2 x (3 x + 11)$
211860	Graph	8/5>s+12/5	$\frac{8}{5} > s + \frac{12}{5}$
211861	Simplify	(5x^2+4)-(5+5x^3)	$(5 x^{2} + 4) - (5 + 5 x^{3})$
211862	Find the Domain and Range	y=3csc(2x)	$y = 3 \csc (2 x)$
211863	Simplify	square root of square root of 4	$\sqrt{\sqrt{4}}$
211864	Solve for h	15 = square root of h/16	$15 = \sqrt{\frac{h}{16}}$
211865	Evaluate	(3pi)/4(180/pi)	$\frac{3 π}{4} (\frac{180}{π})$
211866	Evaluate	2x-528=x/4+x+270	$2 x - 528 = \frac{x}{4} + x + 270$
211867	Factor	(1/x)^2-1	${(\frac{1}{x})}^{2} - 1$
211868	Simplify	(x^2)/(x^2-4)-(x-1)/(x+2)	$\frac{x^{2}}{x^{2} - 4} - \frac{x - 1}{x + 2}$
211869	Simplify	3/4r+2r+1/2r	$\frac{3}{4} r + 2 r + \frac{1}{2} r$
211870	Solve for x	(x+1)/(x^2+2x-48)=x/(x+8)-1/(x-6)	$\frac{x + 1}{x^{2} + 2 x - 48} = \frac{x}{x + 8} - \frac{1}{x - 6}$
211871	Multiply	(-6c^2d)(-4c^3d^4e)	$(- 6 c^{2} d) (- 4 c^{3} d^{4} e)$
211872	Simplify	((3x-6)^2)/((2-x)^2)	$\frac{{(3 x - 6)}^{2}}{{(2 - x)}^{2}}$
211873	Convert to Radical Form	x^(1/4)*x^(1/3)	$x^{\frac{1}{4}} \cdot x^{\frac{1}{3}}$
211874	Solve by Graphing	y=1/2x-5 x+y=1	$y = \frac{1}{2} x - 5$ $x + y = 1$
211875	Simplify	(10a^4)/(a^2-9)*(a^2-3a)/(15a^2)	$\frac{10 a^{4}}{a^{2} - 9} \cdot \frac{a^{2} - 3 a}{15 a^{2}}$
211876	Evaluate	1/4(2pi)	$\frac{1}{4} (2 π)$
211877	Simplify	((x^2)/(x+2))/((x^3)/(2x+4))	$\frac{\frac{x^{2}}{x + 2}}{\frac{x^{3}}{2 x + 4}}$
211878	Solve the Inequality for x	(4x+3)/2>=2x	$\frac{4 x + 3}{2} \geq 2 x$
211879	Graph	F(x)=e^(-2x)	$F (x) = e^{- 2 x}$
211880	Simplify	(2x^2+6x-20)/(2x-4)	$\frac{2 x^{2} + 6 x - 20}{2 x - 4}$
211881	Solve the Rational Equation for s	fourth root of 2s+10=4	$\sqrt[4]{2 s + 10} = 4$
211882	Simplify	(6mn-9)(m^2n-7)	$(6 m n - 9) (m^{2} n - 7)$
211883	Solve for x	3^(1/2)*3^(1/x) = sixth root of 3^5	$3^{\frac{1}{2}} \cdot 3^{\frac{1}{x}} = \sqrt[6]{3^{5}}$
211884	Find the Product	(3x+2y+z)^2	${(3 x + 2 y + z)}^{2}$
211885	Simplify	( square root of 8- square root of 3)/( square root of 2+ square root of 12)	$\frac{\sqrt{8} - \sqrt{3}}{\sqrt{2} + \sqrt{12}}$
211886	Simplify	( square root of 125x)/( square root of 5)	$\frac{\sqrt{125 x}}{\sqrt{5}}$
211887	Solve for y	square root of y^6-2y^3+1=y^3-1	$\sqrt{y^{6} - 2 y^{3} + 1} = y^{3} - 1$
211888	Evaluate Using the Given Value	3x^3-2y^3-6x^2y^2+xy for x=2/3 and y=1/2	$3 x^{3} - 2 y^{3} - 6 x^{2} y^{2} + x y$ for $x = \frac{2}{3}$ and $y = \frac{1}{2}$
211889	Simplify	(8a+4b)/(2ab+b^2-2ad-bd)	$\frac{8 a + 4 b}{2 a b + b^{2} - 2 a d - b d}$
211890	Multiply	square root of 3(-5 square root of 10+ square root of 6)	$\sqrt{3} (- 5 \sqrt{10} + \sqrt{6})$
211891	Divide	(22x^2y^2)÷11x^2y^2	$22 x^{2} y^{2} \div 11 x^{2} y^{2}$
211892	Simplify	(2(x+2))/(6(x+2))	$\frac{2 (x + 2)}{6 (x + 2)}$
211893	Find the First Term	3n^2-1	$3 n^{2} - 1$
211894	Solve the Rational Equation for x	cube root of x=3 cube root of 7	$\sqrt[3]{x} = 3 \sqrt[3]{7}$
211895	Simplify	5/(21k-18)+(7k)/(2k)	$\frac{5}{21 k - 18} + \frac{7 k}{2 k}$
211896	Simplify	(b^2)^0=b^8	${(b^{2})}^{0} = b^{8}$
211897	Solve the Inequality for x	-(ax)/b>=c-d	$- \frac{a x}{b} \geq c - d$
211898	Evaluate	216^x=6^(x+10)	$216^{x} = 6^{x + 10}$
211899	Simplify	(x-3)/(x+3)-1/(x-3)+(x+2)/(3-x)	$\frac{x - 3}{x + 3} - \frac{1}{x - 3} + \frac{x + 2}{3 - x}$
211900	Simplify	square root of square root of 64	$\sqrt{\sqrt[2]{64}}$