Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
221701	Simplify the Radical Expression	(3 square root of 2)( square root of 6)	$(3 \sqrt{2}) (\sqrt{6})$
221702	Evaluate	2*(1/3)^1	$2 \cdot {(\frac{1}{3})}^{1}$
221703	Solve for k	3k(k+10)=0	$3 k (k + 10) = 0$
221704	Solve the Inequality for x	5x^2+14<-31x+8	$5 x^{2} + 14 < - 31 x + 8$
221705	Evaluate	tan((2pi)/3)^2-sec((2pi)/3)^2	$\tan^{2} (\frac{2 π}{3}) - \sec^{2} (\frac{2 π}{3})$
221706	Solve for y	1/2(4-14y)=y+50	$\frac{1}{2} (4 - 14 y) = y + 50$
221707	Simplify the Radical Expression	1/( square root of x^5)	$\frac{1}{\sqrt{x^{5}}}$
221708	Solve the Rational Equation for x	3/(x-1)=4/(2x+3)	$\frac{3}{x - 1} = \frac{4}{2 x + 3}$
221709	Solve for n	-5n<=15	$- 5 n \leq 15$
221710	Find f(g(x))	f(x)=x+2 g(x)=3x-1	$f (x) = x + 2$ $g (x) = 3 x - 1$
221711	Simplify the Radical Expression	cube root of square root of 64a^10b^34	$\sqrt[3]{\sqrt{64 a^{10} b^{34}}}$
221712	Find the Product	(a^x-b^y)(a^x+b^y)	$(a^{x} - b^{y}) (a^{x} + b^{y})$
221713	Solve for x	2+2cos(x)=0	$2 + 2 \cos (x) = 0$
221714	Find the Product	(x-3)/(x+5)*(3x)/(x-5)	$\frac{x - 3}{x + 5} \cdot \frac{3 x}{x - 5}$
221715	Solve the Inequality for b	8<=4-2b<10	$8 \leq 4 - 2 b < 10$
221716	Find the Excluded Values	(2x^2-5x-16)/(x^2-x-20)-x/(x+4)	$\frac{2 x^{2} - 5 x - 16}{x^{2} - x - 20} - \frac{x}{x + 4}$
221717	Simplify	2 natural log of 2	$2 \ln (2)$
221718	Graph	2 cube root of x+2+4	$2 \sqrt[3]{x + 2 + 4}$
221719	Write in Exponential Form	( fourth root of 6)( cube root of 6)	$(\sqrt[4]{6}) (\sqrt[3]{6})$
221720	Evaluate	(2pi)/(-pi/2)	$\frac{2 π}{- \frac{π}{2}}$
221721	Solve for r	2710=1/2(1.047198)r^2	$2710 = \frac{1}{2} (1.047198) r^{2}$
221722	Graph	x=y-y^3	$x = y - y^{3}$
221723	Solve for b	r=(b-5)m	$r = (b - 5) m$
221724	Solve for x	-8/(3x)-5/(6x)=2	$- \frac{8}{3 x} - \frac{5}{6 x} = 2$
221725	Solve for y	w=z/(3y-x) ; solve for y	$w = \frac{z}{3 y - x}$ ; solve for $y$
221726	Simplify	(3^(1/3))/(3^(-2/3))	$\frac{3^{\frac{1}{3}}}{3^{- \frac{2}{3}}}$
221727	Simplify	(20a^2-100a)/(a-1)*1/(16a^3-80a^2)	$\frac{20 a^{2} - 100 a}{a - 1} \cdot \frac{1}{16 a^{3} - 80 a^{2}}$
221728	Simplify	9/(cd)+5/c	$\frac{9}{c d} + \frac{5}{c}$
221729	Factor	((x+2)^5-32)/x	$\frac{{(x + 2)}^{5} - 32}{x}$
221730	Find the Roots (Zeros)	(2x+1)	$(2 x + 1)$
221731	Simplify	3(x^2-2x+3)-4(4x+1)-(3x^2-2x)	$3 (x^{2} - 2 x + 3) - 4 (4 x + 1) - (3 x^{2} - 2 x)$
221732	Evaluate	g(2+h)=x^3	$g (2 + h) = x^{3}$
221733	Simplify	( fourth root of a^8b^10)/( fourth root of b^6)	$\frac{\sqrt[4]{a^{8} b^{10}}}{\sqrt[4]{b^{6}}}$
221734	Solve the Inequality for x	6x-20>3(2-x)+6x-2	$6 x - 20 > 3 (2 - x) + 6 x - 2$
221735	Simplify	(2^-1x^-3y^-3)^5	${(2^{- 1} x^{- 3} y^{- 3})}^{5}$
221736	Solve the Absolute Value Inequality for x	(\|2x-3\|)/5>3	$\frac{\| 2 x - 3 \|}{5} > 3$
221737	Evaluate	7^(3/5)*7^(1/5)	$7^{\frac{3}{5}} \cdot 7^{\frac{1}{5}}$
221738	Simplify	2/3p+4/3p-1/3p	$\frac{2}{3} p + \frac{4}{3} p - \frac{1}{3} p$
221739	Solve for x	(3(2x+3))/13=2x-7	$\frac{3 (2 x + 3)}{13} = 2 x - 7$
221740	Divide Using Long Polynomial Division	(3x^5+17x^4-51x^2+3x+40)/(x+5)	$\frac{3 x^{5} + 17 x^{4} - 51 x^{2} + 3 x + 40}{x + 5}$
221741	Simplify	(x^2+2x-3)/(x^2)*(x^3+x^2)/(x+3)	$\frac{x^{2} + 2 x - 3}{x^{2}} \cdot \frac{x^{3} + x^{2}}{x + 3}$
221742	Convert to Radical Form	(6x^3y^3)1/5	$(6 x^{3} y^{3}) \frac{1}{5}$
221743	Solve for x	5x^2=3x^2+24	$5 x^{2} = 3 x^{2} + 24$
221744	Solve for x	1/x+1/(5x)=1/(15a)	$\frac{1}{x} + \frac{1}{5 x} = \frac{1}{15 a}$
221745	Simplify the Radical Expression	fourth root of 8* fourth root of 2	$\sqrt[4]{8} \cdot \sqrt[4]{2}$
221746	Solve for p	square root of 3p+7=-5	$\sqrt{3 p + 7} = - 5$
221747	Simplify	(2 square root of 3x)/( square root of x)	$\frac{2 \sqrt{3 x}}{\sqrt{x}}$
221748	Find the Second Term	a_n=4(4)^n	$a_{n} = 4 {(4)}^{n}$
221749	Graph	Graph the line with the equation y=6/5x-2	Graph the line with the equation $y = \frac{6}{5} x - 2$
221750	Evaluate	(x+2)^2+4(x+2)+3	${(x + 2)}^{2} + 4 (x + 2) + 3$
221751	Solve for q	270=10q^3	$270 = 10 q^{3}$
221752	Multiply	x*x/2	$x \cdot \frac{x}{2}$
221753	Find the Roots (Zeros)	(x-5)*2(x+2)=0	$(x - 5) \cdot 2 (x + 2) = 0$
221754	Evaluate	1/2(3)(2)^2	$\frac{1}{2} (3) {(2)}^{2}$
221755	Solve by Substitution	1/2x-1/3y=5 x=2/3y+10	$\frac{1}{2} x - \frac{1}{3} y = 5$ $x = \frac{2}{3} y + 10$
221756	Multiply	(x^2-6x+9)/(12-4x)*(x^6-9x^4)/(x^3-3x^2)	$\frac{x^{2} - 6 x + 9}{12 - 4 x} \cdot \frac{x^{6} - 9 x^{4}}{x^{3} - 3 x^{2}}$
221757	Simplify	2a+2-3a-5+a-4+7a	$2 a + 2 - 3 a - 5 + a - 4 + 7 a$
221758	Write the Fraction in Simplest Form	(6^-4*8^-7)^-9	${(6^{- 4} \cdot 8^{- 7})}^{- 9}$
221759	Write in Standard Form	2x^2+y^2-8=0	$2 x^{2} + y^{2} - 8 = 0$
221760	Write in Standard Form	y=(3x+1)(2x-7)	$y = (3 x + 1) (2 x - 7)$
221761	Solve the Inequality for y	-2/9+y<=5/9	$- \frac{2}{9} + y \leq \frac{5}{9}$
221762	Solve for p	2p=(-3p-6)/4	$2 p = \frac{- 3 p - 6}{4}$
221763	Solve for θ	2cos(theta)=- square root of 2	$2 \cos (θ) = - \sqrt{2}$
221764	Find the Symmetry	x^2+2y^2-8x+8y+23=0	$x^{2} + 2 y^{2} - 8 x + 8 y + 23 = 0$
221765	Write in Standard Form	(-4x^2+x)-(-8x^2-2x+6)	$(- 4 x^{2} + x) - (- 8 x^{2} - 2 x + 6)$
221766	Evaluate	((pi/2)^2)/2	$\frac{{(\frac{π}{2})}^{2}}{2}$
221767	Solve the Inequality for x	-x^2+6x+57>7x+1	$- x^{2} + 6 x + 57 > 7 x + 1$
221768	Solve for y	bx-y=-2y	$b x - y = - 2 y$
221769	Solve for y	2/7*e^(6y-5)=14	$\frac{2}{7} \cdot e^{6 y - 5} = 14$
221770	Solve for x	1/7=49^(x-5)*7^(x-9)	$\frac{1}{7} = 49^{x - 5} \cdot 7^{x - 9}$
221771	Solve for x	9/(8x)-1=-7/8	$\frac{9}{8 x} - 1 = \frac{- 7}{8}$
221772	Evaluate Using the Given Value	Solve P=2G+2M for G	Solve $P = 2 G + 2 M$ for $G$
221773	Evaluate	-3+6i-(-5-3i)-8i	$- 3 + 6 i - (- 5 - 3 i) - 8 i$
221774	Simplify	(( square root of 5)/3)/(2/3)	$\frac{\frac{\sqrt{5}}{3}}{\frac{2}{3}}$
221775	Write in Standard Form	(3x^2-x+3)+(4x^2-5)	$(3 x^{2} - x + 3) + (4 x^{2} - 5)$
221776	Solve the Inequality for x	-3x+7-5x<15	$- 3 x + 7 - 5 x < 15$
221777	Solve for x	8x+3=4.7x-(-2.8x-3.7)	$8 x + 3 = 4.7 x - (- 2.8 x - 3.7)$
221778	Solve the System of Inequalities	2x+y>=3 y>=-2x-3	$2 x + y \geq 3$ $y \geq - 2 x - 3$
221779	Rationalize the Denominator	(a+ square root of ab)/( square root of a+ square root of b)	$\frac{a + \sqrt{a b}}{\sqrt{a} + \sqrt{b}}$
221780	Evaluate	((5^-2)/5)^4	${(\frac{5^{- 2}}{5})}^{4}$
221781	Graph	7x+10>17x	$7 x + 10 > 17 x$
221782	Solve the Inequality for x	6x^2+18x>7x-3	$6 x^{2} + 18 x > 7 x - 3$
221783	Solve for a	(10- square root of 18)/( square root of 2)=a+b square root of 2	$\frac{10 - \sqrt{18}}{\sqrt{2}} = a + b \sqrt{2}$
221784	Evaluate	6÷(\|5-7\|)*6	$6 \div \| 5 - 7 \| \cdot 6$
221785	Write in Standard Form	x=1/2	$x = \frac{1}{2}$
221786	Solve the System of Equations	Y=-3x+4 x=2Y+6	$Y = - 3 x + 4$ $x = 2 Y + 6$
221787	Solve for x	1/4sin(x)+1=0	$\frac{1}{4} \sin (x) + 1 = 0$
221788	Evaluate	( square root of x+1)^2	${(\sqrt{x} + 1)}^{2}$
221789	Solve for x	log of x/2* log of 2/x=-1	$\log (\frac{x}{2}) \cdot \log (\frac{2}{x}) = - 1$
221790	Convert to a Decimal	Convert the inequality -10 into interval notation	Convert the inequality $- 10$ into interval notation
221791	Find the Roots (Zeros)	x^2-2/x	$x^{2} - \frac{2}{x}$
221792	Simplify	(64x^(9/4))/(4x^2)	$\frac{64 x^{\frac{9}{4}}}{4 x^{2}}$
221793	Simplify	(xy-2x+3y-6)/(x^2+8x+15)	$\frac{x y - 2 x + 3 y - 6}{x^{2} + 8 x + 15}$
221794	Solve for t	square root of t+5t=6 square root of t	$\sqrt{t} + 5 t = 6 \sqrt{t}$
221795	Solve by Graphing	x=17-4y y=x-2	$x = 17 - 4 y$ $y = x - 2$
221796	Solve for x	7x-6i=14+yi	$7 x - 6 i = 14 + y i$
221797	Simplify	(x^14y^-2)/(x^8)	$\frac{x^{14} y^{- 2}}{x^{8}}$
221798	Write in Standard Form	x+3x^2+5	$x + 3 x^{2} + 5$
221799	Simplify	Simplify 4 square root of 75	Simplify $4 \sqrt{75}$
221800	Write in Standard Form	x(x-4)(x-6)=0	$x (x - 4) (x - 6) = 0$