Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
221701	Find the Excluded Values	(2x^2-5x-16)/(x^2-x-20)-x/(x+4)	$\frac{2 x^{2} - 5 x - 16}{x^{2} - x - 20} - \frac{x}{x + 4}$
221702	Simplify	2 natural log of 2	$2 \ln (2)$
221703	Graph	2 cube root of x+2+4	$2 \sqrt[3]{x + 2 + 4}$
221704	Write in Exponential Form	( fourth root of 6)( cube root of 6)	$(\sqrt[4]{6}) (\sqrt[3]{6})$
221705	Evaluate	(2pi)/(-pi/2)	$\frac{2 π}{- \frac{π}{2}}$
221706	Solve for r	2710=1/2(1.047198)r^2	$2710 = \frac{1}{2} (1.047198) r^{2}$
221707	Graph	x=y-y^3	$x = y - y^{3}$
221708	Solve for b	r=(b-5)m	$r = (b - 5) m$
221709	Solve for x	-8/(3x)-5/(6x)=2	$- \frac{8}{3 x} - \frac{5}{6 x} = 2$
221710	Solve for y	w=z/(3y-x) ; solve for y	$w = \frac{z}{3 y - x}$ ; solve for $y$
221711	Simplify	(3^(1/3))/(3^(-2/3))	$\frac{3^{\frac{1}{3}}}{3^{- \frac{2}{3}}}$
221712	Simplify	(20a^2-100a)/(a-1)*1/(16a^3-80a^2)	$\frac{20 a^{2} - 100 a}{a - 1} \cdot \frac{1}{16 a^{3} - 80 a^{2}}$
221713	Simplify	9/(cd)+5/c	$\frac{9}{c d} + \frac{5}{c}$
221714	Factor	((x+2)^5-32)/x	$\frac{{(x + 2)}^{5} - 32}{x}$
221715	Find the Roots (Zeros)	(2x+1)	$(2 x + 1)$
221716	Simplify	3(x^2-2x+3)-4(4x+1)-(3x^2-2x)	$3 (x^{2} - 2 x + 3) - 4 (4 x + 1) - (3 x^{2} - 2 x)$
221717	Evaluate	g(2+h)=x^3	$g (2 + h) = x^{3}$
221718	Simplify	( fourth root of a^8b^10)/( fourth root of b^6)	$\frac{\sqrt[4]{a^{8} b^{10}}}{\sqrt[4]{b^{6}}}$
221719	Solve the Inequality for x	6x-20>3(2-x)+6x-2	$6 x - 20 > 3 (2 - x) + 6 x - 2$
221720	Simplify	(2^-1x^-3y^-3)^5	${(2^{- 1} x^{- 3} y^{- 3})}^{5}$
221721	Solve the Absolute Value Inequality for x	(\|2x-3\|)/5>3	$\frac{\| 2 x - 3 \|}{5} > 3$
221722	Evaluate	7^(3/5)*7^(1/5)	$7^{\frac{3}{5}} \cdot 7^{\frac{1}{5}}$
221723	Simplify	2/3p+4/3p-1/3p	$\frac{2}{3} p + \frac{4}{3} p - \frac{1}{3} p$
221724	Solve for x	(3(2x+3))/13=2x-7	$\frac{3 (2 x + 3)}{13} = 2 x - 7$
221725	Divide Using Long Polynomial Division	(3x^5+17x^4-51x^2+3x+40)/(x+5)	$\frac{3 x^{5} + 17 x^{4} - 51 x^{2} + 3 x + 40}{x + 5}$
221726	Simplify	(x^2+2x-3)/(x^2)*(x^3+x^2)/(x+3)	$\frac{x^{2} + 2 x - 3}{x^{2}} \cdot \frac{x^{3} + x^{2}}{x + 3}$
221727	Convert to Radical Form	(6x^3y^3)1/5	$(6 x^{3} y^{3}) \frac{1}{5}$
221728	Solve for x	5x^2=3x^2+24	$5 x^{2} = 3 x^{2} + 24$
221729	Solve for x	1/x+1/(5x)=1/(15a)	$\frac{1}{x} + \frac{1}{5 x} = \frac{1}{15 a}$
221730	Simplify the Radical Expression	fourth root of 8* fourth root of 2	$\sqrt[4]{8} \cdot \sqrt[4]{2}$
221731	Solve for p	square root of 3p+7=-5	$\sqrt{3 p + 7} = - 5$
221732	Simplify	(2 square root of 3x)/( square root of x)	$\frac{2 \sqrt{3 x}}{\sqrt{x}}$
221733	Find the Second Term	a_n=4(4)^n	$a_{n} = 4 {(4)}^{n}$
221734	Graph	Graph the line with the equation y=6/5x-2	Graph the line with the equation $y = \frac{6}{5} x - 2$
221735	Evaluate	(x+2)^2+4(x+2)+3	${(x + 2)}^{2} + 4 (x + 2) + 3$
221736	Solve for q	270=10q^3	$270 = 10 q^{3}$
221737	Multiply	x*x/2	$x \cdot \frac{x}{2}$
221738	Find the Roots (Zeros)	(x-5)*2(x+2)=0	$(x - 5) \cdot 2 (x + 2) = 0$
221739	Evaluate	1/2(3)(2)^2	$\frac{1}{2} (3) {(2)}^{2}$
221740	Solve by Substitution	1/2x-1/3y=5 x=2/3y+10	$\frac{1}{2} x - \frac{1}{3} y = 5$ $x = \frac{2}{3} y + 10$
221741	Multiply	(x^2-6x+9)/(12-4x)*(x^6-9x^4)/(x^3-3x^2)	$\frac{x^{2} - 6 x + 9}{12 - 4 x} \cdot \frac{x^{6} - 9 x^{4}}{x^{3} - 3 x^{2}}$
221742	Simplify	2a+2-3a-5+a-4+7a	$2 a + 2 - 3 a - 5 + a - 4 + 7 a$
221743	Write the Fraction in Simplest Form	(6^-4*8^-7)^-9	${(6^{- 4} \cdot 8^{- 7})}^{- 9}$
221744	Write in Standard Form	2x^2+y^2-8=0	$2 x^{2} + y^{2} - 8 = 0$
221745	Write in Standard Form	y=(3x+1)(2x-7)	$y = (3 x + 1) (2 x - 7)$
221746	Solve the Inequality for y	-2/9+y<=5/9	$- \frac{2}{9} + y \leq \frac{5}{9}$
221747	Solve for p	2p=(-3p-6)/4	$2 p = \frac{- 3 p - 6}{4}$
221748	Solve for θ	2cos(theta)=- square root of 2	$2 \cos (θ) = - \sqrt{2}$
221749	Find the Symmetry	x^2+2y^2-8x+8y+23=0	$x^{2} + 2 y^{2} - 8 x + 8 y + 23 = 0$
221750	Write in Standard Form	(-4x^2+x)-(-8x^2-2x+6)	$(- 4 x^{2} + x) - (- 8 x^{2} - 2 x + 6)$
221751	Evaluate	((pi/2)^2)/2	$\frac{{(\frac{π}{2})}^{2}}{2}$
221752	Solve the Inequality for x	-x^2+6x+57>7x+1	$- x^{2} + 6 x + 57 > 7 x + 1$
221753	Solve for y	bx-y=-2y	$b x - y = - 2 y$
221754	Solve for y	2/7*e^(6y-5)=14	$\frac{2}{7} \cdot e^{6 y - 5} = 14$
221755	Solve for x	1/7=49^(x-5)*7^(x-9)	$\frac{1}{7} = 49^{x - 5} \cdot 7^{x - 9}$
221756	Solve for x	9/(8x)-1=-7/8	$\frac{9}{8 x} - 1 = \frac{- 7}{8}$
221757	Evaluate Using the Given Value	Solve P=2G+2M for G	Solve $P = 2 G + 2 M$ for $G$
221758	Evaluate	-3+6i-(-5-3i)-8i	$- 3 + 6 i - (- 5 - 3 i) - 8 i$
221759	Simplify	(( square root of 5)/3)/(2/3)	$\frac{\frac{\sqrt{5}}{3}}{\frac{2}{3}}$
221760	Write in Standard Form	(3x^2-x+3)+(4x^2-5)	$(3 x^{2} - x + 3) + (4 x^{2} - 5)$
221761	Solve the Inequality for x	-3x+7-5x<15	$- 3 x + 7 - 5 x < 15$
221762	Solve for x	8x+3=4.7x-(-2.8x-3.7)	$8 x + 3 = 4.7 x - (- 2.8 x - 3.7)$
221763	Solve the System of Inequalities	2x+y>=3 y>=-2x-3	$2 x + y \geq 3$ $y \geq - 2 x - 3$
221764	Rationalize the Denominator	(a+ square root of ab)/( square root of a+ square root of b)	$\frac{a + \sqrt{a b}}{\sqrt{a} + \sqrt{b}}$
221765	Evaluate	((5^-2)/5)^4	${(\frac{5^{- 2}}{5})}^{4}$
221766	Graph	7x+10>17x	$7 x + 10 > 17 x$
221767	Solve the Inequality for x	6x^2+18x>7x-3	$6 x^{2} + 18 x > 7 x - 3$
221768	Solve for a	(10- square root of 18)/( square root of 2)=a+b square root of 2	$\frac{10 - \sqrt{18}}{\sqrt{2}} = a + b \sqrt{2}$
221769	Evaluate	6÷(\|5-7\|)*6	$6 \div \| 5 - 7 \| \cdot 6$
221770	Write in Standard Form	x=1/2	$x = \frac{1}{2}$
221771	Solve the System of Equations	Y=-3x+4 x=2Y+6	$Y = - 3 x + 4$ $x = 2 Y + 6$
221772	Solve for x	1/4sin(x)+1=0	$\frac{1}{4} \sin (x) + 1 = 0$
221773	Evaluate	( square root of x+1)^2	${(\sqrt{x} + 1)}^{2}$
221774	Solve for x	log of x/2* log of 2/x=-1	$\log (\frac{x}{2}) \cdot \log (\frac{2}{x}) = - 1$
221775	Convert to a Decimal	Convert the inequality -10 into interval notation	Convert the inequality $- 10$ into interval notation
221776	Find the Roots (Zeros)	x^2-2/x	$x^{2} - \frac{2}{x}$
221777	Simplify	(64x^(9/4))/(4x^2)	$\frac{64 x^{\frac{9}{4}}}{4 x^{2}}$
221778	Simplify	(xy-2x+3y-6)/(x^2+8x+15)	$\frac{x y - 2 x + 3 y - 6}{x^{2} + 8 x + 15}$
221779	Solve for t	square root of t+5t=6 square root of t	$\sqrt{t} + 5 t = 6 \sqrt{t}$
221780	Solve by Graphing	x=17-4y y=x-2	$x = 17 - 4 y$ $y = x - 2$
221781	Solve for x	7x-6i=14+yi	$7 x - 6 i = 14 + y i$
221782	Simplify	(x^14y^-2)/(x^8)	$\frac{x^{14} y^{- 2}}{x^{8}}$
221783	Write in Standard Form	x+3x^2+5	$x + 3 x^{2} + 5$
221784	Simplify	Simplify 4 square root of 75	Simplify $4 \sqrt{75}$
221785	Write in Standard Form	x(x-4)(x-6)=0	$x (x - 4) (x - 6) = 0$
221786	Factor	1/(8x^6)+(y^3)/216	$\frac{1}{8 x^{6}} + \frac{y^{3}}{216}$
221787	Solve for x	2020/2021(2x-3)-2019/2020(2x-3)=0	$\frac{2020}{2021} (2 x - 3) - \frac{2019}{2020} (2 x - 3) = 0$
221788	Graph	y=3/4x^(1/3)-1	$y = \frac{3}{4} x^{\frac{1}{3}} - 1$
221789	Divide Using Long Polynomial Division	Use the long division method to find the result when 8x^3+16x^2+20x+7 is divided by 2x+1	Use the long division method to find the result when $8 x^{3} + 16 x^{2} + 20 x + 7$ is divided by $2 x + 1$
221790	Simplify	(m^(3/2)n^(-1/4))/(m^(3/4)n^(3/4))	$\frac{m^{\frac{3}{2}} n^{\frac{- 1}{4}}}{m^{\frac{3}{4}} n^{\frac{3}{4}}}$
221791	Solve for x	9/5x+32=y	$\frac{9}{5} x + 32 = y$
221792	Write as a Single Logarithm	2* log of 6-1/4* log of 16+ log of 3	$2 \cdot \log (6) - \frac{1}{4} \cdot \log (16) + \log (3)$
221793	Solve the System of Equations	y=x^2 y=x+2	$y = x^{2}$ $y = x + 2$
221794	Subtract	4a-3b+2c and -6a+4b-2c-2	$4 a - 3 b + 2 c$ and $- 6 a + 4 b - 2 c - 2$
221795	Graph Using a Table of Values	f(x)=(1/4)^(x-6)-1	$f (x) = {(\frac{1}{4})}^{x - 6} - 1$
221796	Multiply	2xy(x^3-3y^2)	$2 x y (x^{3} - 3 y^{2})$
221797	Write in Standard Form	x^2-5+2x+x^2	$x^{2} - 5 + 2 x + x^{2}$
221798	Solve for b	cube root of b=-2	$\sqrt[3]{b} = - 2$
221799	Divide	(7p^2q^2)/(14p^2q^2)	$\frac{7 p^{2} q^{2}}{14 p^{2} q^{2}}$
221800	Describe the Transformation	F(x) = square root of x+1	$F (x) = \sqrt{x} + 1$