Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
165701	Solve the Rational Equation for a	(a+1)/(5a)-1/a=1	$\frac{a + 1}{5 a} - \frac{1}{a} = 1$
165702	Graph	f(x)=x^2 if x<0; x+2 if x>=0	$f (x) = {\begin{cases} x^{2} & x < 0 \\ x + 2 & x \geq 0 \end{cases}$
165703	Solve for c	3a-b/(c-1)=2a	$3 a - \frac{b}{c - 1} = 2 a$
165704	Solve for x	x^2-4 = cube root of 2x	$x^{2} - 4 = \sqrt[3]{2 x}$
165705	Simplify	(-(4x^4)/(y^4))(2x^3y^2)	$(- \frac{4 x^{4}}{y^{4}}) (2 x^{3} y^{2})$
165706	Solve the Absolute Value Inequality for m	2-5\|5m-5\|=-73	$2 - 5 \| 5 m - 5 \| = - 73$
165707	Solve the Inequality for x	(3(2x+7))/-3>x+1	$\frac{3 (2 x + 7)}{- 3} > x + 1$
165708	Solve for x	2/x-(3x)/(x+3)=x/(x+3)	$\frac{2}{x} - \frac{3 x}{x + 3} = \frac{x}{x + 3}$
165709	Evaluate	f(x+1)	$f (x + 1)$
165710	Solve the Inequality for y	-3y<-14	$- 3 y < - 14$
165711	Solve for x	1+5/(x+1)=-(5x)/(x+1)	$1 + \frac{5}{x + 1} = - \frac{5 x}{x + 1}$
165712	Solve for x	5^(2x-3)=1	$5^{2 x - 3} = 1$
165713	Solve the Inequality for k	4k+2(3k+8)<3k+10-8	$4 k + 2 (3 k + 8) < 3 k + 10 - 8$
165714	Solve for b	u = square root of Gb-R	$u = \sqrt{G b - R}$
165715	Simplify	(3y^6)/(4(y^-1)^3)	$\frac{3 y^{6}}{4 {(y^{- 1})}^{3}}$
165716	Find the Holes in the Graph	f(x)=(x^2+6x+5)/(x+5)	$f (x) = \frac{x^{2} + 6 x + 5}{x + 5}$
165717	Solve for p	3(6p-1)=11p-45	$3 (6 p - 1) = 11 p - 45$
165718	Solve the System of Equations	x-6y+4z=-12 x+y-4z=12 2x+2y+5z=-15	$x - 6 y + 4 z = - 12$ $x + y - 4 z = 12$ $2 x + 2 y + 5 z = - 15$
165719	Graph	y<=2x y<-3/4x-2	$y \leq 2 x$ $y < - \frac{3}{4} x - 2$
165720	Find the Exact Value	(2tan(pi/12))/(1-tan(pi/12)^2)	$\frac{2 \tan (\frac{π}{12})}{1 - \tan^{2} (\frac{π}{12})}$
165721	Solve for x	log base 7 of x = log base 7 of 2x+4	$\log_{7} (x) = \log_{7} (2 x) + 4$
165722	Solve for x	(x+2)/x-4/(x-1)+2/(x^2-x)=0	$\frac{x + 2}{x} - \frac{4}{x - 1} + \frac{2}{x^{2} - x} = 0$
165723	Simplify	fourth root of y^(7/3)y^(1/3)	$\sqrt[4]{y^{\frac{7}{3}} y^{\frac{1}{3}}}$
165724	Solve the Inequality for t	2-5(3t+10)>=5t+5+9	$2 - 5 (3 t + 10) \geq 5 t + 5 + 9$
165725	Rationalize the Denominator	3/( square root of 13-5)	$\frac{3}{\sqrt{13} - 5}$
165726	Solve for x	(x-3)/(x-4)+4=(3x)/x	$\frac{x - 3}{x - 4} + 4 = \frac{3 x}{x}$
165727	Find All Complex Solutions	3(x+5)=-4x+8	$3 (x + 5) = - 4 x + 8$
165728	Solve for x	(x+3)/x-2/(x+3)=6/(x^2+3x)	$\frac{x + 3}{x} - \frac{2}{x + 3} = \frac{6}{x^{2} + 3 x}$
165729	Graph	y<3/4x+3 y<=-2x-1	$y < \frac{3}{4} x + 3$ $y \leq - 2 x - 1$
165730	Solve for x	-6-6/(x-6)=-x/(x-6)	$- 6 - \frac{6}{x - 6} = - \frac{x}{x - 6}$
165731	Graph	1/3f(x)	$\frac{1}{3} f (x)$
165732	Solve the Inequality for d	3-(9d-1)<-6d+2+7	$3 - (9 d - 1) < - 6 d + 2 + 7$
165733	Solve for D	-h+1/5ND=g	$- h + \frac{1}{5} N D = g$
165734	Simplify	a square root of 125y-b square root of 45y	$a \sqrt{125 y} - b \sqrt{45 y}$
165735	Solve the Rational Equation for x	(x-2)/(2x+4)=1/5	$\frac{x - 2}{2 x + 4} = \frac{1}{5}$
165736	Solve for a	-4G+1/8Qa=7	$- 4 G + \frac{1}{8} Q a = 7$
165737	Evaluate	cube root of -3*(1/375)^(1/3)	$\sqrt[3]{- 3} \cdot {(\frac{1}{375})}^{\frac{1}{3}}$
165738	Solve for A	m = square root of dA+3g	$m = \sqrt{d A + 3 g}$
165739	Solve by Completing the Square	x(x+8)=-20	$x (x + 8) = - 20$
165740	Graph	x and y	$x$ and $y$
165741	Graph Using a Table of Values	f(x)=(4x-6)/(-x+2)	$f (x) = \frac{4 x - 6}{- x + 2}$
165742	Solve for p	3(5p-3)=5(p-1)	$3 (5 p - 3) = 5 (p - 1)$
165743	Solve for y	x/y+9=n	$\frac{x}{y} + 9 = n$
165744	Solve for c	9=\|5c+11\|	$9 = \| 5 c + 11 \|$
165745	Simplify	(-5x^6y^2)^2-12x^12y^4	${(- 5 x^{6} y^{2})}^{2} - 12 x^{12} y^{4}$
165746	Solve for d	t = square root of 5fd-h	$t = \sqrt{5 f d - h}$
165747	Find All Complex Solutions	(cot(theta)- square root of 3)( square root of 2sin(theta)+1)=0	$(\cot (θ) - \sqrt{3}) (\sqrt{2} \sin (θ) + 1) = 0$
165748	Graph	f^-1(x) = cube root of x	$f^{- 1} (x) = \sqrt[3]{x}$
165749	Convert to Interval Notation	2x+1<=-2 or 2x+1>=2	$2 x + 1 \leq - 2$ or $2 x + 1 \geq 2$
165750	Solve for n	1/2n+3=6	$\frac{1}{2} n + 3 = 6$
165751	Solve for y	3x+6i=27+yi	$3 x + 6 i = 27 + y i$
165752	Divide Using Synthetic Division	(3x^2+4x-x^4-2x^3-4)÷(x+2)	$(3 x^{2} + 4 x - x^{4} - 2 x^{3} - 4) \div (x + 2)$
165753	Write the Fraction in Simplest Form	(1/3)^4	${(\frac{1}{3})}^{4}$
165754	Simplify	natural log of 1/(e^2)	$\ln (\frac{1}{e^{2}})$
165755	Solve for x	(x+3)^2-3=49	${(x + 3)}^{2} - 3 = 49$
165756	Simplify	square root of x^2+x^2	$\sqrt{x^{2} + x^{2}}$
165757	Simplify	((ac^4)/(3b^3))^2	${(\frac{a c^{4}}{3 b^{3}})}^{2}$
165758	Divide	(90x^5y^6-108x^2y^3-126x)/(-9x)	$\frac{90 x^{5} y^{6} - 108 x^{2} y^{3} - 126 x}{- 9 x}$
165759	Solve for x	3x+(-5x-(x+3))=8x+(-5x-9)	$3 x + (- 5 x - (x + 3)) = 8 x + (- 5 x - 9)$
165760	Solve for b	-12=-4/3b	$- 12 = - \frac{4}{3} b$
165761	Write in Standard Form	y=mx+b	$y = m x + b$
165762	Find All Complex Solutions	x^2+x-6=0	$x^{2} + x - 6 = 0$
165763	Find the x and y Intercepts	f(x)=-2/9x+1/3	$f (x) = - \frac{2}{9} x + \frac{1}{3}$
165764	Factor	(x^3-8)/(x-2)	$\frac{x^{3} - 8}{x - 2}$
165765	Graph	f(x)=2^x and g(x) = log base 2 of x	$f (x) = 2^{x}$ and $g (x) = \log_{2} (x)$
165766	Combine Like Terms	8a-6+a-1	$8 a - 6 + a - 1$
165767	Solve the Inequality for x	-1<4x+3<7	$- 1 < 4 x + 3 < 7$
165768	Solve for B	A=2/3(B+C)	$A = \frac{2}{3} (B + C)$
165769	Simplify	((n-15)/(9n))/((15-n)/(3n^5))	$\frac{\frac{n - 15}{9 n}}{\frac{15 - n}{3 n^{5}}}$
165770	Multiply	(3x^2-5x)*(2x^3+4x^2-x+2)	$(3 x^{2} - 5 x) \cdot (2 x^{3} + 4 x^{2} - x + 2)$
165771	Solve the Inequality for t	6(2t+9)<=12t-1	$6 (2 t + 9) \leq 12 t - 1$
165772	Simplify the Radical Expression	64^(2/3)	$64^{\frac{2}{3}}$
165773	Solve for A	-f+1/6uA=4	$- f + \frac{1}{6} u A = 4$
165774	Simplify	(56÷((7-9)^3)-25)/(23-5*4)	$\frac{56 \div {(7 - 9)}^{3} - 25}{23 - 5 \cdot 4}$
165775	Solve the Inequality for n	-5n-3(5n+2)<-8n+4-3	$- 5 n - 3 (5 n + 2) < - 8 n + 4 - 3$
165776	Solve for x	square root of -x^2+3x-2=4	$\sqrt{- x^{2} + 3 x - 2} = 4$
165777	Find the Domain and Range	y=1/2x^2	$y = \frac{1}{2} x^{2}$
165778	Solve for x	2x-51=-10-(2x-7)	$2 x - 51 = - 10 - (2 x - 7)$
165779	Solve for m	16(4-3m)=96(-m/2+1)	$16 (4 - 3 m) = 96 (- \frac{m}{2} + 1)$
165780	Solve for a	(x^(2/3))^2=x^a	${(x^{\frac{2}{3}})}^{2} = x^{a}$
165781	Factor	15x^4y^3z^2-25x^5y^2z+30x^2y^2z	$15 x^{4} y^{3} z^{2} - 25 x^{5} y^{2} z + 30 x^{2} y^{2} z$
165782	Solve for c	10=\|-15+3c\|	$10 = \| - 15 + 3 c \|$
165783	Solve for a	-10=-4/5a	$- 10 = - \frac{4}{5} a$
165784	Simplify	7/(6-x)+(7x+5)/(x-6)	$\frac{7}{6 - x} + \frac{7 x + 5}{x - 6}$
165785	Solve for a	a=1/2pir^2	$a = \frac{1}{2} π r^{2}$
165786	Simplify	x square root of x^2	$x \sqrt{x^{2}}$
165787	Find the Holes in the Graph	f(x)=(x^2-25)/(2x^2+13x+15)	$f (x) = \frac{x^{2} - 25}{2 x^{2} + 13 x + 15}$
165788	Simplify	4- square root of -25	$4 - \sqrt{- 25}$
165789	Graph	b^2-4ac<0	$b^{2} - 4 a c < 0$
165790	Solve for a	square root of a-b+c=3	$\sqrt{a - b + c} = 3$
165791	Solve Using the Quadratic Formula	4x-26	$4 x - 26$
165792	Write in Exponential Form	log base 9 of 1/3=-1/2	$\log_{9} (\frac{1}{3}) = - \frac{1}{2}$
165793	Solve for a	(x^(5/3))/(x^(6/5))=x^a	$\frac{x^{\frac{5}{3}}}{x^{\frac{6}{5}}} = x^{a}$
165794	Factor by Grouping	a^2-2ab+b^2	$a^{2} - 2 a b + b^{2}$
165795	Simplify	(-4+i)/(6-7i)	$\frac{- 4 + i}{6 - 7 i}$
165796	Solve the Inequality for n	6n-(n+1)<3n-2+5n	$6 n - (n + 1) < 3 n - 2 + 5 n$
165797	Solve Using the Quadratic Formula	x^2-1/4=0	$x^{2} - \frac{1}{4} = 0$
165798	Solve the Inequality for t	-2t-3(10t+5)>=3t-9-6t	$- 2 t - 3 (10 t + 5) \geq 3 t - 9 - 6 t$
165799	Solve for f	square root of 3gf-2=r	$\sqrt{3 g f - 2} = r$
165800	Solve the Inequality for x	(49/81)^(x+1)>=9/7	${(\frac{49}{81})}^{x + 1} \geq \frac{9}{7}$