Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
169801	Write in Exponential Form	log base (x+3) of x+6=2	$\log_{(x + 3)} (x + 6) = 2$
169802	Solve for a	-2=15a	$- 2 = 15 a$
169803	Simplify	(7b-1)/(b^2+b-2)-6/(b-1)	$\frac{7 b - 1}{b^{2} + b - 2} - \frac{6}{b - 1}$
169804	Solve for a	1/3(21-3a)=6-a	$\frac{1}{3} (21 - 3 a) = 6 - a$
169805	Find the Domain and Range	y=4-x	$y = 4 - x$
169806	Solve for b	P=a+b+c for b	$P = a + b + c$ for $b$
169807	Find the x and y Intercepts	y-6=2(3x-4)	$y - 6 = 2 (3 x - 4)$
169808	Graph	f(x)=5x(2x-5)^2	$f (x) = 5 x {(2 x - 5)}^{2}$
169809	Solve the Inequality for x	x-5<-2	$x - 5 < - 2$
169810	Graph Using a Table of Values	x=4	$x = 4$
169811	Solve for h	-2(3h-1)=5(2h-3)	$- 2 (3 h - 1) = 5 (2 h - 3)$
169812	Solve for n	(2n-3)/5=5	$\frac{2 n - 3}{5} = 5$
169813	Solve for x	(2x-20)/3=2x	$\frac{2 x - 20}{3} = 2 x$
169814	Solve the Absolute Value Inequality for n	-5\|4+n\|<-15	$- 5 \| 4 + n \| < - 15$
169815	Solve for y	39=\|y+12\|	$39 = \| y + 12 \|$
169816	Solve the Inequality for a	-6a>=-36	$- 6 a \geq - 36$
169817	Simplify	(x^2+8xk+16k^2)/(x^2-16k^2)	$\frac{x^{2} + 8 x k + 16 k^{2}}{x^{2} - 16 k^{2}}$
169818	Solve for q	q+5/9=1/6	$q + \frac{5}{9} = \frac{1}{6}$
169819	Convert to Scientific Notation	(7.29610^2)÷9.610^-9	$7.296 \cdot 10^{2} \div 9.6 \cdot 10^{- 9}$
169820	Solve for x	10x-6x-12=6-11	$10 x - 6 x - 12 = 6 - 11$
169821	Factor	(x^3+27)	$(x^{3} + 27)$
169822	Find the x and y Intercepts	f(x)=(x^2+x)/(-5x-5)	$f (x) = \frac{x^{2} + x}{- 5 x - 5}$
169823	Write in Standard Form	y=(x-2)^2-4	$y = {(x - 2)}^{2} - 4$
169824	Combine Like Terms	5-3x^2-2x^2-2x^3-x^3-3+3x^2	$5 - 3 x^{2} - 2 x^{2} - 2 x^{3} - x^{3} - 3 + 3 x^{2}$
169825	Simplify	((5h^-5s^-4)^-3)/(20h^5s^-7)	$\frac{{(5 h^{- 5} s^{- 4})}^{- 3}}{20 h^{5} s^{- 7}}$
169826	Simplify	(csc(x))/(sec(x)cot(x))	$\frac{\csc (x)}{\sec (x) \cot (x)}$
169827	Solve for x	x+3=-2x+1	$x + 3 = - 2 x + 1$
169828	Write in Standard Form	7(2e-1)-3=6+6e	$7 (2 e - 1) - 3 = 6 + 6 e$
169829	Solve the Inequality for x	\|x\|<=2	$\| x \| \leq 2$
169830	Solve for y	(3(y+7))/(7y)-(4y-7)/6=(7y+10)/(3y)-(2(7y-1))/21	$\frac{3 (y + 7)}{7 y} - \frac{4 y - 7}{6} = \frac{7 y + 10}{3 y} - \frac{2 (7 y - 1)}{21}$
169831	Simplify	(1+1/x)/(x-1/x)	$\frac{1 + \frac{1}{x}}{x - \frac{1}{x}}$
169832	Subtract	3x^2+7x-4 from 8x^2-6x+2	$3 x^{2} + 7 x - 4$ from $8 x^{2} - 6 x + 2$
169833	Simplify	(1/(x^2))^2	${(\frac{1}{x^{2}})}^{2}$
169834	Simplify	-(-1)^2	$- {(- 1)}^{2}$
169835	Write in Standard Form	g(x)=x^2-8x	$g (x) = x^{2} - 8 x$
169836	Factor	-22x^6y^4z^2-11x^4z^6	$- 22 x^{6} y^{4} z^{2} - 11 x^{4} z^{6}$
169837	Solve the Inequality for x	8<=x+5	$8 \leq x + 5$
169838	Find the LCD	x/(3x^2+4x-4) and 3/(3x^2-8x+4)	$\frac{x}{3 x^{2} + 4 x - 4}$ and $\frac{3}{3 x^{2} - 8 x + 4}$
169839	Evaluate	square root of x^2-4	$\sqrt{x^{2} - 4}$
169840	Solve the Inequality for x	(2x-7)(x^2-4x+4)>0	$(2 x - 7) (x^{2} - 4 x + 4) > 0$
169841	Solve the System of Equations	y-15=-x^2+4x x+y=1	$y - 15 = - x^{2} + 4 x$ $x + y = 1$
169842	Find the Equation Using Two Points	(-4,-7) and (-4,-6)	$(- 4, - 7)$ and $(- 4, - 6)$
169843	Solve for x	3/8x-6=1/2(4-x)	$\frac{3}{8} x - 6 = \frac{1}{2} (4 - x)$
169844	Solve the Inequality for y	8y-5<3	$8 y - 5 < 3$
169845	Solve for θ	2sin(theta)+ square root of 2=0	$2 \sin (θ) + \sqrt{2} = 0$
169846	Solve for b	5/6=3/8b-1/6	$\frac{5}{6} = \frac{3}{8} b - \frac{1}{6}$
169847	Find the Product	(x-4)(x^2-8x+16)	$(x - 4) (x^{2} - 8 x + 16)$
169848	Factor	-37xy^5z^8+17x^5y^4z^4	$- 37 x y^{5} z^{8} + 17 x^{5} y^{4} z^{4}$
169849	Solve the Inequality for x	x^3-3x^2-x+3>=0	$x^{3} - 3 x^{2} - x + 3 \geq 0$
169850	Solve the Inequality for x	(x+13)/(5+x)<=2	$\frac{x + 13}{5 + x} \leq 2$
169851	Solve the System of Equations	y=-x+2 y=x^2-6x+8	$y = - x + 2$ $y = x^{2} - 6 x + 8$
169852	Simplify	((3d^3z)^-3)/(5d^-3z^4)	$\frac{{(3 d^{3} z)}^{- 3}}{5 d^{- 3} z^{4}}$
169853	Solve for x	7/(4x)-3/(x^2)=1/(2x^2)	$\frac{7}{4 x} - \frac{3}{x^{2}} = \frac{1}{2 x^{2}}$
169854	Evaluate	(2pi)/((10pi)/3)	$\frac{2 π}{\frac{10 π}{3}}$
169855	Solve for w	5-3\|2+2w\|=-7	$5 - 3 \| 2 + 2 w \| = - 7$
169856	Find the Holes in the Graph	f(x)=1/(3x^2+3x-18)	$f (x) = \frac{1}{3 x^{2} + 3 x - 18}$
169857	Solve for x	49^(-x-7)*7^(4x+8)=49^(5x-3)	$49^{- x - 7} \cdot 7^{4 x + 8} = 49^{5 x - 3}$
169858	Simplify	(4x^2-x)/(16x^2-1)	$\frac{4 x^{2} - x}{16 x^{2} - 1}$
169859	Find All Complex Solutions	4cos(theta)^2=3	$4 \cos^{2} (θ) = 3$
169860	Solve for x	x-27=-(27-x)	$x - 27 = - (27 - x)$
169861	Solve for x	x/6+(3x)/5=2	$\frac{x}{6} + \frac{3 x}{5} = 2$
169862	Find the Sum and Product of the Roots of the Quadratic Equation	9x^2-6x=8	$9 x^{2} - 6 x = 8$
169863	Solve the Rational Equation for x	x^(3/2)=64	$x^{\frac{3}{2}} = 64$
169864	Find f(g(x))	f(x)=5x and g(x)=x/5	$f (x) = 5 x$ and $g (x) = \frac{x}{5}$
169865	Find the Roots (Zeros)	4x^2+16x+16=0	$4 x^{2} + 16 x + 16 = 0$
169866	Solve for a	24=\|4a-4\|	$24 = \| 4 a - 4 \|$
169867	Simplify	6x+2-1-4x-3-2x+2	$6 x + 2 - 1 - 4 x - 3 - 2 x + 2$
169868	Solve the Inequality for x	-x+5>x/4	$- x + 5 > \frac{x}{4}$
169869	Factor	-7x^3+x^5+6x	$- 7 x^{3} + x^{5} + 6 x$
169870	Graph Using a Table of Values	y=x^2-6x+5	$y = x^{2} - 6 x + 5$
169871	Solve for x	3(x-1)=2(3-x)	$3 (x - 1) = 2 (3 - x)$
169872	Solve for a	3/2a-8=11	$\frac{3}{2} a - 8 = 11$
169873	Expand the Logarithmic Expression	log of ( cube root of x^4)/((x+5)^2)	$\log (\frac{\sqrt[3]{x^{4}}}{{(x + 5)}^{2}})$
169874	Simplify	7ab+4ab-3ab	$7 a b + 4 a b - 3 a b$
169875	Graph	[-2pi,2pi]	$[- 2 π, 2 π]$
169876	Solve for θ	2cos(theta)^2-cos(theta)-1=0	$2 \cos^{2} (θ) - \cos (θ) - 1 = 0$
169877	Factor	-47x^3y^2z+42x^7y^6	$- 47 x^{3} y^{2} z + 42 x^{7} y^{6}$
169878	Graph Using a Table of Values	f(x)=2/x	$f (x) = \frac{2}{x}$
169879	Divide	6x^3+12x^2-18 , 3x	$6 x^{3} + 12 x^{2} - 18$ , $3 x$
169880	Find the x and y Intercepts	y=(x^2-4)/(x^2-5x+6)	$y = \frac{x^{2} - 4}{x^{2} - 5 x + 6}$
169881	Solve Using the Quadratic Formula	y(y-10)+30=0	$y (y - 10) + 30 = 0$
169882	Simplify	(x^-4x^2y^-8)/(y^3)	$\frac{x^{- 4} x^{2} y^{- 8}}{y^{3}}$
169883	Expand the Logarithmic Expression	log of (4(8+x)^2)/(x^5)	$\log (\frac{4 {(8 + x)}^{2}}{x^{5}})$
169884	Solve the Absolute Value Inequality for x	\|x-2\|=4	$\| x - 2 \| = 4$
169885	Combine Like Terms	3y^2-3+2x-2x+4y^2-6+5	$3 y^{2} - 3 + 2 x - 2 x + 4 y^{2} - 6 + 5$
169886	Multiply	2x*4x^2	$2 x \cdot 4 x^{2}$
169887	Simplify	9/(4x^2-12x)+(7x)/(x^2-9)	$\frac{9}{4 x^{2} - 12 x} + \frac{7 x}{x^{2} - 9}$
169888	Simplify	((x+2)^2)/(x+2)	$\frac{{(x + 2)}^{2}}{x + 2}$
169889	Factor	-32x^2y^2z^3-20xy^4z^5	$- 32 x^{2} y^{2} z^{3} - 20 x y^{4} z^{5}$
169890	Solve for x	(x-4)/2+3=4x	$\frac{x - 4}{2} + 3 = 4 x$
169891	Solve for x	5^(2x)=25^(4-x)	$5^{2 x} = 25^{4 - x}$
169892	Simplify	(6m^2-5my-y^2)/(12m+2y)	$\frac{6 m^{2} - 5 m y - y^{2}}{12 m + 2 y}$
169893	Find All Complex Solutions	x^2+x-12=0	$x^{2} + x - 12 = 0$
169894	Solve for a	solve 10+a=9	solve $10 + a = 9$
169895	Solve for x	\|2x-1\|=\|x+3\|	$\| 2 x - 1 \| = \| x + 3 \|$
169896	Solve by Addition/Elimination	-4x-4y=0 4x+4y=0	$- 4 x - 4 y = 0$ $4 x + 4 y = 0$
169897	Simplify	(5p+5q)/(4p+4q)	$\frac{5 p + 5 q}{4 p + 4 q}$
169898	Simplify	(x^-2)/-2	$\frac{x^{- 2}}{- 2}$
169899	Multiply	(7x+5)(2x^3-4x^2+9x-3)	$(7 x + 5) (2 x^{3} - 4 x^{2} + 9 x - 3)$
169900	Solve the Inequality for z	-7+10z>-27	$- 7 + 10 z > - 27$