Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
234701	Find the Excluded Values	1/(x+1)+3=7/(x+1)	$\frac{1}{x + 1} + 3 = \frac{7}{x + 1}$
234702	Determine if Dependent, Independent, or Inconsistent	4x=2y-6 y+4x=3	$4 x = 2 y - 6$ $y + 4 x = 3$
234703	Write the Fraction in Simplest Form	2/3*9/10	$\frac{2}{3} \cdot \frac{9}{10}$
234704	Graph	\|x-5\|<-1	$\| x - 5 \| < - 1$
234705	Simplify	((5x^13y^5z^2)/(3*5^2))	$(\frac{5 x^{13} y^{5} z^{2}}{3 \cdot 5^{2}})$
234706	Solve the Inequality for x	(3x-4)/3<x	$\frac{3 x - 4}{3} < x$
234707	Simplify	((3e^3)/(6e^2))^2	${(\frac{3 e^{3}}{6 e^{2}})}^{2}$
234708	Simplify the Radical Expression	- square root of 81+ square root of -49+ square root of 25+ square root of -1	$- \sqrt{81} + \sqrt{- 49} + \sqrt{25} + \sqrt{- 1}$
234709	Simplify	(21x^5y^12)/((3x^-2y^7)^2)	$\frac{21 x^{5} y^{12}}{{(3 x^{- 2} y^{7})}^{2}}$
234710	Graph	x-4>=4 and 6>=x-4	$x - 4 \geq 4$ and $6 \geq x - 4$
234711	Find the Roots (Zeros)	(x^2-7x-18)/(x+2)=x-9	$\frac{x^{2} - 7 x - 18}{x + 2} = x - 9$
234712	Graph	f(x)=x/x	$f (x) = \frac{x}{x}$
234713	Evaluate	(x^-6y^-1y)/(x^2)	$\frac{x^{- 6} y^{- 1} y}{x^{2}}$
234714	Solve by Substitution	2x+4y=28 -2y=x+28	$2 x + 4 y = 28$ $- 2 y = x + 28$
234715	Graph	f(x)=3 if X<2; X-1 if X>=2	$f (x) = {\begin{cases} 3 & X < 2 \\ X - 1 & X \geq 2 \end{cases}$
234716	Simplify	8(7g)+8g	$8 (7 g) + 8 g$
234717	Simplify the Radical Expression	3x square root of 180x^5-10 square root of 180x^7	$3 x \sqrt{180 x^{5}} - 10 \sqrt{180 x^{7}}$
234718	Solve the Inequality for x	-3x^2+3x+4<=-2	$- 3 x^{2} + 3 x + 4 \leq - 2$
234719	Factor	1/(1-x^2)	$\frac{1}{1 - x^{2}}$
234720	Evaluate	( square root of 0.9-1)/(0.9-1)	$\frac{\sqrt{0.9} - 1}{0.9 - 1}$
234721	Evaluate	\|x-5\|>14	$\| x - 5 \| > 14$
234722	Simplify	(x+2)(x^2-3x+2)x^2	$(x + 2) (x^{2} - 3 x + 2) x^{2}$
234723	Combine Like Terms	(-7x^5+14-2x)+(10x^4+7x+5x^5)	$(- 7 x^{5} + 14 - 2 x) + (10 x^{4} + 7 x + 5 x^{5})$
234724	Solve for c	5(8)=3478-3c	$5 (8) = 3478 - 3 c$
234725	Find the Domain of the Composition f(g(x))	f(x)=2/(x-7) , g(x) = square root of x-2	$f (x) = \frac{2}{x - 7}$ , $g (x) = \sqrt{x - 2}$
234726	Simplify	((8v^2w^-3x^2)^2)/((2v^3w^2x^-4)^6)*(-v^2w^3x^-2)^-3	$\frac{{(8 v^{2} w^{- 3} x^{2})}^{2}}{{(2 v^{3} w^{2} x^{- 4})}^{6}} \cdot {(- v^{2} w^{3} x^{- 2})}^{- 3}$
234727	Simplify	(9x^3-4x^2-1)-(7-9x^2+9x^3)	$(9 x^{3} - 4 x^{2} - 1) - (7 - 9 x^{2} + 9 x^{3})$
234728	Divide Using Long Polynomial Division	Use the long division method to find the result when 6x^3+15x^2+17x+12 is divided by 2x+3	Use the long division method to find the result when $6 x^{3} + 15 x^{2} + 17 x + 12$ is divided by $2 x + 3$
234729	Simplify	(2x^2-4x+3y-6)-(4y^2-3x-7y+4)	$(2 x^{2} - 4 x + 3 y - 6) - (4 y^{2} - 3 x - 7 y + 4)$
234730	Divide	(25m^2-20m+4)÷(5m-2)	$(25 m^{2} - 20 m + 4) \div (5 m - 2)$
234731	Graph	2y-x<=2 y-3x>=-4 y>=-1	$2 y - x \leq 2$ $y - 3 x \geq - 4$ $y \geq - 1$
234732	Evaluate	2*2^(1/2)	$2 \cdot 2^{\frac{1}{2}}$
234733	Graph	g(x)=4\|1-x\|	$g (x) = 4 \| 1 - x \|$
234734	Solve for x	natural log of 3x-1- natural log of x+2=0	$\ln (3 x - 1) - \ln (x + 2) = 0$
234735	Simplify the Radical Expression	( square root of z)/( square root of z- square root of 3)	$\frac{\sqrt{z}}{\sqrt{z} - \sqrt{3}}$
234736	Solve Using the Square Root Property	2(x+5)^2+37=39	$2 {(x + 5)}^{2} + 37 = 39$
234737	Solve for r	4(2r-17)+5(3r-8)=0	$4 (2 r - 17) + 5 (3 r - 8) = 0$
234738	Simplify	(x^-2)^(-1/2)	${(x^{- 2})}^{- \frac{1}{2}}$
234739	Factor	f(x)=x^4+9x^3+15x^2+9x+14	$f (x) = x^{4} + 9 x^{3} + 15 x^{2} + 9 x + 14$
234740	Write the Fraction in Simplest Form	(x^(2/3))^-3	${(x^{\frac{2}{3}})}^{- 3}$
234741	Subtract	(v^2-4v)/(5v^2+9v-2)-(2v+16)/(5v^2+9v-2)	$\frac{v^{2} - 4 v}{5 v^{2} + 9 v - 2} - \frac{2 v + 16}{5 v^{2} + 9 v - 2}$
234742	Write as a Single Logarithm	5 natural log of x-2- natural log of x+2-3 natural log of x	$5 \ln (x - 2) - \ln (x + 2) - 3 \ln (x)$
234743	Solve for x	-(2x)/((x^2+1)^2)=0	$- \frac{2 x}{{(x^{2} + 1)}^{2}} = 0$
234744	Solve for x	(x-1)=3(x+2)	$(x - 1) = 3 (x + 2)$
234745	Evaluate the Function	f(x)=(x^2-36)/(x+6) at x=-6	$f (x) = \frac{x^{2} - 36}{x + 6}$ at $x = - 6$
234746	Solve for x	7(x+7)=9(9+10)	$7 (x + 7) = 9 (9 + 10)$
234747	Evaluate	1/(-4/3)	$\frac{1}{- \frac{4}{3}}$
234748	Find the Domain and Range	y=3cot(pix)	$y = 3 \cot (π x)$
234749	Solve the System of Equations	y=3x^2-3x-20 11=3x-y	$y = 3 x^{2} - 3 x - 20$ $11 = 3 x - y$
234750	Simplify	((-4)^2m^4n^-7)/((-2)^-2q^5r^-3)	$\frac{{(- 4)}^{2} m^{4} n^{- 7}}{{(- 2)}^{- 2} q^{5} r^{- 3}}$
234751	Simplify	g^2+1/4(44g^2-12g+8)-8g	$g^{2} + \frac{1}{4} (44 g^{2} - 12 g + 8) - 8 g$
234752	Solve for b	-108=-b-8(1+3b)	$- 108 = - b - 8 (1 + 3 b)$
234753	Evaluate	123+33.0+(4.810^-2)-(6.60010^3)	$123 + 33 + (4.8 \times 10^{- 2}) - (6.6 \times 10^{3})$
234754	Simplify	(x^2)/(5+ square root of x^2+25)	$\frac{x^{2}}{5 + \sqrt{x^{2} + 25}}$
234755	Simplify the Radical Expression	cube root of 2^5	$\sqrt[3]{2^{5}}$
234756	Simplify	((b+3)/(20b+70))÷(7/(20b+70))	$\frac{b + 3}{20 b + 70} \div \frac{7}{20 b + 70}$
234757	Solve the System of Equations	x+2y-z=0 x+y+z=7 -x-8y+3z=-8	$x + 2 y - z = 0$ $x + y + z = 7$ $- x - 8 y + 3 z = - 8$
234758	Solve for x	sin(x)^2+cos(x)^2=2	$\sin^{2} (x) + \cos^{2} (x) = 2$
234759	Simplify	2ab+4ac-5c-6c+7ab	$2 a b + 4 a c - 5 c - 6 c + 7 a b$
234760	Solve for z	(-3z-1)/2>4	$\frac{- 3 z - 1}{2} > 4$
234761	Simplify the Radical Expression	4 square root of 2+2 square root of 2-5 square root of 2	$4 \sqrt{2} + 2 \sqrt{2} - 5 \sqrt{2}$
234762	Simplify the Radical Expression	square root of 75/3	$\sqrt{\frac{75}{3}}$
234763	Solve the Inequality for x	(5x-10)/(8-x)>=0	$\frac{5 x - 10}{8 - x} \geq 0$
234764	Simplify	(2^3)^2+(2*3^2)^2	${(2^{3})}^{2} + {(2 \cdot 3^{2})}^{2}$
234765	Simplify	(5^6)/5*(5^3)/(5^2)	$\frac{5^{6}}{5} \cdot \frac{5^{3}}{5^{2}}$
234766	Simplify	3/4+5/10	$\frac{3}{4} + \frac{5}{10}$
234767	Simplify	7^4 square root of 567+5^4 square root of 7	$7^{4} \sqrt{567} + 5^{4} \sqrt{7}$
234768	Solve the Inequality for x	5\|x-1\|+6<=76	$5 \| x - 1 \| + 6 \leq 76$
234769	Simplify	(a/c*b/a)/((ac)/(4a))	$\frac{\frac{a}{c} \cdot \frac{b}{a}}{\frac{a c}{4 a}}$
234770	Solve by Graphing	y=5x-7 -3x-2y=-12	$y = 5 x - 7$ $- 3 x - 2 y = - 12$
234771	Simplify the Radical Expression	sixth root of 1/(2s)	$\sqrt[6]{\frac{1}{2 s}}$
234772	Solve the System of Equations	y=-1/2x-2 x+2y=-4	$y = - \frac{1}{2} x - 2$ $x + 2 y = - 4$
234773	Graph	y<=3x-2 and y>=1/2x+3	$y \leq 3 x - 2$ and $y \geq \frac{1}{2} x + 3$
234774	Evaluate	((1320000)(25000))/((0.000002)(0.0011))	$\frac{(1320000) (25000)}{(0.000002) (0.0011)}$
234775	Solve the System of Equations	2x-y-z=4 -x+2y+z=1 3x+y+z=16	$2 x - y - z = 4$ $- x + 2 y + z = 1$ $3 x + y + z = 16$
234776	Simplify the Radical Expression	cube root of 3(5 cube root of 9-4)	$\sqrt[3]{3} (5 \sqrt[3]{9} - 4)$
234777	Find the Roots (Zeros)	x^2(x-1)	$x^{2} (x - 1)$
234778	Solve for x	square root of 2x^2+4x=4	$\sqrt{2 x^{2} + 4 x} = 4$
234779	Evaluate	(x^8x^-4)/(y^5y^6)	$\frac{x^{8} x^{- 4}}{y^{5} y^{6}}$
234780	Solve by Isolating the Absolute Value for X	A=(CD)/X	$A = \frac{C D}{X}$
234781	Evaluate	((1 1/8+1 1/2)÷3)÷(5 1/2-(9/20)÷1 4/5)	$(1 \frac{1}{8} + 1 \frac{1}{2}) \div 3 \div (5 \frac{1}{2} - \frac{9}{20} \div 1 \frac{4}{5})$
234782	Simplify	a1/2*a1/3	$a \frac{1}{2} \cdot a \frac{1}{3}$
234783	Graph	cos(1x)^(-)	${\cos (1 x)}^{-}$
234784	Solve for x	-\|6+3x\|-8<-11	$- \| 6 + 3 x \| - 8 < - 11$
234785	Solve for x	tan(pi/12)=cot(x-pi/36)	$\tan (\frac{π}{12}) = \cot (x - \frac{π}{36})$
234786	Solve the Inequality for v	-2(5v-12)>6-v	$- 2 (5 v - 12) > 6 - v$
234787	Factor	25a^2-16(a-b)^2	$25 a^{2} - 16 {(a - b)}^{2}$
234788	Simplify	plus or minus square root of (1-cos(7A))/2	$\pm \sqrt{\frac{1 - \cos (7 A)}{2}}$
234789	Solve the System of Equations	x-y+3z=3 -2x+2y-6z=6 y-5z=-3	$x - y + 3 z = 3$ $- 2 x + 2 y - 6 z = 6$ $y - 5 z = - 3$
234790	Simplify	square root of 36	square root of $36$
234791	Find the Roots (Zeros)	y=5sin(x)	$y = 5 \sin (x)$
234792	Simplify	fourth root of (30x^2)^3	$\sqrt[4]{{(30 x^{2})}^{3}}$
234793	Multiply	2/7(-1/4)	$\frac{2}{7} (- \frac{1}{4})$
234794	Simplify	(y^2x)/(yx^-3)	$\frac{y^{2} x}{y x^{- 3}}$
234795	Write in Exponential Form	x root of y root of 6	$\sqrt[x]{\sqrt[y]{6}}$
234796	Evaluate	(3v^2-7v-10)(v-4)^-1	$(3 v^{2} - 7 v - 10) {(v - 4)}^{- 1}$
234797	Solve for t	r=r_0+1/5at^2	$r = r_{0} + \frac{1}{5} a t^{2}$
234798	Simplify the Radical Expression	i^30	$i^{30}$
234799	Solve the System of Equations	2x-4y-z=10 4x-8y-2z=16 3x+y+z=12	$2 x - 4 y - z = 10$ $4 x - 8 y - 2 z = 16$ $3 x + y + z = 12$
234800	Simplify	square root of 1/8	$\sqrt[2]{\frac{1}{8}}$