Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
234701	Simplify the Radical Expression	3x square root of 180x^5-10 square root of 180x^7	$3 x \sqrt{180 x^{5}} - 10 \sqrt{180 x^{7}}$
234702	Solve the Inequality for x	-3x^2+3x+4<=-2	$- 3 x^{2} + 3 x + 4 \leq - 2$
234703	Factor	1/(1-x^2)	$\frac{1}{1 - x^{2}}$
234704	Evaluate	( square root of 0.9-1)/(0.9-1)	$\frac{\sqrt{0.9} - 1}{0.9 - 1}$
234705	Evaluate	\|x-5\|>14	$\| x - 5 \| > 14$
234706	Simplify	(x+2)(x^2-3x+2)x^2	$(x + 2) (x^{2} - 3 x + 2) x^{2}$
234707	Combine Like Terms	(-7x^5+14-2x)+(10x^4+7x+5x^5)	$(- 7 x^{5} + 14 - 2 x) + (10 x^{4} + 7 x + 5 x^{5})$
234708	Solve for c	5(8)=3478-3c	$5 (8) = 3478 - 3 c$
234709	Find the Domain of the Composition f(g(x))	f(x)=2/(x-7) , g(x) = square root of x-2	$f (x) = \frac{2}{x - 7}$ , $g (x) = \sqrt{x - 2}$
234710	Simplify	((8v^2w^-3x^2)^2)/((2v^3w^2x^-4)^6)*(-v^2w^3x^-2)^-3	$\frac{{(8 v^{2} w^{- 3} x^{2})}^{2}}{{(2 v^{3} w^{2} x^{- 4})}^{6}} \cdot {(- v^{2} w^{3} x^{- 2})}^{- 3}$
234711	Simplify	(9x^3-4x^2-1)-(7-9x^2+9x^3)	$(9 x^{3} - 4 x^{2} - 1) - (7 - 9 x^{2} + 9 x^{3})$
234712	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 $2 x + 3$
234713	Simplify	(2x^2-4x+3y-6)-(4y^2-3x-7y+4)	$(2 x^{2} - 4 x + 3 y - 6) - (4 y^{2} - 3 x - 7 y + 4)$
234714	Divide	(25m^2-20m+4)÷(5m-2)	$(25 m^{2} - 20 m + 4) \div (5 m - 2)$
234715	Graph	2y-x<=2 y-3x>=-4 y>=-1	$2 y - x \leq 2$ $y - 3 x \geq - 4$ $y \geq - 1$
234716	Evaluate	2*2^(1/2)	$2 \cdot 2^{\frac{1}{2}}$
234717	Graph	g(x)=4\|1-x\|	$g (x) = 4 \| 1 - x \|$
234718	Solve for x	natural log of 3x-1- natural log of x+2=0	$\ln (3 x - 1) - \ln (x + 2) = 0$
234719	Simplify the Radical Expression	( square root of z)/( square root of z- square root of 3)	$\frac{\sqrt{z}}{\sqrt{z} - \sqrt{3}}$
234720	Solve Using the Square Root Property	2(x+5)^2+37=39	$2 {(x + 5)}^{2} + 37 = 39$
234721	Solve for r	4(2r-17)+5(3r-8)=0	$4 (2 r - 17) + 5 (3 r - 8) = 0$
234722	Simplify	(x^-2)^(-1/2)	${(x^{- 2})}^{- \frac{1}{2}}$
234723	Factor	f(x)=x^4+9x^3+15x^2+9x+14	$f (x) = x^{4} + 9 x^{3} + 15 x^{2} + 9 x + 14$
234724	Write the Fraction in Simplest Form	(x^(2/3))^-3	${(x^{\frac{2}{3}})}^{- 3}$
234725	Subtract	(v^2-4v)/(5v^2+9v-2)-(2v+16)/(5v^2+9v-2)	$\frac{v^{2} - 4 v}{5 v^{2} + 9 v - 2} - \frac{2 v + 16}{5 v^{2} + 9 v - 2}$
234726	Write as a Single Logarithm	5 natural log of x-2- natural log of x+2-3 natural log of x	$5 \ln (x - 2) - \ln (x + 2) - 3 \ln (x)$
234727	Solve for x	-(2x)/((x^2+1)^2)=0	$- \frac{2 x}{{(x^{2} + 1)}^{2}} = 0$
234728	Solve for x	(x-1)=3(x+2)	$(x - 1) = 3 (x + 2)$
234729	Evaluate the Function	f(x)=(x^2-36)/(x+6) at x=-6	$f (x) = \frac{x^{2} - 36}{x + 6}$ at $x = - 6$
234730	Solve for x	7(x+7)=9(9+10)	$7 (x + 7) = 9 (9 + 10)$
234731	Evaluate	1/(-4/3)	$\frac{1}{- \frac{4}{3}}$
234732	Find the Domain and Range	y=3cot(pix)	$y = 3 \cot (π x)$
234733	Solve the System of Equations	y=3x^2-3x-20 11=3x-y	$y = 3 x^{2} - 3 x - 20$ $11 = 3 x - y$
234734	Simplify	((-4)^2m^4n^-7)/((-2)^-2q^5r^-3)	$\frac{{(- 4)}^{2} m^{4} n^{- 7}}{{(- 2)}^{- 2} q^{5} r^{- 3}}$
234735	Simplify	g^2+1/4(44g^2-12g+8)-8g	$g^{2} + \frac{1}{4} (44 g^{2} - 12 g + 8) - 8 g$
234736	Solve for b	-108=-b-8(1+3b)	$- 108 = - b - 8 (1 + 3 b)$
234737	Evaluate	123+33.0+(4.810^-2)-(6.60010^3)	$123 + 33 + (4.8 \times 10^{- 2}) - (6.6 \times 10^{3})$
234738	Simplify	(x^2)/(5+ square root of x^2+25)	$\frac{x^{2}}{5 + \sqrt{x^{2} + 25}}$
234739	Simplify the Radical Expression	cube root of 2^5	$\sqrt[3]{2^{5}}$
234740	Simplify	((b+3)/(20b+70))÷(7/(20b+70))	$\frac{b + 3}{20 b + 70} \div \frac{7}{20 b + 70}$
234741	Solve the System of Equations	x+2y-z=0 x+y+z=7 -x-8y+3z=-8	$x + 2 y - z = 0$ $x + y + z = 7$ $- x - 8 y + 3 z = - 8$
234742	Solve for x	sin(x)^2+cos(x)^2=2	$\sin^{2} (x) + \cos^{2} (x) = 2$
234743	Simplify	2ab+4ac-5c-6c+7ab	$2 a b + 4 a c - 5 c - 6 c + 7 a b$
234744	Solve for z	(-3z-1)/2>4	$\frac{- 3 z - 1}{2} > 4$
234745	Simplify the Radical Expression	4 square root of 2+2 square root of 2-5 square root of 2	$4 \sqrt{2} + 2 \sqrt{2} - 5 \sqrt{2}$
234746	Simplify the Radical Expression	square root of 75/3	$\sqrt{\frac{75}{3}}$
234747	Solve the Inequality for x	(5x-10)/(8-x)>=0	$\frac{5 x - 10}{8 - x} \geq 0$
234748	Simplify	(2^3)^2+(2*3^2)^2	${(2^{3})}^{2} + {(2 \cdot 3^{2})}^{2}$
234749	Simplify	(5^6)/5*(5^3)/(5^2)	$\frac{5^{6}}{5} \cdot \frac{5^{3}}{5^{2}}$
234750	Simplify	3/4+5/10	$\frac{3}{4} + \frac{5}{10}$
234751	Simplify	7^4 square root of 567+5^4 square root of 7	$7^{4} \sqrt{567} + 5^{4} \sqrt{7}$
234752	Solve the Inequality for x	5\|x-1\|+6<=76	$5 \| x - 1 \| + 6 \leq 76$
234753	Simplify	(a/c*b/a)/((ac)/(4a))	$\frac{\frac{a}{c} \cdot \frac{b}{a}}{\frac{a c}{4 a}}$
234754	Solve by Graphing	y=5x-7 -3x-2y=-12	$y = 5 x - 7$ $- 3 x - 2 y = - 12$
234755	Simplify the Radical Expression	sixth root of 1/(2s)	$\sqrt[6]{\frac{1}{2 s}}$
234756	Solve the System of Equations	y=-1/2x-2 x+2y=-4	$y = - \frac{1}{2} x - 2$ $x + 2 y = - 4$
234757	Graph	y<=3x-2 and y>=1/2x+3	$y \leq 3 x - 2$ and $y \geq \frac{1}{2} x + 3$
234758	Evaluate	((1320000)(25000))/((0.000002)(0.0011))	$\frac{(1320000) (25000)}{(0.000002) (0.0011)}$
234759	Solve the System of Equations	2x-y-z=4 -x+2y+z=1 3x+y+z=16	$2 x - y - z = 4$ $- x + 2 y + z = 1$ $3 x + y + z = 16$
234760	Simplify the Radical Expression	cube root of 3(5 cube root of 9-4)	$\sqrt[3]{3} (5 \sqrt[3]{9} - 4)$
234761	Find the Roots (Zeros)	x^2(x-1)	$x^{2} (x - 1)$
234762	Solve for x	square root of 2x^2+4x=4	$\sqrt{2 x^{2} + 4 x} = 4$
234763	Evaluate	(x^8x^-4)/(y^5y^6)	$\frac{x^{8} x^{- 4}}{y^{5} y^{6}}$
234764	Solve by Isolating the Absolute Value for X	A=(CD)/X	$A = \frac{C D}{X}$
234765	Evaluate	((1 1/8+1 1/2)÷3)÷(5 1/2-(9/20)÷1 4/5)	$(1 \frac{1}{8} + 1 \frac{1}{2}) \div 3 \div (5 \frac{1}{2} - \frac{9}{20} \div 1 \frac{4}{5})$
234766	Simplify	a1/2*a1/3	$a \frac{1}{2} \cdot a \frac{1}{3}$
234767	Graph	cos(1x)^(-)	${\cos (1 x)}^{-}$
234768	Solve for x	-\|6+3x\|-8<-11	$- \| 6 + 3 x \| - 8 < - 11$
234769	Solve for x	tan(pi/12)=cot(x-pi/36)	$\tan (\frac{π}{12}) = \cot (x - \frac{π}{36})$
234770	Solve the Inequality for v	-2(5v-12)>6-v	$- 2 (5 v - 12) > 6 - v$
234771	Factor	25a^2-16(a-b)^2	$25 a^{2} - 16 {(a - b)}^{2}$
234772	Simplify	plus or minus square root of (1-cos(7A))/2	$\pm \sqrt{\frac{1 - \cos (7 A)}{2}}$
234773	Solve the System of Equations	x-y+3z=3 -2x+2y-6z=6 y-5z=-3	$x - y + 3 z = 3$ $- 2 x + 2 y - 6 z = 6$ $y - 5 z = - 3$
234774	Simplify	square root of 36	square root of $36$
234775	Find the Roots (Zeros)	y=5sin(x)	$y = 5 \sin (x)$
234776	Simplify	fourth root of (30x^2)^3	$\sqrt[4]{{(30 x^{2})}^{3}}$
234777	Multiply	2/7(-1/4)	$\frac{2}{7} (- \frac{1}{4})$
234778	Simplify	(y^2x)/(yx^-3)	$\frac{y^{2} x}{y x^{- 3}}$
234779	Write in Exponential Form	x root of y root of 6	$\sqrt[x]{\sqrt[y]{6}}$
234780	Evaluate	(3v^2-7v-10)(v-4)^-1	$(3 v^{2} - 7 v - 10) {(v - 4)}^{- 1}$
234781	Solve for t	r=r_0+1/5at^2	$r = r_{0} + \frac{1}{5} a t^{2}$
234782	Simplify the Radical Expression	i^30	$i^{30}$
234783	Solve the System of Equations	2x-4y-z=10 4x-8y-2z=16 3x+y+z=12	$2 x - 4 y - z = 10$ $4 x - 8 y - 2 z = 16$ $3 x + y + z = 12$
234784	Simplify	square root of 1/8	$\sqrt[2]{\frac{1}{8}}$
234785	Find the Exact Value	cot((3pi)/2)-cos((3pi)/2)	$\cot (\frac{3 π}{2}) - \cos (\frac{3 π}{2})$
234786	Solve for x	-x-2y=-4z+12 3x-6y+z=15 2x+5y+1=0	$- x - 2 y = - 4 z + 12$ $3 x - 6 y + z = 15$ $2 x + 5 y + 1 = 0$
234787	Evaluate	3^2=x+5	$3^{2} = x + 5$
234788	Factor	x^4-6x^3+11x^2-6x	$x^{4} - 6 x^{3} + 11 x^{2} - 6 x$
234789	Factor	x^4+3x^3-4x^2-16x^2-48x+64	$x^{4} + 3 x^{3} - 4 x^{2} - 16 x^{2} - 48 x + 64$
234790	Evaluate	( log base square root of 2 of square root of 5)/( log base square root of 2 of square root of 10)	$\frac{\log_{\sqrt{2}} (\sqrt{5})}{\log_{\sqrt{2}} (\sqrt{10})}$
234791	Simplify	3y^2 fourth root of x^4z-x fourth root of 16y^8z	$3 y^{2} \sqrt[4]{x^{4} z} - x \sqrt[4]{16 y^{8} z}$
234792	Solve the Inequality for c	-1/2c+5<=7	$- \frac{1}{2} c + 5 \leq 7$
234793	Evaluate	(2^3x)^2	${(2^{3} x)}^{2}$
234794	Simplify	(2x-8-(x-3))/(x^2-7x+10)	$\frac{2 x - 8 - (x - 3)}{x^{2} - 7 x + 10}$
234795	Factor	16x^2(4x+3)-25(4x+3)	$16 x^{2} (4 x + 3) - 25 (4 x + 3)$
234796	Solve the Inequality for d	-6d<=-6	$- 6 d \leq - 6$
234797	Multiply	(6m^2-8mn+4n^2)(8m+8n)	$(6 m^{2} - 8 m n + 4 n^{2}) (8 m + 8 n)$
234798	Solve the System of Equations	0.7x-y=5.16 2-0.8x=0.4y	$0.7 x - y = 5.16$ $2 - 0.8 x = 0.4 y$
234799	Convert to Radical Form	(10^4*4^10)/(4^5)	$\frac{10^{4} \cdot 4^{10}}{4^{5}}$
234800	Simplify	6+3 square root of 5-9 square root of 5-4	$6 + 3 \sqrt{5} - 9 \sqrt{5} - 4$