Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
223701	Simplify	((5x^6)/(x^2y))÷((10x^2)/y)	$\frac{5 x^{6}}{x^{2} y} \div \frac{10 x^{2}}{y}$
223702	Graph	y=1+1/2 cube root of x-2	$y = 1 + \frac{1}{2} \sqrt[3]{x - 2}$
223703	Simplify	2/(5 square root of 2-2 square root of 3)	$\frac{2}{5 \sqrt{2} - 2 \sqrt{3}}$
223704	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-5,-4) and has a slope of -3/5 ?	What is the equation of the line that passes through the point $(- 5, - 4)$ and has a slope of $- \frac{3}{5}$ ?
223705	Simplify	(a^(5/4)(2a^(3/4))^3)/(a^(1/4))	$\frac{a^{\frac{5}{4}} {(2 a^{\frac{3}{4}})}^{3}}{a^{\frac{1}{4}}}$
223706	Solve for x	9^(x+1/2)-4*3^x+1=0	$9^{x + \frac{1}{2}} - 4 \cdot 3^{x} + 1 = 0$
223707	Find the First Term	a_n=4+(-1)^n	$a_{n} = 4 + {(- 1)}^{n}$
223708	Simplify the Radical Expression	( square root of 3m)^2	${(\sqrt{3 m})}^{2}$
223709	Find the x and y Intercepts	5(x-2)=12-y	$5 (x - 2) = 12 - y$
223710	Simplify	(2x- square root of 5)( square root of x+1)	$(2 x - \sqrt{5}) (\sqrt{x} + 1)$
223711	Graph	2y<-12x+4 y<-6x+4	$2 y < - 12 x + 4$ $y < - 6 x + 4$
223712	Solve for x	g(-x)=x^2	$g (- x) = x^{2}$
223713	Find the Axis of Symmetry	y=-1/2x^2	$y = - \frac{1}{2} x^{2}$
223714	Evaluate Using Scientific Notation	(310^2)(1.510^-5)	$(3 \times 10^{2}) (1.5 \times 10^{- 5})$
223715	Find the Degree, Leading Term, and Leading Coefficient	y=-2x^2-3x+4	$y = - 2 x^{2} - 3 x + 4$
223716	Evaluate	10% of 70	$10 %$ of $70$
223717	Solve the System of Equations	5x-9y=-48 and x+2y=-2	$5 x - 9 y = - 48$ and $x + 2 y = - 2$
223718	Solve for x	87+123+75+x=360	$87 + 123 + 75 + x = 360$
223719	Multiply	x^2(3x^2+5)	$x^{2} (3 x^{2} + 5)$
223720	Divide Using Synthetic Division	Use synthetic division to find the result when 2x^3-5x^2-x+6 is divided by x+1	Use synthetic division to find the result when $2 x^{3} - 5 x^{2} - x + 6$ is divided by $x + 1$
223721	Simplify the Radical Expression	( cube root of 8)÷( square root of 6)	$\sqrt[3]{8} \div \sqrt{6}$
223722	Solve for x	x+2=5/2	$x + 2 = \frac{5}{2}$
223723	Simplify	square root of 16^( square root of 2^( square root of 16))	$\sqrt{16^{\sqrt{2^{\sqrt{16}}}}}$
223724	Evaluate	(x-3)(6x-2)	$(x - 3) (6 x - 2)$
223725	Evaluate	(( square root of 2)/2)(( square root of 3)/2)+(( square root of 2)/2)(1/2)	$(\frac{\sqrt{2}}{2}) (\frac{\sqrt{3}}{2}) + (\frac{\sqrt{2}}{2}) (\frac{1}{2})$
223726	Evaluate	square root of 2x-1+2=x	$\sqrt{2 x - 1} + 2 = x$
223727	Simplify the Radical Expression	fifth root of 3/(4y)	$\sqrt[5]{\frac{3}{4 y}}$
223728	Simplify the Radical Expression	4x^3 square root of 64x^5	$4 x^{3} \sqrt{64 x^{5}}$
223729	Simplify the Radical Expression	((m^2)/(m^(1/3)))^(-1/2)	${(\frac{m^{2}}{m^{\frac{1}{3}}})}^{- \frac{1}{2}}$
223730	Solve the Inequality for y	1/8y-1<-5	$\frac{1}{8} y - 1 < - 5$
223731	Evaluate	-3(2x^4)(4x^5y)^2	$- 3 (2 x^{4}) {(4 x^{5} y)}^{2}$
223732	Solve for x	square root of x+ square root of y=0	$\sqrt{x} + \sqrt{y} = 0$
223733	Simplify	2(8x^2+3x)^2	$2 {(8 x^{2} + 3 x)}^{2}$
223734	Simplify	(x+5)/9-(x+2)/9	$\frac{x + 5}{9} - \frac{x + 2}{9}$
223735	Divide	(4/3)÷(-12)	$\frac{4}{3} \div (- 12)$
223736	Solve the Inequality for y	7x+8y<=14x-16	$7 x + 8 y \leq 14 x - 16$
223737	Graph	Graph y< = square root of x+3-3	Graph $y \leq \sqrt{x + 3} - 3$
223738	Solve the Inequality for x	2x^2+5x-50<=3x+10	$2 x^{2} + 5 x - 50 \leq 3 x + 10$
223739	Evaluate Using the Given Value	Evaluate 3+jk+k^3 when j=2 and k=6	Evaluate $3 + j k + k^{3}$ when $j = 2$ and $k = 6$
223740	Simplify	((x+y)^0)/(x^0+y^0)	$\frac{{(x + y)}^{0}}{x^{0} + y^{0}}$
223741	Solve for t	10^(t+1)=50	$10^{t + 1} = 50$
223742	Find the Domain and Range	-x^4-7x^3-12x^2	$- x^{4} - 7 x^{3} - 12 x^{2}$
223743	Factor	(x+2)(x-12)-(3x+4)(x+2)	$(x + 2) (x - 12) - (3 x + 4) (x + 2)$
223744	Subtract	(6xy)/(x^2-y^2)-(x+y)/(x-y)	$\frac{6 x y}{x^{2} - y^{2}} - \frac{x + y}{x - y}$
223745	Graph	-7/8<=m-13/8	$- \frac{7}{8} \leq m - \frac{13}{8}$
223746	Simplify	(-9c)^0+(d)^0+2(8e)^0	${(- 9 c)}^{0} + {(d)}^{0} + 2 {(8 e)}^{0}$
223747	Solve by Graphing	3x+2y=6 y=-5/2x+1	$3 x + 2 y = 6$ $y = - \frac{5}{2} x + 1$
223748	Graph	3x+2y=6 y=-5/2x+1	$3 x + 2 y = 6$ $y = - \frac{5}{2} x + 1$
223749	Graph	y<=3x+1 x+y<=-1	$y \leq 3 x + 1$ $x + y \leq - 1$
223750	Describe the Transformation	y=-(x+1)^3+2	$y = - {(x + 1)}^{3} + 2$
223751	Simplify	fifth root of 125x^4y^3* fifth root of 25xy^2	$\sqrt[5]{125 x^{4} y^{3}} \cdot \sqrt[5]{25 x y^{2}}$
223752	Solve for x	5x-4+x=2x	$5 x - 4 + x = 2 x$
223753	Solve the Inequality for x	(2x-5)(3x+1)(x-5)^2<=0	$(2 x - 5) (3 x + 1) {(x - 5)}^{2} \leq 0$
223754	Simplify	(1/7m^3n^2-2/5m^4n+3/8m^2n^2)÷(1/4m^2n)	$(\frac{1}{7} m^{3} n^{2} - \frac{2}{5} m^{4} n + \frac{3}{8} m^{2} n^{2}) \div (\frac{1}{4} m^{2} n)$
223755	Simplify	(3y^3+4y^2-17y-9)÷y+3	$(3 y^{3} + 4 y^{2} - 17 y - 9) \div y + 3$
223756	Solve for x	-7x^3+6=-148	$- 7 x^{3} + 6 = - 148$
223757	Graph	1/(1+x)	$\frac{1}{1 + x}$
223758	Find the GCF	5x^2+x	$5 x^{2} + x$
223759	Find the Product	(x^2+5x-36)/(x^2-49)*(x^2-11x+28)	$\frac{x^{2} + 5 x - 36}{x^{2} - 49} \cdot (x^{2} - 11 x + 28)$
223760	Simplify	(sin(theta)^3)/(tan(theta)-sin(theta))	$\frac{\sin^{3} (θ)}{\tan (θ) - \sin (θ)}$
223761	Find the Product	((x+1)(x-1))^2	${((x + 1) (x - 1))}^{2}$
223762	Graph	square root of 2x+y< square root of 3x-y-1	$\sqrt{2 x + y} < \sqrt{3 x - y - 1}$
223763	Solve for x	-9=x^2-6x	$- 9 = x^{2} - 6 x$
223764	Simplify	2x square root of 20y^2+7y square root of 20x^2- square root of 3xy	$2 x \sqrt{20 y^{2}} + 7 y \sqrt{20 x^{2}} - \sqrt{3 x y}$
223765	Solve for x	2x^2=x+9	$2 x^{2} = x + 9$
223766	Find the Exact Value	cos((2pi)/3)^2	$\cos^{2} (\frac{2 π}{3})$
223767	Solve the Inequality for n	3-6n-4<17	$3 - 6 n - 4 < 17$
223768	Write with Rational (Fractional) Exponents	6x square root of x^4	$6 x \sqrt{x^{4}}$
223769	Solve for x	( cube root of 5)^(-x)=(1/5)^(x+2)	${(\sqrt[3]{5})}^{- x} = {(\frac{1}{5})}^{x + 2}$
223770	Simplify the Radical Expression	fourth root of x^6y^4	$\sqrt[4]{x^{6} y^{4}}$
223771	Graph	2x-y=4 y=-6x+4	$2 x - y = 4$ $y = - 6 x + 4$
223772	Evaluate	3^-8(3)^5	$3^{- 8} {(3)}^{5}$
223773	Solve the System of Equations	2x+y=5 2y=2x-8	$2 x + y = 5$ $2 y = 2 x - 8$
223774	Find the Roots (Zeros)	f(x)=(x^2-4x+4)/(x^2-4)	$f (x) = \frac{x^{2} - 4 x + 4}{x^{2} - 4}$
223775	Solve for x	9x(x+6)-(3x+1)^2=1	$9 x (x + 6) - {(3 x + 1)}^{2} = 1$
223776	Find the Midpoint	(13,-14) and (-13,10)	$(13, - 14)$ and $(- 13, 10)$
223777	Simplify the Radical Expression	( sixth root of 4)/( cube root of 4)	$\frac{\sqrt[6]{4}}{\sqrt[3]{4}}$
223778	Simplify	(4x)/(x+3)-(4x^2-7)/(x^2+3x)	$\frac{4 x}{x + 3} - \frac{4 x^{2} - 7}{x^{2} + 3 x}$
223779	Graph	4x-4<-12 or 4x-4>0	$4 x - 4 < - 12$ or $4 x - 4 > 0$
223780	Solve for v	8/(4v-8)-1=2/(v-2)	$\frac{8}{4 v - 8} - 1 = \frac{2}{v - 2}$
223781	Solve for x	-5\|6+3x\|+2<-43	$- 5 \| 6 + 3 x \| + 2 < - 43$
223782	Solve for q	k=-q/p+1	$k = - \frac{q}{p} + 1$
223783	Find the Slope and y-intercept	-1=-2x+y	$- 1 = - 2 x + y$
223784	Simplify	(1/(x^2)-1/(y^2))/(1/y+1/x)	$\frac{\frac{1}{x^{2}} - \frac{1}{y^{2}}}{\frac{1}{y} + \frac{1}{x}}$
223785	Simplify	y/(3y^2-12)*(y^2-4y+4)	$\frac{y}{3 y^{2} - 12} \times (y^{2} - 4 y + 4)$
223786	Describe the Transformation	y=3- square root of 2x	$y = 3 - \sqrt{2 x}$
223787	Solve for x	square root of (x+5)^2=x+5	$\sqrt{{(x + 5)}^{2}} = x + 5$
223788	Simplify	( square root of 2+3)( square root of 2-3)x^2	$(\sqrt{2} + 3) (\sqrt{2} - 3) x^{2}$
223789	Evaluate	(2a-5+b)*5	$(2 a - 5 + b) \cdot 5$
223790	Simplify	((4x^3)^3)/((8x^-1)^4)	$\frac{{(4 x^{3})}^{3}}{{(8 x^{- 1})}^{4}}$
223791	Divide	(6a^2b-12ab^2)/(-2ab)	$\frac{6 a^{2} b - 12 a b^{2}}{- 2 a b}$
223792	Simplify	1/7xy(7xy)^3	$\frac{1}{7} x y {(7 x y)}^{3}$
223793	Factor	8(2x+3)^2(x-7)^4-(2x+3)^3(x-7)^3	$8 {(2 x + 3)}^{2} {(x - 7)}^{4} - {(2 x + 3)}^{3} {(x - 7)}^{3}$
223794	Simplify	c+c+7+5c-3-6c	$c + c + 7 + 5 c - 3 - 6 c$
223795	Solve for x	10x-2x+12=2(3x+5)+2x	$10 x - 2 x + 12 = 2 (3 x + 5) + 2 x$
223796	Solve for z	3/4(y-z)=x	$\frac{3}{4} (y - z) = x$
223797	Factor	9(x+7)^3(5x+8)^3-(x+7)^2(5x+8)^4	$9 {(x + 7)}^{3} {(5 x + 8)}^{3} - {(x + 7)}^{2} {(5 x + 8)}^{4}$
223798	Multiply	( square root of 5a)( square root of 2a)(3 square root of 10a^2)	$(\sqrt{5 a}) (\sqrt{2 a}) (3 \sqrt{10 a^{2}})$
223799	Solve by Graphing	x-y=4 y=-4/5x+5	$x - y = 4$ $y = - \frac{4}{5} x + 5$
223800	Simplify the Radical Expression	(z^7)/(z^-14)	$\frac{z^{7}}{z^{- 14}}$