Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
211901	Evaluate	(3y^2+y^3-5)+(4y^2-4y+2y^3+8)	$(3 y^{2} + y^{3} - 5) + (4 y^{2} - 4 y + 2 y^{3} + 8)$
211902	Rationalize the Denominator	5/(-6+ square root of 6)	$\frac{5}{- 6 + \sqrt{6}}$
211903	Solve for x	square root of 2x-1-x+2=0	$\sqrt{2 x - 1 - x + 2} = 0$
211904	Subtract	[[0,0],[0,0]]-[[x,y],[z,w]]	$[\begin{array}{c} 0 & 0 \\ 0 & 0 \end{array}] - [\begin{array}{c} x & y \\ z & w \end{array}]$
211905	Simplify	(8-5i)*2	$(8 - 5 i) \cdot 2$
211906	Find the x and y Intercepts	(-2x^2+32)/(3x-12)	$\frac{- 2 x^{2} + 32}{3 x - 12}$
211907	Factor	f(x)=x^4-2x^3+x^2	$f (x) = x^{4} - 2 x^{3} + x^{2}$
211908	Solve for x	15=9+ square root of x	$15 = 9 + \sqrt{x}$
211909	Find the Roots (Zeros)	1-(x-3)/2=(2-x)/3+4	$1 - \frac{x - 3}{2} = \frac{2 - x}{3} + 4$
211910	Find the Degree, Leading Term, and Leading Coefficient	f(x)=-x^5-9x^2-10x^3-4x^4-10	$f (x) = - x^{5} - 9 x^{2} - 10 x^{3} - 4 x^{4} - 10$
211911	Solve for x	square root of x+2=2x-6	$\sqrt{x + 2} = 2 x - 6$
211912	Multiply	(4/9y^2-1/4)^2	${(\frac{4}{9} y^{2} - \frac{1}{4})}^{2}$
211913	Solve for x	-7(x-2)+1<x	$- 7 (x - 2) + 1 < x$
211914	Simplify the Radical Expression	fourth root of 81x	$\sqrt[4]{81 x}$
211915	Simplify	((6x)^2)/((4x^2)^3)	$\frac{{(6 x)}^{2}}{{(4 x^{2})}^{3}}$
211916	Solve for C	C=1-5/2D	$C = 1 - \frac{5}{2} D$
211917	Evaluate the Function	f(x)=4x^2+2x-1 at x=0	$f (x) = 4 x^{2} + 2 x - 1$ at $x = 0$
211918	Solve by Factoring	x^2+x+53=4-13x	$x^{2} + x + 53 = 4 - 13 x$
211919	Find the Exact Value	4(-2)^2+8(-2)+3(-2)+6	$4 {(- 2)}^{2} + 8 (- 2) + 3 (- 2) + 6$
211920	Simplify	((6-x)/(64-x^2)*(x^3+12x^2+32x)/(6x^3-12x^2-144x))÷((x^2-15x+54)/(x^2-15x+54))	$\frac{6 - x}{64 - x^{2}} \cdot \frac{x^{3} + 12 x^{2} + 32 x}{6 x^{3} - 12 x^{2} - 144 x} \div \frac{x^{2} - 15 x + 54}{x^{2} - 15 x + 54}$
211921	Solve for x	(6^(1/4))/(36^(-x/2))=1	$\frac{6^{\frac{1}{4}}}{36^{- \frac{x}{2}}} = 1$
211922	Graph	y=1/2(x+2)-4	$y = \frac{1}{2} (x + 2) - 4$
211923	Simplify	(5^-8)^-6	${(5^{- 8})}^{- 6}$
211924	Graph	The graph of y=f(x) is shown below. What are all of the real solutions of f(x)=0 ?	The graph of $y = f (x)$ is shown below. What are all of the real solutions of $f (x) = 0$ ?
211925	Solve for x	8(x-2)-5(x+4)=20+x	$8 (x - 2) - 5 (x + 4) = 20 + x$
211926	Find the Quotient	(-6x^2y^8+12xy^3-36xy^2)/(6xy^2)	$\frac{- 6 x^{2} y^{8} + 12 x y^{3} - 36 x y^{2}}{6 x y^{2}}$
211927	Simplify	- square root of -16/25	$- \sqrt{- \frac{16}{25}}$
211928	Write in Standard Form	(-6x^2-x)-(-4x^2+10x-1)	$(- 6 x^{2} - x) - (- 4 x^{2} + 10 x - 1)$
211929	Find the Product	x(x^2-x+3)	$x (x^{2} - x + 3)$
211930	Multiply	(x+2)/(x^2+14x+49)*(x^2+6x-7)/(x^2+x-2)	$\frac{x + 2}{x^{2} + 14 x + 49} \cdot \frac{x^{2} + 6 x - 7}{x^{2} + x - 2}$
211931	Solve for t	24<=-6t	$24 \leq - 6 t$
211932	Simplify the Radical Expression	( fourth root of 32)/( cube root of 2)	$\frac{\sqrt[4]{32}}{\sqrt[3]{2}}$
211933	Graph	3x+2y<=12 3x+2y>=6	$3 x + 2 y \leq 12$ $3 x + 2 y \geq 6$
211934	Factor	7(3x+2)^2(x-1)^2+(3x+2)(x-1)^3	$7 {(3 x + 2)}^{2} {(x - 1)}^{2} + (3 x + 2) {(x - 1)}^{3}$
211935	Solve the Inequality for x	4>=x+3/4	$4 \geq x + \frac{3}{4}$
211936	Evaluate	square root of x+2+6=5	$\sqrt{x + 2} + 6 = 5$
211937	Evaluate	((2.0010^4)(1.9010^-3))/((1.044)(500))	$\frac{(2 \times 10^{4}) (1.9 \times 10^{- 3})}{(1.044) (500)}$
211938	Plot	y>1/2x-1 y<=-2x+6	$y > \frac{1}{2} x - 1$ $y \leq - 2 x + 6$
211939	Solve for x	square root of 8x+1 = square root of 2x+5	$\sqrt{8 x} + 1 = \sqrt{2 x + 5}$
211940	Graph	y=6 log of x+3	$y = 6 \log (x) + 3$
211941	Solve for r	15=4/3pir^3	$15 = \frac{4}{3} π r^{3}$
211942	Find the Domain and Range	y=(-x-1)^2+3	$y = {(- x - 1)}^{2} + 3$
211943	Graph	-5x+4<=2y	$- 5 x + 4 \leq 2 y$
211944	Simplify	3/(ax-ay)+2/(by-bx)	$\frac{3}{a x - a y} + \frac{2}{b y - b x}$
211945	Simplify	(5-2x)/(4x+12x^2)-(5-6x)/(4x+12x^2)	$\frac{5 - 2 x}{4 x + 12 x^{2}} - \frac{5 - 6 x}{4 x + 12 x^{2}}$
211946	Find the Degree, Leading Term, and Leading Coefficient	4-1/10x^3	$4 - \frac{1}{10} x^{3}$
211947	Solve the System of Equations	2x+y=-10 -y=2x+10	$2 x + y = - 10$ $- y = 2 x + 10$
211948	Simplify	(3 square root of 7)/( square root of 5-1)	$\frac{3 \sqrt{7}}{\sqrt{5} - 1}$
211949	Divide Using Long Polynomial Division	(2x^4+3x^2+x-1)÷(x-2)	$(2 x^{4} + 3 x^{2} + x - 1) \div (x - 2)$
211950	Graph	y=5x-15 2y=x+7	$y = 5 x - 15$ $2 y = x + 7$
211951	Divide	( cube root of 10)÷( cube root of 2)	$\sqrt[3]{10} \div \sqrt[3]{2}$
211952	Determine if a Polynomial	-r^2 square root of 7	$- r^{2} \sqrt{7}$
211953	Solve for v	4 = square root of v/2	$4 = \sqrt{\frac{v}{2}}$
211954	Simplify	square root of x^4y^12	$\sqrt{x^{4}} y^{12}$
211955	Simplify	((r^2-2r)/(4r)-2/r)/(1-4/r)	$\frac{\frac{r^{2} - 2 r}{4 r} - \frac{2}{r}}{1 - \frac{4}{r}}$
211956	Evaluate the Function	f(x)=6^x for x=2	$f (x) = 6^{x}$ for $x = 2$
211957	Simplify	(-1/27)^(-1/3)	${(- \frac{1}{27})}^{\frac{- 1}{3}}$
211958	Solve the Rational Equation for x	cube root of x = cube root of 2x-7	$\sqrt[3]{x} = \sqrt[3]{2 x - 7}$
211959	Solve the Inequality for x	sin(x)>1/2	$\sin (x) > \frac{1}{2}$
211960	Simplify	(-3^-2y)^2	${(- 3^{- 2} y)}^{2}$
211961	Solve for y	-4+6y-8=-5(2y-20)+8y	$- 4 + 6 y - 8 = - 5 (2 y - 20) + 8 y$
211962	Simplify	(6x^0)/(2y^-1)	$\frac{6 x^{0}}{2 y^{- 1}}$
211963	Solve by Substitution	6y=-5x+24 2.5x+3y=12	$6 y = - 5 x + 24$ $2.5 x + 3 y = 12$
211964	Simplify	12p+3q-5-5q-8p	$12 p + 3 q - 5 - 5 q - 8 p$
211965	Solve for y	(7y-3)/(y-y^2)=1/(y-1)-5/(y(y-1))	$\frac{7 y - 3}{y - y^{2}} = \frac{1}{y - 1} - \frac{5}{y (y - 1)}$
211966	Divide	( square root of 15xy)/(3 square root of 10xy^3)	$\frac{\sqrt{15 x y}}{3 \sqrt{10 x y^{3}}}$
211967	Simplify	((w+4)/4+1/2)/(3/w+1/2)	$\frac{\frac{w + 4}{4} + \frac{1}{2}}{\frac{3}{w} + \frac{1}{2}}$
211968	Simplify	3/8x+1/8+1/4x+1/4	$\frac{3}{8} x + \frac{1}{8} + \frac{1}{4} x + \frac{1}{4}$
211969	Multiply	(x^2+3y)(x^2-3y)	$(x^{2} + 3 y) (x^{2} - 3 y)$
211970	Find the LCM	5 and 3	$5$ and $3$
211971	Find the Domain and Range	2x=y^2	$2 x = y^{2}$
211972	Find g(h(x))	g(x)=x^2-8 and h(x)=x^2+8	$g (x) = x^{2} - 8$ and $h (x) = x^{2} + 8$
211973	Simplify	((5x)/y)^2((y^3)/(10x^2))	${(\frac{5 x}{y})}^{2} (\frac{y^{3}}{10 x^{2}})$
211974	Simplify	(2x^2y*0.4x^4y^3)/(6x^6y^6)	$\frac{2 x^{2} y \cdot 0.4 x^{4} y^{3}}{6 x^{6} y^{6}}$
211975	Find h(g(x))	g(x)=(x+8)/5 and h(x)=5(x-8)	$g (x) = \frac{x + 8}{5}$ and $h (x) = 5 (x - 8)$
211976	Solve for x	(2x^2+5x+2)^(1/2)=3	${(2 x^{2} + 5 x + 2)}^{\frac{1}{2}} = 3$
211977	Simplify	(-36^04)^-2	${(- 3 \cdot 6^{0} \cdot 4)}^{- 2}$
211978	Solve the Inequality for r	r/6<-6	$\frac{r}{6} < - 6$
211979	Determine if True	sin(x)^4-cos(x)^4=sin(x)^2-cos(x)^2	$\sin^{4} (x) - \cos^{4} (x) = \sin^{2} (x) - \cos^{2} (x)$
211980	Simplify	2p3q5r	$2 p \cdot 3 q \cdot 5 r$
211981	Solve for y	1/4y-x=0	$\frac{1}{4} y - x = 0$
211982	Simplify	(xy+3x+2)+(3x^2+y)	$(x y + 3 x + 2) + (3 x^{2} + y)$
211983	Find the LCM	8 , 3 , 2	$8$ , $3$ , $2$
211984	Find the End Behavior	y=-x^3+6x^2+7x	$y = - x^{3} + 6 x^{2} + 7 x$
211985	Graph	y<3x-5 and y>=3x+1	$y < 3 x - 5$ and $y \geq 3 x + 1$
211986	Determine if a Polynomial	3c^5+7c^-1-c	$3 c^{5} + 7 c^{- 1} - c$
211987	Simplify	(n+2)^5(n+2)^-3	${(n + 2)}^{5} {(n + 2)}^{- 3}$
211988	Divide	( square root of 2)/( cube root of 2)	$\frac{\sqrt{2}}{\sqrt[3]{2}}$
211989	Evaluate	natural log of (1)^2	$\ln ({(1)}^{2})$
211990	Solve the Inequality for u	0>-0.5u	$0 > - 0.5 u$
211991	Simplify	square root of (16m^2)/(p^4q^6)	$\sqrt{\frac{16 m^{2}}{p^{4} q^{6}}}$
211992	Solve for r	535.29=400(1+r)^5	$535.29 = 400 {(1 + r)}^{5}$
211993	Simplify the Radical Expression	square root of 12+ square root of 27- square root of 3	$\sqrt{12} + \sqrt{27} - \sqrt{3}$
211994	Write in Standard Form	(3x^2-2x)+(x^2-7x+11)	$(3 x^{2} - 2 x) + (x^{2} - 7 x + 11)$
211995	Solve for x	14+5x=3(-x+3)-11	$14 + 5 x = 3 (- x + 3) - 11$
211996	Simplify	1+4.25n+32p-3+(-2p)+54n	$1 + 4.25 n + 32 p - 3 + (- 2 p) + 54 n$
211997	Find the Holes in the Graph	f(x)=(x^2-x-2)/((x-2)^2)	$f (x) = \frac{x^{2} - x - 2}{{(x - 2)}^{2}}$
211998	Combine Like Terms	13v-v+15w-4v	$13 v - v + 15 w - 4 v$
211999	Find the Remainder	(6x^4+5x^3-1)/(3x^2+x-2)	$\frac{6 x^{4} + 5 x^{3} - 1}{3 x^{2} + x - 2}$
212000	Solve for r	r=((3V)/(4pi))^(1/3)	$r = {(\frac{3 V}{4 π})}^{\frac{1}{3}}$