Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
206901	Solve the Inequality for x	2x^2-4x-56>=-10x	$2 x^{2} - 4 x - 56 \geq - 10 x$
206902	Solve the Rational Equation for x	square root of x=-10	$\sqrt{x} = - 10$
206903	Solve for n	2/3n-2/3=n/6+4/3	$\frac{2}{3} n - \frac{2}{3} = \frac{n}{6} + \frac{4}{3}$
206904	Solve for x	x=1+ square root of 3x-5	$x = 1 + \sqrt{3 x - 5}$
206905	Simplify	find the sum of -10x^2-x+6 and 10x^2-5	find the sum of $- 10 x^{2} - x + 6$ and $10 x^{2} - 5$
206906	Solve for k	kx^2+4kx+3=x^2	$k x^{2} + 4 k x + 3 = x^{2}$
206907	Simplify	i^9i^9i^21*i^28	$i^{9} \cdot i^{9} \cdot i^{21} \cdot i^{28}$
206908	Solve for x	1/2x^5=1/5x^2-2	$\frac{1}{2} x^{5} = \frac{1}{5} x^{2} - 2$
206909	Factor	a^6x^2-b^6x^2	$a^{6} x^{2} - b^{6} x^{2}$
206910	Describe the Transformation	y=2(x+8)^3-3	$y = 2 {(x + 8)}^{3} - 3$
206911	Simplify	( square root of 45x^6y)/(3 square root of 15xy^3)	$\frac{\sqrt{45 x^{6} y}}{3 \sqrt{15 x y^{3}}}$
206912	Simplify	i^14i^8i^24*i^12	$i^{14} \cdot i^{8} \cdot i^{24} \cdot i^{12}$
206913	Simplify	Find the sum of 4x^2-4x+10 and 2x^2+5x-8	Find the sum of $4 x^{2} - 4 x + 10$ and $2 x^{2} + 5 x - 8$
206914	Find the Equation Using Slope-Intercept Form	(6,4) ; slope -3/4	$(6, 4)$ ; slope $- \frac{3}{4}$
206915	Simplify	( square root of 3+i)/( square root of 3-i)	$\frac{\sqrt{3} + i}{\sqrt{3} - i}$
206916	Solve the Inequality for x	4.6>x+3/4	$4.6 > x + \frac{3}{4}$
206917	Write in Slope-Intercept Form	y+15=x+6	$y + 15 = x + 6$
206918	Simplify	(25xy^3)/(35x^4y^2)*(14xy)/(10x^2y^3)	$\frac{25 x y^{3}}{35 x^{4} y^{2}} \cdot \frac{14 x y}{10 x^{2} y^{3}}$
206919	Solve for x	1/4 square root of 32x=1	$\frac{1}{4} \sqrt{32 x} = 1$
206920	Find the Equation Using Two Points	f(5)=-1 and f(0)=-5	$f (5) = - 1$ and $f (0) = - 5$
206921	Find the Exact Value	sec(-720 degrees )	$\sec (- 720 °)$
206922	Multiply	fourth root of 7x^6* fourth root of 32x^2	$\sqrt[4]{7 x^{6}} \cdot \sqrt[4]{32 x^{2}}$
206923	Solve the Rational Equation for z	(2z)/(z-2)-5/(z-4)=5	$\frac{2 z}{z - 2} - \frac{5}{z - 4} = 5$
206924	Graph	4x+8y>=-24 , x+2y<12	$4 x + 8 y \geq - 24$ , $x + 2 y < 12$
206925	Graph	2x-(-4y)<-4	$2 x - (- 4 y) < - 4$
206926	Find the Domain and Range	F(x)=1/2	$F (x) = \frac{1}{2}$
206927	Simplify the Radical Expression	(5^(1/2)*5^(-3/2))^(-1/4)	${(5^{\frac{1}{2}} \cdot 5^{- \frac{3}{2}})}^{- \frac{1}{4}}$
206928	Solve the Inequality for r	r/2<=27	$\frac{r}{2} \leq 27$
206929	Simplify	(5a-3c)(5a+3c)-(7c-a)(7c+a)	$(5 a - 3 c) (5 a + 3 c) - (7 c - a) (7 c + a)$
206930	Graph	Graph -9x+6y=18	Graph $- 9 x + 6 y = 18$
206931	Graph Using a Table of Values	y=sin(x)	$y = \sin (x)$
206932	Simplify	5+10-3^2	$5 + 10 - 3^{2}$
206933	Solve for x	2(2+3)+4x=2(2x+2)+6	$2 (2 + 3) + 4 x = 2 (2 x + 2) + 6$
206934	Simplify	(8+4p^3-7p)+(5p^2+3+p)	$(8 + 4 p^{3} - 7 p) + (5 p^{2} + 3 + p)$
206935	Solve for x	x^4-15x^2=-24	$x^{4} - 15 x^{2} = - 24$
206936	Simplify	(ab^(1/4))(a^(3/11)b^(2/4))	$(a b^{\frac{1}{4}}) (a^{\frac{3}{11}} b^{\frac{2}{4}})$
206937	Simplify	(i square root of 1/2)/(i square root of 3/2)	$\frac{i \sqrt{\frac{1}{2}}}{i \sqrt{\frac{3}{2}}}$
206938	Simplify	( fourth root of r^20s^9)/( fourth root of r^3s)	$\frac{\sqrt[4]{r^{20} s^{9}}}{\sqrt[4]{r^{3} s}}$
206939	Solve the Inequality for p	p+18>25	$p + 18 > 25$
206940	Solve by Substitution	y=-3x+5 and 5x-4y=-3	$y = - 3 x + 5$ and $5 x - 4 y = - 3$
206941	Find the Excluded Values	(x^2-1)/(x^2+5x+4)*(x^2)/(x^2-x)	$\frac{x^{2} - 1}{x^{2} + 5 x + 4} \cdot \frac{x^{2}}{x^{2} - x}$
206942	Solve for y	y^4-7y^3-18y^2=0	$y^{4} - 7 y^{3} - 18 y^{2} = 0$
206943	Solve for r	square root of 56-r=r	$\sqrt{56 - r} = r$
206944	Simplify	(-6xy^2)^(1/4)( fourth root of -6xy)^3	${(- 6 x y^{2})}^{\frac{1}{4}} {(\sqrt[4]{- 6 x y})}^{3}$
206945	Write in Standard Form	4x^2-3x-x^2+3x	$4 x^{2} - 3 x - x^{2} + 3 x$
206946	Simplify	7z*(2x-y)+2x-y	$7 z \cdot (2 x - y) + 2 x - y$
206947	Determine if True	tan(theta)=(sin(theta))/(cos(theta))	$\tan (θ) = \frac{\sin (θ)}{\cos (θ)}$
206948	Simplify the Radical Expression	square root of 9* square root of 4	$\sqrt{9} \cdot \sqrt{4}$
206949	Evaluate	4(1/6)^1	$4 {(\frac{1}{6})}^{1}$
206950	Simplify	Find the sum of -3x^2+5x-8 and -10x^2-x-3	Find the sum of $- 3 x^{2} + 5 x - 8$ and $- 10 x^{2} - x - 3$
206951	Find the Exact Value	csc(30 degrees )tan(45 degrees )	$\csc (30 °) \tan (45 °)$
206952	Simplify the Radical Expression	(16^(1/2))^(3/4)	${(16^{\frac{1}{2}})}^{\frac{3}{4}}$
206953	Solve by Graphing	y=x+2 3x+y=-6	$y = x + 2$ $3 x + y = - 6$
206954	Simplify	sec(theta)^2cos(theta)^2	$\sec^{2} (θ) \cos^{2} (θ)$
206955	Simplify	(m^(-5/8))(m^(3/8))	$(m^{- \frac{5}{8}}) (m^{\frac{3}{8}})$
206956	Solve for x	1=16/(5^x)+(3/5)^x	$1 = \frac{16}{5^{x}} + {(\frac{3}{5})}^{x}$
206957	Evaluate	-3/2(2)^1	$- \frac{3}{2} {(2)}^{1}$
206958	Find the Product	-8mn*(2m-3mp+p^2)	$- 8 m n \cdot (2 m - 3 m p + p^{2})$
206959	Find the LCM	5x^3y and 15x^2y^2	$5 x^{3} y$ and $15 x^{2} y^{2}$
206960	Solve by Graphing	y=-1/3x-3 y=x-7	$y = - \frac{1}{3} x - 3$ $y = x - 7$
206961	Evaluate	mg=7	$mg = 7$
206962	Simplify	(6 square root of 48)/(4 square root of 6)	$\frac{6 \sqrt{48}}{4 \sqrt{6}}$
206963	Simplify	((ab)^-1)/(cd^-2)	$\frac{{(a b)}^{- 1}}{c d^{- 2}}$
206964	Evaluate	8^2-6+(8+20)÷7	$8^{2} - 6 + (8 + 20) \div 7$
206965	Solve for a	a/(a-1)-(a+5)/a=0	$\frac{a}{a - 1} - \frac{a + 5}{a} = 0$
206966	Simplify	5yi^3+xi^4	$5 y i^{3} + x i^{4}$
206967	Solve for x	1/x+2/(3x)=5/(x-2)	$\frac{1}{x} + \frac{2}{3 x} = \frac{5}{x - 2}$
206968	Simplify	(3x^2y^4)^3*2x^2y^2	${(3 x^{2} y^{4})}^{3} \cdot 2 x^{2} y^{2}$
206969	Simplify	2(3-b)+5(b-3)^2	$2 (3 - b) + 5 {(b - 3)}^{2}$
206970	Evaluate	4 log base 2 of 16+5 log base 2 of 1/32+ log base 5 of square root of 5	$4 \log_{2} (16) + 5 \log_{2} (\frac{1}{32}) + \log_{5} (\sqrt{5})$
206971	Simplify	-6n^2*2m^-5	$- 6 n^{2} \cdot 2 m^{- 5}$
206972	Solve for x	0.7(x-10)+0.5=1-0.6(20-2x)-0.5	$0.7 (x - 10) + 0.5 = 1 - 0.6 (20 - 2 x) - 0.5$
206973	Determine if a Polynomial	(w^5)/8-8w	$\frac{w^{5}}{8} - 8 w$
206974	Multiply	(10a^4)/(a^2-9)*(a^2-3a)/(15a^2)	$\frac{10 a^{4}}{a^{2} - 9} \cdot \frac{a^{2} - 3 a}{15 a^{2}}$
206975	Solve for x	(4x)/9-25=-x/4	$\frac{4 x}{9} - 25 = - \frac{x}{4}$
206976	Simplify	(3 cube root of 6x^2)/(3 cube root of 5y)	$\frac{3 \sqrt[3]{6 x^{2}}}{3 \sqrt[3]{5 y}}$
206977	Solve the Rational Equation for x	1/(x-4)-2/(x+5)=(2x-1)/(x^2+x-20)	$\frac{1}{x - 4} - \frac{2}{x + 5} = \frac{2 x - 1}{x^{2} + x - 20}$
206978	Find the Degree, Leading Term, and Leading Coefficient	f(x)=10x^2+2x-9x^3	$f (x) = 10 x^{2} + 2 x - 9 x^{3}$
206979	Solve for x	8^(-x/3)=4	$8^{- \frac{x}{3}} = 4$
206980	Solve for y	limit as x approaches 1 of (2x+y)/(x+1)=5	$lim_{x \to 1} \frac{2 x + y}{x + 1} = 5$
206981	Solve for x	\|2x+5\|=\|-2x+1\|	$\| 2 x + 5 \| = \| - 2 x + 1 \|$
206982	Simplify	Find the sum of 4x^2-7 and 6x^2-5	Find the sum of $4 x^{2} - 7$ and $6 x^{2} - 5$
206983	Solve for c	square root of 5c+1-10=-6	$\sqrt{5 c + 1} - 10 = - 6$
206984	Simplify	i^40i^13i^37	$i^{40} \cdot i^{13} \cdot i^{37}$
206985	Multiply	(x^2-1)*(1/(x-1)-1/(x+1)+1)	$(x^{2} - 1) \cdot (\frac{1}{x - 1} - \frac{1}{x + 1} + 1)$
206986	Simplify	((36a^5)/(4a^4b^5))^-2	${(\frac{36 a^{5}}{4 a^{4} b^{5}})}^{- 2}$
206987	Simplify	(x^2-36)/(42x-7x^2)	$\frac{x^{2} - 36}{42 x - 7 x^{2}}$
206988	Simplify	3/(x+7)-(x-8)/(x^2+9x+14)	$\frac{3}{x + 7} - \frac{x - 8}{x^{2} + 9 x + 14}$
206989	Solve for x	x^4=16i	$x^{4} = 16 i$
206990	Simplify	cube root of 3x^3y^2* cube root of 9xy^2	$\sqrt[3]{3 x^{3} y^{2}} \cdot \sqrt[3]{9 x y^{2}}$
206991	Solve the Inequality for z	square root of z+5+4<=13	$\sqrt{z + 5} + 4 \leq 13$
206992	Write the Fraction in Simplest Form	(-6y^4)/((-2y^-5)^5)	$\frac{- 6 y^{4}}{{(- 2 y^{- 5})}^{5}}$
206993	Graph	-8y^2+2=x	$- 8 y^{2} + 2 = x$
206994	Graph	y=x+8 2x+y=-4	$y = x + 8$ $2 x + y = - 4$
206995	Simplify	i^9i^10i^19*i^24	$i^{9} \cdot i^{10} \cdot i^{19} \cdot i^{24}$
206996	Graph	m=3 and (0,-6)	$m = 3$ and $(0, - 6)$
206997	Evaluate	(x-2)^(1/2)-(28-2x)^(1/4)=0	${(x - 2)}^{\frac{1}{2}} - {(28 - 2 x)}^{\frac{1}{4}} = 0$
206998	Write in Standard Form	1/2x^2+3x-4x^3+6x^4-1	$\frac{1}{2} x^{2} + 3 x - 4 x^{3} + 6 x^{4} - 1$
206999	Solve for x	(x+5)/(x+6)+1/(x-6)=(2x)/(x^2-36)	$\frac{x + 5}{x + 6} + \frac{1}{x - 6} = \frac{2 x}{x^{2} - 36}$
207000	Simplify	(x-2y)/(xy^2)-(2y-x)/(x^2y)	$\frac{x - 2 y}{x y^{2}} - \frac{2 y - x}{x^{2} y}$