Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
215801	Solve for y	-2y+5+y^2=-6y+2y^2	$- 2 y + 5 + y^{2} = - 6 y + 2 y^{2}$
215802	Divide	( cube root of 3)/( square root of 3)	$\frac{\sqrt[3]{3}}{\sqrt{3}}$
215803	Solve the Inequality for y	-3x+6y<=30	$- 3 x + 6 y \leq 30$
215804	Write as a Single Logarithm	log of 4- log of z+4 log of y	$\log (4) - \log (z) + 4 \log (y)$
215805	Solve the Inequality for x	(x-3)/2-1/6<=(x-5)/3	$\frac{x - 3}{2} - \frac{1}{6} \leq \frac{x - 5}{3}$
215806	Solve for u	8u+8=-40u-7	$8 u + 8 = - 40 u - 7$
215807	Solve for y	4-4y-y^2=0	$4 - 4 y - y^{2} = 0$
215808	Solve for θ	sin(2theta)=sin(theta)	$\sin (2 θ) = \sin (θ)$
215809	Graph	x+y<=2 and y<=-2	$x + y \leq 2$ and $y \leq - 2$
215810	Find the Roots (Zeros)	(x+5)(x-5)=-9	$(x + 5) (x - 5) = - 9$
215811	Evaluate	7(5)^(5/3)+49(5)^(2/3)	$7 {(5)}^{\frac{5}{3}} + 49 {(5)}^{\frac{2}{3}}$
215812	Solve for n	-19=-3-n^2	$- 19 = - 3 - n^{2}$
215813	Simplify the Radical Expression	square root of 49/(y^2)	$\sqrt{\frac{49}{y^{2}}}$
215814	Evaluate	2 square root of 5x-4-3=-11	$2 \sqrt{5 x - 4} - 3 = - 11$
215815	Convert to a Decimal	24deg	$24$ degrees
215816	Graph	b/3+1>0	$\frac{b}{3} + 1 > 0$
215817	Factor	-48a^2b^2-56a^3b-56a^5b	$- 48 a^{2} b^{2} - 56 a^{3} b - 56 a^{5} b$
215818	Simplify	(a-(b-c))-((a-b)-c)	$(a - (b - c)) - ((a - b) - c)$
215819	Solve for x	-2+9/(2x)=5/2	$- 2 + \frac{9}{2 x} = \frac{5}{2}$
215820	Solve the Rational Equation for x	square root of x+15=5+ square root of x	$\sqrt{x + 15} = 5 + \sqrt{x}$
215821	Simplify	15 root of x^10y^15	$\sqrt[15]{x^{10} y^{15}}$
215822	Find the Holes in the Graph	(3x^2-12x)/(x^2-2x-3)	$\frac{3 x^{2} - 12 x}{x^{2} - 2 x - 3}$
215823	Determine if Linear	2x^3=y-11	$2 x^{3} = y - 11$
215824	Solve the System of Equations	x+3y+2z=2 -2x-2y=-12 -x-2y-z=-4	$x + 3 y + 2 z = 2$ $- 2 x - 2 y = - 12$ $- x - 2 y - z = - 4$
215825	Simplify	13+(-2x)/9+12	$13 + \frac{- 2 x}{9} + 12$
215826	Simplify	(x^4y^3)^2*(x^3y^5)^3	${(x^{4} y^{3})}^{2} \cdot {(x^{3} y^{5})}^{3}$
215827	Simplify	(14xy^5(2x-3y))/(21x^2y(2x-3y)^2)	$\frac{14 x y^{5} (2 x - 3 y)}{21 x^{2} y {(2 x - 3 y)}^{2}}$
215828	Simplify	2q square root of 700q^4-q square root of 175q^4	$2 q \sqrt{700 q^{4}} - q \sqrt{175 q^{4}}$
215829	Simplify	(12a^-5)/(36b^3)	$\frac{12 a^{- 5}}{36 b^{3}}$
215830	Graph Using a Table of Values	y=(3)^x	$y = {(3)}^{x}$
215831	Convert to Radical Form	2b^(1/2)(3b^(1/2)c^(1/3))^2	$2 b^{\frac{1}{2}} {(3 b^{\frac{1}{2}} c^{\frac{1}{3}})}^{2}$
215832	Find the LCD	5/(2(x+1)) , 9/(2x) , 1/4	$\frac{5}{2 (x + 1)}$ , $\frac{9}{2 x}$ , $\frac{1}{4}$
215833	Evaluate	sin((-pi)/2)	$\sin (\frac{- π}{2})$
215834	Solve the System of Equations	x-2y+2z=9 y+2z=5 z=3	$x - 2 y + 2 z = 9$ $y + 2 z = 5$ $z = 3$
215835	Find the GCF	64 and 144	$64$ and $144$
215836	Solve the System of Equations	-2x+2y=10 and -9x+8y=46	$- 2 x + 2 y = 10$ and $- 9 x + 8 y = 46$
215837	Simplify	csc(x)^2(1-sec(x)^2)	$\csc^{2} (x) (1 - \sec^{2} (x))$
215838	Simplify	5/(3i-1)	$\frac{5}{3 i - 1}$
215839	Graph	-3x>4y	$- 3 x > 4 y$
215840	Solve for c	(c-2)(c+8)=7	$(c - 2) (c + 8) = 7$
215841	Multiply	x(3x^2-4x-4)	$x (3 x^{2} - 4 x - 4)$
215842	Solve for w	u-5=-4(w-1)	$u - 5 = - 4 (w - 1)$
215843	Simplify	(22233)/(2223333)	$\frac{2 \cdot 2 \cdot 2 \cdot 3 \cdot 3}{2 \cdot 2 \cdot 2 \cdot 3 \cdot 3 \cdot 3 \cdot 3}$
215844	Solve for n	-6+7*10^(2n-5)=78	$- 6 + 7 \cdot 10^{2 n - 5} = 78$
215845	Evaluate	f^-3(f^2)(f^-3)	$f^{- 3} (f^{2}) (f^{- 3})$
215846	Solve by Substitution	4x=2y+6 y=2x-3	$4 x = 2 y + 6$ $y = 2 x - 3$
215847	Solve for x	3x+3y=4 and x-3y=1	$3 x + 3 y = 4$ and $x - 3 y = 1$
215848	Simplify	(6j^2k-9jk^2)÷3jk	$(6 j^{2} k - 9 j k^{2}) \div 3 j k$
215849	Graph	y>=(x-2)^2-1	$y \geq {(x - 2)}^{2} - 1$
215850	Solve for x	3x+2>(3x-6)/3	$3 x + 2 > \frac{3 x - 6}{3}$
215851	Write in Slope-Intercept Form	(-4,-6) and (3,8)	$(- 4, - 6)$ and $(3, 8)$
215852	Simplify	(3x+1)(x-1)(x+2)(2x+5)	$(3 x + 1) (x - 1) (x + 2) (2 x + 5)$
215853	Simplify the Radical Expression	7 square root of 2+3 square root of 2+ square root of 2	$7 \sqrt{2} + 3 \sqrt{2} + \sqrt{2}$
215854	Simplify	(x^3+2x^2-x+4)-(x^3-3x^2+3)	$(x^{3} + 2 x^{2} - x + 4) - (x^{3} - 3 x^{2} + 3)$
215855	Solve for x	9+5 cube root of 2x=29	$9 + 5 \sqrt[3]{2 x} = 29$
215856	Evaluate	75% of 60	$75 %$ of $60$
215857	Evaluate	(9c^3)/(c^-4)	$\frac{9 c^{3}}{c^{- 4}}$
215858	Find the Domain and Range	( square root of x^2-2x+1)/(x-1)	$\frac{\sqrt{x^{2} - 2 x + 1}}{x - 1}$
215859	Evaluate	(2x-1)/6=(4x+1)/12+(2x+2)/(2x+1)	$\frac{2 x - 1}{6} = \frac{4 x + 1}{12} + \frac{2 x + 2}{2 x + 1}$
215860	Evaluate	2(3/4n+8+1/4n-12)	$2 (\frac{3}{4} n + 8 + \frac{1}{4} n - 12)$
215861	Solve by Addition/Elimination	8x=12 2y+10=22	$8 x = 12$ $2 y + 10 = 22$
215862	Simplify	fourth root of 3x^3y^2* fourth root of 27xy^2	$\sqrt[4]{3 x^{3} y^{2}} \times \sqrt[4]{27 x y^{2}}$
215863	Simplify	(2x^3y^3)^3*(-x^2y)^4	${(2 x^{3} y^{3})}^{3} \cdot {(- x^{2} y)}^{4}$
215864	Solve for x	-1/10x^3+100=0	$- \frac{1}{10} x^{3} + 100 = 0$
215865	Write the Fraction in Simplest Form	((2j^3p)^-1)/(10j^6)	$\frac{{(2 j^{3} p)}^{- 1}}{10 j^{6}}$
215866	Find All Complex Solutions	sin(x)+cos(x)=1	$\sin (x) + \cos (x) = 1$
215867	Evaluate the Function	v(3/2)=4/3pir^3	$v (\frac{3}{2}) = \frac{4}{3} π r^{3}$
215868	Solve for x	9/(6x-9)=x/(2x-3)-1/3	$\frac{9}{6 x - 9} = \frac{x}{2 x - 3} - \frac{1}{3}$
215869	Graph	f(x)=(x^2+9x+20)/(4x+20)	$f (x) = \frac{x^{2} + 9 x + 20}{4 x + 20}$
215870	Determine if a Polynomial	5p^2+9p^3+ square root of p	$5 p^{2} + 9 p^{3} + \sqrt{p}$
215871	Solve the Inequality for x	x/2+1<=3x+2	$\frac{x}{2} + 1 \leq 3 x + 2$
215872	Solve the System of Equations	x^2+4y^2=36 x+2y=6	$x^{2} + 4 y^{2} = 36$ $x + 2 y = 6$
215873	Divide	(x^3+x^2+3x-4)÷(x^2+2x+1)	$(x^{3} + x^{2} + 3 x - 4) \div (x^{2} + 2 x + 1)$
215874	Multiply	6 square root of 4*2 square root of 5	$6 \sqrt{4} \cdot 2 \sqrt{5}$
215875	Solve the Inequality for x	-4<=4(2-x)+2x<10	$- 4 \leq 4 (2 - x) + 2 x < 10$
215876	Solve for y	2x+2y=6y	$2 x + 2 y = 6 y$
215877	Find the Roots (Zeros)	h(x)=5x^4+7x^8-x^12	$h (x) = 5 x^{4} + 7 x^{8} - x^{12}$
215878	Multiply	(x^2+8x+15)/(-5x-5)*(x^2+2x+1)/(2x+10)	$\frac{x^{2} + 8 x + 15}{- 5 x - 5} \cdot \frac{x^{2} + 2 x + 1}{2 x + 10}$
215879	Evaluate	2+5*4-8÷(4/5)	$2 + 5 \cdot 4 - 8 \div \frac{4}{5}$
215880	Evaluate Using the Given Value	y^2-x ; use x=7 ; and y=7	$y^{2} - x$ ; use $x = 7$ ; and $y = 7$
215881	Solve for m	30=20+50*10^(-0.04m)	$30 = 20 + 50 \cdot 10^{- 0.04 m}$
215882	Find All Complex Solutions	1/x+1/(x-3)=(x-2)/(x-3)	$\frac{1}{x} + \frac{1}{x - 3} = \frac{x - 2}{x - 3}$
215883	Graph	1/2\|x-3\|+4<6	$\frac{1}{2} \| x - 3 \| + 4 < 6$
215884	Simplify	(x^(2/3)-x^(1/3))(x^(2/3)+x^(1/3))	$(x^{\frac{2}{3}} - x^{\frac{1}{3}}) (x^{\frac{2}{3}} + x^{\frac{1}{3}})$
215885	Simplify	20a+18b-(-5a)-(-25b)	$20 a + 18 b - (- 5 a) - (- 25 b)$
215886	Find the Roots (Zeros)	r(x)=8/3x-16	$r (x) = \frac{8}{3} x - 16$
215887	Simplify	-6/7*(3x-10)/(3x-5)	$- \frac{6}{7} \cdot \frac{3 x - 10}{3 x - 5}$
215888	Find the Degree	f(x)=3(x+2)	$f (x) = 3 (x + 2)$
215889	Solve the Inequality for x	(x+8)^2(x+5)(x+7)^2>=0	${(x + 8)}^{2} (x + 5) {(x + 7)}^{2} \geq 0$
215890	Solve the System of Inequalities	y<=-2x-2 y>1/2x+8	$y \leq - 2 x - 2$ $y > \frac{1}{2} x + 8$
215891	Simplify	(2x)/(x^2-36)+(x+4)/(x+6)	$\frac{2 x}{x^{2} - 36} + \frac{x + 4}{x + 6}$
215892	Solve for x	(7x+6)/2<=3x+2	$\frac{7 x + 6}{2} \leq 3 x + 2$
215893	Simplify	2 square root of 3-3 square root of 5+4 square root of 2- square root of 2	$2 \sqrt{3} - 3 \sqrt{5} + 4 \sqrt{2} - \sqrt{2}$
215894	Determine if a Polynomial	(2r^3)/s+t^5	$\frac{2 r^{3}}{s} + t^{5}$
215895	Simplify	(y+4y^2-3)-(1+2y^2-5y-y^3)	$(y + 4 y^{2} - 3) - (1 + 2 y^{2} - 5 y - y^{3})$
215896	Solve the Inequality for m	11(m+2)<=2m-(3m+8)	$11 (m + 2) \leq 2 m - (3 m + 8)$
215897	Find the Domain and Range	f(x)=cot(x)+7	$f (x) = \cot (x) + 7$
215898	Solve for a	4a+a-11=24	$4 a + a - 11 = 24$
215899	Solve for a	2a+4(a-1)=3-(2a+1)	$2 a + 4 (a - 1) = 3 - (2 a + 1)$
215900	Simplify the Radical Expression	fourth root of x^6y^3+ fourth root of x^10y^3	$\sqrt[4]{x^{6} y^{3}} + \sqrt[4]{x^{10} y^{3}}$