Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
216901	Evaluate	x^2=1	$x^{2} = 1$
216902	Simplify	sixth root of r^11 fifth root of r^8	$\sqrt[6]{r^{11}} \sqrt[5]{r^{8}}$
216903	Graph	y=2 log base 2 of -x+8-3	$y = 2 \log_{2} (- x + 8) - 3$
216904	Simplify the Radical Expression	7/(2+ square root of 3)	$\frac{7}{2 + \sqrt{3}}$
216905	Solve by Substitution	2x=12 and x-5y=-29	$2 x = 12$ and $x - 5 y = - 29$
216906	Subtract	x^2-2x-6-6x+5	$x^{2} - 2 x - 6 - 6 x + 5$
216907	Solve for X	6X-9=12	$6 X - 9 = 12$
216908	Evaluate	24/(4^(3/2))	$\frac{24}{4^{\frac{3}{2}}}$
216909	Expand the Logarithmic Expression	log of ( square root of x^2y^3)/z	$\log (\frac{\sqrt{x^{2} y^{3}}}{z})$
216910	Solve the Absolute Value Inequality for x	(2\|x-1\|)/5>=2	$\frac{2 \| x - 1 \|}{5} \geq 2$
216911	Solve the Inequality for x	-x^2+28>3x+10	$- x^{2} + 28 > 3 x + 10$
216912	Simplify	(x^4)(x^(k-4))	$(x^{4}) (x^{k - 4})$
216913	Simplify	(25^(5/9)*25^(7/9))/(5^(4/3))	$\frac{25^{\frac{5}{9}} \cdot 25^{\frac{7}{9}}}{5^{\frac{4}{3}}}$
216914	Simplify	3(500)^-2	$3 {(500)}^{- 2}$
216915	Graph	-3(1/2)^x-4	$- 3 {(\frac{1}{2})}^{x} - 4$
216916	Simplify	(ha^(1/5)w^(3/8))/(h^-2a^(1/5)w^(4/8))	$\frac{h a^{\frac{1}{5}} w^{\frac{3}{8}}}{h^{- 2} a^{\frac{1}{5}} w^{\frac{4}{8}}}$
216917	Solve for d	9(d-25)=920	$9 (d - 25) = 920$
216918	Simplify	(36m^4y^4-18m^3y^2)/(6m^2y)	$\frac{36 m^{4} y^{4} - 18 m^{3} y^{2}}{6 m^{2} y}$
216919	Solve for x	(1/8)^(-3x)=512^(3x)	${(\frac{1}{8})}^{- 3 x} = 512^{3 x}$
216920	Simplify	f+f-5f	$f + f - 5 f$
216921	Evaluate	(((3xy^-5)^3)/((x^-2y^2)^-4))^-2	${(\frac{{(3 x y^{- 5})}^{3}}{{(x^{- 2} y^{2})}^{- 4}})}^{- 2}$
216922	Graph	f(x)=2x^3-4x^2+x+1	$f (x) = 2 x^{3} - 4 x^{2} + x + 1$
216923	Solve the Inequality for x	x÷4>x-12	$x \div 4 > x - 12$
216924	Write the Fraction in Simplest Form	((3d^-2)^-4)/(3d^10q)	$\frac{{(3 d^{- 2})}^{- 4}}{3 d^{10} q}$
216925	Solve the Inequality for x	-4/5x-3<=17	$- \frac{4}{5} x - 3 \leq 17$
216926	Simplify	(1+ square root of 5)/(1- square root of 5)	$\frac{1 + \sqrt{5}}{1 - \sqrt{5}}$
216927	Simplify	(16x^9y^5-4x^9y^5)/(2x^3y^5)+3x*7x^5	$\frac{16 x^{9} y^{5} - 4 x^{9} y^{5}}{2 x^{3} y^{5}} + 3 x \cdot 7 x^{5}$
216928	Write the Fraction in Simplest Form	(12m^2)/((4m)^-4)	$\frac{12 m^{2}}{{(4 m)}^{- 4}}$
216929	Factor	(3n+1)(4n+1)+(n+2)(4n+1)	$(3 n + 1) (4 n + 1) + (n + 2) (4 n + 1)$
216930	Solve for m	log base 4 of 2m^3-14m^2- log base 4 of 2m = log base 4 of 8	$\log_{4} (2 m^{3} - 14 m^{2}) - \log_{4} (2 m) = \log_{4} (8)$
216931	Simplify	3p^2q+8p^3-2p^2q+2p+5p^3	$3 p^{2} q + 8 p^{3} - 2 p^{2} q + 2 p + 5 p^{3}$
216932	Solve for k	-15k=9(-k+14)	$- 15 k = 9 (- k + 14)$
216933	Write in Exponential Form	square root of x* fourth root of x	$\sqrt{x} \cdot \sqrt[4]{x}$
216934	Graph	-5<x-4<=1	$- 5 < x - 4 \leq 1$
216935	Graph	-4/(x^2-3x)	$- \frac{4}{x^{2} - 3 x}$
216936	Graph	-2(x-1)>y/2+4 (x-1)/3<=(x-4)/6	$- 2 (x - 1) > \frac{y}{2} + 4$ $\frac{x - 1}{3} \leq \frac{x - 4}{6}$
216937	Solve by Substitution	2x-2y=2 y=x-1	$2 x - 2 y = 2$ $y = x - 1$
216938	Simplify the Radical Expression	square root of 8x* square root of 4x* square root of 3x	$\sqrt{8 x} \cdot \sqrt{4 x} \cdot \sqrt{3 x}$
216939	Simplify the Radical Expression	square root of 64m^3n^3	$\sqrt{64 m^{3}} n^{3}$
216940	Graph	y<2x 2x+y<-5	$y < 2 x$ $2 x + y < - 5$
216941	Simplify	(-30x^3y+12x^2y^2-18x^2y)÷(-6x^2y)	$(- 30 x^{3} y + 12 x^{2} y^{2} - 18 x^{2} y) \div (- 6 x^{2} y)$
216942	Simplify the Radical Expression	cube root of x* square root of x	$\sqrt[3]{x} \cdot \sqrt{x}$
216943	Simplify	(x^2)^3(y^2)^4(x^3)^7	${(x^{2})}^{3} {(y^{2})}^{4} {(x^{3})}^{7}$
216944	Simplify	3 3/5*(-8 1/3)	$3 \frac{3}{5} \cdot (- 8 \frac{1}{3})$
216945	Solve the System of Equations	y=5 y=2x+16	$y = 5$ $y = 2 x + 16$
216946	Evaluate Using the Given Value	ab+a^2 if a=937 and b=63	$a b + a^{2}$ if $a = 937$ and $b = 63$
216947	Solve for x	2x+4-3/2x=1/3(x+5)	$2 x + 4 - \frac{3}{2} x = \frac{1}{3} (x + 5)$
216948	Simplify	((x^2y^-3)^2)/((x^-1y^4)^-3)	$\frac{{(x^{2} y^{- 3})}^{2}}{{(x^{- 1} y^{4})}^{- 3}}$
216949	Simplify the Radical Expression	( square root of 15)/( square root of 12)	$\frac{\sqrt{15}}{\sqrt{12}}$
216950	Simplify	square root of (4r^10)/(s^6)	$\sqrt{\frac{4 r^{10}}{s^{6}}}$
216951	Simplify	0/( square root of 1-0^2)	$\frac{0}{\sqrt{1 - 0^{2}}}$
216952	Solve for x	x-6 = square root of 3	$x - 6 = \sqrt{3}$
216953	Subtract	3/(x^2-4)-(x+5)/(x+2)	$\frac{3}{x^{2} - 4} - \frac{x + 5}{x + 2}$
216954	Simplify	6a+8b+5(3a+b+4c)-(2a+3b)	$6 a + 8 b + 5 (3 a + b + 4 c) - (2 a + 3 b)$
216955	Solve for x	(5^(x/6))(5^((2x)/3))=5^4	$(5^{\frac{x}{6}}) (5^{\frac{2 x}{3}}) = 5^{4}$
216956	Solve the System of Equations	-3x-6y+4z=-8 -3x-y+2z=10 3x+4y-3z=1	$- 3 x - 6 y + 4 z = - 8$ $- 3 x - y + 2 z = 10$ $3 x + 4 y - 3 z = 1$
216957	Simplify	(-3a^2c)(-3b^2c)	$(- 3 a^{2} c) (- 3 b^{2} c)$
216958	Write in Exponential Form	fourth root of x^5* fifth root of x^2	$\sqrt[4]{x^{5}} \cdot \sqrt[5]{x^{2}}$
216959	Graph	y=cos(x/3+pi/2)	$y = \cos (\frac{x}{3} + \frac{π}{2})$
216960	Solve the Inequality for x	2<-1/2-(-2x-3)	$2 < - \frac{1}{2} - (- 2 x - 3)$
216961	Simplify	((5x^3)/3)÷(7/(4x))	$\frac{5 x^{3}}{3} \div \frac{7}{4 x}$
216962	Find the Complex Conjugate	x square root of 5+2	$x \sqrt{5 + 2}$
216963	Solve for x	0.6(10x+25)=10+5x	$0.6 (10 x + 25) = 10 + 5 x$
216964	Simplify	square root of 3k( square root of 12k-2 square root of 15k^2)	$\sqrt{3 k} (\sqrt{12 k} - 2 \sqrt{15 k^{2}})$
216965	Simplify	5/( square root of 5-x)	$\frac{5}{\sqrt{5 - x}}$
216966	Factor	(x-y)^2-3(x-y)	${(x - y)}^{2} - 3 (x - y)$
216967	Solve Using the Quadratic Formula	x^2+x-9=x	$x^{2} + x - 9 = x$
216968	Describe the Transformation	y=- square root of -x	$y = - \sqrt{- x}$
216969	Find the Domain and Range	y=0.5(3^x-3)	$y = 0.5 (3^{x} - 3)$
216970	Simplify	(xy)^-3(-x^7y^2)(30x^2)	${(x y)}^{- 3} (- x^{7} y^{2}) (30 x^{2})$
216971	Simplify	(x^2-2x-24)÷(-x+6)	$(x^{2} - 2 x - 24) \div (- x + 6)$
216972	Solve for x	4x+2(x-4)=4(x-2)+x	$4 x + 2 (x - 4) = 4 (x - 2) + x$
216973	Write in Standard Form	5(x-y)=3x+2y	$5 (x - y) = 3 x + 2 y$
216974	Divide	( square root of 3)/21/2	$\frac{\sqrt{3}}{2} \cdot \frac{1}{2}$
216975	Multiply	(6x-12)/(4x^2)*(3x^3)/(2x-4)	$\frac{6 x - 12}{4 x^{2}} \cdot \frac{3 x^{3}}{2 x - 4}$
216976	Solve Using the Quadratic Formula	5x^2=-80+40x	$5 x^{2} = - 80 + 40 x$
216977	Solve for R	3/(5+R)+R/(R+2)=(R+4)/(R+5)	$\frac{3}{5 + R} + \frac{R}{R + 2} = \frac{R + 4}{R + 5}$
216978	Simplify	-3xy^2(2x^2y^3+7xy^2-5x^3y^2)	$- 3 x y^{2} (2 x^{2} y^{3} + 7 x y^{2} - 5 x^{3} y^{2})$
216979	Factor	m^4n^3+24m^2n^3+144n^3	$m^{4} n^{3} + 24 m^{2} n^{3} + 144 n^{3}$
216980	Solve the Inequality for j	3/4j-10>=5	$\frac{3}{4} j - 10 \geq 5$
216981	Graph	find x	find $x$
216982	Simplify	((4mn^-3)^2*-2m^3n^2)/(6m^-4n^6)	$\frac{{(4 m n^{- 3})}^{2} \cdot - 2 m^{3} n^{2}}{6 m^{- 4} n^{6}}$
216983	Simplify	14.5d+8.5-1/2d+1/2+2.5d	$14.5 d + 8.5 - \frac{1}{2} d + \frac{1}{2} + 2.5 d$
216984	Simplify	(f^(-1/4))/(4f^(1/2)*f^(-1/3))	$\frac{f^{- \frac{1}{4}}}{4 f^{\frac{1}{2}} \cdot f^{- \frac{1}{3}}}$
216985	Find All Complex Solutions	sin(x)^2+5cos(x/2)^2=2	$\sin^{2} (x) + 5 \cos^{2} (\frac{x}{2}) = 2$
216986	Solve the Inequality for n	8n-10<6-2n	$8 n - 10 < 6 - 2 n$
216987	Find the Domain and Range	x+y^3=12	$x + y^{3} = 12$
216988	Solve by Substitution	y=x+8 and x+y=2	$y = x + 8$ and $x + y = 2$
216989	Solve the System of Inequalities	y>=2/3x+3 y>-4/3x-3	$y \geq \frac{2}{3} x + 3$ $y > - \frac{4}{3} x - 3$
216990	Evaluate	(-3r^3s^5)^2-r^6s^10	${(- 3 r^{3} s^{5})}^{2} - r^{6} s^{10}$
216991	Simplify	square root of 18xy	$\sqrt{18 x y}$
216992	Solve the Inequality for x	3+x/4>=5	$3 + \frac{x}{4} \geq 5$
216993	Evaluate	x^2y^-3	$x^{2} y^{- 3}$
216994	Solve the Inequality for n	(2n)/7<=4	$\frac{2 n}{7} \leq 4$
216995	Write in Slope-Intercept Form	(-2,-8) and (6,4)	$(- 2, - 8)$ and $(6, 4)$
216996	Solve for m	p=(mt)/6	$p = \frac{m t}{6}$
216997	Simplify	(2x)/(x^2+2x-8)(x-2)/(2x)(x^2+9x+20)/(x+5)	$\frac{2 x}{x^{2} + 2 x - 8} \cdot \frac{x - 2}{2 x} \cdot \frac{x^{2} + 9 x + 20}{x + 5}$
216998	Find the Exact Value	sec(pi/4)+7csc(pi/6)	$\sec (\frac{π}{4}) + 7 \csc (\frac{π}{6})$
216999	Graph	x-2y=8 y=-1/2x	$x - 2 y = 8$ $y = - \frac{1}{2} x$
217000	Simplify	(3-a)*2+a	$(3 - a) \cdot 2 + a$