Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
225701	Find the Exact Value	cot(-(25pi)/6)	$\cot (- \frac{25 π}{6})$
225702	Factor	4x^2=8x	$4 x^{2} = 8 x$
225703	Simplify	-4x^3+3-3-3x^3+4+4x^3+2y^2	$- 4 x^{3} + 3 - 3 - 3 x^{3} + 4 + 4 x^{3} + 2 y^{2}$
225704	Divide Using Long Polynomial Division	Use the long division method to find the result when 4x^3+11x^2+16x+20 is divided by x+2	Use the long division method to find the result when $4 x^{3} + 11 x^{2} + 16 x + 20$ is divided by $x + 2$
225705	Solve for x	6(1/2)^x-2=22	$6 {(\frac{1}{2})}^{x} - 2 = 22$
225706	Simplify	((x^2y)/2)^-3	${(\frac{x^{2} y}{2})}^{- 3}$
225707	Solve for x	3=54x^(3/2)	$3 = 54 x^{\frac{3}{2}}$
225708	Simplify	(35i^7j^3)/(7i^2j^3)	$\frac{35 i^{7} j^{3}}{7 i^{2} j^{3}}$
225709	Simplify	(4+3 square root of x)(4-3 square root of x)	$(4 + 3 \sqrt{x}) (4 - 3 \sqrt{x})$
225710	Simplify	1/(6x)-1/2	$\frac{1}{6 x} - \frac{1}{2}$
225711	Divide	Divide 3x^3-3x^2-4x+3 by x+3	Divide $3 x^{3} - 3 x^{2} - 4 x + 3$ by $x + 3$
225712	Simplify	Simplify (-5z)^3	Simplify ${(- 5 z)}^{3}$
225713	Solve the Inequality for x	3x+2>-2(x-1)	$3 x + 2 > - 2 (x - 1)$
225714	Simplify	(3x-6)/(4-9x^2)-1/(3x-2)+1/(3x+2)	$\frac{3 x - 6}{4 - 9 x^{2}} - \frac{1}{3 x - 2} + \frac{1}{3 x + 2}$
225715	Evaluate	225x^-4-34x^-2+1=0	$225 x^{- 4} - 34 x^{- 2} + 1 = 0$
225716	Solve for n	1/3(n+1)+2=1/6(3n-5)	$\frac{1}{3} (n + 1) + 2 = \frac{1}{6} (3 n - 5)$
225717	Simplify	(4+ square root of 6)/(2+ square root of 6)	$\frac{4 + \sqrt{6}}{2 + \sqrt{6}}$
225718	Graph	f(x)=(x+1)(x+3)(x-4)^2(x-2)	$f (x) = (x + 1) (x + 3) {(x - 4)}^{2} (x - 2)$
225719	Simplify the Radical Expression	cube root of 4/(9m^2)	$\sqrt[3]{\frac{4}{9 m^{2}}}$
225720	Simplify	i^3+i^5+i^7+i^9	$i^{3} + i^{5} + i^{7} + i^{9}$
225721	Convert to a Decimal	5rev per s	$5$ revolutions per second
225722	Solve the Inequality for x	x-3/4<1/2	$x - \frac{3}{4} < \frac{1}{2}$
225723	Divide Using Long Polynomial Division	Use the long division method to find the result when 4x^3-3x^2+4x-5 is divided by x-1	Use the long division method to find the result when $4 x^{3} - 3 x^{2} + 4 x - 5$ is divided by $x - 1$
225724	Solve the System of Equations	9x-6y=-12 and 8x-5y=-8	$9 x - 6 y = - 12$ and $8 x - 5 y = - 8$
225725	Find the Product	(2xy)^2(-3x^2)(4y^2)	${(2 x y)}^{2} (- 3 x^{2}) (4 y^{2})$
225726	Multiply	square root of 6* square root of 6* square root of 6	$\sqrt{6} \cdot \sqrt{6} \cdot \sqrt{6}$
225727	Solve the Rational Equation for x	square root of x-10 = square root of x-6	$\sqrt{x} - 10 = \sqrt{x - 6}$
225728	Simplify	(c^-2)/(d^(1/3))	$\frac{c^{- 2}}{d^{\frac{1}{3}}}$
225729	Simplify	(14k^9m^3)/(2(km^3))	$\frac{14 k^{9} m^{3}}{2 {km}^{3}}$
225730	Solve for x	2 log base 3 of x- log base 3 of x-2=2	$2 \log_{3} (x) - \log_{3} (x - 2) = 2$
225731	Simplify	3/(5xy^2)+(4y)/(2x^2y)	$\frac{3}{5 x y^{2}} + \frac{4 y}{2 x^{2} y}$
225732	Divide	((2a^3b^4)^3)/((2ab^2)^5)	$\frac{{(2 a^{3} b^{4})}^{3}}{{(2 a b^{2})}^{5}}$
225733	Simplify	(ab^2)^0	${(a b^{2})}^{0}$
225734	Solve by Graphing	x-5y=5 y=-4/5x-6	$x - 5 y = 5$ $y = - \frac{4}{5} x - 6$
225735	Evaluate	(1-1/x)/2	$\frac{1 - \frac{1}{x}}{2}$
225736	Simplify	1/(6x^2)-x/3	$\frac{1}{6 x^{2}} - \frac{x}{3}$
225737	Solve the Inequality for x	x-10/(x-1)>=4	$x - \frac{10}{x - 1} \geq 4$
225738	Simplify	square root of 3/(5^3)	$\sqrt{\frac{3}{5^{3}}}$
225739	Solve for k	(18+7k)^(1/2)=k	${(18 + 7 k)}^{\frac{1}{2}} = k$
225740	Solve the Inequality for n	32-5n>=7-5(n-5)	$32 - 5 n \geq 7 - 5 (n - 5)$
225741	Simplify	((-x^(1/2)y^(2/3))/(x^(1/3)y^(3/4)))^6	${(\frac{- x^{\frac{1}{2}} y^{\frac{2}{3}}}{x^{\frac{1}{3}} y^{\frac{3}{4}}})}^{6}$
225742	Solve the System of Equations	2x+y=-2 y=x-8	$2 x + y = - 2$ $y = x - 8$
225743	Find f(g(x))	f(x)=3x-3 , g(x)=1/3x+4	$f (x) = 3 x - 3$ , $g (x) = \frac{1}{3} x + 4$
225744	Solve for x	-4=x^2+4x	$- 4 = x^{2} + 4 x$
225745	Simplify	((3x^2-11x+6)/(x^2-9))÷((3x^2+x-2)/(3x^2+9x))	$\frac{3 x^{2} - 11 x + 6}{x^{2} - 9} \div \frac{3 x^{2} + x - 2}{3 x^{2} + 9 x}$
225746	Find All Complex Solutions	2/(3x+1)=1/x-(6x)/(3x+1)	$\frac{2}{3 x + 1} = \frac{1}{x} - \frac{6 x}{3 x + 1}$
225747	Solve the System of Inequalities	2x+1<=-6 or 2x+1>=6	$2 x + 1 \leq - 6$ or $2 x + 1 \geq 6$
225748	Rationalize the Denominator	24/(8+4 square root of 6)	$\frac{24}{8 + 4 \sqrt{6}}$
225749	Graph	y=2x if x<=-3; -2x if x>-3	$y = {\begin{cases} 2 x & x \leq - 3 \\ - 2 x & x > - 3 \end{cases}$
225750	Solve for x	0=-2(x-(3x+1))	$0 = - 2 (x - (3 x + 1))$
225751	Find the Equation of the Circle	(0,5) , r=1/2	$(0, 5)$ , $r = \frac{1}{2}$
225752	Find the Distance Between Two Points	(-3,1) and (7,-3)	$(- 3, 1)$ and $(7, - 3)$
225753	Simplify	(11x+2x^2)+(-7x-3x^2+4)	$(11 x + 2 x^{2}) + (- 7 x - 3 x^{2} + 4)$
225754	Evaluate	v^2=25/81	$v^{2} = \frac{25}{81}$
225755	Solve the Rational Equation for x	8- fourth root of x=7	$8 - \sqrt[4]{x} = 7$
225756	Simplify	fifth root of cube root of 8c^2	$\sqrt[5]{\sqrt[3]{8 c^{2}}}$
225757	Graph	y>=x+2 2x+3y<=6	$y \geq x + 2$ $2 x + 3 y \leq 6$
225758	Find the x and y Intercepts	f(x)=1/2( cube root of 24-8x)+1	$f (x) = \frac{1}{2} (\sqrt[3]{24 - 8 x}) + 1$
225759	Graph	f(x)=1/2( cube root of 24-8x)+1	$f (x) = \frac{1}{2} (\sqrt[3]{24 - 8 x}) + 1$
225760	Divide	(3n^2+ square root of 2n^2)/( square root of 10n)	$\frac{3 n^{2} + \sqrt{2 n^{2}}}{\sqrt{10 n}}$
225761	Find the Remainder	(2x^3-x^2+5x+3)÷(2x+1)	$(2 x^{3} - x^{2} + 5 x + 3) \div (2 x + 1)$
225762	Find the x and y Intercepts	f(x)=1/2x^(3/2)	$f (x) = \frac{1}{2} x^{\frac{3}{2}}$
225763	Solve the Inequality for y	y/4<=1.6	$\frac{y}{4} \leq 1.6$
225764	Evaluate	sin(60)^2	$\sin^{2} (60)$
225765	Evaluate	7-8÷4(3^2-1)	$7 - 8 \div 4 (3^{2} - 1)$
225766	Find the End Behavior	f(x)=3/2(x-2)	$f (x) = \frac{3}{2} (x - 2)$
225767	Subtract	(-7x^2-4)+(-7x^2-6x-2)	$(- 7 x^{2} - 4) + (- 7 x^{2} - 6 x - 2)$
225768	Simplify	tan(x)^3csc(x)^2-tan(x)^3	$\tan^{3} (x) \csc^{2} (x) - \tan^{3} (x)$
225769	Solve for x	9x+8=2-9-12x	$9 x + 8 = 2 - 9 - 12 x$
225770	Evaluate	(3/5x+3/4)-(1/3x-1/8)	$(\frac{3}{5} x + \frac{3}{4}) - (\frac{1}{3} x - \frac{1}{8})$
225771	Simplify	((x^3)/5)÷(2/(5x^2))	$\frac{x^{3}}{5} \div \frac{2}{5 x^{2}}$
225772	Solve the Inequality for x	4(3x-6)+16<-32	$4 (3 x - 6) + 16 < - 32$
225773	Solve by Addition/Elimination	y=3x+4 y=x-2	$y = 3 x + 4$ $y = x - 2$
225774	Solve the System of Equations	3x-2y-1=0 y=5x+4	$3 x - 2 y - 1 = 0$ $y = 5 x + 4$
225775	Simplify the Radical Expression	5/(2 square root of 5)	$\frac{5}{2 \sqrt{5}}$
225776	Solve by Graphing	x+y=-5 y=5x+1	$x + y = - 5$ $y = 5 x + 1$
225777	Solve for a	-4/7(-56a+21)=-8a+5	$- \frac{4}{7} (- 56 a + 21) = - 8 a + 5$
225778	Solve for c	-70=-2-c^3	$- 70 = - 2 - c^{3}$
225779	Simplify	(5x)/(12y^3)+(x+2y)/(12y^3)	$\frac{5 x}{12 y^{3}} + \frac{x + 2 y}{12 y^{3}}$
225780	Evaluate	x(x-3)=54	$x (x - 3) = 54$
225781	Solve for C	2C-5=8C+7	$2 C - 5 = 8 C + 7$
225782	Solve for x	3x/2+3\|x-2\|<=3	$3 \frac{x}{2} + 3 \| x - 2 \| \leq 3$
225783	Evaluate	((3^2)^3*3^6)/(3^4)	$\frac{{(3^{2})}^{3} \cdot 3^{6}}{3^{4}}$
225784	Simplify	3^5*2^-6	$3^{5} \cdot 2^{- 6}$
225785	Solve the Absolute Value Inequality for x	\|x/7\|-8=-7	$\| \frac{x}{7} \| - 8 = - 7$
225786	Simplify	(5x^3-x+2x^2+4)+(3x^2+1-4x)	$(5 x^{3} - x + 2 x^{2} + 4) + (3 x^{2} + 1 - 4 x)$
225787	Simplify	5 square root of 2x*3 square root of 7x^2y^3	$5 \sqrt{2 x} \cdot 3 \sqrt{7 x^{2} y^{3}}$
225788	Solve for x	(1/9)^(2x+7)<=27^(6x-12)	${(\frac{1}{9})}^{2 x + 7} \leq 27^{6 x - 12}$
225789	Solve for x	x^2+0=0	$x^{2} + 0 = 0$
225790	Factor	(x-y)^2+4(x-y)+3	${(x - y)}^{2} + 4 (x - y) + 3$
225791	Graph	y=-1/2 square root of 6-x	$y = - \frac{1}{2} \sqrt{6 - x}$
225792	Write in Standard Form	(x-1)^2=6-(y+4)^2	${(x - 1)}^{2} = 6 - {(y + 4)}^{2}$
225793	Simplify	1/(a^2)*1/(a^3)	$\frac{1}{a^{2}} \cdot \frac{1}{a^{3}}$
225794	Factor	2i^3+6i^2-5i-15	$2 i^{3} + 6 i^{2} - 5 i - 15$
225795	Factor	k(x)=x^4-x^3-13x^2+25x-12	$k (x) = x^{4} - x^{3} - 13 x^{2} + 25 x - 12$
225796	Solve for x	\|3x\|<=12	$\| 3 x \| \leq 12$
225797	Evaluate the Function	f(-1)=(x+3)/2	$f (- 1) = \frac{x + 3}{2}$
225798	Solve by Factoring	-4x^5+14x^4+16x^3-56x^2=0	$- 4 x^{5} + 14 x^{4} + 16 x^{3} - 56 x^{2} = 0$
225799	Simplify	6(1/3)^x	$6 {(\frac{1}{3})}^{x}$
225800	Simplify the Radical Expression	2 fourth root of x^7	$2 \sqrt[4]{x^{7}}$