Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
230701	Simplify	square root of 8( square root of 6- square root of 12)	$\sqrt{8} (\sqrt{6} - \sqrt{12})$
230702	Solve the Inequality for x	2x+3<x+x-1	$2 x + 3 < x + x - 1$
230703	Solve the Absolute Value Inequality for z	3\|z+7\|=12	$3 \| z + 7 \| = 12$
230704	Solve for x	27/24=(3x-21)/(x+13)	$\frac{27}{24} = \frac{3 x - 21}{x + 13}$
230705	Solve for x	3/2 cube root of 5x+9=6	$\frac{3}{2} \sqrt[3]{5 x + 9} = 6$
230706	Divide Using Synthetic Division	Use synthetic division to find the result when x^4+6x^3-21x^2-15x-9 is divided by x-3	Use synthetic division to find the result when $x^{4} + 6 x^{3} - 21 x^{2} - 15 x - 9$ is divided by $x - 3$
230707	Evaluate	tan(x)^2-sin(x)^2	$\tan^{2} (x) - \sin^{2} (x)$
230708	Divide Using Long Polynomial Division	(18a^3+30a^2)/(3a)	$\frac{18 a^{3} + 30 a^{2}}{3 a}$
230709	Find the Inverse	f(x)=((x^5-8)^(1/7))/7	$f (x) = \frac{{(x^{5} - 8)}^{\frac{1}{7}}}{7}$
230710	Solve for a	a^(-1/2)=3	$a^{- \frac{1}{2}} = 3$
230711	Evaluate	15*18+12÷3+9	$15 \cdot 18 + 12 \div 3 + 9$
230712	Simplify	(2x square root of x^2+1)^2	${(2 x \sqrt{x^{2} + 1})}^{2}$
230713	Divide Using Long Polynomial Division	Use the long division method to find the result when 2x^3+13x^2+20x+9 is divided by 2x+9	Use the long division method to find the result when $2 x^{3} + 13 x^{2} + 20 x + 9$ is divided by $2 x + 9$
230714	Graph	2x+y>=8 y-5<3x	$2 x + y \geq 8$ $y - 5 < 3 x$
230715	Solve the Inequality for x	\|x\|>=0	$\| x \| \geq 0$
230716	Solve for x	-x/5-2/5x=2	$- \frac{x}{5} - \frac{2}{5} x = 2$
230717	Solve the Inequality for x	-1<-(-9x-1)-5/2x	$- 1 < - (- 9 x - 1) - \frac{5}{2} x$
230718	Solve the System of Equations	x^2+(y+2)^2=80 x-y=-2	$x^{2} + {(y + 2)}^{2} = 80$ $x - y = - 2$
230719	Evaluate	(1.78)(0.0435*1017)^-3	$(1.78) {(0.0435 \cdot 1017)}^{- 3}$
230720	Solve for n	\|n\|+1=2	$\| n \| + 1 = 2$
230721	Convert to Radical Form	3xy^(-2/3)	$3 x y^{- \frac{2}{3}}$
230722	Solve for x	2 cube root of -2-5x=4	$2 \sqrt[3]{- 2 - 5 x} = 4$
230723	Find the Degree, Leading Term, and Leading Coefficient	-10b^2+8a^2c^2+10a^3b^5	$- 10 b^{2} + 8 a^{2} c^{2} + 10 a^{3} b^{5}$
230724	Solve for x	2/(x+3)=(5-x)/(x+3)	$\frac{2}{x + 3} = \frac{5 - x}{x + 3}$
230725	Solve for x	(2x)/(x-2)-(4x-1)/(3x+2)=(17x+4)/(3x^2-4x-4)	$\frac{2 x}{x - 2} - \frac{4 x - 1}{3 x + 2} = \frac{17 x + 4}{3 x^{2} - 4 x - 4}$
230726	Find the Roots (Zeros)	(2x-5)(x+1)	$(2 x - 5) (x + 1)$
230727	Solve for m	2/3(m+7)=6	$\frac{2}{3} (m + 7) = 6$
230728	Solve the Rational Equation for x	3/x-1/3=1/6	$\frac{3}{x} - \frac{1}{3} = \frac{1}{6}$
230729	Divide	(10/21)÷(-15/7)	$\frac{10}{21} \div (- \frac{15}{7})$
230730	Graph	y=(e^x+e^(-x))/2	$y = \frac{e^{x} + e^{- x}}{2}$
230731	Simplify	x/(3-x)+(4x+7)/(x^2-9)	$\frac{x}{3 - x} + \frac{4 x + 7}{x^{2} - 9}$
230732	Solve for a	cube root of 432=a cube root of b	$\sqrt[3]{432} = a \sqrt[3]{b}$
230733	Simplify	(3x^2-4)(x^2-8x+4)	$(3 x^{2} - 4) (x^{2} - 8 x + 4)$
230734	Solve for x	(6x+2)^2+4=28	${(6 x + 2)}^{2} + 4 = 28$
230735	Solve for y	3/2y=12x	$\frac{3}{2} y = 12 x$
230736	Write with Rational (Fractional) Exponents	square root of 7^3* square root of 7	$\sqrt{7^{3}} \cdot \sqrt{7}$
230737	Multiply	(x+8)/(x^2+13x+40)*(x^2-25)/(9x^2)	$\frac{x + 8}{x^{2} + 13 x + 40} \cdot \frac{x^{2} - 25}{9 x^{2}}$
230738	Simplify	(x^3-10)(x^6+10x^3+100)	$(x^{3} - 10) (x^{6} + 10 x^{3} + 100)$
230739	Simplify the Radical Expression	y^2 cube root of 16x^11y^10	$y^{2} \sqrt[3]{16 x^{11} y^{10}}$
230740	Find a,b,c	x^2+4y^2+16x-80y+320=0	$x^{2} + 4 y^{2} + 16 x - 80 y + 320 = 0$
230741	Simplify the Radical Expression	eighth root of x^8y^4z^4	$\sqrt[8]{x^{8} y^{4} z^{4}}$
230742	Write the Fraction in Simplest Form	fifth root of (160m^6)/(n^7)	$\sqrt[5]{\frac{160 m^{6}}{n^{7}}}$
230743	Solve for m	(1/5)/(2/3)=(1/4)/m	$\frac{\frac{1}{5}}{\frac{2}{3}} = \frac{\frac{1}{4}}{m}$
230744	Solve for v	square root of v=-10	$\sqrt{v} = - 10$
230745	Convert to Interval Notation	x>-1/3	$x > - \frac{1}{3}$
230746	Simplify	6(4-v-2v^2)	$6 (4 - v - 2 v^{2})$
230747	Graph	f(x)=-0.5x+5 if x<1; -0.5(x+5) if x>=1	$f (x) = {\begin{cases} - 0.5 x + 5 & x < 1 \\ - 0.5 (x + 5) & x \geq 1 \end{cases}$
230748	Divide	(4+2/x)/(3-2/x)	$\frac{(4 + \frac{2}{x})}{(3 - \frac{2}{x})}$
230749	Convert to Interval Notation	x<2 and x>-4	$x < 2$ and $x > - 4$
230750	Simplify	(-13 square root of 5)*(-4 square root of 7)	$(- 13 \sqrt{5}) \cdot (- 4 \sqrt{7})$
230751	Simplify	2(48/3)^(1/4)	$2 {(\frac{48}{3})}^{\frac{1}{4}}$
230752	Solve Using the Quadratic Formula	(2y+1)^2-4y^2=5	${(2 y + 1)}^{2} - 4 y^{2} = 5$
230753	Simplify	x^y*x^y	$x^{y} \cdot x^{y}$
230754	Simplify	x(1-x)^2	$x {(1 - x)}^{2}$
230755	Simplify	(-4x^3y^-1)^3*y^4	${(- 4 x^{3} y^{- 1})}^{3} \cdot y^{4}$
230756	Simplify	(x^2+8x)/(3x^2+3x)-(x^2+2x-6)/(3x^2+3x)	$\frac{x^{2} + 8 x}{3 x^{2} + 3 x} - \frac{x^{2} + 2 x - 6}{3 x^{2} + 3 x}$
230757	Solve for m	5m^2-3=127	$5 m^{2} - 3 = 127$
230758	Find the Exact Value	cos(2pi)^2	$\cos^{2} (2 π)$
230759	Evaluate	tan(22.5 degrees )	$\tan (22.5 °)$
230760	Solve for x	3^(6x)>8^(x-4)	$3^{6 x} > 8^{x - 4}$
230761	Simplify the Radical Expression	3 square root of 10(5 square root of 2-6 square root of 8)	$3 \sqrt{10} (5 \sqrt{2} - 6 \sqrt{8})$
230762	Divide Using Long Polynomial Division	(x^3+3x^2-4)/(x-1)	$\frac{x^{3} + 3 x^{2} - 4}{x - 1}$
230763	Evaluate	(2pi)/(\|4\|)	$\frac{2 π}{\| 4 \|}$
230764	Find All Complex Solutions	square root of x+2+6=5	$\sqrt{x + 2} + 6 = 5$
230765	Divide Using Long Polynomial Division	(6x^2-4x-3)/x	$\frac{6 x^{2} - 4 x - 3}{x}$
230766	Write the Fraction in Simplest Form	3/(x-3)-5/(x+2)	$\frac{3}{x - 3} - \frac{5}{x + 2}$
230767	Evaluate	(xx^5y^-2)/(y^-8)	$\frac{x \cdot x^{5} y^{- 2}}{y^{- 8}}$
230768	Factor	q^2+q+5pq+5p	$q^{2} + q + 5 p q + 5 p$
230769	Simplify	(r+2t)(8r+t-w)	$(r + 2 t) (8 r + t - w)$
230770	Simplify	(b^4c^6f^8)/(b^4c^3f^5)	$\frac{b^{4} c^{6} f^{8}}{b^{4} c^{3} f^{5}}$
230771	Solve for x	Solve: (x+3)^2-3=49	Solve: ${(x + 3)}^{2} - 3 = 49$
230772	Evaluate	((- square root of 2)/2)÷(( square root of 2)/2)	$\frac{- \sqrt{2}}{2} \div \frac{\sqrt{2}}{2}$
230773	Convert to Interval Notation	x^4-4x^3+8x>=0	$x^{4} - 4 x^{3} + 8 x \geq 0$
230774	Simplify	((2+x)/(8x))/((3+x)/x)	$\frac{\frac{2 + x}{8 x}}{\frac{3 + x}{x}}$
230775	Graph	f(x)=e^(1/x)	$f (x) = e^{\frac{1}{x}}$
230776	Solve for x	cube root of 2x+1=0	$\sqrt[3]{2 x} + 1 = 0$
230777	Graph	y=(2x+5)(x-1)^2	$y = (2 x + 5) {(x - 1)}^{2}$
230778	Simplify	(7d^(3/2)2g^(5/6))(2g^(3/2)7d^(5/6))	$(7 d^{\frac{3}{2}} \cdot 2 g^{\frac{5}{6}}) (2 g^{\frac{3}{2}} \cdot 7 d^{\frac{5}{6}})$
230779	Graph	x^3+x^2-2x=0	$x^{3} + x^{2} - 2 x = 0$
230780	Solve for x	3/(x^2+x-2)-1/(x^2-1)=7/(2x^2+6x+4)	$\frac{3}{x^{2} + x - 2} - \frac{1}{x^{2} - 1} = \frac{7}{2 x^{2} + 6 x + 4}$
230781	Solve the System of Inequalities	y<-2/3x+3 y>=3x-8	$y < - \frac{2}{3} x + 3$ $y \geq 3 x - 8$
230782	Find the Exact Value	-(57)^0+(1/2)^-2-1^5	$- {(57)}^{0} + {(\frac{1}{2})}^{- 2} - 1^{5}$
230783	Solve for y	4/3(15-6y)-7=-11	$\frac{4}{3} (15 - 6 y) - 7 = - 11$
230784	Solve for x	(1/2x-7)/2=-3x+4	$\frac{\frac{1}{2} x - 7}{2} = - 3 x + 4$
230785	Simplify	((x^2-4)^4)/((x^2-4x+4) square root of x+2)	$\frac{{(x^{2} - 4)}^{4}}{(x^{2} - 4 x + 4) \sqrt{x + 2}}$
230786	Evaluate	log of 1/10 square root of 1000	$\log (\frac{1}{10} \sqrt{1000})$
230787	Solve for r	(\|-10+4r\|)/10>1	$\frac{\| - 10 + 4 r \|}{10} > 1$
230788	Solve for x	1/2x+3/4x=5-2.5x	$\frac{1}{2} x + \frac{3}{4} x = 5 - 2.5 x$
230789	Find the Roots (Zeros)	(2x+5)(x-6)	$(2 x + 5) (x - 6)$
230790	Graph	Graph the line y=-5	Graph the line $y = - 5$
230791	Simplify	(6^(1/2)*0.4^(1/3))^2	${(6^{\frac{1}{2}} \cdot {0.4}^{\frac{1}{3}})}^{2}$
230792	Solve the System of Inequalities	-2a+3>=6a-1>3a-10	$- 2 a + 3 \geq 6 a - 1 > 3 a - 10$
230793	Find the Roots (Zeros)	x^5-3x^4+x^3+x^2+4=0	$x^{5} - 3 x^{4} + x^{3} + x^{2} + 4 = 0$
230794	Solve the System of Equations	x-y-2w=3 2x-3y+w=1 -2x+2y+4w=-6	$x - y - 2 w = 3$ $2 x - 3 y + w = 1$ $- 2 x + 2 y + 4 w = - 6$
230795	Simplify	(5/(x+6)-(2x)/(2x-1))/(x/(2x-1)+4/(x+6))	$\frac{\frac{5}{x + 6} - \frac{2 x}{2 x - 1}}{\frac{x}{2 x - 1} + \frac{4}{x + 6}}$
230796	Simplify	(b^2c)/(b^2c^5)	$\frac{b^{2} c}{b^{2} c^{5}}$
230797	Simplify	(4-i square root of 2)-(3+i square root of 2)+8i	$(4 - i \sqrt{2}) - (3 + i \sqrt{2}) + 8 i$
230798	Simplify	(1-x-y)^2	${(1 - x - y)}^{2}$
230799	Evaluate	(10^0r^-11*8)/(3^2)	$\frac{10^{0} r^{- 11} \cdot 8}{3^{2}}$
230800	Simplify	( square root of -32)/( square root of -50)	$\frac{\sqrt{- 32}}{\sqrt{- 50}}$