Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
205901	Solve the Inequality for b	4b>132	$4 b > 132$
205902	Graph	y<-x+4 and y<=5	$y < - x + 4$ and $y \leq 5$
205903	Simplify	square root of -(14a)^2	$\sqrt{- {(14 a)}^{2}}$
205904	Solve for x	5^(x-2)-5^3=500	$5^{x - 2} - 5^{3} = 500$
205905	Solve for V	486=6V^(2/3)	$486 = 6 V^{\frac{2}{3}}$
205906	Simplify	(-64)(2/3)	$(- 64) (\frac{2}{3})$
205907	Evaluate	2y^2*3x	$2 y^{2} \cdot 3 x$
205908	Simplify	(3i^2)(8i^3)	$(3 i^{2}) (8 i^{3})$
205909	Simplify	fourth root of 48xy^11z^3	$\sqrt[4]{48 x y^{11} z^{3}}$
205910	Solve for x	4+(1/x-2)=20	$4 + (\frac{1}{x} - 2) = 20$
205911	Simplify	(6t^2-6)/(2t-4)	$\frac{6 t^{2} - 6}{2 t - 4}$
205912	Simplify	(x+y)-(x+y)	$(x + y) - (x + y)$
205913	Solve for r	3r-7s=K	$3 r - 7 s = K$
205914	Solve the System of Equations	x^2+2y=10 y=-3x+9	$x^{2} + 2 y = 10$ $y = - 3 x + 9$
205915	Evaluate	(6^15)/(6^-7)	$\frac{6^{15}}{6^{- 7}}$
205916	Determine if Linear	4^x-9=y	$4^{x} - 9 = y$
205917	Simplify	(4y^2-25)/(4y^2-20y+25)	$\frac{4 y^{2} - 25}{4 y^{2} - 20 y + 25}$
205918	Write in Standard Form	3y^2+6y+15=12x	$3 y^{2} + 6 y + 15 = 12 x$
205919	Write the Fraction in Simplest Form	(4m^2)/((5m^4)^3)	$\frac{4 m^{2}}{{(5 m^{4})}^{3}}$
205920	Simplify the Radical Expression	(2+3 square root of 3)/( square root of 3+5)	$\frac{2 + 3 \sqrt{3}}{\sqrt{3} + 5}$
205921	Solve for v	16-8v=-8v-20-2v	$16 - 8 v = - 8 v - 20 - 2 v$
205922	Simplify	4^15*5^10	$4^{15} \cdot 5^{10}$
205923	Solve for x	8+4^(x-3)=1010	$8 + 4^{x - 3} = 1010$
205924	Simplify	-10i^104+9i^7+4i^100-9i^114	$- 10 i^{104} + 9 i^{7} + 4 i^{100} - 9 i^{114}$
205925	Evaluate	6.2÷(2x+1)=2 1/3÷4	$6.2 \div (2 x + 1) = 2 \frac{1}{3} \div 4$
205926	Solve for x	y=x-12 y=13	$y = x - 12$ $y = 13$
205927	Determine if (0,0) is a Solution	y>=3x-2 , (0,0)	$y \geq 3 x - 2$ , $(0, 0)$
205928	Solve the System of Equations	y=2/(3x)-2 y=-x+3	$y = \frac{2}{3 x} - 2$ $y = - x + 3$
205929	Simplify	7(1/3x+3)+2/3x+1	$7 (\frac{1}{3} x + 3) + \frac{2}{3} x + 1$
205930	Write in Standard Form	5x^5+2x^2-7-4x^4	$5 x^{5} + 2 x^{2} - 7 - 4 x^{4}$
205931	Rationalize the Denominator	1/( square root of 2b^3)	$\frac{1}{\sqrt{2 b^{3}}}$
205932	Simplify the Radical Expression	(4 square root of 6)^2	${(4 \sqrt{6})}^{2}$
205933	Rationalize the Denominator	( cube root of 10)/( cube root of 2)	$\frac{\sqrt[3]{10}}{\sqrt[3]{2}}$
205934	Factor by Grouping	x^4-36	$x^{4} - 36$
205935	Simplify	(-2c^-1d^3)^3	${(- 2 c^{- 1} d^{3})}^{3}$
205936	Factor	128y-2x^3y	$128 y - 2 x^{3} y$
205937	Find the x and y Intercepts	f(x)=-1/8(2x-6)^3-2	$f (x) = - \frac{1}{8} {(2 x - 6)}^{3} - 2$
205938	Find the Inverse	f(x)=(x+3)^2-2 , x<=-3	$f (x) = {(x + 3)}^{2} - 2$ , $x \leq - 3$
205939	Graph	y<=2x+2 y<=1/5x	$y \leq 2 x + 2$ $y \leq \frac{1}{5} x$
205940	Divide	((((-27÷(-9))÷1)÷(-1))÷(-1))÷1	$- 27 \div (- 9) \div 1 \div (- 1) \div (- 1) \div 1$
205941	Solve by Completing the Square	2x^2+42x+260=6x	$2 x^{2} + 42 x + 260 = 6 x$
205942	Evaluate	15-1(12÷4+1)	$15 - 1 (12 \div 4 + 1)$
205943	Solve for x	2x(x-3)+5(x-3)=0	$2 x (x - 3) + 5 (x - 3) = 0$
205944	Simplify	3^(4/2)	$3^{\frac{4}{2}}$
205945	Solve the Inequality for x	\|x\|>-5	$\| x \| > - 5$
205946	Simplify	5x+3x+2y+4y	$5 x + 3 x + 2 y + 4 y$
205947	Evaluate	(-2+- square root of 2^2-41-3)/(2(1))	$\frac{- 2 + - \sqrt{2^{2} - 4 \cdot 1 \cdot - 3}}{2 (1)}$
205948	Evaluate	(2x^-6)^-2	${(2 x^{- 6})}^{- 2}$
205949	Find the Exact Value	sec(45 degrees )cot(30 degrees )	$\sec (45 °) \cot (30 °)$
205950	Simplify	((w^5)/w)^(1/14)	${(\frac{w^{5}}{w})}^{\frac{1}{14}}$
205951	Solve for x	square root of 9x-3 = square root of x+5	$\sqrt{9 x} - 3 = \sqrt{x + 5}$
205952	Simplify	(8/(2n^3))÷4n^2	$\frac{8}{2 n^{3}} \div 4 n^{2}$
205953	Simplify the Radical Expression	square root of 175- square root of 28	$\sqrt{175} - \sqrt{28}$
205954	Solve the System of Equations	-2x+3y+9z=0 -2x+6y+7z=-4 2x+5y-8z=2	$- 2 x + 3 y + 9 z = 0$ $- 2 x + 6 y + 7 z = - 4$ $2 x + 5 y - 8 z = 2$
205955	Divide	(6x^2-9x-6)÷(x-2)	$(6 x^{2} - 9 x - 6) \div (x - 2)$
205956	Simplify	(3/162/5)/(7/43/2)	$\frac{\frac{3}{16} \cdot \frac{2}{5}}{\frac{7}{4} \cdot \frac{3}{2}}$
205957	Simplify	(2^8)/(2^3)+3^0	$\frac{2^{8}}{2^{3}} + 3^{0}$
205958	Solve for x	-36=-9(x-12)^(1/2)	$- 36 = - 9 {(x - 12)}^{\frac{1}{2}}$
205959	Simplify	e^(2x)e^5e^(x-2)	$e^{2 x} \cdot e^{5} \cdot e^{x - 2}$
205960	Simplify	(6x^3)(3xy)^-1	$(6 x^{3}) {(3 x y)}^{- 1}$
205961	Solve for x	square root of 7x-4- square root of 4x+9=0	$\sqrt{7 x - 4} - \sqrt{4 x + 9} = 0$
205962	Find the Roots (Zeros)	y=x^3-4x-6	$y = x^{3} - 4 x - 6$
205963	Divide	((3x-1)/(6x^4+x^3+8x^2+9x-4))	$(\frac{3 x - 1}{6 x^{4} + x^{3} + 8 x^{2} + 9 x - 4})$
205964	Simplify	(12a^3b^6c^5)/(3a^2b^4c^5)	$\frac{12 a^{3} b^{6} c^{5}}{3 a^{2} b^{4} c^{5}}$
205965	Solve the Inequality for x	1/2x-1/4<5/8	$\frac{1}{2} x - \frac{1}{4} < \frac{5}{8}$
205966	Solve the Inequality for n	14<-6n-10	$14 < - 6 n - 10$
205967	Simplify	Simplify square root of 48x^8y^4	Simplify $\sqrt{48 x^{8} y^{4}}$
205968	Solve for x	( square root of 2)/( square root of 7)=x/( square root of 14)	$\frac{\sqrt{2}}{\sqrt{7}} = \frac{x}{\sqrt{14}}$
205969	Solve the Inequality for y	-4<(y-7)/-3<=2	$- 4 < \frac{y - 7}{- 3} \leq 2$
205970	Write the Fraction in Simplest Form	(4(h^4)^4)/(12h)	$\frac{4 {(h^{4})}^{4}}{12 h}$
205971	Solve the Rational Equation for x	6+ square root of 6-15x=15	$6 + \sqrt{6 - 15 x} = 15$
205972	Solve for x	10^(2x^2+2x)=100^(-6x+8)	$10^{2 x^{2} + 2 x} = 100^{- 6 x + 8}$
205973	Simplify	square root of ( square root of 11-3)^2+( square root of 11+3)^2	$\sqrt{{(\sqrt{11} - 3)}^{2} + {(\sqrt{11} + 3)}^{2}}$
205974	Solve for n	i^13+i^18+i^31+n=0	$i^{13} + i^{18} + i^{31} + n = 0$
205975	Solve for z	z=2(cos(pi)+isin(pi))	$z = 2 (\cos (π) + i \sin (π))$
205976	Find the Exact Value	tan((21pi)/2+pi/2)	$\tan (\frac{21 π}{2} + \frac{π}{2})$
205977	Simplify the Radical Expression	square root of x^6y^2	$\sqrt{x^{6} y^{2}}$
205978	Solve for p	(p-3.1)/6.7=4.5/5	$\frac{p - 3.1}{6.7} = \frac{4.5}{5}$
205979	Write in Slope-Intercept Form	2y=x	$2 y = x$
205980	Solve for y	7^(3y-8)=7^13	$7^{3 y - 8} = 7^{13}$
205981	Write as a Single Logarithm	2 log of x- log of y-2 log of z	$2 \log (x) - \log (y) - 2 \log (z)$
205982	Solve for x	2(x^2-81)(x^2-13)=0	$2 (x^{2} - 81) (x^{2} - 13) = 0$
205983	Simplify	(4^0)(5^2)(6^1)(100^0)	$(4^{0}) (5^{2}) (6^{1}) (100^{0})$
205984	Solve for x	6(4-x)+6x=24	$6 (4 - x) + 6 x = 24$
205985	Evaluate	-2\|10-(-23)\|-3+18	$- 2 \| 10 - (- 23) \| - 3 + 18$
205986	Simplify	(-5-2 square root of 3)(-1- square root of 12)	$(- 5 - 2 \sqrt{3}) (- 1 - \sqrt{12})$
205987	Solve for y	Ax+By=C for y	$A x + B y = C$ for $y$
205988	Simplify	((x+5)/(x^2-5x)-x/(x^2-25))*(x^2-25)/5	$(\frac{x + 5}{x^{2} - 5 x} - \frac{x}{x^{2} - 25}) \cdot \frac{x^{2} - 25}{5}$
205989	Simplify	(y^3-4y^2-2)-(6y^3+4-6y^2)	$(y^{3} - 4 y^{2} - 2) - (6 y^{3} + 4 - 6 y^{2})$
205990	Find the x and y Intercepts	(-3x^2+9x-6)/(2x^2-8)	$\frac{- 3 x^{2} + 9 x - 6}{2 x^{2} - 8}$
205991	Solve for b	-0.8b=-4(0.3b+0.4)	$- 0.8 b = - 4 (0.3 b + 0.4)$
205992	Solve for x	6^(3x)*6^(-x)=6^(-2x)	$6^{3 x} \cdot 6^{- x} = 6^{- 2 x}$
205993	Simplify	3/4m^7n^6*m^5n^9-(1/2m^4n^5)^3	$\frac{3}{4} m^{7} n^{6} \cdot m^{5} n^{9} - {(\frac{1}{2} m^{4} n^{5})}^{3}$
205994	Solve the Inequality for t	15t>180	$15 t > 180$
205995	Simplify	cube root of square root of 25	$\sqrt[3]{\sqrt{25}}$
205996	Solve for x	1/2(x-8)=3/2x+7	$\frac{1}{2} (x - 8) = \frac{3}{2} x + 7$
205997	Find the Product	5r^5(6r-3)	$5 r^{5} (6 r - 3)$
205998	Simplify the Radical Expression	fourth root of 81x^2	$\sqrt[4]{81 x^{2}}$
205999	Simplify	( fifth root of 2xy)/( fourth root of 3x^2y)	$\frac{\sqrt[5]{2 x y}}{\sqrt[4]{3 x^{2} y}}$
206000	Simplify	(1+4x+3x^2)(2-7x-9x^2)	$(1 + 4 x + 3 x^{2}) (2 - 7 x - 9 x^{2})$