Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
233701	Simplify the Radical Expression	7 square root of 4(5 square root of 3-2 square root of 3)	$7 \sqrt{4} (5 \sqrt{3} - 2 \sqrt{3})$
233702	Solve the System of Equations	-x-4y=2 and x+4y=-2	$- x - 4 y = 2$ and $x + 4 y = - 2$
233703	Simplify the Radical Expression	fourth root of 3^3* sixth root of 3^5	$\sqrt[4]{3^{3}} \cdot \sqrt[6]{3^{5}}$
233704	Simplify	xy+yx	$x y + y x$
233705	Find the x and y Intercepts	f(x)=x^2(x^2+9)(2x+3)(x^2-6)	$f (x) = x^{2} (x^{2} + 9) (2 x + 3) (x^{2} - 6)$
233706	Simplify	3^3x*3^4	$3^{3} x \cdot 3^{4}$
233707	Solve for y	y-1/2=1/5	$y - \frac{1}{2} = \frac{1}{5}$
233708	Simplify	(2 square root of 8+3 square root of 5)(6 square root of 8+7 square root of 5)	$(2 \sqrt{8} + 3 \sqrt{5}) (6 \sqrt{8} + 7 \sqrt{5})$ ?
233709	Find the Distance Between Two Points	(0,0) and (4,6)	$(0, 0)$ and $(4, 6)$
233710	Solve for x	a(x+z)-yx=b	$a (x + z) - y x = b$
233711	Evaluate	8- fourth root of x=7	$8 - \sqrt[4]{x} = 7$
233712	Graph	x^2+(y-(3/x)^2)*2=1	$x^{2} + (y - {(\frac{3}{x})}^{2}) \cdot 2 = 1$
233713	Simplify	( seventh root of x^2)( fifth root of x^3)	$(\sqrt[7]{x^{2}}) (\sqrt[5]{x^{3}})$
233714	Simplify the Radical Expression	fourth root of 6^5* square root of 6^3	$\sqrt[4]{6^{5}} \cdot \sqrt{6^{3}}$
233715	Simplify	(9/(4x^2))/((6x)/(16x^4))	$\frac{\frac{9}{4 x^{2}}}{\frac{6 x}{16 x^{4}}}$
233716	Write in Standard Form	4x^2y^2-2y^4-8xy^3+9x^3y+6y^4-2xy^3-3x^4+x^2y^2	$4 x^{2} y^{2} - 2 y^{4} - 8 x y^{3} + 9 x^{3} y + 6 y^{4} - 2 x y^{3} - 3 x^{4} + x^{2} y^{2}$
233717	Solve the Inequality for x	4x^2-12>=-4x-9	$4 x^{2} - 12 \geq - 4 x - 9$
233718	Write the Fraction in Simplest Form	(2^2y^-6)/(8^-1z^0x^-7)	$\frac{2^{2} y^{- 6}}{8^{- 1} z^{0} x^{- 7}}$
233719	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (4,7) and has a slope of -1/4 ?	What is the equation of the line that passes through the point $(4, 7)$ and has a slope of $- \frac{1}{4}$ ?
233720	Evaluate	2x>-10	$2 x > - 10$
233721	Evaluate	1/2-(-8)	$\frac{1}{2} - (- 8)$
233722	Simplify	(1/2)^-2+3^0	${(\frac{1}{2})}^{- 2} + 3^{0}$
233723	Combine Like Terms	1/2(13x+5x-6-8x+14)	$\frac{1}{2} (13 x + 5 x - 6 - 8 x + 14)$
233724	Solve for v	-4/(2v+12)+3=-2/(v+6)	$- \frac{4}{2 v + 12} + 3 = - \frac{2}{v + 6}$
233725	Graph	1/0	$\frac{1}{0}$
233726	Factor	2x(5x-1)^(4/5)+7(5x-1)^(9/5)	$2 x {(5 x - 1)}^{\frac{4}{5}} + 7 {(5 x - 1)}^{\frac{9}{5}}$
233727	Factor	8x^4y^4-12x^3z^2	$8 x^{4} y^{4} - 12 x^{3} z^{2}$
233728	Simplify	(3 square root of 32a^2)/( square root of 8a)	$\frac{3 \sqrt{32 a^{2}}}{\sqrt{8 a}}$
233729	Subtract	0 , 1^2	$0$ , $1^{2}$
233730	Evaluate	((b^(3/2))/(b^(2/3)))	$(\frac{b^{\frac{3}{2}}}{b^{\frac{2}{3}}})$
233731	Evaluate	fourth root of 6^5* square root of 6^3	$\sqrt[4]{6^{5}} \cdot \sqrt{6^{3}}$
233732	Simplify	((2x)^-2y^2)/((8x)^-1yz^0)	$\frac{{(2 x)}^{- 2} y^{2}}{{(8 x)}^{- 1} y z^{0}}$
233733	Graph	y=1/2e^(x+3)-2	$y = \frac{1}{2} e^{x + 3} - 2$
233734	Divide Using Long Polynomial Division	Use the long division method to find the result when 2x^3-9x^2+13x-6 is divided by 2x-3	Use the long division method to find the result when $2 x^{3} - 9 x^{2} + 13 x - 6$ is divided by $2 x - 3$
233735	Simplify	28-(8+4)*(4-2)	$28 - (8 + 4) \cdot (4 - 2)$
233736	Evaluate	(7-6)(-3)^2	$(7 - 6) {(- 3)}^{2}$
233737	Simplify	2+1/(3+1/(1+1/(1+1/2)))	$2 + \frac{1}{3 + \frac{1}{1 + \frac{1}{1 + \frac{1}{2}}}}$
233738	Simplify	(9n^3-4n^2+2n-10)+(-2n^2+n+7)	$(9 n^{3} - 4 n^{2} + 2 n - 10) + (- 2 n^{2} + n + 7)$
233739	Find the Inverse	(3x+2)/(2+x)	$\frac{3 x + 2}{2 + x}$
233740	Find the Inverse	(x-6)/(-3x)	$\frac{x - 6}{- 3 x}$
233741	Simplify	(-1/2x+7/10)-(-3/4x-1/5)	$(- \frac{1}{2} x + \frac{7}{10}) - (- \frac{3}{4} x - \frac{1}{5})$
233742	Find the Distance Between Two Points	(0,-1) and (3,-5)	$(0, - 1)$ and $(3, - 5)$
233743	Write the Fraction in Simplest Form	(-4(m^-3z^4)^2)/(12m^-4z^-1)	$\frac{- 4 {(m^{- 3} z^{4})}^{2}}{12 m^{- 4} z^{- 1}}$
233744	Simplify	( square root of -1)/((3+8i)-(2+5i))	$\frac{\sqrt{- 1}}{(3 + 8 i) - (2 + 5 i)}$
233745	Solve for x	3x^2+9x=-6	$3 x^{2} + 9 x = - 6$
233746	Solve for x	x/(-1/6)=6/7	$\frac{x}{- \frac{1}{6}} = \frac{6}{7}$
233747	Solve the Inequality for r	3r+2(12r+7)<=5r-8	$3 r + 2 (12 r + 7) \leq 5 r - 8$
233748	Solve the Rational Equation for x	2 = square root of 3x+34	$2 = \sqrt{3 x + 34}$
233749	Simplify	(5xy)^2*4x^5	${(5 x y)}^{2} \cdot 4 x^{5}$
233750	Evaluate	2pi*360/(16pi)	$2 π \cdot \frac{360}{16 π}$
233751	Find the Axis of Symmetry	f(x)=-1/2(x+3)^2	$f (x) = - \frac{1}{2} {(x + 3)}^{2}$
233752	Solve for a	h(a)=9a^2+46a ; solve for h(a)=-5	$h (a) = 9 a^{2} + 46 a$ ; solve for $h (a) = - 5$
233753	Solve by Graphing	y=x y=-x+6	$y = x$ $y = - x + 6$
233754	Find the Roots (Zeros)	2x^(4/3)-x^(2/3)-6=0	$2 x^{\frac{4}{3}} - x^{\frac{2}{3}} - 6 = 0$
233755	Find the Equation Given the Roots	-3 and 5	$- 3$ and $5$
233756	Simplify the Radical Expression	fourth root of 9/(2x^2)	$\sqrt[4]{\frac{9}{2 x^{2}}}$
233757	Evaluate	(-2)^-3(-24)	${(- 2)}^{- 3} (- 24)$
233758	Solve for x	2/x+6/(x-1)=6/(x^2-x)	$\frac{2}{x} + \frac{6}{x - 1} = \frac{6}{x^{2} - x}$
233759	Multiply	7/81/53/7	$\frac{7}{8} \cdot \frac{1}{5} \cdot \frac{3}{7}$
233760	Write in Standard Form	-3n(n^2-2n+8)	$- 3 n (n^{2} - 2 n + 8)$
233761	Graph	(A intersect B) union C	$(A \cap B) \cup C$
233762	Simplify	(a^3b^(-1/2))^4	${(a^{3} b^{- \frac{1}{2}})}^{4}$
233763	Simplify	((3x^2y^5)/(2x^-1y^-2))^2	${(\frac{3 x^{2} y^{5}}{2 x^{- 1} y^{- 2}})}^{2}$
233764	Simplify	8x-12-(-5x)+7	$8 x - 12 - (- 5 x) + 7$
233765	Simplify the Radical Expression	square root of 10* square root of 10^3	$\sqrt{10} \cdot \sqrt{10^{3}}$
233766	Graph	y<=x-1 y>=-3	$y \leq x - 1$ $y \geq - 3$
233767	Solve for x	3x^3+7=216	$3 x^{3} + 7 = 216$
233768	Divide	((x^2-4)/(5x+30))÷((x^2+11x+18)/(3x+27))	$\frac{x^{2} - 4}{5 x + 30} \div \frac{x^{2} + 11 x + 18}{3 x + 27}$
233769	Divide	(x^4-1)/(x^2-1)	$\frac{x^{4} - 1}{x^{2} - 1}$
233770	Simplify	x/( square root of x-x)	$\frac{x}{\sqrt{x} - x}$
233771	Evaluate	(cos(-0.1)-1)/-0.1	$\frac{\cos (- 0.1) - 1}{- 0.1}$
233772	Solve for m	m-62/3=41/3	$m - \frac{62}{3} = \frac{41}{3}$
233773	Write as a Single Logarithm	log base 7 of y-2( log base 7 of x+1/2 log base 7 of z)	$\log_{7} (y) - 2 (\log_{7} (x) + \frac{1}{2} \log_{7} (z))$
233774	Identify the Sequence	4 , 12 , 36 ; dots	$4$ , $12$ , $36$ ; dots
233775	Simplify	(72÷( square root of 100-4^2))/( cube root of 27)	$\frac{72 \div (\sqrt{100} - 4^{2})}{\sqrt[3]{27}}$
233776	Solve for x	2=3/5x-1/3x+2/5x	$2 = \frac{3}{5} x - \frac{1}{3} x + \frac{2}{5} x$
233777	Evaluate	10+3(12÷(3*2))	$10 + 3 (12 \div (3 \cdot 2))$
233778	Find the Exact Value	sin(pi/4)cos(pi/4)-tan(pi/3)	$\sin (\frac{π}{4}) \cos (\frac{π}{4}) - \tan (\frac{π}{3})$
233779	Evaluate	-8/9+1/3(-3/8)	$- \frac{8}{9} + \frac{1}{3} (- \frac{3}{8})$
233780	Convert to a Percentage	21 is what percent of 60	$21$ is what percent of $60$
233781	Simplify	2^4-1/(2^-3)+5x^0-(3x^0y^2)^0	$2^{4} - \frac{1}{2^{- 3}} + 5 x^{0} - {(3 x^{0} y^{2})}^{0}$
233782	Rationalize the Denominator	( square root of xy)/( square root of x+ square root of y)	$\frac{\sqrt{x y}}{\sqrt{x} + \sqrt{y}}$
233783	Evaluate	sin(45 degrees )+cos(45 degrees )	$\sin (45 °) + \cos (45 °)$
233784	Simplify	-5x^3y(3x^2y^2+15z)	$- 5 x^{3} y (3 x^{2} y^{2} + 15 z)$
233785	Simplify the Radical Expression	5^-3	$5^{- 3}$
233786	Solve for u	-6=-3/u	$- 6 = - \frac{3}{u}$
233787	Solve the Inequality for x	-x^2-64<=-16x	$- x^{2} - 64 \leq - 16 x$
233788	Simplify	(3 square root of 3-2 square root of 2)/( square root of 3- square root of 2)	$\frac{3 \sqrt{3} - 2 \sqrt{2}}{\sqrt{3} - \sqrt{2}}$
233789	Graph	Graph the line with the equation y=x+1	Graph the line with the equation $y = x + 1$
233790	Simplify	(x+2)/(x-3)+(x+2)/(x+5)	$\frac{x + 2}{x - 3} + \frac{x + 2}{x + 5}$
233791	Simplify	square root of 1-1/36	$\sqrt{1 - \frac{1}{36}}$
233792	Find the Exact Value	csc(-495 degrees )	$\csc (- 495 °)$
233793	Solve the Rational Equation for x	-3 square root of x-8=19	$- 3 \sqrt{x} - 8 = 19$
233794	Solve for x	0.4(x+2)-0.6(x+2)=-0.2x-0.4	$0.4 (x + 2) - 0.6 (x + 2) = - 0.2 x - 0.4$
233795	Factor	(2x+7)^2-(7x+5)^2	${(2 x + 7)}^{2} - {(7 x + 5)}^{2}$
233796	Solve for x	h(-18)=17+x/6	$h (- 18) = 17 + \frac{x}{6}$
233797	Simplify	5*2^-3	$5 \cdot 2^{- 3}$
233798	Evaluate	9*(2+4)^2-3	$9 \cdot {(2 + 4)}^{2} - 3$
233799	Simplify	( square root of 125+ square root of 20- square root of 45)/( square root of 10)*( square root of 2)/3	$\frac{(\sqrt{125} + \sqrt{20} - \sqrt{45})}{\sqrt{10}} \cdot \frac{\sqrt{2}}{3}$
233800	Solve the Inequality for r	5r-6>8r-18	$5 r - 6 > 8 r - 18$