Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
202801	Simplify the Radical Expression	3 cube root of 16-2 cube root of 54	$3 \sqrt[3]{16} - 2 \sqrt[3]{54}$
202802	Simplify the Radical Expression	( square root of 648)/( square root of 9)	$\frac{\sqrt{648}}{\sqrt{9}}$
202803	Simplify	sin(theta)cot(theta)csc(theta)	$\sin (θ) \cdot \cot (θ) \cdot \csc (θ)$
202804	Factor	f(x)=-(x+3)^2+16	$f (x) = - {(x + 3)}^{2} + 16$
202805	Solve for c	9-2(9c+1)=-9c-6c-5	$9 - 2 (9 c + 1) = - 9 c - 6 c - 5$
202806	Simplify	Find the sum of 2x^2-8x-6 and 9x^2-8	Find the sum of $2 x^{2} - 8 x - 6$ and $9 x^{2} - 8$
202807	Solve for x	square root of x+6-2 = square root of x-2	$\sqrt{x + 6} - 2 = \sqrt{x - 2}$
202808	Solve for x	(2x-5)(x+4)=2x^2+5(x+2)	$(2 x - 5) (x + 4) = 2 x^{2} + 5 (x + 2)$
202809	Simplify	((4-6x)/24)÷((2-3x)/8)	$\frac{4 - 6 x}{24} \div \frac{2 - 3 x}{8}$
202810	Simplify	(z/(2z-2))÷(7/6)	$\frac{z}{2 z - 2} \div \frac{7}{6}$
202811	Simplify	(8(-m^0n^2)^3(-n^3)^2)/(m^6n^0(-2m^-2n^4)^3)	$\frac{8 {(- m^{0} n^{2})}^{3} {(- n^{3})}^{2}}{m^{6} n^{0} {(- 2 m^{- 2} n^{4})}^{3}}$
202812	Simplify	-3m+3(m+6)	$- 3 m + 3 (m + 6)$
202813	Simplify the Radical Expression	fourth root of (32x^6)/(y^2)	$\sqrt[4]{\frac{32 x^{6}}{y^{2}}}$
202814	Simplify the Radical Expression	fifth root of 15/-32	$\sqrt[5]{\frac{15}{- 32}}$
202815	Simplify	fifth root of 15/-32	$\sqrt[5]{\frac{15}{- 32}}$
202816	Evaluate	m^4*2m^-3	$m^{4} \cdot 2 m^{- 3}$
202817	Simplify	(5x^2+2x-5x^4-5)-(3x^2-10x^4+6x)	$(5 x^{2} + 2 x - 5 x^{4} - 5) - (3 x^{2} - 10 x^{4} + 6 x)$
202818	Graph	x+y<1 x-y<=2	$x + y < 1$ $x - y \leq 2$
202819	Solve by Addition/Elimination	y+z=4 y-z=8	$y + z = 4$ $y - z = 8$
202820	Solve by Substitution	y=6x-11 and -2x-3y=-7	$y = 6 x - 11$ and $- 2 x - 3 y = - 7$
202821	Graph	x<-4 3x+2y<=-2	$x < - 4$ $3 x + 2 y \leq - 2$
202822	Solve for x	x+x/2-4=x/4	$x + \frac{x}{2} - 4 = \frac{x}{4}$
202823	Simplify the Radical Expression	( fourth root of 810)/( fourth root of 2)	$\frac{\sqrt[4]{810}}{\sqrt[4]{2}}$
202824	Factor	2(-8x-3)+18x	$2 (- 8 x - 3) + 18 x$
202825	Solve the Inequality for y	8(6-y)<24.2-7y	$8 (6 - y) < 24.2 - 7 y$
202826	Solve for a	(3x-5)/(4x+3)+(-2x+1)/(7x-2)=(ax^2+bx+c)/((4x+3)(7x-2))	$\frac{3 x - 5}{4 x + 3} + \frac{- 2 x + 1}{7 x - 2} = \frac{a x^{2} + b x + c}{(4 x + 3) (7 x - 2)}$
202827	Simplify	125^(-3/4)*5^(-3/4)	$125^{- \frac{3}{4}} \cdot 5^{- \frac{3}{4}}$
202828	Graph	16x^2+25y^2+400=0	$16 x^{2} + 25 y^{2} + 400 = 0$
202829	Subtract	(-x^2+9xy)-(x^2+6xy-8y^2)	$(- x^{2} + 9 x y) - (x^{2} + 6 x y - 8 y^{2})$
202830	Simplify	(c^2-6d^2)+(c^2-2cd+2d^2)	$(c^{2} - 6 d^{2}) + (c^{2} - 2 c d + 2 d^{2})$
202831	Divide	(10+i)/(8-2i)	$\frac{10 + i}{8 - 2 i}$
202832	Solve for v	v-5/6=-7/8	$v - \frac{5}{6} = - \frac{7}{8}$
202833	Solve the Inequality for x	3x+4>x^2	$3 x + 4 > x^{2}$
202834	Simplify	(a/(a-1)-(1+a)/a)/((a-1)/a-a/(1+a))	$\frac{\frac{a}{a - 1} - \frac{1 + a}{a}}{\frac{a - 1}{a} - \frac{a}{1 + a}}$
202835	Find the Product	(4ab+3c)(5ab+7c)	$(4 a b + 3 c) (5 a b + 7 c)$
202836	Solve for x	0=4/(9x)	$0 = \frac{4}{9 x}$
202837	Evaluate	( square root of 3)/3+( square root of 3)/3	$\frac{\sqrt{3}}{3} + \frac{\sqrt{3}}{3}$
202838	Write in Standard Form	-2(x+y)+9=1	$- 2 (x + y) + 9 = 1$
202839	Evaluate	1*180/pi	$1 \cdot \frac{180}{π}$
202840	Solve for x	3^(4x)=1/27	$3^{4 x} = \frac{1}{27}$
202841	Graph	y>=- square root of 3x-6-5	$y \geq - \sqrt{3 x - 6} - 5$
202842	Simplify	2* square root of -4	$2 \cdot \sqrt{- 4}$
202843	Simplify	1/2x^2+x+1/2+2x+1/2x^2	$\frac{1}{2} x^{2} + x + \frac{1}{2} + 2 x + \frac{1}{2} x^{2}$
202844	Solve the System of Inequalities	x>-2 and y<-1	$x > - 2$ and $y < - 1$
202845	Simplify	5 square root of x^8y^3*5 square root of 2x^5y^4	$5 \sqrt{x^{8} y^{3}} \cdot 5 \sqrt{2 x^{5} y^{4}}$
202846	Simplify	y^2 cube root of 16x^11y^10	$y^{2} \sqrt[3]{16 x^{11} y^{10}}$
202847	Simplify	square root of 5( square root of 20- square root of 30)+ square root of 6	$\sqrt{5} (\sqrt{20} - \sqrt{30}) + \sqrt{6}$
202848	Graph	y<=1/3x+2 y>x y<=1	$y \leq \frac{1}{3} x + 2$ $y > x$ $y \leq 1$
202849	Simplify	((2x-9)/(3x))÷(4x-18)	$(\frac{2 x - 9}{3 x}) \div (4 x - 18)$
202850	Simplify	7x^(3/2)*-14x^(1/3)	$7 x^{\frac{3}{2}} \cdot - 14 x^{\frac{1}{3}}$
202851	Simplify the Radical Expression	1/( fourth root of 5)	$\frac{1}{\sqrt[4]{5}}$
202852	Simplify	((2x^3)/5)((3x^2)/4)	$(\frac{2 x^{3}}{5}) (\frac{3 x^{2}}{4})$
202853	Divide	(24k^3+2k^2+24k)÷6	$(24 k^{3} + 2 k^{2} + 24 k) \div 6$
202854	Simplify	((25x^4)^(1/2))/(15x^2)	$\frac{{(25 x^{4})}^{\frac{1}{2}}}{15 x^{2}}$
202855	Solve the System of Equations	x^2+y^2=16 x^2-y^2=20	$x^{2} + y^{2} = 16$ $x^{2} - y^{2} = 20$
202856	Solve by Addition/Elimination	4y=-3-x 7x-4y=43	$4 y = - 3 - x$ $7 x - 4 y = 43$
202857	Simplify	2x*3/(x+4)	$2 x \cdot \frac{3}{x + 4}$
202858	Find the Roots (Zeros)	x+(5x+2)^2=25(1+x^2)	$x + {(5 x + 2)}^{2} = 25 (1 + x^{2})$
202859	Simplify	(-64)(1/3)	$(- 64) (\frac{1}{3})$
202860	Solve for p	6+15p-15=17p+19	$6 + 15 p - 15 = 17 p + 19$
202861	Solve for x	x/9+(2x)/2=1/3	$\frac{x}{9} + \frac{2 x}{2} = \frac{1}{3}$
202862	Find the Product	x^2(2x^2+4x-3)	$x^{2} (2 x^{2} + 4 x - 3)$
202863	Find the x and y Intercepts	(x+6)y=9	$(x + 6) y = 9$
202864	Simplify	(x+(y-2))^2	${(x + (y - 2))}^{2}$
202865	Find the Domain and Range	x^2-4x-5=0	$x^{2} - 4 x - 5 = 0$
202866	Graph	yy>=-1/2x+5	$y \cdot y \geq - \frac{1}{2} x + 5$
202867	Simplify	(-10a^2+6a^3+3a)+(-6a^3-4a+8a^2)	$(- 10 a^{2} + 6 a^{3} + 3 a) + (- 6 a^{3} - 4 a + 8 a^{2})$
202868	Simplify	((1/16)^(-2/3))^(3/4)	${({(\frac{1}{16})}^{- \frac{2}{3}})}^{\frac{3}{4}}$
202869	Solve for x	(3x/2)(3x/4)=3^6	$(3 \frac{x}{2}) (3 \frac{x}{4}) = 3^{6}$
202870	Simplify	(15 square root of 3-5 square root of 18)/(3 square root of 12)	$\frac{15 \sqrt{3} - 5 \sqrt{18}}{3 \sqrt{12}}$
202871	Solve for x	7^(2-x)+7^(-x)=50	$7^{2 - x} + 7^{- x} = 50$
202872	Factor	3mx-nx-3my+ny	$3 m x - n x - 3 m y + n y$
202873	Solve for x	3x(x-1)=(3x-3)(x+5)	$3 x (x - 1) = (3 x - 3) (x + 5)$
202874	Find the End Behavior	p(x)=x(x+3)(x-2)	$p (x) = x (x + 3) (x - 2)$
202875	Solve for x	square root of 4x^2-12x+9<=9	$\sqrt{4 x^{2} - 12 x + 9} \leq 9$
202876	Simplify	((2m^2)^3(3n^4)^3)/(9m^4n^7)-18m^2n^5	$\frac{{(2 m^{2})}^{3} {(3 n^{4})}^{3}}{9 m^{4} n^{7}} - 18 m^{2} n^{5}$
202877	Simplify	1/2x^3-1/4x^3	$\frac{1}{2} x^{3} - \frac{1}{4} x^{3}$
202878	Subtract	(-3x^3+5x^2+10x+4)-(x^3+7x^2-3x+1)	$(- 3 x^{3} + 5 x^{2} + 10 x + 4) - (x^{3} + 7 x^{2} - 3 x + 1)$
202879	Solve for m	11m=-(-22-9m)	$11 m = - (- 22 - 9 m)$
202880	Simplify	5/(z-1)*(3z-3)/10	$\frac{5}{z - 1} \cdot \frac{3 z - 3}{10}$
202881	Graph	4x+3>15 or -6x>=12	$4 x + 3 > 15$ or $- 6 x \geq 12$
202882	Simplify	( square root of 3+ square root of 2)( square root of 3+ square root of 5)	$(\sqrt{3} + \sqrt{2}) (\sqrt{3} + \sqrt{5})$
202883	Solve for m	-6m=-8-7m	$- 6 m = - 8 - 7 m$
202884	Write in Standard Form	6+7x-4x^3+x^2	$6 + 7 x - 4 x^{3} + x^{2}$
202885	Solve for x	(1/7)^(3x^2+3x)=49^(-6x+3)	${(\frac{1}{7})}^{3 x^{2} + 3 x} = 49^{- 6 x + 3}$
202886	Solve for x	1/2(7x-6)=6x-10	$\frac{1}{2} (7 x - 6) = 6 x - 10$
202887	Write in Slope-Intercept Form	2x+3y<0	$2 x + 3 y < 0$
202888	Combine Like Terms	(x^2+10x)+(4x-1)	$(x^{2} + 10 x) + (4 x - 1)$
202889	Multiply	square root of 3( square root of 3+2)	$\sqrt{3} (\sqrt{3} + 2)$
202890	Factor	(x^3-y^3)/(x^2-y^2)	$\frac{x^{3} - y^{3}}{x^{2} - y^{2}}$
202891	Simplify	square root of 12* fifth root of 12^3	$\sqrt{12} \cdot \sqrt[5]{12^{3}}$
202892	Solve for r	-4+2r-5r=17	$- 4 + 2 r - 5 r = 17$
202893	Simplify	5c(2c^2-3c+4)+2c(7c-8)	$5 c (2 c^{2} - 3 c + 4) + 2 c (7 c - 8)$
202894	Simplify	(-2a^3*(-a^4))^2(-6a^2)	${(- 2 a^{3} \cdot (- a^{4}))}^{2} (- 6 a^{2})$
202895	Simplify	(-5cd)(-3c^4d)-(7c^2d^2)(2c^3)	$(- 5 c d) (- 3 c^{4} d) - (7 c^{2} d^{2}) (2 c^{3})$
202896	Simplify	(9^(2/3)*3^(5/3))/(6^2)	$\frac{9^{\frac{2}{3}} \cdot 3^{\frac{5}{3}}}{6^{2}}$
202897	Simplify	((128x^5)/(8x))^(1/4)	${(\frac{128 x^{5}}{8 x})}^{\frac{1}{4}}$
202898	Simplify	(2x^2+3x+7)-(4x-2x^2+9)	$(2 x^{2} + 3 x + 7) - (4 x - 2 x^{2} + 9)$
202899	Graph	(- square root of 3,-1)	$(- \sqrt{3}, - 1)$
202900	Solve for b	3ab-15b-7a+35=0	$3 a b - 15 b - 7 a + 35 = 0$