Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
202901	Find All Complex Solutions	log base x of x+6=2	$\log_{x} (x + 6) = 2$
202902	Solve for x	6^(4x+7)*1/36=1	$6^{4 x + 7} \cdot \frac{1}{36} = 1$
202903	Solve for x	(2x)/15-1/6=x/5	$\frac{2 x}{15} - \frac{1}{6} = \frac{x}{5}$
202904	Solve for x	square root of x=-8+2 square root of x	$\sqrt{x} = - 8 + 2 \sqrt{x}$
202905	Simplify	( cube root of 6)÷( fourth root of 6)	$\sqrt[3]{6} \div \sqrt[4]{6}$
202906	Solve for y	x/(4-2x)=y/(2(x^2-4))	$\frac{x}{4 - 2 x} = \frac{y}{2 (x^{2} - 4)}$
202907	Simplify the Radical Expression	( square root of 2)/( square root of 6)	$\frac{\sqrt{2}}{\sqrt{6}}$
202908	Solve for a	(x+a)(x-a)=x^2-16	$(x + a) (x - a) = x^{2} - 16$
202909	Simplify	2/(4^-1)	$\frac{2}{4^{- 1}}$
202910	Solve for a	3^x-3^(x-2)=a*3^x	$3^{x} - 3^{x - 2} = a \cdot 3^{x}$
202911	Simplify	(16/3)^(-3/4)	${(\frac{16}{3})}^{- \frac{3}{4}}$
202912	Evaluate	(12/4)^(4(10-8))+5	${(\frac{12}{4})}^{4 (10 - 8)} + 5$
202913	Simplify	9 square root of 2*3 square root of y	$9 \sqrt{2} \cdot 3 \sqrt{y}$
202914	Simplify	(-4x)/(12x-8)	$\frac{- 4 x}{12 x - 8}$
202915	Solve the System of Inequalities	y-1>=7 or y+3<-1	$y - 1 \geq 7$ or $y + 3 < - 1$
202916	Evaluate	log base 3 of 27+ log base 1/16 of 2	$\log_{3} (27) + \log_{\frac{1}{16}} (2)$
202917	Solve for x	4 square root of 5x-20=16	$4 \sqrt{5 x - 20} = 16$
202918	Graph	y=-x y=2/5x-7	$y = - x$ $y = \frac{2}{5} x - 7$
202919	Multiply	( square root of 3+ square root of 5)^2	${(\sqrt{3} + \sqrt{5})}^{2}$
202920	Simplify	(x/2)((x+2)/3)	$(\frac{x}{2}) (\frac{x + 2}{3})$
202921	Solve for v	3(-0.2v+0.7)+0.3=-0.6(-v+10)	$3 (- 0.2 v + 0.7) + 0.3 = - 0.6 (- v + 10)$
202922	Simplify	cube root of square root of 243x^12	$\sqrt[3]{\sqrt{243 x^{12}}}$
202923	Evaluate	7x^4=56	$7 x^{4} = 56$
202924	Solve for x	2^(x+6)=2x+15	$2^{x + 6} = 2 x + 15$
202925	Simplify	5x^2+14y-9y+x^2-7x^2-y	$5 x^{2} + 14 y - 9 y + x^{2} - 7 x^{2} - y$
202926	Solve the System of Equations	8x+2y=-12 and 5x-y=4	$8 x + 2 y = - 12$ and $5 x - y = 4$
202927	Simplify	6 square root of 5+9 cube root of 3-5 square root of 5-4 cube root of 3	$6 \sqrt{5} + 9 \sqrt[3]{3} - 5 \sqrt{5} - 4 \sqrt[3]{3}$
202928	Find the Inverse	f(x)=-3 square root of (4x-7)/3	$f (x) = - 3 \sqrt{\frac{4 x - 7}{3}}$
202929	Find the Holes in the Graph	(5x^2+25x)/(-3x^2-21x-30)	$\frac{5 x^{2} + 25 x}{- 3 x^{2} - 21 x - 30}$
202930	Expand the Logarithmic Expression	log base x of 3m(4n)	$\log_{x} (3 m) (4 n)$
202931	Solve for x	square root of x=1/7	$\sqrt{x} = \frac{1}{7}$
202932	Simplify	x^3+x^3-x^3	$x^{3} + x^{3} - x^{3}$
202933	Factor	-6x^2y+10xy^2+4y^3	$- 6 x^{2} y + 10 x y^{2} + 4 y^{3}$
202934	Find the Exact Value	cos(pi/3)^2+sin(pi/3)^2	$\cos^{2} (\frac{π}{3}) + \sin^{2} (\frac{π}{3})$
202935	Simplify	((8r^5s^2)(3r^3s^4))/(12rs^4)+9r^7s^2	$\frac{(8 r^{5} s^{2}) (3 r^{3} s^{4})}{12 r s^{4}} + 9 r^{7} s^{2}$
202936	Evaluate	10-4÷2+3*4-1	$10 - 4 \div 2 + 3 \times 4 - 1$
202937	Solve the System of Inequalities	y>-2x+5 y<=x-3	$y > - 2 x + 5$ $y \leq x - 3$
202938	Solve by Substitution	x=5 2x+y=10	$x = 5$ $2 x + y = 10$
202939	Evaluate	(718+45)÷32	$(7 \cdot 18 + 45) \div 3 \cdot 2$
202940	Find the Domain and Range	f(x)=1/2 square root of x+3	$f (x) = \frac{1}{2} \sqrt{x} + 3$
202941	Find the Degree, Leading Term, and Leading Coefficient	f(x)=9x^4-8x+x^5+3x^2	$f (x) = 9 x^{4} - 8 x + x^{5} + 3 x^{2}$
202942	Factor	49x^2-(y+8x)^2	$49 x^{2} - {(y + 8 x)}^{2}$
202943	Solve for z	12-4z=-7z	$12 - 4 z = - 7 z$
202944	Graph Using a Table of Values	y=(2/3)^x+2	$y = {(\frac{2}{3})}^{x} + 2$
202945	Divide	(16n^5+4n^4+2n^3)÷8n	$(16 n^{5} + 4 n^{4} + 2 n^{3}) \div 8 n$
202946	Solve for x	square root of 3x+3- square root of 5x-1=0	$\sqrt{3 x + 3} - \sqrt{5 x - 1} = 0$
202947	Solve for k	fourth root of 8k+12-9=-11	$\sqrt[4]{8 k + 12} - 9 = - 11$
202948	Simplify	((6a^3)(5a^9))/(-12a^14)	$\frac{(6 a^{3}) (5 a^{9})}{- 12 a^{14}}$
202949	Find the Quotient	(2x^3+x^2-11x+2)÷(x-2)	$(2 x^{3} + x^{2} - 11 x + 2) \div (x - 2)$
202950	Solve the System of Equations	2x+y=2 y=-2x-1	$2 x + y = 2$ $y = - 2 x - 1$
202951	Find the Product	(2m-3n)(m-5n)	$(2 m - 3 n) (m - 5 n)$
202952	Find the Degree, Leading Term, and Leading Coefficient	f(x)=-2x^4+3x^5-4x^3+9x^2+2x-5	$f (x) = - 2 x^{4} + 3 x^{5} - 4 x^{3} + 9 x^{2} + 2 x - 5$
202953	Multiply	-1/6(-3/5)	$- \frac{1}{6} (- \frac{3}{5})$
202954	Find the Exact Value	cos(60 degrees )+sin(45 degrees )	$\cos (60 °) + \sin (45 °)$
202955	Solve by Addition/Elimination	x+3y=5 x=-6y+14	$x + 3 y = 5$ $x = - 6 y + 14$
202956	Simplify	(9w^3)/(2w^5)+(3w^3)/(2w^5)	$\frac{9 w^{3}}{2 w^{5}} + \frac{3 w^{3}}{2 w^{5}}$
202957	Simplify the Radical Expression	cube root of 5/(3m)	$\sqrt[3]{\frac{5}{3 m}}$
202958	Solve by Addition/Elimination	5x=4y+8 3y=3x-3	$5 x = 4 y + 8$ $3 y = 3 x - 3$
202959	Solve for v	-19v=-20v-14	$- 19 v = - 20 v - 14$
202960	Simplify	4^(y+1)*4^(1-x)	$4^{y + 1} \cdot 4^{1 - x}$
202961	Simplify the Radical Expression	fourth root of 625x^2	$\sqrt[4]{625 x^{2}}$
202962	Simplify	square root of 2x* sixth root of 3x	$\sqrt{2 x} \cdot \sqrt[6]{3 x}$
202963	Simplify the Radical Expression	square root of x^5y^5*3 square root of 2x^7y^6	$\sqrt{x^{5} y^{5}} \cdot 3 \sqrt{2 x^{7} y^{6}}$
202964	Simplify	(6ab+5c)(6ab-5c)	$(6 a b + 5 c) (6 a b - 5 c)$
202965	Simplify	(5x+1)/(5x-20)+(x+17)/(20-5x)	$\frac{5 x + 1}{5 x - 20} + \frac{x + 17}{20 - 5 x}$
202966	Simplify the Radical Expression	0.04 square root of 72+0.05 square root of 98-1/5 square root of 50	$0.04 \sqrt{72} + 0.05 \sqrt{98} - \frac{1}{5} \sqrt{50}$
202967	Simplify	square root of 12-5 square root of 8-7 square root of 20	$\sqrt{12} - 5 \sqrt{8} - 7 \sqrt{20}$
202968	Solve for x	2x(x+4)+7=(x+8)+2x(x+1)+12	$2 x (x + 4) + 7 = (x + 8) + 2 x (x + 1) + 12$
202969	Simplify	1/(a^2+ab)+1/(ab+b^2)	$\frac{1}{a^{2} + a b} + \frac{1}{a b + b^{2}}$
202970	Simplify	5((5^3)/(2/5))^2	$5 {(\frac{5^{3}}{\frac{2}{5}})}^{2}$
202971	Simplify	6 cube root of -2	$6 \sqrt[3]{- 2}$
202972	Simplify	8a^-3b^2c^-2	$8 a^{- 3} b^{2} c^{- 2}$
202973	Evaluate	(-1)^4(-3)^-39^2	${(- 1)}^{4} \cdot {(- 3)}^{- 3} \cdot 9^{2}$
202974	Solve for x	x-2 = square root of x-2+12	$x - 2 = \sqrt{x - 2} + 12$
202975	Rationalize the Denominator	( square root of 6+18)/(2 square root of 3)	$\frac{\sqrt{6} + 18}{2 \sqrt{3}}$
202976	Solve for h	2(3h+9)=3(-2h+10)	$2 (3 h + 9) = 3 (- 2 h + 10)$
202977	Simplify	(2x*3x^5)^3	${(2 x \cdot 3 x^{5})}^{3}$
202978	Solve for y	y=2-9x , x=2/3	$y = 2 - 9 x$ , $x = \frac{2}{3}$
202979	Simplify	((4a^-1b^-4)^-3)/((-8a^4b^-2)^-2)	$\frac{{(4 a^{- 1} b^{- 4})}^{- 3}}{{(- 8 a^{4} b^{- 2})}^{- 2}}$
202980	Solve for x	3/(x-1)=x+1	$\frac{3}{x - 1} = x + 1$
202981	Solve for x	1/(x+5)+x/(5-x)=(2x)/(x^2-25)	$\frac{1}{x + 5} + \frac{x}{5 - x} = \frac{2 x}{x^{2} - 25}$
202982	Simplify	( square root of 5a)( square root of 2a)(3 square root of 10a^2)	$(\sqrt{5 a}) (\sqrt{2 a}) (3 \sqrt{10 a^{2}})$
202983	Simplify	((4x^(1/4)y^2)/(xy^(1/5)))^(1/2)	${(\frac{4 x^{\frac{1}{4}} y^{2}}{x y^{\frac{1}{5}}})}^{\frac{1}{2}}$
202984	Simplify the Radical Expression	2 square root of 18-2 square root of 12+2 square root of 18	$2 \sqrt{18} - 2 \sqrt{12} + 2 \sqrt{18}$
202985	Solve for j	8/j=j/2	$\frac{8}{j} = \frac{j}{2}$
202986	Evaluate	-2cos(theta)^2+sin(theta)+1=0	$- 2 \cos^{2} (θ) + \sin (θ) + 1 = 0$
202987	Solve for b	10 = square root of b/9+10	$10 = \sqrt{\frac{b}{9}} + 10$
202988	Multiply	square root of 9* square root of 4	$\sqrt{9} \cdot \sqrt{4}$
202989	Solve the Inequality for r	r-(-5)>-2	$r - (- 5) > - 2$
202990	Simplify the Radical Expression	45^(-3/2)*45^2	$45^{- \frac{3}{2}} \cdot 45^{2}$
202991	Find the Focus	y^2=4x+4	$y^{2} = 4 x + 4$
202992	Simplify	21 root of c^-3*c^-4	$\sqrt[21]{c^{- 3} \cdot c^{- 4}}$
202993	Solve for x	6^(-2x^2+4x)=(1/36)^(6x+20)	$6^{- 2 x^{2} + 4 x} = {(\frac{1}{36})}^{6 x + 20}$
202994	Rationalize the Denominator	(4x cube root of 6)/(5 cube root of 9x)	$\frac{4 x \sqrt[3]{6}}{5 \sqrt[3]{9 x}}$
202995	Divide	(11x^5+7x^3-2x)/(x^2)	$\frac{11 x^{5} + 7 x^{3} - 2 x}{x^{2}}$
202996	Solve for x	3x^(1/3)+3=5	$3 x^{\frac{1}{3}} + 3 = 5$
202997	Factor	14a^5n^4p-28a^6n	$14 a^{5} n^{4} p - 28 a^{6} n$
202998	Find the End Behavior	f(x)=70+14x^2+59x+x^3	$f (x) = 70 + 14 x^{2} + 59 x + x^{3}$
202999	Simplify	4x cube root of 64x^5	$4 x \sqrt[3]{64 x^{5}}$
203000	Find the Exact Value	(2 4/9-5 2/3)/2 1/3	$\frac{2 \frac{4}{9} - 5 \frac{2}{3}}{2 \frac{1}{3}}$