Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
186501	Graph	(1/3)^(-x)	${(\frac{1}{3})}^{- x}$
186502	Simplify	(3x^2y)(5x)	$(3 x^{2} y) (5 x)$
186503	Multiply	(1-cos(x))(1+cos(x))	$(1 - \cos (x)) (1 + \cos (x))$
186504	Solve for x	(8x)/(x-3)-3=1/x	$\frac{8 x}{x - 3} - 3 = \frac{1}{x}$
186505	Find the Domain and Range	f(x)=-5/2\|x-4\|	$f (x) = - \frac{5}{2} \| x - 4 \|$
186506	Solve for x	2/3x^2=24	$\frac{2}{3} x^{2} = 24$
186507	Solve for r	5\|2r+3\|-5=0	$5 \| 2 r + 3 \| - 5 = 0$
186508	Solve for r	3r-9c=2r+18c	$3 r - 9 c = 2 r + 18 c$
186509	Graph Using a Table of Values	y=6/x	$y = \frac{6}{x}$
186510	Write the Fraction in Simplest Form	(2/3)^-2	${(\frac{2}{3})}^{- 2}$
186511	Simplify	8/(6n-4)*(9n^2-4)	$\frac{8}{6 n - 4} \cdot (9 n^{2} - 4)$
186512	Solve for m	m^2-1=0	$m^{2} - 1 = 0$
186513	Find the Quotient	(x^3-2x^2-8)÷(x+2)	$(x^{3} - 2 x^{2} - 8) \div (x + 2)$
186514	Graph	y>=x^2+7	$y \geq x^{2} + 7$
186515	Factor	27x^3-(x-y)^3	$27 x^{3} - {(x - y)}^{3}$
186516	Solve for m	2* log of m = log of 36	$2 \cdot \log (m) = \log (36)$
186517	Solve for w	4.5w=5.1w-30	$4.5 w = 5.1 w - 30$
186518	Combine Like Terms	(8x+3z-8z^2)+(4y-5z)	$(8 x + 3 z - 8 z^{2}) + (4 y - 5 z)$
186519	Graph	9+3x>=-6	$9 + 3 x \geq - 6$
186520	Solve the System of Equations	-x+y=-2 4x-4y=8	$- x + y = - 2$ $4 x - 4 y = 8$
186521	Find the Roots (Zeros)	f(x)=1/3(x+5)(x-1)	$f (x) = \frac{1}{3} (x + 5) (x - 1)$
186522	Evaluate	1-2(12/13)^2	$1 - 2 {(\frac{12}{13})}^{2}$
186523	Solve for x	cube root of 9x-17 = cube root of 4x+13	$\sqrt[3]{9 x - 17} = \sqrt[3]{4 x + 13}$ ?
186524	Graph	f(x)=-(x+3)^2+1/4	$f (x) = - {(x + 3)}^{2} + \frac{1}{4}$
186525	Solve the Inequality for x	-9<=x-4<=6	$- 9 \leq x - 4 \leq 6$
186526	Evaluate	-cot(pi/2)csc(pi/2)	$- \cot (\frac{π}{2}) \csc (\frac{π}{2})$
186527	Simplify	a^2b(3a^2+4ab^2)	$a^{2} b (3 a^{2} + 4 a b^{2})$
186528	Evaluate	4/7(2/3)^2+8/9	$\frac{4}{7} {(\frac{2}{3})}^{2} + \frac{8}{9}$
186529	Divide Using Synthetic Division	(3x^3-4x^2+5)/(x-3/2)	$\frac{3 x^{3} - 4 x^{2} + 5}{x - \frac{3}{2}}$
186530	Simplify	-1^0	$- 1^{0}$
186531	Graph	y=-(1/2x)^3+5	$y = - {(\frac{1}{2} x)}^{3} + 5$
186532	Simplify	((x^2-2x-8)/(3x-12))÷((x^2-4)/(6x^2-12x))	$\frac{x^{2} - 2 x - 8}{3 x - 12} \div \frac{x^{2} - 4}{6 x^{2} - 12 x}$
186533	Factor	ax^2-16a	$a x^{2} - 16 a$
186534	Find f(g(x))	f(x)=2x^2-7x-7 g(x)=x+1	$f (x) = 2 x^{2} - 7 x - 7$ $g (x) = x + 1$
186535	Solve for θ	sec(theta)+2=0	$\sec (θ) + 2 = 0$
186536	Find the x and y Intercepts	R(x)=3/(x^2-4)	$R (x) = \frac{3}{x^{2} - 4}$
186537	Evaluate	7/(2(x-6)^2-4)	$\frac{7}{2 {(x - 6)}^{2} - 4}$
186538	Find the x and y Intercepts	(-3x^2+3x)/(5x^2-30x+25)	$\frac{- 3 x^{2} + 3 x}{5 x^{2} - 30 x + 25}$
186539	Find the Quotient	(3x^4-x^2)/(x^3-x^2+1)	$\frac{3 x^{4} - x^{2}}{x^{3} - x^{2} + 1}$
186540	Evaluate	square root of 9x square root of 8x cube root of 8x^3	$\sqrt{9 x \sqrt{8 x \sqrt[3]{8 x^{3}}}}$
186541	Simplify	( cube root of 2x-15)^3-6	${(\sqrt[3]{2 x - 15})}^{3} - 6$
186542	Simplify	(6+7i)-4i(6+5i)	$(6 + 7 i) - 4 i (6 + 5 i)$
186543	Solve for x	2(3x+7)+x=70	$2 (3 x + 7) + x = 70$
186544	Multiply	x^3*-1	$x^{3} \cdot - 1$
186545	Solve for a	x^2 cube root of x=x^a	$x^{2} \sqrt[3]{x} = x^{a}$
186546	Simplify	(-7/(x^2))/(10/(3x))	$\frac{\frac{- 7}{x^{2}}}{\frac{10}{3 x}}$
186547	Solve for x	6+8(x-1)=2(3x+4)	$6 + 8 (x - 1) = 2 (3 x + 4)$
186548	Find the Equation Using Point-Slope Formula	(4,2) , slope=3	$(4, 2)$ , $s l o p e = 3$
186549	Evaluate the Function	f(x)=-x^2+1 for x=-3	$f (x) = - x^{2} + 1$ for $x = - 3$
186550	Solve the Inequality for x	9(x+2)>9(x-3)	$9 (x + 2) > 9 (x - 3)$
186551	Simplify	fourth root of 10^5x	$\sqrt[4]{10^{5} x}$
186552	Solve for x	4\|x+2\|-2<=50	$4 \| x + 2 \| - 2 \leq 50$
186553	Solve the Inequality for x	30>=-30-6x	$30 \geq - 30 - 6 x$
186554	Simplify	( square root of (4x^2)/(2^4))( square root of (9x^4)/(3^6))	$(\sqrt{\frac{4 x^{2}}{2^{4}}}) (\sqrt{\frac{9 x^{4}}{3^{6}}})$
186555	Solve the System of Inequalities	-4<(2x-3)/3<4	$- 4 < \frac{2 x - 3}{3} < 4$
186556	Simplify	(2b^2-6)+(4b+7)-(b^2+5b-3)	$(2 b^{2} - 6) + (4 b + 7) - (b^{2} + 5 b - 3)$
186557	Find the Domain and Range	y=(x^2-3x-4)/(x+1)	$y = \frac{x^{2} - 3 x - 4}{x + 1}$
186558	Graph	x+y=8 x-y=6	$x + y = 8$ $x - y = 6$
186559	Simplify	(x^(4/7)*x^(3/7))/(x^(1/7))	$\frac{x^{\frac{4}{7}} \cdot x^{\frac{3}{7}}}{x^{\frac{1}{7}}}$
186560	Graph	f(x)=x+3 for x<=0	$f (x) = x + 3$ for $x \leq 0$
186561	Write in Exponential Form	( cube root of x)^5	${(\sqrt[3]{x})}^{5}$
186562	Simplify	9b(b-1)-(3b+2)^2	$9 b (b - 1) - {(3 b + 2)}^{2}$
186563	Graph	p(x)=(x^2-9)(x^2+x-2)	$p (x) = (x^{2} - 9) (x^{2} + x - 2)$
186564	Evaluate	1/(2(2)^(1/2))	$\frac{1}{2 {(2)}^{\frac{1}{2}}}$
186565	Factor	xy+x^2	$x y + x^{2}$
186566	Solve the Inequality for x	x^2-6x+9<16	$x^{2} - 6 x + 9 < 16$
186567	Simplify	(4x^2+12x-112)/(x^4+x^3-42x^2)*(x^2-9x+18)/(x^2-7x+12)	$\frac{4 x^{2} + 12 x - 112}{x^{4} + x^{3} - 42 x^{2}} \cdot \frac{x^{2} - 9 x + 18}{x^{2} - 7 x + 12}$
186568	Write in Standard Form	3(x+5)^2-5=0	$3 {(x + 5)}^{2} - 5 = 0$
186569	Subtract	3/(2x^2-x-3)-2/(x^2-5x-6)	$\frac{3}{2 x^{2} - x - 3} - \frac{2}{x^{2} - 5 x - 6}$
186570	Evaluate	-(5-3)^2+(8+2)-3(4-1)^2	$- {(5 - 3)}^{2} + (8 + 2) - 3 {(4 - 1)}^{2}$
186571	Solve the System of Inequalities	3x-8<=23 ; OR , -4x+26>=6	$3 x - 8 \leq 23$ ; OR , $- 4 x + 26 \geq 6$
186572	Solve for u	1/3u^2+2/3u=-1/12	$\frac{1}{3} u^{2} + \frac{2}{3} u = - \frac{1}{12}$
186573	Solve for d	3.2-4d=2.3d+3	$3.2 - 4 d = 2.3 d + 3$
186574	Factor	12x^3-35x-x^5	$12 x^{3} - 35 x - x^{5}$
186575	Solve the Inequality for x	(x-5)^2(x+2)<0	${(x - 5)}^{2} (x + 2) < 0$
186576	Find the Domain and Range	(x^2-4)/(x+2)	$\frac{x^{2} - 4}{x + 2}$
186577	Find the x and y Intercepts	f(x)=-7x-2-2x^2-2x^4+5x^3	$f (x) = - 7 x - 2 - 2 x^{2} - 2 x^{4} + 5 x^{3}$
186578	Solve for x	16(1-2x)^2-6=-5	$16 {(1 - 2 x)}^{2} - 6 = - 5$
186579	Graph Using a Table of Values	y=tan(x)	$y = \tan (x)$
186580	Solve the Inequality for x	3x-4+x/4<(5x)/2+2	$3 x - 4 + \frac{x}{4} < \frac{5 x}{2} + 2$
186581	Solve for x	x-2/(x-3)=(x-1)/(3-x)	$x - \frac{2}{x - 3} = \frac{x - 1}{3 - x}$
186582	Graph	x=x	$x = x$
186583	Solve for x	(2x)/(x+1)+1/(x^2+x)=-3/(x+1)	$\frac{2 x}{x + 1} + \frac{1}{x^{2} + x} = - \frac{3}{x + 1}$
186584	Graph Using a Table of Values	f(x)=-3x^2	$f (x) = - 3 x^{2}$
186585	Solve for x	3x+10+6x-10=180	$3 x + 10 + 6 x - 10 = 180$
186586	Evaluate	(62)÷((-1)^(45-(8+3)))	$6 \cdot 2 \div {(- 1)}^{4 \cdot 5 - (8 + 3)}$
186587	Solve the Inequality for x	3-(x-6)<=4x-5	$3 - (x - 6) \leq 4 x - 5$
186588	Find All Complex Solutions	tan(theta)=(2 square root of 3)/3sin(theta)	$\tan (θ) = \frac{2 \sqrt{3}}{3} \sin (θ)$
186589	Find the Exact Value	(-5tw^2)/(-10t^2w)	$\frac{(- 5 t w^{2})}{(- 10 t^{2} w)}$
186590	Solve for x	log base -2x-3 of 3x^2-18=2	$\log_{- 2 x - 3} (3 x^{2} - 18) = 2$
186591	Solve the Rational Equation for x	x+8/(x-2)=1+(4x)/(x-2)	$x + \frac{8}{x - 2} = 1 + \frac{4 x}{x - 2}$
186592	Simplify	(sin(theta)cos(theta))/(1-(cos(theta)-sin(theta))(cos(theta)-sin(theta)))	$\frac{\sin (θ) \cos (θ)}{1 - (\cos (θ) - \sin (θ)) (\cos (θ) - \sin (θ))}$
186593	Solve Using the Quadratic Formula	3m+8=15	$3 m + 8 = 15$
186594	Graph	y=- square root of 2x-4	$y = - \sqrt{2 x} - 4$
186595	Solve for x	(3x+7)/4-(2x+4)/3=1/12	$\frac{3 x + 7}{4} - \frac{2 x + 4}{3} = \frac{1}{12}$
186596	Find the Inverse	y = square root of x+8 , y>=8	$y = \sqrt{x} + 8$ , $y \geq 8$
186597	Factor	(2a-3b)^2(5a-7b)^3-(2a-3b)^3(5a-7b)^2	${(2 a - 3 b)}^{2} {(5 a - 7 b)}^{3} - {(2 a - 3 b)}^{3} {(5 a - 7 b)}^{2}$
186598	Evaluate	12-(-25)-53	$12 - (- 2 \cdot 5) - 5 \cdot 3$
186599	Graph	y=f(x)+8	$y = f (x) + 8$
186600	Write in Standard Form	(x+1)^3	${(x + 1)}^{3}$