Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
192501	Solve for x	1/2(x-1)-(x-3)=1/3(x+3)+1/6	$\frac{1}{2} (x - 1) - (x - 3) = \frac{1}{3} (x + 3) + \frac{1}{6}$
192502	Simplify	(3 square root of b)/( square root of b+2)	$\frac{3 \sqrt{b}}{\sqrt{b} + 2}$
192503	Solve for x	3x-5x+8x+x=42	$3 x - 5 x + 8 x + x = 42$
192504	Solve for x	natural log of x+2-3=2	$\ln (x + 2) - 3 = 2$
192505	Solve for θ	-sin(theta)^2+cos(theta)^2=sin(theta)+1	$- \sin^{2} (θ) + \cos^{2} (θ) = \sin (θ) + 1$
192506	Evaluate the Function	f(x)=1/3*6^x at x=2	$f (x) = \frac{1}{3} \cdot 6^{x}$ at $x = 2$
192507	Find the First Term	a_n=4^n	$a_{n} = 4^{n}$
192508	Write the Fraction in Simplest Form	(8y^2)/(2 fourth root of y)	$\frac{8 y^{2}}{2 \sqrt[4]{y}}$
192509	Solve the Rational Equation for x	3x=(5x+6)/(2x+3)	$3 x = \frac{5 x + 6}{2 x + 3}$
192510	Find the Product	(1/2-c)(1/2+c)	$(\frac{1}{2} - c) (\frac{1}{2} + c)$
192511	Solve for x	3(x-4)=-1/2(24-6x)	$3 (x - 4) = - \frac{1}{2} (24 - 6 x)$
192512	Simplify	-x(x^3-4)+3x^4-3x(x-1)	$- x (x^{3} - 4) + 3 x^{4} - 3 x (x - 1)$
192513	Write in Standard Form	y/2+x/8=1	$\frac{y}{2} + \frac{x}{8} = 1$
192514	Solve for x	2x+(1-x)/4=3	$2 x + \frac{1 - x}{4} = 3$
192515	Divide	(4x)÷4	$4 x \div 4$
192516	Graph	f(x)=0 if x<-3; -2x if -3<=x<0; x^2 if x>=0	$f (x) = {\begin{cases} 0 & x < - 3 \\ - 2 x & - 3 \leq x < 0 \\ x^{2} & x \geq 0 \end{cases}$
192517	Find the End Behavior	f(x)=544x^2-112x^3+8x^4+768-1088x	$f (x) = 544 x^{2} - 112 x^{3} + 8 x^{4} + 768 - 1088 x$
192518	Evaluate	pi/4-(3pi)/4	$\frac{π}{4} - \frac{3 π}{4}$
192519	Solve for x	7+(4x)/9=x/2	$7 + \frac{4 x}{9} = \frac{x}{2}$
192520	Solve the System of Equations	x+y=0 3x-2y=10	$x + y = 0$ $3 x - 2 y = 10$
192521	Evaluate	(654)/(321)	$\frac{6 \cdot 5 \cdot 4}{3 \cdot 2 \cdot 1}$
192522	Solve for θ	4cos(theta)^2-4cos(theta)+1=0	$4 \cos^{2} (θ) - 4 \cos (θ) + 1 = 0$
192523	Find the Domain and Range	y=-1/5sin(5x)	$y = - \frac{1}{5} \sin (5 x)$
192524	Evaluate	log base w of ((x^2-6)^4)/( cube root of x^2+8)	$\log_{w} (\frac{{(x^{2} - 6)}^{4}}{\sqrt[3]{x^{2} + 8}})$
192525	Find the LCM	15 and 20	$15$ and $20$
192526	Solve for a	-2/3a+10=2/3a-6	$- \frac{2}{3} a + 10 = \frac{2}{3} a - 6$
192527	Simplify	( square root of 5+ square root of 180)( square root of 8- square root of 2)	$(\sqrt{5} + \sqrt{180}) (\sqrt{8} - \sqrt{2})$
192528	Solve for x	square root of 8x=x	$\sqrt{8 x} = x$
192529	Solve the System of Inequalities	-15x+4<=109 ; OR , -6x+70>-2	$- 15 x + 4 \leq 109$ ; OR , $- 6 x + 70 > - 2$
192530	Solve the System of Inequalities	-3y>9 or 2y-6>2	$- 3 y > 9$ or $2 y - 6 > 2$
192531	Simplify	9/(x^2-8x-9)-2/(x^2-81)	$\frac{9}{x^{2} - 8 x - 9} - \frac{2}{x^{2} - 81}$
192532	Simplify	(((4x^3y^4)^3)/((8xy^2)^2))^2	${(\frac{{(4 x^{3} y^{4})}^{3}}{{(8 x y^{2})}^{2}})}^{2}$
192533	Solve the System of Equations	3x-y=3 -3x+y=3	$3 x - y = 3$ $- 3 x + y = 3$
192534	Find All Complex Solutions	(cot(theta)-1)(sin(theta)+1)=0	$(\cot (θ) - 1) (\sin (θ) + 1) = 0$
192535	Solve for a	(x^(1/6))^5 fourth root of x^3=x^a	${(x^{\frac{1}{6}})}^{5} \sqrt[4]{x^{3}} = x^{a}$
192536	Solve for x	2x+4/5(5x-5/4)=-2x-(-4x+10)	$2 x + \frac{4}{5} (5 x - \frac{5}{4}) = - 2 x - (- 4 x + 10)$
192537	Solve for a	ab=-3a+1	$a b = - 3 a + 1$
192538	Solve for s	2s=6t+8w	$2 s = 6 t + 8 w$
192539	Solve for x	4.6x-7=4x-(-x+1)+5.3	$4.6 x - 7 = 4 x - (- x + 1) + 5.3$
192540	Determine if Perpendicular	x-2y=18 2x+y=6	$x - 2 y = 18$ $2 x + y = 6$
192541	Write the Fraction in Simplest Form	arccos(cos((4pi)/5))	$\arccos (\cos (\frac{4 π}{5}))$
192542	Factor	4a^2b^2-25m^2n^2	$4 a^{2} b^{2} - 25 m^{2} n^{2}$
192543	Simplify	3/8+1/8+2/3-1/2	$\frac{3}{8} + \frac{1}{8} + \frac{2}{3} - \frac{1}{2}$
192544	Solve the System of Equations	y=-4x 8x-y=6	$y = - 4 x$ $8 x - y = 6$
192545	Graph	f(x)=1/2(x-2)^4	$f (x) = \frac{1}{2} {(x - 2)}^{4}$
192546	Solve the Inequality for x	-(2x-3)<=4-(2x+4)	$- (2 x - 3) \leq 4 - (2 x + 4)$
192547	Evaluate	log base 3 of x=-2	$\log_{3} (x) = - 2$
192548	Solve the Rational Equation for x	5/(x-3)>3/(x+1)	$\frac{5}{x - 3} > \frac{3}{x + 1}$
192549	Find the End Behavior	f(x)=42x^5-231x^4-966x^3-7840+2772x^2+3192x+7x^6	$f (x) = 42 x^{5} - 231 x^{4} - 966 x^{3} - 7840 + 2772 x^{2} + 3192 x + 7 x^{6}$
192550	Solve for x	-2x(7x+8)(49x^2-100)=0	$- 2 x (7 x + 8) (49 x^{2} - 100) = 0$
192551	Simplify	(-7/(x+7)-2/(x+6))/(-6/(x+7))	$\frac{- \frac{7}{x + 7} - \frac{2}{x + 6}}{- \frac{6}{x + 7}}$
192552	Graph	5x+2y>3 y<x	$5 x + 2 y > 3$ $y < x$
192553	Solve for z	2/(z+1)-1/(z-1)=-2/(z^2-1)	$\frac{2}{z + 1} - \frac{1}{z - 1} = \frac{- 2}{z^{2} - 1}$
192554	Solve for x	5^(2x)<125^(x-5)	$5^{2 x} < 125^{x - 5}$
192555	Graph	(f+g)(1)	$(f + g) (1)$
192556	Graph	f(x)=sin((2x)/3)	$f (x) = \sin (\frac{2 x}{3})$
192557	Solve for x	(x^2-4)/(x-2)=2	$\frac{x^{2} - 4}{x - 2} = 2$
192558	Write in Standard Form	(x-5)^2=2x+3	${(x - 5)}^{2} = 2 x + 3$
192559	Find the Product	cube root of 5* square root of 2	$\sqrt[3]{5} \cdot \sqrt{2}$
192560	Solve for θ	2cos(theta)^2+sin(theta)=1	$2 \cos^{2} (θ) + \sin (θ) = 1$
192561	Convert to Radical Form	(x-1)^(1/2)	${(x - 1)}^{\frac{1}{2}}$
192562	Evaluate the Function	f(x)=3x+2 when x=0	$f (x) = 3 x + 2$ when $x = 0$
192563	Solve the Inequality for n	2n-3>=5n-6	$2 n - 3 \geq 5 n - 6$
192564	Find the Product	(2m+n)^3	${(2 m + n)}^{3}$
192565	Evaluate	-2^(-(-1))	$- 2^{- (- 1)}$
192566	Evaluate	5/(2(x-4)^2-6)	$\frac{5}{2 {(x - 4)}^{2} - 6}$
192567	Divide	9x^2-18x-7÷(3x+1)	$9 x^{2} - 18 x - 7 \div (3 x + 1)$
192568	Solve for x	3/(1-x)+1/(1+x)=28/(1-x^2)	$\frac{3}{1 - x} + \frac{1}{1 + x} = \frac{28}{1 - x^{2}}$
192569	Graph	h(x)=f(x)+2	$h (x) = f (x) + 2$
192570	Solve for r	20r^2+11r-3=0	$20 r^{2} + 11 r - 3 = 0$
192571	Factor by Grouping	9x^2-16y^2	$9 x^{2} - 16 y^{2}$
192572	Find the Domain and Range	F(x)=10/( square root of 1-x)	$F (x) = \frac{10}{\sqrt{1 - x}}$
192573	Combine Like Terms	4(-5z+2)+(-6)	$4 (- 5 z + 2) + (- 6)$
192574	Find the Product	(x^10+10y^12)^2	${(x^{10} + 10 y^{12})}^{2}$
192575	Write in Standard Form	-3x+17x^4+2x^2	$- 3 x + 17 x^{4} + 2 x^{2}$
192576	Solve for h	y=a cube root of x-h+k	$y = a \sqrt[3]{x - h} + k$
192577	Evaluate	2 permute 3	${}_{2}P_{3}$
192578	Simplify	(x+2/3)^2	${(x + \frac{2}{3})}^{2}$
192579	Simplify	(-3y)(-5x^2y^3)^3	$(- 3 y) {(- 5 x^{2} y^{3})}^{3}$
192580	Simplify	-2/( square root of 2)	$\frac{- 2}{\sqrt{2}}$
192581	Describe the Transformation	y=4x^2-5	$y = 4 x^{2} - 5$
192582	Solve for x	2x^2=x	$2 x^{2} = x$
192583	Find the Distance Between Two Points	(-6,5) and (3,-7)	$(- 6, 5)$ and $(3, - 7)$
192584	Evaluate	log base a of MN	$\log_{a} (M N)$
192585	Find the Holes in the Graph	(5x+5)/(-x^2-2x-1)	$\frac{5 x + 5}{- x^{2} - 2 x - 1}$
192586	Graph	y-x^2	$y - x^{2}$
192587	Find the Distance Between Two Points	(4,4) and (8,-3)	$(4, 4)$ and $(8, - 3)$
192588	Simplify	(10^2*7^5)^5	${(10^{2} \cdot 7^{5})}^{5}$
192589	Convert to Interval Notation	-3<=x	$- 3 \leq x$
192590	Write in Standard Form	(2x-3)(4x-5)=-6	$(2 x - 3) (4 x - 5) = - 6$
192591	Solve for w	4w^2+4w+1=75	$4 w^{2} + 4 w + 1 = 75$
192592	Write the Fraction in Simplest Form	cube root of 8x^2y^6	$\sqrt[3]{8 x^{2} y^{6}}$
192593	Solve for x	-7x+8/5(-5/4x-2)=3x	$- 7 x + \frac{8}{5} (- \frac{5}{4} x - 2) = 3 x$
192594	Simplify	3- square root of 49+(2(3+4^2))÷(1/2)	$3 - \sqrt{49} + 2 (3 + 4^{2}) \div \frac{1}{2}$
192595	Solve for y	10(1-2y)=-5(2y-1)	$10 (1 - 2 y) = - 5 (2 y - 1)$
192596	Simplify	(6x)/(6y)	$\frac{6 x}{6 y}$
192597	Evaluate Using the Given Value	4(x-3)+5x-x^2 for x=2	$4 (x - 3) + 5 x - x^{2}$ for $x = 2$
192598	Find the Function	f(x) = square root of x+6	$f (x) = \sqrt{x + 6}$
192599	Simplify	((3x+4)/(xy))/((x^2+5)/(xy))	$\frac{\frac{3 x + 4}{x y}}{\frac{x^{2} + 5}{x y}}$
192600	Solve the Absolute Value Inequality for x	\|x^2+x-1\|=1	$\| x^{2} + x - 1 \| = 1$