Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
126001	Rationalize the Denominator	(15 square root of 7)/(7 square root of 5)	$\frac{15 \sqrt{7}}{7 \sqrt{5}}$
126002	Rationalize the Denominator	y/( square root of 2+ square root of y)	$\frac{y}{\sqrt{2} + \sqrt{y}}$
126003	Rationalize the Denominator	x/( square root of 11- square root of 6)	$\frac{x}{\sqrt{11} - \sqrt{6}}$
126004	Rationalize the Denominator	x/( square root of 13- square root of 10)	$\frac{x}{\sqrt{13} - \sqrt{10}}$
126005	Rationalize the Denominator	(p-100)/( square root of p+10)	$\frac{p - 100}{\sqrt{p} + 10}$
126006	Rationalize the Denominator	x/( square root of 7- square root of 5)	$\frac{x}{\sqrt{7} - \sqrt{5}}$
126007	Rationalize the Denominator	(10 square root of 2)/(2 square root of 5- square root of 3)	$\frac{10 \sqrt{2}}{2 \sqrt{5} - \sqrt{3}}$
126008	Rationalize the Denominator	11/(3+ square root of 13)	$\frac{11}{3 + \sqrt{13}}$
126009	Rationalize the Denominator	(10 square root of 7)/(7 square root of 5)	$\frac{10 \sqrt{7}}{7 \sqrt{5}}$
126010	Rationalize the Denominator	2/( square root of 300)	$\frac{2}{\sqrt{300}}$
126011	Rationalize the Denominator	17/(5+ square root of 41)	$\frac{17}{5 + \sqrt{41}}$
126012	Rationalize the Denominator	(3b^2)/(2 square root of 3ab)	$\frac{3 b^{2}}{2 \sqrt{3 a b}}$
126013	Rationalize the Denominator	3/( fourth root of 2)	$\frac{3}{\sqrt[4]{2}}$
126014	Rationalize the Denominator	3/(2+ square root of 23)	$\frac{3}{2 + \sqrt{23}}$
126015	Rationalize the Denominator	2/( cube root of x^2)	$\frac{2}{\sqrt[3]{x^{2}}}$
126016	Rationalize the Denominator	(35 square root of 3)/(3 square root of 7)	$\frac{35 \sqrt{3}}{3 \sqrt{7}}$
126017	Find Amplitude, Period, and Phase Shift	6sin(x)	$6 \sin (x)$
126018	Find Where Undefined/Discontinuous	f(x)=(3x^2-12x)/(x^2-2x-3)	$f (x) = \frac{3 x^{2} - 12 x}{x^{2} - 2 x - 3}$
126019	Find the Parallel Line	(-2,5) , 2y=4x-6	$(- 2, 5)$ , $2 y = 4 x - 6$
126020	Find the Parallel Line	x=8 (-3,-2)	$x = 8$ $(- 3, - 2)$
126021	Plot	y>=10	$y \geq 10$
126022	Plot	y>=-7	$y \geq - 7$
126023	Find the Maximum/Minimum Value	c=800-10x+0.25x^2	$c = 800 - 10 x + 0.25 x^{2}$
126024	Find the Maximum/Minimum Value	h=-5t^2+30t+10	$h = - 5 t^{2} + 30 t + 10$
126025	Find the Maximum/Minimum Value	y=0.5x^2-3x+1	$y = 0.5 x^{2} - 3 x + 1$
126026	Find the Maximum/Minimum Value	y=2x^2+28x-2	$y = 2 x^{2} + 28 x - 2$
126027	Find the Maximum/Minimum Value	y=-2x^2-4x-6	$y = - 2 x^{2} - 4 x - 6$
126028	Find the Maximum/Minimum Value	y=2x^2-4x-7	$y = 2 x^{2} - 4 x - 7$
126029	Find the Maximum/Minimum Value	y=2x^2-8x-4	$y = 2 x^{2} - 8 x - 4$
126030	Find the Maximum/Minimum Value	y=32t-16t^2	$y = 32 t - 16 t^{2}$
126031	Find the Maximum/Minimum Value	c=0.3x^2-15x+300	$c = 0.3 x^{2} - 15 x + 300$
126032	Find the Maximum/Minimum Value	y=-x^2+6x+5	$y = - x^{2} + 6 x + 5$
126033	Find the Maximum/Minimum Value	y=2x^2-8x-24	$y = 2 x^{2} - 8 x - 24$
126034	Find the Leading Coefficient	5y^6	$5 y^{6}$
126035	Find the Inflection Points	f(x)=3x^4-24x^3+48x^2	$f (x) = 3 x^{4} - 24 x^{3} + 48 x^{2}$
126036	Find the Inflection Points	f(x)=(x^2+9)(81-x^2)	$f (x) = (x^{2} + 9) (81 - x^{2})$
126037	Use the Rational Roots Test to Find All Possible Roots	f(x)=55x^4-x^2+121	$f (x) = 55 x^{4} - x^{2} + 121$
126038	Use the Rational Roots Test to Find All Possible Roots	f(x)=x^5-4x^2+3x+14	$f (x) = x^{5} - 4 x^{2} + 3 x + 14$
126039	Find the Domain and Range	{(6,9),(0,7),(6,10)}	${(6, 9), (0, 7), (6, 10)}$
126040	Find the Domain and Range	(7,9) , (0,7) , (7,10)	$(7, 9)$ , $(0, 7)$ , $(7, 10)$
126041	Find the Reciprocal	-12/13	$- \frac{12}{13}$
126042	Evaluate Using the Given Value	f(0)=2(0)+7	$f (0) = 2 (0) + 7$
126043	Evaluate Using the Given Value	f(0)=0^2-0+7	$f (0) = 0^{2} - 0 + 7$
126044	Evaluate Using the Given Value	f(-5)=-5/(-5+3)	$f (- 5) = \frac{- 5}{- 5 + 3}$
126045	Evaluate Using the Given Value	f(3)=15^3	$f (3) = 15^{3}$
126046	Evaluate Using the Given Value	f(25)=2 square root of 25	$f (25) = 2 \sqrt{25}$
126047	Evaluate Using the Given Value	f(6)=-2(6)^2-3	$f (6) = - 2 {(6)}^{2} - 3$
126048	Evaluate Using the Given Value	11 , 500=pi/6d^3	$11$ , $500 = \frac{π}{6} d^{3}$
126049	Evaluate Using the Given Value	f(0)=0^2-0+8	$f (0) = 0^{2} - 0 + 8$
126050	Evaluate Using the Given Value	f(2)=0.5^2	$f (2) = {0.5}^{2}$
126051	Evaluate Using the Given Value	f(-1)=(4/3)^-1	$f (- 1) = {(\frac{4}{3})}^{- 1}$
126052	Evaluate Using the Given Value	f(3)=6	$f (3) = 6$
126053	Find the Local Maxima and Minima	f(x)=x^3+3x^2-9x	$f (x) = x^{3} + 3 x^{2} - 9 x$
126054	Find the Perfect Square Trinomial	m^2-16m+	$m^{2} - 16 m +$
126055	Find the Perfect Square Trinomial	s^2-9s	$s^{2} - 9 s$
126056	Find the Perfect Square Trinomial	n^2-28n+c	$n^{2} - 28 n + c$
126057	Find the Perfect Square Trinomial	n^2-26n+c	$n^{2} - 26 n + c$
126058	Find the Perfect Square Trinomial	v^2-6v	$v^{2} - 6 v$
126059	Find the Perfect Square Trinomial	x^2-12x+y	$x^{2} - 12 x + y$
126060	Find the Perfect Square Trinomial	r^2-20r+c	$r^{2} - 20 r + c$
126061	Find the Perfect Square Trinomial	t^2-30t	$t^{2} - 30 t$
126062	Find the Perfect Square Trinomial	n^2-8n+c	$n^{2} - 8 n + c$
126063	Find the Perfect Square Trinomial	x^2+cx+121	$x^{2} + c x + 121$
126064	Find the Perfect Square Trinomial	v^2+14v	$v^{2} + 14 v$
126065	Find the Perfect Square Trinomial	m^2+m	$m^{2} + m$
126066	Find the Perfect Square Trinomial	m^2-14m	$m^{2} - 14 m$
126067	Find the Perfect Square Trinomial	y^2-26y+c	$y^{2} - 26 y + c$
126068	Find the Perfect Square Trinomial	z^2-28z+c	$z^{2} - 28 z + c$
126069	Find the Perfect Square Trinomial	m^2-12m	$m^{2} - 12 m$
126070	Find the Perfect Square Trinomial	k^2-11k+c	$k^{2} - 11 k + c$
126071	Find the Perfect Square Trinomial	k^2+14k+n	$k^{2} + 14 k + n$
126072	Find the Perfect Square Trinomial	z^2-2z+	$z^{2} - 2 z +$
126073	Find the Perfect Square Trinomial	x^2-32x+c	$x^{2} - 32 x + c$
126074	Find the Perfect Square Trinomial	r^2-12r+c	$r^{2} - 12 r + c$
126075	Find the Perfect Square Trinomial	r^2-16r+c	$r^{2} - 16 r + c$
126076	Find the Perfect Square Trinomial	t^2-16t	$t^{2} - 16 t$
126077	Find the Perfect Square Trinomial	u^2+14u	$u^{2} + 14 u$
126078	Find the Perfect Square Trinomial	x^2-100x+c	$x^{2} - 100 x + c$
126079	Find the Perfect Square Trinomial	v^2+2v	$v^{2} + 2 v$
126080	Find the Perfect Square Trinomial	n^2+2n	$n^{2} + 2 n$
126081	Find the Mode	83 , 85 , 71 , 73 , 76 , 69 , 87 , 76 , 75 , 70 , 75 , 80 , 82 , 91 , 77	$83$ , $85$ , $71$ , $73$ , $76$ , $69$ , $87$ , $76$ , $75$ , $70$ , $75$ , $80$ , $82$ , $91$ , $77$
126082	Find the Behavior (Leading Coefficient Test)	-3(x-1)(x+5)^2	$- 3 (x - 1) {(x + 5)}^{2}$
126083	Write the Fraction in Simplest Form	( sixth root of 3)/( cube root of 3)	$\frac{\sqrt[6]{3}}{\sqrt[3]{3}}$
126084	Write the Fraction in Simplest Form	(10 root of 7)/( fifth root of 7)	$\frac{\sqrt[10]{7}}{\sqrt[5]{7}}$
126085	Write the Fraction in Simplest Form	(16 root of 3)/( eighth root of 3)	$\frac{\sqrt[16]{3}}{\sqrt[8]{3}}$
126086	Write the Fraction in Simplest Form	( cube root of 9)/( cube root of 4)	$\frac{\sqrt[3]{9}}{\sqrt[3]{4}}$
126087	Write the Fraction in Simplest Form	6 3/4÷2 5/8	$6 \frac{3}{4} \div 2 \frac{5}{8}$
126088	Write the Fraction in Simplest Form	5 2/3	$5 \frac{2}{3}$
126089	Write the Fraction in Simplest Form	25/64	$\frac{25}{64}$
126090	Write the Fraction in Simplest Form	9÷4 2/7	$9 \div 4 \frac{2}{7}$
126091	Write the Fraction in Simplest Form	(4/5)÷40	$\frac{4}{5} \div 40$
126092	Write the Fraction in Simplest Form	(1/30)÷(2/5)	$\frac{1}{30} \div \frac{2}{5}$
126093	Write the Fraction in Simplest Form	(16 root of 5)/( eighth root of 5)	$\frac{\sqrt[16]{5}}{\sqrt[8]{5}}$
126094	Write the Fraction in Simplest Form	8 2/5÷6	$8 \frac{2}{5} \div 6$
126095	Write the Fraction in Simplest Form	(3/4)÷(1/48)	$\frac{3}{4} \div \frac{1}{48}$
126096	Write the Fraction in Simplest Form	(1+ square root of -81)/( square root of -9* square root of -36)	$\frac{1 + \sqrt{- 81}}{\sqrt{- 9} \cdot \sqrt{- 36}}$
126097	Write the Fraction in Simplest Form	1 2/5	$1 \frac{2}{5}$
126098	Write the Fraction in Simplest Form	9÷(1/5)	$9 \div \frac{1}{5}$
126099	Write the Fraction in Simplest Form	40÷(5/8)	$40 \div \frac{5}{8}$
126100	Write the Fraction in Simplest Form	(9/10)÷(3/5)	$\frac{9}{10} \div \frac{3}{5}$