Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
19501	Find the Domain and Range	f(x) = log of x+6-4	$f (x) = \log (x + 6) - 4$
19502	Find the Discriminant	3x^2+6x=2	$3 x^{2} + 6 x = 2$
19503	Find the Domain	3( square root of x)+2	$3 (\sqrt{x}) + 2$
19504	Find the Domain	3x+ square root of x-4	$3 x + \sqrt{x - 4}$
19505	Simplify	(3x-2)(2x-3)	$(3 x - 2) (2 x - 3)$
19506	Find the Domain	4( square root of x)+1	$4 (\sqrt{x}) + 1$
19507	Simplify	(3x-2)(3x-2)	$(3 x - 2) (3 x - 2)$
19508	Find the Domain	4x+13	$4 x + 13$
19509	Simplify	(3i)(-2i)(5i)	$(3 i) (- 2 i) (5 i)$
19510	Simplify	(-3i)(4i)(-5i)	$(- 3 i) (4 i) (- 5 i)$
19511	Find the Domain	5x+12	$5 x + 12$
19512	Simplify	(2x-3)(3x-5)	$(2 x - 3) (3 x - 5)$
19513	Find the Domain	7x-5	$7 x - 5$
19514	Simplify	(2x+4)(2x-4)	$(2 x + 4) (2 x - 4)$
19515	Find the Domain	9 square root of x+4	$9 \sqrt{x} + 4$
19516	Simplify	(5+9i)(5-9i)	$(5 + 9 i) (5 - 9 i)$
19517	Find the Domain	natural log of 1/(x+2)	$\ln (\frac{1}{x + 2})$
19518	Simplify	(4-i)(2+5i)	$(4 - i) (2 + 5 i)$
19519	Simplify	(28-4i)-(10-30i)	$(28 - 4 i) - (10 - 30 i)$
19520	Find the Domain	natural log of (x-6)^2	$\ln ({(x - 6)}^{2})$
19521	Find the Domain	natural log of (x-8)^2	$\ln ({(x - 8)}^{2})$
19522	Solve for n	9/(n^2+1)=(n+3)/4	$\frac{9}{n^{2} + 1} = \frac{n + 3}{4}$
19523	Find the Domain	log of (x+3)/(x-2)	$\log (\frac{x + 3}{x - 2})$
19524	Find the Domain	log of x-8	$\log (x - 8)$
19525	Multiply	cube root of 24* cube root of 45	$\sqrt[3]{24} \cdot \sqrt[3]{45}$
19526	Find the Domain	x^4+16x^2+72	$x^{4} + 16 x^{2} + 72$
19527	Simplify	( square root of 6+ square root of 11)/( square root of 5+ square root of 3)	$\frac{\sqrt{6} + \sqrt{11}}{\sqrt{5} + \sqrt{3}}$
19528	Solve for x	2x^2-3x-1=0	$2 x^{2} - 3 x - 1 = 0$
19529	Find the Next Term	4 , 20 , 100 , 500	$4$ , $20$ , $100$ , $500$
19530	Solve for x	4x^2-9=0	$4 x^{2} - 9 = 0$
19531	Find the Next Term	9 , 6 , 4	$9$ , $6$ , $4$
19532	Simplify	(16u^2)^(1/2)	${(16 u^{2})}^{\frac{1}{2}}$
19533	Find the Next Term	1/2 , -1/4 , 1/8 , -1/16	$\frac{1}{2}$ , $- \frac{1}{4}$ , $\frac{1}{8}$ , $- \frac{1}{16}$
19534	Simplify	((-30a^14b^8)/(10a^17b^-2))^3	${(\frac{- 30 a^{14} b^{8}}{10 a^{17} b^{- 2}})}^{3}$
19535	Find the Next Term	2 , 5 , 8 , 11	$2$ , $5$ , $8$ , $11$
19536	Simplify	(y^4)^3	${(y^{4})}^{3}$
19537	Find the Next Term	2 , 13 , 24 , 35	$2$ , $13$ , $24$ , $35$
19538	Simplify	(y^(2/3))^-9	${(y^{\frac{2}{3}})}^{- 9}$
19539	Find the Next Term	128 , 32 , 8	$128$ , $32$ , $8$
19540	Simplify	(x^2y^3)^4	${(x^{2} y^{3})}^{4}$
19541	Simplify	(a^8)^(3/2)	${(a^{8})}^{\frac{3}{2}}$
19542	Find Amplitude, Period, and Phase Shift	y=-2sin(2/3x-4)	$y = - 2 \sin (\frac{2}{3} x - 4)$
19543	Simplify	(x+3)(2x-5)	$(x + 3) (2 x - 5)$
19544	Simplify	(9x+8)(9x-8)	$(9 x + 8) (9 x - 8)$
19545	Simplify	(7+i)-(6-2i)	$(7 + i) - (6 - 2 i)$
19546	Find Amplitude, Period, and Phase Shift	y=cos(-4pix+3)-7	$y = \cos (- 4 π x + 3) - 7$
19547	Find Amplitude, Period, and Phase Shift	y=8cos(5pix+(3pi)/2)-9	$y = 8 \cos (5 π x + \frac{3 π}{2}) - 9$
19548	Find Amplitude, Period, and Phase Shift	y=6sin(4x)	$y = 6 \sin (4 x)$
19549	Simplify	( square root of 13)/( square root of 52)	$\frac{\sqrt{13}}{\sqrt{52}}$
19550	Simplify	i^6*2	$i^{62}$
19551	Simplify	square root of 120	$\sqrt{120}$
19552	Find the Behavior (Leading Coefficient Test)	y=7x^12-3x^8-9x^4	$y = 7 x^{12} - 3 x^{8} - 9 x^{4}$
19553	Simplify	square root of 2x* square root of 6x	$\sqrt{2 x} \cdot \sqrt{6 x}$
19554	Simplify	i^78	$i^{78}$
19555	Find the Roots/Zeros Using the Rational Roots Test	8x^3-10x^2-7x-1=0	$8 x^{3} - 10 x^{2} - 7 x - 1 = 0$
19556	Complete the Square	3x^2+12x=9	$3 x^{2} + 12 x = 9$
19557	Simplify	(d-3)/(2d+1)+(d-1)/(2d+1)	$\frac{d - 3}{2 d + 1} + \frac{d - 1}{2 d + 1}$
19558	Complete the Square	1/16x^2+1/3x+4/9	$\frac{1}{16} x^{2} + \frac{1}{3} x + \frac{4}{9}$
19559	Simplify	c^-5d^7	$c^{- 5} d^{7}$
19560	Complete the Square	y^2+8y+	$y^{2} + 8 y +$
19561	Simplify	(3x^-2)/y	$\frac{3 x^{- 2}}{y}$
19562	Complete the Square	x^2+2/3	$x^{2} + \frac{2}{3}$
19563	Simplify	32^(3/5)	$32^{\frac{3}{5}}$
19564	Complete the Square	w^2-6w+	$w^{2} - 6 w +$
19565	Simplify	(4x^0)^4	${(4 x^{0})}^{4}$
19566	Complete the Square	w^2-18w+	$w^{2} - 18 w +$
19567	Simplify	(4x^8)^(1/2)	${(4 x^{8})}^{\frac{1}{2}}$
19568	Simplify	(3-6i)^2	${(3 - 6 i)}^{2}$
19569	Complete the Square	r^2-14r	$r^{2} - 14 r$
19570	Simplify	(3b)^2	${(3 b)}^{2}$
19571	Complete the Square	r^2+16r	$r^{2} + 16 r$
19572	Simplify	(3x-8)^2	${(3 x - 8)}^{2}$
19573	Complete the Square	r^2+24r	$r^{2} + 24 r$
19574	Simplify	(-2i)^9	${(- 2 i)}^{9}$
19575	Complete the Square	s^2-2/3s+
19576	Simplify	(3x^4)^3	${(3 x^{4})}^{3}$
19577	Complete the Square	u^2+14u+	$u^{2} + 14 u +$
19578	Complete the Square	v^2+16v+	$v^{2} + 16 v +$
19579	Simplify	(4x-3y)^2	${(4 x - 3 y)}^{2}$
19580	Complete the Square	v^2-18v+	$v^{2} - 18 v +$
19581	Simplify	(4xy)^-2	${(4 x y)}^{- 2}$
19582	Complete the Square	v^2-12v+	$v^{2} - 12 v +$
19583	Simplify	(5y)^2	${(5 y)}^{2}$
19584	Simplify	(64x^8)^(1/2)	${(64 x^{8})}^{\frac{1}{2}}$
19585	Complete the Square	w^2+8w+	$w^{2} + 8 w +$
19586	Simplify	((6x^3)^0)/(3xy^2)	$\frac{{(6 x^{3})}^{0}}{3 x y^{2}}$
19587	Complete the Square	m^2-6m	$m^{2} - 6 m$
19588	Simplify	(4/(x+3))/(1/x+3)	$\frac{\frac{4}{x + 3}}{\frac{1}{x} + 3}$
19589	Complete the Square	n^2+30n	$n^{2} + 30 n$
19590	Simplify	(x^2-49)/(x^2-4x-21)*(x+3)/x	$\frac{x^{2} - 49}{x^{2} - 4 x - 21} \cdot \frac{x + 3}{x}$
19591	Complete the Square	x^2+4x+41	$x^{2} + 4 x + 41$
19592	Simplify	1/2*(x^2(8x^2-6x+1))	$\frac{1}{2} \cdot (x^{2} (8 x^{2} - 6 x + 1))$
19593	Complete the Square	x^2+16x=5	$x^{2} + 16 x = 5$
19594	Complete the Square	x^2+6x+87	$x^{2} + 6 x + 87$
19595	Simplify	x^2-49	$x^{2} - 49$
19596	Simplify	x^2-6x	$x^{2} - 6 x$
19597	Complete the Square	x^2+x-7	$x^{2} + x - 7$
19598	Complete the Square	x^2-8x-3	$x^{2} - 8 x - 3$
19599	Simplify	y^(1/3)y^(1/3)	$y^{\frac{1}{3}} y^{\frac{1}{3}}$
19600	Complete the Square	x^2-x=7/4	$x^{2} - x = \frac{7}{4}$