Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
37101	Find the Focus	x^2+2x+2y+7=0	$x^{2} + 2 x + 2 y + 7 = 0$
37102	Factor	81x^2-216x+144	$81 x^{2} - 216 x + 144$
37103	Find the Focus	(x-1)^2=4(y-4)^2	${(x - 1)}^{2} = 4 {(y - 4)}^{2}$
37104	Factor	8x^6-1	$8 x^{6} - 1$
37105	Find the Focus	(x-1)^2=-6(y-3)	${(x - 1)}^{2} = - 6 (y - 3)$
37106	Factor	75x^2-30x+3	$75 x^{2} - 30 x + 3$
37107	Factor	7t-30+t^2	$7 t - 30 + t^{2}$
37108	Factor	7x^2-7x-210	$7 x^{2} - 7 x - 210$
37109	Find the Focus	(y-1)^2=12(x+3)	${(y - 1)}^{2} = 12 (x + 3)$
37110	Factor	7z^2+35z-az-5a	$7 z^{2} + 35 z - a z - 5 a$
37111	Find the Focus	x=5y^2-20y+15	$x = 5 y^{2} - 20 y + 15$
37112	Factor	6st+27t-10s-45	$6 s t + 27 t - 10 s - 45$
37113	Find the Focus	x^2=-22y	$x^{2} = - 22 y$
37114	Factor	7x^2+16x+4	$7 x^{2} + 16 x + 4$
37115	Find the Focus	x=-1/2y^2	$x = - \frac{1}{2} y^{2}$
37116	Factor	7x^2+26x-8	$7 x^{2} + 26 x - 8$
37117	Find the Focus	x=1/12(y-4)^2+5	$x = \frac{1}{12} {(y - 4)}^{2} + 5$
37118	Factor	7x^2+27x-4	$7 x^{2} + 27 x - 4$
37119	Find the Focus	x=1/16(y-3)^2+9	$x = \frac{1}{16} {(y - 3)}^{2} + 9$
37120	Factor	7x^2-14x+7	$7 x^{2} - 14 x + 7$
37121	Find the Focus	x^2-2x+16y-47=0	$x^{2} - 2 x + 16 y - 47 = 0$
37122	Factor	7x^2+5x-18	$7 x^{2} + 5 x - 18$
37123	Factor	7x^2+12x-4	$7 x^{2} + 12 x - 4$
37124	Find the Focus	x^2=10y	$x^{2} = 10 y$
37125	Factor	7x^2+10xy+3y^2	$7 x^{2} + 10 x y + 3 y^{2}$
37126	Factor	r^2+12r+27	$r^{2} + 12 r + 27$
37127	Find the Focus	y^2-4y+12x-8=0	$y^{2} - 4 y + 12 x - 8 = 0$
37128	Factor	q^3+64r^3	$q^{3} + 64 r^{3}$
37129	Find the Focus	y^2-5x+12y=-16	$y^{2} - 5 x + 12 y = - 16$
37130	Factor	m^2-15m+50	$m^{2} - 15 m + 50$
37131	Find the Focus	y^2=-40x	$y^{2} = - 40 x$
37132	Find the Focus	y^2=-13x	$y^{2} = - 13 x$
37133	Factor	j^2-9jk-10k^2	$j^{2} - 9 j k - 10 k^{2}$
37134	Find the Focus	y^2=-14x	$y^{2} = - 14 x$
37135	Factor	n^2+2n-48	$n^{2} + 2 n - 48$
37136	Find the Focus	y^2+16y+4x+4=0	$y^{2} + 16 y + 4 x + 4 = 0$
37137	Factor	n^2-10n+24	$n^{2} - 10 n + 24$
37138	Find the Focus	y^2=-3/2x	$y^{2} = - \frac{3}{2} x$
37139	Factor	m^3+27n^3	$m^{3} + 27 n^{3}$
37140	Find the Focus	y=-6/17x^2-3/17x+1/51	$y = - \frac{6}{17} x^{2} - \frac{3}{17} x + \frac{1}{51}$
37141	Factor	m^2-16m+64	$m^{2} - 16 m + 64$
37142	Factor	m^2-64	$m^{2} - 64$
37143	Find the Focus	y=-(1/12)x^2	$y = - (\frac{1}{12}) x^{2}$
37144	Factor	c^2+18c+81	$c^{2} + 18 c + 81$
37145	Find the Focus	y=1/28x^2	$y = \frac{1}{28} x^{2}$
37146	Factor	c^2+5c+6	$c^{2} + 5 c + 6$
37147	Factor	c^2+2c-48	$c^{2} + 2 c - 48$
37148	Expand the Trigonometric Expression	1+4(6p-9)	$1 + 4 (6 p - 9)$
37149	Factor	h^2+12h+27	$h^{2} + 12 h + 27$
37150	Expand the Trigonometric Expression	5(2x-y)	$5 (2 x - y)$
37151	Factor	d^2+12d+32	$d^{2} + 12 d + 32$
37152	Expand the Trigonometric Expression	(e+2a+q)^2	${(e + 2 a + q)}^{2}$
37153	Factor	b^2+18b+81	$b^{2} + 18 b + 81$
37154	Expand the Trigonometric Expression	(x^2+1/x)^3	${(x^{2} + \frac{1}{x})}^{3}$
37155	Factor	b^2+2b+1	$b^{2} + 2 b + 1$
37156	Expand the Trigonometric Expression	( square root of c-1)^6	${(\sqrt{c - 1})}^{6}$
37157	Factor	b^2+6b-27	$b^{2} + 6 b - 27$
37158	Expand the Trigonometric Expression	(3a^2+7b)^3	${(3 a^{2} + 7 b)}^{3}$
37159	Factor	b^2-2b+3b-6	$b^{2} - 2 b + 3 b - 6$
37160	Expand the Trigonometric Expression	(-4c+1)(4c+1)	$(- 4 c + 1) (4 c + 1)$
37161	Factor	b^2+9b+20	$b^{2} + 9 b + 20$
37162	Expand the Trigonometric Expression	(4x-2)(2x^2+3)	$(4 x - 2) (2 x^{2} + 3)$
37163	Factor	a^4-2a^2-35	$a^{4} - 2 a^{2} - 35$
37164	Expand the Trigonometric Expression	(5a+b)^5	${(5 a + b)}^{5}$
37165	Factor	a^4-2401	$a^{4} - 2401$
37166	Expand the Trigonometric Expression	(3a-11b)^2	${(3 a - 11 b)}^{2}$
37167	Factor	a^4+7a^2+6	$a^{4} + 7 a^{2} + 6$
37168	Expand the Trigonometric Expression	(3a+1/3)^3	${(3 a + \frac{1}{3})}^{3}$
37169	Expand the Trigonometric Expression	(3-2x)^6	${(3 - 2 x)}^{6}$
37170	Expand the Trigonometric Expression	(2-5y)(y^2+6y+9)	$(2 - 5 y) (y^{2} + 6 y + 9)$
37171	Factor	x^2y^2-144	$x^{2} y^{2} - 144$
37172	Solve in Terms of the Arbitrary Variable a	a_n=2n-1	$a_{n} = 2 n - 1$
37173	Solve in Terms of the Arbitrary Variable n	(2x^9y^n)(4x^2y^10)=8x^11y^20	$(2 x^{9} y^{n}) (4 x^{2} y^{10}) = 8 x^{11} y^{20}$
37174	Factor	x^2+1/2x	$x^{2} + \frac{1}{2} x$
37175	Factor	w^4-2401	$w^{4} - 2401$
37176	Solve in Terms of the Arbitrary Variable y	4x-5y=1 -8x+10y=-2	$4 x - 5 y = 1$ $- 8 x + 10 y = - 2$
37177	Factor	w^2+7w+12	$w^{2} + 7 w + 12$
37178	Factor	s^2+8s+16	$s^{2} + 8 s + 16$
37179	Solve in Terms of the Arbitrary Variable z	x-y+z=-9 , 4x+y+z=10	$x - y + z = - 9$ , $4 x + y + z = 10$
37180	Factor	t^2-10t+25	$t^{2} - 10 t + 25$
37181	Factor	t^2-11t+24	$t^{2} - 11 t + 24$
37182	Factor	t^2-2t-15	$t^{2} - 2 t - 15$
37183	Factor	t^3+512	$t^{3} + 512$
37184	Solve in Terms of the Arbitrary Variable n	a_n=2n-1	$a_{n} = 2 n - 1$
37185	Factor	u^2+10u+25	$u^{2} + 10 u + 25$
37186	Solve in Terms of the Arbitrary Variable x	4x-5y=1 -8x+10y=-2	$4 x - 5 y = 1$ $- 8 x + 10 y = - 2$
37187	Factor	(x-6)^2	${(x - 6)}^{2}$
37188	Factor	a^2-a-12	$a^{2} - a - 12$
37189	Solve in Terms of the Arbitrary Variable u	u=(1+i square root of 3) v=(1+2i square root of 3)	$u = (1 + i \sqrt{3})$ $v = (1 + 2 i \sqrt{3})$
37190	Factor	a^2-a-42	$a^{2} - a - 42$
37191	Factor	a^2-7ab+10b^2	$a^{2} - 7 a b + 10 b^{2}$
37192	Factor	a^2-3a+2	$a^{2} - 3 a + 2$
37193	Factor	a^2+4a+4-b^2	$a^{2} + 4 a + 4 - b^{2}$
37194	Solve in Terms of the Arbitrary Variable U	T=(9R)/(S+U)	$T = \frac{9 R}{S + U}$
37195	Factor	a^2+4a-77	$a^{2} + 4 a - 77$
37196	Solve in Terms of the Arbitrary Variable U	T=(6R)/(S+U)	$T = \frac{6 R}{S + U}$
37197	Factor	a^2+5a-24	$a^{2} + 5 a - 24$
37198	Solve in Terms of the Arbitrary Variable U	Q=(R-U)/S	$Q = \frac{R - U}{S}$
37199	Solve in Terms of the Arbitrary Variable r	V=4/3pir^3	$V = \frac{4}{3} π r^{3}$
37200	Factor	x^2-10x+25-36y^2	$x^{2} - 10 x + 25 - 36 y^{2}$