Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
46001	Simplify	((3xy^-2)/(x^3))^2	${(\frac{3 x y^{- 2}}{x^{3}})}^{2}$
46002	Find the Vertex	6x-x^2-18	$6 x - x^{2} - 18$
46003	Find the Vertex	8x^2-48x+65	$8 x^{2} - 48 x + 65$
46004	Simplify	(r/s)^6	${(\frac{r}{s})}^{6}$
46005	Simplify	(r/s)^9	${(\frac{r}{s})}^{9}$
46006	Find the Vertex	-4x^2-4x+1	$- 4 x^{2} - 4 x + 1$
46007	Simplify	(b^5)^(2/5)	${(b^{5})}^{\frac{2}{5}}$
46008	Simplify	(n^3)^2	${(n^{3})}^{2}$
46009	Find the Vertex	2(x-4)^2-2	$2 {(x - 4)}^{2} - 2$
46010	Find the Vertex	-5x^2+280x-3675	$- 5 x^{2} + 280 x - 3675$
46011	Find the Vertex	-2(x+5)^2+4	$- 2 {(x + 5)}^{2} + 4$
46012	Simplify	(x^-2y^-4x^3)^-2	${(x^{- 2} y^{- 4} x^{3})}^{- 2}$
46013	Simplify	((x^-6)/(x^2))^3	${(\frac{x^{- 6}}{x^{2}})}^{3}$
46014	Find the Vertex	3x^2+6x+10	$3 x^{2} + 6 x + 10$
46015	Simplify	((x^6)/(y^9))^(-1/3)	${(\frac{x^{6}}{y^{9}})}^{- \frac{1}{3}}$
46016	Simplify	(x-3)(2x+3)	$(x - 3) (2 x + 3)$
46017	Simplify	(x-1)(x-5)	$(x - 1) (x - 5)$
46018	Simplify	(x-1)(x+8)	$(x - 1) (x + 8)$
46019	Find the Vertex	-16t^2+64t+5	$- 16 t^{2} + 64 t + 5$
46020	Simplify	(x-12)(x+12)	$(x - 12) (x + 12)$
46021	Find the Vertex	-3x^2-12	$- 3 x^{2} - 12$
46022	Simplify	(x-i)(x+i)	$(x - i) (x + i)$
46023	Find the Vertex	-x^2+10x+3	$- x^{2} + 10 x + 3$
46024	Simplify	(x-8)(x+2)	$(x - 8) (x + 2)$
46025	Find the Vertex	(x+5)^2-9	${(x + 5)}^{2} - 9$
46026	Find the Vertex	-2x^2-12x-15	$- 2 x^{2} - 12 x - 15$
46027	Simplify	(x-7)(x-3)	$(x - 7) (x - 3)$
46028	Find the Vertex	x^2-10x+22	$x^{2} - 10 x + 22$
46029	Simplify	(y-1)(y+1)	$(y - 1) (y + 1)$
46030	Find the Vertex	-x^2+10x-16	$- x^{2} + 10 x - 16$
46031	Simplify	(x-y)(x+y)(2x+y)	$(x - y) (x + y) (2 x + y)$
46032	Find the Vertex	-16x^2+64x+4	$- 16 x^{2} + 64 x + 4$
46033	Simplify	(x+3)(x+4)(x+5)	$(x + 3) (x + 4) (x + 5)$
46034	Find the Vertex	-6x^2+336x-4320	$- 6 x^{2} + 336 x - 4320$
46035	Simplify	(x+3y)(x-3y)	$(x + 3 y) (x - 3 y)$
46036	Find the Vertex	-(r+11)(r+14)	$- (r + 11) (r + 14)$
46037	Simplify	(x+4)(x-9)	$(x + 4) (x - 9)$
46038	Find the Vertex	4x^2+8x-96	$4 x^{2} + 8 x - 96$
46039	Simplify	(x-1/4)(x+3/4)	$(x - \frac{1}{4}) (x + \frac{3}{4})$
46040	Find the Vertex	-x^2-8x-18	$- x^{2} - 8 x - 18$
46041	Simplify	(x+2/3)(x-1/3)	$(x + \frac{2}{3}) (x - \frac{1}{3})$
46042	Find the Vertex	3x^2+6x-10	$3 x^{2} + 6 x - 10$
46043	Find the Vertex	-16x^2+32x+56	$- 16 x^{2} + 32 x + 56$
46044	Simplify	(x+2)(y^2+2y-12)	$(x + 2) (y^{2} + 2 y - 12)$
46045	Find the Vertex	-4x^2+6x+1	$- 4 x^{2} + 6 x + 1$
46046	Simplify	(9x+y)(9x-y)	$(9 x + y) (9 x - y)$
46047	Simplify	(a+bi)(a-bi)	$(a + b i) (a - b i)$
46048	Find the Vertex	4x^2+16x+6	$4 x^{2} + 16 x + 6$
46049	Simplify	(a-1)(a-2)	$(a - 1) (a - 2)$
46050	Find the Vertex	8x-x^2-17	$8 x - x^{2} - 17$
46051	Simplify	(a-2)(a+2)	$(a - 2) (a + 2)$
46052	Find the Vertex	6x^2+36x-1	$6 x^{2} + 36 x - 1$
46053	Simplify	(c-4)(c-4)	$(c - 4) (c - 4)$
46054	Find the Vertex	-16t^2+32t+4	$- 16 t^{2} + 32 t + 4$
46055	Simplify	(9+7i)-(6-2i)	$(9 + 7 i) - (6 - 2 i)$
46056	Find the Vertex	-8x^2-24x+5	$- 8 x^{2} - 24 x + 5$
46057	Simplify	(7x+6)(7x-6)	$(7 x + 6) (7 x - 6)$
46058	Find the Vertex	3x^2-30x-6	$3 x^{2} - 30 x - 6$
46059	Find the Vertex	(x+2)^2-5	${(x + 2)}^{2} - 5$
46060	Simplify	2/(x-3)-1/(x-1)	$\frac{2}{x - 3} - \frac{1}{x - 1}$
46061	Simplify	5/(2x)+4/(3y)	$\frac{5}{2 x} + \frac{4}{3 y}$
46062	Find the Vertex	2(x-6)^2+4	$2 {(x - 6)}^{2} + 4$
46063	Evaluate	log base 1/2 of 5	$\log_{\frac{1}{2}} (5)$
46064	Simplify	(3x+3)/2*4/(24x+24)	$\frac{3 x + 3}{2} \cdot \frac{4}{24 x + 24}$
46065	Find the Vertex	-5x^2-10x-13	$- 5 x^{2} - 10 x - 13$
46066	Simplify	(3x+3)/5*10/(24x+24)	$\frac{3 x + 3}{5} \cdot \frac{10}{24 x + 24}$
46067	Find the Vertex	-16t^2+32t+40	$- 16 t^{2} + 32 t + 40$
46068	Simplify	81^(1/4)	$81^{\frac{1}{4}}$
46069	Simplify	9^(1/2)	$9^{\frac{1}{2}}$
46070	Find the Vertex	-3(x+5)^2+2	$- 3 {(x + 5)}^{2} + 2$
46071	Simplify	(6x^2)/(y^3)*(y^-2x^3)/(9x^2)	$\frac{6 x^{2}}{y^{3}} \cdot \frac{y^{- 2} x^{3}}{9 x^{2}}$
46072	Simplify	square root of 18a^2*(4 square root of 3a^2)	$\sqrt{18 a^{2}} \cdot (4 \sqrt{3 a^{2}})$
46073	Find the Vertex	3x^2-12x-9	$3 x^{2} - 12 x - 9$
46074	Find the Vertex	2x^2+10x+15	$2 x^{2} + 10 x + 15$
46075	Simplify	square root of 12qr^2* square root of 3r	$\sqrt{12 q r^{2}} \cdot \sqrt{3 r}$
46076	Simplify	square root of 10x* square root of 2x	$\sqrt{10 x} \cdot \sqrt{2 x}$
46077	Find the Vertex	-5x^2+260x-3060	$- 5 x^{2} + 260 x - 3060$
46078	Simplify	6y^2(2y^0)^2	$6 y^{2} {(2 y^{0})}^{2}$
46079	Find the Vertex	4x^2-24x+10	$4 x^{2} - 24 x + 10$
46080	Simplify	square root of 3x* square root of 5x	$\sqrt{3 x} \cdot \sqrt{5 x}$
46081	Find the Vertex	-3x^2+24x-52	$- 3 x^{2} + 24 x - 52$
46082	Simplify	square root of 3* square root of 7x	$\sqrt{3} \cdot \sqrt{7 x}$
46083	Find the Vertex	-2x^2+20x-49	$- 2 x^{2} + 20 x - 49$
46084	Simplify	square root of 7* square root of 6x	$\sqrt{7} \cdot \sqrt{6 x}$
46085	Simplify	m^3n^-6p^0	$m^{3} n^{- 6} p^{0}$
46086	Find the Vertex	-7x^2+21x	$- 7 x^{2} + 21 x$
46087	Simplify	e^7	$e^{7}$
46088	Simplify	e^8	$e^{8}$
46089	Find the Vertex	3x^2+18x+6	$3 x^{2} + 18 x + 6$
46090	Simplify	e^xe^(-3x)e^4	$e^{x} \cdot e^{- 3 x} \cdot e^{4}$
46091	Evaluate	natural log of 2.1	$\ln (2.1)$
46092	Find the Vertex	4(x-2)^2-3	$4 {(x - 2)}^{2} - 3$
46093	Simplify	b^0	$b^{0}$
46094	Simplify	-b^2(b-10)	$- b^{2} (b - 10)$
46095	Simplify	i^126	$i^{126}$
46096	Find the Vertex	2x^2-7x+2	$2 x^{2} - 7 x + 2$
46097	Simplify	i^-11	$i^{- 11}$
46098	Simplify	i^90	$i^{90}$
46099	Find the Vertex	-x^2-10x-24	$- x^{2} - 10 x - 24$
46100	Simplify	i^93	$i^{93}$