Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
45901	Simplify	(4d^2t^5v^-4)(-5dt^-3v^-1)	$(4 d^{2} t^{5} v^{- 4}) (- 5 d t^{- 3} v^{- 1})$
45902	Simplify	-4w^-3z^-5(8w)^2	$- 4 w^{- 3} z^{- 5} {(8 w)}^{2}$
45903	Simplify	(3+2i)-(5-7i)	$(3 + 2 i) - (5 - 7 i)$
45904	Simplify	(3-2i)(1+7i)	$(3 - 2 i) (1 + 7 i)$
45905	Solve in Terms of the Arbitrary Variable n	t_n=-5n+2	$t_{n} = - 5 n + 2$
45906	Simplify	-(3+i)(7-3i)	$- (3 + i) (7 - 3 i)$
45907	Simplify	(2x-2)(x+5)	$(2 x - 2) (x + 5)$
45908	Simplify	(2x-3)(4x^2+6x+9)	$(2 x - 3) (4 x^{2} + 6 x + 9)$
45909	Simplify	(-6hi^2j^4)(3h^3ij^3)	$(- 6 h i^{2} j^{4}) (3 h^{3} i j^{3})$
45910	Solve in Terms of the Arbitrary Variable a	a_n=4n+1	$a_{n} = 4 n + 1$
45911	Simplify	(5x+8)(5x-8)	$(5 x + 8) (5 x - 8)$
45912	Simplify	(5-2i)-(6+8i)	$(5 - 2 i) - (6 + 8 i)$
45913	Solve in Terms of the Arbitrary Variable a	a_n=5n+5	$a_{n} = 5 n + 5$
45914	Simplify	(5+i)(5-i)	$(5 + i) (5 - i)$
45915	Solve in Terms of the Arbitrary Variable a	a_n=16(-90)^(n-1)	$a_{n} = 16 {(- 90)}^{n - 1}$
45916	Find the Vertex	2x^2+16x+6	$2 x^{2} + 16 x + 6$
45917	Simplify	(5d+5)-(d+1)	$(5 d + 5) - (d + 1)$
45918	Find the Vertex	-16x^2+96x	$- 16 x^{2} + 96 x$
45919	Simplify	(-4h+2)(3h+7)	$(- 4 h + 2) (3 h + 7)$
45920	Find the Vertex	-3x^2+12x-16	$- 3 x^{2} + 12 x - 16$
45921	Simplify	(4-i)(6-6i)	$(4 - i) (6 - 6 i)$
45922	Find the Vertex	2x^2-12x-5	$2 x^{2} - 12 x - 5$
45923	Simplify	(4-5i)(3+7i)	$(4 - 5 i) (3 + 7 i)$
45924	Simplify	(5+14i)-(10-2i)	$(5 + 14 i) - (10 - 2 i)$
45925	Find the Vertex	56t-16t^2	$56 t - 16 t^{2}$
45926	Simplify	2-3i+(6+8i)	$2 - 3 i + (6 + 8 i)$
45927	Find the Vertex	-1/2x^2+7x-5	$- \frac{1}{2} x^{2} + 7 x - 5$
45928	Simplify	(-2-2i)(-4+6i)	$(- 2 - 2 i) (- 4 + 6 i)$
45929	Find the Vertex	2x^2-16x+37	$2 x^{2} - 16 x + 37$
45930	Simplify	1+5i+(1-5i)	$1 + 5 i + (1 - 5 i)$
45931	Find the Vertex	-16t^2+24t+7	$- 16 t^{2} + 24 t + 7$
45932	Simplify	(15x^2+11xy-19y^2)-(6x^2-3xy)	$(15 x^{2} + 11 x y - 19 y^{2}) - (6 x^{2} - 3 x y)$
45933	Find the Vertex	3x^2-12x+14	$3 x^{2} - 12 x + 14$
45934	Simplify	11+i+(3-15i)	$11 + i + (3 - 15 i)$
45935	Find the Vertex	-x^2-9	$- x^{2} - 9$
45936	Simplify	(12a^5-6a-10a^3)-(10a-2a^5-14a^4)	$(12 a^{5} - 6 a - 10 a^{3}) - (10 a - 2 a^{5} - 14 a^{4})$
45937	Simplify	(12+5i)-(9-2i)	$(12 + 5 i) - (9 - 2 i)$
45938	Simplify	13n^2+11n-2n^4+(-13n^2-3n-6n^4)	$13 n^{2} + 11 n - 2 n^{4} + (- 13 n^{2} - 3 n - 6 n^{4})$
45939	Find the Vertex	-x^2+6x-14	$- x^{2} + 6 x - 14$
45940	Simplify	(cd^2)(c^3d^2)	$(c d^{2}) (c^{3} d^{2})$
45941	Find the Vertex	2(x+3)^2-3	$2 {(x + 3)}^{2} - 3$
45942	Simplify	(x^3)(x^2-3)(3x+1)	$(x^{3}) (x^{2} - 3) (3 x + 1)$
45943	Find the Vertex	-5x^2+260x-3135	$- 5 x^{2} + 260 x - 3135$
45944	Find the Vertex	2(x+14)^2-6	$2 {(x + 14)}^{2} - 6$
45945	Find the Domain and Range	f(x)=x^2-3x	$f (x) = x^{2} - 3 x$
45946	Simplify	fourth root of 16^3	$\sqrt[4]{16^{3}}$
45947	Simplify	(-1/2* square root of 2)(-6 square root of 18)	$(- \frac{1}{2} \cdot \sqrt{2}) (- 6 \sqrt{18})$
45948	Graph	y=-5x^2-10x-13	$y = - 5 x^{2} - 10 x - 13$
45949	Find the Vertex	-16x^2+32x+24	$- 16 x^{2} + 32 x + 24$
45950	Solve for x	x- square root of 3x-2=4	$x - \sqrt{3 x - 2} = 4$
45951	Find the Vertex	-5(x-1)^2+5	$- 5 {(x - 1)}^{2} + 5$
45952	Find the Vertex	-3x^2+10x-4	$- 3 x^{2} + 10 x - 4$
45953	Solve for x	log of x/2+ log of 20/(x^2) = log of 8	$\log (\frac{x}{2}) + \log (\frac{20}{x^{2}}) = \log (8)$
45954	Find the Vertex	(x-2)^2+6	${(x - 2)}^{2} + 6$
45955	Find the Vertex	-3x^2-18x-25	$- 3 x^{2} - 18 x - 25$
45956	Solve for x	2x^2-7x+5=0	$2 x^{2} - 7 x + 5 = 0$
45957	Solve for x	-9x+1=-x+17	$- 9 x + 1 = - x + 17$
45958	Solve for x	2x^2+9x-5=0	$2 x^{2} + 9 x - 5 = 0$
45959	Find the Vertex	4(x-3)^2-1	$4 {(x - 3)}^{2} - 1$
45960	Simplify	(x^2+3x+2)/(x^2+2x+1)	$\frac{x^{2} + 3 x + 2}{x^{2} + 2 x + 1}$
45961	Solve for x	3x^2+2x-1=0	$3 x^{2} + 2 x - 1 = 0$
45962	Find the Vertex	-5x^2-10x-15	$- 5 x^{2} - 10 x - 15$
45963	Solve for x	6x^2+1<=0	$6 x^{2} + 1 \leq 0$
45964	Solve for x	x^2+6x-6=0	$x^{2} + 6 x - 6 = 0$
45965	Find the Vertex	6x^2+12x-10	$6 x^{2} + 12 x - 10$
45966	Solve for x	x^2=125	$x^{2} = 125$
45967	Find the Vertex	-x^2+5x-7	$- x^{2} + 5 x - 7$
45968	Solve for x	x^2-6x+4=0	$x^{2} - 6 x + 4 = 0$
45969	Solve for x	x^2-6=0	$x^{2} - 6 = 0$
45970	Solve for x	x^2-5x-36=0	$x^{2} - 5 x - 36 = 0$
45971	Find the Vertex	x^2-14x-95	$x^{2} - 14 x - 95$
45972	Solve for x	x^2-5x=14	$x^{2} - 5 x = 14$
45973	Divide	(1-1/x)/2	$\frac{1 - \frac{1}{x}}{2}$
45974	Solve for x	x^2-8x+25=0	$x^{2} - 8 x + 25 = 0$
45975	Find the Vertex	64t-16t^2	$64 t - 16 t^{2}$
45976	Graph	x-2y>=4	$x - 2 y \geq 4$
45977	Find the Vertex	-3x^2+30x-71	$- 3 x^{2} + 30 x - 71$
45978	Find the Vertex	6x^2+12x-7	$6 x^{2} + 12 x - 7$
45979	Find the Vertex	-2x^2-8x-13	$- 2 x^{2} - 8 x - 13$
45980	Solve for x	x^2<=4	$x^{2} \leq 4$
45981	Solve for x	x^2-2x-1=0	$x^{2} - 2 x - 1 = 0$
45982	Evaluate	log base 3 of 3^2	$\log_{3} (3^{2})$
45983	Find the Vertex	4(x-1)^2-36	$4 {(x - 1)}^{2} - 36$
45984	Solve for x	x^(2/3)-5x^(1/3)-6=0	$x^{\frac{2}{3}} - 5 x^{\frac{1}{3}} - 6 = 0$
45985	Find the Vertex	-6x^2+288x-3162	$- 6 x^{2} + 288 x - 3162$
45986	Find the Foci	(x^2)/16-(y^2)/4=1	$\frac{x^{2}}{16} - \frac{y^{2}}{4} = 1$
45987	Find the Vertex	x^2-16x+17	$x^{2} - 16 x + 17$
45988	Solve for x	square root of x>0	$\sqrt{x} > 0$
45989	Solve for x	square root of x+2+ square root of 3x+4=2	$\sqrt{x + 2} + \sqrt{3 x + 4} = 2$
45990	Find the Vertex	40t-16t^2	$40 t - 16 t^{2}$
45991	Find the Vertex	-x^2-6x-18	$- x^{2} - 6 x - 18$
45992	Simplify	(2x^3y)^6	${(2 x^{3} y)}^{6}$
45993	Simplify	(16x^16y^-8)^(3/4)	${(16 x^{16} y^{- 8})}^{\frac{3}{4}}$
45994	Simplify	((3xy^-2)/(x^3))^2	${(\frac{3 x y^{- 2}}{x^{3}})}^{2}$
45995	Find the Vertex	6x-x^2-18	$6 x - x^{2} - 18$
45996	Find the Vertex	8x^2-48x+65	$8 x^{2} - 48 x + 65$
45997	Simplify	(r/s)^6	${(\frac{r}{s})}^{6}$
45998	Simplify	(r/s)^9	${(\frac{r}{s})}^{9}$
45999	Find the Vertex	-4x^2-4x+1	$- 4 x^{2} - 4 x + 1$
46000	Simplify	(b^5)^(2/5)	${(b^{5})}^{\frac{2}{5}}$