Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
23701	Simplify	(2+i)(3-2i)	$(2 + i) (3 - 2 i)$
23702	Find the Vertex	-4x^2-12x+9	$- 4 x^{2} - 12 x + 9$
23703	Simplify	(4x+5y)(4x-5y)	$(4 x + 5 y) (4 x - 5 y)$
23704	Simplify	(5-i)(5+i)	$(5 - i) (5 + i)$
23705	Simplify	-6+7i+(6-7i)	$- 6 + 7 i + (6 - 7 i)$
23706	Find the Vertex	2x^2+6x+6	$2 x^{2} + 6 x + 6$
23707	Simplify	(-3+i)(-3-i)	$(- 3 + i) (- 3 - i)$
23708	Find the Vertex	(x+5)^2-2	${(x + 5)}^{2} - 2$
23709	Simplify	(3x^4-3x)-(3x-3x^4)	$(3 x^{4} - 3 x) - (3 x - 3 x^{4})$
23710	Simplify	(3-6n^5-8n^4)-(-6n^4-3n-8n^5)	$(3 - 6 n^{5} - 8 n^{4}) - (- 6 n^{4} - 3 n - 8 n^{5})$
23711	Find the Vertex	1/5(x-3)^2-5	$\frac{1}{5} {(x - 3)}^{2} - 5$
23712	Simplify	14x^2+5-(7(x^2-2)+4)	$14 x^{2} + 5 - (7 (x^{2} - 2) + 4)$
23713	Find the Vertex	8/3x^2-8/3x	$\frac{8}{3} x^{2} - \frac{8}{3} x$
23714	Simplify	x^5y^-2	$x^{5} y^{- 2}$
23715	Find the Vertex	3x^2+54x+240	$3 x^{2} + 54 x + 240$
23716	Simplify	x^(2-16)	$x^{2 - 16}$
23717	Find the Vertex	-1/4x^2+2x-3	$- \frac{1}{4} x^{2} + 2 x - 3$
23718	Find the Vertex	7x^2-7x	$7 x^{2} - 7 x$
23719	Simplify	(x-7)^3	${(x - 7)}^{3}$
23720	Simplify	16^(5/4)	$16^{\frac{5}{4}}$
23721	Simplify	(2x^2-10x-28)/(6x)*6/(x-7)	$\frac{2 x^{2} - 10 x - 28}{6 x} \cdot \frac{6}{x - 7}$
23722	Simplify	(x^2-4x+4)/(x^2+10x+25)*(x+5)/(x^2+3x-10)	$\frac{x^{2} - 4 x + 4}{x^{2} + 10 x + 25} \cdot \frac{x + 5}{x^{2} + 3 x - 10}$
23723	Find the Vertex	-4x^2-20x+9	$- 4 x^{2} - 20 x + 9$
23724	Simplify	(x^2-36)/(x^2-2x-24)*(x+4)/x	$\frac{x^{2} - 36}{x^{2} - 2 x - 24} \cdot \frac{x + 4}{x}$
23725	Find the Vertex	-x^2+10x-27	$- x^{2} + 10 x - 27$
23726	Simplify	(x^2+5x+4)/(x^2+2x+1)*(2x+2)/(x+4)	$\frac{x^{2} + 5 x + 4}{x^{2} + 2 x + 1} \cdot \frac{2 x + 2}{x + 4}$
23727	Find the Vertex	-x^2-4x-1	$- x^{2} - 4 x - 1$
23728	Simplify	(x^-2)/(x^-2-y^-2)	$\frac{x^{- 2}}{x^{- 2} - y^{- 2}}$
23729	Simplify	(5x)^3	${(5 x)}^{3}$
23730	Find the Vertex	5x^2+10x-2	$5 x^{2} + 10 x - 2$
23731	Simplify	(-6P)^2	${(- 6 P)}^{2}$
23732	Simplify	(a-5)^2	${(a - 5)}^{2}$
23733	Find the Vertex	3x^2-24x+46	$3 x^{2} - 24 x + 46$
23734	Find the Vertex	6\|x-2\|-5	$6 \| x - 2 \| - 5$
23735	Simplify	(8-6i)^2	${(8 - 6 i)}^{2}$
23736	Find the Vertex	(x-1)^2+6	${(x - 1)}^{2} + 6$
23737	Find the Vertex	-8x^2-24x+3	$- 8 x^{2} - 24 x + 3$
23738	Simplify	(-2x)^5	${(- 2 x)}^{5}$
23739	Find the Vertex	2x^2-20x+52	$2 x^{2} - 20 x + 52$
23740	Find the Vertex	-x^2-10x-27	$- x^{2} - 10 x - 27$
23741	Simplify	(t-3)/(5-t)-(t+4)/(t+5)+(t-2)/(25-t^2)	$\frac{t - 3}{5 - t} - \frac{t + 4}{t + 5} + \frac{t - 2}{25 - t^{2}}$
23742	Simplify	i^-18	$i^{- 18}$
23743	Find the Vertex	-2x^2+16x-35	$- 2 x^{2} + 16 x - 35$
23744	Simplify	square root of 2* square root of 5x	$\sqrt{2} \cdot \sqrt{5 x}$
23745	Find the Vertex	8x-x^2-15	$8 x - x^{2} - 15$
23746	Simplify	square root of 50x- square root of 8x	$\sqrt{50 x} - \sqrt{8 x}$
23747	Simplify	square root of 32x- square root of 18x	$\sqrt{32 x} - \sqrt{18 x}$
23748	Find the Vertex	x^2+8x-17	$x^{2} + 8 x - 17$
23749	Simplify	8^-2q^3r^-5	$8^{- 2} q^{3} r^{- 5}$
23750	Find the Vertex	4x^2-16x+2	$4 x^{2} - 16 x + 2$
23751	Simplify	(9x^4-72x)/(3x^2-12)*(x^2+x-2)/(4x^3+8x^2+16x)	$\frac{9 x^{4} - 72 x}{3 x^{2} - 12} \cdot \frac{x^{2} + x - 2}{4 x^{3} + 8 x^{2} + 16 x}$
23752	Simplify	(4x)/4	$\frac{4 x}{4}$
23753	Find the Vertex	-16x^2+64x+80	$- 16 x^{2} + 64 x + 80$
23754	Simplify	4/k*(4k)/4	$\frac{4}{k} \cdot \frac{4 k}{4}$
23755	Find the Vertex	9-(x-1)^2	$9 - {(x - 1)}^{2}$
23756	Find the Vertex	-x^2-6x-13	$- x^{2} - 6 x - 13$
23757	Simplify	(4x^2-7x-2)/(8x^3+2x^2+4x+1)	$\frac{4 x^{2} - 7 x - 2}{8 x^{3} + 2 x^{2} + 4 x + 1}$
23758	Simplify	36^(1/2)	$36^{\frac{1}{2}}$
23759	Find the Vertex	-2x^2+640x	$- 2 x^{2} + 640 x$
23760	Simplify	8x^3-27	$8 x^{3} - 27$
23761	Find the Vertex	x^2-7x-18	$x^{2} - 7 x - 18$
23762	Solve for x	square root of 24-2x=x	$\sqrt{24 - 2 x} = x$
23763	Solve for p	-3(p-7)=21	$- 3 (p - 7) = 21$
23764	Find the Vertex	-8x^2-40x+9	$- 8 x^{2} - 40 x + 9$
23765	Solve for q	q+12-2(q-22)>0	$q + 12 - 2 (q - 22) > 0$
23766	Find the Vertex	2x^2+14x+20	$2 x^{2} + 14 x + 20$
23767	Simplify	4x^-5	$4 x^{- 5}$
23768	Simplify	4x^-4	$4 x^{- 4}$
23769	Find the Vertex	3x^2-6x-3	$3 x^{2} - 6 x - 3$
23770	Simplify	6t^2-5.4-3.5t+2.5t^2+3t	$6 t^{2} - 5.4 - 3.5 t + 2.5 t^{2} + 3 t$
23771	Find the Vertex	-12c^2+120c	$- 12 c^{2} + 120 c$
23772	Convert to a Mixed Number	39/7	$\frac{39}{7}$
23773	Convert to a Mixed Number	26/8	$\frac{26}{8}$
23774	Simplify	3g^-2b^2	$3 g^{- 2} b^{2}$
23775	Convert to a Mixed Number	1.667	$1.667$
23776	Simplify	3m^2(10+m)	$3 m^{2} (10 + m)$
23777	Convert to a Mixed Number	23/10	$\frac{23}{10}$
23778	Simplify	-3 square root of 7r^3*(6 square root of 7r^2)	$- 3 \sqrt{7 r^{3}} \cdot (6 \sqrt{7 r^{2}})$
23779	Convert to a Mixed Number	49/10	$\frac{49}{10}$
23780	Simplify	3 square root of 7-7 cube root of x	$3 \sqrt{7} - 7 \sqrt[3]{x}$
23781	Convert to a Mixed Number	38/12	$\frac{38}{12}$
23782	Factor	13y^2-5yx-8x^2	$13 y^{2} - 5 y x - 8 x^{2}$
23783	Convert to a Mixed Number	147/8	$\frac{147}{8}$
23784	Factor	81x^4-81	$81 x^{4} - 81$
23785	Convert to a Mixed Number	43/9	$\frac{43}{9}$
23786	Solve for x	x^2-2x-3<0	$x^{2} - 2 x - 3 < 0$
23787	Convert to a Mixed Number	3.58	$3.58$
23788	Simplify	fifth root of z^1125 root of z^2*0	$\sqrt[5]{z^{11}} \sqrt[25]{z^{20}}$
23789	Convert to a Mixed Number	29/7	$\frac{29}{7}$
23790	Solve for x	-2/5x-9<9/10	$- \frac{2}{5} x - 9 < \frac{9}{10}$
23791	Convert to a Mixed Number	44/7	$\frac{44}{7}$
23792	Solve for x	3(1-2x)>3-6x	$3 (1 - 2 x) > 3 - 6 x$
23793	Convert to a Mixed Number	57/8	$\frac{57}{8}$
23794	Solve for x	-3x<15	$- 3 x < 15$
23795	Convert to a Mixed Number	79/10	$\frac{79}{10}$
23796	Convert to a Mixed Number	41/12	$\frac{41}{12}$
23797	Solve for x	8x=-32	$8 x = - 32$
23798	Find the Mode	20 , 38 , 46 , 38 , 49 , 38 , 49	$20$ , $38$ , $46$ , $38$ , $49$ , $38$ , $49$
23799	Solve for x	9-3x=2(x-3)	$9 - 3 x = 2 (x - 3)$
23800	Simplify	square root of x^2y^10z	$\sqrt{x^{2} y^{10} z}$