Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
61201	Use the Rational Roots Test to Find All Possible Roots	f(x)=x^3+7x^2-28x-34	$f (x) = x^{3} + 7 x^{2} - 28 x - 34$
61202	Evaluate	(2- square root of 5)/(6+2 square root of 5)	$\frac{2 - \sqrt{5}}{6 + 2 \sqrt{5}}$
61203	Use the Rational Roots Test to Find All Possible Roots	f(x)=9x^4-x^3+3x^2-3x-15	$f (x) = 9 x^{4} - x^{3} + 3 x^{2} - 3 x - 15$
61204	Find the Domain	y=2x^3	$y = 2 x^{3}$
61205	Use the Rational Roots Test to Find All Possible Roots	f(x)=9x^4-x^3+5x^2-2x-39	$f (x) = 9 x^{4} - x^{3} + 5 x^{2} - 2 x - 39$
61206	Divide	(x^2-x-6)÷(x-3)	$(x^{2} - x - 6) \div (x - 3)$
61207	Find the Domain	f(t) = square root of t^2+1	$f (t) = \sqrt{t^{2} + 1}$
61208	Use the Rational Roots Test to Find All Possible Roots	f(x)=x^3+6x^2-50x-55	$f (x) = x^{3} + 6 x^{2} - 50 x - 55$
61209	Solve for x	11x+4<=37	$11 x + 4 \leq 37$
61210	Use the Rational Roots Test to Find All Possible Roots	f(x)=x^3+3x^2-20x-22	$f (x) = x^{3} + 3 x^{2} - 20 x - 22$
61211	Use the Rational Roots Test to Find All Possible Roots	f(x)=x^3+3x^2-24x-26	$f (x) = x^{3} + 3 x^{2} - 24 x - 26$
61212	Find the Domain	f(x) = square root of x-3	$f (x) = \sqrt{x} - 3$
61213	Find the Domain	f(x)=(8x)/(3x-9)	$f (x) = \frac{8 x}{3 x - 9}$
61214	Find the Domain	2x-9	$2 x - 9$
61215	Use the Rational Roots Test to Find All Possible Roots	f(x)=x^4-4x^3-4x^2+36x-45	$f (x) = x^{4} - 4 x^{3} - 4 x^{2} + 36 x - 45$
61216	Use the Rational Roots Test to Find All Possible Roots	f(x)=x^4-5x^3-36x^2+272x-448	$f (x) = x^{4} - 5 x^{3} - 36 x^{2} + 272 x - 448$
61217	Divide	(x^3-y^3)/(x-y)	$\frac{x^{3} - y^{3}}{x - y}$
61218	Divide	(x^3+2x^2-5x-6)/(x-2)	$\frac{x^{3} + 2 x^{2} - 5 x - 6}{x - 2}$
61219	Divide	(x^3+729)/(x+9)	$\frac{x^{3} + 729}{x + 9}$
61220	Divide	(x^-1+y^-1)/(x-y)	$\frac{x^{- 1} + y^{- 1}}{x - y}$
61221	Divide	(x^8)/(x^6)	$\frac{x^{8}}{x^{6}}$
61222	Use the Rational Roots Test to Find All Possible Roots	f(x)=x^5-9x^4+13x^3+57x^2-86x-120	$f (x) = x^{5} - 9 x^{4} + 13 x^{3} + 57 x^{2} - 86 x - 120$
61223	Divide	(x^5+7x^3-8)/(x-1)	$\frac{x^{5} + 7 x^{3} - 8}{x - 1}$
61224	Divide	(x^5+8x^3-9)/(x-1)	$\frac{x^{5} + 8 x^{3} - 9}{x - 1}$
61225	Divide	(x^4)/(x^6)	$\frac{x^{4}}{x^{6}}$
61226	Use the Rational Roots Test to Find All Possible Roots	f(x)=4x^4-x^3+3x^2-2x-22	$f (x) = 4 x^{4} - x^{3} + 3 x^{2} - 2 x - 22$
61227	Divide	(15x^4-10x^3+7)/(-15x^4)	$\frac{15 x^{4} - 10 x^{3} + 7}{- 15 x^{4}}$
61228	Divide	(10b)/(2b+8)	$\frac{10 b}{2 b + 8}$
61229	Use the Rational Roots Test to Find All Possible Roots	f(x)=4x^4-3x^3-9x^2+6x+2	$f (x) = 4 x^{4} - 3 x^{3} - 9 x^{2} + 6 x + 2$
61230	Divide	(2x^2+17x+35)/(x+5)	$\frac{2 x^{2} + 17 x + 35}{x + 5}$
61231	Use the Rational Roots Test to Find All Possible Roots	f(x)=54x^3-27x^2-69x-18	$f (x) = 54 x^{3} - 27 x^{2} - 69 x - 18$
61232	Divide	(2x^2+3x-14)/(x-2)	$\frac{2 x^{2} + 3 x - 14}{x - 2}$
61233	Divide	((x^2-4)/(x-8))/(x-2)	$\frac{\frac{x^{2} - 4}{x - 8}}{x - 2}$
61234	Divide	(n^2+6n+5)/(n+1)	$\frac{n^{2} + 6 n + 5}{n + 1}$
61235	Use the Rational Roots Test to Find All Possible Roots	f(x)=4x^4-x^3+5x^2-2x-6	$f (x) = 4 x^{4} - x^{3} + 5 x^{2} - 2 x - 6$
61236	Divide	(q/(r^2))/((q^2)/r)	$\frac{\frac{q}{r^{2}}}{\frac{q^{2}}{r}}$
61237	Divide	( square root of 45)/( square root of 5)	$\frac{\sqrt{45}}{\sqrt{5}}$
61238	Use the Rational Roots Test to Find All Possible Roots	f(x)=6x^3-55x^2+7x+18	$f (x) = 6 x^{3} - 55 x^{2} + 7 x + 18$
61239	Divide	( square root of 75)/( square root of 3)	$\frac{\sqrt{75}}{\sqrt{3}}$
61240	Use the Rational Roots Test to Find All Possible Roots	f(x)=6x^3+55x^2+7x-18	$f (x) = 6 x^{3} + 55 x^{2} + 7 x - 18$
61241	Divide	( cube root of 162)/( cube root of 2)	$\frac{\sqrt[3]{162}}{\sqrt[3]{2}}$
61242	Divide	((7x^4)/(24y^5))/((21x)/(12y^4))	$\frac{\frac{7 x^{4}}{24 y^{5}}}{\frac{21 x}{12 y^{4}}}$
61243	Divide	((3y+3)/(6y+12))/(18/(5y+5))	$\frac{\frac{3 y + 3}{6 y + 12}}{\frac{18}{5 y + 5}}$
61244	Simplify	4 square root of x	$4 \sqrt{x}$
61245	Simplify	3 square root of 9	$3 \sqrt{9}$
61246	Simplify	2 square root of 12	$2 \sqrt{12}$
61247	Simplify	-6 square root of 150x	$- 6 \sqrt{150 x}$
61248	Simplify	5 square root of 42x(4+4 square root of 7x)	$5 \sqrt{42 x} (4 + 4 \sqrt{7 x})$
61249	Use the Rational Roots Test to Find All Possible Roots	f(x)=2x^4-x^3+49x^2-25x-25	$f (x) = 2 x^{4} - x^{3} + 49 x^{2} - 25 x - 25$
61250	Simplify	(x+1)/(x^2-7x-8)	$\frac{x + 1}{x^{2} - 7 x - 8}$
61251	Simplify	(x+2)/(x^2-x-6)	$\frac{x + 2}{x^{2} - x - 6}$
61252	Simplify	fourth root of 36	$\sqrt[4]{36}$
61253	Simplify	square root of (18^2)/(z^3)	$\sqrt{\frac{18^{2}}{z^{3}}}$
61254	Use the Rational Roots Test to Find All Possible Roots	f(x)=-2x^4+13x^3-21x^2+2x+8	$f (x) = - 2 x^{4} + 13 x^{3} - 21 x^{2} + 2 x + 8$
61255	Simplify	fourth root of 81y^8	$\sqrt[4]{81 y^{8}}$
61256	Simplify	- fourth root of 81y^8	$- \sqrt[4]{81 y^{8}}$
61257	Use the Rational Roots Test to Find All Possible Roots	f(x)=3x^3-11x^2-35x+75	$f (x) = 3 x^{3} - 11 x^{2} - 35 x + 75$
61258	Simplify	fourth root of k square root of k	$\sqrt[4]{k} \sqrt{k}$
61259	Use the Rational Roots Test to Find All Possible Roots	f(x)=3x^3-17x^2+18x+8	$f (x) = 3 x^{3} - 17 x^{2} + 18 x + 8$
61260	Simplify	fourth root of 81x^8y^16	$\sqrt[4]{81 x^{8} y^{16}}$
61261	Simplify	fourth root of 81x^6y^8	$\sqrt[4]{81 x^{6} y^{8}}$
61262	Use the Rational Roots Test to Find All Possible Roots	f(x)=-3x^4+7x^3+3x^2-9x-1	$f (x) = - 3 x^{4} + 7 x^{3} + 3 x^{2} - 9 x - 1$
61263	Simplify	fourth root of 81x^3	$\sqrt[4]{81 x^{3}}$
61264	Simplify	fifth root of -32x^5	$\sqrt[5]{- 32 x^{5}}$
61265	Simplify	fifth root of -32x^30y^4	$\sqrt[5]{- 32 x^{30} y^{4}}$
61266	Simplify	fifth root of 64y^6	$\sqrt[5]{64 y^{6}}$
61267	Use the Rational Roots Test to Find All Possible Roots	f(x)=12x^4+127x^3+234x^2-540x+216	$f (x) = 12 x^{4} + 127 x^{3} + 234 x^{2} - 540 x + 216$
61268	Simplify	cube root of 32x^9	$\sqrt[3]{32 x^{9}}$
61269	Use the Rational Roots Test to Find All Possible Roots	f(x)=15x^3+107x^2-247x+45	$f (x) = 15 x^{3} + 107 x^{2} - 247 x + 45$
61270	Simplify	cube root of 4x^2	$\sqrt[3]{4 x^{2}}$
61271	Simplify	cube root of 729m^6n^9	$\sqrt[3]{729 m^{6} n^{9}}$
61272	Simplify	cube root of 64r^12s^15	$\sqrt[3]{64 r^{12} s^{15}}$
61273	Simplify	square root of (a+b)^2	$\sqrt{{(a + b)}^{2}}$
61274	Simplify	fourth root of 256/(9x^2)	$\sqrt[4]{\frac{256}{9 x^{2}}}$
61275	Simplify	fourth root of 125/(x^8)	$\sqrt[4]{\frac{125}{x^{8}}}$
61276	Determine if A is a Proper Subset of B	A=(0,1,2) , B=(0,1,2,10)	$A = (0, 1, 2)$ , $B = (0, 1, 2, 10)$
61277	Simplify	fourth root of 16x^8y^16	$\sqrt[4]{16 x^{8} y^{16}}$
61278	Find the Reciprocal	4 4/9	$4 \frac{4}{9}$
61279	Simplify	fourth root of 16x^2y^7	$\sqrt[4]{16 x^{2} y^{7}}$
61280	Find the Reciprocal	-1 1/12	$- 1 \frac{1}{12}$
61281	Simplify	fourth root of x^40	$\sqrt[4]{x^{40}}$
61282	Find the Reciprocal	17/72	$\frac{17}{72}$
61283	Simplify	fourth root of x^4y^8	$\sqrt[4]{x^{4} y^{8}}$
61284	Find the Domain and Range	{(4,1),(4,2),(4,3)}	${(4, 1), (4, 2), (4, 3)}$
61285	Find the Domain and Range	{(-3,-8),(-2,9),(1,-1),(5,3)}	${(- 3, - 8), (- 2, 9), (1, - 1), (5, 3)}$
61286	Simplify	fourth root of 81/y	$\sqrt[4]{\frac{81}{y}}$
61287	Simplify	cube root of (x^3)/(y^4)	$\sqrt[3]{\frac{x^{3}}{y^{4}}}$
61288	Simplify	cube root of -1/125	$\sqrt[3]{- \frac{1}{125}}$
61289	Find the Domain and Range	{(4,5),(4,6),(5,5),(5,6)}	${(4, 5), (4, 6), (5, 5), (5, 6)}$
61290	Simplify	cube root of -1/27	$\sqrt[3]{- \frac{1}{27}}$
61291	Find the Domain and Range	(-2,0) , (0,1) , (1,0)	$(- 2, 0)$ , $(0, 1)$ , $(1, 0)$
61292	Simplify	cube root of 1/(23x)	$\sqrt[3]{\frac{1}{23 x}}$
61293	Find the Domain and Range	(-2,0) , (-4,-3) , (2,-9) , (0,5) , (-5,7)	$(- 2, 0)$ , $(- 4, - 3)$ , $(2, - 9)$ , $(0, 5)$ , $(- 5, 7)$
61294	Simplify	cube root of 64/27	$\sqrt[3]{\frac{64}{27}}$
61295	Simplify	cube root of z^2	$\sqrt[3]{z^{2}}$
61296	Simplify	cube root of x^48	$\sqrt[3]{x^{48}}$
61297	Find the Domain and Range	(2,3) , (4,5) , (6,6)	$(2, 3)$ , $(4, 5)$ , $(6, 6)$
61298	Simplify	cube root of x^30	$\sqrt[3]{x^{30}}$
61299	Find the Domain and Range	(2,4) , (2,5) , (2,6)	$(2, 4)$ , $(2, 5)$ , $(2, 6)$
61300	Simplify	cube root of 27e^(6x)	$\sqrt[3]{27 e^{6 x}}$