Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
60201	Solve for x	5 natural log of x=10	$5 \ln (x) = 10$
60202	Solve for x	5 natural log of 4x-6=-6	$5 \ln (4 x - 6) = - 6$
60203	Find the LCD	a/(a^2-9)(-7a)/(a^2+8a+15)	$\frac{a}{a^{2} - 9} \frac{- 7 a}{a^{2} + 8 a + 15}$
60204	Solve for x	5x+10=4x+23	$5 x + 10 = 4 x + 23$
60205	Find the LCD	(m+n)/(12mn)*(n+m)/(18m^3n)	$\frac{m + n}{12 m n} \cdot \frac{n + m}{18 m^{3} n}$
60206	Solve for x	6x-3y=18	$6 x - 3 y = 18$
60207	Find the LCD	g/(g^2+6g-7)+6/(g-1)	$\frac{g}{g^{2} + 6 g - 7} + \frac{6}{g - 1}$
60208	Solve for x	-5x+y=-3	$- 5 x + y = - 3$
60209	Find the LCD	6/(a^2-7a+6)	$\frac{6}{a^{2} - 7 a + 6}$
60210	Solve for x	-5x=15	$- 5 x = 15$
60211	Solve for x	5x=125	$5 x = 125$
60212	Solve for x	-5x-10=10	$- 5 x - 10 = 10$
60213	Find the LCD	-7/a-9/(5a^2)	$\frac{- 7}{a} \frac{- 9}{5 a^{2}}$
60214	Solve for x	5x-38=-2(1-7x)	$5 x - 38 = - 2 (1 - 7 x)$
60215	Find the LCD	7/(x^2+4x+4)5/(4-x^2)	$\frac{7}{x^{2} + 4 x + 4} \frac{5}{4 - x^{2}}$
60216	Solve for x	5x-2y=8	$5 x - 2 y = 8$
60217	Find the LCD	9/(16a^3b^3)	$\frac{9}{16 a^{3} b^{3}}$
60218	Find the LCD	9/(5x^2y^5)*9/(10x^5y^7)	$\frac{9}{5 x^{2} y^{5}} \cdot \frac{9}{10 x^{5} y^{7}}$
60219	Simplify	(8n^7+2n^6+17)-(5n^6+5n^7+15)	$(8 n^{7} + 2 n^{6} + 17) - (5 n^{6} + 5 n^{7} + 15)$
60220	Simplify	(7x-2)(7x+2)	$(7 x - 2) (7 x + 2)$
60221	Simplify	(7x-1)(7x-1)	$(7 x - 1) (7 x - 1)$
60222	Find the LCD	y/(y^2-25)(-2y)/(y^2-7y+10)	$\frac{y}{y^{2} - 25} \frac{- 2 y}{y^{2} - 7 y + 10}$
60223	Simplify	(7x^4)(5x^7)	$(7 x^{4}) (5 x^{7})$
60224	Simplify	(7x^12)(6x^13)	$(7 x^{12}) (6 x^{13})$
60225	Find the LCD	y/(28x^3)	$\frac{y}{28 x^{3}}$
60226	Simplify	(a+b+c)(a^2+ab+bc+c^2)	$(a + b + c) (a^{2} + a b + b c + c^{2})$
60227	Simplify	(r+1)(r-3)	$(r + 1) (r - 3)$
60228	Simplify	(f*g)(4)	$(f \cdot g) (4)$
60229	Simplify	(m+5)(m^2-4)	$(m + 5) (m^{2} - 4)$
60230	Find the LCD	(x^2+5x+4)/((x^2-4)(3x+1))-(x^3-49)/(9x^2-27x-36)	$\frac{x^{2} + 5 x + 4}{(x^{2} - 4) (3 x + 1)} - \frac{x^{3} - 49}{9 x^{2} - 27 x - 36}$
60231	Simplify	(m+9)(m-3)	$(m + 9) (m - 3)$
60232	Simplify	(x+2)(x^2-2x+1)	$(x + 2) (x^{2} - 2 x + 1)$
60233	Simplify	(x+5)(x^2-3x+1)	$(x + 5) (x^{2} - 3 x + 1)$
60234	Find the LCD	s/(s^2-25)(4s)/(s^2-8s+15)	$\frac{s}{s^{2} - 25} \frac{4 s}{s^{2} - 8 s + 15}$
60235	Simplify	(x+9)(x+5)	$(x + 9) (x + 5)$
60236	Rationalize the Numerator	5 square root of 13^3	$5 \sqrt{13^{3}}$
60237	Rationalize the Numerator	(5x-8)/( square root of -8x+5)	$\frac{(5 x - 8)}{\sqrt{- 8 x + 5}}$
60238	Simplify	(x+4)(x^2-6x+3)	$(x + 4) (x^{2} - 6 x + 3)$
60239	Simplify	(x+3)(3x-2)	$(x + 3) (3 x - 2)$
60240	Rationalize the Numerator	( square root of 13+1)/2	$\frac{\sqrt{13} + 1}{2}$
60241	Simplify	(y-3)(y-4)	$(y - 3) (y - 4)$
60242	Rationalize the Numerator	( square root of 21x)/3	$\frac{\sqrt{21 x}}{3}$
60243	Simplify	(-y-3x)(-y+3x)	$(- y - 3 x) (- y + 3 x)$
60244	Simplify	(y+3)-(y-5)-7	$(y + 3) - (y - 5) - 7$
60245	Rationalize the Numerator	( cube root of 17y^2)/( cube root of 15x)	$\frac{\sqrt[3]{17 y^{2}}}{\sqrt[3]{15 x}}$
60246	Simplify	(y+3)(y+7)	$(y + 3) (y + 7)$
60247	Rationalize the Numerator	( cube root of 2y^2)/( cube root of 3x)	$\frac{\sqrt[3]{2 y^{2}}}{\sqrt[3]{3 x}}$
60248	Simplify	(x-7)(x+8)	$(x - 7) (x + 8)$
60249	Rationalize the Numerator	( cube root of 49x)/( cube root of y)	$\frac{\sqrt[3]{49 x}}{\sqrt[3]{y}}$
60250	Simplify	(x-7)(x+1)	$(x - 7) (x + 1)$
60251	Rationalize the Numerator	( square root of 2x^7)/8	$\frac{\sqrt{2 x^{7}}}{8}$
60252	Simplify	(x-7)(x-9)	$(x - 7) (x - 9)$
60253	Simplify	(x-8)(x-1)	$(x - 8) (x - 1)$
60254	Rationalize the Numerator	( square root of 4+x-2)/x	$\frac{\sqrt{4 + x} - 2}{x}$
60255	Simplify	(x-5)(x-6)	$(x - 5) (x - 6)$
60256	Simplify	(x-2y)(x+2y)	$(x - 2 y) (x + 2 y)$
60257	Simplify	(x-3)(x^2-5x+6)	$(x - 3) (x^{2} - 5 x + 6)$
60258	Rationalize the Numerator	( square root of 5x)/2	$\frac{\sqrt{5 x}}{2}$
60259	Simplify	(x-10)(x-2)	$(x - 10) (x - 2)$
60260	Simplify	((-15a^4b^2)/(5a^10b^-3))^3	${(\frac{- 15 a^{4} b^{2}}{5 a^{10} b^{- 3}})}^{3}$
60261	Rationalize the Numerator	( square root of a+h+ square root of a)/h	$\frac{\sqrt{a + h} + \sqrt{a}}{h}$
60262	Simplify	((2a^2)/(3b))^3	${(\frac{2 a^{2}}{3 b})}^{3}$
60263	Simplify	((x^4)/(y^-8))^(1/4)	${(\frac{x^{4}}{y^{- 8}})}^{\frac{1}{4}}$
60264	Simplify	(x^2)^7	${(x^{2})}^{7}$
60265	Simplify	(x^(5/6))^-3	${(x^{\frac{5}{6}})}^{- 3}$
60266	Rationalize the Numerator	(1- square root of 5)/3	$\frac{1 - \sqrt{5}}{3}$
60267	Simplify	(x^(-5/6))^6	${(x^{- \frac{5}{6}})}^{6}$
60268	Rationalize the Numerator	(1- square root of 13)/6	$\frac{1 - \sqrt{13}}{6}$
60269	Rationalize the Numerator	(-2 square root of 15)/(6- square root of 13)	$\frac{- 2 \sqrt{15}}{(6 - \sqrt{13})}$
60270	Rationalize the Numerator	(2 square root of 5^3)/(6+3 square root of 10^5)	$\frac{2 \sqrt{5^{3}}}{6 + 3 \sqrt{10^{5}}}$
60271	Simplify	(x^5)^-8x^4	${(x^{5})}^{- 8} x^{4}$
60272	Simplify	(x^4)^(1/2)	${(x^{4})}^{\frac{1}{2}}$
60273	Simplify	(y^3)^4	${(y^{3})}^{4}$
60274	Rationalize the Numerator	(5+ square root of z)/6	$\frac{5 + \sqrt{z}}{6}$
60275	Rationalize the Numerator	square root of 49	$\sqrt{49}$
60276	Simplify	(x^9)^4	${(x^{9})}^{4}$
60277	Rationalize the Numerator	square root of y^25	$\sqrt{y^{25}}$
60278	Simplify	(m^7)^2	${(m^{7})}^{2}$
60279	Rationalize the Numerator	square root of w^7	$\sqrt{w^{7}}$
60280	Simplify	(p^3)^2	${(p^{3})}^{2}$
60281	Rationalize the Numerator	square root of 10x^7	$\sqrt{10 x^{7}}$
60282	Simplify	(p^3q^2)^-1	${(p^{3} q^{2})}^{- 1}$
60283	Rationalize the Numerator	square root of (7x)^3	$\sqrt{{(7 x)}^{3}}$
60284	Simplify	(p^4)^4	${(p^{4})}^{4}$
60285	Rationalize the Numerator	square root of 23/11	$\sqrt{\frac{23}{11}}$
60286	Simplify	(b^(1/3))^(3/5)	${(b^{\frac{1}{3}})}^{\frac{3}{5}}$
60287	Rationalize the Numerator	square root of 19/13	$\sqrt{\frac{19}{13}}$
60288	Simplify	(r/s)^5	${(\frac{r}{s})}^{5}$
60289	Rationalize the Numerator	cube root of w^7	$\sqrt[3]{w^{7}}$
60290	Simplify	(r/s)^10	${(\frac{r}{s})}^{10}$
60291	Rationalize the Numerator	cube root of 7/125	$\sqrt[3]{\frac{7}{125}}$
60292	Simplify	(r/s)^8	${(\frac{r}{s})}^{8}$
60293	Determine if the Expression is a Perfect Square	-1000x^12y^3	$- 1000 x^{12} y^{3}$
60294	Simplify	(x^(3/4))^(1/3)	${(x^{\frac{3}{4}})}^{\frac{1}{3}}$
60295	Determine if the Expression is a Perfect Square	121x^2+55x+25	$121 x^{2} + 55 x + 25$
60296	Simplify	(x^(2/7))^(3/4)	${(x^{\frac{2}{7}})}^{\frac{3}{4}}$
60297	Determine if the Expression is a Perfect Square	121a^2	$121 a^{2}$
60298	Simplify	(x^(-3/8)y^(1/4))^16	${(x^{- \frac{3}{8}} y^{\frac{1}{4}})}^{16}$
60299	Determine if the Expression is a Perfect Square	125a^6	$125 a^{6}$
60300	Simplify	((2x)/(3y))^5	${(\frac{2 x}{3 y})}^{5}$