Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
200101	Rationalize the Denominator	( square root of 5+2 square root of 2)/( square root of 6)	$\frac{\sqrt{5} + 2 \sqrt{2}}{\sqrt{6}}$
200102	Simplify	5 square root of 27-2 cube root of 27+ cube root of 27	$5 \sqrt{27} - 2 \sqrt[3]{27} + \sqrt[3]{27}$
200103	Solve for y	square root of y^2-12y+36=-1	$\sqrt{y^{2} - 12 y + 36} = - 1$
200104	Simplify the Radical Expression	( square root of 2)/(4 square root of 8)	$\frac{\sqrt{2}}{4 \sqrt{8}}$
200105	Solve for u	-10u+10=-1-9u+7	$- 10 u + 10 = - 1 - 9 u + 7$
200106	Solve for j	-7j-2-2j=4-3j	$- 7 j - 2 - 2 j = 4 - 3 j$
200107	Simplify	((x^2-x-2)(x^2-9))/((x^2-2x-3)(x^2+x-6))	$\frac{(x^{2} - x - 2) (x^{2} - 9)}{(x^{2} - 2 x - 3) (x^{2} + x - 6)}$
200108	Solve for c	12x^5=(4x^2)(c)	$12 x^{5} = (4 x^{2}) (c)$
200109	Write in Exponential Form	( cube root of x^3)/( fifth root of x^2)	$\frac{\sqrt[3]{x^{3}}}{\sqrt[5]{x^{2}}}$
200110	Solve for v	9v=-10+10v	$9 v = - 10 + 10 v$
200111	Find All Complex Solutions	-5+2x^2=-6x	$- 5 + 2 x^{2} = - 6 x$
200112	Simplify	(80xy)/(10(xy)^-2)	$\frac{80 x y}{10 {(x y)}^{- 2}}$
200113	Solve for r	8+4r=9r+r-10	$8 + 4 r = 9 r + r - 10$
200114	Solve for g	-9-g-7g=7-10g	$- 9 - g - 7 g = 7 - 10 g$
200115	Simplify	( square root of c^5)/( square root of d^9)	$\frac{\sqrt{c^{5}}}{\sqrt{d^{9}}}$
200116	Simplify	(a-2)(4a^3-3a^2)	$(a - 2) (4 a^{3} - 3 a^{2})$
200117	Solve for c	a*b^c=d	$a \cdot b^{c} = d$
200118	Simplify	(a-b)(a+2)-(a+b)(a-2)	$(a - b) (a + 2) - (a + b) (a - 2)$
200119	Write in Standard Form	(3a^2-a+3)+(4a^2-5)	$(3 a^{2} - a + 3) + (4 a^{2} - 5)$
200120	Simplify	( square root of 75x^5y)/( square root of 28xy^3)	$\frac{\sqrt{75 x^{5} y}}{\sqrt{28 x y^{3}}}$
200121	Simplify	(a^15b^2c^18)/(a^12b^2c^3)	$\frac{a^{15} b^{2} c^{18}}{a^{12} b^{2} c^{3}}$
200122	Solve for b	-8b-4b+2=-9b+8	$- 8 b - 4 b + 2 = - 9 b + 8$
200123	Graph	x-y>3 x>=6	$x - y > 3$ $x \geq 6$
200124	Solve for x	1/2x-7=1/3(x-12)	$\frac{1}{2} x - 7 = \frac{1}{3} (x - 12)$
200125	Simplify	2/3(x-12)	$\frac{2}{3} (x - 12)$
200126	Solve for j	-10+j=10-5j+4	$- 10 + j = 10 - 5 j + 4$
200127	Factor	20x^4-25x^2y^2-10x^3	$20 x^{4} - 25 x^{2} y^{2} - 10 x^{3}$
200128	Simplify	2(-5x+3)+-2(7x-1)	$2 (- 5 x + 3) + - 2 (7 x - 1)$
200129	Solve for n	-4n=2-5n	$- 4 n = 2 - 5 n$
200130	Simplify	(a-a/b)/(b-1/b)	$\frac{a - \frac{a}{b}}{b - \frac{1}{b}}$
200131	Simplify	( sixth root of 4)/( cube root of 4)	$\frac{\sqrt[6]{4}}{\sqrt[3]{4}}$
200132	Solve for v	-2v-5=7+3v-3v	$- 2 v - 5 = 7 + 3 v - 3 v$
200133	Solve for u	-9-4u=-u	$- 9 - 4 u = - u$
200134	Simplify	-2x+6y+x+4-3y	$- 2 x + 6 y + x + 4 - 3 y$
200135	Simplify	sixth root of 64(x+6)^6	$\sqrt[6]{64 {(x + 6)}^{6}}$
200136	Find the x and y Intercepts	f(x)=3 cube root of -x-2+6	$f (x) = 3 \sqrt[3]{- x - 2} + 6$
200137	Solve for m	7m=7(2m-3)	$7 m = 7 (2 m - 3)$
200138	Solve for c	8^c=1/64	$8^{c} = \frac{1}{64}$
200139	Find the Exact Value	9(3^-2)-(3^4)/(3^2)-( square root of 2^6)÷2	$9 (3^{- 2}) - \frac{3^{4}}{3^{2}} - \sqrt{2^{6}} \div 2$
200140	Simplify	( square root of 2x^6)/( square root of 5x^4y^5)	$\frac{\sqrt{2 x^{6}}}{\sqrt{5 x^{4} y^{5}}}$
200141	Solve for x	1/81<9^(2x-4)	$\frac{1}{81} < 9^{2 x - 4}$
200142	Solve for t	-7t=-5t+6	$- 7 t = - 5 t + 6$
200143	Solve for x	8x+32=1/5(25x-15)-4x	$8 x + 32 = \frac{1}{5} (25 x - 15) - 4 x$
200144	Simplify the Radical Expression	cube root of 64/49	$\sqrt[3]{\frac{64}{49}}$
200145	Simplify	-4mn^3*(-3m^2n+12mn^2-6m+7n^2)	$- 4 m n^{3} \cdot (- 3 m^{2} n + 12 m n^{2} - 6 m + 7 n^{2})$
200146	Solve for h	4(h-1)=3h	$4 (h - 1) = 3 h$
200147	Rationalize the Denominator	6/(2+2 square root of 5)	$\frac{6}{2 + 2 \sqrt{5}}$
200148	Simplify	(i-1)^2+2/((i-1)^2)	${(i - 1)}^{2} + \frac{2}{{(i - 1)}^{2}}$
200149	Simplify	(5a-3a^3)(4a-1)	$(5 a - 3 a^{3}) (4 a - 1)$
200150	Find the Roots (Zeros)	25^x-12*5^x+27=0	$25^{x} - 12 \cdot 5^{x} + 27 = 0$
200151	Evaluate	y=1/4(4)^(3/2)	$y = \frac{1}{4} {(4)}^{\frac{3}{2}}$
200152	Simplify	(3x^3y)^4-(7x^5y)^2*x^2y^2	${(3 x^{3} y)}^{4} - {(7 x^{5} y)}^{2} \cdot x^{2} y^{2}$
200153	Multiply	(7x^2+a^2)(x^2-3a^2)	$(7 x^{2} + a^{2}) (x^{2} - 3 a^{2})$
200154	Evaluate the Function	y=-4(5)^x for x=2	$y = - 4 {(5)}^{x}$ for $x = 2$
200155	Simplify	((12)^(3/4))/((4)^(1/4))	$\frac{{(12)}^{\frac{3}{4}}}{{(4)}^{\frac{1}{4}}}$
200156	Simplify	(6^15)/(6^-7)	$\frac{6^{15}}{6^{- 7}}$
200157	Graph	g(x)=- cube root of 2x	$g (x) = - \sqrt[3]{2 x}$
200158	Solve for f	4+10f=7(2f-4)	$4 + 10 f = 7 (2 f - 4)$
200159	Solve by Graphing	4x-4y=20 y=-5	$4 x - 4 y = 20$ $y = - 5$
200160	Simplify	(9x^2)/( fifth root of 27x^6)	$\frac{9 x^{2}}{\sqrt[5]{27 x^{6}}}$
200161	Simplify	cube root of square root of x^24	$\sqrt[3]{\sqrt[2]{x^{24}}}$
200162	Solve for x	(2x+3)/2=9/(x-1)	$\frac{2 x + 3}{2} = \frac{9}{x - 1}$
200163	Solve the Inequality for x	(5x-4)/(2x+1)>1	$\frac{5 x - 4}{2 x + 1} > 1$
200164	Simplify the Radical Expression	fourth root of 36w^6	$\sqrt[4]{36 w^{6}}$
200165	Simplify	(-4b^-2)^0	${(- 4 b^{- 2})}^{0}$
200166	Identify the Sequence	1/2 , 1/3 , 2/9 , 4/27	$\frac{1}{2}$ , $\frac{1}{3}$ , $\frac{2}{9}$ , $\frac{4}{27}$
200167	Solve for x	(2^(2x+2))(2^(3x-7))=2^25	$(2^{2 x + 2}) (2^{3 x - 7}) = 2^{25}$
200168	Simplify the Radical Expression	16/( fourth root of 16^3)	$\frac{16}{\sqrt[4]{16^{3}}}$
200169	Graph	x=f(y)	$x = f (y)$
200170	Factor	-6am^2+9m^3-12m^4	$- 6 a m^{2} + 9 m^{3} - 12 m^{4}$
200171	Simplify	(y^(1/6))^3* square root of x	${(y^{\frac{1}{6}})}^{3} \cdot \sqrt{x}$
200172	Solve for x	a/x-b=c	$\frac{a}{x} - b = c$
200173	Simplify	(x^2+y)(x+y^2)	$(x^{2} + y) (x + y^{2})$
200174	Find the Product	((8x^2)/(2x^2))^2	${(\frac{8 x^{2}}{2 x^{2}})}^{2}$
200175	Solve for x	1-2/(x-3)=-12/(x^2-9)	$1 - \frac{2}{x - 3} = - \frac{12}{x^{2} - 9}$
200176	Simplify	-(16/81)^(3/4)	$- {(\frac{16}{81})}^{\frac{3}{4}}$
200177	Simplify	(9x^2+4y^2-12xy)/(4y^2-9x^2)	$\frac{9 x^{2} + 4 y^{2} - 12 x y}{4 y^{2} - 9 x^{2}}$
200178	Simplify the Radical Expression	( square root of 50)/( square root of 2)	$\frac{\sqrt{50}}{\sqrt{2}}$
200179	Simplify the Radical Expression	fourth root of p* square root of p^3	$\sqrt[4]{p} \cdot \sqrt{p^{3}}$
200180	Simplify	-(5c^2d^5)/(8cd^5f^0)	$- \frac{5 c^{2} d^{5}}{8 c d^{5} f^{0}}$
200181	Simplify	(3x-y^4)/(4y^5)-(y^4+3x)/(4y^5)	$\frac{3 x - y^{4}}{4 y^{5}} - \frac{y^{4} + 3 x}{4 y^{5}}$
200182	Solve for b	-9-b=8b	$- 9 - b = 8 b$
200183	Solve for y	y/3-a=b	$\frac{y}{3} - a = b$
200184	Solve for p	-7p-6+6p=2p+9	$- 7 p - 6 + 6 p = 2 p + 9$
200185	Simplify the Radical Expression	square root of square root of 625	$\sqrt{\sqrt{625}}$
200186	Graph	2x-2y=x^2+9	$2 x - 2 y = x^{2} + 9$
200187	Simplify	7/(-3+ square root of -2)	$\frac{7}{- 3 + \sqrt{- 2}}$
200188	Simplify the Radical Expression	square root of 5x^2	$\sqrt{5 x^{2}}$
200189	Solve for A	1/((x+1)(x+2))=A/(x+1)+B/(x+2)	$\frac{1}{(x + 1) (x + 2)} = \frac{A}{x + 1} + \frac{B}{x + 2}$
200190	Graph	f(x)=(3x)/4+3	$f (x) = \frac{3 x}{4} + 3$
200191	Simplify	(11x^3)/(7x^(7/3))	$\frac{11 x^{3}}{7 x^{\frac{7}{3}}}$
200192	Evaluate	(-7/8-(3/4))-(3/2-9/8)	$(- \frac{7}{8} - (\frac{3}{4})) - (\frac{3}{2} - \frac{9}{8})$
200193	Solve the System of Equations	6x=4y-42 4x+y=5	$6 x = 4 y - 42$ $4 x + y = 5$
200194	Simplify	x square root of y+ square root of x^2y+2x square root of y	$x \sqrt{y} + \sqrt{x^{2} y} + 2 x \sqrt{y}$
200195	Evaluate	f(x)=3(2)^-1	$f (x) = 3 {(2)}^{- 1}$
200196	Simplify	( cube root of 3)/( square root of 3)	$\frac{\sqrt[3]{3}}{\sqrt{3}}$
200197	Simplify	((j^-1k^3)^-4)/(j^3k^3)	$\frac{{(j^{- 1} k^{3})}^{- 4}}{j^{3} k^{3}}$
200198	Solve for z	z-5=z^2-25	$z - 5 = z^{2} - 25$
200199	Simplify	(28^(3/5))^(5/6)	${(28^{\frac{3}{5}})}^{\frac{5}{6}}$
200200	Solve for f	8+5f=-4f+1+8f	$8 + 5 f = - 4 f + 1 + 8 f$