Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
228401	Find the LCD	8/(4x+5) and 1/x	$\frac{8}{4 x + 5}$ and $\frac{1}{x}$
228402	Find the LCD	6/(x-9) and 2/(x+9)	$\frac{6}{x - 9}$ and $\frac{2}{x + 9}$
228403	Solve for y	6/(3y-18)-3=2/(y-6)	$\frac{6}{3 y - 18} - 3 = \frac{2}{y - 6}$
228404	Solve for x	log base 9 of square root of 10x+5-1/2 = log base 9 of square root of x+1	$\log_{9} (\sqrt{10 x + 5}) - \frac{1}{2} = \log_{9} (\sqrt{x + 1})$
228405	Simplify the Radical Expression	- square root of 64- square root of -50+ square root of 36- square root of -32	$- \sqrt{64} - \sqrt{- 50} + \sqrt{36} - \sqrt{- 32}$
228406	Evaluate	(-3p^3+5p^2-2p)+(-p^3-8p^2-15p)	$(- 3 p^{3} + 5 p^{2} - 2 p) + (- p^{3} - 8 p^{2} - 15 p)$
228407	Solve the Inequality for x	2+ square root of 5x-1>5	$2 + \sqrt{5 x - 1} > 5$
228408	Simplify	( square root of 5)/( square root of 2)*( square root of 2)/( square root of 2)	$\frac{\sqrt{5}}{\sqrt{2}} \cdot \frac{\sqrt{2}}{\sqrt{2}}$
228409	Simplify	(72x^3y^2)÷12x^3y	$72 x^{3} y^{2} \div 12 x^{3} y$
228410	Solve the Inequality for x	(4-x)/(x+3)>0	$\frac{4 - x}{x + 3} > 0$
228411	Evaluate	(x/2)((x+2)/3)	$(\frac{x}{2}) (\frac{x + 2}{3})$
228412	Solve for x	x(8+2)+3=2(5+x)+5(x+1)-6	$x (8 + 2) + 3 = 2 (5 + x) + 5 (x + 1) - 6$
228413	Simplify	( square root of 7x^5y)÷( square root of 28xy^3)	$\sqrt{7 x^{5} y} \div \sqrt{28 x y^{3}}$
228414	Evaluate	((2*4)^2-2^4)/-12	$\frac{{(2 \cdot 4)}^{2} - 2^{4}}{- 12}$
228415	Solve the Rational Equation for x	square root of x-2 = square root of x-10	$\sqrt{x} - 2 = \sqrt{x - 10}$
228416	Divide	( square root of 10)÷( cube root of 2)	$\sqrt{10} \div \sqrt[3]{2}$
228417	Evaluate	3/5(-1)^(5/3)	$\frac{3}{5} {(- 1)}^{\frac{5}{3}}$
228418	Multiply	-5(2x^2+9x)	$- 5 (2 x^{2} + 9 x)$
228419	Simplify	( cube root of 27xy)/(xy^(-1/2))	$\frac{\sqrt[3]{27 x y}}{x y^{- \frac{1}{2}}}$
228420	Rationalize the Denominator	(3x)/( fourth root of 27x^2)	$\frac{3 x}{\sqrt[4]{27 x^{2}}}$
228421	Simplify	(1.3a^6b^11c^5)(0.5a^2bc^3)	$(1.3 a^{6} b^{11} c^{5}) (0.5 a^{2} b c^{3})$
228422	Simplify	(-7-x^4)+(6x-7x^4)+(-8+7x)	$(- 7 - x^{4}) + (6 x - 7 x^{4}) + (- 8 + 7 x)$
228423	Evaluate	(1/(3y^3))^-3	${(\frac{1}{3 y^{3}})}^{- 3}$
228424	Solve the Absolute Value Inequality for x	-4\|x-7\|+5=-19	$- 4 \| x - 7 \| + 5 = - 19$
228425	Simplify	60/(( square root of 3)( square root of 12))	$\frac{60}{(\sqrt{3}) (\sqrt{12})}$
228426	Evaluate the Function	f(3)=2(0.75)^3	$f (3) = 2 {(0.75)}^{3}$
228427	Solve by Graphing	y=-4/9x-3 y=-7/5x-3	$y = - \frac{4}{9} x - 3$ $y = - \frac{7}{5} x - 3$
228428	Graph	y>2x 3 y>=2x-2	$y > 2 x$ $3$ $y \geq 2 x - 2$
228429	Simplify	kp(x+1)-kp	$k p (x + 1) - k p$
228430	Solve for x	(8x+7)/6+(3-2x)/4-(5x-2)/2=32	$\frac{(8 x + 7)}{6} + \frac{(3 - 2 x)}{4} - \frac{(5 x - 2)}{2} = 32$
228431	Solve for x	square root of 25 = square root of x^2	$\sqrt{25} = \sqrt{x^{2}}$
228432	Simplify	( fifth root of x^2)/( fifth root of x)	$\frac{\sqrt[5]{x^{2}}}{\sqrt[5]{x}}$
228433	Evaluate	((-4)^33^712)/(6^6*2^5)	$\frac{{(- 4)}^{3} \cdot 3^{7} \cdot 12}{6^{6} \cdot 2^{5}}$
228434	Find the Domain and Range	- cube root of x+4-2	$- \sqrt[3]{x + 4} - 2$
228435	Find the Inverse	f(x)=4 seventh root of x-8+5	$f (x) = 4 \sqrt[7]{x - 8} + 5$
228436	Simplify	x^4y^2xy^-7x^-3	$x^{4} y^{2} \cdot x y^{- 7} \cdot x^{- 3}$
228437	Evaluate	2x^(2/3)=8	$2 x^{\frac{2}{3}} = 8$
228438	Simplify	limit as x approaches 5 of (x^2-2x-15)/(x^2-10x+25)	$lim_{x \to 5} \frac{x^{2} - 2 x - 15}{x^{2} - 10 x + 25}$
228439	Simplify	(2+3/x)/(1-4/(x^2))	$\frac{2 + \frac{3}{x}}{1 - \frac{4}{x^{2}}}$
228440	Find the 7th Term	16/9 , 8/3 , 4 , 6 , 9	$\frac{16}{9}$ , $\frac{8}{3}$ , $4$ , $6$ , $9$
228441	Solve for x	x^2+px+q=(x-13)(x+1)	$x^{2} + p x + q = (x - 13) (x + 1)$
228442	Simplify	(2x)(x^5)/(x^2)	$(2 x) \frac{x^{5}}{x^{2}}$
228443	Graph	y=-1/2cos(pi/3x)	$y = - \frac{1}{2} \cos (\frac{π}{3} x)$
228444	Simplify the Radical Expression	( square root of 27)/( square root of 48)	$\frac{\sqrt{27}}{\sqrt{48}}$
228445	Evaluate	(22y^6z^8)/(2yz^-7)	$\frac{22 y^{6} z^{8}}{2 y z^{- 7}}$
228446	Divide Using Long Polynomial Division	Use the long division method to find the result when 3x^3+13x^2+11x+1 is divided by x+1	Use the long division method to find the result when $3 x^{3} + 13 x^{2} + 11 x + 1$ is divided by $x + 1$
228447	Solve the Inequality for x	20>2/3\|6+x\|+6	$20 > \frac{2}{3} \| 6 + x \| + 6$
228448	Simplify	3 fourth root of 256+- cube root of 64+ square root of 169	$3 \sqrt[4]{256} + - \sqrt[3]{64} + \sqrt{169}$
228449	Simplify	square root of -6x* square root of 21x^3	$\sqrt{- 6 x} \cdot \sqrt{21 x^{3}}$
228450	Graph	f(x)=(8x^2)/(x^4+16)	$f (x) = \frac{8 x^{2}}{x^{4} + 16}$
228451	Graph	y=tan(1/2)(x-pi/4)	$y = \tan (\frac{1}{2}) (x - \frac{π}{4})$
228452	Find All Complex Solutions	-5(-2-8m)=10+5m	$- 5 (- 2 - 8 m) = 10 + 5 m$
228453	Graph	8x+4y>=10 3x-6y>12	$8 x + 4 y \geq 10$ $3 x - 6 y > 12$
228454	Solve the Rational Equation for x	cube root of 2x-5=3	$\sqrt[3]{2 x - 5} = 3$
228455	Solve the Inequality for x	99-5x>=4x	$99 - 5 x \geq 4 x$
228456	Simplify the Radical Expression	(112/7)^(-1/4)	${(\frac{112}{7})}^{- \frac{1}{4}}$
228457	Graph	y>1/4x+5 y<=1/4x+2	$y > \frac{1}{4} x + 5$ $y \leq \frac{1}{4} x + 2$
228458	Evaluate	tan(x)+ square root of 3=0	$\tan (x) + \sqrt{3} = 0$
228459	Multiply	2x(3x^3+5y)	$2 x (3 x^{3} + 5 y)$
228460	Find the Holes in the Graph	y=(x-2)/(x^2-4)	$y = \frac{x - 2}{x^{2} - 4}$
228461	Find the x and y Intercepts	f(x)=-(x-3)^2(x^2+16)(x^2-6)	$f (x) = - {(x - 3)}^{2} (x^{2} + 16) (x^{2} - 6)$
228462	Identify the Sequence	125 , 25 , 5 ; dots	$125$ , $25$ , $5$ ; dots
228463	Evaluate	(81^7-27^9-9^13)/45	$\frac{81^{7} - 27^{9} - 9^{13}}{45}$
228464	Solve the System of Equations	2y-4x=-4 y=-2+2x	$2 y - 4 x = - 4$ $y = - 2 + 2 x$
228465	Find the LCD	9/(x-11) and 5/(x+11)	$\frac{9}{x - 11}$ and $\frac{5}{x + 11}$
228466	Simplify	( square root of 2)/2( square root of 2)/2	$\frac{\sqrt{2}}{2} \cdot \frac{\sqrt{2}}{2}$
228467	Simplify	-1/9(5G-3)+2/9G	$- \frac{1}{9} (5 G - 3) + \frac{2}{9} G$
228468	Graph	3x-15<0	$3 x - 15 < 0$
228469	Graph	x+y>4 x-y<6	$x + y > 4$ $x - y < 6$
228470	Solve the System of Equations	y=x -2x-5y=35	$y = x$ $- 2 x - 5 y = 35$
228471	Simplify	( cube root of m^6)( cube root of 32m^3)	$(\sqrt[3]{m^{6}}) (\sqrt[3]{32 m^{3}})$
228472	Solve for x	7^(x-5)=49x	$7^{x - 5} = 49 x$
228473	Simplify	( square root of 8-2 square root of 2)( square root of 2+2 square root of 8)	$(\sqrt{8} - 2 \sqrt{2}) (\sqrt{2} + 2 \sqrt{8})$
228474	Evaluate	((2^2x^2)/(xy^2))^2	${(\frac{2^{2} x^{2}}{x y^{2}})}^{2}$
228475	Evaluate	( square root of 2)/2*(-( square root of 2)/2)	$\frac{\sqrt{2}}{2} \cdot (- \frac{\sqrt{2}}{2})$
228476	Simplify	((x^2-4)/(16-x^2))((16-4x)/(4x+8))	$(\frac{x^{2} - 4}{16 - x^{2}}) (\frac{16 - 4 x}{4 x + 8})$
228477	Simplify	(x+x/y)/(y-y/x)	$\frac{x + \frac{x}{y}}{y - \frac{y}{x}}$
228478	Solve the System of Equations	x^2+y^2=100 y=-1/7x+50/7	$x^{2} + y^{2} = 100$ $y = - \frac{1}{7} x + \frac{50}{7}$
228479	Solve for j	-4(8j-12)=4(-6-17j)	$- 4 (8 j - 12) = 4 (- 6 - 17 j)$
228480	Evaluate	x/12=34	$\frac{x}{12} = 34$
228481	Find the Domain and Range	y=1/2sin(3x)	$y = \frac{1}{2} \sin (3 x)$
228482	Simplify	(a^(1/2)*b^(1/3))^(1/2)	${(a^{\frac{1}{2}} \cdot b^{\frac{1}{3}})}^{\frac{1}{2}}$
228483	Solve for p	S=(r-p)/3	$S = \frac{r - p}{3}$
228484	Find the LCM	9x^2-16 and 3x^2+x-4	$9 x^{2} - 16$ and $3 x^{2} + x - 4$
228485	Rationalize the Denominator	( square root of 2)/( square root of 40)	$\frac{\sqrt{2}}{\sqrt{40}}$
228486	Multiply	(-4x-32)/(x^2-12x+36)*(x^2-9x+18)/(3x+24)	$\frac{- 4 x - 32}{x^{2} - 12 x + 36} \cdot \frac{x^{2} - 9 x + 18}{3 x + 24}$
228487	Solve for n	(n-6)/(3n)=1/2	$\frac{n - 6}{3 n} = \frac{1}{2}$
228488	Solve for x	5x-3(x+9)+10=4	$5 x - 3 (x + 9) + 10 = 4$
228489	Solve for x	(x-3)^2-2=x+1	${(x - 3)}^{2} - 2 = x + 1$
228490	Find the Roots (Zeros)	sin(x)=0	$\sin (x) = 0$
228491	Simplify	4(x-4)+2(3x^2+3x-20)	$4 (x - 4) + 2 (3 x^{2} + 3 x - 20)$
228492	Evaluate	3(1-t)^2-5(1-t)+1	$3 {(1 - t)}^{2} - 5 (1 - t) + 1$
228493	Find the x and y Intercepts	y = log base 1/2 of x	$y = \log_{\frac{1}{2}} (x)$
228494	Solve the Inequality for n	7-n>=3	$7 - n \geq 3$
228495	Solve the System of Equations	-1/2y=1/2x+5 and y=2x+2	$- \frac{1}{2} y = \frac{1}{2} x + 5$ and $y = 2 x + 2$
228496	Factor	x^4-64=0	$x^{4} - 64 = 0$
228497	Solve for M₁	F=(GM_1M_2)/(r^2)	$F = \frac{G M_{1} M_{2}}{r^{2}}$
228498	Simplify	(1/x-3/(x+1))/(2/(x+1)-3/x)	$\frac{\frac{1}{x} - \frac{3}{x + 1}}{\frac{2}{x + 1} - \frac{3}{x}}$
228499	Solve for x	x/(x-2)=(x+4)/9	$\frac{x}{x - 2} = \frac{x + 4}{9}$
228500	Simplify	((3m^2n^3)/(xy^2))^2((x^3yz^2)/(2mn^2))	${(\frac{3 m^{2} n^{3}}{x y^{2}})}^{2} (\frac{x^{3} y z^{2}}{2 m n^{2}})$