Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
231401	Simplify	(3x^3*4x^4)/(x^2)	$\frac{3 x^{3} \cdot 4 x^{4}}{x^{2}}$
231402	Simplify the Radical Expression	( cube root of 135)/( cube root of 40)	$\frac{\sqrt[3]{135}}{\sqrt[3]{40}}$
231403	Multiply	6 5/631/2	$6 \frac{5}{6} \cdot 3 \cdot \frac{1}{2}$
231404	Solve for x	2sin(x)^2- square root of 3=0	$2 \sin^{2} (x) - \sqrt{3} = 0$
231405	Simplify	(5x-15)/((x-3)(x+3))	$\frac{5 x - 15}{(x - 3) (x + 3)}$
231406	Divide Using Synthetic Division	(2x^3+x^2-11x+2)÷(x-2)	$(2 x^{3} + x^{2} - 11 x + 2) \div (x - 2)$
231407	Find the Inverse	y = cube root of 3x+2+5	$y = \sqrt[3]{3 x + 2} + 5$
231408	Simplify	(x^2-x-6)/(x^2)=(x-6)/(2x)+(2x+12)/x	$\frac{x^{2} - x - 6}{x^{2}} = \frac{x - 6}{2 x} + \frac{2 x + 12}{x}$
231409	Simplify	(7^2-5^2)/-4	$\frac{7^{2} - 5^{2}}{- 4}$
231410	Solve for w	15-2w-2=2(w-15)-1	$15 - 2 w - 2 = 2 (w - 15) - 1$
231411	Solve for y	7(y+2)-(4y-10)=44-2y+5	$7 (y + 2) - (4 y - 10) = 44 - 2 y + 5$
231412	Solve for w	(w+6)*2=20	$(w + 6) \cdot 2 = 20$
231413	Find the Domain and Range	y=((x-4)(x+3))/(x+3)	$y = \frac{(x - 4) (x + 3)}{x + 3}$
231414	Solve the Inequality for g	7g-24>6(4-5g)	$7 g - 24 > 6 (4 - 5 g)$
231415	Solve the Rational Equation for x	\|x-2\|=3	$\| x - 2 \| = 3$
231416	Simplify the Radical Expression	cube root of fourth root of y^11	$\sqrt[3]{\sqrt[4]{y^{11}}}$
231417	Solve for c	10-3c=5c-8c-24	$10 - 3 c = 5 c - 8 c - 24$
231418	Solve the Inequality for x	square root of x=11	$\sqrt{x} = 11$
231419	Solve the System of Inequalities	-2m-14<=-22 and 3m+14>=8	$- 2 m - 14 \leq - 22$ and $3 m + 14 \geq 8$
231420	Divide Using Long Polynomial Division	Use the long division method to find the result when 6x^3+10x^2+25x+14 is divided by 3x+2	Use the long division method to find the result when $6 x^{3} + 10 x^{2} + 25 x + 14$ is divided by $3 x + 2$
231421	Solve for t	6t-8=2(2t+1)	$6 t - 8 = 2 (2 t + 1)$
231422	Simplify	4 square root of x-15 square root of x	$4 \sqrt{x - 15 \sqrt{x}}$
231423	Simplify	3/x+6/(7x^2)	$\frac{3}{x} + \frac{6}{7 x^{2}}$
231424	Factor	x^4+x^3-51x^2-9x+378	$x^{4} + x^{3} - 51 x^{2} - 9 x + 378$
231425	Solve for x	x-2=9x	$x - 2 = 9 x$
231426	Solve the System of Inequalities	3m>=-12 and -m-6<3	$3 m \geq - 12$ and $- m - 6 < 3$
231427	Simplify	(5 square root of 2+3 square root of 5)(2 square root of 10-5)	$(5 \sqrt{2} + 3 \sqrt{5}) (2 \sqrt{10} - 5)$
231428	Divide Using Long Polynomial Division	Use the long division method to find the result when 3x^3+22x^2-7x-6 is divided by 3x-2	Use the long division method to find the result when $3 x^{3} + 22 x^{2} - 7 x - 6$ is divided by $3 x - 2$
231429	Graph	y>=-1/5x-1 y<2x-6	$y \geq - \frac{1}{5} x - 1$ $y < 2 x - 6$
231430	Evaluate	- log base 12 of 3+ log base 12 of 32+ log base 12 of 162	$- \log_{12} (3) + \log_{12} (32) + \log_{12} (162)$
231431	Convert to Scientific Notation	3000÷0.01	$3000 \div 0.01$
231432	Solve for x	1/3(9x-30)+5=16	$\frac{1}{3} (9 x - 30) + 5 = 16$
231433	Write in Standard Form	(36m)÷9m	$36 m \div 9 m$
231434	Simplify	(5-5x)/(9x^2-9x)	$\frac{5 - 5 x}{9 x^{2} - 9 x}$
231435	Simplify	(2x+3)^2+(x+6)(x-5)	${(2 x + 3)}^{2} + (x + 6) (x - 5)$
231436	Solve for x	cube root of x+2 = cube root of x+3	$\sqrt[3]{x + 2} = \sqrt[3]{x + 3}$
231437	Solve for n	3n^2-5n=8	$3 n^{2} - 5 n = 8$
231438	Solve for x	3(x+5)=5(x+3)-2x	$3 (x + 5) = 5 (x + 3) - 2 x$
231439	Solve the System of Equations	-2x-y=8 and 8x+6y=-16	$- 2 x - y = 8$ and $8 x + 6 y = - 16$
231440	Graph	7\|4a-6\|<42	$7 \| 4 a - 6 \| < 42$
231441	Expand Using the Binomial Theorem	(3/y+y^2)^5	${(\frac{3}{y} + y^{2})}^{5}$
231442	Simplify	(5^32^4)^2(5^-22^5)	${(5^{3} \cdot 2^{4})}^{2} (5^{- 2} \cdot 2^{5})$
231443	Solve the Inequality for x	sin(x)>-1	$\sin (x) > - 1$
231444	Simplify the Radical Expression	2 cube root of 24a^2+ cube root of 81a^2-6 cube root of 3a^2	$2 \sqrt[3]{24 a^{2}} + \sqrt[3]{81 a^{2}} - 6 \sqrt[3]{3} a^{2}$
231445	Simplify	(a^2-6)/(15a^3b^2)+3/(10ab^2)	$\frac{a^{2} - 6}{15 a^{3} b^{2}} + \frac{3}{10 a b^{2}}$
231446	Find the Leading Coefficient	f(x)=-2x^3(x-1)(x+5)	$f (x) = - 2 x^{3} (x - 1) (x + 5)$
231447	Simplify the Radical Expression	1/(( square root of 2)^5)	$\frac{1}{{(\sqrt{2})}^{5}}$
231448	Evaluate	3^2+(5*(3+6))÷3	$3^{2} + 5 \cdot (3 + 6) \div 3$
231449	Find the LCM	6x^3 , 4	$6 x^{3}$ , $4$
231450	Graph	f(x)=(-4x+8)/(2x^2-8)	$f (x) = \frac{- 4 x + 8}{2 x^{2} - 8}$
231451	Simplify	6÷3+32*4-2	$6 \div 3 + 32 \cdot 4 - 2$
231452	Evaluate	5^x=1/127	$5^{x} = \frac{1}{127}$
231453	Find the Domain and Range	y=(x+1)^(1/2)+8	$y = {(x + 1)}^{\frac{1}{2}} + 8$
231454	Evaluate	2(p-7q+7)	$2 (p - 7 q + 7)$
231455	Multiply	(4-2 square root of 3)^2	${(4 - 2 \sqrt{3})}^{2}$
231456	Simplify	3e^1	$3 e^{1}$
231457	Simplify	4x+8-7+2x-3x-1	$4 x + 8 - 7 + 2 x - 3 x - 1$
231458	Solve for θ	0 degrees <=theta<=360 degrees	$0 ° \leq θ \leq 360 °$
231459	Divide	(16x)÷2xy	$16 x \div 2 x y$
231460	Simplify	(6n+6)/(n+9)*(n^2+6n-27)/(6n+6)	$\frac{6 n + 6}{n + 9} \cdot \frac{n^{2} + 6 n - 27}{6 n + 6}$
231461	Solve for r	r/(r+4)+4/(r-4)=(r^2+16)/(r^2-16)	$\frac{r}{r + 4} + \frac{4}{r - 4} = \frac{r^{2} + 16}{r^{2} - 16}$
231462	Solve for x	3/x=2x-1	$\frac{3}{x} = 2 x - 1$
231463	Solve for x	x^(x^2)=2	$x^{x^{2}} = 2$
231464	Multiply	square root of 2x( square root of 2+ square root of x)	$\sqrt{2 x} (\sqrt{2} + \sqrt{x})$
231465	Find the Directrix	(x^2)/25+(y^2)/16=1	$\frac{x^{2}}{25} + \frac{y^{2}}{16} = 1$
231466	Rationalize the Denominator	( square root of 3x)/( square root of 5y)	$\frac{\sqrt{3 x}}{\sqrt{5 y}}$
231467	Solve for x	square root of 2x+1=1+2 square root of x	$\sqrt{2 x + 1} = 1 + 2 \sqrt{x}$
231468	Simplify	((x^12)^(1/3))/(x^-6)	$\frac{{(x^{12})}^{\frac{1}{3}}}{x^{- 6}}$
231469	Simplify	(1-(y^4)/16)^2	${(1 - \frac{y^{4}}{16})}^{2}$
231470	Subtract	x^2-2x-6--6x+5	$x^{2} - 2 x - 6 - - 6 x + 5$
231471	Evaluate	4(x+7)=2(x+38)	$4 (x + 7) = 2 (x + 38)$
231472	Evaluate	4a^2b^-2c^3	$4 a^{2} b^{- 2} c^{3}$
231473	Find All Complex Solutions	7/x=2/(x-5)	$\frac{7}{x} = \frac{2}{x - 5}$
231474	Solve for y	(-3,y) and (1,-7) , m=-4	$(- 3, y)$ and $(1, - 7)$ , $m = - 4$
231475	Solve for x	2^3 square root of (x+3)^2-1=7	$2^{3} \sqrt{{(x + 3)}^{2}} - 1 = 7$
231476	Simplify	12x-(8-9x+3x^2)+6x^2	$12 x - (8 - 9 x + 3 x^{2}) + 6 x^{2}$
231477	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-8,0) and has a slope of -1/4 ?	What is the equation of the line that passes through the point $(- 8, 0)$ and has a slope of $- \frac{1}{4}$ ?
231478	Solve for x	-3 log base 5 of x+6<=9	$- 3 \log_{5} (x) + 6 \leq 9$
231479	Find the Degree, Leading Term, and Leading Coefficient	f(x)=-2x^2(2x-1)^3(4x+3)	$f (x) = - 2 x^{2} {(2 x - 1)}^{3} (4 x + 3)$
231480	Solve the System of Equations	x-y=9 and -9x-3y=39	$x - y = 9$ and $- 9 x - 3 y = 39$
231481	Simplify	1/x+xy	$\frac{1}{x} + x y$
231482	Divide	(-2/9)÷(1/3)	$- \frac{2}{9} \div \frac{1}{3}$
231483	Evaluate	(120÷20)÷(2*3)	$(120 \div 20) \div (2 \times 3)$
231484	Evaluate	9m(2p-n+3)	$9 m (2 p - n + 3)$
231485	Evaluate	(120÷20)*(2+3)	$(120 \div 20) \cdot (2 + 3)$
231486	Evaluate	\|2x-1\|>\|3x+5\|	$\| 2 x - 1 \| > \| 3 x + 5 \|$
231487	Solve the Inequality for x	3<=(2x+1)/3<=9	$3 \leq \frac{2 x + 1}{3} \leq 9$
231488	Evaluate	(b^-3c^0d^2)/(e^-4)	$\frac{b^{- 3} c^{0} d^{2}}{e^{- 4}}$
231489	Divide	( cube root of 6)÷( fourth root of 6)	$\sqrt[3]{6} \div \sqrt[4]{6}$
231490	Solve the Inequality for x	9<2x+3<5	$9 < 2 x + 3 < 5$
231491	Graph	x<=1 and x>=4	$x \leq 1$ and $x \geq 4$
231492	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (3,3) and has a slope of 0 ?	What is the equation of the line that passes through the point $(3, 3)$ and has a slope of $0$ ?
231493	Find the x and y Intercepts	f(x) = fourth root of 3x^2+1	$f (x) = \sqrt[4]{3 x^{2} + 1}$
231494	Multiply	3xy(4x^2y+2xy^2-7xy+4)	$3 x y (4 x^{2} y + 2 x y^{2} - 7 x y + 4)$
231495	Subtract	(-7x^2-10x-6)+(-3x^2+x)	$(- 7 x^{2} - 10 x - 6) + (- 3 x^{2} + x)$
231496	Multiply	(3x)/(x-2)*(x^2-4)/(x^2+3x+2)	$\frac{3 x}{x - 2} \cdot \frac{x^{2} - 4}{x^{2} + 3 x + 2}$
231497	Find the Domain and Range	(x^2-4)/(x+4)+2	$\frac{x^{2} - 4}{x + 4} + 2$
231498	Multiply	(x+1)^3*(x+1)^4	${(x + 1)}^{3} \cdot {(x + 1)}^{4}$
231499	Multiply	2*( square root of 3)/2	$2 \cdot \frac{\sqrt{3}}{2}$
231500	Write in Slope-Intercept Form	(2,-2) , y=-x-2	$(2, - 2)$ , $y = - x - 2$