Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
232401	Factor	16x^4-1/16	$16 x^{4} - \frac{1}{16}$
232402	Simplify	(1+x/y)/(1-x/y)	$\frac{1 + \frac{x}{y}}{1 - \frac{x}{y}}$
232403	Find the Exact Value	(2pi)/((2pi)/3)	$\frac{2 π}{\frac{2 π}{3}}$
232404	Simplify	25r^3+9s-2r^3+5s	$25 r^{3} + 9 s - 2 r^{3} + 5 s$
232405	Find All Complex Solutions	7(5x+9)=18-(x+9)	$7 (5 x + 9) = 18 - (x + 9)$
232406	Solve for a	a^3=100	$a^{3} = 100$
232407	Evaluate	2(1)-3(1)^(2/3)	$2 (1) - 3 {(1)}^{\frac{2}{3}}$
232408	Solve for Q	6Q-11=21	$6 Q - 11 = 21$
232409	Solve the Inequality for p	-8(p+2)<-56	$- 8 (p + 2) < - 56$
232410	Solve for n	V=C(1-n/N)	$V = C (1 - \frac{n}{N})$
232411	Simplify	(2x+4)/(6x+12)	$\frac{2 x + 4}{6 x + 12}$
232412	Solve for y₁	d = square root of (x_2-x_1)^2+(y_2-y_1)^2	$d = \sqrt{{(x_{2} - x_{1})}^{2} + {(y_{2} - y_{1})}^{2}}$
232413	Solve the System of Inequalities	x^2+y^2<=49 x^2-4y^2>16	$x^{2} + y^{2} \leq 49$ $x^{2} - 4 y^{2} > 16$
232414	Find the Roots (Zeros)	f(x)=-3(x-1)^2(x^2-4)	$f (x) = - 3 {(x - 1)}^{2} (x^{2} - 4)$
232415	Solve for t	t^(-5/2)=32	$t^{- \frac{5}{2}} = 32$
232416	Evaluate	(2pi)÷(3/2)	$2 π \div \frac{3}{2}$
232417	Factor	P(x)=x^3+x^2+x+1	$P (x) = x^{3} + x^{2} + x + 1$
232418	Solve the System of Inequalities	(m-2)/3<-2 OR 4m+3>15	$\frac{m - 2}{3} < - 2$ OR $4 m + 3 > 15$
232419	Subtract	(-10x^2+x)+(-2x^2+9x+7)	$(- 10 x^{2} + x) + (- 2 x^{2} + 9 x + 7)$
232420	Simplify	square root of x^2* square root of x^2	$\sqrt{x^{2}} \cdot \sqrt{x^{2}}$
232421	Factor	8i^3+343	$8 i^{3} + 343$
232422	Simplify the Radical Expression	( square root of 56x^5y^5)/( square root of 7xy)	$\frac{\sqrt{56 x^{5} y^{5}}}{\sqrt{7 x y}}$
232423	Solve the Inequality for y	y+1<6	$y + 1 < 6$
232424	Graph	f(x)=(x^2+3x)/(x^2+5x+6)	$f (x) = \frac{x^{2} + 3 x}{x^{2} + 5 x + 6}$
232425	Graph	y<=2x -2 y<2x-5	$y \leq 2 x$ $- 2$ $y < 2 x - 5$
232426	Solve for w	w--3=18	$w - - 3 = 18$
232427	Graph	3x+2y<=6 x-2y<=2	$3 x + 2 y \leq 6$ $x - 2 y \leq 2$
232428	Evaluate	(5^2-3)/(5+2(3))	$\frac{5^{2} - 3}{5 + 2 (3)}$
232429	Solve the Inequality for y	2+ square root of 4y-4<=6	$2 + \sqrt{4 y - 4} \leq 6$
232430	Simplify	2x^3 square root of -27x^3	$2 x^{3} \sqrt{- 27 x^{3}}$
232431	Solve for x	2(x-1)+4x=2(3x-1)	$2 (x - 1) + 4 x = 2 (3 x - 1)$
232432	Solve for u	u-9=-7u+7	$u - 9 = - 7 u + 7$
232433	Solve the Inequality for v	-2>v/-3	$- 2 > \frac{v}{- 3}$
232434	Evaluate	(y^-1y^-5)/(x^8x^-2)	$\frac{y^{- 1} y^{- 5}}{x^{8} x^{- 2}}$
232435	Simplify	(-7/2)÷3	$- \frac{7}{2} \div 3$
232436	Solve for k	-4(-3-3k)-4=56	$- 4 (- 3 - 3 k) - 4 = 56$
232437	Simplify	(1+a^3)/(1+a)	$\frac{(1 + a^{3})}{(1 + a)}$
232438	Simplify	(-5x)^2(i)	${(- 5 x)}^{2} (i)$
232439	Simplify	(p^2x^3p^4)^3	${(p^{2} x^{3} p^{4})}^{3}$
232440	Solve for u	5u(u+2)+5=0	$5 u (u + 2) + 5 = 0$
232441	Simplify	limit as x approaches 3 of (x^2-7x+12)/(x-3)	$lim_{x \to 3} \frac{x^{2} - 7 x + 12}{x - 3}$
232442	Simplify	2^-35^-27^0	$2^{- 3} \cdot 5^{- 2} \cdot 7^{0}$
232443	Simplify	(i)(6i)(4+6i)	$(i) (6 i) (4 + 6 i)$
232444	Evaluate	((-6a^-9b^5)/(2a^2b^-4))^4	${(\frac{- 6 a^{- 9} b^{5}}{2 a^{2} b^{- 4}})}^{4}$
232445	Simplify	(25^(1/2))(64^(1/3))	$(25^{\frac{1}{2}}) (64^{\frac{1}{3}})$
232446	Solve for y	(11y)/10-2=(9y)/8	$\frac{11 y}{10} - 2 = \frac{9 y}{8}$
232447	Simplify	((x^2+15x+50)/(-x^2-10x)*(x^2+10x+16)/(x^2+7x+10))÷((x^3+13x^2+40x)/(25-x^2))	$\frac{x^{2} + 15 x + 50}{- x^{2} - 10 x} \cdot \frac{x^{2} + 10 x + 16}{x^{2} + 7 x + 10} \div \frac{x^{3} + 13 x^{2} + 40 x}{25 - x^{2}}$
232448	Solve the Inequality for x	(x^2+4x-3)/(x^2+1)<x	$\frac{x^{2} + 4 x - 3}{x^{2} + 1} < x$
232449	Evaluate	9^(5x)=9^(4x-15)	$9^{5 x} = 9^{4 x - 15}$
232450	Evaluate	1/2(4)^1	$\frac{1}{2} {(4)}^{1}$
232451	Evaluate	((6^(1/5))/(6^(2/5)))^3	${(\frac{6^{\frac{1}{5}}}{6^{\frac{2}{5}}})}^{3}$
232452	Solve for x	x÷4>x-12	$x \div 4 > x - 12$
232453	Simplify	((x^6)/(x^3))^-2	${(\frac{x^{6}}{x^{3}})}^{- 2}$
232454	Solve the Inequality for a	1.25a+3>0.5a-6	$1.25 a + 3 > 0.5 a - 6$
232455	Solve for x	3x-2(6-x)=7x+2(5+x)-6	$3 x - 2 (6 - x) = 7 x + 2 (5 + x) - 6$
232456	Divide Using Synthetic Division	Use synthetic division to find the result when 4x^4-x^3+4x^2+2x-7 is divided by x+1	Use synthetic division to find the result when $4 x^{4} - x^{3} + 4 x^{2} + 2 x - 7$ is divided by $x + 1$
232457	Evaluate	(8x^3*12xy^7)/(3x^2y^4)-15x^2y^3	$\frac{8 x^{3} \cdot 12 x y^{7}}{3 x^{2} y^{4}} - 15 x^{2} y^{3}$
232458	Divide Using Long Polynomial Division	(2x^4+8x^3-25x^2-6x+14)/(x+6)	$\frac{2 x^{4} + 8 x^{3} - 25 x^{2} - 6 x + 14}{x + 6}$
232459	Solve the Rational Equation for x	8/(3x^2)=9/x+4/(3x^2)	$\frac{8}{3 x^{2}} = \frac{9}{x} + \frac{4}{3 x^{2}}$
232460	Multiply	5x+4*4x-4	$5 x + 4 \cdot 4 x - 4$
232461	Simplify	((x^2y^2)/(x^2y))^-3	${(\frac{x^{2} y^{2}}{x^{2} y})}^{- 3}$
232462	Simplify	5/( square root of 25r^3)	$\frac{5}{\sqrt{25 r^{3}}}$
232463	Simplify	30 square root of x+18 square root of 3-26 square root of 3-21 square root of x	$30 \sqrt{x} + 18 \sqrt{3} - 26 \sqrt{3} - 21 \sqrt{x}$
232464	Evaluate	y+(y^2-5)/(y^2-1)=(y^2+y+2)/(y+1)	$y + \frac{y^{2} - 5}{y^{2} - 1} = \frac{y^{2} + y + 2}{y + 1}$
232465	Solve the System of Inequalities	y>=3/4x+5 y<-5/2x-8	$y \geq \frac{3}{4} x + 5$ $y < - \frac{5}{2} x - 8$
232466	Find the Exact Value	csc(585)	$\csc (585)$
232467	Find the Degree, Leading Term, and Leading Coefficient	1/2x^2+3x-4x^3+6x^4-1	$\frac{1}{2} x^{2} + 3 x - 4 x^{3} + 6 x^{4} - 1$
232468	Evaluate	(4*7)÷9	$4 \cdot 7 \div 9$
232469	Simplify	(2 square root of 6)÷( square root of 2)	$2 \sqrt{6} \div \sqrt{2}$
232470	Factor	7xy-3n-x+21ny	$7 x y - 3 n - x + 21 n y$
232471	Solve for x	(2x)/3=10-24/x	$\frac{2 x}{3} = 10 - \frac{24}{x}$
232472	Rationalize the Denominator	( square root of 3)/(5- square root of 2)	$\frac{\sqrt{3}}{5 - \sqrt{2}}$
232473	Find All Complex Solutions	cube root of x=2	$\sqrt[3]{x} = 2$
232474	Simplify	square root of (5a^5)/(b^13)	$\sqrt{\frac{5 a^{5}}{b^{13}}}$
232475	Solve the Inequality for x	((x+2)(x-5)^2)/(x-4)<=0	$\frac{(x + 2) {(x - 5)}^{2}}{(x - 4)} \leq 0$
232476	Solve for p	(5p-7)^(1/3)+3=5	${(5 p - 7)}^{\frac{1}{3}} + 3 = 5$
232477	Find All Complex Solutions	z+16/(z+2)=6	$z + \frac{16}{z + 2} = 6$
232478	Solve for n	n-31/4=2	$n - \frac{31}{4} = 2$
232479	Simplify the Radical Expression	mp1/2	$m p \frac{1}{2}$
232480	Simplify	(11+i square root of 12)-(-8+i square root of 3)	$(11 + i \sqrt{12}) - (- 8 + i \sqrt{3})$
232481	Evaluate	(((72÷5)÷9)÷4)÷3*60	$72 \div 5 \div 9 \div 4 \div 3 \cdot 60$
232482	Solve the System of Inequalities	x<1 and x>-4	$x < 1$ and $x > - 4$
232483	Convert to a Percentage	0.6 as a percentage	$0.6$ as a percentage
232484	Find the LCD	(2x)/(x+1) and 1/(x^2-1)	$\frac{2 x}{x + 1}$ and $\frac{1}{x^{2} - 1}$
232485	Evaluate	95% of 60	$95 %$ of $60$
232486	Solve for x	log base 4 of 3x=4500	$\log_{4} (3 x) = 4500$
232487	Simplify	x/(x^2-1)-1/(x-1)	$\frac{x}{x^{2} - 1} - \frac{1}{x - 1}$
232488	Evaluate	( square root of 7)^(6x)=49^(x-6)	${(\sqrt{7})}^{6 x} = 49^{x - 6}$
232489	Solve for d	d=-16t^2+vt+h	$d = - 16 t^{2} + v t + h$
232490	Simplify	(27^(-1/3))^2	${(27^{- \frac{1}{3}})}^{2}$
232491	Evaluate	3-2/3-7/9	$3 - \frac{2}{3} - \frac{7}{9}$
232492	Simplify	(x^3y^5)(-y^7x)	$(x^{3} y^{5}) (- y^{7} x)$
232493	Simplify	(8x^4y^5x^-6y^-7)/(4x^2y^3x^-4y^-5)	$\frac{8 x^{4} y^{5} x^{- 6} y^{- 7}}{4 x^{2} y^{3} x^{- 4} y^{- 5}}$
232494	Rationalize the Denominator	( square root of 100x^2+ square root of 2 square root of 32x^4)/( square root of x^2+14-3 square root of x)	$\frac{\sqrt{100 x^{2}} + \sqrt{2} \sqrt{32 x^{4}}}{\sqrt{x^{2} + 14} - 3 \sqrt{x}}$
232495	Evaluate	2cos(x)^2+cos(x)-1=0	$2 \cos^{2} (x) + \cos (x) - 1 = 0$
232496	Convert to a Decimal	-230deg	$- 230$ degrees
232497	Solve for a	a=a	$a = a$
232498	Simplify the Radical Expression	sixth root of cube root of b^11	$\sqrt[6]{\sqrt[3]{b^{11}}}$
232499	Convert to a Decimal	9/10 written as a decimal is	$\frac{9}{10}$ written as a decimal is
232500	Graph	y=[[2x]]	$y = [\begin{array}{c} 2 x \end{array}]$