Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
205501	Simplify	-4*(-4)^-2	$- 4 \cdot {(- 4)}^{- 2}$
205502	Simplify	(a^6+b^6)/(a^2+b^2)	$\frac{a^{6} + b^{6}}{a^{2} + b^{2}}$
205503	Solve for p	2+ square root of 3p+7=6	$2 + \sqrt{3 p + 7} = 6$
205504	Simplify	(2+ square root of 3)/( square root of 3+ square root of 2)	$\frac{2 + \sqrt{3}}{\sqrt{3} + \sqrt{2}}$
205505	Solve the System of Equations	y=x^2-8x -2x+y=-21	$y = x^{2} - 8 x$ $- 2 x + y = - 21$
205506	Graph	f(x)=1/2(x-1)^3+3	$f (x) = \frac{1}{2} {(x - 1)}^{3} + 3$
205507	Find the x and y Intercepts	F(x) = cube root of x-5	$F (x) = \sqrt[3]{x - 5}$
205508	Find g(f(x))	f(x)=x+3 , g(x)=7x^2	$f (x) = x + 3$ , $g (x) = 7 x^{2}$
205509	Graph	4x-5y>=-35 y>-x-2	$4 x - 5 y \geq - 35$ $y > - x - 2$
205510	Solve the Absolute Value Inequality for x	\|x\|+x=0	$\| x \| + x = 0$
205511	Rationalize the Denominator	3/(2 square root of 2* square root of 3)	$\frac{3}{2 \sqrt{2} \cdot \sqrt{3}}$
205512	Solve for a	4/(3a)=-(3d)/r	$\frac{4}{3 a} = - \frac{3 d}{r}$
205513	Simplify	3x cube root of x^8y+x^2 cube root of x^5y	$3 x \sqrt[3]{x^{8} y} + x^{2} \sqrt[3]{x^{5} y}$
205514	Simplify the Radical Expression	-2 square root of 48a^3b^4c^2	$- 2 \sqrt{48 a^{3} b^{4} c^{2}}$
205515	Simplify	(2^-1+2^0)-(6^-1+6^0)	$(2^{- 1} + 2^{0}) - (6^{- 1} + 6^{0})$
205516	Solve by Graphing	y=-1/5x-3 y=x+3	$y = - \frac{1}{5} x - 3$ $y = x + 3$
205517	Simplify	(y^-2)^4+(y^3)/(y^5)	${(y^{- 2})}^{4} + \frac{y^{3}}{y^{5}}$
205518	Expand the Logarithmic Expression	log of x/( cube root of y^5z^2)	$\log (\frac{x}{\sqrt[3]{y^{5} z^{2}}})$
205519	Solve for x	2/3x-3/5+x=1/15-1/3x	$\frac{2}{3} x - \frac{3}{5} + x = \frac{1}{15} - \frac{1}{3} x$
205520	Solve for y	16^(-3y)*1/8=(1/32)^(2y-3)	$16^{- 3 y} \cdot \frac{1}{8} = {(\frac{1}{32})}^{2 y - 3}$
205521	Find the End Behavior	f(x)=-140x^4-3728x+3360-20x^5+580x^3+4x^6+520x^2	$f (x) = - 140 x^{4} - 3728 x + 3360 - 20 x^{5} + 580 x^{3} + 4 x^{6} + 520 x^{2}$
205522	Solve for y	xy-5x-7y+35=0	$x y - 5 x - 7 y + 35 = 0$
205523	Evaluate	(1/2x^4)^7	${(\frac{1}{2} x^{4})}^{7}$
205524	Simplify	fifth root of 32xy^6z^5	$\sqrt[5]{32 x y^{6} z^{5}}$
205525	Simplify	(16x^2y(y+x))/(12xy(x+y))	$\frac{16 x^{2} y (y + x)}{12 x y (x + y)}$
205526	Simplify	(xy)/( cube root of 9xy^2)	$\frac{x y}{\sqrt[3]{9 x y^{2}}}$
205527	Subtract	1/2-5/3	$\frac{1}{2} - \frac{5}{3}$
205528	Evaluate	(2z)/(z-2)-5/(z-4)=5	$\frac{2 z}{z - 2} - \frac{5}{z - 4} = 5$
205529	Simplify	(a^2+a-4)*(2a^2-a-1)	$(a^{2} + a - 4) \cdot (2 a^{2} - a - 1)$
205530	Simplify	cube root of 10^5* cube root of 10^2	$\sqrt[3]{10^{5}} \cdot \sqrt[3]{10^{2}}$
205531	Find the x and y Intercepts	y+3=2^x	$y + 3 = 2^{x}$
205532	Find the Domain and Range	f(x)=1/(\|x\|-3)	$f (x) = \frac{1}{\| x \| - 3}$
205533	Simplify	(a/(1+a)+(1-a)/a)/(a/(a-1)-(1+a)/a)	$\frac{\frac{a}{1 + a} + \frac{1 - a}{a}}{\frac{a}{a - 1} - \frac{1 + a}{a}}$
205534	Evaluate	square root of 3x+4=1+ square root of 3x-11	$\sqrt{3 x + 4} = 1 + \sqrt{3 x - 11}$
205535	Factor by Grouping	b^6-3b^4-2b^2+6	$b^{6} - 3 b^{4} - 2 b^{2} + 6$
205536	Rationalize the Denominator	(2+ square root of x)/(3-2 square root of x)	$\frac{2 + \sqrt{x}}{3 - 2 \sqrt{x}}$
205537	Find the Reciprocal	- square root of 3	$- \sqrt{3}$
205538	Convert to Interval Notation	(3x+2)/(x-4)<=7	$\frac{3 x + 2}{x - 4} \leq 7$
205539	Simplify the Radical Expression	-3 square root of 3(2+ square root of 6)	$- 3 \sqrt{3} (2 + \sqrt{6})$
205540	Solve by Addition/Elimination	a+4b=-4 a+10b=-16	$a + 4 b = - 4$ $a + 10 b = - 16$
205541	Evaluate the Function	f(x)=3x^2+2x-20 for x=3	$f (x) = 3 x^{2} + 2 x - 20$ for $x = 3$
205542	Simplify	5(x/y)^0	$5 {(\frac{x}{y})}^{0}$
205543	Simplify	(x-25)/(5x-25)+(3x+5)/(x^2-5x)	$\frac{x - 25}{5 x - 25} + \frac{3 x + 5}{x^{2} - 5 x}$
205544	Simplify	fourth root of 7^5* square root of 7^3	$\sqrt[4]{7^{5}} \cdot \sqrt{7^{3}}$
205545	Simplify	((x^2-64)^5)/((x^2-16x+64) square root of x+8)	$\frac{{(x^{2} - 64)}^{5}}{(x^{2} - 16 x + 64) \sqrt{x + 8}}$
205546	Solve for x	square root of x^2+6x=x+ square root of 2x	$\sqrt{x^{2} + 6 x} = x + \sqrt{2 x}$
205547	Solve for x	(8x)^(4/3)+44=300	${(8 x)}^{\frac{4}{3}} + 44 = 300$
205548	Solve for x	(1/9)^(x+3)=27^x	${(\frac{1}{9})}^{x + 3} = 27^{x}$
205549	Solve the Rational Equation for x	square root of 19x+24=-5 square root of x	$\sqrt{19 x + 24} = - 5 \sqrt{x}$
205550	Simplify	10/(10^(-4/5))	$\frac{10}{10^{- \frac{4}{5}}}$
205551	Simplify	(x-y)/x-(5y)/(x^2)*(x^2-xy)/(5y)	$\frac{x - y}{x} - \frac{5 y}{x^{2}} \cdot \frac{x^{2} - x y}{5 y}$
205552	Simplify	( fourth root of 7)/( square root of 7)	$\frac{\sqrt[4]{7}}{\sqrt[2]{7}}$
205553	Write the Fraction in Simplest Form	(3(v^5)^4)/(6v^5)	$\frac{3 {(v^{5})}^{4}}{6 v^{5}}$
205554	Write in Standard Form	13-c^3+5d^3-7c^2d^2	$13 - c^{3} + 5 d^{3} - 7 c^{2} d^{2}$
205555	Solve for x	6^(5x+1)=6^2	$6^{5 x + 1} = 6^{2}$
205556	Simplify	(3ab^2c)^2(-2a^2b^4)^2(a^4c^2)^3(a^2b^4c^5)^2(2a^3b^2c^4)^3	${(3 a b^{2} c)}^{2} {(- 2 a^{2} b^{4})}^{2} {(a^{4} c^{2})}^{3} {(a^{2} b^{4} c^{5})}^{2} {(2 a^{3} b^{2} c^{4})}^{3}$
205557	Find the Excluded Values	((x^2-3x-10)/(x-3))/((x+2)/(3x-9))	$\frac{\frac{x^{2} - 3 x - 10}{x - 3}}{\frac{x + 2}{3 x - 9}}$
205558	Solve the Inequality for x	2x+y>6	$2 x + y > 6$
205559	Convert to Radical Form	(x^(1/2))^(1/3)	${(x^{\frac{1}{2}})}^{\frac{1}{3}}$
205560	Simplify the Radical Expression	(9r^4)^(1/2)	${(9 r^{4})}^{\frac{1}{2}}$
205561	Graph	y=-1/4x+1 x-y=4	$y = - \frac{1}{4} x + 1$ $x - y = 4$
205562	Divide	(4x^4+5x-4)÷(x^2-3x-2)	$(4 x^{4} + 5 x - 4) \div (x^{2} - 3 x - 2)$
205563	Solve for x	3x^2=12-5x	$3 x^{2} = 12 - 5 x$
205564	Solve for x	1/(3(x+5))-2/(3x)=1/(x+5)	$\frac{1}{3 (x + 5)} - \frac{2}{3 x} = \frac{1}{x + 5}$
205565	Simplify	y^2 cube root of 125x^5y^5	$y^{2} \sqrt[3]{125 x^{5} y^{5}}$
205566	Solve for x	x^2-ax+bx-ab=0	$x^{2} - a x + b x - a b = 0$
205567	Graph	x>-3 y<-1/3x+3 y>x-1	$x > - 3$ $y < - \frac{1}{3} x + 3$ $y > x - 1$
205568	Simplify the Radical Expression	cube root of 3/2	$\sqrt[3]{\frac{3}{2}}$
205569	Simplify	(8 square root of 5)/(2 square root of 36)	$\frac{8 \sqrt{5}}{2 \sqrt{36}}$
205570	Find the Inverse	f(x)=-1/(x-1)+3	$f (x) = - \frac{1}{x - 1} + 3$
205571	Evaluate	((2x^3y^2)^3)/((3xy)^2)	$\frac{{(2 x^{3} y^{2})}^{3}}{{(3 x y)}^{2}}$
205572	Multiply	(3- square root of x)(3+ square root of x)	$(3 - \sqrt{x}) (3 + \sqrt{x})$
205573	Simplify/Condense	log base 3 of 6+2* log base 3 of x+1/2 log base 3 of 9	$\log_{3} (6) + 2 \cdot \log_{3} (x) + \frac{1}{2} \log_{3} (9)$
205574	Find the x and y Intercepts	f(x)=3(1/2)^x-4	$f (x) = 3 {(\frac{1}{2})}^{x} - 4$
205575	Evaluate	x/((2x^0)^2)	$\frac{x}{{(2 x^{0})}^{2}}$
205576	Solve for z	25^(z+2)=125	$25^{z + 2} = 125$
205577	Solve for x	5^(3x^2+12)=25^(-9x-6)	$5^{3 x^{2} + 12} = 25^{- 9 x - 6}$
205578	Multiply	cube root of 36* cube root of 6	$\sqrt[3]{36} \cdot \sqrt[3]{6}$
205579	Divide	(x^3+2x^2-x-2)÷(x+2)	$(x^{3} + 2 x^{2} - x - 2) \div (x + 2)$
205580	Simplify	(2x+i)^2	${(2 x + i)}^{2}$
205581	Solve the Inequality for k	\|1-3/4k\|>=7	$\| 1 - \frac{3}{4} k \| \geq 7$
205582	Simplify	(2sin(A)cos(A)-cos(A))/(1-sin(A)+sin(A)^2cos(A)^2) ?	$\frac{2 \sin (A) \cos (A) - \cos (A)}{1 - \sin (A) + \sin^{2} (A) \cos^{2} (A)}$ ?
205583	Find the Degree, Leading Term, and Leading Coefficient	f(t)=3t(t-3)(t+4)	$f (t) = 3 t (t - 3) (t + 4)$
205584	Solve the Inequality for x	-1/5x<=8	$- \frac{1}{5} x \leq 8$
205585	Solve for d	3- fourth root of 9d=0	$3 - \sqrt[4]{9 d} = 0$
205586	Simplify	( square root of 3+i square root of 2)/( square root of 3-i square root of 2)	$\frac{\sqrt{3} + i \sqrt{2}}{\sqrt{3} - i \sqrt{2}}$
205587	Solve Using the Quadratic Formula	7x^2-9x+12=5x^2-6	$7 x^{2} - 9 x + 12 = 5 x^{2} - 6$
205588	Solve for x	19+3=x+19	$19 + 3 = x + 19$
205589	Graph	f(x)=3x-1 if x>=-1; -5 if x<-1	$f (x) = {\begin{cases} 3 x - 1 & x \geq - 1 \\ - 5 & x < - 1 \end{cases}$
205590	Simplify	5(c+8)+c+3	$5 (c + 8) + c + 3$
205591	Simplify	square root of square root of 64	$\sqrt{\sqrt{64}}$
205592	Simplify	3 square root of 10(5 square root of 2-6 square root of 8)	$3 \sqrt{10} (5 \sqrt{2} - 6 \sqrt{8})$
205593	Simplify	(3 square root of 15)/( square root of 9)	$\frac{3 \sqrt{15}}{\sqrt{9}}$
205594	Simplify	26 root of (n^8)/(n^-5)	$\sqrt[26]{\frac{n^{8}}{n^{- 5}}}$
205595	Solve for x	-6x+2(5(x+1)+8)=38	$- 6 x + 2 (5 (x + 1) + 8) = 38$
205596	Convert to Interval Notation	x(x-5)^2(x+2)^2>0	$x {(x - 5)}^{2} {(x + 2)}^{2} > 0$
205597	Simplify	1/( square root of 2+ square root of 3)	$\frac{1}{\sqrt{2} + \sqrt{3}}$
205598	Simplify	fourth root of 256x^6* square root of 100x^9	$\sqrt[4]{256 x^{6}} \cdot \sqrt{100 x^{9}}$
205599	Find All Complex Solutions	x^4-11x^2=80	$x^{4} - 11 x^{2} = 80$
205600	Solve for g	-4g-20-16g=10-18g	$- 4 g - 20 - 16 g = 10 - 18 g$