Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
237301	Simplify the Radical Expression	( cube root of 108)÷( cube root of 2)	$\sqrt[3]{108} \div \sqrt[3]{2}$
237302	Subtract	8x^2-5x+9-9x-7	$8 x^{2} - 5 x + 9 - 9 x - 7$
237303	Find the Exact Value	1/2*( square root of 2)/2	$\frac{1}{2} \cdot \frac{\sqrt{2}}{2}$
237304	Simplify	-(-2u+8)-3/4u	$- (- 2 u + 8) - \frac{3}{4} u$
237305	Evaluate	(11^2-10^2)*3	$(11^{2} - 10^{2}) \cdot 3$
237306	Solve for x	x^2-11=x+9	$x^{2} - 11 = x + 9$
237307	Subtract	12 1/2-(-4 1/2)	$12 \frac{1}{2} - (- 4 \frac{1}{2})$
237308	Solve the Inequality for x	3x+1>2x-5>x-7	$3 x + 1 > 2 x - 5 > x - 7$
237309	Solve for x	12/(2-x)=15/(7+x)	$\frac{12}{2 - x} = \frac{15}{7 + x}$
237310	Find g(f(n))	g(n)=n+3 f(n)=3n^3-3n	$g (n) = n + 3$ $f (n) = 3 n^{3} - 3 n$
237311	Write in Standard Form	(x-6)(x+3)=x(2x-5)	$(x - 6) (x + 3) = x (2 x - 5)$
237312	Simplify	(x^(1/2)*x^(-3/4))/(x^(1/4))	$\frac{x^{\frac{1}{2}} \cdot x^{- \frac{3}{4}}}{x^{\frac{1}{4}}}$
237313	Solve for n	5/6(12n-18)=17+10n	$\frac{5}{6} (12 n - 18) = 17 + 10 n$
237314	Simplify	( cube root of 3q^7)( cube root of 32q^3)	$(\sqrt[3]{3 q^{7}}) (\sqrt[3]{32 q^{3}})$
237315	Simplify the Radical Expression	-5x^-3	$- 5 x^{- 3}$
237316	Find the Exact Value	\|1+i\|	$\| 1 + i \|$
237317	Simplify	2/3 square root of -72	$\frac{2}{3} \sqrt{- 72}$
237318	Rationalize the Denominator	(2x cube root of 2)/( cube root of 4x^2)	$\frac{2 x \sqrt[3]{2}}{\sqrt[3]{4 x^{2}}}$
237319	Solve for x	e^(sin(x))=0	$e^{\sin (x)} = 0$
237320	Solve for x	-2*8^(4-x)=-50	$- 2 \cdot 8^{4 - x} = - 50$
237321	Solve the System of Equations	y=-x^2-3x-10 10=x-y	$y = - x^{2} - 3 x - 10$ $10 = x - y$
237322	Solve the Inequality for x	3x(x+1)<=x(x+5)	$3 x (x + 1) \leq x (x + 5)$
237323	Graph Using a Table of Values	f(x)=-1/2x^2	$f (x) = - \frac{1}{2} x^{2}$
237324	Evaluate	-(49)1/2	$- (49) \frac{1}{2}$
237325	Simplify	(32x^35y^15)/(8x^2y^5)*(4xy)^2	$\frac{32 x^{35} y^{15}}{8 x^{2} y^{5}} \cdot {(4 x y)}^{2}$
237326	Graph	g(x)<=- square root of x-3-2	$g (x) \leq - \sqrt{x - 3} - 2$
237327	Solve for x	7/8x-1/2=3/16x+5	$\frac{7}{8} x - \frac{1}{2} = \frac{3}{16} x + 5$
237328	Evaluate	2pi*2/pi	$2 π \cdot \frac{2}{π}$
237329	Factor	x^2+(1/x)^2+2-3x-3/x	$x^{2} + {(\frac{1}{x})}^{2} + 2 - 3 x - \frac{3}{x}$
237330	Find the Holes in the Graph	(x+7)/(x^2+x-42)	$\frac{x + 7}{x^{2} + x - 42}$
237331	Find the Roots (Zeros)	4x^2-12x+11=2	$4 x^{2} - 12 x + 11 = 2$
237332	Find the Domain and Range	x^3-10x^2+27x-18	$x^{3} - 10 x^{2} + 27 x - 18$
237333	Simplify	(3pi)/4-2pi	$\frac{3 π}{4} - 2 π$
237334	Graph	f(x)=-3*sin(4/3x)	$f (x) = - 3 \cdot \sin (\frac{4}{3} x)$
237335	Reduce	square root of 72	$\sqrt{72}$
237336	Evaluate	9/5c+32=f	$\frac{9}{5} c + 32 = f$
237337	Describe the Transformation	f(x)=-2 cube root of x	$f (x) = - 2 \sqrt[3]{x}$
237338	Multiply	(5x-20)/(4x^2-25)*(2x-5)/(5x+3)	$\frac{5 x - 20}{4 x^{2} - 25} \cdot \frac{2 x - 5}{5 x + 3}$
237339	Plot	y<x-3	$y < x - 3$
237340	Factor	x^3+x^2-20x=0	$x^{3} + x^{2} - 20 x = 0$
237341	Simplify	10/( square root of 3)*2	$\frac{10}{\sqrt{3}} \cdot 2$
237342	Simplify	(2 square root of 9-x^2)^2	${(2 \sqrt{9 - x^{2}})}^{2}$
237343	Convert to Radical Form	(64/125)^(-2/3)	${(\frac{64}{125})}^{- \frac{2}{3}}$
237344	Evaluate	(tan(pi/4))/2+1/(csc(pi/6))	$\frac{\tan (\frac{π}{4})}{2} + \frac{1}{\csc (\frac{π}{6})}$
237345	Simplify	square root of 50x^2y+x square root of 8y+3x square root of 2y	$\sqrt{50 x^{2} y} + x \sqrt{8 y} + 3 x \sqrt{2 y}$
237346	Find the x and y Intercepts	f(x)=1/2x^2-5x+21/2	$f (x) = \frac{1}{2} x^{2} - 5 x + \frac{21}{2}$
237347	Simplify	(4 square root of 3)/(2 square root of 3)	$\frac{4 \sqrt{3}}{2 \sqrt{3}}$
237348	Find the GCF	x^3y^2+x^2y+x	$x^{3} y^{2} + x^{2} y + x$
237349	Evaluate	144/360(2pi*13)	$\frac{144}{360} (2 π \cdot 13)$
237350	Solve for x	x+4(x-5)=4(x-2)	$x + 4 (x - 5) = 4 (x - 2)$
237351	Find the Inverse	d=0.2t^(3/2)	$d = 0.2 t^{\frac{3}{2}}$
237352	Solve for x	8(4-2x)=4(3-5x)+4x	$8 (4 - 2 x) = 4 (3 - 5 x) + 4 x$
237353	Simplify the Radical Expression	( square root of 5a^5)/( square root of b^13)	$\frac{\sqrt{5 a^{5}}}{\sqrt{b^{13}}}$
237354	Simplify the Radical Expression	( square root of 3- square root of 6+ square root of 12- square root of 24)*( square root of 6)/2	$(\sqrt{3} - \sqrt{6} + \sqrt{12} - \sqrt{24}) \cdot \frac{\sqrt{6}}{2}$
237355	Solve for x	square root of 6+5x+ square root of 3x+4=2	$\sqrt{6 + 5 x} + \sqrt{3 x + 4} = 2$
237356	Solve for x	(2x-5)^2-(x-6)^2=80	${(2 x - 5)}^{2} - {(x - 6)}^{2} = 80$
237357	Simplify	(-1-i)/(4+4i)	$\frac{- 1 - i}{4 + 4 i}$
237358	Graph Using a Table of Values	y=(x-1)^2+2	$y = {(x - 1)}^{2} + 2$
237359	Evaluate	(4x^(5/4))/(2x^(1/2))	$\frac{4 x^{\frac{5}{4}}}{2 x^{\frac{1}{2}}}$
237360	Graph	x<5 or x>=8	$x < 5$ or $x \geq 8$
237361	Evaluate	-4+y<-8	$- 4 + y < - 8$
237362	Simplify	-2x^2+4-7x^2-4x+2-2+4x	$- 2 x^{2} + 4 - 7 x^{2} - 4 x + 2 - 2 + 4 x$
237363	Simplify	1+ square root of 1	$1 + \sqrt{1}$
237364	Evaluate the Function	f(0)=5(0)+1	$f (0) = 5 (0) + 1$
237365	Simplify the Radical Expression	(3 square root of 5)( square root of 6)( square root of 12)	$(3 \sqrt{5}) (\sqrt{6}) (\sqrt{12})$
237366	Simplify	10/(3 square root of 20)	$\frac{10}{3 \sqrt{20}}$
237367	Simplify	(x^2-1)/(x^2+3x+2)*(x+2)/(x^2-2x+1)	$\frac{x^{2} - 1}{x^{2} + 3 x + 2} \cdot \frac{x + 2}{x^{2} - 2 x + 1}$
237368	Find All Complex Solutions	2cos(x)^2+3cos(x)-2=0	$2 \cos^{2} (x) + 3 \cos (x) - 2 = 0$
237369	Convert to Radical Form	(x-2y)^(-2/3)	${(x - 2 y)}^{- \frac{2}{3}}$
237370	Graph	x+12/x=7	$x + \frac{12}{x} = 7$
237371	Solve for θₐ	s_a-s_b=r_atheta_a-r_btheta_b	$s_{a} - s_{b} = r_{a} θ_{a} - r_{b} θ_{b}$
237372	Solve for B	R=4(B-A)	$R = 4 (B - A)$
237373	Simplify	2 2/5/2 1/10	$\frac{2 \frac{2}{5}}{2 \frac{1}{10}}$
237374	Solve for x	square root of 5x+1-6=0	$\sqrt{5 x + 1 - 6} = 0$
237375	Solve for x	12+4-2-x=8	$12 + 4 - 2 - x = 8$
237376	Solve for y	5x-8y=40 ; for y	$5 x - 8 y = 40$ ; for $y$
237377	Solve for y	5y+4-2y=9	$5 y + 4 - 2 y = 9$
237378	Find the Domain and Range	y=csc(2x)	$y = \csc (2 x)$
237379	Simplify	3/(7x)-(2x)/5	$\frac{3}{7 x} - \frac{2 x}{5}$
237380	Solve the Rational Equation for a	15/(a^2-1)=5/(2a-2)	$\frac{15}{a^{2} - 1} = \frac{5}{2 a - 2}$
237381	Solve by Substitution	y=x^2-1 -7=-x^2-y	$y = x^{2} - 1$ $- 7 = - x^{2} - y$
237382	Solve the Rational Equation for x	1/(x-1)+5=11/(x-1)	$\frac{1}{x - 1} + 5 = \frac{11}{x - 1}$
237383	Simplify	((2x^2+3x-14)/(3x^2-2x-5))÷((2x-4)/(3x-5))	$\frac{2 x^{2} + 3 x - 14}{3 x^{2} - 2 x - 5} \div \frac{2 x - 4}{3 x - 5}$
237384	Simplify the Radical Expression	(3 square root of 20)/(2 square root of 4)	$\frac{3 \sqrt{20}}{2 \sqrt{4}}$
237385	Simplify	(p+r)(p-r)(p+r)	$(p + r) (p - r) (p + r)$
237386	Simplify	(2x^2y^3)^4(-xy^2)^2	${(2 x^{2} y^{3})}^{4} {(- x y^{2})}^{2}$
237387	Simplify	5f^2g(-2(fg^3))g^4	$(5 f^{2} g) (- 2 f g^{3}) (g^{4})$
237388	Divide	(10 square root of 2)/2	$\frac{10 \sqrt{2}}{2}$
237389	Graph Using a Table of Values	f(x) = square root of x+6	$f (x) = \sqrt{x + 6}$
237390	Graph	y<2x-5 2x+2y>8	$y < 2 x - 5$ $2 x + 2 y > 8$
237391	Write the Fraction in Simplest Form	3/2*10/9	$\frac{3}{2} \cdot \frac{10}{9}$
237392	Solve the Absolute Value Inequality for y	\|y\|+1=3	$\| y \| + 1 = 3$
237393	Solve for x	square root of 3x-8-9=-7	$\sqrt{3 x - 8 - 9} = - 7$
237394	Solve for x	\|x/2-1/3\|=1	$\| \frac{x}{2} - \frac{1}{3} \| = 1$
237395	Divide	((35x^2+50x)/(5x))÷((7x^2+66x+80)/(3x-3))	$\frac{35 x^{2} + 50 x}{5 x} \div \frac{7 x^{2} + 66 x + 80}{3 x - 3}$
237396	Solve for x	0.2(x+3)-0.4(x+3)=-0.2x-0.6	$0.2 (x + 3) - 0.4 (x + 3) = - 0.2 x - 0.6$
237397	Solve for n	0.3325=(n^2-1)/(3n^2)	$0.3325 = \frac{n^{2} - 1}{3 n^{2}}$
237398	Solve the System of Equations	y=x^2-4x+2 y=-3/4x-1	$y = x^{2} - 4 x + 2$ $y = - \frac{3}{4} x - 1$
237399	Subtract	(5r)/(r^2-9)-(4r+1)/(r^2-6r+9)	$\frac{5 r}{r^{2} - 9} - \frac{4 r + 1}{r^{2} - 6 r + 9}$
237400	Simplify	(j^2+7j+6)/(12j^3-14j^2-10j)	$\frac{j^{2} + 7 j + 6}{12 j^{3} - 14 j^{2} - 10 j}$