Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
163301	Simplify	square root of 3 cube root of 2	$\sqrt{3} \sqrt[3]{2}$
163302	Graph	4x+8y<=8 4x+y<=8	$4 x + 8 y \leq 8$ $4 x + y \leq 8$
163303	Solve for a	z=9a-9-3b	$z = 9 a - 9 - 3 b$
163304	Find the Domain and Range	f(x,y)=x^2+y^2	$f (x, y) = x^{2} + y^{2}$
163305	Solve for a	0.6=1.1-a/3.4	$0.6 = 1.1 - \frac{a}{3.4}$
163306	Solve for x	3(x-7)=-21+3x	$3 (x - 7) = - 21 + 3 x$
163307	Solve the Inequality for x	7x<=6-3x^2	$7 x \leq 6 - 3 x^{2}$
163308	Write in Standard Form	-5-x^2-3x^3+(x^4)/10	$- 5 - x^{2} - 3 x^{3} + \frac{x^{4}}{10}$
163309	Divide	(3x^5+x^4-4x^2)/x	$\frac{3 x^{5} + x^{4} - 4 x^{2}}{x}$
163310	Solve for x	x^3-3x+2=0	$x^{3} - 3 x + 2 = 0$
163311	Simplify	(x+5)/(9x+27)*(x^2-9)/(x^2+2x-15)	$\frac{x + 5}{9 x + 27} \cdot \frac{x^{2} - 9}{x^{2} + 2 x - 15}$
163312	Find the Holes in the Graph	f(x)=(x^2+4x)/(-x-4)	$f (x) = \frac{x^{2} + 4 x}{- x - 4}$
163313	Factor	4a^4+3a^2b^2+9b^4	$4 a^{4} + 3 a^{2} b^{2} + 9 b^{4}$
163314	Evaluate	log base 1/2 of 1/4	$\log_{\frac{1}{2}} (\frac{1}{4})$
163315	Find the Exact Value	(1/3)^-2	${(\frac{1}{3})}^{- 2}$
163316	Solve the Inequality for s	5s+3<s+7	$5 s + 3 < s + 7$
163317	Divide	(-m^5n^2-1/2m^4n^4+2/3m^3n-4mn^4)÷(-4m^5n^3)	$(- m^{5} n^{2} - \frac{1}{2} m^{4} n^{4} + \frac{2}{3} m^{3} n - 4 m n^{4}) \div (- 4 m^{5} n^{3})$
163318	Describe the Transformation	y=f(x-4)	$y = f (x - 4)$
163319	Solve for x	x/2+2-x/12=x/6-5/4	$\frac{x}{2} + 2 - \frac{x}{12} = \frac{x}{6} - \frac{5}{4}$
163320	Find the Holes in the Graph	f(x)=(x-6)/(x^2-7x+6)	$f (x) = \frac{x - 6}{x^{2} - 7 x + 6}$
163321	Find the x and y Intercepts	f(x)=(5x^2)/(-3x^2-7x)	$f (x) = \frac{5 x^{2}}{- 3 x^{2} - 7 x}$
163322	Evaluate	5 log base 7 of sixth root of 49	$5 \log_{7} (\sqrt[6]{49})$
163323	Solve the Inequality for x	3(x+1)+11<-2(x+13)	$3 (x + 1) + 11 < - 2 (x + 13)$
163324	Graph	g(x)=-f(x)+2	$g (x) = - f (x) + 2$
163325	Divide	(2x^3-5x^2+x)/x	$\frac{2 x^{3} - 5 x^{2} + x}{x}$
163326	Solve the Inequality for x	2x^2+5x-3<=0	$2 x^{2} + 5 x - 3 \leq 0$
163327	Solve the Inequality for x	x^2+4x>0	$x^{2} + 4 x > 0$
163328	Solve for a	ra=5q-ma	$r a = 5 q - m a$
163329	Divide	(x^5-3x^2+2x)/x	$\frac{x^{5} - 3 x^{2} + 2 x}{x}$
163330	Simplify	(2x-10)/(x+8)*(x^2-64)/(x^2+3x-40)	$\frac{2 x - 10}{x + 8} \cdot \frac{x^{2} - 64}{x^{2} + 3 x - 40}$
163331	Simplify	(4x^2+7x^3y^2)-(-6x^2-7x^3y^2-4x)-(10x+9x^2)	$(4 x^{2} + 7 x^{3} y^{2}) - (- 6 x^{2} - 7 x^{3} y^{2} - 4 x) - (10 x + 9 x^{2})$
163332	Solve for x	f(x)=3	$f (x) = 3$
163333	Rationalize the Denominator	1/( square root of 5+ square root of 3-1)	$\frac{1}{\sqrt{5} + \sqrt{3} - 1}$
163334	Solve the Inequality for x	-5x-7<28	$- 5 x - 7 < 28$
163335	Simplify	1^-2	$1^{- 2}$
163336	Graph	f(x)=(x-5)(x-1)^2(x-1)	$f (x) = (x - 5) {(x - 1)}^{2} (x - 1)$
163337	Solve the System of Equations	x+3y=9 -x-3y=-9	$x + 3 y = 9$ $- x - 3 y = - 9$
163338	Factor	x^2y^3+y^4	$x^{2} y^{3} + y^{4}$
163339	Solve the Inequality for x	(1/2)^x<1/8	${(\frac{1}{2})}^{x} < \frac{1}{8}$
163340	Solve the Inequality for x	2x+1<5	$2 x + 1 < 5$
163341	Solve for x	3/2(2x+6)=3x+9	$\frac{3}{2} (2 x + 6) = 3 x + 9$
163342	Find the Exact Value	(2pi)/2	$\frac{2 π}{2}$
163343	Write in Slope-Intercept Form	y=3(x-4)+6x	$y = 3 (x - 4) + 6 x$
163344	Solve for a	91=-7(3a-1)	$91 = - 7 (3 a - 1)$
163345	Solve for x	e^(2x)=e^(3x-1)	$e^{2 x} = e^{3 x - 1}$
163346	Simplify	7/(2(x+6)^2-4(x+6))	$\frac{7}{2 {(x + 6)}^{2} - 4 (x + 6)}$
163347	Solve for x	6x^(2/3)-x^(1/3)=12	$6 x^{\frac{2}{3}} - x^{\frac{1}{3}} = 12$
163348	Simplify	-5/3	$\frac{- 5}{3}$
163349	Simplify	-12y^3(2xy)	$- 12 y^{3} (2 x y)$
163350	Simplify	((7x^3)/(x^2+x-30))÷((x^2-6x)/(x^2-36))	$\frac{7 x^{3}}{x^{2} + x - 30} \div \frac{x^{2} - 6 x}{x^{2} - 36}$
163351	Simplify	square root of (u^8)/(u^18)	$\sqrt{\frac{u^{8}}{u^{18}}}$
163352	Factor	m^2+mn+mx+nx	$m^{2} + m n + m x + n x$
163353	Simplify	(csc(theta)^2)/(cot(theta)^2)	$\frac{\csc^{2} (θ)}{\cot^{2} (θ)}$
163354	Simplify	xy^3(-3xy^3)	$x y^{3} (- 3 x y^{3})$
163355	Find the Exact Value	cos(157.5 degrees )	$\cos (157.5 °)$
163356	Find the Exact Value	(-2/5y)-(-5/2y)	$(- \frac{2}{5} y) - (- \frac{5}{2} y)$
163357	Solve the Inequality for d	10d-5>11d-2	$10 d - 5 > 11 d - 2$
163358	Solve for n	4/(n+9)=2/7	$\frac{4}{n + 9} = \frac{2}{7}$
163359	Solve for a	a+4b=5b-3a	$a + 4 b = 5 b - 3 a$
163360	Solve the Inequality for n	3n-5<=4n+3	$3 n - 5 \leq 4 n + 3$
163361	Subtract	10x^2-10x+2 from -8x^2+7x-7	$10 x^{2} - 10 x + 2$ from $- 8 x^{2} + 7 x - 7$
163362	Factor	12m^2n+24m^3n^2-36m^4n^3	$12 m^{2} n + 24 m^{3} n^{2} - 36 m^{4} n^{3}$
163363	Simplify	(-35-15i)/(5i)	$\frac{- 35 - 15 i}{5 i}$
163364	Solve for x	8x-15x-30x-51x=53x+31x-172	$8 x - 15 x - 30 x - 51 x = 53 x + 31 x - 172$
163365	Solve for z	3z-5=2z+2	$3 z - 5 = 2 z + 2$
163366	Simplify	(-1/3)^2	${(- \frac{1}{3})}^{2}$
163367	Find the Product	(x+4)^3	${(x + 4)}^{3}$
163368	Solve the Inequality for m	4m-5<m+2	$4 m - 5 < m + 2$
163369	Graph	F(x)=1/(x^3)	$F (x) = \frac{1}{x^{3}}$
163370	Solve the Inequality for t	5t+1>=-t-1	$5 t + 1 \geq - t - 1$
163371	Simplify	3-2x+4-x^5+2x	$3 - 2 x + 4 - x^{5} + 2 x$
163372	Solve for x	x-8=-2+x-3x	$x - 8 = - 2 + x - 3 x$
163373	Solve the Inequality for x	x+5x-6<12	$x + 5 x - 6 < 12$
163374	Simplify	6x^0y^8-(2y^2)^4	$6 x^{0} y^{8} - {(2 y^{2})}^{4}$
163375	Solve for x	6=-5/6x	$6 = - \frac{5}{6} x$
163376	Simplify	5a+6a^2+7a^0-4a^2-9a	$5 a + 6 a^{2} + 7 a^{0} - 4 a^{2} - 9 a$
163377	Multiply	4*(-1/4)	$4 \cdot (- \frac{1}{4})$
163378	Find the Exact Value	i^3	$i^{3}$
163379	Evaluate	(2^8z^10)/(2^6z^3)	$\frac{2^{8} z^{10}}{2^{6} z^{3}}$
163380	Solve for x	x/(x+2)+2/(x^2+5x+6)=5/(x+3)	$\frac{x}{x + 2} + \frac{2}{x^{2} + 5 x + 6} = \frac{5}{x + 3}$
163381	Write in Standard Form	-x/9+8x^3-1	$- \frac{x}{9} + 8 x^{3} - 1$
163382	Evaluate	3^3+12÷3*5	$3^{3} + 12 \div 3 \cdot 5$
163383	Simplify	( square root of 5x)/(x square root of 20)	$\frac{\sqrt{5 x}}{x \sqrt{20}}$
163384	Solve for x	8x+2+3x+5=x+12	$8 x + 2 + 3 x + 5 = x + 12$
163385	Write in Standard Form	1-5x-1/3x^3	$1 - 5 x - \frac{1}{3} x^{3}$
163386	Divide	(x^3-5x^2)/x	$\frac{x^{3} - 5 x^{2}}{x}$
163387	Solve the Rational Equation for x	x/3=(7x)/(12x-15)	$\frac{x}{3} = \frac{7 x}{12 x - 15}$
163388	Simplify	(4x^4+8x^3)/(x^2-2x-8)	$\frac{4 x^{4} + 8 x^{3}}{x^{2} - 2 x - 8}$
163389	Factor	9x^6-2x^3y^2+(y^4)/9	$9 x^{6} - 2 x^{3} y^{2} + \frac{y^{4}}{9}$
163390	Evaluate	10^3-5 square root of 3^2+4^2-(9-12)(7-12)	$10^{3} - 5 \sqrt{3^{2} + 4^{2}} - (9 - 12) (7 - 12)$
163391	Solve the Inequality for x	x^3-4x>0	$x^{3} - 4 x > 0$
163392	Graph Using a Table of Values	g(x)=(1/4)^x	$g (x) = {(\frac{1}{4})}^{x}$
163393	Find the Holes in the Graph	f(x)=(4x^2-16)/(-5x+10)	$f (x) = \frac{4 x^{2} - 16}{- 5 x + 10}$
163394	Simplify	(x^5)/(x^4)*x	$\frac{x^{5}}{x^{4}} \cdot x$
163395	Graph	y>=x^2-49 x-y>=-7	$y \geq x^{2} - 49$ $x - y \geq - 7$
163396	Simplify	((x^3)/(x^2-16))÷((5x^3)/(x^2-8x+16))	$\frac{x^{3}}{x^{2} - 16} \div \frac{5 x^{3}}{x^{2} - 8 x + 16}$
163397	Simplify	(125xy^3)/(x^4y^8)	$\frac{125 x y^{3}}{x^{4} y^{8}}$
163398	Simplify	(x+7)/(x+8)*(x^2+x-56)/(x^2-49)	$\frac{x + 7}{x + 8} \cdot \frac{x^{2} + x - 56}{x^{2} - 49}$
163399	Solve for x	7/3(x+9/28)=20	$\frac{7}{3} (x + \frac{9}{28}) = 20$
163400	Find the First Term	a_n=3^n	$a_{n} = 3^{n}$