Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
200501	Simplify	square root of 12-5 cube root of 8-7 square root of 20	$\sqrt{12} - 5 \sqrt[3]{8} - 7 \sqrt{20}$
200502	Find the Roots (Zeros)	f(x)=(x-2)^2(x+3)(x+1)^2	$f (x) = {(x - 2)}^{2} (x + 3) {(x + 1)}^{2}$
200503	Find the Product	(3x^ay^bz^c)(-y^fz^g)	$(3 x^{a} y^{b} z^{c}) (- y^{f} z^{g})$
200504	Simplify	(x^(1/2))^4 square root of x^6	${(x^{\frac{1}{2}})}^{4} \sqrt{x^{6}}$
200505	Solve for a	a(g-h)=m	$a (g - h) = m$
200506	Solve the System of Inequalities	-4a+13>=29 and 10<6a-14	$- 4 a + 13 \geq 29$ and $10 < 6 a - 14$
200507	Solve the Inequality for x	-0.25 square root of x-6<=-3	$- 0.25 \sqrt{x} - 6 \leq - 3$
200508	Solve for x	(8^(x/2))/(4^(x/3))=2^(-5/2)	$\frac{8^{\frac{x}{2}}}{4^{\frac{x}{3}}} = 2^{- \frac{5}{2}}$
200509	Solve for a	cube root of 3a+9 = cube root of 6a+15	$\sqrt[3]{3 a + 9} = \sqrt[3]{6 a + 15}$
200510	Simplify	m^8n*m^3n^5	$m^{8} n \cdot m^{3} n^{5}$
200511	Describe the Transformation	y=-2(x+5)^3	$y = - 2 {(x + 5)}^{3}$
200512	Solve for x	3+ cube root of 4x-8=1	$3 + \sqrt[3]{4 x - 8} = 1$
200513	Divide	(16a^4-40a^2+24a)/(12a^3)	$\frac{16 a^{4} - 40 a^{2} + 24 a}{12 a^{3}}$
200514	Find the Product	(3x^3y^2)(-6y^5)	$(3 x^{3} y^{2}) (- 6 y^{5})$
200515	Simplify	((1-h^2)/(2h^2-10h-12))÷((2h-2)/6)	$\frac{1 - h^{2}}{2 h^{2} - 10 h - 12} \div \frac{2 h - 2}{6}$
200516	Solve the Inequality for w	w-5<=2w	$w - 5 \leq 2 w$
200517	Evaluate	2(8x-4)-2x<=14x+12	$2 (8 x - 4) - 2 x \leq 14 x + 12$
200518	Simplify	square root of 5+3 square root of 5+2 square root of 5	$\sqrt{5} + 3 \sqrt{5} + 2 \sqrt{5}$
200519	Simplify	square root of cube root of 16	$\sqrt{\sqrt[3]{16}}$
200520	Solve for z	square root of z^12=-z^6	$\sqrt{z^{12}} = - z^{6}$
200521	Solve for x	5/2=2/(x+3)-2	$\frac{5}{2} = \frac{2}{x + 3} - 2$
200522	Simplify	(-5i)(2i)(-3i)^2	$(- 5 i) (2 i) {(- 3 i)}^{2}$
200523	Simplify	square root of 4r^8g^1p^3	$\sqrt{4 r^{8} g^{1} p^{3}}$
200524	Find the Domain and Range	y^2=x^2-3	$y^{2} = x^{2} - 3$
200525	Graph	y>=x-1 y<-2x+2	$y \geq x - 1$ $y < - 2 x + 2$
200526	Solve the Inequality for x	(x-2)/(x+3)<=5/3	$\frac{x - 2}{x + 3} \leq \frac{5}{3}$
200527	Solve for t	-8t=-9t+6	$- 8 t = - 9 t + 6$
200528	Simplify the Radical Expression	fifth root of 32/x	$\sqrt[5]{\frac{32}{x}}$
200529	Solve the System of Inequalities	-9x+2>18 or 13x+15<=-4	$- 9 x + 2 > 18$ or $13 x + 15 \leq - 4$
200530	Simplify the Radical Expression	cube root of square root of 27	$\sqrt[3]{\sqrt{27}}$
200531	Simplify	(1/3x^5)^3*81x^4	${(\frac{1}{3} x^{5})}^{3} \cdot 81 x^{4}$
200532	Solve the Rational Equation for x	square root of 25-3x=x-9	$\sqrt{25 - 3 x} = x - 9$
200533	Simplify	12 root of 4a^2b^4c^2	$\sqrt[12]{4 a^{2} b^{4} c^{2}}$
200534	Find the Domain and Range	f(x)=1/2*5^(-x)-1	$f (x) = \frac{1}{2} \cdot 5^{- x} - 1$
200535	Simplify	((3x)/(10a^3))÷(1/(5a^2))	$\frac{3 x}{10 a^{3}} \div \frac{1}{5 a^{2}}$
200536	Solve for x	1/(2(x+3))-3/(2x)=1/(x+3)	$\frac{1}{2 (x + 3)} - \frac{3}{2 x} = \frac{1}{x + 3}$
200537	Solve for x	(x-1)^3-5=0	${(x - 1)}^{3} - 5 = 0$
200538	Factor	24ab-16a^2-9b^2	$24 a b - 16 a^{2} - 9 b^{2}$
200539	Simplify	1/6x+3/4(1/2x-4)	$\frac{1}{6} x + \frac{3}{4} (\frac{1}{2} x - 4)$
200540	Solve for v	-9(-v-10)=-10-v	$- 9 (- v - 10) = - 10 - v$
200541	Write in Standard Form	f(x)=2-11x+2x^2	$f (x) = 2 - 11 x + 2 x^{2}$
200542	Solve for a	b/(a^2)=16	$\frac{b}{a^{2}} = 16$
200543	Simplify the Radical Expression	3 square root of 3+6 square root of 3-1/2 square root of 3	$3 \sqrt{3} + 6 \sqrt{3} - \frac{1}{2} \sqrt{3}$
200544	Solve for A	(tan(x)+sec(x))^2=(A+sin(x))/(B-sin(x))	${(\tan (x) + \sec (x))}^{2} = \frac{A + \sin (x)}{B - \sin (x)}$
200545	Graph	square root of cos(x)cos(300x)+ square root of \|x\|-9.3*(4-x^2)^0.01	$\sqrt{\cos (x)} \cdot \cos (300 \cdot x) + \sqrt{\| x \|} - 9.3 \cdot {(4 - x^{2})}^{0.01}$
200546	Evaluate	(2^33^2)/(2^43^2)	$\frac{2^{3} \cdot 3^{2}}{2^{4} \cdot 3^{2}}$
200547	Simplify	cube root of -3x^2* cube root of 24x^5	$\sqrt[3]{- 3 x^{2}} \cdot \sqrt[3]{24 x^{5}}$
200548	Find the Domain and Range	2-3/(x-1)	$2 - \frac{3}{x - 1}$
200549	Evaluate	11-3*2+2^3+90÷6	$11 - 3 \cdot 2 + 2^{3} + 90 \div 6$
200550	Simplify	((4x^8)/(2x^6))^4	${(\frac{4 x^{8}}{2 x^{6}})}^{4}$
200551	Simplify	(6^0tu^-5)/(2^5)	$\frac{6^{0} t u^{- 5}}{2^{5}}$
200552	Simplify	(-27x^3(-x^7))/(16x^4)	$\frac{- 27 x^{3} (- x^{7})}{16 x^{4}}$
200553	Evaluate	square root of 64+(3^2+(9-4(6-1))+5)	$\sqrt{64} + (3^{2} + (9 - 4 (6 - 1)) + 5)$
200554	Solve for k	k^2+5k+25/4=0	$k^{2} + 5 k + \frac{25}{4} = 0$
200555	Solve for d	5d-8=1+5d	$5 d - 8 = 1 + 5 d$
200556	Simplify the Radical Expression	(9 square root of 2)/( square root of 10+ square root of 18)	$\frac{9 \sqrt{2}}{\sqrt{10} + \sqrt{18}}$
200557	Find the Product	(5p^3)(-m^8p^2)	$(5 p^{3}) (- m^{8} p^{2})$
200558	Simplify	(x^-2-y^-2)^-1	${(x^{- 2} - y^{- 2})}^{- 1}$
200559	Evaluate	(x^3)(x^-17)	$(x^{3}) (x^{- 17})$
200560	Simplify	square root of a( square root of a^3-7)	$\sqrt{a} (\sqrt{a^{3}} - 7)$
200561	Simplify the Radical Expression	- square root of 2( square root of 10-4 square root of 6)	$- \sqrt{2} (\sqrt{10} - 4 \sqrt{6})$
200562	Factor	8x^5y^2-27x^2y^5	$8 x^{5} y^{2} - 27 x^{2} y^{5}$
200563	Simplify the Radical Expression	5 3/4	$5 \frac{3}{4}$
200564	Evaluate	12(14/2)-3^3+15-9^2	$12 (\frac{14}{2}) - 3^{3} + 15 - 9^{2}$
200565	Simplify	(2+3 square root of 3)/( square root of 3+5)	$\frac{2 + 3 \sqrt{3}}{\sqrt{3} + 5}$
200566	Expand the Logarithmic Expression	log base 7 of fourth root of 5w+2	$\log_{7} (\sqrt[4]{5 w + 2})$
200567	Solve for b	b/(d-g)=n	$\frac{b}{d - g} = n$
200568	Simplify	(4x)/(x-9)+3/2	$\frac{4 x}{x - 9} + \frac{3}{2}$
200569	Solve for x	(2^(x/2))(4^(x/2))=2^6	$(2^{\frac{x}{2}}) (4^{\frac{x}{2}}) = 2^{6}$
200570	Solve for x	x/3+(x-1)/4=2+x	$\frac{x}{3} + \frac{x - 1}{4} = 2 + x$
200571	Solve for w	2(v-3)=1-(w+4)	$2 (v - 3) = 1 - (w + 4)$
200572	Rationalize the Denominator	square root of (3m)/(2n)	$\sqrt{\frac{3 m}{2 n}}$
200573	Simplify	a/(c-3)-6/(3-c)	$\frac{a}{c - 3} - \frac{6}{3 - c}$
200574	Simplify	1/( square root of xy)	$\frac{1}{\sqrt{x y}}$
200575	Solve for p	square root of (p+2)^2=-5	$\sqrt{{(p + 2)}^{2}} = - 5$
200576	Solve for k	-3(5k+3)=-6k	$- 3 (5 k + 3) = - 6 k$
200577	Solve for x	y=x/2+3	$y = \frac{x}{2} + 3$
200578	Solve for x	2^(2x)-12*2^x+2^5=0	$2^{2 x} - 12 \cdot 2^{x} + 2^{5} = 0$
200579	Simplify	((a^2a^3)^2*a^4)÷(((a^-1)^-2)^3)	${(a^{2} a^{3})}^{2} \cdot a^{4} \div {({(a^{- 1})}^{- 2})}^{3}$
200580	Expand the Logarithmic Expression	log of (5x^3)/(2xy^3)	$\log (\frac{5 x^{3}}{2 x y^{3}})$
200581	Simplify	square root of (16u^7v^2)/(4uv^5)	$\sqrt{\frac{16 u^{7} v^{2}}{4 u v^{5}}}$
200582	Simplify	(x^2+9y^2)/(x-3y)+(6xy)/(3y-x)	$\frac{x^{2} + 9 y^{2}}{x - 3 y} + \frac{6 x y}{3 y - x}$
200583	Simplify	(a^4c^2e^0)/(b^-1d^-3)	$\frac{a^{4} c^{2} e^{0}}{b^{- 1} d^{- 3}}$
200584	Find the x and y Intercepts	f(x)=1/2*5^(-x)-1	$f (x) = \frac{1}{2} \cdot 5^{- x} - 1$
200585	Solve for x	5x^6=30	$5 x^{6} = 30$
200586	Rationalize the Denominator	square root of 4/5	$\sqrt{\frac{4}{5}}$
200587	Simplify	11x^3*7x^(7/3)	$11 x^{3} \cdot 7 x^{\frac{7}{3}}$
200588	Simplify	(5^(1/2)x^(1/4))^2	${(5^{\frac{1}{2}} x^{\frac{1}{4}})}^{2}$
200589	Solve for y	22y+7=8y	$22 y + 7 = 8 y$
200590	Find the Focus	(x-1)^2+8(y+2)=0	${(x - 1)}^{2} + 8 (y + 2) = 0$
200591	Simplify	(4 7/8x^2-6 3/5x)+(4 4/5x-2 3/8x^2)	$(4 \frac{7}{8} x^{2} - 6 \frac{3}{5} x) + (4 \frac{4}{5} x - 2 \frac{3}{8} x^{2})$
200592	Simplify	(x^2)/(x^2-16)+(8(x-2))/(16-x^2)	$\frac{x^{2}}{x^{2} - 16} + \frac{8 (x - 2)}{16 - x^{2}}$
200593	Simplify	(a^2+6a+9)/(a^2+6a+15)	$\frac{a^{2} + 6 a + 9}{a^{2} + 6 a + 15}$
200594	Write in Standard Form	3x-y^2=4x+25	$3 x - y^{2} = 4 x + 25$
200595	Solve for j	3j=9(j-10)	$3 j = 9 (j - 10)$
200596	Solve for x	-2x^2+5x+6=4x^2+5x	$- 2 x^{2} + 5 x + 6 = 4 x^{2} + 5 x$
200597	Simplify	2/3(6x-1/6)+3x	$\frac{2}{3} (6 x - \frac{1}{6}) + 3 x$
200598	Solve for g	-4g+4+4=10-2g	$- 4 g + 4 + 4 = 10 - 2 g$
200599	Solve the System of Equations	8x+2y=6 3y=-12x+9	$8 x + 2 y = 6$ $3 y = - 12 x + 9$
200600	Simplify the Radical Expression	square root of 7+ square root of 7	$\sqrt{7} + \sqrt{7}$