Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
204501	Solve for x	x+x/4=13	$x + \frac{x}{4} = 13$
204502	Solve for m	4 square root of 5m-20=16	$4 \sqrt{5 m - 20} = 16$
204503	Evaluate	((q^6)^-2)/(q^-16)	$\frac{{(q^{6})}^{- 2}}{q^{- 16}}$
204504	Divide	(30c^2+19ac-63a^2)/(6c-7a)	$\frac{30 c^{2} + 19 a c - 63 a^{2}}{6 c - 7 a}$
204505	Solve the Inequality for x	y<3x+1	$y < 3 x + 1$
204506	Simplify the Radical Expression	1/( cube root of 12)	$\frac{1}{\sqrt[3]{12}}$
204507	Solve for q	20-16q=-5q-20-9q	$20 - 16 q = - 5 q - 20 - 9 q$
204508	Solve the System of Equations	1/4x+1/3y=1/12 1/4(-x+y)=-5/4	$\frac{1}{4} x + \frac{1}{3} y = \frac{1}{12}$ $\frac{1}{4} (- x + y) = - \frac{5}{4}$
204509	Simplify	((2xy^3)^2)^3	${({(2 x y^{3})}^{2})}^{3}$
204510	Simplify	(2x+4)/((2x+1)(3x-4))+(x-2)/((2x+1)(3x-4))	$\frac{2 x + 4}{(2 x + 1) (3 x - 4)} + \frac{x - 2}{(2 x + 1) (3 x - 4)}$
204511	Graph	x+y<=-1 x+y>=3	$x + y \leq - 1$ $x + y \geq 3$
204512	Find the Degree, Leading Term, and Leading Coefficient	4x^3-x^2-(x^5)/9+5x+1	$4 x^{3} - x^{2} - \frac{x^{5}}{9} + 5 x + 1$
204513	Solve for x	5+30=x+10	$5 + 30 = x + 10$
204514	Solve for x	2^(x-1)*4^(2x+1)=64	$2^{x - 1} \cdot 4^{2 x + 1} = 64$
204515	Simplify	1÷( square root of x- square root of y)	$1 \div (\sqrt{x} - \sqrt{y})$
204516	Solve for x	4(x+2)^(1/5)-1=7	$4 {(x + 2)}^{\frac{1}{5}} - 1 = 7$
204517	Simplify	fourth root of (243k^3)/(3k^7)	$\sqrt[4]{\frac{243 k^{3}}{3 k^{7}}}$
204518	Solve for z	1/2z+6=3/2(z+6)	$\frac{1}{2} z + 6 = \frac{3}{2} (z + 6)$
204519	Simplify	b^0*b^(1/5)	$b^{0} \cdot b^{\frac{1}{5}}$
204520	Simplify	(14y)÷((7y)/(y-3))	$14 y \div \frac{7 y}{y - 3}$
204521	Solve Using the Quadratic Formula	w(7w-10)+4=0	$w (7 w - 10) + 4 = 0$
204522	Simplify the Radical Expression	(32x^4y^7)^(1/5)	${(32 x^{4} y^{7})}^{\frac{1}{5}}$
204523	Simplify	a square root of b+ square root of a^2b- square root of ab^3	$a \sqrt{b} + \sqrt{a^{2} b} - \sqrt{a b^{3}}$
204524	Simplify	fourth root of square root of e^12f^6g^18	$\sqrt[4]{\sqrt{e^{12} f^{6} g^{18}}}$
204525	Solve for x	x-20=(20+x)/3	$x - 20 = \frac{20 + x}{3}$
204526	Simplify	((b^2)/(-2b^5*ab^2))^0	${(\frac{b^{2}}{- 2 b^{5} \cdot a b^{2}})}^{0}$
204527	Evaluate	-10*(24-4^2)	$- 10 \cdot (24 - 4^{2})$
204528	Simplify the Radical Expression	((9^3)/(6^3))^(-1/3)	${(\frac{9^{3}}{6^{3}})}^{- \frac{1}{3}}$
204529	Solve for m	-4 = cube root of m+2	$- 4 = \sqrt[3]{m + 2}$
204530	Simplify	((c^4)/(c^8))^(3/4)	${(\frac{c^{4}}{c^{8}})}^{\frac{3}{4}}$
204531	Simplify	4b^0(6b^7)^-2	$4 b^{0} {(6 b^{7})}^{- 2}$
204532	Simplify	-9(-10n-4-7n^2)-7n	$- 9 (- 10 n - 4 - 7 n^{2}) - 7 n$
204533	Convert to Radical Form	(3x^(1/2))(4x^(2/3))	$(3 x^{\frac{1}{2}}) (4 x^{\frac{2}{3}})$
204534	Solve for y	square root of y=y+3	$\sqrt{y} = y + 3$
204535	Solve for X	16(X^2-2)+13=-10	$16 (X^{2} - 2) + 13 = - 10$
204536	Describe the Transformation	f(x)=-(x+2)^3-1	$f (x) = - {(x + 2)}^{3} - 1$
204537	Evaluate	log of 8+ log of 10- log of 2	$\log (8) + \log (10) - \log (2)$
204538	Simplify	i^2(3+i)	$i^{2} (3 + i)$
204539	Solve for x	4+(5(7-x))/9=-1	$4 + \frac{5 (7 - x)}{9} = - 1$
204540	Solve for x	square root of 4x+5- square root of x+1=1	$\sqrt{4 x + 5} - \sqrt{x + 1} = 1$
204541	Solve for r	5 = square root of r-3	$5 = \sqrt{r - 3}$
204542	Solve for p	p=(144p)/y	$p = \frac{144 p}{y}$
204543	Simplify	((5-5 square root of x)(5+5 square root of x))/( square root of x(x-5)(5+5 square root of x))	$\frac{(5 - 5 \sqrt{x}) (5 + 5 \sqrt{x})}{(\sqrt{x} (x - 5) (5 + 5 \sqrt{x}))}$
204544	Graph Using a Table of Values	f(x)=3^(x-2)-7	$f (x) = 3^{x - 2} - 7$
204545	Evaluate	n root of a/b=(n root of a)/(n root of b)	$\sqrt[n]{\frac{a}{b}} = \frac{\sqrt[n]{a}}{\sqrt[n]{b}}$
204546	Solve for s	-14-11+s=-4s+20	$- 14 - 11 + s = - 4 s + 20$
204547	Solve for x	cube root of 8x^3+27=2x+3	$\sqrt[3]{8 x^{3} + 27} = 2 x + 3$
204548	Simplify the Radical Expression	4x cube root of 64x^5	$4 x \sqrt[3]{64 x^{5}}$
204549	Evaluate	(x^-2x^-3)^4	${(x^{- 2} x^{- 3})}^{4}$
204550	Simplify	(5x^2)/(7x^2)	$\frac{5 x^{2}}{7 x^{2}}$
204551	Solve for x	0.5(x^2+5x+136)^(2/3)=50	$0.5 {(x^{2} + 5 x + 136)}^{\frac{2}{3}} = 50$
204552	Simplify	(-3a^2b)(6ab^4c)	$(- 3 a^{2} b) (6 a b^{4} c)$
204553	Simplify	((w^8)/w)^(1/14)	${(\frac{w^{8}}{w})}^{\frac{1}{14}}$
204554	Simplify	(xy^2)^3*(x^-2)	${(x y^{2})}^{3} \cdot (x^{- 2})$
204555	Find the Degree, Leading Term, and Leading Coefficient	f(x)=x^4-5x^2-10x^3+6+10x	$f (x) = x^{4} - 5 x^{2} - 10 x^{3} + 6 + 10 x$
204556	Evaluate	(-5x^2-9x+6)+(6x^2+10)	$(- 5 x^{2} - 9 x + 6) + (6 x^{2} + 10)$
204557	Simplify	(x+3)/(x^2-4x+4)*(x^2-x-2)/(x^2+4x+3)	$\frac{x + 3}{x^{2} - 4 x + 4} \cdot \frac{x^{2} - x - 2}{x^{2} + 4 x + 3}$
204558	Simplify	cube root of 4x^3* cube root of 4x^5	$\sqrt[3]{4 x^{3}} \cdot \sqrt[3]{4 x^{5}}$
204559	Factor by Grouping	4x^(a+2)+20x^a	$4 x^{a + 2} + 20 x^{a}$
204560	Find the Excluded Values	(v-5)/(v^2-10v+25)	$\frac{v - 5}{v^{2} - 10 v + 25}$
204561	Solve for t	12-11+2t=8+t	$12 - 11 + 2 t = 8 + t$
204562	Write in Standard Form	(4m+n)(m-2n)	$(4 m + n) (m - 2 n)$
204563	Simplify	( cube root of 24* cube root of 12)/( cube root of 2)	$\frac{\sqrt[3]{24} \cdot \sqrt[3]{12}}{\sqrt[3]{2}}$
204564	Solve the Inequality for x	(2x)/3+1/2>x-5	$\frac{2 x}{3} + \frac{1}{2} > x - 5$
204565	Simplify	((5^-3)/(5^6))^-6	${(\frac{5^{- 3}}{5^{6}})}^{- 6}$
204566	Simplify the Radical Expression	(10+3 square root of 7)(10-3 square root of 7)	$(10 + 3 \sqrt{7}) (10 - 3 \sqrt{7})$
204567	Simplify	((st^8)/(rt^4))^2	${(\frac{s t^{8}}{r t^{4}})}^{2}$
204568	Graph	f(x)=2x+6 y=-2/3x-6 h(x)=-2x+6 f(x)=1 y=2/3x-6	$f (x) = 2 x + 6$ $y = - \frac{2}{3} x - 6$ $h (x) = - 2 x + 6$ $f (x) = 1$ $y = \frac{2}{3} x - 6$
204569	Solve for x	3^(2x^2+10x)=9^(10x-6)	$3^{2 x^{2} + 10 x} = 9^{10 x - 6}$
204570	Simplify the Radical Expression	( cube root of -16)^3	${(\sqrt[3]{- 16})}^{3}$
204571	Simplify the Radical Expression	2/(-4x+4 square root of 5x)	$\frac{2}{- 4 x + 4 \sqrt{5 x}}$
204572	Graph	y<x-1 y>=x+1	$y < x - 1$ $y \geq x + 1$
204573	Graph	y<2x-4 y<2	$y < 2 x - 4$ $y < 2$
204574	Solve for m	(mx+ny)^2=4x^2+12xy+9y^2	${(m x + n y)}^{2} = 4 x^{2} + 12 x y + 9 y^{2}$
204575	Solve for n	n/(n+1)=3/5	$\frac{n}{n + 1} = \frac{3}{5}$
204576	Simplify	(5+ square root of -36)-(-4- square root of -49)	$(5 + \sqrt{- 36}) - (- 4 - \sqrt{- 49})$
204577	Solve the Rational Equation for x	x^(4/3)-10x^(2/3)+9=0	$x^{\frac{4}{3}} - 10 x^{\frac{2}{3}} + 9 = 0$
204578	Solve for x	25^2=125^(x+1)	$25^{2} = 125^{x + 1}$
204579	Simplify	sixth root of 1/(z^6*z^-8)	$\sqrt[6]{\frac{1}{z^{6} \cdot z^{- 8}}}$
204580	Solve the System of Inequalities	7x+39>=53 and 16x+15>31	$7 x + 39 \geq 53$ and $16 x + 15 > 31$
204581	Solve the Inequality for r	r-10>-7	$r - 10 > - 7$
204582	Find the GCF	20-35n^2-20n^3	$20 - 35 n^{2} - 20 n^{3}$
204583	Simplify	2a+b-c-d+4a-3b-2c+5d	$2 a + b - c - d + 4 a - 3 b - 2 c + 5 d$
204584	Solve for x	2x^(1/3)-2=0	$2 x^{\frac{1}{3}} - 2 = 0$
204585	Simplify	square root of 1/128c^4d^7	$\sqrt{\frac{1}{128} c^{4} d^{7}}$
204586	Solve for t	-10+2t=-20-16t+17t	$- 10 + 2 t = - 20 - 16 t + 17 t$
204587	Simplify	- square root of 121x^4y^6z^8	$- \sqrt{121 x^{4} y^{6} z^{8}}$
204588	Graph	x^2+y^2>=36 x^2+9(y+6)^2<=36	$x^{2} + y^{2} \geq 36$ $x^{2} + 9 {(y + 6)}^{2} \leq 36$
204589	Solve for y	4(3y+5)=y-8(-y-4)	$4 (3 y + 5) = y - 8 (- y - 4)$
204590	Find the Product	2x(x^2+x-5)	$2 x (x^{2} + x - 5)$
204591	Solve for r	square root of r+12=2+ square root of r	$\sqrt{r + 12} = 2 + \sqrt{r}$
204592	Simplify	(4^(2/3))^3	${(4^{\frac{2}{3}})}^{3}$
204593	Solve for x	2- fourth root of 2x-6=14	$2 - \sqrt[4]{2 x - 6} = 14$
204594	Factor	25x^2+16-40x-64y^2	$25 x^{2} + 16 - 40 x - 64 y^{2}$
204595	Describe the Transformation	y=2 square root of x-5	$y = 2 \sqrt{x - 5}$
204596	Write the Fraction in Simplest Form	(20z^10)/((5z^-2)^3)	$\frac{20 z^{10}}{{(5 z^{- 2})}^{3}}$
204597	Simplify	(56x^4y^5-49x^3y^6-35x^2y^3)/(7x^2y^2)	$\frac{56 x^{4} y^{5} - 49 x^{3} y^{6} - 35 x^{2} y^{3}}{7 x^{2} y^{2}}$
204598	Simplify the Radical Expression	30 root of 32d^20n^15p^25	$\sqrt[30]{32 d^{20} n^{15} p^{25}}$
204599	Simplify	fourth root of (4a^3b^2)/(2a^2b^3)	$\sqrt[4]{\frac{4 a^{3} b^{2}}{2 a^{2} b^{3}}}$
204600	Simplify/Condense	1/3( natural log of 64- natural log of 8x^3)	$\frac{1}{3} (\ln (64) - \ln (8 x^{3}))$