Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
201501	Solve the System of Equations	3x+2y=4 2y=8-5x	$3 x + 2 y = 4$ $2 y = 8 - 5 x$
201502	Simplify	square root of 25/36r^2t	$\sqrt{\frac{25}{36} r^{2} t}$
201503	Simplify	2/5ab^2-16a+3/4ab^2-6/5a^2b+12a-3/5a^2b	$\frac{2}{5} a b^{2} - 16 a + \frac{3}{4} a b^{2} - \frac{6}{5} a^{2} b + 12 a - \frac{3}{5} a^{2} b$
201504	Simplify	((4^0c^2d^3f)/(2c^-4d^-5))^-3	${(\frac{4^{0} c^{2} d^{3} f}{2 c^{- 4} d^{- 5}})}^{- 3}$
201505	Simplify	cube root of 5^5* square root of 5	$\sqrt[3]{5^{5}} \cdot \sqrt{5}$
201506	Simplify	(4x^-2y^4)/(8x^3(y^-2)^3)	$\frac{4 x^{- 2} y^{4}}{8 x^{3} {(y^{- 2})}^{3}}$
201507	Solve for n	x^2*x^n=(x^3)^4	$x^{2} \cdot x^{n} = {(x^{3})}^{4}$
201508	Simplify the Radical Expression	square root of 24+ square root of 54	$\sqrt{24} + \sqrt{54}$
201509	Simplify	(2x)/y-4/x	$\frac{2 x}{y} - \frac{4}{x}$
201510	Graph	-y<=3x+4 -3x+3y<=-9	$- y \leq 3 x + 4$ $- 3 x + 3 y \leq - 9$
201511	Graph	y+3=2^x	$y + 3 = 2^{x}$
201512	Simplify	cube root of 9xy^2*3 cube root of 3x^4y^6	$\sqrt[3]{9 x y^{2}} \cdot 3 \sqrt[3]{3 x^{4} y^{6}}$
201513	Solve for x	24/(2x-4)=(x+6)/39	$\frac{24}{2 x - 4} = \frac{x + 6}{39}$
201514	Simplify the Radical Expression	square root of 8x^5y^6z^13	$\sqrt{8 x^{5} y^{6} z^{13}}$
201515	Solve for p	9p-3p-5=19	$9 p - 3 p - 5 = 19$
201516	Simplify the Radical Expression	cube root of 8/512	$\sqrt[3]{\frac{8}{512}}$
201517	Solve for x	2=(4^(1/3))(2^(x/3))	$2 = (4^{\frac{1}{3}}) (2^{\frac{x}{3}})$
201518	Simplify	((x^2y^-3)/(z^2))^-1	${(\frac{x^{2} y^{- 3}}{z^{2}})}^{- 1}$
201519	Solve for x	square root of x-3 = square root of 2x	$\sqrt{x - 3} = \sqrt{2 x}$
201520	Simplify	((5x-20)/6)÷((15x)/4)	$\frac{5 x - 20}{6} \div \frac{15 x}{4}$
201521	Solve for x	x+8=(x^2+16)^(1/2)	$x + 8 = {(x^{2} + 16)}^{\frac{1}{2}}$
201522	Simplify the Radical Expression	cube root of 1/9	$\sqrt[3]{\frac{1}{9}}$
201523	Divide	( square root of 8)÷( square root of 2)	$\sqrt{8} \div \sqrt{2}$
201524	Divide Using Long Polynomial Division	(8x^5-10x^3-3x)÷(-2x^3+3x)	$(8 x^{5} - 10 x^{3} - 3 x) \div (- 2 x^{3} + 3 x)$
201525	Expand the Logarithmic Expression	log of ( square root of y)/(4y+8)	$\log (\frac{\sqrt{y}}{4 y + 8})$
201526	Factor	y(a-c)+5a-5c	$y (a - c) + 5 a - 5 c$
201527	Simplify	(8a^3(b^5)^2)/(2a^5b^3)	$\frac{8 a^{3} {(b^{5})}^{2}}{2 a^{5} b^{3}}$
201528	Simplify	(m-n)(x+c)	$(m - n) (x + c)$
201529	Simplify	square root of (4x^6y^2)/(49xy^6)	$\sqrt{\frac{4 x^{6} y^{2}}{49 x y^{6}}}$
201530	Write in Slope-Intercept Form	2x-y<3	$2 x - y < 3$
201531	Find the Equation Using Slope-Intercept Form	(4,3) ; slope 1/2	$(4, 3)$ ; slope $\frac{1}{2}$
201532	Simplify	((-6x^4y^6)^2)/((-4x^-3y^5)^3)	$\frac{{(- 6 x^{4} y^{6})}^{2}}{{(- 4 x^{- 3} y^{5})}^{3}}$
201533	Solve the Inequality for x	6 square root of 8x-32-13<=11	$6 \sqrt{8 x - 32} - 13 \leq 11$
201534	Solve the Inequality for x	2 square root of x-8<24	$2 \sqrt{x - 8} < 24$
201535	Factor	a^2b-4a-ab^4+4b^3	$a^{2} b - 4 a - a b^{4} + 4 b^{3}$
201536	Simplify	cube root of (4x-7)^24	$\sqrt[3]{{(4 x - 7)}^{24}}$
201537	Solve for d	3d+16=-2(5-3d)	$3 d + 16 = - 2 (5 - 3 d)$
201538	Solve the Inequality for x	-1/2+x<3x-2<=5/2+x	$- \frac{1}{2} + x < 3 x - 2 \leq \frac{5}{2} + x$
201539	Simplify	( square root of 32)÷( square root of 2)	$\sqrt{32} \div \sqrt{2}$
201540	Graph	f(x)=1/8*4^(x+1)	$f (x) = \frac{1}{8} \cdot 4^{x + 1}$
201541	Solve for x	11 cube root of 3-2x-6=60	$11 \sqrt[3]{3 - 2 x - 6} = 60$
201542	Simplify	(42x^-4y^10z^3)/(6x^2y^-2z)	$\frac{42 x^{- 4} y^{10} z^{3}}{6 x^{2} y^{- 2} z}$
201543	Multiply	8 square root of 3x* square root of 15x	$8 \sqrt{3 x} \cdot \sqrt{15 x}$
201544	Solve the Inequality for z	z/-2-6<=-2	$\frac{z}{- 2} - 6 \leq - 2$
201545	Solve for j	-0.66(j+1)+7.48j=6.71j	$- 0.66 (j + 1) + 7.48 j = 6.71 j$
201546	Evaluate	(12^(4(10-8)))/4+5	$\frac{12^{4 (10 - 8)}}{4} + 5$
201547	Evaluate	1/16=64^(4x-3)	$\frac{1}{16} = 64^{4 x - 3}$
201548	Solve for u	5u+9-4u=17	$5 u + 9 - 4 u = 17$
201549	Simplify the Radical Expression	sixth root of 8m^9n^12	$\sqrt[6]{8 m^{9} n^{12}}$
201550	Simplify	cube root of 216/729	$\sqrt[3]{\frac{216}{729}}$
201551	Write Using Positive Exponents	(4^-3a^0)/(b^-7)	$\frac{4^{- 3} a^{0}}{b^{- 7}}$
201552	Identify the Conic	r=2/(1-cos(theta))	$r = \frac{2}{1 - \cos (θ)}$
201553	Solve the Inequality for v	55>-7v+6	$55 > - 7 v + 6$
201554	Simplify	3/(6u)+(3u)/(4v)	$\frac{3}{6 u} + \frac{3 u}{4 v}$
201555	Evaluate the Function	f(x)=3-x at x=2	$f (x) = 3 - x$ at $x = 2$
201556	Simplify	(x+(y-2))^3	${(x + (y - 2))}^{3}$
201557	Simplify	(-1/2)*(m^2+2n-p)	$(- \frac{1}{2}) \cdot (m^{2} + 2 n - p)$
201558	Simplify	(3y^2-19y)/(y^2-25)+(y^2-y)/(y^2-25)	$\frac{3 y^{2} - 19 y}{y^{2} - 25} + \frac{y^{2} - y}{y^{2} - 25}$
201559	Simplify	(i^4-i^2)/(i^3)	$\frac{i^{4} - i^{2}}{i^{3}}$
201560	Write in Slope-Intercept Form	3x+y>=6	$3 x + y \geq 6$
201561	Simplify	((-3x^-6y^-1z^-2)/(6x^-2yz^-5))^-2	${(\frac{- 3 x^{- 6} y^{- 1} z^{- 2}}{6 x^{- 2} y z^{- 5}})}^{- 2}$
201562	Solve for x	25^(-6x-69)=(1/5)^(3x^2+3)	$25^{- 6 x - 69} = {(\frac{1}{5})}^{3 x^{2} + 3}$
201563	Find the Inverse	f(x)=1/2(x-1)^3	$f (x) = \frac{1}{2} {(x - 1)}^{3}$
201564	Simplify	9/(9^(-4/5))	$\frac{9}{9^{- \frac{4}{5}}}$
201565	Find All Complex Solutions	6- square root of x-2=x+4	$6 - \sqrt{x - 2} = x + 4$
201566	Evaluate	-5^22^33^0	$- 5^{2} \cdot 2^{3} \cdot 3^{0}$
201567	Simplify	3(p+0.05p)	$3 (p + 0.05 p)$
201568	Simplify	(12w^9v^4)/((4wv)^2)	$\frac{12 w^{9} v^{4}}{{(4 w v)}^{2}}$
201569	Solve for t	8(-0.17t+0.47)+0.32=-0.02(94t+30)	$8 (- 0.17 t + 0.47) + 0.32 = - 0.02 (94 t + 30)$
201570	Simplify	square root of cube root of 1458m^7	$\sqrt{\sqrt[3]{1458 m^{7}}}$
201571	Solve the Inequality for x	2 square root of 3x+6-8<=4	$2 \sqrt{3 x + 6} - 8 \leq 4$
201572	Graph	y<1/2x+1 y<-2x+2	$y < \frac{1}{2} x + 1$ $y < - 2 x + 2$
201573	Solve for x	(4x)/(x-1)+x/(x-2)=0	$\frac{4 x}{x - 1} + \frac{x}{x - 2} = 0$
201574	Find All Complex Solutions	-3/(x+3)=x/(x+3)-x/5	$\frac{- 3}{x + 3} = \frac{x}{x + 3} - \frac{x}{5}$
201575	Solve for x	5/2=3/(2(x+5))+2/(x+5)	$\frac{5}{2} = \frac{3}{2 (x + 5)} + \frac{2}{x + 5}$
201576	Simplify	(-3x^2-5x+2)/(x^3+2x^2)	$\frac{- 3 x^{2} - 5 x + 2}{x^{3} + 2 x^{2}}$
201577	Simplify	(3^2m^6t^8)/(3^6m^9t^-6)	$\frac{3^{2} m^{6} t^{8}}{3^{6} m^{9} t^{- 6}}$
201578	Solve for x	1125=9x^3	$1125 = 9 x^{3}$
201579	Find the Product	(a+b^2-c^3)^2	${(a + b^{2} - c^{3})}^{2}$
201580	Simplify	cube root of 9- square root of 4- square root of 9	$\sqrt[3]{9 - \sqrt{4 - \sqrt{9}}}$
201581	Solve for n	n/(n-4)+n=(12-4n)/(n-4)	$\frac{n}{n - 4} + n = \frac{12 - 4 n}{n - 4}$
201582	Solve the System of Equations	y=-5x y=x-6	$y = - 5 x$ $y = x - 6$
201583	Simplify	( fourth root of 2)(2 fourth root of 32)	$(\sqrt[4]{2}) (2 \sqrt[4]{32})$
201584	Graph	f(x)=2-(x-1)^3	$f (x) = 2 - {(x - 1)}^{3}$
201585	Solve for P	M=2P+3Q	$M = 2 P + 3 Q$
201586	Simplify	3*2x+9z+2-4x-1	$3 \cdot 2 x + 9 z + 2 - 4 x - 1$
201587	Convert to a Decimal	12rad	$12$ radians
201588	Simplify the Radical Expression	square root of (x+5)^6	$\sqrt{{(x + 5)}^{6}}$
201589	Simplify	square root of 72x^5+2x^2 square root of 18x-x square root of 2x^3	$\sqrt{72 x^{5}} + 2 x^{2} \sqrt{18 x} - x \sqrt{2 x^{3}}$
201590	Simplify	3(14÷(4^2-3^2)-5)	$3 (14 \div (4^{2} - 3^{2}) - 5)$
201591	Simplify	(16(x^3y)^2)/(2(xy^0)^4)	$\frac{16 {(x^{3} y)}^{2}}{2 {(x y^{0})}^{4}}$
201592	Graph	2^(x+1)>32	$2^{x + 1} > 32$
201593	Simplify	(4/(3x^7))÷((x-2)/(9x^5))	$\frac{4}{3 x^{7}} \div \frac{x - 2}{9 x^{5}}$
201594	Simplify	(a(x-2y))/(b(2y-x))	$\frac{a (x - 2 y)}{b (2 y - x)}$
201595	Simplify	(7x^(3/2))/(-14x^(1/3))	$\frac{7 x^{\frac{3}{2}}}{- 14 x^{\frac{1}{3}}}$
201596	Simplify	sixth root of (64h^12)/(g^6)	$\sqrt[6]{\frac{64 h^{12}}{g^{6}}}$
201597	Simplify the Radical Expression	square root of 49(x^3+4)^6	$\sqrt{49 {(x^{3} + 4)}^{6}}$
201598	Simplify	7 square root of 3y^2*2 square root of 6x^3y	$7 \sqrt{3 y^{2}} \cdot 2 \sqrt{6 x^{3} y}$
201599	Write as a Single Logarithm	1/2( log base 6 of 45- log base 6 of 5)+ log base 6 of 12	$\frac{1}{2} (\log_{6} (45) - \log_{6} (5)) + \log_{6} (12)$
201600	Simplify	((5y^2)/(1-y^2))÷(1-1/(1-y))	$\frac{5 y^{2}}{1 - y^{2}} \div (1 - \frac{1}{1 - y})$