Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
211401	Simplify	(3ab^(1/2))/(9a^(1/2)b^2)	$\frac{3 a b^{\frac{1}{2}}}{9 a^{\frac{1}{2}} b^{2}}$
211402	Divide	(2 square root of 2)÷2	$2 \sqrt{2} \div 2$
211403	Simplify the Radical Expression	1/( square root of 2b^3)	$\frac{1}{\sqrt{2 b^{3}}}$
211404	Solve the System of Equations	y=-3 y=x-3	$y = - 3$ $y = x - 3$
211405	Solve the Inequality for x	\|2x+1\|+7>2	$\| 2 x + 1 \| + 7 > 2$
211406	Simplify	c^2d^3(5cd^7-3c^3d^2-4d^3)	$c^{2} d^{3} (5 c d^{7} - 3 c^{3} d^{2} - 4 d^{3})$
211407	Solve for m	2m^2+2/3m=0	$2 m^{2} + \frac{2}{3} m = 0$
211408	Solve the System of Equations	y=5x^2-7x-3 y=3x^2+3x+45	$y = 5 x^{2} - 7 x - 3$ $y = 3 x^{2} + 3 x + 45$
211409	Simplify the Radical Expression	(4 square root of 20+6 square root of 30-10 square root of 40)/(2 square root of 10)	$\frac{4 \sqrt{20} + 6 \sqrt{30} - 10 \sqrt{40}}{2 \sqrt{10}}$
211410	Solve for t	t*2/5=3/25	$t \cdot \frac{2}{5} = \frac{3}{25}$
211411	Simplify	square root of -8* square root of 24	$\sqrt{- 8 \cdot \sqrt{24}}$
211412	Divide	(2x^2-38-17x)/(3+2x)	$\frac{2 x^{2} - 38 - 17 x}{3 + 2 x}$
211413	Simplify	((sec(x)+1)(sec(x)-1))/(sin(x)^2)	$\frac{(\sec (x) + 1) (\sec (x) - 1)}{\sin^{2} (x)}$
211414	Simplify	((2^-1)/(2^0))^-2	${(\frac{2^{- 1}}{2^{0}})}^{- 2}$
211415	Find the Exact Value	(-( square root of 3)/2)/(-1/2)	$\frac{- \frac{\sqrt{3}}{2}}{- \frac{1}{2}}$
211416	Factor	(x^2-2)*2+2(x^2-2)-8	$(x^{2} - 2) \cdot 2 + 2 (x^{2} - 2) - 8$
211417	Write the Fraction in Simplest Form	(-5c^-2)/(-4(c^4)^4)	$\frac{- 5 c^{- 2}}{- 4 {(c^{4})}^{4}}$
211418	Simplify	(-8+6i)+(6-6i)+(7+6i)	$(- 8 + 6 i) + (6 - 6 i) + (7 + 6 i)$
211419	Simplify	12/(3y^2-10y-8)-3/(y^2-6y+8)	$\frac{12}{3 y^{2} - 10 y - 8} - \frac{3}{y^{2} - 6 y + 8}$
211420	Write in Standard Form	(a+b)(2a+3b)(2x-y)	$(a + b) (2 a + 3 b) (2 x - y)$
211421	Find the Degree	(zx^3)/9-x^3	$\frac{z x^{3}}{9} - x^{3}$
211422	Simplify	7/10m-1/3m+2m	$\frac{7}{10} m - \frac{1}{3} m + 2 m$
211423	Solve for x	square root of 2x-6- square root of 3x-14=0	$\sqrt{2 x - 6} - \sqrt{3 x - 14} = 0$
211424	Solve for b	8-(3b+5)=-5+2(b+1)	$8 - (3 b + 5) = - 5 + 2 (b + 1)$
211425	Simplify	4x^2 square root of 15xy*2xy square root of 98xy	$4 x^{2} \sqrt{15 x y} \cdot 2 x y \sqrt{98 x y}$
211426	Multiply	6m^3n^2(3m^5n^4+6m^3n)	$6 m^{3} n^{2} (3 m^{5} n^{4} + 6 m^{3} n)$
211427	Write in Slope-Intercept Form	2x+y<=8	$2 x + y \leq 8$
211428	Solve for y	y-5=-(4-y)	$y - 5 = - (4 - y)$
211429	Find the Domain and Range	f(x)=(x-3)^(1/2)	$f (x) = {(x - 3)}^{\frac{1}{2}}$
211430	Solve by Substitution	x=17-4y and y=x-2	$x = 17 - 4 y$ and $y = x - 2$
211431	Divide	((y^2-5y+4)/(y^2-1))÷((y^2-9)/(y^2+5y+4))	$\frac{y^{2} - 5 y + 4}{y^{2} - 1} \div \frac{y^{2} - 9}{y^{2} + 5 y + 4}$
211432	Find the Degree, Leading Term, and Leading Coefficient	f(x)=3/2(x-2)	$f (x) = \frac{3}{2} (x - 2)$
211433	Find the Domain and Range	f(x)=1/2x^(3/2)	$f (x) = \frac{1}{2} x^{\frac{3}{2}}$
211434	Rationalize the Denominator	sixth root of 64/y	$\sqrt[6]{\frac{64}{y}}$
211435	Solve for x	log of x-1/2 log of x+4=1	$\log (x) - \frac{1}{2} \log (x + 4) = 1$
211436	Multiply	3 square root of 22 square root of 8 square root of 3* square root of 6	$3 \sqrt{2} \cdot 2 \sqrt{8} \cdot \sqrt{3} \cdot \sqrt{6}$
211437	Solve for x	1/(2x-3)=1/(5-2x)	$\frac{1}{2 x - 3} = \frac{1}{5 - 2 x}$
211438	Simplify	((8x^2+24x)/(x^2-9))/((2x)/(15-5x))	$\frac{\frac{8 x^{2} + 24 x}{x^{2} - 9}}{\frac{2 x}{15 - 5 x}}$
211439	Simplify	(qr^6)^(1/2)	${(q r^{6})}^{\frac{1}{2}}$
211440	Solve for x	2/(x-2)+3/(x-3)=-5/(x^2-5x+6)	$\frac{2}{x - 2} + \frac{3}{x - 3} = - \frac{5}{x^{2} - 5 x + 6}$
211441	Solve by Addition/Elimination	6(x+y)=6 -2x-6y=-38	$6 (x + y) = 6$ $- 2 x - 6 y = - 38$
211442	Evaluate	((x+y)^-2(x+y)^4)/((x+y)^3)	$\frac{{(x + y)}^{- 2} {(x + y)}^{4}}{{(x + y)}^{3}}$
211443	Evaluate	(-4-3i)+(-6-9i)	$(- 4 - 3 i) + (- 6 - 9 i)$
211444	Solve the Rational Equation for m	square root of m/5=5	$\sqrt{\frac{m}{5}} = 5$
211445	Solve for x	6+ square root of 4x+8=9	$6 + \sqrt{4 x + 8} = 9$
211446	Solve for p	2x^2+px+4=0	$2 x^{2} + p x + 4 = 0$
211447	Graph	y=3/2 square root of x+4	$y = \frac{3}{2} \sqrt{x} + 4$
211448	Solve the Inequality for k	15-5k>=0	$15 - 5 k \geq 0$
211449	Simplify	(x^1y^11y^-13)/(x^5)	$\frac{x^{1} y^{11} y^{- 13}}{x^{5}}$
211450	Simplify	(7y-4)(2y+3)-13y	$(7 y - 4) (2 y + 3) - 13 y$
211451	Simplify	((x^5y^-1)/(6y^2))^-2((x^2y^-2)/(9y))^2	${(\frac{x^{5} y^{- 1}}{6 y^{2}})}^{- 2} \cdot {(\frac{x^{2} \cdot y^{- 2}}{9 y})}^{2}$
211452	Simplify	square root of 81x* fourth root of 16x^10	$\sqrt{81 x} \cdot \sqrt[4]{16 x^{10}}$
211453	Simplify	(6x-4x^2-7x^3)-(9x^2-5x)	$(6 x - 4 x^{2} - 7 x^{3}) - (9 x^{2} - 5 x)$
211454	Solve for a	sin(a)=cos(a+40)	$\sin (a) = \cos (a + 40)$
211455	Find the Exact Value	(27 1/3)^3	${(27 \frac{1}{3})}^{3}$
211456	Convert to Radical Form	mp1/2	$m p \frac{1}{2}$
211457	Solve the System of Inequalities	3m+18>33 and -8m>=32	$3 m + 18 > 33$ and $- 8 m \geq 32$
211458	Solve by Addition/Elimination	2/3x+3/7y=-13/3 1/8x+3/7y=-13/4	$\frac{2}{3} x + \frac{3}{7} y = - \frac{13}{3}$ $\frac{1}{8} x + \frac{3}{7} y = - \frac{13}{4}$
211459	Simplify	(8y^2-32)/(4y^2-16)	$\frac{8 y^{2} - 32}{4 y^{2} - 16}$
211460	Simplify	(x^2-6x+12)+(2x^2+4x-10)	$(x^{2} - 6 x + 12) + (2 x^{2} + 4 x - 10)$
211461	Find the Domain and Range	f(x)=4* log base pi of x	$f (x) = 4 \cdot \log_{π} (x)$
211462	Simplify	((a^-1b)^2)/(ab^2)	$\frac{{(a^{- 1} b)}^{2}}{a b^{2}}$
211463	Solve for x	-3/5x+1/5>7/20	$- \frac{3}{5} x + \frac{1}{5} > \frac{7}{20}$
211464	Convert to Radical Form	((m^(-1/4))/(n^(-1/2)))^-4	${(\frac{m^{- \frac{1}{4}}}{n^{- \frac{1}{2}}})}^{- 4}$
211465	Evaluate	cube root of x=2	$\sqrt[3]{x} = 2$
211466	Simplify the Radical Expression	cube root of 5x* cube root of 25x^2	$\sqrt[3]{5 x} \cdot \sqrt[3]{25 x^{2}}$
211467	Solve for x	2(x-3 1/2)=10 3/4	$2 (x - 3 \frac{1}{2}) = 10 \frac{3}{4}$
211468	Factor	4a^4b^2+108ab^2	$4 a^{4} b^{2} + 108 a b^{2}$
211469	Simplify the Radical Expression	(3 square root of 2- square root of 3)(3 square root of 2+ square root of 3)	$(3 \sqrt{2} - \sqrt{3}) (3 \sqrt{2} + \sqrt{3})$
211470	Multiply	cube root of 5x* cube root of 25x^2	$\sqrt[3]{5 x} \cdot \sqrt[3]{25 x^{2}}$
211471	Solve for z	2(5-2z)=20-2(z-1)	$2 (5 - 2 z) = 20 - 2 (z - 1)$
211472	Simplify	3/(x+3)-(2x)/((x+3)(x+1))	$\frac{3}{x + 3} - \frac{2 x}{(x + 3) (x + 1)}$
211473	Solve for y	2y=x-4	$2 y = x - 4$
211474	Multiply	-3 square root of 7r^3*6 square root of 7r^2	$- 3 \sqrt{7 r^{3}} \cdot 6 \sqrt{7 r^{2}}$
211475	Solve for x	1/10+x=2/5	$\frac{1}{10} + x = \frac{2}{5}$
211476	Graph	f(t)=3t(t-3)(t+4)	$f (t) = 3 t (t - 3) (t + 4)$
211477	Simplify	26-3^2*2	$26 - 3^{2} \cdot 2$
211478	Simplify	(16a^4+16a)/(a^2+1-a)	$\frac{(16 a^{4} + 16 a)}{a^{2} + 1 - a}$
211479	Simplify the Radical Expression	-3ab square root of 50a^2b^2	$- 3 a b \sqrt{50 a^{2} b^{2}}$
211480	Solve for x	tan(x)^3=3tan(x)	$\tan^{3} (x) = 3 \tan (x)$
211481	Solve the System of Equations	3x+5y=3 x+2y=0	$3 x + 5 y = 3$ $x + 2 y = 0$
211482	Find the Degree	(a^4)/7+a^3-9a^5	$\frac{a^{4}}{7} + a^{3} - 9 a^{5}$
211483	Factor	The factored form of 10a+15k is	The factored form of $10 a + 15 k$ is
211484	Multiply	4(x^2+5x+6)	$4 (x^{2} + 5 x + 6)$
211485	Simplify the Radical Expression	( fourth root of 6)( cube root of 6)	$(\sqrt[4]{6}) (\sqrt[3]{6})$
211486	Find the Holes in the Graph	f(x)=((x+7)(x-3)(x+1))/((x-3)(x-5))	$f (x) = \frac{(x + 7) (x - 3) (x + 1)}{(x - 3) (x - 5)}$
211487	Solve by Graphing	y=-x+7 x=3	$y = - x + 7$ $x = 3$
211488	Solve for x	ax+2c=2bx+5d	$a x + 2 c = 2 b x + 5 d$
211489	Simplify the Radical Expression	(3x)/(4y) square root of x^3y^4	$\frac{3 x}{4 y} \sqrt{x^{3} y^{4}}$
211490	Solve for y	(y^2-5)^2+2(y^2-5)+1=0	${(y^{2} - 5)}^{2} + 2 (y^{2} - 5) + 1 = 0$
211491	Evaluate	(( square root of 8)/3)^2	${(\frac{\sqrt{8}}{3})}^{2}$
211492	Solve for r	1/r=1/(r^1)+1/(r^2)	$\frac{1}{r} = \frac{1}{r^{1}} + \frac{1}{r^{2}}$
211493	Convert to Radical Form	2(48/3)^(1/4)	$2 {(\frac{48}{3})}^{\frac{1}{4}}$
211494	Simplify	-4(x^2-5x+2)-7	$- 4 (x^{2} - 5 x + 2) - 7$
211495	Find the Product	(4+y)^3	${(4 + y)}^{3}$
211496	Simplify	(x+2 square root of 3i)(x-2 square root of 3i)	$(x + 2 \sqrt{3 i}) (x - 2 \sqrt{3 i})$
211497	Simplify	(-3x)^2(x^-3)(3x^5)	${(- 3 x)}^{2} (x^{- 3}) (3 x^{5})$
211498	Solve for u	4-(1-7u)^(1/3)=0	$4 - {(1 - 7 u)}^{\frac{1}{3}} = 0$
211499	Simplify	(2x^3y)/(3z^4)*(6xz^5)/(10y^5)	$\frac{2 x^{3} y}{3 z^{4}} \cdot \frac{6 x z^{5}}{10 y^{5}}$
211500	Multiply	(x^3-3x^2+1)*(x+3)	$(x^{3} - 3 x^{2} + 1) \cdot (x + 3)$