Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
227601	Evaluate	log base xy of 1/x+ log base xy of 1/y	$\log_{x y} (\frac{1}{x}) + \log_{x y} (\frac{1}{y})$
227602	Solve for a	4x=(a+b)/(8c)	$4 x = \frac{a + b}{8 c}$
227603	Find the Holes in the Graph	f(x)=(x^3-7x^2-x+7)/(x-7)	$f (x) = \frac{x^{3} - 7 x^{2} - x + 7}{x - 7}$
227604	Solve the System of Inequalities	r/5>-3 OR 4r<-100	$\frac{r}{5} > - 3$ OR $4 r < - 100$
227605	Solve for x	(x^2+3x+3)^(4/3)=1	${(x^{2} + 3 x + 3)}^{\frac{4}{3}} = 1$
227606	Graph	f(x)=(x-3)/(3x-9)	$f (x) = \frac{x - 3}{3 x - 9}$
227607	Solve the Inequality for b	18<-3b	$18 < - 3 b$
227608	Simplify	7^0+8(3)^0	$7^{0} + 8 {(3)}^{0}$
227609	Evaluate	(-4)(-4)(-4)yy	$(- 4) \cdot (- 4) \cdot (- 4) \cdot y \cdot y$
227610	Evaluate	(pi*4^2)/2	$\frac{π \cdot 4^{2}}{2}$
227611	Solve for m	\|(m-12)/4\|<19	$\| \frac{m - 12}{4} \| < 19$
227612	Find All Complex Solutions	a/6-10=a/3	$\frac{a}{6} - 10 = \frac{a}{3}$
227613	Simplify	(a+b)(a^3-a^2b+ab^2-b^3)	$(a + b) (a^{3} - a^{2} b + a b^{2} - b^{3})$
227614	Solve for r	2+r=7+6r	$2 + r = 7 + 6 r$
227615	Simplify the Radical Expression	-5 cube root of 14p*-4 cube root of 4p^3	$- 5 \sqrt[3]{14 p} \cdot - 4 \sqrt[3]{4 p^{3}}$
227616	Simplify	6/(10p)*2/6	$\frac{6}{10 p} \cdot \frac{2}{6}$
227617	Solve by Graphing	-2x-y=1 -6x=3y+3	$- 2 x - y = 1$ $- 6 x = 3 y + 3$
227618	Combine Like Terms	3w-8k+12w+w-5k	$3 w - 8 k + 12 w + w - 5 k$
227619	Solve for x	0=3x^2	$0 = 3 x^{2}$
227620	Find the Roots (Zeros)	y^3-27=9y^2-27y	$y^{3} - 27 = 9 y^{2} - 27 y$
227621	Simplify	12(4/6p)	$12 (\frac{4}{6} p)$
227622	Simplify	cube root of (625x^6y^4)/(5xy)	$\sqrt[3]{\frac{625 x^{6} y^{4}}{5 x y}}$
227623	Divide	(4 square root of 3)÷3 square root of 3	$4 \sqrt{3} \div 3 \sqrt{3}$
227624	Graph	1/2x+6>2y 1/3y<2/3x	$\frac{1}{2} x + 6 > 2 y$ $\frac{1}{3} y < \frac{2}{3} x$
227625	Solve for v	-8/(2v+6)+2=-4/(v+3)	$- \frac{8}{2 v + 6} + 2 = - \frac{4}{v + 3}$
227626	Solve the Inequality for x	8x>x+2	$8 x > x + 2$
227627	Solve the Rational Equation for x	(2x+6)/(x-5)=(x+3)/(x-1)	$\frac{2 x + 6}{x - 5} = \frac{x + 3}{x - 1}$
227628	Solve for x	1/2(x-6)+1=2(x-10)-3	$\frac{1}{2} (x - 6) + 1 = 2 (x - 10) - 3$
227629	Convert to Interval Notation	x<5 and x>-5	$x < 5$ and $x > - 5$
227630	Simplify	( square root of ab-a)/( square root of b- square root of a)	$\frac{\sqrt{a b} - a}{\sqrt{b} - \sqrt{a}}$
227631	Solve for x	x^2-4x-5<=0	$x^{2} - 4 x - 5 \leq 0$
227632	Simplify	(-3y^5)(-2y^2)(-4y)y^2	$(- 3 y^{5}) (- 2 y^{2}) (- 4 y) y^{2}$
227633	Simplify	((x^2y^2)/m)÷((((x^2m^2)/y)÷((y^2m^2)/x*(xm)/(y^2)))÷(((xy)/(m^2))÷((ym)/(x^2))))	$\frac{x^{2} y^{2}}{m} \div ((\frac{x^{2} m^{2}}{y} \div (\frac{y^{2} m^{2}}{x} \cdot \frac{x m}{y^{2}})) \div (\frac{x y}{m^{2}} \div \frac{y m}{x^{2}}))$
227634	Solve for r	r = square root of A/pi	$r = \sqrt{\frac{A}{π}}$
227635	Find the Exact Value	log base 4 of 64+ log base 2 of 32- log base 3 of 27	$\log_{4} (64) + \log_{2} (32) - \log_{3} (27)$
227636	Write in Standard Form	2x^2+3/4x=15/2	$2 x^{2} + \frac{3}{4} x = \frac{15}{2}$
227637	Simplify	Simplify the expression (2x-6)/(x-3)	Simplify the expression $\frac{2 x - 6}{x - 3}$
227638	Solve for x	x*(2-4)=y	$x \cdot (2 - 4) = y$
227639	Simplify	1/(2x square root of y)	$\frac{1}{2 x \sqrt{y}}$
227640	Solve for x	(17+x)/x+(32+x)/x=100	$\frac{17 + x}{x} + \frac{32 + x}{x} = 100$
227641	Simplify	8/(4^-2)	$\frac{8}{4^{- 2}}$
227642	Find the Degree, Leading Term, and Leading Coefficient	f(x)=x^4-4x^2	$f (x) = x^{4} - 4 x^{2}$
227643	Evaluate	5^(3x)55^(x+1)=5^(2x+3)	$5^{3 x} \cdot 5 \cdot 5^{x + 1} = 5^{2 x + 3}$
227644	Simplify	(5-7i)÷(2-5i)	$(5 - 7 i) \div (2 - 5 i)$
227645	Solve the Inequality for x	(2x-5)/(4x+10)<=0	$\frac{2 x - 5}{4 x + 10} \leq 0$
227646	Multiply	(2y^3+5)(y^3+6y)	$(2 y^{3} + 5) (y^{3} + 6 y)$
227647	Multiply	(-6qr)(9q^2+4qr^2-7)	$(- 6 q r) (9 q^{2} + 4 q r^{2} - 7)$
227648	Solve the Inequality for x	3x^3-9x^2>30x	$3 x^{3} - 9 x^{2} > 30 x$
227649	Factor	a^3(x-2y)-ax^2(x-2y)	$a^{3} (x - 2 y) - a x^{2} (x - 2 y)$
227650	Solve for a	4-3/5(3a+4)=7	$4 - \frac{3}{5} (3 a + 4) = 7$
227651	Simplify the Radical Expression	(64x^-21y^9)^(1/3)	${(64 x^{- 21} y^{9})}^{\frac{1}{3}}$
227652	Factor by Grouping	48x^3-243xy^2	$48 x^{3} - 243 x y^{2}$
227653	Find the LCD	3/6+3/8	$\frac{3}{6} + \frac{3}{8}$
227654	Solve for x	(6^x)/36=216	$\frac{6^{x}}{36} = 216$
227655	Simplify	((x^2y)(x^4y^3))/(xy^2)	$\frac{(x^{2} y) (x^{4} y^{3})}{x y^{2}}$
227656	Simplify the Radical Expression	( square root of 16)/( cube root of 2)	$\frac{\sqrt{16}}{\sqrt[3]{2}}$
227657	Simplify	((-5m)^4)/((-25m^2)^2)	$\frac{{(- 5 m)}^{4}}{{(- 25 m^{2})}^{2}}$
227658	Simplify	1/3v+4 5/6v+3	$\frac{1}{3} v + 4 \frac{5}{6} v + 3$
227659	Simplify	((n^2-9n-10)/(n+1))÷((n+3)/(n+10))	$\frac{n^{2} - 9 n - 10}{n + 1} \div \frac{n + 3}{n + 10}$
227660	Solve the System of Equations	4x+y=-10 and 9x+y=-15	$4 x + y = - 10$ and $9 x + y = - 15$
227661	Simplify	(e^(-x/2))^2	${(e^{- \frac{x}{2}})}^{2}$
227662	Solve for b	5+5b-3=2+5b	$5 + 5 b - 3 = 2 + 5 b$
227663	Solve for v	500v=10015	$500 \cdot v = 100 \cdot 15$
227664	Multiply	(-2x^2+x-2)(x^2-5x+4)	$(- 2 x^{2} + x - 2) (x^{2} - 5 x + 4)$
227665	Solve the Rational Equation for x	square root of 3x-17+2=7	$\sqrt{3 x - 17} + 2 = 7$
227666	Determine if Dependent, Independent, or Inconsistent	2x=y+3 y=-2x+1	$2 x = y + 3$ $y = - 2 x + 1$
227667	Solve the Inequality for x	-16>6-2x	$- 16 > 6 - 2 x$
227668	Simplify	square root of (11y^2)^4	$\sqrt{{(11 y^{2})}^{4}}$
227669	Simplify	(3+5i)+(-8+4i)+(-8+4i)	$(3 + 5 i) + (- 8 + 4 i) + (- 8 + 4 i)$
227670	Evaluate	((-54x^9)/(y^4))^(2/3)	${(\frac{- 54 x^{9}}{y^{4}})}^{\frac{2}{3}}$
227671	Simplify	64^(1/2)*10^-2	$64^{\frac{1}{2}} \cdot 10^{- 2}$
227672	Graph	(3x)^(-)*3	${(3 x)}^{-} \cdot 3$
227673	Find the x and y Intercepts	f(x)=-2(x+4/5)^2-8	$f (x) = - 2 {(x + \frac{4}{5})}^{2} - 8$
227674	Evaluate	(x/11)^-2	${(\frac{x}{11})}^{- 2}$
227675	Solve for x	2(5)^x>10	$2 {(5)}^{x} > 10$
227676	Simplify	fifth root of (32x^6)/(y^11)	$\sqrt[5]{\frac{32 x^{6}}{y^{11}}}$
227677	Multiply	(x-6)/(5x)*(x^2-49)/(x^2+x-42)	$\frac{x - 6}{5 x} \cdot \frac{x^{2} - 49}{x^{2} + x - 42}$
227678	Divide Using Long Polynomial Division	(2x^4-3x^3-20x^2+72x-63)÷(2x-3)	$(2 x^{4} - 3 x^{3} - 20 x^{2} + 72 x - 63) \div (2 x - 3)$
227679	Simplify	(x^2+10x+16)/(x^2-x)*(x^2+5x-6)/(x^2+7x+10)	$\frac{x^{2} + 10 x + 16}{x^{2} - x} \cdot \frac{x^{2} + 5 x - 6}{x^{2} + 7 x + 10}$
227680	Simplify	4 square root of -49/64	$4 \sqrt{- \frac{49}{64}}$
227681	Simplify	2^(3^2)	$2^{3^{2}}$
227682	Solve the Inequality for x	x/(a^2-b^2)+(3x)/(a-b)<5/(a+b)	$\frac{x}{a^{2} - b^{2}} + \frac{3 x}{a - b} < \frac{5}{a + b}$
227683	Simplify	6x-4x^2-x-7+5x^2	$6 x - 4 x^{2} - x - 7 + 5 x^{2}$
227684	Find the Domain and Range	y=cos(pi/4)	$y = \cos (\frac{π}{4})$
227685	Factor by Grouping	2x^3+10x^2+12x	$2 x^{3} + 10 x^{2} + 12 x$
227686	Solve for x	3b(2x-a^2)=2h-7gx	$3 b (2 x - a^{2}) = 2 h - 7 g x$
227687	Simplify	(8 square root of 24)/(16 square root of 6)	$\frac{8 \sqrt{24}}{16 \sqrt{6}}$
227688	Solve for x	log of x+1+ log of x-3 = log of 6x^2-6	$\log (x + 1) + \log (x - 3) = \log (6 x^{2} - 6)$
227689	Evaluate	-2(5-4(3^2-2^2))	$- 2 (5 - 4 (3^{2} - 2^{2}))$
227690	Evaluate	(83)÷(15-(24)+1)	$(8 \cdot 3) \div (15 - (2 \cdot 4) + 1)$
227691	Solve the Inequality for x	square root of x-2-1<=0	$\sqrt{x - 2} - 1 \leq 0$
227692	Simplify	(x+2)/((x^2+2x-3)/((x+2)/(x^2-x)))	$\frac{x + 2}{\frac{x^{2} + 2 x - 3}{\frac{x + 2}{x^{2} - x}}}$
227693	Simplify	((m-6)/(m-2))÷((m-5)/(m^2+m-6))	$\frac{m - 6}{m - 2} \div \frac{m - 5}{m^{2} + m - 6}$
227694	Solve for v	(v+5)(-1/9)=6	$(v + 5) (- \frac{1}{9}) = 6$
227695	Solve for x	4/n-5/(x+n)=0	$\frac{4}{n} - \frac{5}{x + n} = 0$
227696	Solve for x	12/5x-2x=3/10	$\frac{12}{5} x - 2 x = \frac{3}{10}$
227697	Solve the Inequality for x	-x^2+50>-3x+10	$- x^{2} + 50 > - 3 x + 10$
227698	Find the Roots (Zeros)	2c^4-6c^3=12c^2-36c	$2 c^{4} - 6 c^{3} = 12 c^{2} - 36 c$
227699	Simplify	(3 square root of 7a^2b)(5a square root of 7b)	$(3 \sqrt{7 a^{2} b}) (5 a \sqrt{7 b})$
227700	Evaluate	square root of 11*2-6+5(4^2-9)	$\sqrt{11 \cdot 2 - 6} + 5 (4^{2} - 9)$