Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
227601	Solve by Graphing	-2x-y=1 -6x=3y+3	$- 2 x - y = 1$ $- 6 x = 3 y + 3$
227602	Combine Like Terms	3w-8k+12w+w-5k	$3 w - 8 k + 12 w + w - 5 k$
227603	Solve for x	0=3x^2	$0 = 3 x^{2}$
227604	Find the Roots (Zeros)	y^3-27=9y^2-27y	$y^{3} - 27 = 9 y^{2} - 27 y$
227605	Simplify	12(4/6p)	$12 (\frac{4}{6} p)$
227606	Simplify	cube root of (625x^6y^4)/(5xy)	$\sqrt[3]{\frac{625 x^{6} y^{4}}{5 x y}}$
227607	Divide	(4 square root of 3)÷3 square root of 3	$4 \sqrt{3} \div 3 \sqrt{3}$
227608	Graph	1/2x+6>2y 1/3y<2/3x	$\frac{1}{2} x + 6 > 2 y$ $\frac{1}{3} y < \frac{2}{3} x$
227609	Solve for v	-8/(2v+6)+2=-4/(v+3)	$- \frac{8}{2 v + 6} + 2 = - \frac{4}{v + 3}$
227610	Solve the Inequality for x	8x>x+2	$8 x > x + 2$
227611	Solve the Rational Equation for x	(2x+6)/(x-5)=(x+3)/(x-1)	$\frac{2 x + 6}{x - 5} = \frac{x + 3}{x - 1}$
227612	Solve for x	1/2(x-6)+1=2(x-10)-3	$\frac{1}{2} (x - 6) + 1 = 2 (x - 10) - 3$
227613	Convert to Interval Notation	x<5 and x>-5	$x < 5$ and $x > - 5$
227614	Simplify	( square root of ab-a)/( square root of b- square root of a)	$\frac{\sqrt{a b} - a}{\sqrt{b} - \sqrt{a}}$
227615	Solve for x	x^2-4x-5<=0	$x^{2} - 4 x - 5 \leq 0$
227616	Simplify	(-3y^5)(-2y^2)(-4y)y^2	$(- 3 y^{5}) (- 2 y^{2}) (- 4 y) y^{2}$
227617	Simplify	((x^2y^2)/m)÷((((x^2m^2)/y)÷((y^2m^2)/x*(xm)/(y^2)))÷(((xy)/(m^2))÷((ym)/(x^2))))	$\frac{x^{2} y^{2}}{m} \div ((\frac{x^{2} m^{2}}{y} \div (\frac{y^{2} m^{2}}{x} \cdot \frac{x m}{y^{2}})) \div (\frac{x y}{m^{2}} \div \frac{y m}{x^{2}}))$
227618	Solve for r	r = square root of A/pi	$r = \sqrt{\frac{A}{π}}$
227619	Find the Exact Value	log base 4 of 64+ log base 2 of 32- log base 3 of 27	$\log_{4} (64) + \log_{2} (32) - \log_{3} (27)$
227620	Write in Standard Form	2x^2+3/4x=15/2	$2 x^{2} + \frac{3}{4} x = \frac{15}{2}$
227621	Simplify	Simplify the expression (2x-6)/(x-3)	Simplify the expression $\frac{2 x - 6}{x - 3}$
227622	Solve for x	x*(2-4)=y	$x \cdot (2 - 4) = y$
227623	Simplify	1/(2x square root of y)	$\frac{1}{2 x \sqrt{y}}$
227624	Solve for x	(17+x)/x+(32+x)/x=100	$\frac{17 + x}{x} + \frac{32 + x}{x} = 100$
227625	Simplify	8/(4^-2)	$\frac{8}{4^{- 2}}$
227626	Find the Degree, Leading Term, and Leading Coefficient	f(x)=x^4-4x^2	$f (x) = x^{4} - 4 x^{2}$
227627	Evaluate	5^(3x)55^(x+1)=5^(2x+3)	$5^{3 x} \cdot 5 \cdot 5^{x + 1} = 5^{2 x + 3}$
227628	Simplify	(5-7i)÷(2-5i)	$(5 - 7 i) \div (2 - 5 i)$
227629	Solve the Inequality for x	(2x-5)/(4x+10)<=0	$\frac{2 x - 5}{4 x + 10} \leq 0$
227630	Multiply	(2y^3+5)(y^3+6y)	$(2 y^{3} + 5) (y^{3} + 6 y)$
227631	Multiply	(-6qr)(9q^2+4qr^2-7)	$(- 6 q r) (9 q^{2} + 4 q r^{2} - 7)$
227632	Solve the Inequality for x	3x^3-9x^2>30x	$3 x^{3} - 9 x^{2} > 30 x$
227633	Factor	a^3(x-2y)-ax^2(x-2y)	$a^{3} (x - 2 y) - a x^{2} (x - 2 y)$
227634	Solve for a	4-3/5(3a+4)=7	$4 - \frac{3}{5} (3 a + 4) = 7$
227635	Simplify the Radical Expression	(64x^-21y^9)^(1/3)	${(64 x^{- 21} y^{9})}^{\frac{1}{3}}$
227636	Factor by Grouping	48x^3-243xy^2	$48 x^{3} - 243 x y^{2}$
227637	Find the LCD	3/6+3/8	$\frac{3}{6} + \frac{3}{8}$
227638	Solve for x	(6^x)/36=216	$\frac{6^{x}}{36} = 216$
227639	Simplify	((x^2y)(x^4y^3))/(xy^2)	$\frac{(x^{2} y) (x^{4} y^{3})}{x y^{2}}$
227640	Simplify the Radical Expression	( square root of 16)/( cube root of 2)	$\frac{\sqrt{16}}{\sqrt[3]{2}}$
227641	Simplify	((-5m)^4)/((-25m^2)^2)	$\frac{{(- 5 m)}^{4}}{{(- 25 m^{2})}^{2}}$
227642	Simplify	1/3v+4 5/6v+3	$\frac{1}{3} v + 4 \frac{5}{6} v + 3$
227643	Simplify	((n^2-9n-10)/(n+1))÷((n+3)/(n+10))	$\frac{n^{2} - 9 n - 10}{n + 1} \div \frac{n + 3}{n + 10}$
227644	Solve the System of Equations	4x+y=-10 and 9x+y=-15	$4 x + y = - 10$ and $9 x + y = - 15$
227645	Simplify	(e^(-x/2))^2	${(e^{- \frac{x}{2}})}^{2}$
227646	Solve for b	5+5b-3=2+5b	$5 + 5 b - 3 = 2 + 5 b$
227647	Solve for v	500v=10015	$500 \cdot v = 100 \cdot 15$
227648	Multiply	(-2x^2+x-2)(x^2-5x+4)	$(- 2 x^{2} + x - 2) (x^{2} - 5 x + 4)$
227649	Solve the Rational Equation for x	square root of 3x-17+2=7	$\sqrt{3 x - 17} + 2 = 7$
227650	Determine if Dependent, Independent, or Inconsistent	2x=y+3 y=-2x+1	$2 x = y + 3$ $y = - 2 x + 1$
227651	Solve the Inequality for x	-16>6-2x	$- 16 > 6 - 2 x$
227652	Simplify	square root of (11y^2)^4	$\sqrt{{(11 y^{2})}^{4}}$
227653	Simplify	(3+5i)+(-8+4i)+(-8+4i)	$(3 + 5 i) + (- 8 + 4 i) + (- 8 + 4 i)$
227654	Evaluate	((-54x^9)/(y^4))^(2/3)	${(\frac{- 54 x^{9}}{y^{4}})}^{\frac{2}{3}}$
227655	Simplify	64^(1/2)*10^-2	$64^{\frac{1}{2}} \cdot 10^{- 2}$
227656	Graph	(3x)^(-)*3	${(3 x)}^{-} \cdot 3$
227657	Find the x and y Intercepts	f(x)=-2(x+4/5)^2-8	$f (x) = - 2 {(x + \frac{4}{5})}^{2} - 8$
227658	Evaluate	(x/11)^-2	${(\frac{x}{11})}^{- 2}$
227659	Solve for x	2(5)^x>10	$2 {(5)}^{x} > 10$
227660	Simplify	fifth root of (32x^6)/(y^11)	$\sqrt[5]{\frac{32 x^{6}}{y^{11}}}$
227661	Multiply	(x-6)/(5x)*(x^2-49)/(x^2+x-42)	$\frac{x - 6}{5 x} \cdot \frac{x^{2} - 49}{x^{2} + x - 42}$
227662	Divide Using Long Polynomial Division	(2x^4-3x^3-20x^2+72x-63)÷(2x-3)	$(2 x^{4} - 3 x^{3} - 20 x^{2} + 72 x - 63) \div (2 x - 3)$
227663	Simplify	(x^2+10x+16)/(x^2-x)*(x^2+5x-6)/(x^2+7x+10)	$\frac{x^{2} + 10 x + 16}{x^{2} - x} \cdot \frac{x^{2} + 5 x - 6}{x^{2} + 7 x + 10}$
227664	Simplify	4 square root of -49/64	$4 \sqrt{- \frac{49}{64}}$
227665	Simplify	2^(3^2)	$2^{3^{2}}$
227666	Solve the Inequality for x	x/(a^2-b^2)+(3x)/(a-b)<5/(a+b)	$\frac{x}{a^{2} - b^{2}} + \frac{3 x}{a - b} < \frac{5}{a + b}$
227667	Simplify	6x-4x^2-x-7+5x^2	$6 x - 4 x^{2} - x - 7 + 5 x^{2}$
227668	Find the Domain and Range	y=cos(pi/4)	$y = \cos (\frac{π}{4})$
227669	Factor by Grouping	2x^3+10x^2+12x	$2 x^{3} + 10 x^{2} + 12 x$
227670	Solve for x	3b(2x-a^2)=2h-7gx	$3 b (2 x - a^{2}) = 2 h - 7 g x$
227671	Simplify	(8 square root of 24)/(16 square root of 6)	$\frac{8 \sqrt{24}}{16 \sqrt{6}}$
227672	Solve for x	log of x+1+ log of x-3 = log of 6x^2-6	$\log (x + 1) + \log (x - 3) = \log (6 x^{2} - 6)$
227673	Evaluate	-2(5-4(3^2-2^2))	$- 2 (5 - 4 (3^{2} - 2^{2}))$
227674	Evaluate	(83)÷(15-(24)+1)	$(8 \cdot 3) \div (15 - (2 \cdot 4) + 1)$
227675	Solve the Inequality for x	square root of x-2-1<=0	$\sqrt{x - 2} - 1 \leq 0$
227676	Simplify	(x+2)/((x^2+2x-3)/((x+2)/(x^2-x)))	$\frac{x + 2}{\frac{x^{2} + 2 x - 3}{\frac{x + 2}{x^{2} - x}}}$
227677	Simplify	((m-6)/(m-2))÷((m-5)/(m^2+m-6))	$\frac{m - 6}{m - 2} \div \frac{m - 5}{m^{2} + m - 6}$
227678	Solve for v	(v+5)(-1/9)=6	$(v + 5) (- \frac{1}{9}) = 6$
227679	Solve for x	4/n-5/(x+n)=0	$\frac{4}{n} - \frac{5}{x + n} = 0$
227680	Solve for x	12/5x-2x=3/10	$\frac{12}{5} x - 2 x = \frac{3}{10}$
227681	Solve the Inequality for x	-x^2+50>-3x+10	$- x^{2} + 50 > - 3 x + 10$
227682	Find the Roots (Zeros)	2c^4-6c^3=12c^2-36c	$2 c^{4} - 6 c^{3} = 12 c^{2} - 36 c$
227683	Simplify	(3 square root of 7a^2b)(5a square root of 7b)	$(3 \sqrt{7 a^{2} b}) (5 a \sqrt{7 b})$
227684	Evaluate	square root of 11*2-6+5(4^2-9)	$\sqrt{11 \cdot 2 - 6} + 5 (4^{2} - 9)$
227685	Solve the Inequality for d	5d+2(d-3)>36	$5 d + 2 (d - 3) > 36$
227686	Find the Domain and Range	(2x^2)/(x^2-1)	$\frac{2 x^{2}}{x^{2} - 1}$
227687	Evaluate	12t-2<-5t+36	$12 t - 2 < - 5 t + 36$
227688	Evaluate	1/( cube root of 9.9*10^14)	$\frac{1}{\sqrt[3]{9.9 \cdot 10^{14}}}$
227689	Evaluate	-2(3)^-1	$- 2 {(3)}^{- 1}$
227690	Simplify	((3x^(1/2))/15)^2	${(\frac{3 x^{\frac{1}{2}}}{15})}^{2}$
227691	Simplify	1/(7x^3)*(x^2)/2	$\frac{1}{7 x^{3}} \cdot \frac{x^{2}}{2}$
227692	Solve the Inequality for x	x+1<-2x+11<3x+5	$x + 1 < - 2 x + 11 < 3 x + 5$
227693	Solve for x	square root of 7+ square root of 2x=3	$\sqrt{7 + \sqrt{2 x}} = 3$
227694	Find the Magnitude	(-3,4)	$(- 3, 4)$
227695	Find the Vertices	4x^2+y^2-36=0	$4 x^{2} + y^{2} - 36 = 0$
227696	Solve the System of Equations	2x-y=4 (x+3)^2+y^2=8	$2 x - y = 4$ ${(x + 3)}^{2} + y^{2} = 8$
227697	Simplify	1/3x+1/4+2/3x	$\frac{1}{3} x + \frac{1}{4} + \frac{2}{3} x$
227698	Graph	6x-x^3-x^5	$6 x - x^{3} - x^{5}$
227699	Simplify	4xy-2x+4x-8xy	$4 x y - 2 x + 4 x - 8 x y$
227700	Simplify the Radical Expression	4/( cube root of 4)	$\frac{4}{\sqrt[3]{4}}$