Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
224401	Solve the Inequality for x	(x^3(x-2))/((x+3)^2)<0	$\frac{x^{3} (x - 2)}{{(x + 3)}^{2}} < 0$
224402	Simplify	3 square root of 24x-2 square root of 54x+ square root of 48	$3 \sqrt{24 x} - 2 \sqrt{54 x} + \sqrt{48}$
224403	Graph	y-\|x-2\|	$y - \| x - 2 \|$
224404	Solve for x	7x+5+x-3+x=5	$7 x + 5 + x - 3 + x = 5$
224405	Simplify	(12x^8y^-7)/((4x^-2y^-6)^2)	$\frac{12 x^{8} y^{- 7}}{{(4 x^{- 2} y^{- 6})}^{2}}$
224406	Convert to a Decimal	630deg	$630$ degrees
224407	Solve for d	d^3=512	$d^{3} = 512$
224408	Find the Exact Value	-sin(45 degrees )	$- \sin (45 °)$
224409	Write as a Single Logarithm	log of 9xy^2- log of 27xy	$\log (9 x y^{2}) - \log (27 x y)$
224410	Solve for y	9+y^3=71	$9 + y^{3} = 71$
224411	Evaluate	1/x-1/y	$\frac{1}{x} - \frac{1}{y}$
224412	Graph	x+y=-5 y=5x+1	$x + y = - 5$ $y = 5 x + 1$
224413	Graph Using a Table of Values	2(3)^x	$2 {(3)}^{x}$
224414	Simplify the Radical Expression	fourth root of (3x)^3	$\sqrt[4]{{(3 x)}^{3}}$
224415	Simplify	7(6x^2+9xy+10y^2)	$7 (6 x^{2} + 9 x y + 10 y^{2})$
224416	Simplify	(6x^2-216)/(x^2-2x-48)(64-x^2)/(x^2+13x+40)(-x-5)/(x^2-36)	$\frac{6 x^{2} - 216}{x^{2} - 2 x - 48} \cdot \frac{64 - x^{2}}{x^{2} + 13 x + 40} \cdot \frac{- x - 5}{x^{2} - 36}$
224417	Subtract	square root of 27x^5y-6 square root of 3x^5y	$\sqrt{27 x^{5} y} - 6 \sqrt{3 x^{5} y}$
224418	Solve by Substitution	2x+y=6 AND 3y-18=-6x	$2 x + y = 6$ AND $3 y - 18 = - 6 x$
224419	Solve for x	(1/8)^(x-5)=4^x	${(\frac{1}{8})}^{x - 5} = 4^{x}$
224420	Graph	1/2x-3<-1 3/8	$\frac{1}{2} x - 3 < - 1 \frac{3}{8}$
224421	Solve for m	1/3(15m-12)=-5(m-2)	$\frac{1}{3} (15 m - 12) = - 5 (m - 2)$
224422	Solve the Rational Equation for x	5^(3-2x)=5^(-x)	$5^{3 - 2 x} = 5^{- x}$
224423	Solve the Inequality for x	3x^2+45x+159<-3	$3 x^{2} + 45 x + 159 < - 3$
224424	Write in Standard Form	square root of 9	$\sqrt{9}$
224425	Convert to Interval Notation	-4x-8<-x+7<-4x-5	$- 4 x - 8 < - x + 7 < - 4 x - 5$
224426	Simplify	c^3d^2(c^2d-2d)	$c^{3} d^{2} (c^{2} d - 2 d)$
224427	Evaluate	( cube root of x^3)/( fifth root of x^2)	$\frac{\sqrt[3]{x^{3}}}{\sqrt[5]{x^{2}}}$
224428	Simplify	( square root of 12x)/(2x^2)	$\frac{\sqrt{12 x}}{2 x^{2}}$
224429	Find the Degree	2x^5y^2z+x^4z	$2 x^{5} y^{2} z + x^{4} z$
224430	Solve for a	4(a+3)-2(a+6)=20	$4 (a + 3) - 2 (a + 6) = 20$
224431	Simplify	(10+4i)/2	$\frac{10 + 4 i}{2}$
224432	Find the First Term	A_n=n(n-1)(n-2)	$A_{n} = n (n - 1) (n - 2)$
224433	Multiply	fourth root of 8a^3b* fourth root of 10a^2b^7	$\sqrt[4]{8 a^{3} b} \cdot \sqrt[4]{10 a^{2} b^{7}}$
224434	Write in Standard Form	-k^5-1+8k-3k^3+1/4k^2	$- k^{5} - 1 + 8 k - 3 k^{3} + \frac{1}{4} k^{2}$
224435	Find the x and y Intercepts	y=1/4x^2+x-6	$y = \frac{1}{4} x^{2} + x - 6$
224436	Solve for y	-5/y<0	$- \frac{5}{y} < 0$
224437	Simplify	(4-x^2)/(-x-3)(x+4)/(x-2)(-x-3)/(x^2+6x+8)	$\frac{4 - x^{2}}{- x - 3} \cdot \frac{x + 4}{x - 2} \cdot \frac{- x - 3}{x^{2} + 6 x + 8}$
224438	Factor	x^4-13x^2=-36	$x^{4} - 13 x^{2} = - 36$
224439	Solve for x	x/2+1/2=3	$\frac{x}{2} + \frac{1}{2} = 3$
224440	Solve for x	(m^(5/6))(m^(1/6))^7=m^x	$(m^{\frac{5}{6}}) {(m^{\frac{1}{6}})}^{7} = m^{x}$
224441	Solve for y	(6x-1)/y-3=2	$\frac{6 x - 1}{y} - 3 = 2$
224442	Simplify	((4+5)^2)÷3	${(4 + 5)}^{2} \div 3$
224443	Simplify	3x(x+4)((x+1)/(3(x+4)))	$3 x (x + 4) (\frac{x + 1}{3 (x + 4)})$
224444	Solve the Inequality for x	\|x/6\|>=5	$\| \frac{x}{6} \| \geq 5$
224445	Simplify	square root of x^3+x^2- square root of 4+4x	$\sqrt{x^{3} + x^{2}} - \sqrt{4 + 4 x}$
224446	Evaluate	4(x^2-2x)-2(x^2-3)	$4 (x^{2} - 2 x) - 2 (x^{2} - 3)$
224447	Solve by Factoring	25c+10c^2=0	$25 c + 10 c^{2} = 0$
224448	Simplify	e^(- natural log of 2)	$e^{- \ln (2)}$
224449	Simplify	(8(9+x)^(1/3)-x(9+x)^(-2/3))/((9+x)^(2/3))	$\frac{8 {(9 + x)}^{\frac{1}{3}} - x {(9 + x)}^{- \frac{2}{3}}}{{(9 + x)}^{\frac{2}{3}}}$
224450	Find the Exact Value	2(1/2+0.5-4/4)	$2 (\frac{1}{2} + 0.5 - \frac{4}{4})$
224451	Simplify	10i-(3- square root of -25)	$10 i - (3 - \sqrt{- 25})$
224452	Simplify	(b^2)^a=b^8	${(b^{2})}^{a} = b^{8}$
224453	Subtract	(p+7)-(6p^2+13p)	$(p + 7) - (6 p^{2} + 13 p)$
224454	Write as a Single Logarithm	1/3 log base b of x- log base b of y	$\frac{1}{3} \log_{b} (x) - \log_{b} (y)$
224455	Solve for x	2/(x+6)+(2x)/(x+4)=(3x)/(x+6)	$\frac{2}{x + 6} + \frac{2 x}{x + 4} = \frac{3 x}{x + 6}$
224456	Find the LCM	6 and 21	$6$ and $21$
224457	Find the LCD	(x(x-2))/((x-2)(x+3)) and x/(x+3)	$\frac{x (x - 2)}{(x - 2) (x + 3)}$ and $\frac{x}{x + 3}$
224458	Simplify	(2a^2b-3ab^2+5a^2b^2)-(2a^2b^2+4a^2b-5b^2)	$(2 a^{2} b - 3 a b^{2} + 5 a^{2} b^{2}) - (2 a^{2} b^{2} + 4 a^{2} b - 5 b^{2})$
224459	Graph	x+y=-2 y=5x+4	$x + y = - 2$ $y = 5 x + 4$
224460	Simplify	((x+3x)/(y+2y))^2	${(\frac{x + 3 x}{y + 2 y})}^{2}$
224461	Rationalize the Denominator	( square root of xy)/( square root of 3x)	$\frac{\sqrt{x y}}{\sqrt{3 x}}$
224462	Find the x and y Intercepts	P(x)=5(x+1)^2(x-2)^3	$P (x) = 5 {(x + 1)}^{2} {(x - 2)}^{3}$
224463	Solve for x	x^3+2x^2-x=2	$x^{3} + 2 x^{2} - x = 2$
224464	Simplify	5(13-8)-3*7+3	$5 (13 - 8) - 3 \cdot 7 + 3$
224465	Multiply	0 , 1^2	$0$ , $1^{2}$
224466	Subtract	(g^3-2g^2+5g+6)-(g^2+2g)	$(g^{3} - 2 g^{2} + 5 g + 6) - (g^{2} + 2 g)$
224467	Graph	negative infinity	$- \infty$
224468	Solve for x	2(3x+4)=5x+3x-4	$2 (3 x + 4) = 5 x + 3 x - 4$
224469	Solve for x	2x-7+19=6x-4x+12	$2 x - 7 + 19 = 6 x - 4 x + 12$
224470	Factor	Factor x^2-2x-15	Factor $x^{2} - 2 x - 15$
224471	Simplify	2 square root of 3-x*4 cube root of 3-x	$2 \sqrt{3 - x} \cdot 4 \sqrt[3]{3 - x}$
224472	Multiply	fourth root of 27* fourth root of 3	$\sqrt[4]{27} \cdot \sqrt[4]{3}$
224473	Find the Degree	m+m^2	$m + m^{2}$
224474	Combine Like Terms	(3x^2+4x-1)+(-2x^2-3x+2)	$(3 x^{2} + 4 x - 1) + (- 2 x^{2} - 3 x + 2)$
224475	Write in Standard Form	f(x)=-5x-10+3x^4+4x^2	$f (x) = - 5 x - 10 + 3 x^{4} + 4 x^{2}$
224476	Solve the System of Equations	2x-1=y 3x-1=y	$2 x - 1 = y$ $3 x - 1 = y$
224477	Simplify	(1/4x^3y^-2)^-2(-4x^-1y)^-3	${(\frac{1}{4} x^{3} y^{- 2})}^{- 2} {(- 4 x^{- 1} y)}^{- 3}$
224478	Convert to a Simplified Fraction	75% as a fraction	$75 %$ as a fraction
224479	Simplify	cos(x)^2+cot(x)^2+sin(x)^2	$\cos^{2} (x) + \cot^{2} (x) + \sin^{2} (x)$
224480	Expand the Logarithmic Expression	log of ( cube root of x)/( cube root of yz)	$\log (\frac{\sqrt[3]{x}}{\sqrt[3]{y z}})$
224481	Simplify	(h+9)(5h-4h^2-10)	$(h + 9) (5 h - 4 h^{2} - 10)$
224482	Solve the Inequality for x	1/2(3/5x-1/2)>x+3/8	$\frac{1}{2} (\frac{3}{5} x - \frac{1}{2}) > x + \frac{3}{8}$
224483	Simplify	(x^-4)^5(x^3y^2)^5	${(x^{- 4})}^{5} {(x^{3} y^{2})}^{5}$
224484	Solve for w	(w-10)+40=0	$(w - 10) + 40 = 0$
224485	Evaluate	((2x)^-2)/((3x)^-2)	$\frac{{(2 x)}^{- 2}}{{(3 x)}^{- 2}}$
224486	Multiply	2^92^22^4	$2^{9} \cdot 2^{2} \cdot 2^{4}$
224487	Find the Roots (Zeros)	3x^6+2x^4-x^3+7	$3 x^{6} + 2 x^{4} - x^{3} + 7$
224488	Simplify	6*5-(4^2)÷2	$6 \cdot 5 - 4^{2} \div 2$
224489	Solve the Inequality for s	2s+3>15	$2 s + 3 > 15$
224490	Find the Product	(z-5/3)(z-2/3)	$(z - \frac{5}{3}) (z - \frac{2}{3})$
224491	Graph	y>2x-4 4y-x<=16	$y > 2 x - 4$ $4 y - x \leq 16$
224492	Evaluate	((16x^-4)^2)/((4x^-2)^3)	$\frac{{(16 x^{- 4})}^{2}}{{(4 x^{- 2})}^{3}}$
224493	Simplify	(28 cube root of -16m^6)/(4 cube root of 2m)	$\frac{28 \sqrt[3]{- 16 m^{6}}}{4 \sqrt[3]{2 m}}$
224494	Find All Complex Solutions	\|3-x\|-\|x+2\|=5	$\| 3 - x \| - \| x + 2 \| = 5$
224495	Solve the System of Equations	2x+2y=12 x+y=6	$2 x + 2 y = 12$ $x + y = 6$
224496	Divide	(-6-4)÷(-5)	$(- 6 - 4) \div (- 5)$
224497	Divide Using Long Polynomial Division	Use the long division method to find the result when 8x^3+24x^2+24x+7 is divided by 2x+1	Use the long division method to find the result when $8 x^{3} + 24 x^{2} + 24 x + 7$ is divided by $2 x + 1$
224498	Evaluate	-cos(pi/4)-sin(pi/4)	$- \cos (\frac{π}{4}) - \sin (\frac{π}{4})$
224499	Describe the Transformation	y=-3 cube root of x-1	$y = - 3 \sqrt[3]{x} - 1$
224500	Solve for x	(2^x-3)(2^x-4)=0	$(2^{x} - 3) (2^{x} - 4) = 0$