Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
224401	Simplify	7a(a+2)(5/(a+2))	$7 a (a + 2) (\frac{5}{a + 2})$
224402	Simplify	(36x^2y^3z)^(1/6)	${(36 x^{2} y^{3} z)}^{\frac{1}{6}}$
224403	Simplify	(x^6+10x^5-6x^2-5x)+(-9x^5+5x^3+9x^2+x+10)	$(x^{6} + 10 x^{5} - 6 x^{2} - 5 x) + (- 9 x^{5} + 5 x^{3} + 9 x^{2} + x + 10)$
224404	Evaluate	log of 2x+ log of 12=3	$\log (2 x) + \log (12) = 3$
224405	Simplify	cube root of (4a^3)/(81b^2)	$\sqrt[3]{\frac{4 a^{3}}{81 b^{2}}}$
224406	Evaluate Using the Given Value	find d/(dx)(x^3+sin(x)+4cos(x)) at x=pi	find $\frac{d}{d x} (x^{3} + \sin (x) + 4 \cos (x))$ at $x = π$
224407	Simplify	(8x^3)/(2x+12)*(x^2+7x+6)/(4x^5)	$\frac{8 x^{3}}{2 x + 12} \cdot \frac{x^{2} + 7 x + 6}{4 x^{5}}$
224408	Solve for z	7/(z-1)=9/(z+4)	$\frac{7}{z - 1} = \frac{9}{z + 4}$
224409	Simplify	2^2*2/(2^4)	$2^{2} \cdot \frac{2}{2^{4}}$
224410	Simplify	(1-i)/(-2+2i)	$\frac{1 - i}{- 2 + 2 i}$
224411	Simplify	(2x+4)/(x+1)+5/(x-2)	$\frac{2 x + 4}{x + 1} + \frac{5}{x - 2}$
224412	Solve for x	4/7=-8/x	$\frac{4}{7} = - \frac{8}{x}$
224413	Solve for x	-14(x+2)=0	$- 14 (x + 2) = 0$
224414	Evaluate Using the Given Value	-0.4(3x-2)+(2x+4)/3 for x=4	$- 0.4 (3 x - 2) + \frac{2 x + 4}{3}$ for $x = 4$
224415	Divide	( cube root of 5)/( cube root of 2)	$\frac{\sqrt[3]{5}}{\sqrt[3]{2}}$
224416	Solve the Inequality for x	(x^3(x-2))/((x+3)^2)<0	$\frac{x^{3} (x - 2)}{{(x + 3)}^{2}} < 0$
224417	Simplify	3 square root of 24x-2 square root of 54x+ square root of 48	$3 \sqrt{24 x} - 2 \sqrt{54 x} + \sqrt{48}$
224418	Graph	y-\|x-2\|	$y - \| x - 2 \|$
224419	Solve for x	7x+5+x-3+x=5	$7 x + 5 + x - 3 + x = 5$
224420	Simplify	(12x^8y^-7)/((4x^-2y^-6)^2)	$\frac{12 x^{8} y^{- 7}}{{(4 x^{- 2} y^{- 6})}^{2}}$
224421	Convert to a Decimal	630deg	$630$ degrees
224422	Solve for d	d^3=512	$d^{3} = 512$
224423	Find the Exact Value	-sin(45 degrees )	$- \sin (45 °)$
224424	Write as a Single Logarithm	log of 9xy^2- log of 27xy	$\log (9 x y^{2}) - \log (27 x y)$
224425	Solve for y	9+y^3=71	$9 + y^{3} = 71$
224426	Evaluate	1/x-1/y	$\frac{1}{x} - \frac{1}{y}$
224427	Graph	x+y=-5 y=5x+1	$x + y = - 5$ $y = 5 x + 1$
224428	Graph Using a Table of Values	2(3)^x	$2 {(3)}^{x}$
224429	Simplify the Radical Expression	fourth root of (3x)^3	$\sqrt[4]{{(3 x)}^{3}}$
224430	Simplify	7(6x^2+9xy+10y^2)	$7 (6 x^{2} + 9 x y + 10 y^{2})$
224431	Simplify	(6x^2-216)/(x^2-2x-48)(64-x^2)/(x^2+13x+40)(-x-5)/(x^2-36)	$\frac{6 x^{2} - 216}{x^{2} - 2 x - 48} \cdot \frac{64 - x^{2}}{x^{2} + 13 x + 40} \cdot \frac{- x - 5}{x^{2} - 36}$
224432	Subtract	square root of 27x^5y-6 square root of 3x^5y	$\sqrt{27 x^{5} y} - 6 \sqrt{3 x^{5} y}$
224433	Solve by Substitution	2x+y=6 AND 3y-18=-6x	$2 x + y = 6$ AND $3 y - 18 = - 6 x$
224434	Solve for x	(1/8)^(x-5)=4^x	${(\frac{1}{8})}^{x - 5} = 4^{x}$
224435	Graph	1/2x-3<-1 3/8	$\frac{1}{2} x - 3 < - 1 \frac{3}{8}$
224436	Solve for m	1/3(15m-12)=-5(m-2)	$\frac{1}{3} (15 m - 12) = - 5 (m - 2)$
224437	Solve the Rational Equation for x	5^(3-2x)=5^(-x)	$5^{3 - 2 x} = 5^{- x}$
224438	Solve the Inequality for x	3x^2+45x+159<-3	$3 x^{2} + 45 x + 159 < - 3$
224439	Write in Standard Form	square root of 9	$\sqrt{9}$
224440	Convert to Interval Notation	-4x-8<-x+7<-4x-5	$- 4 x - 8 < - x + 7 < - 4 x - 5$
224441	Simplify	c^3d^2(c^2d-2d)	$c^{3} d^{2} (c^{2} d - 2 d)$
224442	Evaluate	( cube root of x^3)/( fifth root of x^2)	$\frac{\sqrt[3]{x^{3}}}{\sqrt[5]{x^{2}}}$
224443	Simplify	( square root of 12x)/(2x^2)	$\frac{\sqrt{12 x}}{2 x^{2}}$
224444	Find the Degree	2x^5y^2z+x^4z	$2 x^{5} y^{2} z + x^{4} z$
224445	Solve for a	4(a+3)-2(a+6)=20	$4 (a + 3) - 2 (a + 6) = 20$
224446	Simplify	(10+4i)/2	$\frac{10 + 4 i}{2}$
224447	Find the First Term	A_n=n(n-1)(n-2)	$A_{n} = n (n - 1) (n - 2)$
224448	Multiply	fourth root of 8a^3b* fourth root of 10a^2b^7	$\sqrt[4]{8 a^{3} b} \cdot \sqrt[4]{10 a^{2} b^{7}}$
224449	Write in Standard Form	-k^5-1+8k-3k^3+1/4k^2	$- k^{5} - 1 + 8 k - 3 k^{3} + \frac{1}{4} k^{2}$
224450	Find the x and y Intercepts	y=1/4x^2+x-6	$y = \frac{1}{4} x^{2} + x - 6$
224451	Solve for y	-5/y<0	$- \frac{5}{y} < 0$
224452	Simplify	(4-x^2)/(-x-3)(x+4)/(x-2)(-x-3)/(x^2+6x+8)	$\frac{4 - x^{2}}{- x - 3} \cdot \frac{x + 4}{x - 2} \cdot \frac{- x - 3}{x^{2} + 6 x + 8}$
224453	Factor	x^4-13x^2=-36	$x^{4} - 13 x^{2} = - 36$
224454	Solve for x	x/2+1/2=3	$\frac{x}{2} + \frac{1}{2} = 3$
224455	Solve for x	(m^(5/6))(m^(1/6))^7=m^x	$(m^{\frac{5}{6}}) {(m^{\frac{1}{6}})}^{7} = m^{x}$
224456	Solve for y	(6x-1)/y-3=2	$\frac{6 x - 1}{y} - 3 = 2$
224457	Simplify	((4+5)^2)÷3	${(4 + 5)}^{2} \div 3$
224458	Simplify	3x(x+4)((x+1)/(3(x+4)))	$3 x (x + 4) (\frac{x + 1}{3 (x + 4)})$
224459	Solve the Inequality for x	\|x/6\|>=5	$\| \frac{x}{6} \| \geq 5$
224460	Simplify	square root of x^3+x^2- square root of 4+4x	$\sqrt{x^{3} + x^{2}} - \sqrt{4 + 4 x}$
224461	Evaluate	4(x^2-2x)-2(x^2-3)	$4 (x^{2} - 2 x) - 2 (x^{2} - 3)$
224462	Solve by Factoring	25c+10c^2=0	$25 c + 10 c^{2} = 0$
224463	Simplify	e^(- natural log of 2)	$e^{- \ln (2)}$
224464	Simplify	(8(9+x)^(1/3)-x(9+x)^(-2/3))/((9+x)^(2/3))	$\frac{8 {(9 + x)}^{\frac{1}{3}} - x {(9 + x)}^{- \frac{2}{3}}}{{(9 + x)}^{\frac{2}{3}}}$
224465	Find the Exact Value	2(1/2+0.5-4/4)	$2 (\frac{1}{2} + 0.5 - \frac{4}{4})$
224466	Simplify	10i-(3- square root of -25)	$10 i - (3 - \sqrt{- 25})$
224467	Simplify	(b^2)^a=b^8	${(b^{2})}^{a} = b^{8}$
224468	Subtract	(p+7)-(6p^2+13p)	$(p + 7) - (6 p^{2} + 13 p)$
224469	Write as a Single Logarithm	1/3 log base b of x- log base b of y	$\frac{1}{3} \log_{b} (x) - \log_{b} (y)$
224470	Solve for x	2/(x+6)+(2x)/(x+4)=(3x)/(x+6)	$\frac{2}{x + 6} + \frac{2 x}{x + 4} = \frac{3 x}{x + 6}$
224471	Find the LCM	6 and 21	$6$ and $21$
224472	Find the LCD	(x(x-2))/((x-2)(x+3)) and x/(x+3)	$\frac{x (x - 2)}{(x - 2) (x + 3)}$ and $\frac{x}{x + 3}$
224473	Simplify	(2a^2b-3ab^2+5a^2b^2)-(2a^2b^2+4a^2b-5b^2)	$(2 a^{2} b - 3 a b^{2} + 5 a^{2} b^{2}) - (2 a^{2} b^{2} + 4 a^{2} b - 5 b^{2})$
224474	Graph	x+y=-2 y=5x+4	$x + y = - 2$ $y = 5 x + 4$
224475	Simplify	((x+3x)/(y+2y))^2	${(\frac{x + 3 x}{y + 2 y})}^{2}$
224476	Rationalize the Denominator	( square root of xy)/( square root of 3x)	$\frac{\sqrt{x y}}{\sqrt{3 x}}$
224477	Find the x and y Intercepts	P(x)=5(x+1)^2(x-2)^3	$P (x) = 5 {(x + 1)}^{2} {(x - 2)}^{3}$
224478	Solve for x	x^3+2x^2-x=2	$x^{3} + 2 x^{2} - x = 2$
224479	Simplify	5(13-8)-3*7+3	$5 (13 - 8) - 3 \cdot 7 + 3$
224480	Multiply	0 , 1^2	$0$ , $1^{2}$
224481	Subtract	(g^3-2g^2+5g+6)-(g^2+2g)	$(g^{3} - 2 g^{2} + 5 g + 6) - (g^{2} + 2 g)$
224482	Graph	negative infinity	$- \infty$
224483	Solve for x	2(3x+4)=5x+3x-4	$2 (3 x + 4) = 5 x + 3 x - 4$
224484	Solve for x	2x-7+19=6x-4x+12	$2 x - 7 + 19 = 6 x - 4 x + 12$
224485	Factor	Factor x^2-2x-15	Factor $x^{2} - 2 x - 15$
224486	Simplify	2 square root of 3-x*4 cube root of 3-x	$2 \sqrt{3 - x} \cdot 4 \sqrt[3]{3 - x}$
224487	Multiply	fourth root of 27* fourth root of 3	$\sqrt[4]{27} \cdot \sqrt[4]{3}$
224488	Find the Degree	m+m^2	$m + m^{2}$
224489	Combine Like Terms	(3x^2+4x-1)+(-2x^2-3x+2)	$(3 x^{2} + 4 x - 1) + (- 2 x^{2} - 3 x + 2)$
224490	Write in Standard Form	f(x)=-5x-10+3x^4+4x^2	$f (x) = - 5 x - 10 + 3 x^{4} + 4 x^{2}$
224491	Solve the System of Equations	2x-1=y 3x-1=y	$2 x - 1 = y$ $3 x - 1 = y$
224492	Simplify	(1/4x^3y^-2)^-2(-4x^-1y)^-3	${(\frac{1}{4} x^{3} y^{- 2})}^{- 2} {(- 4 x^{- 1} y)}^{- 3}$
224493	Convert to a Simplified Fraction	75% as a fraction	$75 %$ as a fraction
224494	Simplify	cos(x)^2+cot(x)^2+sin(x)^2	$\cos^{2} (x) + \cot^{2} (x) + \sin^{2} (x)$
224495	Expand the Logarithmic Expression	log of ( cube root of x)/( cube root of yz)	$\log (\frac{\sqrt[3]{x}}{\sqrt[3]{y z}})$
224496	Simplify	(h+9)(5h-4h^2-10)	$(h + 9) (5 h - 4 h^{2} - 10)$
224497	Solve the Inequality for x	1/2(3/5x-1/2)>x+3/8	$\frac{1}{2} (\frac{3}{5} x - \frac{1}{2}) > x + \frac{3}{8}$
224498	Simplify	(x^-4)^5(x^3y^2)^5	${(x^{- 4})}^{5} {(x^{3} y^{2})}^{5}$
224499	Solve for w	(w-10)+40=0	$(w - 10) + 40 = 0$
224500	Evaluate	((2x)^-2)/((3x)^-2)	$\frac{{(2 x)}^{- 2}}{{(3 x)}^{- 2}}$