Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
229401	Divide Using Synthetic Division	Use synthetic division to find the result when x^3-3x^2-10x+24 is divided by x+3	Use synthetic division to find the result when $x^{3} - 3 x^{2} - 10 x + 24$ is divided by $x + 3$
229402	Solve the Rational Equation for x	(-2x+6)^(1/5)=(-8+10x)^(1/5)	${(- 2 x + 6)}^{\frac{1}{5}} = {(- 8 + 10 x)}^{\frac{1}{5}}$
229403	Simplify	((-8)^2c^0)/(5^-1d^-6)	$\frac{{(- 8)}^{2} c^{0}}{5^{- 1} d^{- 6}}$
229404	Solve for g	8/3=g/3	$\frac{8}{3} = \frac{g}{3}$
229405	Find All Complex Solutions	(x+1)/(x-3)=(x^2-6x+1)/((x-3)(x-1))	$\frac{x + 1}{x - 3} = \frac{x^{2} - 6 x + 1}{(x - 3) (x - 1)}$
229406	Evaluate	(2* square root of 6)^4	${(2 \cdot \sqrt{6})}^{4}$
229407	Evaluate	-cos(-pi)	$- \cos (- π)$
229408	Solve for x	2=x+ square root of x	$2 = x + \sqrt{x}$
229409	Write in Standard Form	3-3/4x=7/10	$3 - \frac{3}{4} x = \frac{7}{10}$
229410	Solve for a	(4a-4)/16-(3-5a)/24=1	$\frac{(4 a - 4)}{16} - \frac{(3 - 5 a)}{24} = 1$
229411	Simplify	(x-1/x)^3	${(x - \frac{1}{x})}^{3}$
229412	Solve for x	2/(x^2+1)+1/x=2/x	$\frac{2}{x^{2} + 1} + \frac{1}{x} = \frac{2}{x}$
229413	Find the GCF	5xy+30y^2	$5 x y + 30 y^{2}$
229414	Find the Product	4x^3*2x^3	$4 x^{3} \cdot 2 x^{3}$
229415	Find the Distance Between Two Points	(-1,2) and (-7,-6)	$(- 1, 2)$ and $(- 7, - 6)$
229416	Solve the Inequality for D	15<=1.04D-34.6<=23	$15 \leq 1.04 D - 34.6 \leq 23$
229417	Solve for x	64^(x-1)=4^((x-1)/3)	$64^{x - 1} = 4^{\frac{(x - 1)}{3}}$
229418	Solve the Inequality for p	-35<=15+10p<=25	$- 35 \leq 15 + 10 p \leq 25$
229419	Simplify	((2x-3)/(3x+8))/5	$\frac{\frac{2 x - 3}{3 x + 8}}{5}$
229420	Multiply	1/2x*2	$\frac{1}{2} x \cdot 2$
229421	Solve by Factoring	5x^3=50x	$5 x^{3} = 50 x$
229422	Convert to Radical Form	45^(3/2)*45^2	$45^{\frac{3}{2}} \cdot 45^{2}$
229423	Evaluate	8*4+9-9+18	$8 \cdot 4 + 9 - 9 + 18$
229424	Solve by Graphing	y=-3 y=x-3	$y = - 3$ $y = x - 3$
229425	Simplify	limit as x approaches 3 from the right of (x-3)/(\|x^3-3x^2\|)	$lim_{x \to 3^{+}} \frac{x - 3}{\| x^{3} - 3 x^{2} \|}$
229426	Solve the Inequality for p	-2p>=10	$- 2 p \geq 10$
229427	Evaluate	((3pi)/2)^2	${(\frac{3 π}{2})}^{2}$
229428	Simplify	7t^11u^3(-4t^-9)^2u^-5	$7 t^{11} u^{3} {(- 4 t^{- 9})}^{2} u^{- 5}$
229429	Find the Multiples	multiples of 8	multiples of $8$
229430	Write in Standard Form	i(8-i)	$i (8 - i)$
229431	Find the Domain and Range	log base 8 of \|x\|	$\log_{8} (\| x \|)$
229432	Subtract	x/(x^2+6x-16)-5/(x+8)	$\frac{x}{x^{2} + 6 x - 16} - \frac{5}{x + 8}$
229433	Simplify	(9cd^5)(2c^3d)^2	$(9 c d^{5}) {(2 c^{3} d)}^{2}$
229434	Graph	f(x)=-2x-5 g(x)=x-2	$f (x) = - 2 x - 5$ $g (x) = x - 2$
229435	Simplify	(a^2b^2)/( square root of c)	$\frac{a^{2} b^{2}}{\sqrt{c}}$
229436	Simplify	log base 2 of 36-2 log base 2 of 3	$\log_{2} (36) - 2 \log_{2} (3)$
229437	Simplify	(1+8r^3-2r^2)+(6r^3+6r^2-1)	$(1 + 8 r^{3} - 2 r^{2}) + (6 r^{3} + 6 r^{2} - 1)$
229438	Simplify	- square root of 144* square root of -9	$- \sqrt{144} \cdot \sqrt{- 9}$
229439	Determine if Parallel	Are the lines defined by the equations y+5x=1 and y=5x+4 parallel?	Are the lines defined by the equations $y + 5 x = 1$ and $y = 5 x + 4$ parallel?
229440	Solve the System of Inequalities	4m<=-32 and m+28>23	$4 m \leq - 32$ and $m + 28 > 23$
229441	Solve for x	1/3(6x+30)=4x+2(x-7)	$\frac{1}{3} (6 x + 30) = 4 x + 2 (x - 7)$
229442	Evaluate	17(a^(2n+1))^42a^(7n-12)	$17 \cdot {(a^{2 n + 1})}^{4} \cdot 2 a^{7 n - 12}$
229443	Simplify	(13*2-5^2)/((3^2-(-4))^2)	$\frac{13 \cdot 2 - 5^{2}}{{(3^{2} - (- 4))}^{2}}$
229444	Find the x and y Intercepts	f(x)=2(x^2+1)(x^2-3)	$f (x) = 2 (x^{2} + 1) (x^{2} - 3)$
229445	Simplify	((x^(1/2)y^3)/(y^(3/2)))^3	${(\frac{x^{\frac{1}{2}} y^{3}}{y^{\frac{3}{2}}})}^{3}$
229446	Solve for x	3-1/2x<=11	$3 - \frac{1}{2} x \leq 11$
229447	Find the x and y Intercepts	x^2+4y^2+16x-80y+320=0	$x^{2} + 4 y^{2} + 16 x - 80 y + 320 = 0$
229448	Solve for x	log of 3x+ log of x-4 = log of 15	$\log (3 x) + \log (x - 4) = \log (15)$
229449	Solve Over the Interval	sin(2x)=1 , 0<=x<2pi	$\sin (2 x) = 1$ , $0 \leq x < 2 π$
229450	Find the Directrix	x^2-2x+y-1=0	$x^{2} - 2 x + y - 1 = 0$
229451	Solve the Absolute Value Inequality for x	4=\|-5x+11\|	$4 = \| - 5 x + 11 \|$
229452	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (2,-6) and has a slope of -1 ?	What is the equation of the line that passes through the point $(2, - 6)$ and has a slope of $- 1$ ?
229453	Solve the System of Inequalities	x<5 and x>-4	$x < 5$ and $x > - 4$
229454	Solve for k	kx^2+x+100k=0	$k x^{2} + x + 100 k = 0$
229455	Solve the Inequality for x	x-12<-2x	$x - 12 < - 2 x$
229456	Describe the Transformation	y=-4+3 cube root of x+6	$y = - 4 + 3 \sqrt[3]{x + 6}$
229457	Solve for d	3(d+12)=8-4d	$3 (d + 12) = 8 - 4 d$
229458	Write the Fraction in Simplest Form	(12z^-6)/(4(b^-4z^-4)^-2)	$\frac{12 z^{- 6}}{4 {(b^{- 4} z^{- 4})}^{- 2}}$
229459	Graph	f(x)>=-\|x-5\|-3	$f (x) \geq - \| x - 5 \| - 3$
229460	Convert to a Decimal	325deg	$325$ degrees
229461	Find the Inverse	10x^(1/3)	$10 x^{\frac{1}{3}}$
229462	Simplify	((x^2+x)/(x^2-4x-5))÷((3x^2)/(x-5))	$\frac{x^{2} + x}{x^{2} - 4 x - 5} \div \frac{3 x^{2}}{x - 5}$
229463	Solve for P	E=5.00S+2.00P	$E = 5 S + 2 P$
229464	Evaluate the Function	f(x)=-x^6+5x^4+8x^3+2x-7 , x=-6	$f (x) = - x^{6} + 5 x^{4} + 8 x^{3} + 2 x - 7$ , $x = - 6$
229465	Solve for m	9-5m^3=-86	$9 - 5 m^{3} = - 86$
229466	Simplify	-(5c^-2)/(-4(c^4)^4)	$- \frac{5 c^{- 2}}{- 4 {(c^{4})}^{4}}$
229467	Write in Standard Form	f(x)=2-x^4+8x	$f (x) = 2 - x^{4} + 8 x$
229468	Evaluate	(csc(x)cos(x))/(tan(x)+cot(x))	$\frac{\csc (x) \cos (x)}{\tan (x) + \cot (x)}$
229469	Simplify	5x-3(x-1)^2	$5 x - 3 {(x - 1)}^{2}$
229470	Simplify	square root of cube root of fourth root of m^12	$\sqrt{\sqrt[3]{\sqrt[4]{m^{12}}}}$
229471	Evaluate	square root of 2x+8-6=-4	$\sqrt{2 x + 8} - 6 = - 4$
229472	Solve for x	3x=15+3 square root of x+1	$3 x = 15 + 3 \sqrt{x + 1}$
229473	Evaluate	(y^-2)^4+(y^3)/(y^5)	${(y^{- 2})}^{4} + \frac{y^{3}}{y^{5}}$
229474	Evaluate	1/(sin(x)^2)	$\frac{1}{\sin^{2} (x)}$
229475	Simplify	(4m- square root of 3)(4m- square root of 3)	$(4 m - \sqrt{3}) (4 m - \sqrt{3})$
229476	Simplify	1/2(2x+4)-1/3(9x-6)	$\frac{1}{2} (2 x + 4) - \frac{1}{3} (9 x - 6)$
229477	Evaluate	natural log of 6/(e^2)	$\ln (\frac{6}{e^{2}})$
229478	Write in Exponential Form	( square root of 3m)^2	${(\sqrt{3 m})}^{2}$
229479	Graph	x<=2 and x>=3	$x \leq 2$ and $x \geq 3$
229480	Simplify	(2x+16)/(x^2+3x-40)*(x^2-11x+30)/(x^2-14x+48)	$\frac{2 x + 16}{x^{2} + 3 x - 40} \cdot \frac{x^{2} - 11 x + 30}{x^{2} - 14 x + 48}$
229481	Solve for x	(2x-3)/10+1/2=x+1	$\frac{2 x - 3}{10} + \frac{1}{2} = x + 1$
229482	Convert to Rectangular	2(cos(pi/3)+isin(pi/3))*5(cos((2pi)/3)+isin((2pi)/3))	$2 (\cos (\frac{π}{3}) + i \sin (\frac{π}{3})) \cdot 5 (\cos (\frac{2 π}{3}) + i \sin (\frac{2 π}{3}))$
229483	Solve the Inequality for x	-3x<=-1+6(-x-7/6)-6x	$- 3 x \leq - 1 + 6 (- x - \frac{7}{6}) - 6 x$
229484	Graph	-1/2 square root of x	$- \frac{1}{2} \sqrt{x}$
229485	Convert to a Percentage	29 is what percent of 20	$29$ is what percent of $20$
229486	Find the Third Term	a_n=21-2n^2	$a_{n} = 21 - 2 n^{2}$
229487	Find All Complex Solutions	9x^4-2x^2-7=0	$9 x^{4} - 2 x^{2} - 7 = 0$
229488	Solve for x	2x^5+73=53	$2 x^{5} + 73 = 53$
229489	Solve for b	-3(33b+65)=-95b-6b-87	$- 3 (33 b + 65) = - 95 b - 6 b - 87$
229490	Solve the Inequality for x	5x+5(x-9)<10x-9	$5 x + 5 (x - 9) < 10 x - 9$
229491	Find the Degree, Leading Term, and Leading Coefficient	2/(m^2)+3m-12	$\frac{2}{m^{2}} + 3 m - 12$
229492	Solve the Inequality for a	3a+8+5a>4a-16	$3 a + 8 + 5 a > 4 a - 16$
229493	Graph	f(x)=2*cos(8/3x)	$f (x) = 2 \cdot \cos (\frac{8}{3} x)$
229494	Simplify	(64x^3y)^(2/3)	${(64 x^{3} y)}^{\frac{2}{3}}$
229495	Solve for x	2\|1/3x+1\|-3=5	$2 \| \frac{1}{3} x + 1 \| - 3 = 5$
229496	Solve for r	3/5r+1/5r=-15+11	$\frac{3}{5} r + \frac{1}{5} r = - 15 + 11$
229497	Divide Using Synthetic Division	(x^4y^4-x^3y^3-2x^2y^2+xy-5)÷(-xy-2)	$(x^{4} y^{4} - x^{3} y^{3} - 2 x^{2} y^{2} + x y - 5) \div (- x y - 2)$
229498	Evaluate	square root of -2x-5-4=x	$\sqrt{- 2 x - 5} - 4 = x$
229499	Simplify	-3(-3)^3-2	$- 3 {(- 3)}^{3} - 2$
229500	Rationalize the Denominator	x/(2- square root of 3)	$\frac{x}{2 - \sqrt{3}}$