Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
229401	Solve for x	64^(x-1)=4^((x-1)/3)	$64^{x - 1} = 4^{\frac{(x - 1)}{3}}$
229402	Solve the Inequality for p	-35<=15+10p<=25	$- 35 \leq 15 + 10 p \leq 25$
229403	Simplify	((2x-3)/(3x+8))/5	$\frac{\frac{2 x - 3}{3 x + 8}}{5}$
229404	Multiply	1/2x*2	$\frac{1}{2} x \cdot 2$
229405	Solve by Factoring	5x^3=50x	$5 x^{3} = 50 x$
229406	Convert to Radical Form	45^(3/2)*45^2	$45^{\frac{3}{2}} \cdot 45^{2}$
229407	Evaluate	8*4+9-9+18	$8 \cdot 4 + 9 - 9 + 18$
229408	Solve by Graphing	y=-3 y=x-3	$y = - 3$ $y = x - 3$
229409	Simplify	limit as x approaches 3 from the right of (x-3)/(\|x^3-3x^2\|)	$lim_{x \to 3^{+}} \frac{x - 3}{\| x^{3} - 3 x^{2} \|}$
229410	Solve the Inequality for p	-2p>=10	$- 2 p \geq 10$
229411	Evaluate	((3pi)/2)^2	${(\frac{3 π}{2})}^{2}$
229412	Simplify	7t^11u^3(-4t^-9)^2u^-5	$7 t^{11} u^{3} {(- 4 t^{- 9})}^{2} u^{- 5}$
229413	Find the Multiples	multiples of 8	multiples of $8$
229414	Write in Standard Form	i(8-i)	$i (8 - i)$
229415	Find the Domain and Range	log base 8 of \|x\|	$\log_{8} (\| x \|)$
229416	Subtract	x/(x^2+6x-16)-5/(x+8)	$\frac{x}{x^{2} + 6 x - 16} - \frac{5}{x + 8}$
229417	Simplify	(9cd^5)(2c^3d)^2	$(9 c d^{5}) {(2 c^{3} d)}^{2}$
229418	Graph	f(x)=-2x-5 g(x)=x-2	$f (x) = - 2 x - 5$ $g (x) = x - 2$
229419	Simplify	(a^2b^2)/( square root of c)	$\frac{a^{2} b^{2}}{\sqrt{c}}$
229420	Simplify	log base 2 of 36-2 log base 2 of 3	$\log_{2} (36) - 2 \log_{2} (3)$
229421	Simplify	(1+8r^3-2r^2)+(6r^3+6r^2-1)	$(1 + 8 r^{3} - 2 r^{2}) + (6 r^{3} + 6 r^{2} - 1)$
229422	Simplify	- square root of 144* square root of -9	$- \sqrt{144} \cdot \sqrt{- 9}$
229423	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?
229424	Solve the System of Inequalities	4m<=-32 and m+28>23	$4 m \leq - 32$ and $m + 28 > 23$
229425	Solve for x	1/3(6x+30)=4x+2(x-7)	$\frac{1}{3} (6 x + 30) = 4 x + 2 (x - 7)$
229426	Evaluate	17(a^(2n+1))^42a^(7n-12)	$17 \cdot {(a^{2 n + 1})}^{4} \cdot 2 a^{7 n - 12}$
229427	Simplify	(13*2-5^2)/((3^2-(-4))^2)	$\frac{13 \cdot 2 - 5^{2}}{{(3^{2} - (- 4))}^{2}}$
229428	Find the x and y Intercepts	f(x)=2(x^2+1)(x^2-3)	$f (x) = 2 (x^{2} + 1) (x^{2} - 3)$
229429	Simplify	((x^(1/2)y^3)/(y^(3/2)))^3	${(\frac{x^{\frac{1}{2}} y^{3}}{y^{\frac{3}{2}}})}^{3}$
229430	Solve for x	3-1/2x<=11	$3 - \frac{1}{2} x \leq 11$
229431	Find the x and y Intercepts	x^2+4y^2+16x-80y+320=0	$x^{2} + 4 y^{2} + 16 x - 80 y + 320 = 0$
229432	Solve for x	log of 3x+ log of x-4 = log of 15	$\log (3 x) + \log (x - 4) = \log (15)$
229433	Solve Over the Interval	sin(2x)=1 , 0<=x<2pi	$\sin (2 x) = 1$ , $0 \leq x < 2 π$
229434	Find the Directrix	x^2-2x+y-1=0	$x^{2} - 2 x + y - 1 = 0$
229435	Solve the Absolute Value Inequality for x	4=\|-5x+11\|	$4 = \| - 5 x + 11 \|$
229436	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 $- 1$ ?
229437	Solve the System of Inequalities	x<5 and x>-4	$x < 5$ and $x > - 4$
229438	Solve for k	kx^2+x+100k=0	$k x^{2} + x + 100 k = 0$
229439	Solve the Inequality for x	x-12<-2x	$x - 12 < - 2 x$
229440	Describe the Transformation	y=-4+3 cube root of x+6	$y = - 4 + 3 \sqrt[3]{x + 6}$
229441	Solve for d	3(d+12)=8-4d	$3 (d + 12) = 8 - 4 d$
229442	Write the Fraction in Simplest Form	(12z^-6)/(4(b^-4z^-4)^-2)	$\frac{12 z^{- 6}}{4 {(b^{- 4} z^{- 4})}^{- 2}}$
229443	Graph	f(x)>=-\|x-5\|-3	$f (x) \geq - \| x - 5 \| - 3$
229444	Convert to a Decimal	325deg	$325$ degrees
229445	Find the Inverse	10x^(1/3)	$10 x^{\frac{1}{3}}$
229446	Simplify	((x^2+x)/(x^2-4x-5))÷((3x^2)/(x-5))	$\frac{x^{2} + x}{x^{2} - 4 x - 5} \div \frac{3 x^{2}}{x - 5}$
229447	Solve for P	E=5.00S+2.00P	$E = 5 S + 2 P$
229448	Evaluate the Function	f(x)=-x^6+5x^4+8x^3+2x-7 , x=-6	$f (x) = - x^{6} + 5 x^{4} + 8 x^{3} + 2 x - 7$ , $x = - 6$
229449	Solve for m	9-5m^3=-86	$9 - 5 m^{3} = - 86$
229450	Simplify	-(5c^-2)/(-4(c^4)^4)	$- \frac{5 c^{- 2}}{- 4 {(c^{4})}^{4}}$
229451	Write in Standard Form	f(x)=2-x^4+8x	$f (x) = 2 - x^{4} + 8 x$
229452	Evaluate	(csc(x)cos(x))/(tan(x)+cot(x))	$\frac{\csc (x) \cos (x)}{\tan (x) + \cot (x)}$
229453	Simplify	5x-3(x-1)^2	$5 x - 3 {(x - 1)}^{2}$
229454	Simplify	square root of cube root of fourth root of m^12	$\sqrt{\sqrt[3]{\sqrt[4]{m^{12}}}}$
229455	Evaluate	square root of 2x+8-6=-4	$\sqrt{2 x + 8} - 6 = - 4$
229456	Solve for x	3x=15+3 square root of x+1	$3 x = 15 + 3 \sqrt{x + 1}$
229457	Evaluate	(y^-2)^4+(y^3)/(y^5)	${(y^{- 2})}^{4} + \frac{y^{3}}{y^{5}}$
229458	Evaluate	1/(sin(x)^2)	$\frac{1}{\sin^{2} (x)}$
229459	Simplify	(4m- square root of 3)(4m- square root of 3)	$(4 m - \sqrt{3}) (4 m - \sqrt{3})$
229460	Simplify	1/2(2x+4)-1/3(9x-6)	$\frac{1}{2} (2 x + 4) - \frac{1}{3} (9 x - 6)$
229461	Evaluate	natural log of 6/(e^2)	$\ln (\frac{6}{e^{2}})$
229462	Write in Exponential Form	( square root of 3m)^2	${(\sqrt{3 m})}^{2}$
229463	Graph	x<=2 and x>=3	$x \leq 2$ and $x \geq 3$
229464	Simplify	(2x+16)/(x^2+3x-40)*(x^2-11x+30)/(x^2-14x+48)	$\frac{2 x + 16}{x^{2} + 3 x - 40} \cdot \frac{x^{2} - 11 x + 30}{x^{2} - 14 x + 48}$
229465	Solve for x	(2x-3)/10+1/2=x+1	$\frac{2 x - 3}{10} + \frac{1}{2} = x + 1$
229466	Convert to Rectangular	2(cos(pi/3)+isin(pi/3))*5(cos((2pi)/3)+isin((2pi)/3))	$2 (\cos (\frac{π}{3}) + i \sin (\frac{π}{3})) \cdot 5 (\cos (\frac{2 π}{3}) + i \sin (\frac{2 π}{3}))$
229467	Solve the Inequality for x	-3x<=-1+6(-x-7/6)-6x	$- 3 x \leq - 1 + 6 (- x - \frac{7}{6}) - 6 x$
229468	Graph	-1/2 square root of x	$- \frac{1}{2} \sqrt{x}$
229469	Convert to a Percentage	29 is what percent of 20	$29$ is what percent of $20$
229470	Find the Third Term	a_n=21-2n^2	$a_{n} = 21 - 2 n^{2}$
229471	Find All Complex Solutions	9x^4-2x^2-7=0	$9 x^{4} - 2 x^{2} - 7 = 0$
229472	Solve for x	2x^5+73=53	$2 x^{5} + 73 = 53$
229473	Solve for b	-3(33b+65)=-95b-6b-87	$- 3 (33 b + 65) = - 95 b - 6 b - 87$
229474	Solve the Inequality for x	5x+5(x-9)<10x-9	$5 x + 5 (x - 9) < 10 x - 9$
229475	Find the Degree, Leading Term, and Leading Coefficient	2/(m^2)+3m-12	$\frac{2}{m^{2}} + 3 m - 12$
229476	Solve the Inequality for a	3a+8+5a>4a-16	$3 a + 8 + 5 a > 4 a - 16$
229477	Graph	f(x)=2*cos(8/3x)	$f (x) = 2 \cdot \cos (\frac{8}{3} x)$
229478	Simplify	(64x^3y)^(2/3)	${(64 x^{3} y)}^{\frac{2}{3}}$
229479	Solve for x	2\|1/3x+1\|-3=5	$2 \| \frac{1}{3} x + 1 \| - 3 = 5$
229480	Solve for r	3/5r+1/5r=-15+11	$\frac{3}{5} r + \frac{1}{5} r = - 15 + 11$
229481	Divide Using Synthetic Division	(x^4y^4-x^3y^3-2x^2y^2+xy-5)÷(-xy-2)	$(x^{4} y^{4} - x^{3} y^{3} - 2 x^{2} y^{2} + x y - 5) \div (- x y - 2)$
229482	Evaluate	square root of -2x-5-4=x	$\sqrt{- 2 x - 5} - 4 = x$
229483	Simplify	-3(-3)^3-2	$- 3 {(- 3)}^{3} - 2$
229484	Rationalize the Denominator	x/(2- square root of 3)	$\frac{x}{2 - \sqrt{3}}$
229485	Evaluate	(2\|-8\|)/-8	$\frac{2 \| - 8 \|}{- 8}$
229486	Write in Standard Form	square root of -16+ square root of -64	$\sqrt{- 16} + \sqrt{- 64}$
229487	Find the Prime Factorization	Find the prime factorization of 210	Find the prime factorization of $210$
229488	Multiply	1/4(8mn)(-6m^2n^2)	$\frac{1}{4} (8 m n) (- 6 m^{2} n^{2})$
229489	Simplify	(2/3x^(-1/3))^2	${(\frac{2}{3} x^{- \frac{1}{3}})}^{2}$
229490	Solve the Inequality for b	b/9-34<-36	$\frac{b}{9} - 34 < - 36$
229491	Rationalize the Denominator	(9-3 square root of 15)/(12-4 square root of 15)	$\frac{9 - 3 \sqrt{15}}{12 - 4 \sqrt{15}}$
229492	Graph	f(x)=-1/2* natural log of x+3	$f (x) = - \frac{1}{2} \cdot \ln (x + 3)$
229493	Find the Inverse	f(x) = cube root of 5^x+9	$f (x) = \sqrt[3]{5^{x}} + 9$
229494	Combine Like Terms	2(1-3r)+5r	$2 (1 - 3 r) + 5 r$
229495	Solve the System of Equations	5x+2y+z=4 x+2z=4 2x+y-z=-1	$5 x + 2 y + z = 4$ $x + 2 z = 4$ $2 x + y - z = - 1$
229496	Simplify	z/(Z^0)	$\frac{z}{Z^{0}}$
229497	Find the Domain and Range	x=y	$x = y$
229498	Simplify	(a^-2b^8)/(a^5b^-2c^3)	$\frac{a^{- 2} b^{8}}{a^{5} b^{- 2} c^{3}}$
229499	Factor	y=x^3+125	$y = x^{3} + 125$
229500	Solve the Rational Equation for x	9/(3x)=4/(x+2)	$\frac{9}{3 x} = \frac{4}{x + 2}$