Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
221401	Simplify	(2^2)/(2^3)*2^5	$\frac{2^{2}}{2^{3}} \cdot 2^{5}$
221402	Simplify the Radical Expression	(a^(1/2))^(1/3)	${(a^{\frac{1}{2}})}^{\frac{1}{3}}$
221403	Convert to Radical Form	5^(1/2)+10(125)^(1/2)	$5^{\frac{1}{2}} + 10 {(125)}^{\frac{1}{2}}$
221404	Find All Complex Solutions	1/(x+3)=(x+10)/(x-2)	$\frac{1}{x + 3} = \frac{x + 10}{x - 2}$
221405	Factor	(8(t-3)^7(4t+7)^8-8(4t+7)^7*4(t-3)^8)/(((4t+7)^8)^2)	$\frac{8 {(t - 3)}^{7} {(4 t + 7)}^{8} - 8 {(4 t + 7)}^{7} \cdot 4 {(t - 3)}^{8}}{{({(4 t + 7)}^{8})}^{2}}$
221406	Factor	8xy^2z^2+12x^2y	$8 x y^{2} z^{2} + 12 x^{2} y$
221407	Graph	x>=-3y+6	$x \geq - 3 y + 6$
221408	Factor	x(x-2)+2-x	$x (x - 2) + 2 - x$
221409	Simplify	( square root of 3)/( square root of 3+1)	$\frac{\sqrt{3}}{\sqrt{3 + 1}}$
221410	Solve the Inequality for x	-3x+2.5x<=1.5(x+2)	$- 3 x + 2.5 x \leq 1.5 (x + 2)$
221411	Simplify	(a^2-10a+21)/(a-7)*(a^2+a-12)/((a-3)^2)	$\frac{a^{2} - 10 a + 21}{a - 7} \cdot \frac{a^{2} + a - 12}{{(a - 3)}^{2}}$
221412	Simplify	1/x+4/5	$\frac{1}{x} + \frac{4}{5}$
221413	Solve for b	square root of b-2=10	$\sqrt{b} - 2 = 10$
221414	Graph	Graph the line with the equation y=-2x+2	Graph the line with the equation $y = - 2 x + 2$
221415	Evaluate	log base b of 4b	$\log_{b} (4 b)$
221416	Determine if Linear	y=-5(x+7)	$y = - 5 (x + 7)$
221417	Solve for y	1/4y-3(1/2y+3)=-3/4y	$\frac{1}{4} y - 3 (\frac{1}{2} y + 3) = - \frac{3}{4} y$
221418	Simplify	(3x)/(2x-8)+x/(x-4)	$\frac{3 x}{2 x - 8} + \frac{x}{x - 4}$
221419	Find the x and y Intercepts	f(x)=(3x+2)(x+1)(x^2+4)	$f (x) = (3 x + 2) (x + 1) (x^{2} + 4)$
221420	Simplify	(2x-5)^2-(x+3)(x-3)	${(2 x - 5)}^{2} - (x + 3) (x - 3)$
221421	Simplify	63+48-3^3	$6 \cdot 3 + 4 \cdot 8 - 3^{3}$
221422	Find the Domain and Range	3+ square root of x-1	$3 + \sqrt{x - 1}$
221423	Solve for u	u^2=d	$u^{2} = d$
221424	Find the Exact Value	tan(pi/4)^2+2cos((8pi)/3)-sin((13pi)/6)	$\tan^{2} (\frac{π}{4}) + 2 \cos (\frac{8 π}{3}) - \sin (\frac{13 π}{6})$
221425	Rationalize the Denominator	8/( cube root of 3x^2)	$\frac{8}{\sqrt[3]{3 x^{2}}}$
221426	Solve the Inequality for v	3v>12	$3 v > 12$
221427	Simplify the Radical Expression	square root of cube root of 2/5	$\sqrt{\sqrt[3]{\frac{2}{5}}}$
221428	Solve the System of Equations	2x+y=0 x+3y-z=-11 7x+5y+4z=21	$2 x + y = 0$ $x + 3 y - z = - 11$ $7 x + 5 y + 4 z = 21$
221429	Evaluate the Function	g(1+h)=x^3	$g (1 + h) = x^{3}$
221430	Simplify	2x-3xy+4x-11xy	$2 x - 3 x y + 4 x - 11 x y$
221431	Write the Fraction in Simplest Form	(2b^7)/((3v^-3b^-2)^-5)	$\frac{2 b^{7}}{{(3 v^{- 3} b^{- 2})}^{- 5}}$
221432	Evaluate	-3/(x+3)=x/(x+3)-x/5	$\frac{- 3}{x + 3} = \frac{x}{x + 3} - \frac{x}{5}$
221433	Graph	f(x)=-2((x-2)(x-3))/(x-6)	$f (x) = - 2 \frac{(x - 2) (x - 3)}{(x - 6)}$
221434	Divide	(4/10)÷(1/3)	$\frac{4}{10} \div \frac{1}{3}$
221435	Divide Using Long Polynomial Division	Use the long division method to find the result when 4x^3+18x^2+22x+5 is divided by 2x+5	Use the long division method to find the result when $4 x^{3} + 18 x^{2} + 22 x + 5$ is divided by $2 x + 5$
221436	Simplify	2/( square root of 3- square root of 5)	$\frac{2}{\sqrt{3} - \sqrt{5}}$
221437	Find the Roots (Zeros)	-x^3+5x^2+12	$- x^{3} + 5 x^{2} + 12$
221438	Find y Using the Constant of Variation	if y=12 when x=4 ; find y when x=12	if $y = 12$ when $x = 4$ ; find $y$ when $x = 12$
221439	Solve the Inequality for x	-7(4-x)+4>=-18+7x	$- 7 (4 - x) + 4 \geq - 18 + 7 x$
221440	Simplify	(3x^3)^2*(25x^6)^(1/2)	${(3 x^{3})}^{2} \cdot {(25 x^{6})}^{\frac{1}{2}}$
221441	Evaluate	3e^(2x)+4=24	$3 e^{2 x} + 4 = 24$
221442	Simplify	(2/5+4/3)/(3/5)	$\frac{\frac{2}{5} + \frac{4}{3}}{\frac{3}{5}}$
221443	Solve for R	A=piR^2-pir^2	$A = π R^{2} - π r^{2}$
221444	Solve for k	square root of 2(x-k)=x-k	$\sqrt{2 (x - k)} = x - k$
221445	Graph	graph x=2	graph $x = 2$
221446	Factor	Factor x^2-16	Factor $x^{2} - 16$
221447	Evaluate	6(h-6k+7)	$6 (h - 6 k + 7)$
221448	Write in Standard Form	(x^2+x+2)(x^2+8x-10)	$(x^{2} + x + 2) (x^{2} + 8 x - 10)$
221449	Simplify	find 2(4x-5)+(6x-4)	find $2 (4 x - 5) + (6 x - 4)$
221450	Solve for x	x/y=2	$\frac{x}{y} = 2$
221451	Solve for x	square root of square root of x+2=4	$\sqrt{\sqrt{x + 2}} = 4$
221452	Graph	y=9(-5)^x	$y = 9 {(- 5)}^{x}$
221453	Solve for x	r = square root of x^2+y^2	$r = \sqrt{x^{2} + y^{2}}$
221454	Write in Standard Form	2/5y-3/4x=-2	$\frac{2}{5} y - \frac{3}{4} x = - 2$
221455	Solve the Rational Equation for x	-2/(x-3)=x/(x-6)	$- \frac{2}{x - 3} = \frac{x}{x - 6}$
221456	Solve for x	-2(3x-10)+8x=7x+20+7x	$- 2 (3 x - 10) + 8 x = 7 x + 20 + 7 x$
221457	Simplify	(2x+9)/(x^2+5x+6)-(x+7)/(x^2+5x+6)	$\frac{2 x + 9}{x^{2} + 5 x + 6} - \frac{x + 7}{x^{2} + 5 x + 6}$
221458	Solve for x	4(1-7x)+5(3+5x)=4x-5-5x	$4 (1 - 7 x) + 5 (3 + 5 x) = 4 x - 5 - 5 x$
221459	Solve for y	3=e^(4y)	$3 = e^{4 y}$
221460	Simplify	x/(x^2-2x+1)-x/(x^2-1)	$\frac{x}{x^{2} - 2 x + 1} - \frac{x}{x^{2} - 1}$
221461	Simplify	( cube root of 36)÷( fourth root of 6)	$\sqrt[3]{36} \div \sqrt[4]{6}$
221462	Solve Using the Quadratic Formula	3x+5x^2=x-6	$3 x + 5 x^{2} = x - 6$
221463	Simplify	4x-5.2y+6y+7.9x-8x	$4 x - 5.2 y + 6 y + 7.9 x - 8 x$
221464	Solve for x	(1/16)^(2x-10)<=(1/16)^(3x+13)	${(\frac{1}{16})}^{2 x - 10} \leq {(\frac{1}{16})}^{3 x + 13}$
221465	Evaluate	(4*5)^2-6+3	${(4 \cdot 5)}^{2} - 6 + 3$
221466	Solve by Factoring	(x-4)^2+4=49	${(x - 4)}^{2} + 4 = 49$
221467	Divide Using Synthetic Division	Use synthetic division to find the result when x^4+9x^3+13x^2+8x+3 is divided by x+1	Use synthetic division to find the result when $x^{4} + 9 x^{3} + 13 x^{2} + 8 x + 3$ is divided by $x + 1$
221468	Solve the Rational Equation for n	(n+5)/(n+8)=1+6/(n+1)	$\frac{n + 5}{n + 8} = 1 + \frac{6}{n + 1}$
221469	Solve Using the Quadratic Formula	x^4+x^2-90=0	$x^{4} + x^{2} - 90 = 0$
221470	Solve the Absolute Value Inequality for c	\|4c+2\|=4	$\| 4 c + 2 \| = 4$
221471	Evaluate	csc(-2pi)	$\csc (- 2 π)$
221472	Simplify	(2x)/( square root of 5xy)	$\frac{2 x}{\sqrt{5 x y}}$
221473	Solve the Inequality for x	2x^2+4x-6<3x-3	$2 x^{2} + 4 x - 6 < 3 x - 3$
221474	Simplify the Radical Expression	(16x^-6y^-2)^(3/2)	${(16 x^{- 6} y^{- 2})}^{\frac{3}{2}}$
221475	Factor	x(2a+3b)+x(a+3b)	$x (2 a + 3 b) + x (a + 3 b)$
221476	Divide Using Long Polynomial Division	(3x^4-6x^2-x)/x	$\frac{3 x^{4} - 6 x^{2} - x}{x}$
221477	Simplify	8-\|-6\|+3	$8 - \| - 6 \| + 3$
221478	Evaluate	2/9+(1/5)÷(1/3)*1/2	$\frac{2}{9} + \frac{1}{5} \div \frac{1}{3} \cdot \frac{1}{2}$
221479	Evaluate	square root of ((910^9)\|(35010^-9)(-150*10^-9)\|)/50	$\sqrt{\frac{(9 \cdot 10^{9}) \| (350 \cdot 10^{- 9}) (- 150 \cdot 10^{- 9}) \|}{50}}$
221480	Simplify	( square root of -1)^3	${(\sqrt{- 1})}^{3}$
221481	Solve for z	7 1/8z=14 1/4	$7 \frac{1}{8} z = 14 \frac{1}{4}$
221482	Divide	(2x^4+8x^3-25x^2-6x+14)/(x+6)	$\frac{2 x^{4} + 8 x^{3} - 25 x^{2} - 6 x + 14}{x + 6}$
221483	Simplify the Radical Expression	( fifth root of 3b)^5	${(\sqrt[5]{3 b})}^{5}$
221484	Simplify	(7m^2n-18mn^2)+(9m^2n-5mn^2+mn)	$(7 m^{2} n - 18 m n^{2}) + (9 m^{2} n - 5 m n^{2} + m n)$
221485	Find the Exact Value	arcsec(-tan((3pi)/4))	$arcsec (- \tan (\frac{3 π}{4}))$
221486	Simplify	(-2x^4-4y^3+4z^3+6)-(-9x^4-3y^3+4z^3+9)	$(- 2 x^{4} - 4 y^{3} + 4 z^{3} + 6) - (- 9 x^{4} - 3 y^{3} + 4 z^{3} + 9)$
221487	Simplify	(2^7z^5)/(2^6z^3)	$\frac{2^{7} z^{5}}{2^{6} z^{3}}$
221488	Evaluate	(x^2y-3y^2+5xy^2)-(-x^2y+3xy^2-3y^2)	$(x^{2} y - 3 y^{2} + 5 x y^{2}) - (- x^{2} y + 3 x y^{2} - 3 y^{2})$
221489	Graph	x<=-3 x>=3 y<=-4 y>=4	$x \leq - 3$ $x \geq 3$ $y \leq - 4$ $y \geq 4$
221490	Simplify	(3x-1/4)(4x+8)	$(3 x - \frac{1}{4}) (4 x + 8)$
221491	Evaluate Using the Given Value	20x if x=1/4	$20 x$ if $x = \frac{1}{4}$
221492	Solve for y	4x=3+y	$4 x = 3 + y$
221493	Evaluate	-1/4(20z+24)	$- \frac{1}{4} (20 z + 24)$
221494	Solve the Rational Equation for x	(4x)/(x+4)+3/(x-1)=15/(x^2+3x-4)	$\frac{4 x}{x + 4} + \frac{3}{x - 1} = \frac{15}{x^{2} + 3 x - 4}$
221495	Simplify	(8+7n^4)-(5-2n+8n^4)	$(8 + 7 n^{4}) - (5 - 2 n + 8 n^{4})$
221496	Evaluate	5/6-7/9(1/2)^2	$\frac{5}{6} - \frac{7}{9} {(\frac{1}{2})}^{2}$
221497	Solve for x	3x^(1/3)-2=-4	$3 x^{\frac{1}{3}} - 2 = - 4$
221498	Simplify	(2x^2-2y^2)/(x^2+2xy+y^2)	$\frac{(2 x^{2} - 2 y^{2})}{x^{2} + 2 x y + y^{2}}$
221499	Find the Degree	arcsin(-( square root of 3)/2)	$\arcsin (- \frac{\sqrt{3}}{2})$
221500	Multiply	-9*(0/-3)	$- 9 \cdot (\frac{0}{- 3})$