Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
221401	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (3,5) and has a slope of 2 ?	What is the equation of the line that passes through the point $(3, 5)$ and has a slope of $2$ ?
221402	Solve the System of Equations	3x+10y-12z=40 x-5y=0 x-4z=0	$3 x + 10 y - 12 z = 40$ $x - 5 y = 0$ $x - 4 z = 0$
221403	Evaluate	2pi*3/4	$2 π \cdot \frac{3}{4}$
221404	Evaluate	(4x square root of 5x^2+2x^2 square root of 6)^2	${(4 x \sqrt{5 x^{2}} + 2 x^{2} \sqrt{6})}^{2}$
221405	Solve for y	(x-6)/(x+3)*y/(x-6)=x-2	$\frac{x - 6}{x + 3} \cdot \frac{y}{x - 6} = x - 2$
221406	Evaluate	(2^23)+(12+3)2	$(2^{2} \cdot 3) + (12 + 3) \cdot 2$
221407	Evaluate	1/18(9)^0	$\frac{1}{18} {(9)}^{0}$
221408	Simplify	fourth root of 5/(x^3y^8)	$\sqrt[4]{\frac{5}{x^{3} y^{8}}}$
221409	Solve for x	log base 4 of x+1 = log base 4 of x+10	$\log_{4} (x + 1) = \log_{4} (x + 10)$
221410	Simplify	b^-9*(b^2)^4	$b^{- 9} \cdot {(b^{2})}^{4}$
221411	Solve the System of Equations	-x+3y+10z=8 4x-9y-34z=-17 3x+5y-2z=46	$- x + 3 y + 10 z = 8$ $4 x - 9 y - 34 z = - 17$ $3 x + 5 y - 2 z = 46$
221412	Solve for x	x=(910^9)(2.6*10^-6)	$x = (9 \cdot 10^{9}) \cdot (2.6 \cdot 10^{- 6})$
221413	Solve for x	1+3(x-5)=7+x	$1 + 3 (x - 5) = 7 + x$
221414	Divide	(7/15)÷(-11/6)	$\frac{7}{15} \div (- \frac{11}{6})$
221415	Graph	(2x+1)/(x-5)<=3	$\frac{2 x + 1}{x - 5} \leq 3$
221416	Simplify	(2^2)/(2^3)*2^5	$\frac{2^{2}}{2^{3}} \cdot 2^{5}$
221417	Simplify the Radical Expression	(a^(1/2))^(1/3)	${(a^{\frac{1}{2}})}^{\frac{1}{3}}$
221418	Convert to Radical Form	5^(1/2)+10(125)^(1/2)	$5^{\frac{1}{2}} + 10 {(125)}^{\frac{1}{2}}$
221419	Find All Complex Solutions	1/(x+3)=(x+10)/(x-2)	$\frac{1}{x + 3} = \frac{x + 10}{x - 2}$
221420	Factor	(8(t-3)^7(4t+7)^8-8(4t+7)^7*4(t-3)^8)/(((4t+7)^8)^2)	$\frac{8 {(t - 3)}^{7} {(4 t + 7)}^{8} - 8 {(4 t + 7)}^{7} \cdot 4 {(t - 3)}^{8}}{{({(4 t + 7)}^{8})}^{2}}$
221421	Factor	8xy^2z^2+12x^2y	$8 x y^{2} z^{2} + 12 x^{2} y$
221422	Graph	x>=-3y+6	$x \geq - 3 y + 6$
221423	Factor	x(x-2)+2-x	$x (x - 2) + 2 - x$
221424	Simplify	( square root of 3)/( square root of 3+1)	$\frac{\sqrt{3}}{\sqrt{3 + 1}}$
221425	Solve the Inequality for x	-3x+2.5x<=1.5(x+2)	$- 3 x + 2.5 x \leq 1.5 (x + 2)$
221426	Simplify	(a^2-10a+21)/(a-7)*(a^2+a-12)/((a-3)^2)	$\frac{a^{2} - 10 a + 21}{a - 7} \cdot \frac{a^{2} + a - 12}{{(a - 3)}^{2}}$
221427	Simplify	1/x+4/5	$\frac{1}{x} + \frac{4}{5}$
221428	Solve for b	square root of b-2=10	$\sqrt{b} - 2 = 10$
221429	Graph	Graph the line with the equation y=-2x+2	Graph the line with the equation $y = - 2 x + 2$
221430	Evaluate	log base b of 4b	$\log_{b} (4 b)$
221431	Determine if Linear	y=-5(x+7)	$y = - 5 (x + 7)$
221432	Solve for y	1/4y-3(1/2y+3)=-3/4y	$\frac{1}{4} y - 3 (\frac{1}{2} y + 3) = - \frac{3}{4} y$
221433	Simplify	(3x)/(2x-8)+x/(x-4)	$\frac{3 x}{2 x - 8} + \frac{x}{x - 4}$
221434	Find the x and y Intercepts	f(x)=(3x+2)(x+1)(x^2+4)	$f (x) = (3 x + 2) (x + 1) (x^{2} + 4)$
221435	Simplify	(2x-5)^2-(x+3)(x-3)	${(2 x - 5)}^{2} - (x + 3) (x - 3)$
221436	Simplify	63+48-3^3	$6 \cdot 3 + 4 \cdot 8 - 3^{3}$
221437	Find the Domain and Range	3+ square root of x-1	$3 + \sqrt{x - 1}$
221438	Solve for u	u^2=d	$u^{2} = d$
221439	Find the Exact Value	tan(pi/4)^2+2cos((8pi)/3)-sin((13pi)/6)	$\tan^{2} (\frac{π}{4}) + 2 \cos (\frac{8 π}{3}) - \sin (\frac{13 π}{6})$
221440	Rationalize the Denominator	8/( cube root of 3x^2)	$\frac{8}{\sqrt[3]{3 x^{2}}}$
221441	Solve the Inequality for v	3v>12	$3 v > 12$
221442	Simplify the Radical Expression	square root of cube root of 2/5	$\sqrt{\sqrt[3]{\frac{2}{5}}}$
221443	Solve the System of Equations	2x+y=0 x+3y-z=-11 7x+5y+4z=21	$2 x + y = 0$ $x + 3 y - z = - 11$ $7 x + 5 y + 4 z = 21$
221444	Evaluate the Function	g(1+h)=x^3	$g (1 + h) = x^{3}$
221445	Simplify	2x-3xy+4x-11xy	$2 x - 3 x y + 4 x - 11 x y$
221446	Write the Fraction in Simplest Form	(2b^7)/((3v^-3b^-2)^-5)	$\frac{2 b^{7}}{{(3 v^{- 3} b^{- 2})}^{- 5}}$
221447	Evaluate	-3/(x+3)=x/(x+3)-x/5	$\frac{- 3}{x + 3} = \frac{x}{x + 3} - \frac{x}{5}$
221448	Graph	f(x)=-2((x-2)(x-3))/(x-6)	$f (x) = - 2 \frac{(x - 2) (x - 3)}{(x - 6)}$
221449	Divide	(4/10)÷(1/3)	$\frac{4}{10} \div \frac{1}{3}$
221450	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 $2 x + 5$
221451	Simplify	2/( square root of 3- square root of 5)	$\frac{2}{\sqrt{3} - \sqrt{5}}$
221452	Find the Roots (Zeros)	-x^3+5x^2+12	$- x^{3} + 5 x^{2} + 12$
221453	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 $x = 12$
221454	Solve the Inequality for x	-7(4-x)+4>=-18+7x	$- 7 (4 - x) + 4 \geq - 18 + 7 x$
221455	Simplify	(3x^3)^2*(25x^6)^(1/2)	${(3 x^{3})}^{2} \cdot {(25 x^{6})}^{\frac{1}{2}}$
221456	Evaluate	3e^(2x)+4=24	$3 e^{2 x} + 4 = 24$
221457	Simplify	(2/5+4/3)/(3/5)	$\frac{\frac{2}{5} + \frac{4}{3}}{\frac{3}{5}}$
221458	Solve for R	A=piR^2-pir^2	$A = π R^{2} - π r^{2}$
221459	Solve for k	square root of 2(x-k)=x-k	$\sqrt{2 (x - k)} = x - k$
221460	Graph	graph x=2	graph $x = 2$
221461	Factor	Factor x^2-16	Factor $x^{2} - 16$
221462	Evaluate	6(h-6k+7)	$6 (h - 6 k + 7)$
221463	Write in Standard Form	(x^2+x+2)(x^2+8x-10)	$(x^{2} + x + 2) (x^{2} + 8 x - 10)$
221464	Simplify	find 2(4x-5)+(6x-4)	find $2 (4 x - 5) + (6 x - 4)$
221465	Solve for x	x/y=2	$\frac{x}{y} = 2$
221466	Solve for x	square root of square root of x+2=4	$\sqrt{\sqrt{x + 2}} = 4$
221467	Graph	y=9(-5)^x	$y = 9 {(- 5)}^{x}$
221468	Solve for x	r = square root of x^2+y^2	$r = \sqrt{x^{2} + y^{2}}$
221469	Write in Standard Form	2/5y-3/4x=-2	$\frac{2}{5} y - \frac{3}{4} x = - 2$
221470	Solve the Rational Equation for x	-2/(x-3)=x/(x-6)	$- \frac{2}{x - 3} = \frac{x}{x - 6}$
221471	Solve for x	-2(3x-10)+8x=7x+20+7x	$- 2 (3 x - 10) + 8 x = 7 x + 20 + 7 x$
221472	Simplify	(2x+9)/(x^2+5x+6)-(x+7)/(x^2+5x+6)	$\frac{2 x + 9}{x^{2} + 5 x + 6} - \frac{x + 7}{x^{2} + 5 x + 6}$
221473	Solve for x	4(1-7x)+5(3+5x)=4x-5-5x	$4 (1 - 7 x) + 5 (3 + 5 x) = 4 x - 5 - 5 x$
221474	Solve for y	3=e^(4y)	$3 = e^{4 y}$
221475	Simplify	x/(x^2-2x+1)-x/(x^2-1)	$\frac{x}{x^{2} - 2 x + 1} - \frac{x}{x^{2} - 1}$
221476	Simplify	( cube root of 36)÷( fourth root of 6)	$\sqrt[3]{36} \div \sqrt[4]{6}$
221477	Solve Using the Quadratic Formula	3x+5x^2=x-6	$3 x + 5 x^{2} = x - 6$
221478	Simplify	4x-5.2y+6y+7.9x-8x	$4 x - 5.2 y + 6 y + 7.9 x - 8 x$
221479	Solve for x	(1/16)^(2x-10)<=(1/16)^(3x+13)	${(\frac{1}{16})}^{2 x - 10} \leq {(\frac{1}{16})}^{3 x + 13}$
221480	Evaluate	(4*5)^2-6+3	${(4 \cdot 5)}^{2} - 6 + 3$
221481	Solve by Factoring	(x-4)^2+4=49	${(x - 4)}^{2} + 4 = 49$
221482	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 $x + 1$
221483	Solve the Rational Equation for n	(n+5)/(n+8)=1+6/(n+1)	$\frac{n + 5}{n + 8} = 1 + \frac{6}{n + 1}$
221484	Solve Using the Quadratic Formula	x^4+x^2-90=0	$x^{4} + x^{2} - 90 = 0$
221485	Solve the Absolute Value Inequality for c	\|4c+2\|=4	$\| 4 c + 2 \| = 4$
221486	Evaluate	csc(-2pi)	$\csc (- 2 π)$
221487	Simplify	(2x)/( square root of 5xy)	$\frac{2 x}{\sqrt{5 x y}}$
221488	Solve the Inequality for x	2x^2+4x-6<3x-3	$2 x^{2} + 4 x - 6 < 3 x - 3$
221489	Simplify the Radical Expression	(16x^-6y^-2)^(3/2)	${(16 x^{- 6} y^{- 2})}^{\frac{3}{2}}$
221490	Factor	x(2a+3b)+x(a+3b)	$x (2 a + 3 b) + x (a + 3 b)$
221491	Divide Using Long Polynomial Division	(3x^4-6x^2-x)/x	$\frac{3 x^{4} - 6 x^{2} - x}{x}$
221492	Simplify	8-\|-6\|+3	$8 - \| - 6 \| + 3$
221493	Evaluate	2/9+(1/5)÷(1/3)*1/2	$\frac{2}{9} + \frac{1}{5} \div \frac{1}{3} \cdot \frac{1}{2}$
221494	Evaluate	square root of ((910^9)\|(35010^-9)(-150*10^-9)\|)/50	$\sqrt{\frac{(9 \cdot 10^{9}) \| (350 \cdot 10^{- 9}) (- 150 \cdot 10^{- 9}) \|}{50}}$
221495	Simplify	( square root of -1)^3	${(\sqrt{- 1})}^{3}$
221496	Solve for z	7 1/8z=14 1/4	$7 \frac{1}{8} z = 14 \frac{1}{4}$
221497	Divide	(2x^4+8x^3-25x^2-6x+14)/(x+6)	$\frac{2 x^{4} + 8 x^{3} - 25 x^{2} - 6 x + 14}{x + 6}$
221498	Simplify the Radical Expression	( fifth root of 3b)^5	${(\sqrt[5]{3 b})}^{5}$
221499	Simplify	(7m^2n-18mn^2)+(9m^2n-5mn^2+mn)	$(7 m^{2} n - 18 m n^{2}) + (9 m^{2} n - 5 m n^{2} + m n)$
221500	Find the Exact Value	arcsec(-tan((3pi)/4))	$arcsec (- \tan (\frac{3 π}{4}))$