Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
218401	Solve for b	1/(4a)-c/(3b)=1	$\frac{1}{4 a} - \frac{c}{3 b} = 1$
218402	Solve Using the Quadratic Formula	5x^2+6x+7=x^2-4x	$5 x^{2} + 6 x + 7 = x^{2} - 4 x$
218403	Simplify	1/4(8+x+4)	$\frac{1}{4} (8 + x + 4)$
218404	Solve for x	sin(x)-1=cos(x)	$\sin (x) - 1 = \cos (x)$
218405	Evaluate	(3x+1)-(x+2)	$(3 x + 1) - (x + 2)$
218406	Find the Domain and Range	j(x)=tan(x/2-pi)	$j (x) = \tan (\frac{x}{2} - π)$
218407	Evaluate	i^9i^9i^21*i^28	$i^{9} \cdot i^{9} \cdot i^{21} \cdot i^{28}$
218408	Solve the Inequality for x	3x^2+6x-2>=4x-1	$3 x^{2} + 6 x - 2 \geq 4 x - 1$
218409	Evaluate	4^(2p)=4^(-2p-1)	$4^{2 p} = 4^{- 2 p - 1}$
218410	Solve the System of Equations	6x-y-3z=7 9x+y+5z=4 3x+y+z=6	$6 x - y - 3 z = 7$ $9 x + y + 5 z = 4$ $3 x + y + z = 6$
218411	Solve for x	1/5(x+0.5)+5.24=3/2x+7/10(x+2.2)	$\frac{1}{5} (x + 0.5) + 5.24 = \frac{3}{2} x + \frac{7}{10} (x + 2.2)$
218412	Write in Standard Form	(3t^4+4t^3-32t^2-5t-20)(t+4)^-1	$(3 t^{4} + 4 t^{3} - 32 t^{2} - 5 t - 20) {(t + 4)}^{- 1}$
218413	Find the Exact Value	sin(-360 degrees )	$\sin (- 360 °)$
218414	Evaluate	4/3x-8/3=3/2x+7/4	$\frac{4}{3} x - \frac{8}{3} = \frac{3}{2} x + \frac{7}{4}$
218415	Solve for x	x/(x-1)=2/(x-3)	$\frac{x}{x - 1} = \frac{2}{x - 3}$
218416	Solve for y	6y+4-3y=-5+y+17	$6 y + 4 - 3 y = - 5 + y + 17$
218417	Solve the System of Inequalities	y<-2x+1 x+2y>=-4	$y < - 2 x + 1$ $x + 2 y \geq - 4$
218418	Expand Using the Binomial Theorem	(3xy^2-5y)^5	${(3 x y^{2} - 5 y)}^{5}$
218419	Divide Using Long Polynomial Division	(-2x^2+x^3-75)÷(x-5)	$(- 2 x^{2} + x^{3} - 75) \div (x - 5)$
218420	Simplify	((2x)^x(2x)^(2x))^(1/x)	${({(2 x)}^{x} {(2 x)}^{2 x})}^{\frac{1}{x}}$
218421	Graph	y>=-3+4	$y \geq - 3 + 4$
218422	Solve for a	8-a/2=3(4-5a)	$8 - \frac{a}{2} = 3 (4 - 5 a)$
218423	Simplify	(sec(x))/(sin(x))	$\frac{\sec (x)}{\sin (x)}$
218424	Determine if True	1+cot(theta)^2=csc(theta)^2	$1 + \cot^{2} (θ) = \csc^{2} (θ)$
218425	Solve for a	y=ax+2	$y = a x + 2$
218426	Solve for x	6x+5=5x+8+2x	$6 x + 5 = 5 x + 8 + 2 x$
218427	Reduce	square root of 216	$\sqrt{216}$
218428	Find the Slope and y-intercept	y=-3+2	$y = - 3 + 2$
218429	Simplify	((5q)/(q+1))/(1-q/(q+1))	$\frac{\frac{5 q}{q + 1}}{1 - \frac{q}{q + 1}}$
218430	Evaluate	5* log base 5 of 4- log base 5 of 16	$5 \cdot \log_{5} (4) - \log_{5} (16)$
218431	Convert to a Decimal	14rev per s	$14$ revolutions per second
218432	Find the LCD	7/(9x+18) and 5/(6x)	$\frac{7}{9 x + 18}$ and $\frac{5}{6 x}$
218433	Divide Using Long Polynomial Division	(6y^4+15y^3-28y^2-6)÷(y+2)	$(6 y^{4} + 15 y^{3} - 28 y^{2} - 6) \div (y + 2)$
218434	Simplify the Radical Expression	3 cube root of 12+5 cube root of 12	$3 \sqrt[3]{12} + 5 \sqrt[3]{12}$
218435	Simplify	(-u^2)(-6u^2v^3)(-u^3v^4)	$(- u^{2}) (- 6 u^{2} v^{3}) (- u^{3} v^{4})$
218436	Write the Absolute Value as Piecewise	f(x)=\|1-x\|	$f (x) = \| 1 - x \|$
218437	Solve for x	cube root of x/3=-2	$\sqrt[3]{\frac{x}{3}} = - 2$
218438	Simplify	(-32)^(-1/5)	${(- 32)}^{\frac{- 1}{5}}$
218439	Solve for x	z(x)=16x^2+8x+1	$z (x) = 16 x^{2} + 8 x + 1$
218440	Evaluate	log base 4 of 1/4x^2	$\log_{4} (\frac{1}{4} x^{2})$
218441	Simplify	square root of 8mn^2+2n square root of 18m	$\sqrt{8 m n^{2}} + 2 n \sqrt{18 m}$
218442	Evaluate	xy^-7	$x y^{- 7}$
218443	Simplify	(14-30)/(2(-4))	$\frac{14 - 30}{2 (- 4)}$
218444	Graph	-y<2+3x	$- y < 2 + 3 x$
218445	Find the Domain and Range	x^3+5x^2-1	$x^{3} + 5 x^{2} - 1$
218446	Solve for x	0.4(2x+1/2)=3(0.2x+(-2))-4	$0.4 (2 x + \frac{1}{2}) = 3 (0.2 x + (- 2)) - 4$
218447	Solve for x	\|3x\|<=4	$\| 3 x \| \leq 4$
218448	Divide	(((x-y)^2)/(x+y))÷((3x+3y)/(x^2-y^2))	$\frac{{(x - y)}^{2}}{x + y} \div \frac{3 x + 3 y}{x^{2} - y^{2}}$
218449	Solve for u	39=-2u-3u-26	$39 = - 2 u - 3 u - 26$
218450	Describe the Transformation	y=1/2(x+1)^4-3	$y = \frac{1}{2} {(x + 1)}^{4} - 3$
218451	Simplify	((2a^3b^-2)/(c^3))^5	${(\frac{2 a^{3} b^{- 2}}{c^{3}})}^{5}$
218452	Solve for x	7-9/2=-5/(2x)	$7 - \frac{9}{2} = \frac{- 5}{2 x}$
218453	Find the Slope and y-intercept	y=(-x)/3	$y = \frac{- x}{3}$
218454	Write in Standard Form	x^6y^2+4x^3y^8+10x	$x^{6} y^{2} + 4 x^{3} y^{8} + 10 x$
218455	Find the GCF	318 and 282	$318$ and $282$
218456	Solve for n	2n>20	$2 n > 20$
218457	Solve for x	(x+x+2)/4=189.5	$\frac{x + x + 2}{4} = 189.5$
218458	Solve for x	x-(8-5x)=12x-23	$x - (8 - 5 x) = 12 x - 23$
218459	Find the Product	10a(a-10b)	$10 a (a - 10 b)$
218460	Graph	c(x)=2+3x^2-x^3	$c (x) = 2 + 3 x^{2} - x^{3}$
218461	Solve the Rational Equation for x	2 square root of 3x+1=4x	$2 \sqrt{3 x + 1} = 4 x$
218462	Simplify	(-7x^2+4x+2)-(x^2-3)	$(- 7 x^{2} + 4 x + 2) - (x^{2} - 3)$
218463	Simplify	-2(-4a^2+b^3)^2	$- 2 {(- 4 a^{2} + b^{3})}^{2}$
218464	Solve the Inequality for q	q-16<=30	$q - 16 \leq 30$
218465	Evaluate	cube root of square root of 27	$\sqrt[3]{\sqrt{27}}$
218466	Evaluate	4(4)^(3/2)	$4 {(4)}^{\frac{3}{2}}$
218467	Simplify	7*7^-5	$7 \cdot 7^{- 5}$
218468	Simplify	-6/(\|-6\|)	$\frac{- 6}{\| - 6 \|}$
218469	Graph	y>x+3 and y>=-2x+1	$y > x + 3$ and $y \geq - 2 x + 1$
218470	Write the Fraction in Simplest Form	(15qy^8)/(3(y^-1)^2)	$\frac{15 q y^{8}}{3 {(y^{- 1})}^{2}}$
218471	Simplify	(x-2)(x+3)(9/(x-2))	$(x - 2) (x + 3) (\frac{9}{x - 2})$
218472	Simplify	(-x^2+5x)-(6x^2+x-2)	$(- x^{2} + 5 x) - (6 x^{2} + x - 2)$
218473	Solve for x	-3/(x+3)=x/(x+3)-x/5	$- \frac{3}{x + 3} = \frac{x}{x + 3} - \frac{x}{5}$
218474	Simplify	((2x^3y^11zw^6)/(3xy^7z^4w^5))^3	${(\frac{2 x^{3} y^{11} z w^{6}}{3 x y^{7} z^{4} w^{5}})}^{3}$
218475	Simplify	(y^(-1/5))^(-1/3)	${(y^{\frac{- 1}{5}})}^{\frac{- 1}{3}}$
218476	Simplify the Radical Expression	( square root of z^9)/( fourth root of z^3)	$\frac{\sqrt{z^{9}}}{\sqrt[4]{z^{3}}}$
218477	Solve for v	fourth root of v=-4	$\sqrt[4]{v} = - 4$
218478	Simplify	(4xy)^2(4xy^2)	${(4 x y)}^{2} (4 x y^{2})$
218479	Find the Domain and Range	y=6/11arcsin((2x)/5+3)	$y = \frac{6}{11} \arcsin (\frac{2 x}{5} + 3)$
218480	Simplify	cube root of 4x^2( cube root of 2x-5 cube root of 4x^2)	$\sqrt[3]{4 x^{2}} (\sqrt[3]{2 x} - 5 \sqrt[3]{4 x^{2}})$
218481	Factor	(x^2-8x+16)/(3x-12)	$\frac{x^{2} - 8 x + 16}{3 x - 12}$
218482	Find All Complex Solutions	z+4/(z+1)=3	$z + \frac{4}{z + 1} = 3$
218483	Graph	y=(x+4)^2(x+1)	$y = {(x + 4)}^{2} (x + 1)$
218484	Solve for x	5+1/3(6x+9)=-(x-4)	$5 + \frac{1}{3} (6 x + 9) = - (x - 4)$
218485	Solve Over the Interval	sin(2x)=( square root of 2)/2 , 0<=x<2pi	$\sin (2 x) = \frac{\sqrt{2}}{2}$ , $0 \leq x < 2 π$
218486	Solve for y	9x+6y=-3 for y	$9 x + 6 y = - 3$ for $y$
218487	Solve for g	D=2/9(f-g)	$D = \frac{2}{9} (f - g)$
218488	Solve for x	((x-h)^2)/(a^2)-((y-k)^2)/(b^2)=1	$\frac{{(x - h)}^{2}}{a^{2}} - \frac{{(y - k)}^{2}}{b^{2}} = 1$
218489	Simplify	(81^8)^(-1/4)	${(81^{8})}^{- \frac{1}{4}}$
218490	Simplify	((x^2-1)/(x^2+4x-12))÷((x+1)/(x-2))	$\frac{x^{2} - 1}{x^{2} + 4 x - 12} \div \frac{x + 1}{x - 2}$
218491	Solve for x	-6/x-4/7=6/(7x)	$\frac{- 6}{x} - \frac{4}{7} = \frac{6}{7 x}$
218492	Solve for x	2x-(5x-4)=4(-x+1)	$2 x - (5 x - 4) = 4 (- x + 1)$
218493	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (4,-2) and has a slope of -2 ?	What is the equation of the line that passes through the point $(4, - 2)$ and has a slope of $- 2$ ?
218494	Evaluate	i^7i^28i^25*i^19	$i^{7} \cdot i^{28} \cdot i^{25} \cdot i^{19}$
218495	Write the Fraction in Simplest Form	((4qh^-3)^-2)/(12q^8h^8)	$\frac{{(4 q h^{- 3})}^{- 2}}{12 q^{8} h^{8}}$
218496	Find the Remainder	(3x^3+9x^2-14)÷(x^2+x-3)	$(3 x^{3} + 9 x^{2} - 14) \div (x^{2} + x - 3)$
218497	Solve for x	4^x-5=3	$4^{x} - 5 = 3$
218498	Solve for x	9x-6-7x=8-12-2x	$9 x - 6 - 7 x = 8 - 12 - 2 x$
218499	Multiply	( square root of 7x+3)*( square root of 7x-3)	$(\sqrt{7 x} + 3) \cdot (\sqrt{7 x} - 3)$
218500	Find the Domain and Range	f(x)=2+5sin(2x)	$f (x) = 2 + 5 \sin (2 x)$