Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
175401	Graph	y=2x+1 y=x+2	$y = 2 x + 1$ $y = x + 2$
175402	Solve for x	3/(5x)+1/(6x)=2/3	$\frac{3}{5 x} + \frac{1}{6 x} = \frac{2}{3}$
175403	Simplify	(3x^-2y)*(6xy^-3)	$(3 x^{- 2} y) \cdot (6 x y^{- 3})$
175404	Graph	y=\|x^2-2x-3\|	$y = \| x^{2} - 2 x - 3 \|$
175405	Solve for n	3\|n-1\|>9	$3 \| n - 1 \| > 9$
175406	Solve for y	3y-yz=2z	$3 y - y z = 2 z$
175407	Solve the Inequality for h	h-6<=-8.4	$h - 6 \leq - 8.4$
175408	Simplify	((81xz^3)/(36y))÷((27x^2z^2)/(12xy))	$\frac{81 x z^{3}}{36 y} \div \frac{27 x^{2} z^{2}}{12 x y}$
175409	Simplify	1/2(2x)	$\frac{1}{2} (2 x)$
175410	Simplify	(3^-1)÷(3^4)	$3^{- 1} \div 3^{4}$
175411	Solve the System of Inequalities	-2x-4>12 and -2x-4>-14	$- 2 x - 4 > 12$ and $- 2 x - 4 > - 14$
175412	Solve the System of Inequalities	-44>4x-4 and 4x-4<=-24	$- 44 > 4 x - 4$ and $4 x - 4 \leq - 24$
175413	Write in Standard Form	(4x-9)(2x^2+2x+1)	$(4 x - 9) (2 x^{2} + 2 x + 1)$
175414	Simplify	(ab^2)^-4	${(a b^{2})}^{- 4}$
175415	Evaluate	10*5+(4^2)/4	$10 \cdot 5 + \frac{4^{2}}{4}$
175416	Solve for t	2t-2t+2t=8	$2 t - 2 t + 2 t = 8$
175417	Solve the Inequality for x	x^2+1>=0	$x^{2} + 1 \geq 0$
175418	Solve for b	(5^6)/(5^2)=a^b	$\frac{5^{6}}{5^{2}} = a^{b}$
175419	Find the Roots (Zeros)	x^2-8x-8=-2x	$x^{2} - 8 x - 8 = - 2 x$
175420	Solve the System of Inequalities	12x-39<=9 and -4x+3<-6	$12 x - 39 \leq 9$ and $- 4 x + 3 < - 6$
175421	Simplify	(a^3-b^3)^2	${(a^{3} - b^{3})}^{2}$
175422	Write in Standard Form	(3x+5)(2x^2+x+5)	$(3 x + 5) (2 x^{2} + x + 5)$
175423	Find the Degree, Leading Term, and Leading Coefficient	f(x)=(x+1)^2(x-3)^5(x-4)	$f (x) = {(x + 1)}^{2} {(x - 3)}^{5} (x - 4)$
175424	Find the Domain and Range	y=(x-1)/(x^2-4)	$y = \frac{x - 1}{x^{2} - 4}$
175425	Solve for z	3=12/(z^2)	$3 = \frac{12}{z^{2}}$
175426	Find the Quotient	(x^5-1)/(x-1)	$\frac{x^{5} - 1}{x - 1}$
175427	Solve the System of Inequalities	-38>=-5x-3 or -53>=-5x-3	$- 38 \geq - 5 x - 3$ or $- 53 \geq - 5 x - 3$
175428	Solve for x	x+(3x)/(x-10)=2	$x + \frac{3 x}{x - 10} = 2$
175429	Graph	0<=2n+3n	$0 \leq 2 n + 3 n$
175430	Evaluate	2(((9-4)/5)((10-2)/4))+((9)(6))/18+2	$2 ((\frac{9 - 4}{5}) (\frac{10 - 2}{4})) + \frac{(9) (6)}{18} + 2$
175431	Solve for X	2/(3-X)+3/(X+3)=(6X)/(X^2-9)	$\frac{2}{3 - X} + \frac{3}{X + 3} = \frac{6 X}{X^{2} - 9}$
175432	Solve for x	(3(2+x))/(2x)=-1/x+2	$\frac{3 (2 + x)}{2 x} = - \frac{1}{x} + 2$
175433	Solve the Inequality for x	log base 3 of 3x-2<2	$\log_{3} (3 x - 2) < 2$
175434	Solve for G	P=2G+2M for G	$P = 2 G + 2 M$ for $G$
175435	Find the x and y Intercepts	y=2(1/3)^x	$y = 2 {(\frac{1}{3})}^{x}$
175436	Find the Focus	x^2=y	$x^{2} = y$
175437	Find the Inverse	f(x)=4\|2x-1\|	$f (x) = 4 \| 2 x - 1 \|$
175438	Solve for x	1/(x^2)<0.000001	$\frac{1}{x^{2}} < 0.000001$
175439	Solve for θ	sin(2theta)=1	$\sin (2 θ) = 1$
175440	Write in Standard Form	-19+x^2+4x=3x^2+1-x	$- 19 + x^{2} + 4 x = 3 x^{2} + 1 - x$
175441	Evaluate	tan(theta)=-( square root of 3)/3	$\tan (θ) = - \frac{\sqrt{3}}{3}$
175442	Solve Using the Quadratic Formula	9(2x-1)^2-8=0	$9 {(2 x - 1)}^{2} - 8 = 0$
175443	Find the Roots (Zeros)	(x- square root of 3)^2(x- square root of 7)	${(x - \sqrt{3})}^{2} (x - \sqrt{7})$
175444	Find a,b,c	(x-1)^2+3=2x+1	${(x - 1)}^{2} + 3 = 2 x + 1$
175445	Solve for a	g=4ca-3ba ; for a	$g = 4 c a - 3 b a$ ; for $a$
175446	Solve the System of Inequalities	-6x+14<-28 ; OR , 9x+15<=-12	$- 6 x + 14 < - 28$ ; OR , $9 x + 15 \leq - 12$
175447	Solve for x	log base 7 of 9x-2 log base 7 of 7=0	$\log_{7} (9 x) - 2 \log_{7} (7) = 0$
175448	Solve the Inequality for x	\|x\|>=3	$\| x \| \geq 3$
175449	Simplify the Radical Expression	eighth root of x^2y^6	$\sqrt[8]{x^{2} y^{6}}$
175450	Write in Standard Form	-6-5x^2+13x=5x+5	$- 6 - 5 x^{2} + 13 x = 5 x + 5$
175451	Simplify	(x^3-1)/(1-x^3)	$\frac{x^{3} - 1}{1 - x^{3}}$
175452	Find the Midpoint	(9,6) and (5,2)	$(9, 6)$ and $(5, 2)$
175453	Convert to a Decimal	36deg	$36$ degrees
175454	Solve for x	-4x-14-9x=-13x-7-6	$- 4 x - 14 - 9 x = - 13 x - 7 - 6$
175455	Convert to Radical Form	1/(3x^(-5/2))	$\frac{1}{3 x^{- \frac{5}{2}}}$
175456	Solve for z	z-2/3=1/8	$z - \frac{2}{3} = \frac{1}{8}$
175457	Find the Exact Value	tan(arcsin(-( square root of 3)/2))	$\tan (\arcsin (- \frac{\sqrt{3}}{2}))$
175458	Solve for a	6(2/3a-4)-8(3+1/2a)=-a	$6 (\frac{2}{3} a - 4) - 8 (3 + \frac{1}{2} a) = - a$
175459	Solve the Inequality for x	-4(2x+1)<=3(x-5)	$- 4 (2 x + 1) \leq 3 (x - 5)$
175460	Write in Slope-Intercept Form	y-1=-1/3(x-6)	$y - 1 = - \frac{1}{3} (x - 6)$
175461	Evaluate	(2^-4*z^-3)^5	${(2^{- 4} \cdot z^{- 3})}^{5}$
175462	Solve for m	5^m*(5^-7)^m=5^12	$5^{m} \cdot {(5^{- 7})}^{m} = 5^{12}$
175463	Solve the System of Equations	4x+2y=8 and 4x-y=-1	$4 x + 2 y = 8$ and $4 x - y = - 1$
175464	Solve for x	(2pi)/x=3pi	$\frac{2 π}{x} = 3 π$
175465	Find the Midpoint	(-1,9) and (-7,1)	$(- 1, 9)$ and $(- 7, 1)$
175466	Write in Standard Form	-5+2x^2=-7x+x^2-4	$- 5 + 2 x^{2} = - 7 x + x^{2} - 4$
175467	Write in Standard Form	-3x-17=x^2-2	$- 3 x - 17 = x^{2} - 2$
175468	Simplify	14cd-2c^2d^2+15cd+5c^2d^2-15cd	$14 c d - 2 c^{2} d^{2} + 15 c d + 5 c^{2} d^{2} - 15 c d$
175469	Simplify	(9a^3b^4c)^2(2a^2b^3)^3(ac)	${(9 a^{3} b^{4} c)}^{2} \cdot {(2 a^{2} b^{3})}^{3} \cdot (a c)$
175470	Solve for a	( cube root of x^5)/((x^(1/3))^5)=x^a	$\frac{\sqrt[3]{x^{5}}}{{(x^{\frac{1}{3}})}^{5}} = x^{a}$
175471	Simplify	(5x^3+4x^2+6x-3)+(-2x^3+3x^2-7x+9)-(5x+3)(4x^2+x-1)	$(5 x^{3} + 4 x^{2} + 6 x - 3) + (- 2 x^{3} + 3 x^{2} - 7 x + 9) - (5 x + 3) (4 x^{2} + x - 1)$
175472	Solve for x	3/10=x/2	$\frac{3}{10} = \frac{x}{2}$
175473	Solve the Inequality for m	m^2-7m<=10	$m^{2} - 7 m \leq 10$
175474	Solve for x	2x+3=1/2(4x+2)+2	$2 x + 3 = \frac{1}{2} (4 x + 2) + 2$
175475	Simplify	(6x^2)/(2xy)-(8z)/(xz)	$\frac{6 x^{2}}{2 x y} - \frac{8 z}{x z}$
175476	Evaluate	(12(30-(9+4^2)))/(\|10\|-\|-6\|)	$\frac{12 (30 - (9 + 4^{2}))}{\| 10 \| - \| - 6 \|}$
175477	Graph Using a Table of Values	y=5(2)^x	$y = 5 {(2)}^{x}$
175478	Simplify	(-3(j^-3a^4)^-3)/(3j^4a^8)	$\frac{- 3 {(j^{- 3} a^{4})}^{- 3}}{3 j^{4} a^{8}}$
175479	Solve for x	3/4x+5-1/2x=3	$\frac{3}{4} x + 5 - \frac{1}{2} x = 3$
175480	Solve for y	4\|2y-7\|+13=9	$4 \| 2 y - 7 \| + 13 = 9$
175481	Simplify	(2x^2-7x-15)/(x^2-25)*(x^2+x)/(2x^2+5x+3)	$\frac{2 x^{2} - 7 x - 15}{x^{2} - 25} \cdot \frac{x^{2} + x}{2 x^{2} + 5 x + 3}$
175482	Graph	15>=q+3	$15 \geq q + 3$
175483	Solve Using the Quadratic Formula	3y^2+y=-1/12	$3 y^{2} + y = - \frac{1}{12}$
175484	Solve the System of Inequalities	12x+7<-11 ; OR , 5x-8>40	$12 x + 7 < - 11$ ; OR , $5 x - 8 > 40$
175485	Solve for m	9>=-2m+2-3	$9 \geq - 2 m + 2 - 3$
175486	Graph	y = cube root of -x-1	$y = \sqrt[3]{- x - 1}$
175487	Solve the System of Inequalities	-11>2x+9 or 25>2x+9	$- 11 > 2 x + 9$ or $25 > 2 x + 9$
175488	Rationalize the Denominator	( square root of 2+ square root of 3)/( square root of 6)	$\frac{\sqrt{2} + \sqrt{3}}{\sqrt{6}}$
175489	Solve for s	76s+3s-71s-5s-1=29	$76 s + 3 s - 71 s - 5 s - 1 = 29$
175490	Simplify	cos(theta)^2*sec(theta)^2	$\cos^{2} (θ) \cdot \sec^{2} (θ)$
175491	Factor	(x-3)(x-4)+(x-3)(x+4)	$(x - 3) (x - 4) + (x - 3) (x + 4)$
175492	Find the Equation Using Point-Slope Formula	(-8,6) , slope=1/4	$(- 8, 6)$ , $s l o p e = \frac{1}{4}$
175493	Solve for c	2(5c-7)>=10(c-3)	$2 (5 c - 7) \geq 10 (c - 3)$
175494	Solve the Inequality for x	-4(x+7)<3(x-2)	$- 4 (x + 7) < 3 (x - 2)$
175495	Solve the System of Equations	x+3y-z=2 x+y-z=0 3x+2y-3z=-1	$x + 3 y - z = 2$ $x + y - z = 0$ $3 x + 2 y - 3 z = - 1$
175496	Evaluate	4/3(3.14)(3)^3	$\frac{4}{3} (3.14) {(3)}^{3}$
175497	Solve for b	-4/7b+1/4=1/3b+1/2	$- \frac{4}{7} b + \frac{1}{4} = \frac{1}{3} b + \frac{1}{2}$
175498	Solve for x	2 1/2x-3/4(2x+5)=3/8	$2 \frac{1}{2} x - \frac{3}{4} (2 x + 5) = \frac{3}{8}$
175499	Find the Exact Value	sin(-22.5 degrees )	$\sin (- 22.5 °)$
175500	Evaluate	4m-2+(-8m)	$4 m - 2 + (- 8 m)$