Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
160401	Solve for θ	cos(3theta)=-1	$\cos (3 θ) = - 1$
160402	Find the x and y Intercepts	2x+3y	$2 x + 3 y$
160403	Solve for a	7ax+4ay-5=3ax	$7 a x + 4 a y - 5 = 3 a x$
160404	Solve for x	-(x^2+x-8)/((x-3)(x+5))=x/(x-3)	$- \frac{x^{2} + x - 8}{(x - 3) (x + 5)} = \frac{x}{x - 3}$
160405	Simplify	(2x^3-32x)/(2(x^2-4x))	$\frac{2 x^{3} - 32 x}{2 (x^{2} - 4 x)}$
160406	Solve for w	4pi=w-6pi	$4 π = w - 6 π$
160407	Simplify	7i*3i(-8-6i)	$7 i \cdot 3 i (- 8 - 6 i)$
160408	Solve the Inequality for x	1/x<4	$\frac{1}{x} < 4$
160409	Solve for f	q=-j+f	$q = - j + f$
160410	Solve for b	a=1/2(a+b)h	$a = \frac{1}{2} (a + b) h$
160411	Find the Product	3x^5(2x^2+4x+1)	$3 x^{5} (2 x^{2} + 4 x + 1)$
160412	Solve the System of Inequalities	-12<1/2(4x+16)<18	$- 12 < \frac{1}{2} (4 x + 16) < 18$
160413	Graph	f(x)=1+x^2 if x<1; 2x+3 if x>=1	$f (x) = {\begin{cases} 1 + x^{2} & x < 1 \\ 2 x + 3 & x \geq 1 \end{cases}$
160414	Solve for X	5X^2-4X=6	$5 X^{2} - 4 X = 6$
160415	Solve for x	(x^2-1)/(x-1)=-2	$\frac{x^{2} - 1}{x - 1} = - 2$
160416	Graph	x-3y=-12 and 4x+6y=-12	$x - 3 y = - 12$ and $4 x + 6 y = - 12$
160417	Solve for x	-3x+7x-8=34+9x-2	$- 3 x + 7 x - 8 = 34 + 9 x - 2$
160418	Simplify	((z^4)/(6^2))^-3	${(\frac{z^{4}}{6^{2}})}^{- 3}$
160419	Solve for d	3pid=12pi	$3 π d = 12 π$
160420	Solve for x	3kx+24=9kx	$3 k x + 24 = 9 k x$
160421	Solve the System of Inequalities	5x-19<=1 OR -4x+3<-6	$5 x - 19 \leq 1$ OR $- 4 x + 3 < - 6$
160422	Find the Holes in the Graph	y=(x^2+3x-4)/(x^2-1)	$y = \frac{x^{2} + 3 x - 4}{x^{2} - 1}$
160423	Solve for x	15-2(3-2x)=46	$15 - 2 (3 - 2 x) = 46$
160424	Solve for x	square root of x+2 = square root of x+10	$\sqrt{x} + 2 = \sqrt{x + 10}$
160425	Solve for x	12x+1=3(4x+1)-2	$12 x + 1 = 3 (4 x + 1) - 2$
160426	Solve for h	S=2pirh+2pir^2 for h	$S = 2 π r h + 2 π r^{2}$ for $h$
160427	Find the Holes in the Graph	f(x)=(5x-10)/(x^2-3x+2)	$f (x) = \frac{5 x - 10}{x^{2} - 3 x + 2}$
160428	Solve for x	\|2x+3\|=x	$\| 2 x + 3 \| = x$
160429	Find the Roots (Zeros)	p(x)=(x^2-9)(x^2+x-2)	$p (x) = (x^{2} - 9) (x^{2} + x - 2)$
160430	Graph	sin(theta)>0 , cos(theta)<0	$\sin (θ) > 0$ , $\cos (θ) < 0$
160431	Solve Using the Quadratic Formula	7(2e-1)-3=6+6e	$7 (2 e - 1) - 3 = 6 + 6 e$
160432	Solve for c	x=b-cd	$x = b - c d$
160433	Find the Product	(x-3)(x^2+3x+9)	$(x - 3) (x^{2} + 3 x + 9)$
160434	Find the Function	f(x)=x^2-3x	$f (x) = x^{2} - 3 x$
160435	Simplify	(27 cube root of z^2)^(1/3)	${(27 \sqrt[3]{z^{2}})}^{\frac{1}{3}}$
160436	Simplify	m^19n^19(1/m)^30(1/n)^30	$m^{19} n^{19} {(\frac{1}{m})}^{30} {(\frac{1}{n})}^{30}$
160437	Solve for r	(r^2+5r+6)/(r+3)=1	$\frac{r^{2} + 5 r + 6}{r + 3} = 1$
160438	Solve the Inequality for x	3/(x-2)<1/x	$\frac{3}{x - 2} < \frac{1}{x}$
160439	Find the Product	(x+4)(x+4)	$(x + 4) (x + 4)$
160440	Find the Perfect Square Trinomial	a^2+2ab+b^2	$a^{2} + 2 a b + b^{2}$
160441	Evaluate	(f(a+h)-f(a))/h	$\frac{f (a + h) - f (a)}{h}$
160442	Solve for x	5kx+6=7kx	$5 k x + 6 = 7 k x$
160443	Solve for x	d=f+fx	$d = f + f x$
160444	Evaluate	cos(x)^2-sin(x)^2	$\cos^{2} (x) - \sin^{2} (x)$
160445	Solve for d	8=fd	$8 = f d$
160446	Graph	y-3=1/2(x+2)	$y - 3 = \frac{1}{2} (x + 2)$
160447	Solve the Inequality for x	x^2<=16	$x^{2} \leq 16$
160448	Find the LCD	2/x-(x+1)/5	$\frac{2}{x} - \frac{x + 1}{5}$
160449	Solve for x	-118=-5(4+7x)+7	$- 118 = - 5 (4 + 7 x) + 7$
160450	Solve for x	((x-3)(x+4))/(x-3)=0	$\frac{(x - 3) (x + 4)}{x - 3} = 0$
160451	Solve for x	4/(5x+7)=5/(x-1)	$\frac{4}{5 x + 7} = \frac{5}{x - 1}$
160452	Simplify	(9a^3b^5)/(-3ab^2)	$\frac{9 a^{3} b^{5}}{- 3 a b^{2}}$
160453	Solve Using the Quadratic Formula	(2x^2)/5+(5x)/4=10	$\frac{2 x^{2}}{5} + \frac{5 x}{4} = 10$
160454	Solve the Absolute Value Inequality for r	-2\|-2r-4\|=-12	$- 2 \| - 2 r - 4 \| = - 12$
160455	Solve for x	2/(x^2-1)-1/(x-1)=1/2	$\frac{2}{x^{2} - 1} - \frac{1}{x - 1} = \frac{1}{2}$
160456	Solve for n	(x^3)^3=x^n	${(x^{3})}^{3} = x^{n}$
160457	Solve for a	2n=a(d+g)	$2 n = a (d + g)$
160458	Describe the Transformation	f(x)=-x^2	$f (x) = - x^{2}$
160459	Solve for x	-4x+10>=5x+55	$- 4 x + 10 \geq 5 x + 55$
160460	Write in Slope-Intercept Form	(1,-2) , (3,3)	$(1, - 2)$ , $(3, 3)$
160461	Simplify	(5x^4-4x^3-2x^2+x-19)-(x^4+5x^3+8x^2+x+5)	$(5 x^{4} - 4 x^{3} - 2 x^{2} + x - 19) - (x^{4} + 5 x^{3} + 8 x^{2} + x + 5)$
160462	Find the Exact Value	sin(285 degrees )	$\sin (285 °)$
160463	Simplify	(x^2+x-20)/(x^2-25)	$\frac{x^{2} + x - 20}{x^{2} - 25}$
160464	Solve the Inequality for n	6-4(6n+7)>=122	$6 - 4 (6 n + 7) \geq 122$
160465	Solve for x	-2^x+3=-3^(-x)-2	$- 2^{x} + 3 = - 3^{- x} - 2$
160466	Solve the Inequality for x	4(x+3)-7>=x+3(x+1)	$4 (x + 3) - 7 \geq x + 3 (x + 1)$
160467	Find the Exact Value	tan(arccos(x))	$\tan (\arccos (x))$
160468	Solve the Inequality for x	0>3x-3-6	$0 > 3 x - 3 - 6$
160469	Factor	ax+bx	$a x + b x$
160470	Evaluate	20÷(4-(10-8))	$20 \div (4 - (10 - 8))$
160471	Simplify	(1/x-1)/(x-1)	$\frac{\frac{1}{x} - 1}{x - 1}$
160472	Solve for x	4x+16-x=22+6	$4 x + 16 - x = 22 + 6$
160473	Solve for x	cube root of 9x-17 = cube root of 4x+13	$\sqrt[3]{9 x - 17} = \sqrt[3]{4 x + 13}$
160474	Solve for z	39=3/11z+18	$39 = \frac{3}{11} z + 18$
160475	Simplify	((125^2)/(125^(4/3)))	$(\frac{125^{2}}{125^{\frac{4}{3}}})$
160476	Solve for x	5^(-x)+7=2x+4	$5^{- x} + 7 = 2 x + 4$
160477	Find the x and y Intercepts	P(x)=1/9x^4-4/9x^3	$P (x) = \frac{1}{9} x^{4} - \frac{4}{9} x^{3}$
160478	Solve for x	g=(x-c)/x	$g = \frac{x - c}{x}$
160479	Simplify	2/(x-2)+x/(x+9)-(x+20)/(x^2+7x-18)	$\frac{2}{x - 2} + \frac{x}{x + 9} - \frac{x + 20}{x^{2} + 7 x - 18}$
160480	Solve for b	31=22-3/10b	$31 = 22 - \frac{3}{10} b$
160481	Solve for x	5+ log base 2 of -5x=9	$5 + \log_{2} (- 5 x) = 9$
160482	Subtract	(-x^2+2x)-(x^2-2x)	$(- x^{2} + 2 x) - (x^{2} - 2 x)$
160483	Find the Holes in the Graph	f(x)=(x^3+4x^2+x-6)/(x^2+5x+6)	$f (x) = \frac{x^{3} + 4 x^{2} + x - 6}{x^{2} + 5 x + 6}$
160484	Solve for c	a=b/c	$a = \frac{b}{c}$
160485	Simplify	(-46+54i)/(-5-7i)	$\frac{- 46 + 54 i}{- 5 - 7 i}$
160486	Solve for a	69=13-7/12a	$69 = 13 - \frac{7}{12} a$
160487	Find the Exact Value	fourth root of -81	$\sqrt[4]{- 81}$
160488	Find f(g(x))	f(x)=x+3 , g(x)=2x^2-5x-3	$f (x) = x + 3$ , $g (x) = 2 x^{2} - 5 x - 3$
160489	Solve for θ	tan(theta)+ square root of 3=0	$\tan (θ) + \sqrt{3} = 0$
160490	Find the Exact Value	sin(195 degrees )	$\sin (195 °)$
160491	Graph Using a Table of Values	y=(1/5)^x	$y = {(\frac{1}{5})}^{x}$
160492	Evaluate	(1/x)^2	${(\frac{1}{x})}^{2}$
160493	Simplify	25-( square root of 16-1)*(3-9)^2	$25 - (\sqrt{16} - 1) \cdot {(3 - 9)}^{2}$
160494	Find the Holes in the Graph	f(x)=(x-1)/(x^2-4x+3)	$f (x) = \frac{x - 1}{x^{2} - 4 x + 3}$
160495	Simplify	(-66+27i)/(-6-3i)	$\frac{- 66 + 27 i}{- 6 - 3 i}$
160496	Solve for A	d-4h=3QA	$d - 4 h = 3 Q A$
160497	Simplify	(15(x^-2)^3)/(3(x^-4)^-3)	$\frac{15 {(x^{- 2})}^{3}}{3 {(x^{- 4})}^{- 3}}$
160498	Solve for x	13=11-4x	$13 = 11 - 4 x$
160499	Solve the Inequality for w	9+w>7	$9 + w > 7$
160500	Solve for x	10=3/5(x+5)	$10 = \frac{3}{5} (x + 5)$