Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
160701	Find the Holes in the Graph	f(x)=(4x+16)/(x^2+x-12)	$f (x) = \frac{4 x + 16}{x^{2} + x - 12}$
160702	Simplify	((2x^3-12x^2+16x)/(x^2+3x-28))÷((4x^2-36x+56)/(2x^2-98))	$\frac{2 x^{3} - 12 x^{2} + 16 x}{x^{2} + 3 x - 28} \div \frac{4 x^{2} - 36 x + 56}{2 x^{2} - 98}$
160703	Solve for p	3/5p+1/5(40-p)=0	$\frac{3}{5} p + \frac{1}{5} (40 - p) = 0$
160704	Find the Function	f(x)=a^x	$f (x) = a^{x}$
160705	Solve for n	2^(3n)=4	$2^{3 n} = 4$
160706	Solve for x	(4x+2)/(x-9)=3/5	$\frac{4 x + 2}{x - 9} = \frac{3}{5}$
160707	Solve for x	3/(x-5)-20/(x^2-25)=2/(x+5)	$\frac{3}{x - 5} - \frac{20}{x^{2} - 25} = \frac{2}{x + 5}$
160708	Solve for b	-5+9/10b=58	$- 5 + \frac{9}{10} b = 58$
160709	Solve the Inequality for l	6(l+3)<3(2l+6)	$6 (l + 3) < 3 (2 l + 6)$
160710	Simplify	((x+2)/(x^2+2x-3))/((x+2)/(x^2-x))	$\frac{\frac{x + 2}{x^{2} + 2 x - 3}}{\frac{x + 2}{x^{2} - x}}$
160711	Solve for b	C^2=a^2+b^2	$C^{2} = a^{2} + b^{2}$
160712	Find the Degree, Leading Term, and Leading Coefficient	f(x)=2x^5-3x^4+x-6	$f (x) = 2 x^{5} - 3 x^{4} + x - 6$
160713	Solve for C	P=2C+2D	$P = 2 C + 2 D$
160714	Divide	(5x^4+9)/x	$\frac{5 x^{4} + 9}{x}$
160715	Subtract	5/(2x^2+5x-3)-3/(2x^2-11x+5)	$\frac{5}{2 x^{2} + 5 x - 3} - \frac{3}{2 x^{2} - 11 x + 5}$
160716	Write in Standard Form	y=(x-4)^2	$y = {(x - 4)}^{2}$
160717	Solve the System of Inequalities	-15x+4<=109 or -6x+70>-2	$- 15 x + 4 \leq 109$ or $- 6 x + 70 > - 2$
160718	Simplify	9x^0y^-3	$9 x^{0} y^{- 3}$
160719	Solve for f	f/r=4h-n	$\frac{f}{r} = 4 h - n$
160720	Solve for b	8=b/D	$8 = \frac{b}{D}$
160721	Evaluate	(-1+1)^2	${(- 1 + 1)}^{2}$
160722	Factor	36x^3yz-72x^2z^2+54x^2yz^3	$36 x^{3} y z - 72 x^{2} z^{2} + 54 x^{2} y z^{3}$
160723	Simplify	(6y^2+5y^4)^2	${(6 y^{2} + 5 y^{4})}^{2}$
160724	Solve for F	j=gF	$j = g F$
160725	Solve the Inequality for t	-48t+2<=-71t+14	$- 48 t + 2 \leq - 71 t + 14$
160726	Solve the Inequality for x	x^2-6x+9>0	$x^{2} - 6 x + 9 > 0$
160727	Solve the System of Inequalities	-14>w+3 or 3w>=-27	$- 14 > w + 3$ or $3 w \geq - 27$
160728	Solve for b	2+1/6b=13	$2 + \frac{1}{6} b = 13$
160729	Solve for S	N=S*(P-V)-F	$N = S \cdot (P - V) - F$
160730	Solve the Inequality for X	(X^2+4)(x+3)(x-5)<=0	$(X^{2} + 4) (x + 3) (x - 5) \leq 0$
160731	Solve the Inequality for x	4x<=12	$4 x \leq 12$
160732	Simplify	x square root of x^5	$x \sqrt{x^{5}}$
160733	Solve for x	9=1/4(6x+12)	$9 = \frac{1}{4} (6 x + 12)$
160734	Solve for j	q=j/n	$q = \frac{j}{n}$
160735	Find the x and y Intercepts	f(x)=(x-3)/(2x+7)	$f (x) = \frac{x - 3}{2 x + 7}$
160736	Evaluate	(pi/2)÷4	$\frac{π}{2} \div 4$
160737	Solve for r	V=(pir^2h)/3	$V = \frac{π r^{2} h}{3}$
160738	Solve for d	f=5Rd	$f = 5 R d$
160739	Solve for h	-h/3-4=13	$- \frac{h}{3} - 4 = 13$
160740	Solve the Inequality for x	(x+8)(x-3)^2(x-7)^3<0	$(x + 8) {(x - 3)}^{2} {(x - 7)}^{3} < 0$
160741	Solve for u	12u-9u-5u+13=-5	$12 u - 9 u - 5 u + 13 = - 5$
160742	Find the Function	f(x)=5x^2+x-2	$f (x) = 5 x^{2} + x - 2$
160743	Simplify	(x^5+x^3)-(6x-x^3+6x^5)	$(x^{5} + x^{3}) - (6 x - x^{3} + 6 x^{5})$
160744	Solve for A	t=A/(4b-D)	$t = \frac{A}{4 b - D}$
160745	Solve for B	B/(5H)=F+G	$\frac{B}{5 H} = F + G$
160746	Simplify	(1/2y^2)^3(2/3y)^2	${(\frac{1}{2} y^{2})}^{3} {(\frac{2}{3} y)}^{2}$
160747	Solve the Inequality for d	-23d+81<=-98d+1	$- 23 d + 81 \leq - 98 d + 1$
160748	Graph Using a Table of Values	f(x)=2	$f (x) = 2$
160749	Solve for l	A=l^2	$A = l^{2}$
160750	Find the Exact Value	arctan(cos(pi))	$\arctan (\cos (π))$
160751	Simplify	(x-4)(3x^2+x-5)	$(x - 4) (3 x^{2} + x - 5)$
160752	Factor	a(n+2)+n+2	$a (n + 2) + n + 2$
160753	Solve the Rational Equation for x	(5x)/6+1/3=7/12	$\frac{5 x}{6} + \frac{1}{3} = \frac{7}{12}$
160754	Find the Holes in the Graph	f(x)=(3x+11)/(4x-15)	$f (x) = \frac{3 x + 11}{4 x - 15}$
160755	Multiply	1/x*x	$\frac{1}{x} \cdot x$
160756	Solve for a	-7/8a+13=97	$- \frac{7}{8} a + 13 = 97$
160757	Solve for b	24=8+8/11b	$24 = 8 + \frac{8}{11} b$
160758	Solve the Inequality for x	(x-2)/(x^2-3x-10)<0	$\frac{x - 2}{x^{2} - 3 x - 10} < 0$
160759	Solve for θ	2sin(theta)^2-1=0	$2 \sin^{2} (θ) - 1 = 0$
160760	Solve the System of Inequalities	3x-8<=23 AND -4x+26>=6	$3 x - 8 \leq 23$ AND $- 4 x + 26 \geq 6$
160761	Solve the Inequality for d	-38d-57>=-19d+76	$- 38 d - 57 \geq - 19 d + 76$
160762	Factor	8x^3+12x^2+6x+1	$8 x^{3} + 12 x^{2} + 6 x + 1$
160763	Simplify	(2x)/2+x/3	$\frac{2 x}{2} + \frac{x}{3}$
160764	Find the Roots (Zeros)	p(x)=(2x^2-9x+7)(x-2)	$p (x) = (2 x^{2} - 9 x + 7) (x - 2)$
160765	Graph Using a Table of Values	f(x)=3	$f (x) = 3$
160766	Solve for a	f-n=qa	$f - n = q a$
160767	Simplify	(x^2+3x-4)/(3x^2-48)*(x^3-49x)/(x^2+6x-7)	$\frac{x^{2} + 3 x - 4}{3 x^{2} - 48} \cdot \frac{x^{3} - 49 x}{x^{2} + 6 x - 7}$
160768	Graph Using a Table of Values	f(x)=2^(x+1)	$f (x) = 2^{x + 1}$
160769	Find the x and y Intercepts	(x+1)(x+2)=y	$(x + 1) (x + 2) = y$
160770	Solve for h	4=hn	$4 = h n$
160771	Simplify	(4+((2-5)^2-4(7-5)^3+2(15/3)))- square root of 16	$(4 + ({(2 - 5)}^{2} - 4 {(7 - 5)}^{3} + 2 (\frac{15}{3}))) - \sqrt{16}$
160772	Graph	F(x) = square root of 5-x	$F (x) = \sqrt{5 - x}$
160773	Solve the Inequality for p	-31p+79>-59p+81	$- 31 p + 79 > - 59 p + 81$
160774	Solve for f	6f=M	$6 f = M$
160775	Solve for b	5d+g=b/N	$5 d + g = \frac{b}{N}$
160776	Graph	f(x)=1/2 square root of x	$f (x) = \frac{1}{2} \sqrt{x}$
160777	Solve the System of Inequalities	-2x+3y>=1 -5x+6y<=1	$- 2 x + 3 y \geq 1$ $- 5 x + 6 y \leq 1$
160778	Solve the Inequality for x	(x-5)/((x+1)(x-3))<=0	$\frac{x - 5}{(x + 1) (x - 3)} \leq 0$
160779	Convert to a Decimal	5rad	$5$ radians
160780	Solve the Inequality for a	60a+64>=80a-92	$60 a + 64 \geq 80 a - 92$
160781	Evaluate	(e^x)^2	${(e^{x})}^{2}$
160782	Graph	2x-3y=-2 and 4x+y=24	$2 x - 3 y = - 2$ and $4 x + y = 24$
160783	Solve the Inequality for x	2x-11<5x+7<=2x-2	$2 x - 11 < 5 x + 7 \leq 2 x - 2$
160784	Solve for x	70*2^(3x)=35	$70 \cdot 2^{3 x} = 35$
160785	Solve the Inequality for h	6h-6+2h<2(4h-3)	$6 h - 6 + 2 h < 2 (4 h - 3)$
160786	Simplify	(4+10i)/(3+i)	$\frac{4 + 10 i}{3 + i}$
160787	Solve for x	(x-6)/4=(x-5)/9	$\frac{x - 6}{4} = \frac{x - 5}{9}$
160788	Solve for a	m=a/(f-5h^2)	$m = \frac{a}{f - 5 h^{2}}$
160789	Solve Using the Quadratic Formula	2x+1	$2 x + 1$
160790	Solve for b	50=-1/3b+20	$50 = - \frac{1}{3} b + 20$
160791	Describe the Transformation	f(x)=3/(5x)	$f (x) = \frac{3}{5 x}$
160792	Find the x and y Intercepts	(x-1)(x-3)=y	$(x - 1) (x - 3) = y$
160793	Divide	(3x^2-2x^3-1)/(x+2)	$\frac{3 x^{2} - 2 x^{3} - 1}{x + 2}$
160794	Multiply	2x(x)	$2 x (x)$
160795	Solve for x	(1/2)^(4x+1)=8^(2x+1)	${(\frac{1}{2})}^{4 x + 1} = 8^{2 x + 1}$
160796	Write in Exponential Form	( square root of x)^5	${(\sqrt{x})}^{5}$
160797	Evaluate	-e^negative infinity	$- e^{- \infty}$
160798	Solve for b	fb=q	$f b = q$
160799	Solve for x	4/9(3/8x-27/16)=13/4	$\frac{4}{9} (\frac{3}{8} x - \frac{27}{16}) = \frac{13}{4}$
160800	Find the x and y Intercepts	f(x)=x^4+2x^3+x^2	$f (x) = x^{4} + 2 x^{3} + x^{2}$