Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
180701	Multiply	2*(-5/2)	$2 \cdot (- \frac{5}{2})$
180702	Find the Function	f(x)=x^2+8	$f (x) = x^{2} + 8$
180703	Simplify	(3 square root of 2)/( square root of 6)	$\frac{3 \sqrt{2}}{\sqrt{6}}$
180704	Evaluate Using the Given Value	y÷2+x ; use x=1 ; and y=2	$y \div 2 + x$ ; use $x = 1$ ; and $y = 2$
180705	Solve for x	x=-x^2+30	$x = - x^{2} + 30$
180706	Find All Complex Solutions	2sin(2x)- square root of 2=0	$2 \sin (2 x) - \sqrt{2} = 0$
180707	Evaluate	(-3^-3)/(6^-2)	$\frac{(- 3^{- 3})}{6^{- 2}}$
180708	Find the First Term	a_n=3n-5	$a_{n} = 3 n - 5$
180709	Factor	-x^5+36x^3-22x^2-147x-90	$- x^{5} + 36 x^{3} - 22 x^{2} - 147 x - 90$
180710	Solve for p	p^2-4p+4=0	$p^{2} - 4 p + 4 = 0$
180711	Graph	(3,-9)	$(3, - 9)$
180712	Solve the Inequality for x	x(x-6)<=0	$x (x - 6) \leq 0$
180713	Graph	f(x)=x if x<2; 2 if x>=2	$f (x) = {\begin{cases} x & x < 2 \\ 2 & x \geq 2 \end{cases}$
180714	Solve the Inequality for x	-5x>=15	$- 5 x \geq 15$
180715	Graph	f''''(x)>0	$f'' (x) > 0$
180716	Simplify	6xi^3(-4xi+5)	$6 x i^{3} (- 4 x i + 5)$
180717	Simplify	(3x)/(x+2)+x/(x+4)	$\frac{3 x}{x + 2} + \frac{x}{x + 4}$
180718	Simplify	sec(theta)^2-tan(theta)^2+cot(theta)^2	$\sec^{2} (θ) - \tan^{2} (θ) + \cot^{2} (θ)$
180719	Solve the Inequality for x	3x-2>7	$3 x - 2 > 7$
180720	Solve the Absolute Value Inequality for y	-2\|7-3y\|-6=-14	$- 2 \| 7 - 3 y \| - 6 = - 14$
180721	Solve for n	3/5=3/(5n)-1/5	$\frac{3}{5} = \frac{3}{5 n} - \frac{1}{5}$
180722	Find the x and y Intercepts	f(x)=4 square root of 2x-1+3	$f (x) = 4 \sqrt{2 x - 1} + 3$
180723	Find the Perfect Square Trinomial	4x^2+20x+25	$4 x^{2} + 20 x + 25$
180724	Divide	((2x-3)/(5x^2))÷((x-5)/(3x-1))	$\frac{2 x - 3}{5 x^{2}} \div \frac{x - 5}{3 x - 1}$
180725	Simplify	((2x-3)/(5x^2))÷((x-5)/(3x-1))	$\frac{2 x - 3}{5 x^{2}} \div \frac{x - 5}{3 x - 1}$
180726	Evaluate	(r/s)(3)	$(\frac{r}{s}) (3)$
180727	Evaluate	2(-3/4)	$2 (- \frac{3}{4})$
180728	Solve the Inequality for a	5(a-5)>25	$5 (a - 5) > 25$
180729	Graph Using a Table of Values	y=-x^2+2x+3	$y = - x^{2} + 2 x + 3$
180730	Graph	g(x)=f(x+2)-3	$g (x) = f (x + 2) - 3$
180731	Simplify	(3m)/(m+n)+(3n)/(m+n)	$\frac{3 m}{m + n} + \frac{3 n}{m + n}$
180732	Find the Inverse	f(x)=3x^(-5/2)	$f (x) = 3 x^{- \frac{5}{2}}$
180733	Evaluate	-csc(pi/6)^2	$- \csc^{2} (\frac{π}{6})$
180734	Solve for a	x^3x^(6/5)=x^a	$x^{3} x^{\frac{6}{5}} = x^{a}$
180735	Solve for a	P=a+b+c for a	$P = a + b + c$ for $a$
180736	Evaluate	-4q-(-8q)+10	$- 4 q - (- 8 q) + 10$
180737	Graph	f(x)=- square root of 5x+2-1	$f (x) = - \sqrt{5 x + 2} - 1$
180738	Solve for y	4y-12b=3c+2y	$4 y - 12 b = 3 c + 2 y$
180739	Solve for x	6x-10-8=9+4x-4x	$6 x - 10 - 8 = 9 + 4 x - 4 x$
180740	Find the LCM	4 and 5	$4$ and $5$
180741	Subtract	4 7/9-3/15	$4 \frac{7}{9} - \frac{3}{15}$
180742	Find the Midpoint	(2,9) and (9,4)	$(2, 9)$ and $(9, 4)$
180743	Divide	-24x^4+39x^3-18x^2+21x-18 by 3x-3	$- 24 x^{4} + 39 x^{3} - 18 x^{2} + 21 x - 18$ by $3 x - 3$
180744	Factor	x^4+3x^3-2x^2-12x-8	$x^{4} + 3 x^{3} - 2 x^{2} - 12 x - 8$
180745	Solve for x	16-x^2=0	$16 - x^{2} = 0$
180746	Solve the Inequality for x	x(2-3x)<=0	$x (2 - 3 x) \leq 0$
180747	Solve for x	25x^2+4=20x	$25 x^{2} + 4 = 20 x$
180748	Find All Complex Solutions	cos(2x)=sin(x)	$\cos (2 x) = \sin (x)$
180749	Find the Product	(x^2+4)(x^2-4)	$(x^{2} + 4) (x^{2} - 4)$
180750	Write in Exponential Form	(9^-3)(9^12)	$(9^{- 3}) (9^{12})$
180751	Solve for v	-57=-6(4+5v)-3	$- 57 = - 6 (4 + 5 v) - 3$
180752	Evaluate	2(4/5)^2-1	$2 {(\frac{4}{5})}^{2} - 1$
180753	Evaluate	-5+(-3)^2+2	$- 5 + {(- 3)}^{2} + 2$
180754	Graph Using a Table of Values	y=3-x^2	$y = 3 - x^{2}$
180755	Find the Holes in the Graph	(4x^2-16)/(5x^2+15x+10)	$\frac{4 x^{2} - 16}{5 x^{2} + 15 x + 10}$
180756	Solve the System of Equations	x=7-2y 2x+y=5	$x = 7 - 2 y$ $2 x + y = 5$
180757	Find the Exact Value	i^13	$i^{13}$
180758	Solve for x	x-(x+5)/(x+8)=(3x)/(x+8)	$x - \frac{x + 5}{x + 8} = \frac{3 x}{x + 8}$
180759	Find the Exact Value	square root of 4/9	$\sqrt{\frac{4}{9}}$
180760	Solve for x	x/(x^2+3x+2)=2/(x+2)-1/(x+1)	$\frac{x}{x^{2} + 3 x + 2} = \frac{2}{x + 2} - \frac{1}{x + 1}$
180761	Graph	f(x)=(x+2)(x-3)^2(x+4)	$f (x) = (x + 2) {(x - 3)}^{2} (x + 4)$
180762	Multiply	(1/4r-3x)(1/4r+3x)	$(\frac{1}{4} r - 3 x) (\frac{1}{4} r + 3 x)$
180763	Factor	f(x)=x^3-4x^2+4x-16	$f (x) = x^{3} - 4 x^{2} + 4 x - 16$
180764	Solve the Inequality for k	3/10>=k-3/5	$\frac{3}{10} \geq k - \frac{3}{5}$
180765	Expand the Logarithmic Expression	log of ( square root of zy^3)/x	$\log (\frac{\sqrt{z} y^{3}}{x})$
180766	Solve the Inequality for x	(x-4)(x-6)(x-7)<=0	$(x - 4) (x - 6) (x - 7) \leq 0$
180767	Solve for c	p(x)=5x^4+7x^3-2x^2-3x+c	$p (x) = 5 x^{4} + 7 x^{3} - 2 x^{2} - 3 x + c$
180768	Solve for x	x^(3/2)-5=22	$x^{\frac{3}{2}} - 5 = 22$
180769	Determine if Parallel	3y=4x+15 and 9x+12y=12	$3 y = 4 x + 15$ and $9 x + 12 y = 12$
180770	Find the Exact Value	(1-3/4)/2+1/2	$\frac{1 - \frac{3}{4}}{2} + \frac{1}{2}$
180771	Find All Complex Solutions	square root of x+3+3=x	$\sqrt{x + 3} + 3 = x$
180772	Simplify	(1+8i)/(2-4i)	$\frac{1 + 8 i}{2 - 4 i}$
180773	Find the Product	(3n+2)(n+3)	$(3 n + 2) (n + 3)$
180774	Graph	m(x)=1/2\|x+4\|-1	$m (x) = \frac{1}{2} \| x + 4 \| - 1$
180775	Graph	y=3/2cos(x-pi)	$y = \frac{3}{2} \cos (x - π)$
180776	Solve the System of Inequalities	10x<=30 or 17-x<7	$10 x \leq 30$ or $17 - x < 7$
180777	Find the Midpoint	(3,0) and (0,-8)	$(3, 0)$ and $(0, - 8)$
180778	Graph	2x+4y<=4 3x+y<=9	$2 x + 4 y \leq 4$ $3 x + y \leq 9$
180779	Simplify	(6^(3/4))^(1/3)	${(6^{\frac{3}{4}})}^{\frac{1}{3}}$
180780	Solve for x	(-2x)/(x-1)+(x+3)/(x^2-1)=1/x	$\frac{- 2 x}{x - 1} + \frac{x + 3}{x^{2} - 1} = \frac{1}{x}$
180781	Solve for a	( sixth root of x)/(x^(1/6))=x^a	$\frac{\sqrt[6]{x}}{x^{\frac{1}{6}}} = x^{a}$
180782	Find the 7th Term	1 , 4 , 9 , 16 , 25	$1$ , $4$ , $9$ , $16$ , $25$
180783	Graph	y=f(2x-4)-1	$y = f (2 x - 4) - 1$
180784	Solve for x	(6x-3)^(2/3)+6=15	${(6 x - 3)}^{\frac{2}{3}} + 6 = 15$
180785	Solve for x	1/(3x-2)+5/x=0	$\frac{1}{3 x - 2} + \frac{5}{x} = 0$
180786	Graph	g(x)=f(2x) ?	$g (x) = f (2 x)$ ?
180787	Simplify	(x^5-11x^4+10x^3)/(6x^2-6x)*(x^2-1)/(x^2-9x-10)	$\frac{x^{5} - 11 x^{4} + 10 x^{3}}{6 x^{2} - 6 x} \cdot \frac{x^{2} - 1}{x^{2} - 9 x - 10}$
180788	Find the Product	(x-3y)^3	${(x - 3 y)}^{3}$
180789	Simplify	xy-2xy+3x^2y-4xy^2+2xy^2	$x y - 2 x y + 3 x^{2} y - 4 x y^{2} + 2 x y^{2}$
180790	Graph Using a Table of Values	f(x) = log base 4 of x	$f (x) = \log_{4} (x)$
180791	Subtract	(8x^5+6x^3-2x^2+10x)-(9x^5-x^3-13x^2+4)	$(8 x^{5} + 6 x^{3} - 2 x^{2} + 10 x) - (9 x^{5} - x^{3} - 13 x^{2} + 4)$
180792	Factor	x^5+x^4-3x^3-3x^2-4x-4	$x^{5} + x^{4} - 3 x^{3} - 3 x^{2} - 4 x - 4$
180793	Evaluate	square root of 1-x^2	$\sqrt{1 - x^{2}}$
180794	Find the Holes in the Graph	(x-3)/(2x+7)	$\frac{x - 3}{2 x + 7}$
180795	Solve for x	(2x)/(x-3)-(2x-5)/(x^2-8x+15)=-3/(x-5)	$\frac{2 x}{x - 3} - \frac{2 x - 5}{x^{2} - 8 x + 15} = \frac{- 3}{x - 5}$
180796	Solve for y	-4+y<-8	$- 4 + y < - 8$
180797	Graph	\|x\|+\|y\|<=1	$\| x \| + \| y \| \leq 1$
180798	Graph	y>-x+8 y>2x-4	$y > - x + 8$ $y > 2 x - 4$
180799	Simplify	-6ab^3(a^5b^2-2a^4b-10ab-7)	$- 6 a b^{3} (a^{5} b^{2} - 2 a^{4} b - 10 a b - 7)$
180800	Solve for x	3(x-2)+7=8-(4x+7)	$3 (x - 2) + 7 = 8 - (4 x + 7)$