Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
197701	Solve for z	12z^2+7z-16=-6	$12 z^{2} + 7 z - 16 = - 6$
197702	Find the Degree	x(x-4)(x+5)(x-1)=0	$x (x - 4) (x + 5) (x - 1) = 0$
197703	Solve for x	(4(x+1))/6=3x-4	$\frac{4 (x + 1)}{6} = 3 x - 4$
197704	Graph	x<-2 or x>3	$x < - 2$ or $x > 3$
197705	Solve the Absolute Value Inequality for a	(\|a-5\|)/8=5	$\frac{\| a - 5 \|}{8} = 5$
197706	Multiply	cube root of 4* cube root of 16	$\sqrt[3]{4} \cdot \sqrt[3]{16}$
197707	Solve for x	(-x)/(x-1)=(x-8)/3	$\frac{- x}{x - 1} = \frac{x - 8}{3}$
197708	Graph	2x=y^3	$2 x = y^{3}$
197709	Solve for x	2/(x-2)+1/(x+1)=1/(x^2-x-2)	$\frac{2}{x - 2} + \frac{1}{x + 1} = \frac{1}{x^{2} - x - 2}$
197710	Graph	f(x)=-2(x+4)	$f (x) = - 2 (x + 4)$
197711	Find the x and y Intercepts	(x^2-1)/(x^2+x)	$\frac{x^{2} - 1}{x^{2} + x}$
197712	Subtract	(4a+7b-12c)-(8a-9b+12d)	$(4 a + 7 b - 12 c) - (8 a - 9 b + 12 d)$
197713	Graph	y=1/2cos(2x-pi/2)	$y = \frac{1}{2} \cos (2 x - \frac{π}{2})$
197714	Graph	f(x)=x^4-x^3-21x^2+x+20	$f (x) = x^{4} - x^{3} - 21 x^{2} + x + 20$
197715	Solve for x	1/4-7/10=(x+9)/20	$\frac{1}{4} - \frac{7}{10} = \frac{x + 9}{20}$
197716	Solve for x	5/(4x^2)-1/3=3/(6x^2)	$\frac{5}{4 x^{2}} - \frac{1}{3} = \frac{3}{6 x^{2}}$
197717	Simplify the Radical Expression	square root of 1/4	$\sqrt{\frac{1}{4}}$
197718	Evaluate	(-4x^2+x)-(-8x^2-2x+6)	$(- 4 x^{2} + x) - (- 8 x^{2} - 2 x + 6)$
197719	Solve the System of Inequalities	12+4n>44 or 10-12n>-38	$12 + 4 n > 44$ or $10 - 12 n > - 38$
197720	Solve for r	3r=78+14 ?	$3 r = 78 + 14$ ?
197721	Find the Holes in the Graph	f(x)=1/(x+2)	$f (x) = \frac{1}{x + 2}$
197722	Graph	-2<x>=4	$- 2 < x \geq 4$
197723	Solve for x	\|3x-2\|-\|x-3\|=4-\|x+2\|	$\| 3 x - 2 \| - \| x - 3 \| = 4 - \| x + 2 \|$
197724	Evaluate	(2a-b)^2	${(2 a - b)}^{2}$
197725	Write in Standard Form	f(x)=(x-1/2)^2-25/4	$f (x) = {(x - \frac{1}{2})}^{2} - \frac{25}{4}$
197726	Solve for x	4/5x-8=x+2	$\frac{4}{5} x - 8 = x + 2$
197727	Graph	f(x)=(q(x))/(x^2+12x+36)	$f (x) = \frac{q (x)}{x^{2} + 12 x + 36}$
197728	Simplify	((3xy^4)/(5z^2))^2	${(\frac{3 x y^{4}}{5 z^{2}})}^{2}$
197729	Solve for x	-(x-1/2)+1=2(3/2x-6)+1	$- (x - \frac{1}{2}) + 1 = 2 (\frac{3}{2} x - 6) + 1$
197730	Multiply	(x-y)*(x+y)	$(x - y) \cdot (x + y)$
197731	Evaluate	(2+-4)/2	$\frac{2 + - 4}{2}$
197732	Solve the Inequality for x	-5+3/4(5x-1)<1	$- 5 + \frac{3}{4} (5 x - 1) < 1$
197733	Multiply	1/22/33/4	$\frac{1}{2} \cdot \frac{2}{3} \cdot \frac{3}{4}$
197734	Simplify	3(-x^2+x)	$3 (- x^{2} + x)$
197735	Simplify	5 square root of 8x*3 square root of 2x^5	$5 \sqrt{8 x} \cdot 3 \sqrt{2 x^{5}}$
197736	Solve the Inequality for y	3y^2-2y-3y(y-6)>=-2	$3 y^{2} - 2 y - 3 y (y - 6) \geq - 2$
197737	Subtract	7 3/4-2 1/4-1 1/2-2 3/4	$7 \frac{3}{4} - 2 \frac{1}{4} - 1 \frac{1}{2} - 2 \frac{3}{4}$
197738	Graph	f(x)=9+x,x<=3; x^2+3,x>3	$f (x) = {\begin{cases} 9 + x, x \leq 3 \\ x^{2} + 3, x > 3 \end{cases}$
197739	Solve for x	4/3x-1/2=0	$\frac{4}{3} x - \frac{1}{2} = 0$
197740	Solve for x	16x-3(4x+7)=6x-(2x+21)	$16 x - 3 (4 x + 7) = 6 x - (2 x + 21)$
197741	Solve the Absolute Value Inequality for n	\|n\|=5	$\| n \| = 5$
197742	Simplify	1/(sin(theta)cos(theta))	$\frac{1}{\sin (θ) \cos (θ)}$
197743	Solve for b	r=(7+b)m	$r = (7 + b) m$
197744	Evaluate	(7^2*4)÷4	$7^{2} \cdot 4 \div 4$
197745	Solve the Inequality for x	3(x+2)>x	$3 (x + 2) > x$
197746	Solve the Inequality for x	(x^2-1)(x+5)(x-3)<=0	$(x^{2} - 1) (x + 5) (x - 3) \leq 0$
197747	Solve for r	(r,2) , (6,3) , m=1/2	$(r, 2)$ , $(6, 3)$ , $m = \frac{1}{2}$
197748	Solve for x	log base 5 of x^2-4- log base 5 of x+4=1	$\log_{5} (x^{2} - 4) - \log_{5} (x + 4) = 1$
197749	Find the Distance Between Two Points	(1,2) and (4,6)	$(1, 2)$ and $(4, 6)$
197750	Find All Complex Solutions	cos(x)^2-3/4=0	$\cos^{2} (x) - \frac{3}{4} = 0$
197751	Solve for n	7*n=42+7	$7 \cdot n = 42 + 7$
197752	Factor	P(x)=x^5+3x^4-9x^3-31x^2+36	$P (x) = x^{5} + 3 x^{4} - 9 x^{3} - 31 x^{2} + 36$
197753	Find the Holes in the Graph	(-5x^2+20)/(3x^2-6x)	$\frac{- 5 x^{2} + 20}{3 x^{2} - 6 x}$
197754	Find the Holes in the Graph	(x^2-4)/(2x^2-11x+14)	$\frac{x^{2} - 4}{2 x^{2} - 11 x + 14}$
197755	Find the Holes in the Graph	f(x)=(x^2-36)/(x^3-36x)	$f (x) = \frac{x^{2} - 36}{x^{3} - 36 x}$
197756	Solve for x	x^2+x^2=6^2	$x^{2} + x^{2} = 6^{2}$
197757	Simplify	(m^2-n^2)/(m^3+n^3)	$\frac{m^{2} - n^{2}}{m^{3} + n^{3}}$
197758	Solve the Inequality for x	x^3-4x<=0	$x^{3} - 4 x \leq 0$
197759	Solve the Inequality for p	-36<3p-6<-15	$- 36 < 3 p - 6 < - 15$
197760	Find the Product	(x+1/2)(x-1/2)	$(x + \frac{1}{2}) (x - \frac{1}{2})$
197761	Solve the System of Equations	x=y^2-1 2x-y=4	$x = y^{2} - 1$ $2 x - y = 4$
197762	Solve for x	9x-5=1/4(16x+60)	$9 x - 5 = \frac{1}{4} (16 x + 60)$
197763	Find f(g(x))	f(x)=x+7 and g(x)=x-7	$f (x) = x + 7$ and $g (x) = x - 7$
197764	Graph	y>=1/2x+3 and 3x-y>2	$y \geq \frac{1}{2} x + 3$ and $3 x - y > 2$
197765	Solve for x	1/4\|x+2\|+7=5	$\frac{1}{4} \| x + 2 \| + 7 = 5$
197766	Simplify the Radical Expression	(14^2)^(1/3)	${(14^{2})}^{\frac{1}{3}}$
197767	Solve the Inequality for f	(3f-10)/5>7	$\frac{3 f - 10}{5} > 7$
197768	Solve the Absolute Value Inequality for x	\|1/3x+4\|=3	$\| \frac{1}{3} x + 4 \| = 3$
197769	Solve for y	x=z/y	$x = \frac{z}{y}$
197770	Convert to Polar	x^2+y^2+6y=0	$x^{2} + y^{2} + 6 y = 0$
197771	Find the Distance Between Two Points	(1,2) and (8,9)	$(1, 2)$ and $(8, 9)$
197772	Evaluate	sec(240 degrees )	$\sec (240 °)$
197773	Solve for x	(e^(x^2))/(e^(5x))=e^14	$\frac{e^{x^{2}}}{e^{5 x}} = e^{14}$
197774	Find the x and y Intercepts	(5x^2+20x)/(3x+12)	$\frac{5 x^{2} + 20 x}{3 x + 12}$
197775	Solve for θ	cos(2theta)=-( square root of 2)/2	$\cos (2 θ) = - \frac{\sqrt{2}}{2}$
197776	Factor by Grouping	34ax^2+51a^2y-68ay^2	$34 a x^{2} + 51 a^{2} y - 68 a y^{2}$
197777	Factor	(1+3a)(x+1)-2a(x+1)+3(x+1)	$(1 + 3 a) (x + 1) - 2 a (x + 1) + 3 (x + 1)$
197778	Solve the Inequality for x	25^x<125^(x-3)	$25^{x} < 125^{x - 3}$
197779	Find the Exact Value	-1^5	$- 1^{5}$
197780	Graph	f(x)=-1/2x^2 if x<3; 10-x if x>=3	$f (x) = {\begin{cases} - \frac{1}{2} x^{2} & x < 3 \\ 10 - x & x \geq 3 \end{cases}$
197781	Solve for x	-7-(x+3/2)=-9(-3x-3/2)	$- 7 - (x + \frac{3}{2}) = - 9 (- 3 x - \frac{3}{2})$
197782	Solve for y	10(-5+y)-3=17	$10 (- 5 + y) - 3 = 17$
197783	Graph	-(x^2)/16+(y^2)/9=1	$- \frac{x^{2}}{16} + \frac{y^{2}}{9} = 1$
197784	Evaluate	3x+2(4x-4)=3	$3 x + 2 (4 x - 4) = 3$
197785	Factor	6x^2y+27x+15xy^2	$6 x^{2} y + 27 x + 15 x y^{2}$
197786	Factor	x^3+x-3x^2-3	$x^{3} + x - 3 x^{2} - 3$
197787	Solve the Inequality for x	3x^2+26x>=9	$3 x^{2} + 26 x \geq 9$
197788	Graph	-1/((x-1)^2)	$- \frac{1}{{(x - 1)}^{2}}$
197789	Solve for n	3-6n+3n=-3+4-4n	$3 - 6 n + 3 n = - 3 + 4 - 4 n$
197790	Solve the Inequality for b	c = square root of a^2+b^2	$c = \sqrt{a^{2} + b^{2}}$
197791	Graph	x+y<=4 and x>=1	$x + y \leq 4$ and $x \geq 1$
197792	Convert to Logarithmic Form	b=e^(c+7)	$b = e^{c + 7}$
197793	Evaluate	9^p*3	$9^{p} \cdot 3$
197794	Evaluate	(5(-1/2)^2)/((-1/2)^2-1)	$\frac{5 {(- \frac{1}{2})}^{2}}{{(- \frac{1}{2})}^{2} - 1}$
197795	Write in Slope-Intercept Form	3x+y<-5	$3 x + y < - 5$
197796	Graph	y=3/2x^2-4x	$y = \frac{3}{2} x^{2} - 4 x$
197797	Write in Slope-Intercept Form	(3,2) , y=x+5	$(3, 2)$ , $y = x + 5$
197798	Solve for v	15v^2-8v+3=6v	$15 v^{2} - 8 v + 3 = 6 v$
197799	Graph Using a Table of Values	y=e^(-x)	$y = e^{- x}$
197800	Solve for x	log base a of a^-1=x	$\log_{a} (a^{- 1}) = x$