Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
196801	Solve the Inequality for x	5(x-2)>5x	$5 (x - 2) > 5 x$
196802	Multiply	(x^3-2x^2+3x-1)(2x+3)	$(x^{3} - 2 x^{2} + 3 x - 1) (2 x + 3)$
196803	Find the Inverse	x^(1/3)	$x^{\frac{1}{3}}$
196804	Simplify	0.2a^2b^3*(-5a^3b)^2	$0.2 a^{2} b^{3} \cdot {(- 5 a^{3} b)}^{2}$
196805	Convert to Interval Notation	x<7 or x<9	$x < 7$ or $x < 9$
196806	Evaluate	4sin(x)^2-1=0	$4 \sin^{2} (x) - 1 = 0$
196807	Find the Roots (Zeros)	3x^4+4x-8	$3 x^{4} + 4 x - 8$
196808	Solve for x	x^2+164=16x	$x^{2} + 164 = 16 x$
196809	Solve for x	-5/4(3x+5)=1/4(-x+1)-3	$- \frac{5}{4} (3 x + 5) = \frac{1}{4} (- x + 1) - 3$
196810	Solve the System of Inequalities	x+7<7 OR 5+2x>=7	$x + 7 < 7$ OR $5 + 2 x \geq 7$
196811	Find the End Behavior	f(x)=4x^4+324x-36x^3+36x^2-648	$f (x) = 4 x^{4} + 324 x - 36 x^{3} + 36 x^{2} - 648$
196812	Solve the Inequality for u	4u-6>=6u-20	$4 u - 6 \geq 6 u - 20$
196813	Solve for x	0=-x^2+1	$0 = - x^{2} + 1$
196814	Find the Roots (Zeros)	square root of 2y-5 = square root of 2y+6	$\sqrt{2 y - 5} = \sqrt{2 y + 6}$
196815	Write as a Single Logarithm	2 log of 5+5 log of x	$2 \log (5) + 5 \log (x)$
196816	Find the x and y Intercepts	f(x)=2x^3+x^2-13x+6	$f (x) = 2 x^{3} + x^{2} - 13 x + 6$
196817	Graph	y = cube root of 1/2x-4	$y = \sqrt[3]{\frac{1}{2} x} - 4$
196818	Find the Exact Value	3+(-7)	$3 + (- 7)$
196819	Find the x and y Intercepts	y=-1/5(x-5)^2-2	$y = - \frac{1}{5} {(x - 5)}^{2} - 2$
196820	Graph	x^2-2x-15<=0	$x^{2} - 2 x - 15 \leq 0$
196821	Solve for b	10b+7<5b+8	$10 b + 7 < 5 b + 8$
196822	Find f(g(x))	f(x)=3x-7 and g(x)=(x+3)/7	$f (x) = 3 x - 7$ and $g (x) = \frac{x + 3}{7}$
196823	Factor	x^2+6x+9-xy^2-3y^2	$x^{2} + 6 x + 9 - x y^{2} - 3 y^{2}$
196824	Solve the System of Equations	x+y+z=7 x-y+2z=7 5x+y+z=11	$x + y + z = 7$ $x - y + 2 z = 7$ $5 x + y + z = 11$
196825	Solve the System of Equations	6x=-6y-30 -3x-3y=15	$6 x = - 6 y - 30$ $- 3 x - 3 y = 15$
196826	Divide	(5x^4-5x^3+2x^2)÷(x^2)	$(5 x^{4} - 5 x^{3} + 2 x^{2}) \div (x^{2})$
196827	Write in Standard Form	2(x+3)^2-(x+2)^2=16	$2 {(x + 3)}^{2} - {(x + 2)}^{2} = 16$
196828	Solve for x	(6x)/(x+5)+15/x=6	$\frac{6 x}{x + 5} + \frac{15}{x} = 6$
196829	Solve for x	3/10x+7=1/6-x	$\frac{3}{10} x + 7 = \frac{1}{6} - x$
196830	Find the Roots (Zeros)	f(x)=(x-3)^2(x+2)(x-1)	$f (x) = {(x - 3)}^{2} (x + 2) (x - 1)$
196831	Find the Product	(ab+3)^2	${(a b + 3)}^{2}$
196832	Simplify	(x+y-2)^2	${(x + y - 2)}^{2}$
196833	Solve for x	(x+4)/9=2x	$\frac{x + 4}{9} = 2 x$
196834	Simplify	4c+c-2c	$4 c + c - 2 c$
196835	Find the End Behavior	f(x)=-9600-420x^3+1520x+2680x^2+10x^5-70x^4	$f (x) = - 9600 - 420 x^{3} + 1520 x + 2680 x^{2} + 10 x^{5} - 70 x^{4}$
196836	Simplify	(s^3-2s-9)+(2s^2-6s^3+s)	$(s^{3} - 2 s - 9) + (2 s^{2} - 6 s^{3} + s)$
196837	Evaluate	log base 2 of 1/8+4	$\log_{2} (\frac{1}{8}) + 4$
196838	Evaluate	1÷infinity	$1 \div \infty$
196839	Simplify	18+(6-8)^3	$18 + {(6 - 8)}^{3}$
196840	Simplify	(x+2)+(x^2-4)	$(x + 2) + (x^{2} - 4)$
196841	Graph Using a Table of Values	f(x)=(-10x+20)/(x^2-x-20)	$f (x) = \frac{- 10 x + 20}{x^{2} - x - 20}$
196842	Factor	3x^2+x-2=0	$3 x^{2} + x - 2 = 0$
196843	Find the Holes in the Graph	f(x)=(x^2+4x+4)/(x^2+2x-8)	$f (x) = \frac{x^{2} + 4 x + 4}{x^{2} + 2 x - 8}$
196844	Find the Perpendicular Line	(1,8) and perpendicular to 3x+7y=1	$(1, 8)$ and perpendicular to $3 x + 7 y = 1$
196845	Solve the Inequality for x	x(x+2)(x-2)<=0	$x (x + 2) (x - 2) \leq 0$
196846	Solve for s	p=q+4+s	$p = q + 4 + s$
196847	Solve for x	-13(5)+(-7/8x)=-79	$- 13 (5) + (- \frac{7}{8} x) = - 79$
196848	Graph	F(x)=(x-3)/(x-5)	$F (x) = \frac{x - 3}{x - 5}$
196849	Solve for x	-5/(2x)+3/(4x)=-3/4	$\frac{- 5}{2 x} + \frac{3}{4 x} = \frac{- 3}{4}$
196850	Find All Complex Solutions	cos(x)^2-1/2=0	$\cos^{2} (x) - \frac{1}{2} = 0$
196851	Solve for θ	tan(theta)=-2sin(theta)	$\tan (θ) = - 2 \sin (θ)$
196852	Solve for d	3\|d+1\|-7>=-1	$3 \| d + 1 \| - 7 \geq - 1$
196853	Simplify	(m*m^-2n^(5/3))^2	${(m \cdot m^{- 2} n^{\frac{5}{3}})}^{2}$
196854	Solve for m	p=(rt)/(mv)	$p = \frac{r t}{m v}$
196855	Write the Fraction in Simplest Form	(2a^2-2)/(2a^2+4a-6)	$\frac{2 a^{2} - 2}{2 a^{2} + 4 a - 6}$
196856	Graph	x^2+2x+1>0	$x^{2} + 2 x + 1 > 0$
196857	Simplify	(p+7)-(6p^2+13p)	$(p + 7) - (6 p^{2} + 13 p)$
196858	Solve for x	3=-2(-5/4x+7/8)+x	$3 = - 2 (- \frac{5}{4} x + \frac{7}{8}) + x$
196859	Simplify	(1-4/x+3/(x^2))/(1+1/x-12/(x^2))	$\frac{1 - \frac{4}{x} + \frac{3}{x^{2}}}{1 + \frac{1}{x} - \frac{12}{x^{2}}}$
196860	Solve for h	3h+7>=-h-10	$3 h + 7 \geq - h - 10$
196861	Solve the Rational Equation for x	(3x-2)/x=-8/x	$\frac{3 x - 2}{x} = - \frac{8}{x}$
196862	Simplify	(9f^2+9f+9)+(2f-f^2+1)	$(9 f^{2} + 9 f + 9) + (2 f - f^{2} + 1)$
196863	Convert to a Decimal	420deg	$420$ degrees
196864	Divide Using Long Polynomial Division	(x^4+2x^2-5)/x	$\frac{x^{4} + 2 x^{2} - 5}{x}$
196865	Simplify the Radical Expression	square root of (4x^2)/(3y)	$\sqrt{\frac{4 x^{2}}{3 y}}$
196866	Solve for k	x^2-3kx+3k-7=0	$x^{2} - 3 k x + 3 k - 7 = 0$
196867	Find the Roots (Zeros)	2x^2-4=16x	$2 x^{2} - 4 = 16 x$
196868	Solve Over the Interval	sin(theta)^2-cos(theta)^2=0 0<=theta<2pi	$\sin^{2} (θ) - \cos^{2} (θ) = 0$ $0 \leq θ < 2 π$
196869	Factor	x^2+8x+16-xc^2-4c^2	$x^{2} + 8 x + 16 - x c^{2} - 4 c^{2}$
196870	Find Where Undefined/Discontinuous	f(x)=(x^4-4x^2)/(x^2-4x)	$f (x) = \frac{x^{4} - 4 x^{2}}{x^{2} - 4 x}$
196871	Solve for x	-1-(-3x-1)=-3/5(x-3/2)	$- 1 - (- 3 x - 1) = - \frac{3}{5} (x - \frac{3}{2})$
196872	Solve for A	(1/7)^x=A^(-9x)	${(\frac{1}{7})}^{x} = A^{- 9 x}$
196873	Simplify	(-4/(x+7)+2/(x-7))/(-3/(x-7))	$\frac{- \frac{4}{x + 7} + \frac{2}{x - 7}}{- \frac{3}{x - 7}}$
196874	Solve the System of Inequalities	57-7x>3x-2 22x-1<2x+47	$57 - 7 x > 3 x - 2$ $22 x - 1 < 2 x + 47$
196875	Evaluate	(-4x^2+3x+3)-(4x^2+9)	$(- 4 x^{2} + 3 x + 3) - (4 x^{2} + 9)$
196876	Solve the System of Equations	4x+y=-1 y=-2x+3	$4 x + y = - 1$ $y = - 2 x + 3$
196877	Solve the System of Equations	-x^2+y^2=16 -2x^2+y^2=16	$- x^{2} + y^{2} = 16$ $- 2 x^{2} + y^{2} = 16$
196878	Simplify	(x^3-6x)(2x^3+5x-1)	$(x^{3} - 6 x) (2 x^{3} + 5 x - 1)$
196879	Simplify	60÷5(7-2)	$60 \div 5 (7 - 2)$
196880	Simplify	(m^2-6m+8)/(2m-2)*10/(m-4)	$\frac{m^{2} - 6 m + 8}{2 m - 2} \cdot \frac{10}{m - 4}$
196881	Find the Degree, Leading Term, and Leading Coefficient	f(x)=1/4x^5+8x-5x^4-19	$f (x) = \frac{1}{4} x^{5} + 8 x - 5 x^{4} - 19$
196882	Solve for x	3 square root of x-6=0	$3 \sqrt{x} - 6 = 0$
196883	Multiply	(2x^3y^5)(4x^2-3y^3)	$(2 x^{3} y^{5}) (4 x^{2} - 3 y^{3})$
196884	Evaluate	((-2x)^3(-x)^2)/((2x)^2)	$\frac{{(- 2 x)}^{3} {(- x)}^{2}}{{(2 x)}^{2}}$
196885	Solve for v	5v-6<=10v+5	$5 v - 6 \leq 10 v + 5$
196886	Solve for x	2/3-4/(3x)=2	$\frac{2}{3} - \frac{4}{3 x} = 2$
196887	Find All Complex Solutions	sin(30)=-1	$\sin (30) = - 1$
196888	Find All Complex Solutions	x-2 = square root of 2x-1	$x - 2 = \sqrt{2 x - 1}$
196889	Solve for y	6-5*4+y/3=1	$6 - 5 \cdot 4 + \frac{y}{3} = 1$
196890	Convert to Polar	3x-y+2=0	$3 x - y + 2 = 0$
196891	Evaluate	4/3(3.14)(5)^3	$\frac{4}{3} (3.14) {(5)}^{3}$
196892	Divide	(20b^2)/(30a^2)+(10ab^3)/(5ab)	$\frac{20 b^{2}}{30 a^{2}} + \frac{10 a b^{3}}{5 a b}$
196893	Solve for R	S/R-5=T/R	$\frac{S}{R} - 5 = \frac{T}{R}$
196894	Find the Excluded Values	(x+2)/(x^2+14x+49)*(x^2+6x-7)/(x^2+x-2)	$\frac{x + 2}{x^{2} + 14 x + 49} \cdot \frac{x^{2} + 6 x - 7}{x^{2} + x - 2}$
196895	Simplify	5/(x-4)-(x-6)/(2x+5)	$\frac{5}{x - 4} - \frac{x - 6}{2 x + 5}$
196896	Simplify	(x-3)/(x+2)-(x+4)/(x-2)	$\frac{x - 3}{x + 2} - \frac{x + 4}{x - 2}$
196897	Find the x and y Intercepts	F(x) = log base 3 of x-2	$F (x) = \log_{3} (x - 2)$
196898	Simplify	i^20*i^41	$i^{20} \cdot i^{41}$
196899	Solve the Inequality for x	-3x>=-(3x+1)-1/2x	$- 3 x \geq - (3 x + 1) - \frac{1}{2} x$
196900	Solve the Inequality for x	9^(2x-4)>=(1/27)^(x^2-4)	$9^{2 x - 4} \geq {(\frac{1}{27})}^{x^{2} - 4}$