Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
187901	Solve for k	3^(k-2)+7=82	$3^{k - 2} + 7 = 82$
187902	Graph	y<-x+4 y>=2/5x-1	$y < - x + 4$ $y \geq \frac{2}{5} x - 1$
187903	Graph	3(p-3)-5p>-3p-6	$3 (p - 3) - 5 p > - 3 p - 6$
187904	Evaluate	(x^5)/(x^3)	$\frac{x^{5}}{x^{3}}$
187905	Solve the Inequality for x	-(x+4)-2>2x+6	$- (x + 4) - 2 > 2 x + 6$
187906	Solve for x	x/a-2x=b	$\frac{x}{a} - 2 x = b$
187907	Solve for x	(2 square root of x)/c=y	$\frac{2 \sqrt{x}}{c} = y$
187908	Simplify	(((2x^2y^3)^5)/((4x^3y^4)^2))^3	${(\frac{{(2 x^{2} y^{3})}^{5}}{{(4 x^{3} y^{4})}^{2}})}^{3}$
187909	Solve Using the Quadratic Formula	x^2+2x=3-2x	$x^{2} + 2 x = 3 - 2 x$
187910	Graph	y=f(2x)+1	$y = f (2 x) + 1$
187911	Simplify	square root of 2* square root of 8	$\sqrt{2 \cdot \sqrt{8}}$
187912	Multiply	(-3m)(5m^4-3m^3+6m-3)	$(- 3 m) (5 m^{4} - 3 m^{3} + 6 m - 3)$
187913	Solve for r	216=6^(2r-11)	$216 = 6^{2 r - 11}$
187914	Solve for x	-x^3+x^2+x-1=0	$- x^{3} + x^{2} + x - 1 = 0$
187915	Simplify	(10-4i)(4-5i)+(-15+20i)	$(10 - 4 i) (4 - 5 i) + (- 15 + 20 i)$
187916	Find the Domain and Range	y = fourth root of -x	$y = \sqrt[4]{- x}$
187917	Find the Standard Form of the Parabola	y^2+12x+6y=39	$y^{2} + 12 x + 6 y = 39$
187918	Solve for p	square root of 3p+13=p+3	$\sqrt{3 p + 13} = p + 3$
187919	Simplify	square root of -18( square root of -3- square root of 5)	$\sqrt{- 18} (\sqrt{- 3} - \sqrt{5})$
187920	Solve for x	(x+3)/(3x-2)-(x-3)/(3x+2)=44/(9x^2-4)	$\frac{x + 3}{3 x - 2} - \frac{x - 3}{3 x + 2} = \frac{44}{9 x^{2} - 4}$
187921	Solve for t	12.5=t/pi	$12.5 = \frac{t}{π}$
187922	Find the x and y Intercepts	f(x)=(x^2-2x+1)/(x^2+3x)	$f (x) = \frac{x^{2} - 2 x + 1}{x^{2} + 3 x}$
187923	Factor	x^5-3x^4-23x^3+51x^2+94x-120	$x^{5} - 3 x^{4} - 23 x^{3} + 51 x^{2} + 94 x - 120$
187924	Solve for k	square root of 4k-11+15=2	$\sqrt{4 k - 11} + 15 = 2$
187925	Solve the Inequality for x	-9<=5+2x<-5	$- 9 \leq 5 + 2 x < - 5$
187926	Simplify	5x^2 square root of 5x+3x square root of 5x^3	$5 x^{2} \sqrt{5 x} + 3 x \sqrt{5 x^{3}}$
187927	Simplify	(3x-4)(5-2x)(4x+1)	$(3 x - 4) (5 - 2 x) (4 x + 1)$
187928	Simplify	3x^2+5+4x-2-x^2-3x+1	$3 x^{2} + 5 + 4 x - 2 - x^{2} - 3 x + 1$
187929	Factor by Grouping	3x^2-3bx+xy-by	$3 x^{2} - 3 b x + x y - b y$
187930	Find the Degree, Leading Term, and Leading Coefficient	x	$x$
187931	Solve for x	-3(100x^2-49)(x^2-2)=0	$- 3 (100 x^{2} - 49) (x^{2} - 2) = 0$
187932	Evaluate	2/(-1/2)	$\frac{2}{- \frac{1}{2}}$
187933	Simplify	square root of 8ab^5 square root of 27a^7b	$\sqrt{8 a b^{5}} \sqrt{27 a^{7} b}$
187934	Solve for k	x^2-kx+169=0	$x^{2} - k x + 169 = 0$
187935	Solve the System of Inequalities	-7x+1>=22 ; OR , -10x+41>=81	$- 7 x + 1 \geq 22$ ; OR , $- 10 x + 41 \geq 81$
187936	Simplify	(3^-4)/3	$\frac{3^{- 4}}{3}$
187937	Evaluate Using the Given Value	-2xy-1 when y=-1	$- 2 x y - 1$ when $y = - 1$
187938	Evaluate	2 choose 0	${}_{2}C_{0}$
187939	Simplify	log base b of b^x	$\log_{b} (b^{x})$
187940	Solve for a	2a-6/a=a	$2 a - \frac{6}{a} = a$
187941	Simplify	((-2m^2n^3)/(m^2n^4))^2	${(\frac{- 2 m^{2} n^{3}}{m^{2} n^{4}})}^{2}$
187942	Multiply	(4+3c^5)(4-3c^5)	$(4 + 3 c^{5}) (4 - 3 c^{5})$
187943	Find the Exact Value	square root of -12	$\sqrt{- 12}$
187944	Find the Equation Using Two Points	(1,-6) and (-8,-1)	$(1, - 6)$ and $(- 8, - 1)$
187945	Divide	4 1/2÷(1/2)	$4 \frac{1}{2} \div \frac{1}{2}$
187946	Solve for c	3x-5=3x-c	$3 x - 5 = 3 x - c$
187947	Solve the Inequality for x	4<=-3x-1<=9	$4 \leq - 3 x - 1 \leq 9$
187948	Solve for x	2cos(x)-4=0	$2 \cos (x) - 4 = 0$
187949	Graph	f(x)=x-4 if x<0; x-5 if x>4	$f (x) = {\begin{cases} x - 4 & x < 0 \\ x - 5 & x > 4 \end{cases}$
187950	Find the End Behavior	f(x)=10x^3-150x+20x^2-360	$f (x) = 10 x^{3} - 150 x + 20 x^{2} - 360$
187951	Write in Standard Form	x-1=0	$x - 1 = 0$
187952	Combine Like Terms	(9x^2+6x-7)+(-9x-5)	$(9 x^{2} + 6 x - 7) + (- 9 x - 5)$
187953	Factor	x^3+2^3	$x^{3} + 2^{3}$
187954	Evaluate	35% of 80	$35 %$ of $80$
187955	Evaluate	natural log of (1)^2	$\ln ({(1)}^{2})$
187956	Simplify	-8x^2 square root of 180+9x square root of 5x^2	$- 8 x^{2} \sqrt{180} + 9 x \sqrt{5 x^{2}}$
187957	Divide	(12x^3y^2z^4)/(18xy^2z^3)	$\frac{12 x^{3} y^{2} z^{4}}{18 x y^{2} z^{3}}$
187958	Evaluate	f(-1)=5^-1	$f (- 1) = 5^{- 1}$
187959	Simplify	3x^2y4zx2yz	$3 \cdot x^{2} \cdot y \cdot 4 z \cdot x \cdot 2 y \cdot z$
187960	Solve for a	( sixth root of x)/((x^5)^(1/2))=x^a	$\frac{\sqrt[6]{x}}{{(x^{5})}^{\frac{1}{2}}} = x^{a}$
187961	Solve the Inequality for x	(x-7)(4-x)(x+1)>=0	$(x - 7) (4 - x) (x + 1) \geq 0$
187962	Evaluate	6*6^-2	$6 \cdot 6^{- 2}$
187963	Convert to Polar	x=4y+7	$x = 4 y + 7$
187964	Find the x and y Intercepts	f(x)=x(x-3)^2	$f (x) = x {(x - 3)}^{2}$
187965	Solve the Absolute Value Inequality for x	\|x\|>x-1	$\| x \| > x - 1$
187966	Solve for x	6+ax=41	$6 + a x = 41$
187967	Solve the System of Equations	x-y+4z=23 2x-y+z=-1 6x+4y+2z=-44	$x - y + 4 z = 23$ $2 x - y + z = - 1$ $6 x + 4 y + 2 z = - 44$
187968	Evaluate	2sin(x)^2-1=0	$2 \sin^{2} (x) - 1 = 0$
187969	Find Where Undefined/Discontinuous	f(x) = square root of x^2-4	$f (x) = \sqrt{x^{2} - 4}$
187970	Simplify	(4/(x^2)-1)/(1/x+2/(x^2))	$\frac{\frac{4}{x^{2}} - 1}{\frac{1}{x} + \frac{2}{x^{2}}}$
187971	Graph	y=tan(x-(3pi)/4)	$y = \tan (x - \frac{3 π}{4})$
187972	Solve Using the Quadratic Formula	7x^2=-21	$7 x^{2} = - 21$
187973	Evaluate	50÷(5^2)*2	$50 \div 5^{2} \cdot 2$
187974	Solve the Absolute Value Inequality for x	\|3x+7\|-7=4x	$\| 3 x + 7 \| - 7 = 4 x$
187975	Find the Inverse	(5+x)/(4-2x)	$\frac{5 + x}{4 - 2 x}$
187976	Solve the Absolute Value Inequality for k	8-12\|k+5\|=-4	$8 - 12 \| k + 5 \| = - 4$
187977	Find g(h(x))	g(x)=(8x-1)/(x+4) h(x)=3x+10	$g (x) = \frac{8 x - 1}{x + 4}$ $h (x) = 3 x + 10$
187978	Find the Domain and Range	y=2 square root of 3-x	$y = 2 \sqrt{3 - x}$
187979	Write in Slope-Intercept Form	(3,-1) and (4,7)	$(3, - 1)$ and $(4, 7)$
187980	Solve for x	square root of 4x-4 = square root of 5x-1-1	$\sqrt{4 x - 4} = \sqrt{5 x - 1} - 1$
187981	Find the Holes in the Graph	(x^2-4)/(x+2)	$\frac{x^{2} - 4}{x + 2}$
187982	Simplify	3x+2y-2+2x+7y+7	$3 x + 2 y - 2 + 2 x + 7 y + 7$
187983	Solve the Inequality for x	(3x+5)/2<=4	$\frac{3 x + 5}{2} \leq 4$
187984	Solve the System of Equations	x+2y+z=6 -1/2x+5y+1/3z=8 2x+10y-3z=-12	$x + 2 y + z = 6$ $- \frac{1}{2} x + 5 y + \frac{1}{3} z = 8$ $2 x + 10 y - 3 z = - 12$
187985	Graph	f(x)=(x^2-13x+40)(x^2-2x+3)	$f (x) = (x^{2} - 13 x + 40) (x^{2} - 2 x + 3)$
187986	Find the Distance Between Two Points	(0,1) and (6,3.5)	$(0, 1)$ and $(6, 3.5)$
187987	Solve for z	square root of 144-z-z=12	$\sqrt{144 - z} - z = 12$
187988	Factor	f(x)=x^3-3x+2	$f (x) = x^{3} - 3 x + 2$
187989	Solve for x	0.5(7x+4)=7-1.5x	$0.5 (7 x + 4) = 7 - 1.5 x$
187990	Evaluate	(pi/4)	$(\frac{π}{4})$
187991	Find the Roots (Zeros)	f(x)=(x+5)^3(x-9)(x+1)	$f (x) = {(x + 5)}^{3} (x - 9) (x + 1)$
187992	Solve for x	(1/49)^(-3x+13)=49^(5x-14)	${(\frac{1}{49})}^{- 3 x + 13} = 49^{5 x - 14}$
187993	Find the GCF	-18a^3b+27a^2b	$- 18 a^{3} b + 27 a^{2} b$
187994	Evaluate	sin(pi/6)^2	$\sin^{2} (\frac{π}{6})$
187995	Graph	f(x)=a\|x-h\|+k	$f (x) = a \| x - h \| + k$
187996	Solve for x	-3/4x^2+2=0	$- \frac{3}{4} x^{2} + 2 = 0$
187997	Solve for x	x^2-5x=2x^2-5x	$x^{2} - 5 x = 2 x^{2} - 5 x$
187998	Graph	(g-f)(x)	$(g - f) (x)$
187999	Evaluate	-5+(7*9)	$- 5 + (7 \times 9)$
188000	Simplify	2/( square root of 8+ square root of 7)	$\frac{2}{\sqrt{8} + \sqrt{7}}$