Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
178501	Solve the Absolute Value Inequality for v	8+\|4v-7\|>=17	$8 + \| 4 v - 7 \| \geq 17$
178502	Find the Midpoint	(-4,5) and (-1,1)	$(- 4, 5)$ and $(- 1, 1)$
178503	Solve for θ	cos(2theta)+8sin(theta)^2=4	$\cos (2 θ) + 8 \sin^{2} (θ) = 4$
178504	Solve for x	x^2=2-x	$x^{2} = 2 - x$
178505	Solve for a	( sixth root of x^5)/((x^(1/6))^5)=x^a	$\frac{\sqrt[6]{x^{5}}}{{(x^{\frac{1}{6}})}^{5}} = x^{a}$
178506	Solve the System of Equations	5x+2y=9 2x-3y=15	$5 x + 2 y = 9$ $2 x - 3 y = 15$
178507	Divide	(4^2)÷(4^6)	$4^{2} \div 4^{6}$
178508	Find the x and y Intercepts	f(x)=(x-2)+4	$f (x) = (x - 2) + 4$
178509	Write in Standard Form	f(x)=-x^2-4x+2	$f (x) = - x^{2} - 4 x + 2$
178510	Simplify	(-k^2-16k-5)+(11-k^2+13k)	$(- k^{2} - 16 k - 5) + (11 - k^{2} + 13 k)$
178511	Find the x and y Intercepts	R(x)=(x^2)/(x^2+x-20)	$R (x) = \frac{x^{2}}{x^{2} + x - 20}$
178512	Graph	y>x+6 y>-3x-6	$y > x + 6$ $y > - 3 x - 6$
178513	Evaluate	log base 7 of x+ log base 7 of 6x-1=1	$\log_{7} (x) + \log_{7} (6 x - 1) = 1$
178514	Solve for r	PV=nRT for r	$P V = n R T$ for $r$
178515	Simplify	square root of (36x^8)/(4x^6)	$\sqrt{\frac{36 x^{8}}{4 x^{6}}}$
178516	Solve for x	0=x^2-2x	$0 = x^{2} - 2 x$
178517	Graph	y=e^(x^2)	$y = e^{x^{2}}$
178518	Graph	-12<1/2(4x+16)<18	$- 12 < \frac{1}{2} (4 x + 16) < 18$
178519	Convert to a Decimal	510deg	$510$ degrees
178520	Find the Holes in the Graph	f(x)=(2x-20)/(2x^2+9x-35)	$f (x) = \frac{2 x - 20}{2 x^{2} + 9 x - 35}$
178521	Solve for x	10(x-1)=0	$10 (x - 1) = 0$
178522	Factor by Grouping	xm+ym+xn+yn	$x m + y m + x n + y n$
178523	Solve for g	8g+6+g=3(2-3g)	$8 g + 6 + g = 3 (2 - 3 g)$
178524	Solve for n	e^(10-n)+1=35.4	$e^{10 - n} + 1 = 35.4$
178525	Evaluate	(x+3)(x-4)	$(x + 3) (x - 4)$
178526	Solve the Inequality for x	-16>x÷2	$- 16 > x \div 2$
178527	Evaluate the Function	f(-2)=3	$f (- 2) = 3$
178528	Factor	(a+b)^2-4c^2	${(a + b)}^{2} - 4 c^{2}$
178529	Graph	3x+\|y\|=0	$3 x + \| y \| = 0$
178530	Describe the Transformation	f(x)=-5/3\|x\|+2	$f (x) = - \frac{5}{3} \| x \| + 2$
178531	Graph	(e^x)/x	$\frac{e^{x}}{x}$
178532	Simplify the Radical Expression	32^(1/5)	$32^{\frac{1}{5}}$
178533	Solve for a	xx^(4/5)=x^a	$x \cdot x^{\frac{4}{5}} = x^{a}$
178534	Solve for s	-17/4s+8=3/2(1/2s+6)	$- \frac{17}{4} s + 8 = \frac{3}{2} (\frac{1}{2} s + 6)$
178535	Write in Standard Form	(4x+5)(x^2-x-4)	$(4 x + 5) (x^{2} - x - 4)$
178536	Simplify	x square root of 63x^5y^7	$x \sqrt{63 x^{5} y^{7}}$
178537	Solve for x	y=1/(x^2)	$y = \frac{1}{x^{2}}$
178538	Rationalize the Denominator	( square root of 12)/( square root of 3+3)	$\frac{\sqrt{12}}{\sqrt{3} + 3}$
178539	Simplify	2xy^2+3x-4y^2+2xy^2-3xy^2-x	$2 x y^{2} + 3 x - 4 y^{2} + 2 x y^{2} - 3 x y^{2} - x$
178540	Find f(g(x))	f(x)=-2x^2+2x+3 g(x)=-4	$f (x) = - 2 x^{2} + 2 x + 3$ $g (x) = - 4$
178541	Solve for a	5/8=1/2(a+2)	$\frac{5}{8} = \frac{1}{2} (a + 2)$
178542	Factor	2x^3+3x^2-3x-2	$2 x^{3} + 3 x^{2} - 3 x - 2$
178543	Find the Midpoint	(10,1) and (3,-6)	$(10, 1)$ and $(3, - 6)$
178544	Find the Exact Value	tan(570 degrees )	$\tan (570 °)$
178545	Solve for x	2+2x-5=5(x+3)	$2 + 2 x - 5 = 5 (x + 3)$
178546	Multiply	(1+i)*(3-5i)	$(1 + i) \cdot (3 - 5 i)$
178547	Solve for x	x/5+x/3-1=x/2	$\frac{x}{5} + \frac{x}{3} - 1 = \frac{x}{2}$
178548	Simplify	(x^4-9x^2)/(x^3-3x^2)*(x+5)/(x^2+2x-15)	$\frac{x^{4} - 9 x^{2}}{x^{3} - 3 x^{2}} \cdot \frac{x + 5}{x^{2} + 2 x - 15}$
178549	Simplify	(w+4)/(w^2+w-30)+8/(w-5)	$\frac{w + 4}{w^{2} + w - 30} + \frac{8}{w - 5}$
178550	Simplify	((x+5)/6+1/x)/(1/(x^2)-1/9)	$\frac{\frac{x + 5}{6} + \frac{1}{x}}{\frac{1}{x^{2}} - \frac{1}{9}}$
178551	Simplify	-3 square root of 45+2 square root of 12+3 square root of 6-3 square root of 20	$- 3 \sqrt{45} + 2 \sqrt{12} + 3 \sqrt{6} - 3 \sqrt{20}$
178552	Graph	f(x)=9^x , f^-1(x) = log base 9 of x	$f (x) = 9^{x}$ , $f^{- 1} (x) = \log_{9} (x)$
178553	Solve for x	(2\|x+1\|)/3=6	$\frac{2 \| x + 1 \|}{3} = 6$
178554	Solve for x	square root of 25x^2-40x+16=3	$\sqrt{25 x^{2} - 40 x + 16} = 3$
178555	Solve the Inequality for x	x^2-6x-16<0	$x^{2} - 6 x - 16 < 0$
178556	Evaluate	3x*x	$3 x \cdot x$
178557	Simplify	(22222222)/(2222)	$\frac{2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2}{2 \cdot 2 \cdot 2 \cdot 2}$
178558	Graph	f(x)=1/2(x+2)^2-3	$f (x) = \frac{1}{2} {(x + 2)}^{2} - 3$
178559	Solve for u	2u-u-1=4	$2 u - u - 1 = 4$
178560	Solve for x	3/(x-1)-1/(x^2-1)=5/(x-1)	$\frac{3}{x - 1} - \frac{1}{x^{2} - 1} = \frac{5}{x - 1}$
178561	Find g(f(x))	f(x)=x-6 g(x)=x+6	$f (x) = x - 6$ $g (x) = x + 6$
178562	Solve for u	square root of u=2	$\sqrt{u} = 2$
178563	Solve the Inequality for x	3(4x-(2x-7))<2(3x-5)	$3 (4 x - (2 x - 7)) < 2 (3 x - 5)$
178564	Solve the Inequality for x	3x-4<2	$3 x - 4 < 2$
178565	Find the Exact Value	-\|5\|	$- \| 5 \|$
178566	Simplify	(-2/(x+2)-4/(x+1))/(-4/(x+2)-2/(x+1))	$\frac{- \frac{2}{x + 2} - \frac{4}{x + 1}}{- \frac{4}{x + 2} - \frac{2}{x + 1}}$
178567	Solve for θ	square root of 3csc(theta)-2=0	$\sqrt{3} \csc (θ) - 2 = 0$
178568	Solve the System of Equations	3x-4y=3 -6x+8y=-6	$3 x - 4 y = 3$ $- 6 x + 8 y = - 6$
178569	Find the Product	(x-6)(x-5)	$(x - 6) (x - 5)$
178570	Evaluate	4cos(x)^2-3=0	$4 \cos^{2} (x) - 3 = 0$
178571	Factor	0.36-x^4y^4	$0.36 - x^{4} y^{4}$
178572	Find All Complex Solutions	\|x\|=5	$\| x \| = 5$
178573	Solve the Inequality for x	x^2-11x+30>0	$x^{2} - 11 x + 30 > 0$
178574	Solve for x	x^2-10=3x	$x^{2} - 10 = 3 x$
178575	Write in Standard Form	-4x-7x^2+15=-5x^2	$- 4 x - 7 x^{2} + 15 = - 5 x^{2}$
178576	Graph Using a Table of Values	f(x)=5x+2	$f (x) = 5 x + 2$
178577	Graph	f(x)=4+x if x<-1; x^2 if -1<=x<1; 2-x if x>=1	$f (x) = {\begin{cases} 4 + x & x < - 1 \\ x^{2} & - 1 \leq x < 1 \\ 2 - x & x \geq 1 \end{cases}$
178578	Graph	y=2x-2 y=x-2	$y = 2 x - 2$ $y = x - 2$
178579	Simplify	1/(8(12-5x)+3)	$\frac{1}{8 (12 - 5 x) + 3}$
178580	Evaluate	-4y-4+(-3)	$- 4 y - 4 + (- 3)$
178581	Find the First Term	4n+3	$4 n + 3$
178582	Find the x and y Intercepts	y=2x^2+x	$y = 2 x^{2} + x$
178583	Solve the System of Inequalities	-4x+7<=35 and -5<=-4x+7	$- 4 x + 7 \leq 35$ and $- 5 \leq - 4 x + 7$
178584	Solve the Inequality for x	(x+2)^2<=25	${(x + 2)}^{2} \leq 25$
178585	Solve for x	3x+5/(x-6)=2x	$3 x + \frac{5}{x - 6} = 2 x$
178586	Solve the Inequality for x	-3x-2>=7	$- 3 x - 2 \geq 7$
178587	Find the Product	(m-4)(m+3)	$(m - 4) (m + 3)$
178588	Graph	tan(theta)>0 and sin(theta)<0	$\tan (θ) > 0$ and $\sin (θ) < 0$
178589	Simplify	(1/(z^(3/5)))^(-1/5)	${(\frac{1}{z^{\frac{3}{5}}})}^{- \frac{1}{5}}$
178590	Solve by Substitution	-8x+y=-32 -3x-10=y	$- 8 x + y = - 32$ $- 3 x - 10 = y$
178591	Solve the Inequality for x	7x+2/3>8-1/4x	$7 x + \frac{2}{3} > 8 - \frac{1}{4} x$
178592	Graph	{y\|y>=0}	${y \| y \geq 0}$
178593	Solve the System of Equations	y=3x+30 y=8x	$y = 3 x + 30$ $y = 8 x$
178594	Expand the Logarithmic Expression	log of (x cube root of y)/(z^2)	$\log (\frac{x \sqrt[3]{y}}{z^{2}})$
178595	Solve the System of Equations	y=8x y=5x	$y = 8 x$ $y = 5 x$
178596	Simplify	(3x^2+y^2)^2	${(3 x^{2} + y^{2})}^{2}$
178597	Solve for a	-8=8(-3+a)	$- 8 = 8 (- 3 + a)$
178598	Find the Holes in the Graph	f(x)=(3x^2+8x)/(x^2+3x-10)	$f (x) = \frac{3 x^{2} + 8 x}{x^{2} + 3 x - 10}$
178599	Find All Complex Solutions	2x^2+7x+k=0	$2 x^{2} + 7 x + k = 0$
178600	Solve the Inequality for x	21x-12x<=54	$21 x - 12 x \leq 54$