Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
209501	Simplify	(k^5m^2)/(k^-2(m^-2)^-5)	$\frac{k^{5} m^{2}}{k^{- 2} {(m^{- 2})}^{- 5}}$
209502	Solve for x	8+(1/x-2)=16	$8 + (\frac{1}{x} - 2) = 16$
209503	Solve the Inequality for w	P=2l+2w	$P = 2 l + 2 w$
209504	Evaluate Using the Given Value	When m=0 and n=12 ; the value of the expression 10m+10n is	When $m = 0$ and $n = 12$ ; the value of the expression $10 m + 10 n$ is
209505	Find the Domain and Range	f(x)=x/( square root of x-25)	$f (x) = \frac{x}{\sqrt{x - 25}}$
209506	Solve the System of Equations	2y+x=-15 x=3y	$2 y + x = - 15$ $x = 3 y$
209507	Solve for p	p = square root of 2-p	$p = \sqrt{2 - p}$
209508	Solve for y	y=5*2^0	$y = 5 \cdot 2^{0}$
209509	Graph	-2x-3<=y y-1<1/2x	$- 2 x - 3 \leq y$ $y - 1 < \frac{1}{2} x$
209510	Solve for x	1-(4-(5-x))=3x-(4+x)	$1 - (4 - (5 - x)) = 3 x - (4 + x)$
209511	Simplify	(-12n^7p^5(n^2p^4))/(36n^6p^7)	$\frac{- 12 n^{7} p^{5} (n^{2} p^{4})}{36 n^{6} p^{7}}$
209512	Solve for x	\|3x-1\|=2\|3-x\|	$\| 3 x - 1 \| = 2 \| 3 - x \|$
209513	Write the Fraction in Simplest Form	((4t)^4)/(5t)	$\frac{{(4 t)}^{4}}{5 t}$
209514	Solve for z	8/z-z=4	$\frac{8}{z} - z = 4$
209515	Find the LCM	y^2+2y-24 , y^2-16 , 2y	$y^{2} + 2 y - 24$ , $y^{2} - 16$ , $2 y$
209516	Graph	(2,45 degrees )	$(2, 45 °)$
209517	Simplify	(r^(2/5)s)^5	${(r^{\frac{2}{5}} s)}^{5}$
209518	Find the Domain and Range	f(x)=arctan(x+1)	$f (x) = \arctan (x + 1)$
209519	Simplify	(2/3c^4d^-5)*(3c^2d)^3	$(\frac{2}{3} c^{4} d^{- 5}) \cdot {(3 c^{2} d)}^{3}$
209520	Solve the System of Equations	3x+4y=36 y=-1/2x+8	$3 x + 4 y = 36$ $y = - \frac{1}{2} x + 8$
209521	Solve for x	(4x)/(5x)=(4x+8)/(6x-10)	$\frac{4 x}{5 x} = \frac{4 x + 8}{6 x - 10}$
209522	Multiply	(-3x+21)/(-2x-4)*(x^2-16)/(x-7)	$\frac{- 3 x + 21}{- 2 x - 4} \cdot \frac{x^{2} - 16}{x - 7}$
209523	Simplify the Radical Expression	(6- square root of 3)/(2+ square root of 7)	$\frac{6 - \sqrt{3}}{2 + \sqrt{7}}$
209524	Simplify	arcsin(cos(-pi/4))	$\arcsin (\cos (- \frac{π}{4}))$
209525	Simplify	(x^2-3)-(-7x^2+4x+2)	$(x^{2} - 3) - (- 7 x^{2} + 4 x + 2)$
209526	Simplify	(x+5)/(x^3-25x)*(2x^3-11x^2+5x)	$\frac{(x + 5)}{(x^{3} - 25 x)} \cdot (2 x^{3} - 11 x^{2} + 5 x)$
209527	Factor	x^4-5x^3+4x^2-16x^2+80x-64	$x^{4} - 5 x^{3} + 4 x^{2} - 16 x^{2} + 80 x - 64$
209528	Solve for n	1/2n+3<5	$\frac{1}{2} n + 3 < 5$
209529	Simplify the Radical Expression	7/(8 square root of 7)	$\frac{7}{8 \sqrt{7}}$
209530	Solve for x	2(4x+5)-3=5x(2+1)	$2 (4 x + 5) - 3 = 5 x (2 + 1)$
209531	Write as a Single Logarithm	3* log base 2 of p+7* log base 2 of q	$3 \cdot \log_{2} (p) + 7 \cdot \log_{2} (q)$
209532	Solve for x	(x+2)/(x-2)=(2x+4)/(x+1)	$\frac{x + 2}{x - 2} = \frac{2 x + 4}{x + 1}$
209533	Simplify the Radical Expression	( square root of 2)/( cube root of 2)	$\frac{\sqrt{2}}{\sqrt[3]{2}}$
209534	Evaluate	-( square root of 2)/2*2/( square root of 2)	$- \frac{\sqrt{2}}{2} \cdot \frac{2}{\sqrt{2}}$
209535	Find the Product	(x^2-4x+16)(x+4)	$(x^{2} - 4 x + 16) (x + 4)$
209536	Solve for b	(1+ square root of 3i)^2=a+ib	${(1 + \sqrt{3} i)}^{2} = a + i b$
209537	Solve the Inequality for x	5-x<2(x-3)+5	$5 - x < 2 (x - 3) + 5$
209538	Simplify	cube root of square root of x^6	$\sqrt[3]{\sqrt{x^{6}}}$
209539	Find the Domain and Range	f(x)=1/3 square root of x-2	$f (x) = \frac{1}{3} \sqrt{x - 2}$
209540	Solve for x	6cos(x)-1=2	$6 \cos (x) - 1 = 2$
209541	Simplify	12/(4-2 square root of 2)	$\frac{12}{4 - 2 \sqrt{2}}$
209542	Simplify	(6x+21)/(x^2+5x+4)-5/(x+1)	$\frac{6 x + 21}{x^{2} + 5 x + 4} - \frac{5}{x + 1}$
209543	Graph	y<=0 x<=0 y>=-x-1	$y \leq 0$ $x \leq 0$ $y \geq - x - 1$
209544	Simplify	(( square root of 10+ square root of 15+ square root of 5)/(2+ square root of 6+ square root of 2))^2	${(\frac{\sqrt{10} + \sqrt{15} + \sqrt{5}}{2 + \sqrt{6} + \sqrt{2}})}^{2}$
209545	Find the Quotient	(x^2-3x-18)÷(x-6)	$(x^{2} - 3 x - 18) \div (x - 6)$
209546	Factor	3a^3+6a^2b+3a^2+6ab	$3 a^{3} + 6 a^{2} b + 3 a^{2} + 6 a b$
209547	Simplify the Radical Expression	1/( square root of 5x)	$\frac{1}{\sqrt{5 x}}$
209548	Solve for m	3(-8m-15)-15=20-20m	$3 (- 8 m - 15) - 15 = 20 - 20 m$
209549	Solve Using the Quadratic Formula	5=(3+ square root of 9-4y)/2	$5 = \frac{3 + \sqrt{9 - 4 y}}{2}$
209550	Find the x and y Intercepts	P(x)=-2(x-3)(x-11)	$P (x) = - 2 (x - 3) (x - 11)$
209551	Simplify	(1+i)^5(1-i)^5	${(1 + i)}^{5} {(1 - i)}^{5}$
209552	Simplify the Radical Expression	fourth root of 1/81	$\sqrt[4]{\frac{1}{81}}$
209553	Evaluate	fourth root of 16x^12	$\sqrt[4]{16 x^{12}}$
209554	Solve for b	2/3-5x=bx+1/3	$\frac{2}{3} - 5 x = b x + \frac{1}{3}$
209555	Simplify	(3x^5)(4x^(5/6))	$(3 x^{5}) (4 x^{\frac{5}{6}})$
209556	Find the GCF	11ab+32ab	$11 a b + 32 a b$
209557	Graph	y=4/3x-3 y=1	$y = \frac{4}{3} x - 3$ $y = 1$
209558	Divide Using Long Polynomial Division	(7x^8+8x^4+x^2)/x	$\frac{7 x^{8} + 8 x^{4} + x^{2}}{x}$
209559	Simplify	(18÷2*3)/(5-2)	$\frac{18 \div 2 \cdot 3}{5 - 2}$
209560	Write in Standard Form	6x-4x^4+5^7	$6 x - 4 x^{4} + 5^{7}$
209561	Identify the Sequence	0 , 1/4 , 1/2	$0$ , $\frac{1}{4}$ , $\frac{1}{2}$
209562	Solve by Factoring	-4n^2+6n-16=-5n^2	$- 4 n^{2} + 6 n - 16 = - 5 n^{2}$
209563	Find the Domain and Range	y=3sec(3x)+2	$y = 3 \sec (3 x) + 2$
209564	Evaluate	7/3*(2/3-2/9)	$\frac{7}{3} \cdot (\frac{2}{3} - \frac{2}{9})$
209565	Evaluate	((6.6710^-11)(5.9710^24))/((6.38*10^6)^2)	$\frac{(6.67 \times 10^{- 11}) (5.97 \times 10^{24})}{{(6.38 \times 10^{6})}^{2}}$
209566	Solve for a	a+3 1/2=-1 1/9	$a + 3 \frac{1}{2} = - 1 \frac{1}{9}$
209567	Solve by Substitution	x=16-4y and 3x+4y=8	$x = 16 - 4 y$ and $3 x + 4 y = 8$
209568	Evaluate	1/5(15+10k)	$\frac{1}{5} (15 + 10 k)$
209569	Evaluate	((-6)^-5)/(3^-2)	$\frac{{(- 6)}^{- 5}}{3^{- 2}}$
209570	Solve for A	P=0.006A^2-0.02A+120	$P = 0.006 A^{2} - 0.02 A + 120$
209571	Solve for X	4X+Y=9	$4 X + Y = 9$
209572	Solve for x	2(3x+4y)=4x+12y	$2 (3 x + 4 y) = 4 x + 12 y$
209573	Solve by Addition/Elimination	3(2x-y)=24 -6x+8y=-14	$3 (2 x - y) = 24$ $- 6 x + 8 y = - 14$
209574	Find the Roots (Zeros)	a^3-4a^2+4a=0	$a^{3} - 4 a^{2} + 4 a = 0$
209575	Subtract	-6x^2-2x+5-2x^2+8	$- 6 x^{2} - 2 x + 5 - 2 x^{2} + 8$
209576	Write in Exponential Form	square root of cube root of 64	$\sqrt{\sqrt[3]{64}}$
209577	Solve for b	-165=-3-6b^3	$- 165 = - 3 - 6 b^{3}$
209578	Solve for x	3/2=(-7x+9)/(3x)	$\frac{3}{2} = \frac{- 7 x + 9}{3 x}$
209579	Solve for R	V = square root of (GM)/R	$V = \sqrt{\frac{G M}{R}}$
209580	Solve by Substitution	y=-2x+6 3y-x+3=0	$y = - 2 x + 6$ $3 y - x + 3 = 0$
209581	Solve for x	-7+((4x+2)/2)=8	$- 7 + (\frac{4 x + 2}{2}) = 8$
209582	Find the Roots (Zeros)	x^2=4x+5	$x^{2} = 4 x + 5$
209583	Solve for y	y=1/4(4)^x for x=3/2	$y = \frac{1}{4} {(4)}^{x}$ for $x = \frac{3}{2}$
209584	Simplify the Radical Expression	( cube root of 5)^3	${(\sqrt[3]{5})}^{3}$
209585	Solve by Factoring	-1.2(x+0.518)(x-1.718)=0	$- 1.2 (x + 0.518) (x - 1.718) = 0$
209586	Solve by Graphing	y=3x-3 x+y=5	$y = 3 x - 3$ $x + y = 5$
209587	Simplify	(x^2-3x^3+6x-2)+(5x-4x^2-4)	$(x^{2} - 3 x^{3} + 6 x - 2) + (5 x - 4 x^{2} - 4)$
209588	Evaluate	square root of -3^2+-4^2	$\sqrt{- 3^{2} + - 4^{2}}$
209589	Graph	y<=-x-4 -x-y<=-4	$y \leq - x - 4$ $- x - y \leq - 4$
209590	Evaluate	(1.010^-15)/(4.210^-7)	$\frac{1 \times 10^{- 15}}{4.2 \times 10^{- 7}}$
209591	Solve for x	(-9x-54)^(1/3)=-2x+3	${(- 9 x - 54)}^{\frac{1}{3}} = - 2 x + 3$
209592	Find the Equation Using Slope-Intercept Form	point: (9,3) ; slope: 4/9	point: $(9, 3)$ ; slope: $\frac{4}{9}$
209593	Solve the System of Equations	y = square root of x-7 y=-x-1	$y = \sqrt{x} - 7$ $y = - x - 1$
209594	Simplify the Radical Expression	fourth root of 64x^4y^16	$\sqrt[4]{64 x^{4} y^{16}}$
209595	Solve for x	(2 square root of x)/3+1=7	$\frac{2 \sqrt{x}}{3} + 1 = 7$
209596	Solve for y	x+y=9 x=5	$x + y = 9$ $x = 5$
209597	Simplify/Condense	2/3* log base 2 of 27+5/2* log base 2 of 4	$\frac{2}{3} \cdot \log_{2} (27) + \frac{5}{2} \cdot \log_{2} (4)$
209598	Find the Exact Value	cos(90 degrees )+cot(45 degrees )	$\cos (90 °) + \cot (45 °)$
209599	Simplify	-7x-9 from -4x^2+3x-5	$- 7 x - 9$ from $- 4 x^{2} + 3 x - 5$
209600	Simplify	3/(3-2 square root of 3)	$\frac{3}{3 - 2 \sqrt{3}}$