Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
231201	Solve for m	log base m of 81=4	$\log_{m} (81) = 4$
231202	Simplify	(1/8)^x+(1/8)^(x-2)	${(\frac{1}{8})}^{x} + {(\frac{1}{8})}^{x - 2}$
231203	Factor	25x^2+100-100x	$25 x^{2} + 100 - 100 x$
231204	Solve for n	5^(3n)=125	$5^{3 n} = 125$
231205	Simplify	((3x^2)/10)/((9x^2)/4)	$\frac{\frac{3 x^{2}}{10}}{\frac{9 x^{2}}{4}}$
231206	Graph	y = log base 2 of \|x\|	$y = \log_{2} (\| x \|)$
231207	Solve for y	y=(-2+2)^2	$y = {(- 2 + 2)}^{2}$
231208	Solve the Inequality for z	\|2z-9\|<=1	$\| 2 z - 9 \| \leq 1$
231209	Factor	3x^3+6x^2-6x-36	$3 x^{3} + 6 x^{2} - 6 x - 36$
231210	Factor	F(x)=x^2+2x	$F (x) = x^{2} + 2 x$
231211	Simplify	fifth root of h^6 cube root of h	$\sqrt[5]{h^{6}} \sqrt[3]{h}$
231212	Simplify	fifth root of fourth root of cube root of square root of 8	$\sqrt[5]{\sqrt[4]{\sqrt[3]{\sqrt{8}}}}$
231213	Find the x and y Intercepts	f(x)=-3/4x^-5	$f (x) = - \frac{3}{4} x^{- 5}$
231214	Graph	f(x)=-3/4x^-5	$f (x) = - \frac{3}{4} x^{- 5}$
231215	Solve for x	-8/(x+6)=3/(2x)	$\frac{- 8}{x + 6} = \frac{3}{2 x}$
231216	Graph	f(x)=-2/3(x-6)+4,x<6; 2/3(x-6)+4,x>=6	$f (x) = {\begin{cases} - \frac{2}{3} (x - 6) + 4, x < 6 \\ \frac{2}{3} (x - 6) + 4, x \geq 6 \end{cases}$
231217	Evaluate	-9(z+8)=-9z-72	$- 9 (z + 8) = - 9 z - 72$
231218	Convert to Interval Notation	5(3-2x)>=10	$5 (3 - 2 x) \geq 10$
231219	Simplify	(5w^2)/( square root of 30w^9)	$\frac{5 w^{2}}{\sqrt{30 w^{9}}}$
231220	Solve for x	(3x)/(x+2)+2/(x-1)=5/(x^2+x-2)	$\frac{3 x}{x + 2} + \frac{2}{x - 1} = \frac{5}{x^{2} + x - 2}$
231221	Simplify	cube root of 27* cube root of 729	$\sqrt[3]{27} \cdot \sqrt[3]{729}$
231222	Solve for x	x^3+1=x^2+x	$x^{3} + 1 = x^{2} + x$
231223	Graph	x^2=4x	$x^{2} = 4 x$
231224	Write the Fraction in Simplest Form	((3z^-4)^-2)/(2v^-2z^-4)	$\frac{{(3 z^{- 4})}^{- 2}}{2 v^{- 2} z^{- 4}}$
231225	Simplify	( cube root of 7^2)/( square root of 7)	$\frac{\sqrt[3]{7^{2}}}{\sqrt{7}}$
231226	Find the Inverse	f^-1(x) = square root of x-2	$f^{- 1} (x) = \sqrt{x - 2}$
231227	Solve the System of Inequalities	y<-1/2x+1 y<=x-2	$y < - \frac{1}{2} x + 1$ $y \leq x - 2$
231228	Subtract	(6x-7)/4-(-7x-9)/4	$\frac{6 x - 7}{4} - \frac{- 7 x - 9}{4}$
231229	Rationalize the Denominator	(2x)/( square root of 8x^2)	$\frac{2 x}{\sqrt{8 x^{2}}}$
231230	Evaluate	(5^2y^-10)/(5^-1z^0x^-5)	$\frac{5^{2} y^{- 10}}{5^{- 1} z^{0} x^{- 5}}$
231231	Evaluate	(x-5)^2=81	${(x - 5)}^{2} = 81$
231232	Graph	y=a^(-x)	$y = a^{- x}$
231233	Solve for x	x^2-1=(x-1)(x+1)	$x^{2} - 1 = (x - 1) (x + 1)$
231234	Evaluate	-2(-2^3)-3(-2^2)+4	$- 2 \cdot (- 2^{3}) - 3 \cdot (- 2^{2}) + 4$
231235	Solve for x	3xe^x+x^2e^x=0	$3 x e^{x} + x^{2} e^{x} = 0$
231236	Simplify	2/30+1/7	$\frac{2}{30} + \frac{1}{7}$
231237	Solve the Inequality for x	6x^2-11x-1<-6x+3	$6 x^{2} - 11 x - 1 < - 6 x + 3$
231238	Simplify	square root of (cot(x)^2+1)/(tan(x)^2+1)	$\sqrt{\frac{\cot^{2} (x) + 1}{\tan^{2} (x) + 1}}$
231239	Solve the System of Inequalities	2x+4<16 and -2x+8<=14	$2 x + 4 < 16$ and $- 2 x + 8 \leq 14$
231240	Simplify	(x+1)^2-x^2	${(x + 1)}^{2} - x^{2}$
231241	Solve for x	x+2=4 square root of x-2	$x + 2 = 4 \sqrt{x - 2}$
231242	Find the Roots (Zeros)	x^4-2x^2	$x^{4} - 2 x^{2}$
231243	Evaluate	20% of 400	$20 %$ of $400$
231244	Solve for n	82n+26+74n=59+9(27n+93)	$82 n + 26 + 74 n = 59 + 9 (27 n + 93)$
231245	Factor	8-8x=(3x+1)(x-1)	$8 - 8 x = (3 x + 1) (x - 1)$
231246	Solve for t	(t-2)(t+5)=t-2(t+5)	$(t - 2) (t + 5) = t - 2 (t + 5)$
231247	Evaluate Using the Given Value	2x+3+x^2 ; for x=4	$2 x + 3 + x^{2}$ ; for $x = 4$
231248	Simplify	-4 square root of 28x+ square root of 7x^3	$- 4 \sqrt{28 x} + \sqrt{7 x^{3}}$
231249	Simplify	x/(x+2)+2/(x^2-4)-x/(x-2)	$\frac{x}{x + 2} + \frac{2}{x^{2} - 4} - \frac{x}{x - 2}$
231250	Multiply	8/(n-2)*(5n+50)/(n+10)	$\frac{8}{n - 2} \cdot \frac{5 n + 50}{n + 10}$
231251	Evaluate	3(2/3p+3-1/3p-5)	$3 (\frac{2}{3} p + 3 - \frac{1}{3} p - 5)$
231252	Convert to a Percentage	What percent of 300 is 51 ?	What percent of $300$ is $51$ ?
231253	Solve for j	3/4j-2=-8	$\frac{3}{4} j - 2 = - 8$
231254	Solve for x	-1 = square root of 6x+21-x	$- 1 = \sqrt{6 x + 21} - x$
231255	Graph	f(x,y)=1-3x+2y	$f (x, y) = 1 - 3 x + 2 y$
231256	Multiply	3a^3(8a+b)	$3 a^{3} (8 a + b)$
231257	Simplify the Radical Expression	2^(1/2)*2^3	$2^{\frac{1}{2}} \cdot 2^{3}$
231258	Solve for x	3=(5 1/3)(x1/3)	$3 = (5 \frac{1}{3}) (x \frac{1}{3})$
231259	Evaluate	2pi(3)(1)	$2 π (3) (1)$
231260	Solve for x	2(9-3(-2x-4))=12x+42	$2 (9 - 3 (- 2 x - 4)) = 12 x + 42$
231261	Graph	2(x-3)-5x	$2 (x - 3) - 5 x$
231262	Graph	Graph y=0	Graph $y = 0$
231263	Solve the Inequality for x	3x-2=4	$3 x - 2 = 4$
231264	Convert to a Decimal	-40deg	$- 40$ degrees
231265	Find the Roots (Zeros)	h(x)=(2x-3)(x+5)(5x-2)	$h (x) = (2 x - 3) (x + 5) (5 x - 2)$
231266	Find the Domain and Range	f(x)=-1/2* natural log of x+3	$f (x) = - \frac{1}{2} \cdot \ln (x + 3)$
231267	Find the Equation Using Two Points	(-9,7) and (-6,-3)	$(- 9, 7)$ and $(- 6, - 3)$
231268	Simplify	2m+6(9n+m)	$2 m + 6 (9 n + m)$
231269	Round to the Nearest Hundredth	3/4	$\frac{3}{4}$
231270	Find the Domain and Range	y=4 cube root of x-4+5	$y = 4 \sqrt[3]{x - 4} + 5$
231271	Simplify	square root of 18(5- square root of 2)-11 square root of 2	$\sqrt{18} (5 - \sqrt{2}) - 11 \sqrt{2}$
231272	Simplify the Radical Expression	square root of 121- square root of -192- square root of 4+ square root of -48	$\sqrt{121} - \sqrt{- 192} - \sqrt{4} + \sqrt{- 48}$
231273	Evaluate	3(28)+7	$3 \cdot (2 \cdot 8) + 7$
231274	Solve for n	-n/3-10=0	$- \frac{n}{3} - 10 = 0$
231275	Convert to a Decimal	-250deg	$- 250$ degrees
231276	Solve for x	\|x\|+\|x-3\|=2	$\| x \| + \| x - 3 \| = 2$
231277	Solve the Rational Equation for a	( cube root of x)/(x^(1/3))=x^a	$\frac{\sqrt[3]{x}}{x^{\frac{1}{3}}} = x^{a}$
231278	Evaluate	60% of 4/5	$60 %$ of $\frac{4}{5}$
231279	Simplify	9/(7x)14/3(18x)/6	$\frac{9}{7 x} \cdot \frac{14}{3} \cdot \frac{18 x}{6}$
231280	Simplify	((a^2-7a-18)/(4a^3))÷((a^2-4a-45)/(2a^3-4a^2))*(a^2+3a-10)/(a^2-4a+4)	$\frac{a^{2} - 7 a - 18}{4 a^{3}} \div \frac{a^{2} - 4 a - 45}{2 a^{3} - 4 a^{2}} \cdot \frac{a^{2} + 3 a - 10}{a^{2} - 4 a + 4}$
231281	Expand the Logarithmic Expression	log of cube root of 7x^4	$\log (\sqrt[3]{7 x^{4}})$
231282	Write in Standard Form	0=3x^2-12x-15	$0 = 3 x^{2} - 12 x - 15$
231283	Solve by Graphing	3x-y=-6 y=x+4	$3 x - y = - 6$ $y = x + 4$
231284	Rationalize the Denominator	( square root of 2)/( square root of 18)	$\frac{\sqrt{2}}{\sqrt{18}}$
231285	Simplify	(2x+3y-4)(-3x+y+2)	$(2 x + 3 y - 4) (- 3 x + y + 2)$
231286	Solve for y	2y-6-4x+12=18	$2 y - 6 - 4 x + 12 = 18$
231287	Solve for x	3+ square root of 3x+12<=9	$3 + \sqrt{3 x + 12} \leq 9$
231288	Combine Like Terms	4x-6-4x	$4 x - 6 - 4 x$
231289	Graph	y=2-7/2 square root of 1-x	$y = 2 - \frac{7}{2} \sqrt{1 - x}$
231290	Multiply	-7x^3y^5(x^3y^4)	$- 7 x^{3} y^{5} (x^{3} y^{4})$
231291	Simplify	x-x/(y^2)	$x - \frac{x}{y^{2}}$
231292	Simplify	3^7*1/(3^4)	$3^{7} \cdot \frac{1}{3^{4}}$
231293	Simplify	simplify 9x^0y^-3	simplify $9 x^{0} y^{- 3}$
231294	Solve for w	w-5/8=-1/4	$w - \frac{5}{8} = - \frac{1}{4}$
231295	Solve the Inequality for k	4k-(k-2)>=7k-26	$4 k - (k - 2) \geq 7 k - 26$
231296	Solve for w	w-(-2/3)=1.06	$w - (- \frac{2}{3}) = 1.06$
231297	Graph	y=3sin(3/4)(x+(2pi)/3)-5	$y = 3 \sin (\frac{3}{4}) (x + \frac{2 π}{3}) - 5$
231298	Find the Holes in the Graph	f(x)=(3x^2+6x)/(x^2+x)	$f (x) = \frac{3 x^{2} + 6 x}{x^{2} + x}$
231299	Solve for x	4^(x+1)-32=0	$4^{x + 1} - 32 = 0$
231300	Evaluate	(4^9)/(4^3*4^4)	$\frac{4^{9}}{4^{3} \cdot 4^{4}}$