Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
39301	Evaluate	20% of 400	$20 %$ of $400$
39302	Solve for n	82n+26+74n=59+9(27n+93)	$82 n + 26 + 74 n = 59 + 9 (27 n + 93)$
39303	Factor	8-8x=(3x+1)(x-1)	$8 - 8 x = (3 x + 1) (x - 1)$
39304	Solve for t	(t-2)(t+5)=t-2(t+5)	$(t - 2) (t + 5) = t - 2 (t + 5)$
39305	Evaluate Using the Given Value	2x+3+x^2 ; for x=4	$2 x + 3 + x^{2}$ ; for $x = 4$
39306	Simplify	-4 square root of 28x+ square root of 7x^3	$- 4 \sqrt{28 x} + \sqrt{7 x^{3}}$
39307	Simplify	x/(x+2)+2/(x^2-4)-x/(x-2)	$\frac{x}{x + 2} + \frac{2}{x^{2} - 4} - \frac{x}{x - 2}$
39308	Multiply	8/(n-2)*(5n+50)/(n+10)	$\frac{8}{n - 2} \cdot \frac{5 n + 50}{n + 10}$
39309	Evaluate	3(2/3p+3-1/3p-5)	$3 (\frac{2}{3} p + 3 - \frac{1}{3} p - 5)$
39310	Find the Derivative - d/dx	y=( natural log of x)/(e^x)	$y = \frac{\ln (x)}{e^{x}}$
39311	Convert to a Percentage	What percent of 300 is 51 ?	What percent of $300$ is $51$ ?
39312	Find Amplitude, Period, and Phase Shift	y=1/4cos((2x)/7+1/3)	$y = \frac{1}{4} \cos (\frac{2 x}{7} + \frac{1}{3})$
39313	Solve for j	3/4j-2=-8	$\frac{3}{4} j - 2 = - 8$
39314	Solve for x	-1 = square root of 6x+21-x	$- 1 = \sqrt{6 x + 21} - x$
39315	Graph	f(x,y)=1-3x+2y	$f (x, y) = 1 - 3 x + 2 y$
39316	Multiply	3a^3(8a+b)	$3 a^{3} (8 a + b)$
39317	Evaluate the Integral	integral of (2/( square root of x^3)) with respect to x	$\int (\frac{2}{\sqrt{x^{3}}}) d x$
39318	Solve for θ in Degrees	cos(theta)^2=1/2	$\cos^{2} (θ) = \frac{1}{2}$
39319	Simplify the Radical Expression	2^(1/2)*2^3	$2^{\frac{1}{2}} \cdot 2^{3}$
39320	Solve for x	3=(5 1/3)(x1/3)	$3 = (5 \frac{1}{3}) (x \frac{1}{3})$
39321	Evaluate	2pi(3)(1)	$2 π (3) (1)$
39322	Solve for x	2(9-3(-2x-4))=12x+42	$2 (9 - 3 (- 2 x - 4)) = 12 x + 42$
39323	Graph	2(x-3)-5x	$2 (x - 3) - 5 x$
39324	Graph	Graph y=0	Graph $y = 0$
39325	Solve the Inequality for x	3x-2=4	$3 x - 2 = 4$
39326	Find the Antiderivative	f(x)=x+cos(x)	$f (x) = x + \cos (x)$
39327	Find the Integral	1/( cube root of x^2)	$\frac{1}{\sqrt[3]{x^{2}}}$
39328	Convert to a Decimal	-40deg	$- 40$ degrees
39329	Evaluate the Function	1/(10,0,0)	$\frac{1}{10, 0, 0}$
39330	Find the Roots (Zeros)	h(x)=(2x-3)(x+5)(5x-2)	$h (x) = (2 x - 3) (x + 5) (5 x - 2)$
39331	Evaluate Using Summation Formulas	limit as n approaches infinity of sum from i=1 to n of ((2i)/n)(2/n)	$lim_{n \to \infty} \sum_{i = 1}^{n} (\frac{2 i}{n}) (\frac{2}{n})$
39332	Find the Domain and Range	f(x)=-1/2* natural log of x+3	$f (x) = - \frac{1}{2} \cdot \ln (x + 3)$
39333	Find the Domain	square root of x^2-4	$\sqrt{x^{2}} - 4$
39334	Find the Equation Using Two Points	(-9,7) and (-6,-3)	$(- 9, 7)$ and $(- 6, - 3)$
39335	Simplify	2m+6(9n+m)	$2 m + 6 (9 n + m)$
39336	Round to the Nearest Hundredth	3/4	$\frac{3}{4}$
39337	Find the Domain and Range	y=4 cube root of x-4+5	$y = 4 \sqrt[3]{x - 4} + 5$
39338	Simplify	square root of 18(5- square root of 2)-11 square root of 2	$\sqrt{18} (5 - \sqrt{2}) - 11 \sqrt{2}$
39339	Simplify the Radical Expression	square root of 121- square root of -192- square root of 4+ square root of -48	$\sqrt{121} - \sqrt{- 192} - \sqrt{4} + \sqrt{- 48}$
39340	Evaluate	3(28)+7	$3 \cdot (2 \cdot 8) + 7$
39341	Solve for n	-n/3-10=0	$- \frac{n}{3} - 10 = 0$
39342	Determine if Continuous	f(x)=4e^(x-2)+ax-3a if x<2; x^3+ax^2+5 if x>=2	$f (x) = {\begin{cases} 4 e^{x - 2} + a x - 3 a & x < 2 \\ x^{3} + a x^{2} + 5 & x \geq 2 \end{cases}$
39343	Convert to a Decimal	-250deg	$- 250$ degrees
39344	Find the Antiderivative	1/( square root of 1+x)	$\frac{1}{\sqrt{1 + x}}$
39345	Solve for x	\|x\|+\|x-3\|=2	$\| x \| + \| x - 3 \| = 2$
39346	Solve the Rational Equation for a	( cube root of x)/(x^(1/3))=x^a	$\frac{\sqrt[3]{x}}{x^{\frac{1}{3}}} = x^{a}$
39347	Evaluate	60% of 4/5	$60 %$ of $\frac{4}{5}$
39348	Simplify	9/(7x)14/3(18x)/6	$\frac{9}{7 x} \cdot \frac{14}{3} \cdot \frac{18 x}{6}$
39349	Simplify	((a^2-7a-18)/(4a^3))÷((a^2-4a-45)/(2a^3-4a^2))*(a^2+3a-10)/(a^2-4a+4)	$\frac{a^{2} - 7 a - 18}{4 a^{3}} \div \frac{a^{2} - 4 a - 45}{2 a^{3} - 4 a^{2}} \cdot \frac{a^{2} + 3 a - 10}{a^{2} - 4 a + 4}$
39350	Expand the Logarithmic Expression	log of cube root of 7x^4	$\log (\sqrt[3]{7 x^{4}})$
39351	Write in Standard Form	0=3x^2-12x-15	$0 = 3 x^{2} - 12 x - 15$
39352	Solve by Graphing	3x-y=-6 y=x+4	$3 x - y = - 6$ $y = x + 4$
39353	Rationalize the Denominator	( square root of 2)/( square root of 18)	$\frac{\sqrt{2}}{\sqrt{18}}$
39354	Simplify	(2x+3y-4)(-3x+y+2)	$(2 x + 3 y - 4) (- 3 x + y + 2)$
39355	Solve for y	2y-6-4x+12=18	$2 y - 6 - 4 x + 12 = 18$
39356	Solve for x	3+ square root of 3x+12<=9	$3 + \sqrt{3 x + 12} \leq 9$
39357	Combine Like Terms	4x-6-4x	$4 x - 6 - 4 x$
39358	Graph	y=2-7/2 square root of 1-x	$y = 2 - \frac{7}{2} \sqrt{1 - x}$
39359	Multiply	-7x^3y^5(x^3y^4)	$- 7 x^{3} y^{5} (x^{3} y^{4})$
39360	Simplify	x-x/(y^2)	$x - \frac{x}{y^{2}}$
39361	Simplify	3^7*1/(3^4)	$3^{7} \cdot \frac{1}{3^{4}}$
39362	Simplify	simplify 9x^0y^-3	simplify $9 x^{0} y^{- 3}$
39363	Solve for w	w-5/8=-1/4	$w - \frac{5}{8} = - \frac{1}{4}$
39364	Find the Derivative - d/dx	2sin(2x)^4-3sin(4x)^3	$2 \sin^{4} (2 x) - 3 \sin^{3} (4 x)$
39365	Solve the Inequality for k	4k-(k-2)>=7k-26	$4 k - (k - 2) \geq 7 k - 26$
39366	Solve for w	w-(-2/3)=1.06	$w - (- \frac{2}{3}) = 1.06$
39367	Graph	y=3sin(3/4)(x+(2pi)/3)-5	$y = 3 \sin (\frac{3}{4}) (x + \frac{2 π}{3}) - 5$
39368	Find the Holes in the Graph	f(x)=(3x^2+6x)/(x^2+x)	$f (x) = \frac{3 x^{2} + 6 x}{x^{2} + x}$
39369	Find the Domain	f(x)=1/(\|x\|+3)	$f (x) = \frac{1}{\| x \| + 3}$
39370	Solve for x	4^(x+1)-32=0	$4^{x + 1} - 32 = 0$
39371	Evaluate	(4^9)/(4^3*4^4)	$\frac{4^{9}}{4^{3} \cdot 4^{4}}$
39372	Simplify	(a^2+8a-5a-40)/(a^2-25)	$\frac{a^{2} + 8 a - 5 a - 40}{a^{2} - 25}$
39373	Simplify	(-( square root of 2)/2)^2	${(- \frac{\sqrt{2}}{2})}^{2}$
39374	Solve the Absolute Value Inequality for x	2-3\|1-5x\|=-31	$2 - 3 \| 1 - 5 x \| = - 31$
39375	Evaluate	((6^0)^4)/(6^5)	$\frac{{(6^{0})}^{4}}{6^{5}}$
39376	Simplify	square root of (121x^3)/(49x)	$\sqrt{\frac{121 x^{3}}{49 x}}$
39377	Simplify the Radical Expression	square root of 64+ square root of -48+ square root of 25+ square root of -75	$\sqrt{64} + \sqrt{- 48} + \sqrt{25} + \sqrt{- 75}$
39378	Find the Derivative - d/dx	y=-7x^-5+4x^2-19x+2	$y = - 7 x^{- 5} + 4 x^{2} - 19 x + 2$
39379	Find the Derivative - d/dt	(70t)/((3t^2+8)^2)	$\frac{70 t}{{(3 t^{2} + 8)}^{2}}$
39380	Find the Derivative - d/dx	y=x^n(a+bx)^m	$y = x^{n} {(a + b x)}^{m}$
39381	Simplify	(x^15y^10z^-50)^(1/5)	${(x^{15} y^{10} z^{- 50})}^{\frac{1}{5}}$
39382	Evaluate	cube root of x^2=9	$\sqrt[3]{x^{2}} = 9$
39383	Multiply	square root of 10x^2* square root of 5x	$\sqrt{10 x^{2}} \cdot \sqrt{5 x}$
39384	Solve the Inequality for x	x^2-8x+12<=y	$x^{2} - 8 x + 12 \leq y$
39385	Evaluate	(3xy)^2*(-4x^3y^2)^3	${(3 x y)}^{2} \cdot {(- 4 x^{3} y^{2})}^{3}$
39386	Solve for x	7-4x+2x=9+3x+8	$7 - 4 x + 2 x = 9 + 3 x + 8$
39387	Simplify	( square root of 3)/( square root of xy)	$\frac{\sqrt{3}}{\sqrt{x y}}$
39388	Solve for x	2 cube root of x-3+15=10	$2 \sqrt[3]{x - 3 + 15} = 10$
39389	Evaluate	3*(9-(4+2)÷2)	$3 \times (9 - (4 + 2) \div 2)$
39390	Evaluate	-(2)(-3)^2	$- (2) {(- 3)}^{2}$
39391	Solve the Inequality for x	1/4x<-(3/2x+6)+x	$\frac{1}{4} x < - (\frac{3}{2} x + 6) + x$
39392	Simplify	5s^6t^2+6st^9-8s^6t^2-6t^7	$5 s^{6} t^{2} + 6 s t^{9} - 8 s^{6} t^{2} - 6 t^{7}$
39393	Solve for t	5t+1>=-t-1	$5 t + 1 \geq - t - 1$
39394	Simplify	(a^m+b^n)(a^m-b^n)	$(a^{m} + b^{n}) (a^{m} - b^{n})$
39395	Solve for w	w-1/2=5/8	$w - \frac{1}{2} = \frac{5}{8}$
39396	Solve for x	square root of x+28-2 square root of x+1=0	$\sqrt{x + 28} - 2 \sqrt{x + 1} = 0$
39397	Factor	x^2y^2+xy	$x^{2} y^{2} + x y$
39398	Find the Distance Between Two Points	(-3,5) and (7,-1)	$(- 3, 5)$ and $(7, - 1)$
39399	Evaluate	75% of 32	$75 %$ of $32$
39400	Find dy/dx	-y+2xy=-3x	$- y + 2 x y = - 3 x$