Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
41301	Simplify the Radical Expression	2/(1+ square root of 5)	$\frac{2}{1 + \sqrt{5}}$
41302	Solve the Rational Equation for x	3/(x+2)-1/x=1/(5x)	$\frac{3}{x + 2} - \frac{1}{x} = \frac{1}{5 x}$
41303	Solve for t	-8-5(10t+1)>=4t-10-9t	$- 8 - 5 (10 t + 1) \geq 4 t - 10 - 9 t$
41304	Solve the Function Operation	f(x)=(x^(1/3)+10)/3 ; find f^-1(x)	$f (x) = \frac{x^{\frac{1}{3}} + 10}{3}$ ; find $f^{- 1} (x)$
41305	Simplify	square root of x+ square root of y+x+3 square root of y	$\sqrt{x} + \sqrt{y} + x + 3 \sqrt{y}$
41306	Find the Roots (Zeros)	x^4+x^3-4x^2-4x	$x^{4} + x^{3} - 4 x^{2} - 4 x$
41307	Find the Maximum/Minimum Value	Find the minimum value of the parabola y=x^2	Find the minimum value of the parabola $y = x^{2}$
41308	Simplify	-5 cube root of 64+3 square root of 25+2 cube root of 512-3 cube root of -64	$- 5 \sqrt[3]{64} + 3 \sqrt{25} + 2 \sqrt[3]{512} - 3 \sqrt[3]{- 64}$
41309	Evaluate	3(x^2-1)-(x^2-7x+10)	$3 (x^{2} - 1) - (x^{2} - 7 x + 10)$
41310	Simplify	-1/3(7x-(x^2)/2)	$- \frac{1}{3} (7 x - \frac{x^{2}}{2})$
41311	Divide Using Long Polynomial Division	Use the long division method to find the result when x^3-4x^2-29x-24 is divided by x-8	Use the long division method to find the result when $x^{3} - 4 x^{2} - 29 x - 24$ is divided by $x - 8$
41312	Write in Exponential Form	(3)^4*(3)^3	${(3)}^{4} \cdot {(3)}^{3}$
41313	Find the Holes in the Graph	(x+10)/(2x^2+38x+180)	$\frac{x + 10}{2 x^{2} + 38 x + 180}$
41314	Evaluate the Limit	limit as x approaches c of square root of 12*f(x)	$lim_{x \to c} \sqrt{12 \cdot f (x)}$
41315	Simplify the Radical Expression	square root of 20+ square root of 48-3 square root of 125	$\sqrt{20} + \sqrt{48} - 3 \sqrt{125}$
41316	Evaluate	3/8*1 5/7	$\frac{3}{8} \cdot 1 \frac{5}{7}$
41317	Solve for n	n=-3+ square root of n+23	$n = - 3 + \sqrt{n + 23}$
41318	Solve the Rational Equation for v	11=2+ square root of 90-v	$11 = 2 + \sqrt{90 - v}$
41319	Simplify	(9x)/(x^2-25)(x^2+5x)/(2x-4)(x^2+3x-10)/(3x^4)	$\frac{9 x}{x^{2} - 25} \cdot \frac{x^{2} + 5 x}{2 x - 4} \cdot \frac{x^{2} + 3 x - 10}{3 x^{4}}$
41320	Solve the System of Equations	3x-2y=0 x-y=-1	$3 x - 2 y = 0$ $x - y = - 1$
41321	Solve for x	-7x-3=2-7x-5	$- 7 x - 3 = 2 - 7 x - 5$
41322	Evaluate Using the Given Value	Evaluate a-b if a=22 and b=5	Evaluate $a - b$ if $a = 22$ and $b = 5$
41323	Find the Second Derivative	e^(sin(x))	$e^{\sin (x)}$
41324	Simplify	2(5a-4a)+6a	$2 (5 a - 4 a) + 6 a$
41325	Solve for x	square root of 7x+5 = square root of 9x	$\sqrt{7 x + 5} = \sqrt{9 x}$
41326	Solve for x	x+2x+4x+5x+6x+8x+9x+10x=360	$x + 2 x + 4 x + 5 x + 6 x + 8 x + 9 x + 10 x = 360$
41327	Solve by Factoring	x^2(1/x)+x(1- natural log of x)-x- natural log of x = natural log of x	$x^{2} (\frac{1}{x}) + x (1 - \ln (x)) - x - \ln (x) = \ln (x)$
41328	Find the Antiderivative	1+1/x	$1 + \frac{1}{x}$
41329	Factor	b(x)=x^3+x^2-9x-9	$b (x) = x^{3} + x^{2} - 9 x - 9$
41330	Simplify	3 square root of 8/512	$3 \sqrt{\frac{8}{512}}$
41331	Solve for d	6d^(2/3)-11d^(1/3)-2=0	$6 d^{\frac{2}{3}} - 11 d^{\frac{1}{3}} - 2 = 0$
41332	Solve Using the Square Root Property	(x-14)^2+13=12	${(x - 14)}^{2} + 13 = 12$
41333	Simplify	(6x^(1/m))(2x^(1/2))	$(6 x^{\frac{1}{m}}) (2 x^{\frac{1}{2}})$
41334	Solve for x	(4x+12)/2=3x-5	$\frac{4 x + 12}{2} = 3 x - 5$
41335	Evaluate	-( square root of 2)^2-2 square root of 2+3	$- {(\sqrt{2})}^{2} - 2 \sqrt{2} + 3$
41336	Find the LCM	15 and 18	$15$ and $18$
41337	Find the Domain and Range	2-\|x-1\|	$2 - \| x - 1 \|$
41338	Simplify	(2x+3)x(4x+1)	$(2 x + 3) \cdot x \cdot (4 x + 1)$
41339	Find the Linearization at t(x)=x³-5x²-9x+45	t(x)=x^3-5x^2-9x+45 , x-5	$t (x) = x^{3} - 5 x^{2} - 9 x + 45$ , $x - 5$
41340	Find the Antiderivative	x^2*e^(x^3)	$x^{2} \cdot e^{x^{3}}$
41341	Find the Inverse	7(x-3)^(1/5)	$7 {(x - 3)}^{\frac{1}{5}}$
41342	Evaluate	6-(3x-2i)^2	$6 - {(3 x - 2 i)}^{2}$
41343	Simplify	( square root of a^3)/( square root of a)	$\frac{\sqrt{a^{3}}}{\sqrt{a}}$
41344	Verify the Identity	(sin(x)^2-cos(x)^2)/(sin(x)-cos(x))=sin(x)+cos(x)	$\frac{\sin^{2} (x) - \cos^{2} (x)}{\sin (x) - \cos (x)} = \sin (x) + \cos (x)$
41345	Multiply	(x^2-x-6)/(2x^2+x-6)*(2x^2+5x-12)/(x^2-9)	$\frac{x^{2} - x - 6}{2 x^{2} + x - 6} \cdot \frac{2 x^{2} + 5 x - 12}{x^{2} - 9}$
41346	Solve for x	-7/6-5/(x-1)=-3/(x-1)	$- \frac{7}{6} - \frac{5}{x - 1} = - \frac{3}{x - 1}$
41347	Simplify the Radical Expression	-3 square root of 5* square root of 20	$- 3 \sqrt{5} \cdot \sqrt{20}$
41348	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (5,4) and has a slope of 4/5 ?	What is the equation of the line that passes through the point $(5, 4)$ and has a slope of $\frac{4}{5}$ ?
41349	Solve for x	(x+3)/((x-4)^2(x^2-4))<=0	$\frac{x + 3}{{(x - 4)}^{2} (x^{2} - 4)} \leq 0$
41350	Simplify	1/2 square root of 48+2 square root of 27-4 square root of 12	$\frac{1}{2} \sqrt{48} + 2 \sqrt{27} - 4 \sqrt{12}$
41351	Find the Complex Conjugate	i+6i	$i + 6 i$
41352	Simplify	(x^2)/((x-y)^2)-(x+y)/(2x-2y)	$\frac{x^{2}}{{(x - y)}^{2}} - \frac{(x + y)}{2 x - 2 y}$
41353	Evaluate	(3x-1)/(9x-5)=(x+1)/(3x+1)	$\frac{3 x - 1}{9 x - 5} = \frac{x + 1}{3 x + 1}$
41354	Solve the Inequality for y	9y+5(y+3)<4y-35	$9 y + 5 (y + 3) < 4 y - 35$
41355	Find the Exact Value	cos((3pi)/4)cos((5pi)/12)-sin((3pi)/4)sin((5pi)/12)	$\cos (\frac{3 π}{4}) \cos (\frac{5 π}{12}) - \sin (\frac{3 π}{4}) \sin (\frac{5 π}{12})$
41356	Evaluate	cos(pi/2-x)sec(x)	$\cos (\frac{π}{2} - x) \sec (x)$
41357	Evaluate the Limit	limit as x approaches 0 of (x^2sin(x)+cos(x)+x-1)/(x^2-2x)	$lim_{x \to 0} \frac{x^{2} \sin (x) + \cos (x) + x - 1}{x^{2} - 2 x}$
41358	Simplify	(xy-x^2y)(2x-3xy+y)	$(x y - x^{2} y) (2 x - 3 x y + y)$
41359	Evaluate	20% of 95	$20 %$ of $95$
41360	Integrate Using u-Substitution	integral of tan(x)^3 with respect to x	$\int \tan^{3} (x) d x$
41361	Find dy/dx	cos(xy)=y-1	$\cos (x y) = y - 1$
41362	Solve for x	square root of (2x-4)/8=2	$\sqrt{\frac{2 x - 4}{8}} = 2$
41363	Evaluate	16% of 50	$16 %$ of $50$
41364	Find dx/dy	y=x+1/x	$y = x + \frac{1}{x}$
41365	Divide Using Long Polynomial Division	(3x^3-5x^2-4x-8)÷(2x^2+x)	$(3 x^{3} - 5 x^{2} - 4 x - 8) \div (2 x^{2} + x)$
41366	Solve for x	3^(2+x)=27	$3^{2 + x} = 27$
41367	Solve for x	fourth root of 1/3x-8=2	$\sqrt[4]{\frac{1}{3} x - 8} = 2$
41368	Find the Slope	(19,3) and (20,3)	$(19, 3)$ and $(20, 3)$
41369	Find the Roots (Zeros)	f(x)=x(x+3)(x-1)(2x+1)	$f (x) = x (x + 3) (x - 1) (2 x + 1)$
41370	Evaluate	(1-tan(x))^2=sec(x)^2-2tan(x)	${(1 - \tan (x))}^{2} = \sec^{2} (x) - 2 \tan (x)$
41371	Solve the System of Equations	y=-3x 4x+y=2	$y = - 3 x$ $4 x + y = 2$
41372	Evaluate	log of 1/2*16	$\log (\frac{1}{2} \cdot 16)$
41373	Find the Exact Value	(4/5)÷2	$\frac{4}{5} \div 2$
41374	Simplify	square root of (a^2b)/(c^7d^4)	$\sqrt{\frac{a^{2} b}{c^{7} d^{4}}}$
41375	Simplify	(rs^35)/(s^35)	$\frac{r s^{35}}{s^{35}}$
41376	Add	(3+i)+(-12-9i)	$(3 + i) + (- 12 - 9 i)$
41377	Simplify	(1+x)(1-x)(1+x^2)	$(1 + x) (1 - x) (1 + x^{2})$
41378	Evaluate	6/(x^2-9)-1/(x-3)=1	$\frac{6}{x^{2} - 9} - \frac{1}{x - 3} = 1$
41379	Find the Distance Between Two Points	(-6,0) and (-3,-4)	$(- 6, 0)$ and $(- 3, - 4)$
41380	Evaluate Using the Given Value	Find P(theta) if theta=510 degrees	Find $P (θ)$ if $θ = 510 °$
41381	Solve Using the Quadratic Formula	3x^2+5x+2 1/12	$3 x^{2} + 5 x + 2 \frac{1}{12}$
41382	Rationalize the Denominator	( square root of a+3)/(6- square root of a+3)	$\frac{\sqrt{a + 3}}{6 - \sqrt{a + 3}}$
41383	Evaluate	log of 1/3*27	$\log (\frac{1}{3} \cdot 27)$
41384	Simplify	(5xy^-1)/( square root of 25xy)	$\frac{5 x y^{- 1}}{\sqrt{25 x y}}$
41385	Find the Domain and Range	2(1/2)^(x+1)+2	$2 {(\frac{1}{2})}^{x + 1} + 2$
41386	Simplify	(3x+2)/(x+4)+(x-1)/(x^2+x-12)	$\frac{3 x + 2}{x + 4} + \frac{x - 1}{x^{2} + x - 12}$
41387	Divide	(3x^3y^4-9x^5y^6+6x^3y^3)/(6x^3y^2)	$\frac{3 x^{3} y^{4} - 9 x^{5} y^{6} + 6 x^{3} y^{3}}{6 x^{3} y^{2}}$
41388	Solve Over the Interval	3=tan(2x-pi) in (pi/2,(3pi)/4)	$3 = \tan (2 x - π)$ in $(\frac{π}{2}, \frac{3 π}{4})$
41389	Multiply	-1/4*(-9/2)	$- \frac{1}{4} \cdot (- \frac{9}{2})$
41390	Evaluate	(pi/2)÷2pi	$\frac{π}{2} \div 2 π$
41391	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-6,-6) and has a slope of -1/3 ?	What is the equation of the line that passes through the point $(- 6, - 6)$ and has a slope of $- \frac{1}{3}$ ?
41392	Graph	{(-1,1/2),(-1/2,-1),(3/2,0),(2,3/2)}	${(- 1, \frac{1}{2}), (- \frac{1}{2}, - 1), (\frac{3}{2}, 0), (2, \frac{3}{2})}$
41393	Add	(3+4i)+(3-4i)	$(3 + 4 i) + (3 - 4 i)$
41394	Convert to a Percentage	0.3 of 14	$0.3$ of $14$
41395	Multiply	[[0,2,3,-1],[2,-2,1,-2]][[-1],[-4],[0],[0]]	$[\begin{array}{c} 0 & 2 & 3 & - 1 \\ 2 & - 2 & 1 & - 2 \end{array}] [\begin{array}{c} - 1 \\ - 4 \\ 0 \\ 0 \end{array}]$
41396	Determine if Linear	y^3=x	$y^{3} = x$
41397	Solve the System of Equations	9x+2y=5 y-2x+3=0	$9 x + 2 y = 5$ $y - 2 x + 3 = 0$
41398	Graph	y>-5x^2 y>3x^2-2	$y > - 5 x^{2}$ $y > 3 x^{2} - 2$
41399	Simplify the Radical Expression	square root of 144- square root of -50- square root of 49- square root of -98	$\sqrt{144} - \sqrt{- 50} - \sqrt{49} - \sqrt{- 98}$
41400	Simplify the Radical Expression	( square root of 3t^2s^3)/(4 square root of 5ts^3)	$\frac{\sqrt{3 t^{2} s^{3}}}{4 \sqrt{5 t s^{3}}}$