Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
11501	Solve for y	2y+4>2(3+y)	$2 y + 4 > 2 (3 + y)$
11502	Simplify	4-(3+1)^2-6÷2+4	$4 - {(3 + 1)}^{2} - 6 \div 2 + 4$
11503	Solve for x	4(2x-2)+2=4(x-2)	$4 (2 x - 2) + 2 = 4 (x - 2)$
11504	Evaluate Using the Given Value	2x^2-y^1+3x^0 for x=4 and y=7	$2 x^{2} - y^{1} + 3 x^{0}$ for $x = 4$ and $y = 7$
11505	Solve the System of Inequalities	2x+4y<=12 3x-y<2	$2 x + 4 y \leq 12$ $3 x - y < 2$
11506	Add	-7 2/3+(-5 1/2)+8 3/4	$- 7 \frac{2}{3} + (- 5 \frac{1}{2}) + 8 \frac{3}{4}$
11507	Simplify	-1/3(6x+15)-3	$- \frac{1}{3} (6 x + 15) - 3$
11508	Simplify	3^-3(6p^-5)^2	$3^{- 3} {(6 p^{- 5})}^{2}$
11509	Determine if Parallel	-4y=-2x+8 and 3x-6y=6	$- 4 y = - 2 x + 8$ and $3 x - 6 y = 6$
11510	Write in Standard Form	y=4(3x+1)(5x-6)	$y = 4 (3 x + 1) (5 x - 6)$
11511	Solve for θ	(1+tan(theta))/(sin(theta))=0	$\frac{1 + \tan (θ)}{\sin (θ)} = 0$
11512	Solve the System of Equations	y=-1/3x+1 x=-6	$y = - \frac{1}{3} x + 1$ $x = - 6$
11513	Simplify	(x^4+2x^3)/(14x+28)	$\frac{x^{4} + 2 x^{3}}{14 x + 28}$
11514	Simplify the Radical Expression	(5- square root of 2)(5+ square root of 2)	$(5 - \sqrt{2}) (5 + \sqrt{2})$
11515	Find the Inverse	f(x)=1/7x^2 , x>=0	$f (x) = \frac{1}{7} x^{2}$ , $x \geq 0$
11516	Simplify	(8 square root of 14)/(12 square root of 18)	$\frac{8 \sqrt{14}}{12 \sqrt{18}}$
11517	Add	Find the sum of 4x^2+3x+2 and 7x^2+7x+3	Find the sum of $4 x^{2} + 3 x + 2$ and $7 x^{2} + 7 x + 3$
11518	Find the Product	(7+4x)(2-9x)	$(7 + 4 x) (2 - 9 x)$
11519	Find the Derivative - d/dx	-15/(16(x+1)^(7/2))	$- \frac{15}{16 {(x + 1)}^{\frac{7}{2}}}$
11520	Find the Exact Value	(sin((11pi)/6)-cos(pi/6))/(sin(-pi/6)+cos((5pi)/6))	$\frac{\sin (\frac{11 π}{6}) - \cos (\frac{π}{6})}{\sin (- \frac{π}{6}) + \cos (\frac{5 π}{6})}$
11521	Solve for x	x/(x+4)+1/(x-4)=2/(x^2-16)	$\frac{x}{x + 4} + \frac{1}{x - 4} = \frac{2}{x^{2} - 16}$
11522	Find the Degree, Leading Term, and Leading Coefficient	f(x)=-3x^4-10x^3	$f (x) = - 3 x^{4} - 10 x^{3}$
11523	Solve for r	(\|3+r\|)/7<=5	$\frac{\| 3 + r \|}{7} \leq 5$
11524	Evaluate the Integral	integral from 0 to 1 of (1-8v^3+16v^7) with respect to v	$\int_{0}^{1} (1 - 8 v^{3} + 16 v^{7}) d v$
11525	Find the Quotient	(28r^7+8r^5)/(4r^2)	$\frac{28 r^{7} + 8 r^{5}}{4 r^{2}}$
11526	Write in Standard Form	5x+3x^4+15-7x^3	$5 x + 3 x^{4} + 15 - 7 x^{3}$
11527	Solve the Rational Equation for k	cube root of k+4 = cube root of 2k+3	$\sqrt[3]{k + 4} = \sqrt[3]{2 k + 3}$
11528	Write the Fraction in Simplest Form	((4v^-3)^3)/(3v^-8)	$\frac{{(4 v^{- 3})}^{3}}{3 v^{- 8}}$
11529	Find the Antiderivative	3/( cube root of x+3)	$\frac{3}{\sqrt[3]{x + 3}}$
11530	Simplify	1/2(5(x+2)+4x)	$\frac{1}{2} (5 (x + 2) + 4 x)$
11531	Find the Sum of the Infinite Geometric Series	120+40+40/3+40/9+...	$120 + 40 + \frac{40}{3} + \frac{40}{9} + \dots$
11532	Solve for x	2 = square root of 3x-1	$2 = \sqrt{3 x - 1}$
11533	Evaluate	-3(3)^(1/2)+3/(4(3)^(1/2))	$- 3 {(3)}^{\frac{1}{2}} + \frac{3}{4 {(3)}^{\frac{1}{2}}}$
11534	Combine Like Terms	1-2p-9+p	$1 - 2 p - 9 + p$
11535	Simplify	(2+ square root of -1)+(-3+ square root of -16)	$(2 + \sqrt{- 1}) + (- 3 + \sqrt{- 16})$
11536	Find the Midpoint	P_1=(2,-3) , P_2=(4,5)	$P_{1} = (2, - 3)$ , $P_{2} = (4, 5)$
11537	Divide	Divide x+1 into x^2+2x+3	Divide $x + 1$ into $x^{2} + 2 x + 3$
11538	Simplify	cube root of (432n^12)/(64q^6)	$\sqrt[3]{\frac{432 n^{12}}{64 q^{6}}}$
11539	Solve the Function Operation	f(x)=x^2-x+14 g(x)=-5x-8 Find: g(f(x))	$f (x) = x^{2} - x + 14$ $g (x) = - 5 x - 8$ Find: $g (f (x))$
11540	Simplify the Radical Expression	(3-2 square root of k)^2	${(3 - 2 \sqrt{k})}^{2}$
11541	Simplify	(4-5i)-(-2i-8)+(-1+8i)	$(4 - 5 i) - (- 2 i - 8) + (- 1 + 8 i)$
11542	Solve for x	( square root of 2x)/5+3=5	$\frac{\sqrt{2 x}}{5} + 3 = 5$
11543	Simplify	square root of 16(x+5)^2	$\sqrt{16 {(x + 5)}^{2}}$
11544	Factor	2(x+1)(x-1)^-1-(x+1)^2(x-1)^-2+3(x+1)(x-1)^-2	$2 (x + 1) {(x - 1)}^{- 1} - {(x + 1)}^{2} {(x - 1)}^{- 2} + 3 (x + 1) {(x - 1)}^{- 2}$
11545	Solve the Inequality for z	8-z/3>=11	$8 - \frac{z}{3} \geq 11$
11546	Simplify	((x^2-9)(x^2-z^2))/(4(x+z)(x-3))	$\frac{(x^{2} - 9) (x^{2} - z^{2})}{4 (x + z) (x - 3)}$
11547	Simplify the Radical Expression	square root of (x^24)/9	$\sqrt{\frac{x^{24}}{9}}$
11548	Find the Other Trig Values in Quadrant IV	cot(theta)=-( square root of 3)/8	$\cot (θ) = - \frac{\sqrt{3}}{8}$
11549	Solve for x	e^(x-1)=0	$e^{x - 1} = 0$
11550	Find the Other Trig Values in Quadrant III	cot(theta)=( square root of 3)/8	$\cot (θ) = \frac{\sqrt{3}}{8}$
11551	Add	(6a^2-5a)+(a-5a+3a^3)	$(6 a^{2} - 5 a) + (a - 5 a + 3 a^{3})$
11552	Add	(k^2-4k+7)+(k^2+9k-3)	$(k^{2} - 4 k + 7) + (k^{2} + 9 k - 3)$
11553	Divide Using Long Polynomial Division	(8x^3+5x^2+3x-1)÷2x	$(8 x^{3} + 5 x^{2} + 3 x - 1) \div 2 x$
11554	Combine Like Terms	11k+2j+5h-10k-j	$11 k + 2 j + 5 h - 10 k - j$
11555	Solve for x	4/(2x+1)+1/(4x^2-1)=3	$\frac{4}{2 x + 1} + \frac{1}{4 x^{2} - 1} = 3$
11556	Find the Holes in the Graph	y=(x^2-4)/(x^2+4)	$y = \frac{x^{2} - 4}{x^{2} + 4}$
11557	Solve for x	3(x-5)=2(x-5)+x	$3 (x - 5) = 2 (x - 5) + x$
11558	Simplify	-9i^116-7i^28-7i^95+10i^24	$- 9 i^{116} - 7 i^{28} - 7 i^{95} + 10 i^{24}$
11559	Solve for x	2x^2+2x-12+x^2-9=5	$2 x^{2} + 2 x - 12 + x^{2} - 9 = 5$
11560	Simplify	3/4+2/3(9x+6)+4x+3 1/4	$\frac{3}{4} + \frac{2}{3} (9 x + 6) + 4 x + 3 \frac{1}{4}$
11561	Solve for x	17/((x-3)(x+4))-1/(x-3)=x/(x+4)	$\frac{17}{(x - 3) (x + 4)} - \frac{1}{x - 3} = \frac{x}{x + 4}$
11562	Find the Derivative - d/dx	\|2x-1\|	$\| 2 x - 1 \|$
11563	Find the Degree, Leading Term, and Leading Coefficient	-1+(x^2)/6	$- 1 + \frac{x^{2}}{6}$
11564	Solve for c	square root of 4z+9=cz+8	$\sqrt{4 z + 9} = c z + 8$
11565	Find the Exact Value	cos(90 degrees )+tan(45 degrees )	$\cos (90 °) + \tan (45 °)$
11566	Simplify	(b+11)*2b	$(b + 11) \cdot 2 b$
11567	Find the Slope	(-8,-8) and (-7,9)	$(- 8, - 8)$ and $(- 7, 9)$
11568	Simplify	-6/(x^2-16)(x+2)/(x^2-2x-8)(16-x^2)/(9x)	$\frac{- 6}{x^{2} - 16} \cdot \frac{x + 2}{x^{2} - 2 x - 8} \cdot \frac{16 - x^{2}}{9 x}$
11569	Simplify	(csc(x)+cot(x))(1-cos(x))	$(\csc (x) + \cot (x)) (1 - \cos (x))$
11570	Find the Asymptotes	(x^2+4x)/(-x-4)	$\frac{x^{2} + 4 x}{- x - 4}$
11571	Solve for c	a=-bcd	$a = - b c d$
11572	Simplify	fourth root of 256x* cube root of 125x^2	$\sqrt[4]{256 x} \cdot \sqrt[3]{125 x^{2}}$
11573	Expand Using Sum/Difference Formulas	2(3x+7)	$2 (3 x + 7)$
11574	Solve for x	log base 2 of x^2+1- log base 2 of x+7=0	$\log_{2} (x^{2} + 1) - \log_{2} (x + 7) = 0$
11575	Simplify	15 square root of 3+ square root of 5-2 square root of 3	$15 \sqrt{3} + \sqrt{5} - 2 \sqrt{3}$
11576	Find dy/dx	y+x^3y-5x=0	$y + x^{3} y - 5 x = 0$
11577	Find the Maximum/Minimum Value	x^4-x^5	$x^{4} - x^{5}$
11578	Add	(-10a^2+6a^3+3a)+(-6a^3-4a+8a^2)	$(- 10 a^{2} + 6 a^{3} + 3 a) + (- 6 a^{3} - 4 a + 8 a^{2})$
11579	Simplify the Radical Expression	(5 square root of 15)/(2 square root of 5)	$\frac{5 \sqrt{15}}{2 \sqrt{5}}$
11580	Solve the Inequality for x	2(x-3)<=3+2x	$2 (x - 3) \leq 3 + 2 x$
11581	Solve for m	3- fourth root of m=0	$3 - \sqrt[4]{m} = 0$
11582	Solve for x	x^3+7x^2=-10x	$x^{3} + 7 x^{2} = - 10 x$
11583	Solve for x	3sec(x)^2-2tan(x)^2-4=0	$3 \sec^{2} (x) - 2 \tan^{2} (x) - 4 = 0$
11584	Subtract	(2a^2b^2+3ab^2-5a^2b)-(3a^2b^2-9a^2b+7ab^2)	$(2 a^{2} b^{2} + 3 a b^{2} - 5 a^{2} b) - (3 a^{2} b^{2} - 9 a^{2} b + 7 a b^{2})$
11585	Write the Fraction in Simplest Form	(5(m^-2)^3)/(20m^9)	$\frac{5 {(m^{- 2})}^{3}}{20 m^{9}}$
11586	Evaluate the Integral	integral from -3 to k of x^2 with respect to x=0	$\int_{- 3}^{k} x^{2} d x = 0$
11587	Add	2/x+(x-1)/(x-5)	$\frac{2}{x} + \frac{x - 1}{x - 5}$
11588	Evaluate the Integral	integral of -1/(4x square root of 4-(2x)^2) with respect to x	$\int \frac{- 1}{4 x \sqrt{4 - {(2 x)}^{2}}} d x$
11589	Simplify	(((x+y)^-2)/(y^-3))/((x^3y^-2(x+y)^-1)/(x^-2))	$\frac{\frac{{(x + y)}^{- 2}}{y^{- 3}}}{\frac{x^{3} y^{- 2} {(x + y)}^{- 1}}{x^{- 2}}}$
11590	Simplify	(2^-7*2^6)/(2^0)	$\frac{2^{- 7} \cdot 2^{6}}{2^{0}}$
11591	Simplify	csc(s(cos(s)+sin(s)))	$\csc (s (\cos (s) + \sin (s)))$
11592	Solve for x	x^2-3x-2=\|x-1\|	$x^{2} - 3 x - 2 = \| x - 1 \|$
11593	Write in Standard Form	a(4a+3)	$a (4 a + 3)$
11594	Simplify the Radical Expression	(5 square root of 5-2)( square root of 5-1)	$(5 \sqrt{5} - 2) (\sqrt{5} - 1)$
11595	Graph	y=4sin(1/2)(x-pi/2)+5	$y = 4 \sin (\frac{1}{2}) (x - \frac{π}{2}) + 5$
11596	Evaluate	1/2*4^-2	$\frac{1}{2} \cdot 4^{- 2}$
11597	Find dy/dx	3xy-x^3=5	$3 x y - x^{3} = 5$
11598	Find the Degree, Leading Term, and Leading Coefficient	g(t)=5t^5-2t^3+7t	$g (t) = 5 t^{5} - 2 t^{3} + 7 t$
11599	Evaluate	log of 10 square root of 1000	$\log (10 \sqrt{1000})$
11600	Multiply	11x^3*7x^(7/3)	$11 x^{3} \cdot 7 x^{\frac{7}{3}}$