Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
36401	Find the Exact Value	sec(75 degrees )	$\sec (75 °)$
36402	Solve using Gaussian Elimination	3x-2y-z=4 x-y-2z=0 4x+3y+z=2	$3 x - 2 y - z = 4$ $x - y - 2 z = 0$ $4 x + 3 y + z = 2$
36403	Find the Fourth Roots of a Complex Number	4+4i	$4 + 4 i$
36404	Find the Remainder	(8x^3-14x^2+19x-9)÷(1-4x)	$(8 x^{3} - 14 x^{2} + 19 x - 9) \div (1 - 4 x)$
36405	Divide	((2x+7)/(2x^4+21x^3+35x^2-37x+46))	$(\frac{2 x + 7}{2 x^{4} + 21 x^{3} + 35 x^{2} - 37 x + 46})$
36406	Find the Exact Value	-2^-1	$- 2^{- 1}$
36407	Solve by Addition/Elimination	y+4x=3 y=-4x-1	$y + 4 x = 3$ $y = - 4 x - 1$
36408	Find the Maximum/Minimum Value	y=3cos(x)+1	$y = 3 \cos (x) + 1$
36409	Evaluate the Limit	limit as x approaches negative infinity of (7x^2-9)/(4x+3)	$lim_{x \to - \infty} \frac{7 x^{2} - 9}{4 x + 3}$
36410	Find the Maximum/Minimum Value	f(x)=sin(x)-cos(x)	$f (x) = \sin (x) - \cos (x)$
36411	Evaluate	e^(1-1)	$e^{1 - 1}$
36412	Simplify	(x^-3x^4)/(x^8)	$\frac{x^{- 3} x^{4}}{x^{8}}$
36413	Find the Derivative - d/dx	x^4-5x^3y^2+2y^4	$x^{4} - 5 x^{3} y^{2} + 2 y^{4}$
36414	Solve Using the Quadratic Formula	(2x-3)^2-14=2x(x-7)	${(2 x - 3)}^{2} - 14 = 2 x (x - 7)$
36415	Write the Fraction in Simplest Form	(-3(h^3t^-5)^-3)/(6h^4)	$\frac{- 3 {(h^{3} t^{- 5})}^{- 3}}{6 h^{4}}$
36416	Evaluate	(2.4*11.1)/6.5	$\frac{2.4 \times 11.1}{6.5}$
36417	Simplify	(9/(x^2-14x+45)*(x-5)/(x+9))÷((4x)/(9x^3-729x))	$\frac{9}{x^{2} - 14 x + 45} \cdot \frac{x - 5}{x + 9} \div \frac{4 x}{9 x^{3} - 729 x}$
36418	Solve by Graphing	2x=12 x-5y=-29	$2 x = 12$ $x - 5 y = - 29$
36419	Solve the Inequality for x	2/3-1/2x>-1/3	$\frac{2}{3} - \frac{1}{2} x > - \frac{1}{3}$
36420	Simplify	square root of 3x^2y^2* square root of 12x^5	$\sqrt{3 x^{2} y^{2}} \cdot \sqrt{12 x^{5}}$
36421	Simplify	((4xy^-4z^3)/(12x^2yz^-2))*2	$(\frac{4 x y^{- 4} z^{3}}{12 x^{2} y z^{- 2}}) \cdot 2$
36422	Solve for w	8/(4w-8)-1=2/(w-2)	$\frac{8}{4 w - 8} - 1 = \frac{2}{w - 2}$
36423	Simplify	(3u^4v^2*3u^3v^4)/(u^4v^2)	$\frac{3 u^{4} v^{2} \cdot 3 u^{3} v^{4}}{u^{4} v^{2}}$
36424	Divide	7/( square root of 6+ square root of 5)	$\frac{7}{\sqrt{6} + \sqrt{5}}$
36425	Write in Standard Form	5a^2-7	$5 a^{2} - 7$
36426	Solve by Substitution	3x+y=2 4x+y=20	$3 x + y = 2$ $4 x + y = 20$
36427	Evaluate the Integral	integral of (3x^4-5x^2+x) with respect to x	$\int (3 x^{4} - 5 x^{2} + x) d x$
36428	Simplify	((x-8)/(x^2-2x))÷((3x^2-24x)/(3x^2))	$\frac{x - 8}{x^{2} - 2 x} \div \frac{3 x^{2} - 24 x}{3 x^{2}}$
36429	Evaluate	f(x+4)=x/(x^2+1)	$f (x + 4) = \frac{x}{x^{2} + 1}$
36430	Solve for x	-1/2(x+4)=3/4(x-4)	$- \frac{1}{2} (x + 4) = \frac{3}{4} (x - 4)$
36431	Factor	x^4-10x^3+9x^2-x^2+10x-9	$x^{4} - 10 x^{3} + 9 x^{2} - x^{2} + 10 x - 9$
36432	Divide	(-24x^7+9x^3-15x)/(3x^5)	$\frac{- 24 x^{7} + 9 x^{3} - 15 x}{3 x^{5}}$
36433	Simplify	square root of 10^-6	$\sqrt{10^{- 6}}$
36434	Simplify	(x^-2)/(3x^-3)	$\frac{x^{- 2}}{3 x^{- 3}}$
36435	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (5,2) and has a slope of -6/5 ?	What is the equation of the line that passes through the point $(5, 2)$ and has a slope of $- \frac{6}{5}$ ?
36436	Simplify	(8x^3*12xy^7)/(3x^2y^4)	$\frac{8 x^{3} \cdot 12 x y^{7}}{3 x^{2} y^{4}}$
36437	Simplify	7 5/7b+2 2/3b	$7 \frac{5}{7} b + 2 \frac{2}{3} b$
36438	Solve for x	x+x/3=4	$x + \frac{x}{3} = 4$
36439	Solve for x	square root of x-4-2 = square root of x-3	$\sqrt{x - 4} - 2 = \sqrt{x} - 3$
36440	Simplify	((4x^5y^2)^0(3x^2y^3)^3)/((x^3y)^3)	$\frac{{(4 x^{5} y^{2})}^{0} {(3 x^{2} y^{3})}^{3}}{{(x^{3} y)}^{3}}$
36441	Multiply	(2x^2+x-6)/(x+4)*(x^2-4x-32)/(x+2)	$\frac{2 x^{2} + x - 6}{x + 4} \cdot \frac{x^{2} - 4 x - 32}{x + 2}$
36442	Solve for x	(2x-3)^2=0	${(2 x - 3)}^{2} = 0$
36443	Solve the Inequality for x	Solve the inequality. (x-1)/(x+1)<=0	Solve the inequality. $\frac{x - 1}{x + 1} \leq 0$
36444	Evaluate	N=(t^2-t)/2	$N = \frac{t^{2} - t}{2}$
36445	Find the Roots (Zeros)	square root of 9x+10=x	$\sqrt{9 x + 10} = x$
36446	Convert to Interval Notation	5-2x>31 and 7x+8>=-55	$5 - 2 x > 31$ and $7 x + 8 \geq - 55$
36447	Simplify	(13a)/(4a^2)+(5a)/(4a^2)	$\frac{13 a}{4 a^{2}} + \frac{5 a}{4 a^{2}}$
36448	Find the x and y Intercepts	f(x)=x^2(x^2+1)(x+2)^2	$f (x) = x^{2} (x^{2} + 1) {(x + 2)}^{2}$
36449	Multiply	(-1/2)*(m^2+2n-p)	$(- \frac{1}{2}) \cdot (m^{2} + 2 n - p)$
36450	Find the Asymptotes	f(x)=(x+3)/(-3x^2-9x)	$f (x) = \frac{x + 3}{- 3 x^{2} - 9 x}$
36451	Simplify	pi(16x^2+24x+9)	$π (16 x^{2} + 24 x + 9)$
36452	Solve for c	Q=(c+d)/2	$Q = \frac{c + d}{2}$
36453	Factor by Grouping	7xy+28x^3+y+4x^2	$7 x y + 28 x^{3} + y + 4 x^{2}$
36454	Simplify	(7y^2+3xy-9)-(2y^2+3xy-5)	$(7 y^{2} + 3 x y - 9) - (2 y^{2} + 3 x y - 5)$
36455	Solve the Inequality for w	11w<=77	$11 w \leq 77$
36456	Identify the Sequence	1 , 4 , 16 ; dots	$1$ , $4$ , $16$ ; dots
36457	Add	(3x^4+5x^3-3)+(2x^4-3x^2+6x-4)	$(3 x^{4} + 5 x^{3} - 3) + (2 x^{4} - 3 x^{2} + 6 x - 4)$
36458	Simplify the Radical Expression	( square root of x^12)/( square root of 8100)	$\frac{\sqrt{x^{12}}}{\sqrt{8100}}$
36459	Find the Holes in the Graph	(2x+2)/(x^3+x^2)	$\frac{2 x + 2}{x^{3} + x^{2}}$
36460	Simplify	4(4^2-8)+(25-5^2)	$4 (4^{2} - 8) + (25 - 5^{2})$
36461	Multiply	4(-9 1/8)	$4 (- 9 \frac{1}{8})$
36462	Simplify	square root of (7x^3)/(9y)	$\sqrt{\frac{7 x^{3}}{9 y}}$
36463	Evaluate the Limit	limit as x approaches negative infinity of square root of x^2+x+1+x	$lim_{x \to - \infty} \sqrt{x^{2} + x + 1} + x$
36464	Find the Cosecant Given the Point	(2/19,y)	$(\frac{2}{19}, y)$
36465	Find the Derivative - d/dx	1/( log of x)	$\frac{1}{\log (x)}$
36466	Solve for y	y/2-2=-4y-11	$\frac{y}{2} - 2 = - 4 y - 11$
36467	Graph	y=x^3+x^2+x+1	$y = x^{3} + x^{2} + x + 1$
36468	Find the Roots (Zeros)	4/x=14/(5x)+2	$\frac{4}{x} = \frac{14}{5 x} + 2$
36469	Factor	(x^2+x-6)/(x^2-4)	$\frac{x^{2} + x - 6}{x^{2} - 4}$
36470	Solve the Function Operation	If f(x)=4x-3 and g(x)=5x+7 ; find (f-g)(x)	If $f (x) = 4 x - 3$ and $g (x) = 5 x + 7$ ; find $(f - g) (x)$
36471	Solve the Inequality for a	30-6a<-3(5+7a)	$30 - 6 a < - 3 (5 + 7 a)$
36472	Simplify	fourth root of 36+ square root of 6	$\sqrt[4]{36} + \sqrt{6}$
36473	Factor	Factor x^2-36	Factor $x^{2} - 36$
36474	Describe the Transformation	g(x)=-f(x+2)	$g (x) = - f (x + 2)$
36475	Solve the System of Inequalities	y<2x-8 y<=-x-2	$y < 2 x - 8$ $y \leq - x - 2$
36476	Solve for x	4x^2-28=3x^2-3x	$4 x^{2} - 28 = 3 x^{2} - 3 x$
36477	Find the Maximum/Minimum Value	y=1/2tan(2x)	$y = \frac{1}{2} \tan (2 x)$
36478	Determine if Injective (One to One)	y=(x+2)^(1/3)	$y = {(x + 2)}^{\frac{1}{3}}$
36479	Find the End Behavior	f(x)=(x+4)(x-5)	$f (x) = (x + 4) (x - 5)$
36480	Simplify the Radical Expression	((4m^2n)^2)/(2m^5n)	$\frac{{(4 m^{2} n)}^{2}}{2 m^{5} n}$
36481	Simplify	((2a^3b^6)/16)^4	${(\frac{2 a^{3} b^{6}}{16})}^{4}$
36482	Solve the Function Operation	0.3j-(0.1j-3)+0.1=2 (j+0.1)+0.2	$0.3 j - (0.1 j - 3) + 0.1 = 2$ $(j + 0.1) + 0.2$
36483	Solve for x	4/( square root of x) = square root of 2	$\frac{4}{\sqrt{x}} = \sqrt{2}$
36484	Simplify	(xy2/3)1/2	$(x y \frac{2}{3}) \frac{1}{2}$
36485	Multiply	x^2(-10x^2+1)	$x^{2} (- 10 x^{2} + 1)$
36486	Graph	f(x)=x^2 if x<0; 1-x if x>0	$f (x) = {\begin{cases} x^{2} & x < 0 \\ 1 - x & x > 0 \end{cases}$
36487	Solve for x	3(7/3x+4/3)-2x+8=5x+12	$3 (\frac{7}{3} x + \frac{4}{3}) - 2 x + 8 = 5 x + 12$
36488	Evaluate	(33/21)(2/3)(1/2)	$(\frac{33}{21}) (\frac{2}{3}) (\frac{1}{2})$
36489	Solve for x	17-x=1/3*15+6	$17 - x = \frac{1}{3} \cdot 15 + 6$
36490	Solve the Inequality for p	-2>=4p+6+4	$- 2 \geq 4 p + 6 + 4$
36491	Simplify	y(-2-(y-4))	$y (- 2 - (y - 4))$
36492	Solve for x	-4(x+4x)=2(2-x)+10	$- 4 (x + 4 x) = 2 (2 - x) + 10$
36493	Solve for b	square root of 2b-6 = square root of 3b-14	$\sqrt{2 b - 6} = \sqrt{3 b - 14}$
36494	Find the Roots (Zeros)	4x^3+x^2-12x-3=0	$4 x^{3} + x^{2} - 12 x - 3 = 0$
36495	Convert to a Decimal	sin(165)deg	$\sin (165)$ degrees
36496	Simplify	(4-x)(x^2-3x)	$(4 - x) (x^{2} - 3 x)$
36497	Find the 5th Term	1/4 , 1/6 , 1/9 , 2/27	$\frac{1}{4}$ , $\frac{1}{6}$ , $\frac{1}{9}$ , $\frac{2}{27}$
36498	Find the Exact Value	cot(pi/2)-sin(pi/2)	$\cot (\frac{π}{2}) - \sin (\frac{π}{2})$
36499	Find the Antiderivative	f(x) = square root of 2cos(x)	$f (x) = \sqrt{2} \cos (x)$
36500	Graph	x^2+y^2<=16 x^2-y>2	$x^{2} + y^{2} \leq 16$ $x^{2} - y > 2$