Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
156301	Combine	-3x+5x	$- 3 x + 5 x$
156302	Combine	3x-4y+14-4x+2y-8	$3 x - 4 y + 14 - 4 x + 2 y - 8$
156303	Combine	3x-x	$3 x - x$
156304	Combine	(2xy-3x^2+4y-5)+(-3xy+4y^2-3y+8)	$(2 x y - 3 x^{2} + 4 y - 5) + (- 3 x y + 4 y^{2} - 3 y + 8)$
156305	Combine	3/5x-4/7y-2x+5/7y	$\frac{3}{5} x - \frac{4}{7} y - 2 x + \frac{5}{7} y$
156306	Combine	1/(x^2)-3/(2xy^3)+7/(5xy)	$\frac{1}{x^{2}} - \frac{3}{2 x y^{3}} + \frac{7}{5 x y}$
156307	Combine	(10m-6)-(7m-4)	$(10 m - 6) - (7 m - 4)$
156308	Combine	11/12-1/6x+5/6x-1/3	$\frac{11}{12} - \frac{1}{6} x + \frac{5}{6} x - \frac{1}{3}$
156309	Combine	(6x^2+2x-9)+(8x^2-5x+1)-(3x-4)(7x+2)	$(6 x^{2} + 2 x - 9) + (8 x^{2} - 5 x + 1) - (3 x - 4) (7 x + 2)$
156310	Combine	(5xy^2-x^2y)+3x^2y	$(5 x y^{2} - x^{2} y) + 3 x^{2} y$
156311	Combine	7/(xz)+2/(xy)+4/(yz)=	$\frac{7}{x z} + \frac{2}{x y} + \frac{4}{y z} =$
156312	Combine	9/(x-1)-5/(x+4)	$\frac{9}{x - 1} - \frac{5}{x + 4}$
156313	Combine	(a^2-5)/(a^3-1)-(a+1)/(a^2+a+1)=	$\frac{a^{2} - 5}{a^{3} - 1} - \frac{a + 1}{a^{2} + a + 1} =$
156314	Combine	-4/7x+(-2/7x)+1/7	$- \frac{4}{7} x + (- \frac{2}{7} x) + \frac{1}{7}$
156315	Combine	( square root of 5)( cube root of 5)	$(\sqrt{5}) (\sqrt[3]{5})$
156316	Combine	1/(1+sin(x))+1/(1-sin(x))	$\frac{1}{1 + \sin (x)} + \frac{1}{1 - \sin (x)}$
156317	Combine	1/3 log of (x-1)^3+1/2( log of x^4- log of x^2-x-6)	$\frac{1}{3} \log ({(x - 1)}^{3}) + \frac{1}{2} (\log (x^{4}) - \log (x^{2} - x - 6))$
156318	Solve Using a Matrix by Elimination	5x-4y=32x+3y=38	$5 x - 4 y = 32 x + 3 y = 38$
156319	Solve Using a Matrix by Elimination	6x-8y=5-3x+4y=-4	$6 x - 8 y = 5 - 3 x + 4 y = - 4$
156320	Solve Using a Matrix by Elimination	x-2y=-8-x+2y=8	$x - 2 y = - 8 - x + 2 y = 8$
156321	Solve Using a Matrix by Elimination	x-2y-z=-52x-3y-z=3x-4y-z=1	$x - 2 y - z = - 52 x - 3 y - z = 3 x - 4 y - z = 1$
156322	Solve Using a Matrix by Elimination	x+2y=10-2x-4y=245x+5y+5z=15	$x + 2 y = 10 - 2 x - 4 y = 245 x + 5 y + 5 z = 15$
156323	Solve Using a Matrix by Elimination	2x-y=5x+3y=7	$2 x - y = 5 x + 3 y = 7$
156324	Solve Using a Matrix by Elimination	4x+2y=102x-3y=-7	$4 x + 2 y = 102 x - 3 y = - 7$
156325	Solve Using a Matrix by Elimination	4x+3y=42x-y=7	$4 x + 3 y = 42 x - y = 7$
156326	Solve Using a Matrix by Elimination	2x+4y=16 -4x-8y=32	$2 x + 4 y = 16$ $- 4 x - 8 y = 32$
156327	Solve Using a Matrix by Elimination	2x+y+z=4 6y+5z=-33x*5y-z=27	$2 x + y + z = 4$ $6 y + 5 z = - 33 x \cdot 5 y - z = 27$
156328	Solve Using a Matrix by Elimination	4x-2y=-123x-y=-3	$4 x - 2 y = - 123 x - y = - 3$
156329	Combine	y+(y-3)/3	$y + \frac{y - 3}{3}$
156330	Combine	x+y+2y-4	$x + y + 2 y - 4$
156331	Combine	xy-(4x^5)/(x^2-xy)	$x y - \frac{4 x^{5}}{x^{2} - x y}$
156332	Combine	7-7+5x-5x+2+2x^2+2x	$7 - 7 + 5 x - 5 x + 2 + 2 x^{2} + 2 x$
156333	Combine	7a-2b-5a+14b	$7 a - 2 b - 5 a + 14 b$
156334	Combine	7x-3x	$7 x - 3 x$
156335	Combine	-7y^2-2y^2+y^3-3y-2y+5y^3-2y	$- 7 y^{2} - 2 y^{2} + y^{3} - 3 y - 2 y + 5 y^{3} - 2 y$
156336	Combine	7y^2-4x+7x+2-2x-3-7y^2	$7 y^{2} - 4 x + 7 x + 2 - 2 x - 3 - 7 y^{2}$
156337	Combine	-7y^3-3y+5y-y^3-4+7y^3-7y	$- 7 y^{3} - 3 y + 5 y - y^{3} - 4 + 7 y^{3} - 7 y$
156338	Combine	8n+12+(-9)-(6n)	$8 n + 12 + (- 9) - (6 n)$
156339	Combine	-8x-4x-8b+8	$- 8 x - 4 x - 8 b + 8$
156340	Combine	-9 square root of 11x-15 square root of 11x- square root of 11x	$- 9 \sqrt{11 x} - 15 \sqrt{11 x} - \sqrt{11 x}$
156341	Combine	9x+x	$9 x + x$
156342	Combine	-9xy^2+6x^2y-5x^3	$- 9 x y^{2} + 6 x^{2} y - 5 x^{3}$
156343	Combine	x square root of y+z square root of y	$x \sqrt{y} + z \sqrt{y}$
156344	Combine	x+20y-2z+19x-2y+19z	$x + 20 y - 2 z + 19 x - 2 y + 19 z$
156345	Combine	sin(x)+cos(x)	$\sin (x) + \cos (x)$
156346	Combine	f(-3)+2f(-1)-f(4)	$f (- 3) + 2 f (- 1) - f (4)$
156347	Combine	natural log of x/(x-7)+ natural log of (x+7)/x- natural log of x^2-49	$\ln (\frac{x}{x - 7}) + \ln (\frac{x + 7}{x}) - \ln (x^{2} - 49)$
156348	Combine	m square root of p+n square root of p- square root of p	$m \sqrt{p} + n \sqrt{p} - \sqrt{p}$
156349	Combine	a+b-9a-5b	$a + b - 9 a - 5 b$
156350	Combine	9x^2+10x^2-4x-9+29x^2+5+14x-8x	$9 x^{2} + 10 x^{2} - 4 x - 9 + 29 x^{2} + 5 + 14 x - 8 x$
156351	Combine	5 square root of xy+25 square root of x	$5 \sqrt{x y} + 25 \sqrt{x}$
156352	Combine	-5-2x^2+6-2y-2y-5x^2+6x^2	$- 5 - 2 x^{2} + 6 - 2 y - 2 y - 5 x^{2} + 6 x^{2}$
156353	Combine	5-3x^2-2x^2-2x^3-x^3-3+3x^2	$5 - 3 x^{2} - 2 x^{2} - 2 x^{3} - x^{3} - 3 + 3 x^{2}$
156354	Combine	54+31+7n^2-n^2	$54 + 31 + 7 n^{2} - n^{2}$
156355	Combine	5a^2-6a+7a^2+3a-2+8a+7	$5 a^{2} - 6 a + 7 a^{2} + 3 a - 2 + 8 a + 7$
156356	Combine	-5.8y+4.2-3.1+1.4y	$- 5.8 y + 4.2 - 3.1 + 1.4 y$
156357	Combine	4x+2x	$4 x + 2 x$
156358	Combine	4x square root of 8x+6 square root of 18x^3	$4 x \sqrt{8 x} + 6 \sqrt{18 x^{3}}$
156359	Combine	-6y+y^2+3-4y^2-7+1-4y	$- 6 y + y^{2} + 3 - 4 y^{2} - 7 + 1 - 4 y$
156360	Combine	6x-8x	$6 x - 8 x$
156361	Combine	-6x-6x	$- 6 x - 6 x$
156362	Combine	6x^2+3x+9x^2+3	$6 x^{2} + 3 x + 9 x^{2} + 3$
156363	Combine	6x+4x	$6 x + 4 x$
156364	Combine	6x-3x	$6 x - 3 x$
156365	Combine	5x+6+(-7x)	$5 x + 6 + (- 7 x)$
156366	Combine	5y^2-5y^3-7y^2+7y^3	$5 y^{2} - 5 y^{3} - 7 y^{2} + 7 y^{3}$
156367	Combine	-6+5y^3+6-6y^3+5y^3-4-x	$- 6 + 5 y^{3} + 6 - 6 y^{3} + 5 y^{3} - 4 - x$
156368	Find the Roots (Zeros)	x^2-3x=1	$x^{2} - 3 x = 1$
156369	Find the Remainder	(3b^2+13b+4)/(b+4)	$\frac{(3 b^{2} + 13 b + 4)}{b + 4}$
156370	Find the Remainder	(3x^3-5x^2-4x+1)/(x+3)	$\frac{(3 x^{3} - 5 x^{2} - 4 x + 1)}{(x + 3)}$
156371	Find the Remainder	(2x^3+x^2-2x+2)/(x+2)	$\frac{(2 x^{3} + x^{2} - 2 x + 2)}{x + 2}$
156372	Find the Remainder	(2x^3-13x^2+8x+48)/(x-4)	$\frac{(2 x^{3} - 13 x^{2} + 8 x + 48)}{(x - 4)}$
156373	Find the Remainder	(2x^3-5x+2)/(x-4)	$\frac{(2 x^{3} - 5 x + 2)}{x - 4}$
156374	Find the Remainder	(2x^3-x^2-10x-9)/(x-1/2)	$\frac{(2 x^{3} - x^{2} - 10 x - 9)}{x - \frac{1}{2}}$
156375	Find the Remainder	(2x^3-x+1)/(x+5)	$\frac{(2 x^{3} - x + 1)}{(x + 5)}$
156376	Find the Remainder	(4x^3-3x^2+x+7)/(x-2)	$\frac{(4 x^{3} - 3 x^{2} + x + 7)}{(x - 2)}$
156377	Find the Remainder	(4x^3+2x^2-18x+38)/(x-3)	$\frac{(4 x^{3} + 2 x^{2} - 18 x + 38)}{x - 3}$
156378	Find the Remainder	(5x^2-7x+3)/(x-2)	$\frac{(5 x^{2} - 7 x + 3)}{(x - 2)}$
156379	Find the Remainder	(4x^2-6x+2)/(x-2)	$\frac{(4 x^{2} - 6 x + 2)}{(x - 2)}$
156380	Find the Remainder	(4x^2-2x+6)/(x-1)	$\frac{(4 x^{2} - 2 x + 6)}{(x - 1)}$
156381	Find the Remainder	(3x^4+5x^2-8x-10)/(x+3)	$\frac{(3 x^{4} + 5 x^{2} - 8 x - 10)}{(x + 3)}$
156382	Find the Interquartile Range (H-Spread)	7 , 8 , 9 , 10 , 11 , 12 , 14 , 15 , 15 , 16	$7$ , $8$ , $9$ , $10$ , $11$ , $12$ , $14$ , $15$ , $15$ , $16$
156383	Find the Remainder	(2x^2-33x+16)/(x-16)	$\frac{(2 x^{2} - 33 x + 16)}{(x - 16)}$
156384	Find the Remainder	(2x^3+4x^2-32x+18)/(x-3)	$\frac{(2 x^{3} + 4 x^{2} - 32 x + 18)}{x - 3}$
156385	Find the Remainder	(123x^3+456x^2-789x-10)/x	$\frac{(123 x^{3} + 456 x^{2} - 789 x - 10)}{x}$
156386	Find the Interquartile Range (H-Spread)	0 , 0 , 1 , 1 , 2 , 2 , 2 , 2 , 2 , 3 , 3 , 3 , 3 , 3 , 4 , 4 , 4 , 5 , 5 , 6	$0$ , $0$ , $1$ , $1$ , $2$ , $2$ , $2$ , $2$ , $2$ , $3$ , $3$ , $3$ , $3$ , $3$ , $4$ , $4$ , $4$ , $5$ , $5$ , $6$
156387	Use the Rational Roots Test to Find All Possible Roots	x^6+x^5+x^4+4x^3-12x^2+12	$x^{6} + x^{5} + x^{4} + 4 x^{3} - 12 x^{2} + 12$
156388	Use the Rational Roots Test to Find All Possible Roots	-x^6-x^5-x^4-4x^3-12x^2+12	$- x^{6} - x^{5} - x^{4} - 4 x^{3} - 12 x^{2} + 12$
156389	Use the Rational Roots Test to Find All Possible Roots	x^7-2x^2+2x+5	$x^{7} - 2 x^{2} + 2 x + 5$
156390	Find the Interquartile Range (H-Spread)	45 , 57 , 69 , 75 , 80 , 82 , 88 , 91 , 100	$45$ , $57$ , $69$ , $75$ , $80$ , $82$ , $88$ , $91$ , $100$
156391	Use the Rational Roots Test to Find All Possible Roots	-x^5-2x^4+6x^3+3x^2+4x-6	$- x^{5} - 2 x^{4} + 6 x^{3} + 3 x^{2} + 4 x - 6$
156392	Find the Remainder	(x^3+3x^2+x+6)/(x-1)	$\frac{(x^{3} + 3 x^{2} + x + 6)}{(x - 1)}$
156393	Find the Remainder	(x^3+3x^2+x-8)/(x-1)	$\frac{(x^{3} + 3 x^{2} + x - 8)}{(x - 1)}$
156394	Find the Remainder	(x^3+3x^2-2x+7)/(x+1)	$\frac{(x^{3} + 3 x^{2} - 2 x + 7)}{x + 1}$
156395	Find the Remainder	(x^3-2x^2+3x-1)/(x+2)	$\frac{(x^{3} - 2 x^{2} + 3 x - 1)}{(x + 2)}$
156396	Find the Remainder	(x^3-2x^2+3x-12)/(x+4)	$\frac{(x^{3} - 2 x^{2} + 3 x - 12)}{(x + 4)}$
156397	Find the Remainder	(x^3-2x^2-5x+6)/(x-1)	$\frac{(x^{3} - 2 x^{2} - 5 x + 6)}{(x - 1)}$
156398	Find the Remainder	(x^3+3x^2-x+2)/(x-1)	$\frac{(x^{3} + 3 x^{2} - x + 2)}{(x - 1)}$
156399	Find the Remainder	(x^3+4x^2+5x+7)/(x+1)	$\frac{(x^{3} + 4 x^{2} + 5 x + 7)}{(x + 1)}$
156400	Find the Remainder	(5x^3-6x^2-8x+9)/(x^4+2x^3+x+1)	$\frac{(5 x^{3} - 6 x^{2} - 8 x + 9)}{x^{4} + 2 x^{3} + x + 1}$