Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
93701	Subtract	(5x)/(x-7)-(4x)/(x-3)	$\frac{5 x}{x - 7} - \frac{4 x}{x - 3}$
93702	Divide Using Long Polynomial Division	(10x^4-14x^3-10x^2+6x-10)/(x^3-3x^2+x-2)	$\frac{(10 x^{4} - 14 x^{3} - 10 x^{2} + 6 x - 10)}{x^{3} - 3 x^{2} + x - 2}$
93703	Divide Using Long Polynomial Division	(-150x^2+15x^4+135)/(3x+9)	$\frac{(- 150 x^{2} + 15 x^{4} + 135)}{(3 x + 9)}$
93704	Subtract	6/x-(2x)/(x+2)	$\frac{6}{x} - \frac{2 x}{x + 2}$
93705	Divide Using Long Polynomial Division	(-16x^3-28x^2-6x+7)/(4x+5)	$\frac{(- 16 x^{3} - 28 x^{2} - 6 x + 7)}{(4 x + 5)}$
93706	Divide Using Long Polynomial Division	(2x^2-5x-3)/(x-3)	$\frac{(2 x^{2} - 5 x - 3)}{(x - 3)}$
93707	Multiply	square root of x+4* square root of x-4	$\sqrt{x + 4} \cdot \sqrt{x - 4}$
93708	Divide Using Long Polynomial Division	(2x^3-9x^2-2x+k)/(x-2)	$\frac{(2 x^{3} - 9 x^{2} - 2 x + k)}{(x - 2)}$
93709	Multiply	square root of 2* square root of 2	$\sqrt{2} \cdot \sqrt{2}$
93710	Divide Using Long Polynomial Division	(2x^4-5x^3-10x+8)/(x-3)	$\frac{(2 x^{4} - 5 x^{3} - 10 x + 8)}{x - 3}$
93711	Multiply	square root of 3* square root of 3	$\sqrt{3} \cdot \sqrt{3}$
93712	Divide Using Long Polynomial Division	(30x^3+4x^2-150)/(3x-5)	$\frac{(30 x^{3} + 4 x^{2} - 150)}{(3 x - 5)}$
93713	Divide Using Long Polynomial Division	(30x^3+4x^2-150)/(6x-10)	$\frac{(30 x^{3} + 4 x^{2} - 150)}{(6 x - 10)}$
93714	Subtract	y/(4y+8)-1/(y^2+2y)	$\frac{y}{4 y + 8} - \frac{1}{y^{2} + 2 y}$
93715	Divide Using Long Polynomial Division	(36a^5b^8c^9+32a^8b^7c^4-12a^9b^3c)/(7a^2b^2c)	$\frac{(36 a^{5} b^{8} c^{9} + 32 a^{8} b^{7} c^{4} - 12 a^{9} b^{3} c)}{7 a^{2} b^{2} c}$
93716	Subtract	(x-7)/(x+1)-5/(x+6)	$\frac{x - 7}{x + 1} - \frac{5}{x + 6}$
93717	Divide Using Long Polynomial Division	(36x^3-96x^2+48x)/(12x)	$\frac{(36 x^{3} - 96 x^{2} + 48 x)}{12 x}$
93718	Solve for x	3^(x-1)=7	$3^{x - 1} = 7$
93719	Solve for w	1w=-17	$1 w = - 17$
93720	Divide Using Long Polynomial Division	(3x^3-2x^2+4x-3)/(x^2+3x+3)	$\frac{(3 x^{3} - 2 x^{2} + 4 x - 3)}{(x^{2} + 3 x + 3)}$
93721	Simplify	3a^2b^-1	$3 a^{2} b^{- 1}$
93722	Divide Using Long Polynomial Division	(4x^2-10x-24)/(2x+3)	$\frac{(4 x^{2} - 10 x - 24)}{(2 x + 3)}$
93723	Simplify	11i(5+8i)	$11 i (5 + 8 i)$
93724	Subtract	x/(x^2-25)-1/(x^2-10x+25)	$\frac{x}{x^{2} - 25} - \frac{1}{x^{2} - 10 x + 25}$
93725	Divide Using Long Polynomial Division	(4x^4-5x^3+2x^2-x+5)/(x^2+x+1)	$\frac{(4 x^{4} - 5 x^{3} + 2 x^{2} - x + 5)}{(x^{2} + x + 1)}$
93726	Divide Using Long Polynomial Division	(5x^2-17x-15)/(x-4)	$\frac{(5 x^{2} - 17 x - 15)}{x - 4}$
93727	Subtract	x/(x^2-25)-6/(x^2-10x+25)	$\frac{x}{x^{2} - 25} - \frac{6}{x^{2} - 10 x + 25}$
93728	Divide Using Long Polynomial Division	(5x^4+7x^3-3x^2+2x-6)/(x^2-3)	$\frac{(5 x^{4} + 7 x^{3} - 3 x^{2} + 2 x - 6)}{(x^{2} - 3)}$
93729	Subtract	x/(x^2-16)-1/(x^2-8x+16)	$\frac{x}{x^{2} - 16} - \frac{1}{x^{2} - 8 x + 16}$
93730	Divide Using Long Polynomial Division	(5x^5+90x^2-135x)/(x+3)	$\frac{(5 x^{5} + 90 x^{2} - 135 x)}{(x + 3)}$
93731	Divide Using Long Polynomial Division	(-60x^2+18x^4-48)/(2x-4)	$\frac{(- 60 x^{2} + 18 x^{4} - 48)}{(2 x - 4)}$
93732	Subtract	x/(x+4)-(x+36)/(x^2-16)	$\frac{x}{x + 4} - \frac{x + 36}{x^{2} - 16}$
93733	Divide Using Long Polynomial Division	(6x^2+x-7)/(2x+3)	$\frac{(6 x^{2} + x - 7)}{2 x + 3}$
93734	Divide Using Long Polynomial Division	(6x^3+3x^2-4)/(x^2+3)	$\frac{(6 x^{3} + 3 x^{2} - 4)}{(x^{2} + 3)}$
93735	Divide Using Long Polynomial Division	(7x^3+x^2+x)/(x^2+1)	$\frac{(7 x^{3} + x^{2} + x)}{(x^{2} + 1)}$
93736	Divide Using Long Polynomial Division	(-99x^2+12x^4-81)/(3x+9)	$\frac{(- 99 x^{2} + 12 x^{4} - 81)}{(3 x + 9)}$
93737	Divide Using Long Polynomial Division	(9x^2-41x-6)/(x-4)	$\frac{(9 x^{2} - 41 x - 6)}{(x - 4)}$
93738	Subtract	(x+6)/(x+5)-(x-2)/x	$\frac{x + 6}{x + 5} - \frac{x - 2}{x}$
93739	Divide Using Long Polynomial Division	(m^2-7m-11)/(m-8)	$\frac{(m^{2} - 7 m - 11)}{(m - 8)}$
93740	Solve the System of @WORD	y=-3x , y=4x+1	$y = - 3 x$ , $y = 4 x + 1$
93741	Divide Using Long Polynomial Division	(x^2+17x+72)/(x+8)	$\frac{(x^{2} + 17 x + 72)}{(x + 8)}$
93742	Divide Using Long Polynomial Division	(x^2+9x+20)/(x+4)	$\frac{(x^{2} + 9 x + 20)}{(x + 4)}$
93743	Solve by Graphing	x^2+4=0	$x^{2} + 4 = 0$
93744	Divide Using Long Polynomial Division	(x^3+2x^2-5x-6)/(x-2)	$\frac{(x^{3} + 2 x^{2} - 5 x - 6)}{x - 2}$
93745	Simplify	(x^2+3x-18)/(x^2-1)*(2x^2-2x)/(2x^2+12x)	$\frac{x^{2} + 3 x - 18}{x^{2} - 1} \cdot \frac{2 x^{2} - 2 x}{2 x^{2} + 12 x}$
93746	Determine if Linear	xy=6	$x y = 6$
93747	Divide Using Long Polynomial Division	(x^3+4x^2-3x-12)/(x-3)	$\frac{(x^{3} + 4 x^{2} - 3 x - 12)}{(x - 3)}$
93748	Determine if True	9+10=21	$9 + 10 = 21$
93749	Determine if True	log of 6*36=2	$\log (6) \cdot 36 = 2$
93750	Divide Using Long Polynomial Division	(x^3-2x^2-22x+40)/(x-4)	$\frac{(x^{3} - 2 x^{2} - 22 x + 40)}{(x - 4)}$
93751	Divide Using Long Polynomial Division	(x^3-3x^2+5x-3)/(x^2-2)	$\frac{(x^{3} - 3 x^{2} + 5 x - 3)}{x^{2} - 2}$
93752	Determine if True	4 = log base 7 of 2401	$4 = \log_{7} (2401)$
93753	Divide Using Long Polynomial Division	(x^3-3x^2-9x-5)/(x+1)	$\frac{(x^{3} - 3 x^{2} - 9 x - 5)}{(x + 1)}$
93754	Determine if True	4=4	$4 = 4$
93755	Determine if True	4 = log base 9 of 6561	$4 = \log_{9} (6561)$
93756	Divide Using Long Polynomial Division	(x^3-512)/(x+8)	$\frac{(x^{3} - 512)}{x + 8}$
93757	Solve for x	7x-12<7(x-1)	$7 x - 12 < 7 (x - 1)$
93758	Solve for x	5x<16+x	$5 x < 16 + x$
93759	Divide Using Long Polynomial Division	(x^4+x^3-10x^2+22x-8)/(x^2-3x+4)	$\frac{(x^{4} + x^{3} - 10 x^{2} + 22 x - 8)}{x^{2} - 3 x + 4}$
93760	Solve Using the Quadratic Formula	x^2-12x+59=0	$x^{2} - 12 x + 59 = 0$
93761	Find the Domain and Range	f(x)=(3x-1)/2	$f (x) = \frac{3 x - 1}{2}$
93762	Find the Slope	2x-1=0	$2 x - 1 = 0$
93763	Divide Using Long Polynomial Division	(10x^2+23x+5)/(5x+4)	$\frac{10 x^{2} + 23 x + 5}{5 x + 4}$
93764	Solve for x	e^(x+1)=13	$e^{x + 1} = 13$
93765	Divide Using Long Polynomial Division	(-10x^3+2x^2+23x+12)÷(5x+4)	$(- 10 x^{3} + 2 x^{2} + 23 x + 12) \div (5 x + 4)$
93766	Divide Using Long Polynomial Division	(10x^4+22x^3-5x^2+9x-9)/(2x^2+4x-3)	$\frac{10 x^{4} + 22 x^{3} - 5 x^{2} + 9 x - 9}{2 x^{2} + 4 x - 3}$
93767	Divide Using Long Polynomial Division	(10x^4-12x^3+18x^2+4x+2)/(2x^2+2)	$\frac{10 x^{4} - 12 x^{3} + 18 x^{2} + 4 x + 2}{2 x^{2} + 2}$
93768	Divide Using Long Polynomial Division	(10x^5+2x^4-32x^3-4x^2+24x)/(2x^3-4x)	$\frac{10 x^{5} + 2 x^{4} - 32 x^{3} - 4 x^{2} + 24 x}{2 x^{3} - 4 x}$
93769	Divide Using Long Polynomial Division	(12x^2+24x+4)/(6x+3)	$\frac{12 x^{2} + 24 x + 4}{6 x + 3}$
93770	Factor	27d^6+8g^12	$27 d^{6} + 8 g^{12}$
93771	Divide Using Long Polynomial Division	(12x^3+25x^2+0x+5)/(3x+4)	$\frac{12 x^{3} + 25 x^{2} + 0 x + 5}{3 x + 4}$
93772	Graph	f(x)=10^x	$f (x) = 10^{x}$
93773	Divide Using Long Polynomial Division	(12x^3-7x^2+11x+14)/(3x+2)	$\frac{12 x^{3} - 7 x^{2} + 11 x + 14}{3 x + 2}$
93774	Graph	y=(x-2)^2+5	$y = {(x - 2)}^{2} + 5$
93775	Divide Using Long Polynomial Division	(12x^4-15x^3+24x^2+4x+6)/(3x^2+3)	$\frac{12 x^{4} - 15 x^{3} + 24 x^{2} + 4 x + 6}{3 x^{2} + 3}$
93776	Find a,b,c	(2x-1)^2=(x+1)^2	${(2 x - 1)}^{2} = {(x + 1)}^{2}$
93777	Graph	y=2/3x+3	$y = \frac{2}{3} x + 3$
93778	Graph	8x-4y=8	$8 x - 4 y = 8$
93779	Divide Using Long Polynomial Division	(15x^2-8x-15)÷(3x-4)	$(15 x^{2} - 8 x - 15) \div (3 x - 4)$
93780	Evaluate	64^(2/6)	$64^{\frac{2}{6}}$
93781	Divide Using Long Polynomial Division	(15x^4-18x^3+27x^2+5x+1)/(3x^2+3)	$\frac{15 x^{4} - 18 x^{3} + 27 x^{2} + 5 x + 1}{3 x^{2} + 3}$
93782	Graph	y=3/(x+2)	$y = \frac{3}{x + 2}$
93783	Divide Using Long Polynomial Division	(15x^5+3x^4-33x^3-3x^2+18x)/(3x^3-3x)	$\frac{15 x^{5} + 3 x^{4} - 33 x^{3} - 3 x^{2} + 18 x}{3 x^{3} - 3 x}$
93784	Solve by Graphing	log base 2 of 3x-1 = log base 4 of x+8	$\log_{2} (3 x - 1) = \log_{4} (x + 8)$
93785	Divide Using Long Polynomial Division	(15x^5-2x^4+12x^3-4x^2+x-3)÷(3x^3+2x^2+7x-2)	$(15 x^{5} - 2 x^{4} + 12 x^{3} - 4 x^{2} + x - 3) \div (3 x^{3} + 2 x^{2} + 7 x - 2)$
93786	Solve the System of @WORD	2x+y=4 , x-1=0	$2 x + y = 4$ , $x - 1 = 0$
93787	Divide Using Long Polynomial Division	(-16b+64b^2-1)/(8b-1)	$\frac{- 16 b + 64 b^{2} - 1}{8 b - 1}$
93788	Find Where Undefined/Discontinuous	f(x)=(x^2-36)/(x^3-36x)	$f (x) = \frac{x^{2} - 36}{x^{3} - 36 x}$
93789	Divide Using Long Polynomial Division	(180x+150)/(-216x^2+150)	$\frac{180 x + 150}{- 216 x^{2} + 150}$
93790	Solve for x	2(x-4)=6(x+2)	$2 (x - 4) = 6 (x + 2)$
93791	Divide Using Long Polynomial Division	(20a^4b^2+36a^3b^3-28a^2b^2)÷4a^2b	$(20 a^{4} b^{2} + 36 a^{3} b^{3} - 28 a^{2} b^{2}) \div 4 a^{2} b$
93792	Solve for x	5^(x-1)=45	$5^{x - 1} = 45$
93793	Divide Using Long Polynomial Division	(-20s^2+80t^2)/(-5s+10t)	$\frac{- 20 s^{2} + 80 t^{2}}{- 5 s + 10 t}$
93794	Solve the System of @WORD	4x+8y=8 , 4x+y=8	$4 x + 8 y = 8$ , $4 x + y = 8$
93795	Divide Using Long Polynomial Division	((21x^2+x-2)/(3x-3))÷((49x^2-4)/(x-1))	$\frac{21 x^{2} + x - 2}{3 x - 3} \div \frac{49 x^{2} - 4}{x - 1}$
93796	Solve the System of @WORD	x+2y=2 , x+y=0	$x + 2 y = 2$ , $x + y = 0$
93797	Solve the System of @WORD	x+4y<12 , y<3	$x + 4 y < 12$ , $y < 3$
93798	Divide Using Long Polynomial Division	((25x^2-4)/(2x^2-11x-21))÷((5x-2)/(2x-14))	$\frac{25 x^{2} - 4}{2 x^{2} - 11 x - 21} \div \frac{5 x - 2}{2 x - 14}$
93799	Divide Using Long Polynomial Division	(27x^3-125)/(3x-5)	$\frac{27 x^{3} - 125}{3 x - 5}$
93800	Solve the System of @WORD	x+y>3 , x+y<-2	$x + y > 3$ , $x + y < - 2$