Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
20001	Find the LCD	3/(4x) , 7/(2x) , 11/(12x)	$\frac{3}{4 x}$ , $\frac{7}{2 x}$ , $\frac{11}{12 x}$
20002	Simplify	9m^7n3m^2n^2-4m^45m^5n^3	$9 m^{7} n \cdot 3 m^{2} n^{2} - 4 m^{4} \cdot 5 m^{5} n^{3}$
20003	Solve for x	3/(2x)-1/(2(x+8))=1	$\frac{3}{2 x} - \frac{1}{2 (x + 8)} = 1$
20004	Simplify	(7x^4+x^3)-(6x^4+4x^3+3)	$(7 x^{4} + x^{3}) - (6 x^{4} + 4 x^{3} + 3)$
20005	Simplify the Matrix	Find DE_ifD=[[-2,4,6],[5,-7,-1]] and E=[[1,-2],[0,4],[-3,4]]	Find $D E_{i} f D = [\begin{array}{c} - 2 & 4 & 6 \\ 5 & - 7 & - 1 \end{array}]$ and $E = [\begin{array}{c} 1 & - 2 \\ 0 & 4 \\ - 3 & 4 \end{array}]$
20006	Find Where Undefined/Discontinuous	f(x)=(5x+1)/(x^2+4)	$f (x) = \frac{5 x + 1}{x^{2} + 4}$
20007	Solve the Function Operation	f(x)=x^2-x+11 g(x)=-x-4 Find: (gof)(x)	$f (x) = x^{2} - x + 11$ $g (x) = - x - 4$ Find: $((g \circ f)) (x)$
20008	Identify the Zeros and Their Multiplicities	h(x)=-2x(x-1)(3-x)^2	$h (x) = - 2 x (x - 1) {(3 - x)}^{2}$
20009	Divide Using Long Polynomial Division	(8x^4-64x^3+3x-28)÷(x-8)	$(8 x^{4} - 64 x^{3} + 3 x - 28) \div (x - 8)$
20010	Evaluate	10 = square root of 14r+2	$10 = \sqrt{14 r + 2}$
20011	Graph	y=(2x^2-3x-2)/(x^2-2)	$y = \frac{2 x^{2} - 3 x - 2}{x^{2} - 2}$
20012	Solve the Function Operation	Given that f(x)=x^2+9x+20 and g(x)=x+5 ; find f(x)+g(x) and express the result in standard form.	Given that $f (x) = x^{2} + 9 x + 20$ and $g (x) = x + 5$ ; find $f (x) + g (x)$ and express the result in standard form.
20013	Evaluate the Integral	If integral from 0 to a of 3x^2 with respect to x=1	If $\int_{0}^{a} 3 x^{2} d x = 1$
20014	Evaluate	1/( square root of 3/2)	$\frac{1}{\sqrt{\frac{3}{2}}}$
20015	Find the Derivative - d/dx	( square root of 3x^2)/2	$\frac{\sqrt{3 x^{2}}}{2}$
20016	Solve for x	-5/2(6x+24)=x-12	$- \frac{5}{2} (6 x + 24) = x - 12$
20017	Solve the Inequality for x	2x=6	$2 x = 6$
20018	Simplify	(-2)^3(3)^0	${(- 2)}^{3} {(3)}^{0}$
20019	Solve for n	625^(3n)=25	$625^{3 n} = 25$
20020	Convert to Rectangular	(4+4 square root of 3i)^6	${(4 + 4 \sqrt{3 i})}^{6}$
20021	Solve for x	log base y of x+ log base y of 3 = log base y of 27-1	$\log_{y} (x) + \log_{y} (3) = \log_{y} (27) - 1$
20022	Solve for c	(2c)/15=8.8	$\frac{2 c}{15} = 8.8$
20023	Divide	(-1/4)÷(-1/2)	$\frac{- 1}{4} \div \frac{- 1}{2}$
20024	Simplify	(1+i)+(1-i)	$(1 + i) + (1 - i)$
20025	Write in Standard Form	(x^2+3x+2)(x^2-3x-4)	$(x^{2} + 3 x + 2) (x^{2} - 3 x - 4)$
20026	Solve for x	2 cube root of 3x+2 = cube root of 4x-9	$2 \sqrt[3]{3 x + 2} = \sqrt[3]{4 x - 9}$
20027	Find the GCF	5b and 6b	$5 b$ and $6 b$
20028	Solve the Inequality for m	3\|m+7\|+9<30	$3 \| m + 7 \| + 9 < 30$
20029	Simplify	((2^-1)/(2^0))^3	${(\frac{2^{- 1}}{2^{0}})}^{3}$
20030	Solve the System of Equations	-2x+y=15 and 3x+2y=-33	$- 2 x + y = 15$ and $3 x + 2 y = - 33$
20031	Solve for x	square root of 100=2x	$\sqrt{100} = 2 x$
20032	Simplify	11x+2x^2+-7x-3x^2+4	$11 x + 2 x^{2} + - 7 x - 3 x^{2} + 4$
20033	Simplify	Simplify cube root of -216x^3y^12	Simplify $\sqrt[3]{- 216 x^{3} y^{12}}$
20034	Solve for a	3/5=(a+5)/25	$\frac{3}{5} = \frac{a + 5}{25}$
20035	Simplify	1/3-5/6	$\frac{1}{3} - \frac{5}{6}$
20036	Find the x and y Intercepts	(x^2+x)/(4x+4)	$\frac{x^{2} + x}{4 x + 4}$
20037	Solve for f	fx+4=-11+2(x+3)	$f x + 4 = - 11 + 2 (x + 3)$
20038	Evaluate the Integral	integral from 0 to x^3 of f(8) with respect to t=x^4	$\int_{0}^{x^{3}} f (8) d t = x^{4}$
20039	Find the Asymptotes	(x^2+x)/(4x+4)	$\frac{x^{2} + x}{4 x + 4}$
20040	Simplify	(6m)(7m^2n)(n^4)	$(6 m) (7 m^{2} n) (n^{4})$
20041	Simplify	(2x^2y^-3z^-1)^-2	${(2 x^{2} y^{- 3} z^{- 1})}^{- 2}$
20042	Solve for x	x+7+7/2=(3x-7)/10	$x + 7 + \frac{7}{2} = \frac{3 x - 7}{10}$
20043	Solve for p	5+ square root of p+10=6	$5 + \sqrt{p + 10} = 6$
20044	Divide Using Synthetic Division	(42x^2-33)÷(7x+7)	$(42 x^{2} - 33) \div (7 x + 7)$
20045	Solve the Inequality for y	x-3y<=-6	$x - 3 y \leq - 6$
20046	Simplify	(7x+4)/(8y)-(3x-1)/(6y)	$\frac{7 x + 4}{8 y} - \frac{3 x - 1}{6 y}$
20047	Simplify	(x^2-4x-21)/(x^2-6x+8)*(x-4)/(x^2-2x-35)	$\frac{x^{2} - 4 x - 21}{x^{2} - 6 x + 8} \cdot \frac{x - 4}{x^{2} - 2 x - 35}$
20048	Evaluate	3 log of 2x=4	$3 \log (2 x) = 4$
20049	Solve the Inequality for x	2x^2+19x-28>9x	$2 x^{2} + 19 x - 28 > 9 x$
20050	Find the Reference Angle	cos(390 degrees )	$\cos (390 °)$
20051	Divide	(45v^4+18v^3+4v^2)÷9v^3	$(45 v^{4} + 18 v^{3} + 4 v^{2}) \div 9 v^{3}$
20052	Find the Domain of the Composition f(g(x))	f(x)=4x^2 , g(x)=(2x)/4	$f (x) = 4 x^{2}$ , $g (x) = \frac{2 x}{4}$
20053	Solve for h	-8(-h-3)=-16h	$- 8 (- h - 3) = - 16 h$
20054	Find All Complex Solutions	tan(x)sin(x)^2=tan(x)	$\tan (x) \sin^{2} (x) = \tan (x)$
20055	Solve the System of Equations	2x^2+8y^2=16 x^2+y^2=5	$2 x^{2} + 8 y^{2} = 16$ $x^{2} + y^{2} = 5$
20056	Solve for x	2^(-x+1)=-3/4x+3	$2^{- x + 1} = - \frac{3}{4} x + 3$
20057	Solve for x	-x+6 = square root of x+4+3	$- x + 6 = \sqrt{x + 4} + 3$
20058	Find the Product	5r^2s^2(-2r^2+3rs-4s^2)	$5 r^{2} s^{2} (- 2 r^{2} + 3 r s - 4 s^{2})$
20059	Solve for y	-2y+5+y^2=-6y+2y^2	$- 2 y + 5 + y^{2} = - 6 y + 2 y^{2}$
20060	Divide	( cube root of 3)/( square root of 3)	$\frac{\sqrt[3]{3}}{\sqrt{3}}$
20061	Solve the Inequality for y	-3x+6y<=30	$- 3 x + 6 y \leq 30$
20062	Find the Maximum/Minimum Value	f(x)=x^4-x^2+x	$f (x) = x^{4} - x^{2} + x$
20063	Write as a Single Logarithm	log of 4- log of z+4 log of y	$\log (4) - \log (z) + 4 \log (y)$
20064	Solve the Inequality for x	(x-3)/2-1/6<=(x-5)/3	$\frac{x - 3}{2} - \frac{1}{6} \leq \frac{x - 5}{3}$
20065	Solve for u	8u+8=-40u-7	$8 u + 8 = - 40 u - 7$
20066	Solve for y	4-4y-y^2=0	$4 - 4 y - y^{2} = 0$
20067	Solve for θ	sin(2theta)=sin(theta)	$\sin (2 θ) = \sin (θ)$
20068	Graph	x+y<=2 and y<=-2	$x + y \leq 2$ and $y \leq - 2$
20069	Find the Roots (Zeros)	(x+5)(x-5)=-9	$(x + 5) (x - 5) = - 9$
20070	Evaluate	7(5)^(5/3)+49(5)^(2/3)	$7 {(5)}^{\frac{5}{3}} + 49 {(5)}^{\frac{2}{3}}$
20071	Solve the Function Operation	f(x)=-x+6 if x<1; -5 if x=1; x+4 if x>1 Find f(1)	$f (x) = {\begin{cases} - x + 6 & x < 1 \\ - 5 & x = 1 \\ x + 4 & x > 1 \end{cases}$ Find $f (1)$
20072	Solve for n	-19=-3-n^2	$- 19 = - 3 - n^{2}$
20073	Simplify the Radical Expression	square root of 49/(y^2)	$\sqrt{\frac{49}{y^{2}}}$
20074	Evaluate	2 square root of 5x-4-3=-11	$2 \sqrt{5 x - 4} - 3 = - 11$
20075	Convert to a Decimal	24deg	$24$ degrees
20076	Graph	b/3+1>0	$\frac{b}{3} + 1 > 0$
20077	Factor	-48a^2b^2-56a^3b-56a^5b	$- 48 a^{2} b^{2} - 56 a^{3} b - 56 a^{5} b$
20078	Simplify	(a-(b-c))-((a-b)-c)	$(a - (b - c)) - ((a - b) - c)$
20079	Find dy/dx	-5x^3-y^3+1=0	$- 5 x^{3} - y^{3} + 1 = 0$
20080	Solve for x	-2+9/(2x)=5/2	$- 2 + \frac{9}{2 x} = \frac{5}{2}$
20081	Solve the Rational Equation for x	square root of x+15=5+ square root of x	$\sqrt{x + 15} = 5 + \sqrt{x}$
20082	Simplify	15 root of x^10y^15	$\sqrt[15]{x^{10} y^{15}}$
20083	Find the Holes in the Graph	(3x^2-12x)/(x^2-2x-3)	$\frac{3 x^{2} - 12 x}{x^{2} - 2 x - 3}$
20084	Determine if Linear	2x^3=y-11	$2 x^{3} = y - 11$
20085	Solve the System of Equations	x+3y+2z=2 -2x-2y=-12 -x-2y-z=-4	$x + 3 y + 2 z = 2$ $- 2 x - 2 y = - 12$ $- x - 2 y - z = - 4$
20086	Simplify	13+(-2x)/9+12	$13 + \frac{- 2 x}{9} + 12$
20087	Simplify	(x^4y^3)^2*(x^3y^5)^3	${(x^{4} y^{3})}^{2} \cdot {(x^{3} y^{5})}^{3}$
20088	Simplify	(14xy^5(2x-3y))/(21x^2y(2x-3y)^2)	$\frac{14 x y^{5} (2 x - 3 y)}{21 x^{2} y {(2 x - 3 y)}^{2}}$
20089	Simplify	2q square root of 700q^4-q square root of 175q^4	$2 q \sqrt{700 q^{4}} - q \sqrt{175 q^{4}}$
20090	Simplify	(12a^-5)/(36b^3)	$\frac{12 a^{- 5}}{36 b^{3}}$
20091	Graph Using a Table of Values	y=(3)^x	$y = {(3)}^{x}$
20092	Convert to Radical Form	2b^(1/2)(3b^(1/2)c^(1/3))^2	$2 b^{\frac{1}{2}} {(3 b^{\frac{1}{2}} c^{\frac{1}{3}})}^{2}$
20093	Find the LCD	5/(2(x+1)) , 9/(2x) , 1/4	$\frac{5}{2 (x + 1)}$ , $\frac{9}{2 x}$ , $\frac{1}{4}$
20094	Evaluate	sin((-pi)/2)	$\sin (\frac{- π}{2})$
20095	Solve the System of Equations	x-2y+2z=9 y+2z=5 z=3	$x - 2 y + 2 z = 9$ $y + 2 z = 5$ $z = 3$
20096	Find the GCF	64 and 144	$64$ and $144$
20097	Evaluate the Integral	integral of x^2(4x-3)(2x+1) with respect to x	$\int x^{2} (4 x - 3) (2 x + 1) d x$
20098	Solve the System of Equations	-2x+2y=10 and -9x+8y=46	$- 2 x + 2 y = 10$ and $- 9 x + 8 y = 46$
20099	Simplify	csc(x)^2(1-sec(x)^2)	$\csc^{2} (x) (1 - \sec^{2} (x))$
20100	Simplify	5/(3i-1)	$\frac{5}{3 i - 1}$