Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
224201	Write as a Single Logarithm	log base 2 of 27+ log base 2 of 4-2* log base 2 of 3	$\log_{2} (27) + \log_{2} (4) - 2 \cdot \log_{2} (3)$
224202	Evaluate	(x^2-1/x)/(1-1/x)	$\frac{x^{2} - \frac{1}{x}}{1 - \frac{1}{x}}$
224203	Solve for x	-9/4=-5/4x	$- \frac{9}{4} = - \frac{5}{4} x$
224204	Solve for c	x^2-7x+c=(x+a)^2	$x^{2} - 7 x + c = {(x + a)}^{2}$
224205	Find the Exact Value	arcos (( square root of 3)/2)	arcos $(\frac{\sqrt{3}}{2})$
224206	Factor	(x^2-5x-14)/(x^2-49)	$\frac{x^{2} - 5 x - 14}{x^{2} - 49}$
224207	Evaluate	x+4=x^2	$x + 4 = x^{2}$
224208	Evaluate	(3(4)+6^2)/4	$\frac{3 (4) + 6^{2}}{4}$
224209	Simplify	( cube root of 6x^2y)( cube root of 9xy^5)	$(\sqrt[3]{6 x^{2} y}) (\sqrt[3]{9 x y^{5}})$
224210	Simplify	2x-x/2	$2 x - \frac{x}{2}$
224211	Simplify	(3/3*(x^2-36)/(x-6))÷((x^2+4x-12)/(x-2))	$\frac{3}{3} \cdot \frac{x^{2} - 36}{x - 6} \div \frac{x^{2} + 4 x - 12}{x - 2}$
224212	Simplify	(5x+1)/(x^2-64)-(4x-7)/(x^2-64)	$\frac{5 x + 1}{x^{2} - 64} - \frac{4 x - 7}{x^{2} - 64}$
224213	Simplify	cube root of 2( cube root of 4+ cube root of 12)	$\sqrt[3]{2} (\sqrt[3]{4} + \sqrt[3]{12})$
224214	Simplify	(4+4 square root of 3i)^6	${(4 + 4 \sqrt{3 i})}^{6}$
224215	Simplify	3/(y+3)+(2y)/(y^2+8x+15)	$\frac{3}{y + 3} + \frac{2 y}{y^{2} + 8 x + 15}$
224216	Multiply	x(7x-1)	$x (7 x - 1)$
224217	Solve for y	-4/7=6/(2y+5)	$\frac{- 4}{7} = \frac{6}{2 y + 5}$
224218	Write in Standard Form	2(x-3)^2=0	$2 {(x - 3)}^{2} = 0$
224219	Evaluate	(4.5*180)/pi	$\frac{4.5 \cdot 180}{π}$
224220	Solve the System of Inequalities	y>3x+2 and y<2x+3	$y > 3 x + 2$ and $y < 2 x + 3$
224221	Solve for F	K=5/9(F+459.67)	$K = \frac{5}{9} (F + 459.67)$
224222	Graph	y>=2/5x+4 y<=2/5x-6	$y \geq \frac{2}{5} x + 4$ $y \leq \frac{2}{5} x - 6$
224223	Evaluate	-1 1/4-(-1/2)	$- 1 \frac{1}{4} - (- \frac{1}{2})$
224224	Graph	y<=0 x<=4	$y \leq 0$ $x \leq 4$
224225	Expand the Logarithmic Expression	log base 6 of (8/5)^4	$\log_{6} ({(\frac{8}{5})}^{4})$
224226	Solve the Inequality for x	2x-1>0	$2 x - 1 > 0$
224227	Evaluate	tan(165 degrees )	$\tan (165 °)$
224228	Graph	cos(theta)>0 and tan(theta)<0	$\cos (θ) > 0$ and $\tan (θ) < 0$
224229	Solve the Inequality for y	5<=y+2<=11	$5 \leq y + 2 \leq 11$
224230	Evaluate	x+5<=13	$x + 5 \leq 13$
224231	Solve the System of Inequalities	-3b-5>-8 or b-4<=0	$- 3 b - 5 > - 8$ or $b - 4 \leq 0$
224232	Multiply	-112/3x(-41/5)	$- \frac{112}{3} x (- \frac{41}{5})$
224233	Solve for n	119=6n^2-1	$119 = 6 n^{2} - 1$
224234	Multiply	(x^2-16)/(x^2-4x+4)*(x-2)/(x^2+6x+8)	$\frac{x^{2} - 16}{x^{2} - 4 x + 4} \cdot \frac{x - 2}{x^{2} + 6 x + 8}$
224235	Write in Slope-Intercept Form	(2,-1) and (4,5)	$(2, - 1)$ and $(4, 5)$
224236	Evaluate Using the Given Value	3t if t=2	$3 t$ if $t = 2$
224237	Evaluate	1*2^-2	$1 \cdot 2^{- 2}$
224238	Find the Distance Between Two Points	P_1=(5,310 degrees ) , P_2=(6,345 degrees )	$P_{1} = (5, 310 °)$ , $P_{2} = (6, 345 °)$
224239	Simplify	((y^5z)^(1/10))/(y^(-1/2)z^(1/5))	$\frac{{(y^{5} z)}^{\frac{1}{10}}}{y^{- \frac{1}{2}} z^{\frac{1}{5}}}$
224240	Solve the System of Equations	2x+y-10=0 x-y-4=0	$2 x + y - 10 = 0$ $x - y - 4 = 0$
224241	Simplify	((-2x)/(x-y))/(y/(x^2))	$\frac{\frac{- 2 x}{x - y}}{\frac{y}{x^{2}}}$
224242	Solve for n	n+11-n=21	$n + 11 - n = 21$
224243	Multiply	10/9*3/2	$\frac{10}{9} \cdot \frac{3}{2}$
224244	Simplify the Radical Expression	-(-6)^5	$- {(- 6)}^{5}$
224245	Find the Product	(4r^0)^4	${(4 r^{0})}^{4}$
224246	Find the Perfect Square Trinomial	(x+3y)^2	${(x + 3 y)}^{2}$
224247	Solve for x	0=4x^3-4x	$0 = 4 x^{3} - 4 x$
224248	Simplify	cube root of (p^5q^3)/40	$\sqrt[3]{\frac{p^{5} q^{3}}{40}}$
224249	Find the Exact Value	(8^2-48)/(2^3)	$\frac{(8^{2} - 48)}{2^{3}}$
224250	Simplify	( fourth root of 16x^3y^3)/(2xy)	$\frac{\sqrt[4]{16 x^{3} y^{3}}}{2 x y}$
224251	Simplify	3x square root of 25x-9x square root of 4x-3x square root of x	$3 x \sqrt{25 x} - 9 x \sqrt{4 x} - 3 x \sqrt{x}$
224252	Evaluate	(5*2^4)÷8	$5 \cdot 2^{4} \div 8$
224253	Evaluate	cos(theta)=3/5	$\cos (θ) = \frac{3}{5}$
224254	Evaluate the Function	f(x)=2x^2 at x=1	$f (x) = 2 x^{2}$ at $x = 1$
224255	Find the Holes in the Graph	f(x)=((x-3)(x-6)(x+4))/((x-3)^2(x-6)(x-8))	$f (x) = \frac{(x - 3) (x - 6) (x + 4)}{{(x - 3)}^{2} (x - 6) (x - 8)}$
224256	Simplify	((5x^2+4x-1)/(2x+6))÷((x^2-1)/(x^2+2x-3))	$\frac{5 x^{2} + 4 x - 1}{2 x + 6} \div \frac{x^{2} - 1}{x^{2} + 2 x - 3}$
224257	Graph	y<8 y>=3	$y < 8$ $y \geq 3$
224258	Solve for x	2x^2-20x=x^2-19	$2 x^{2} - 20 x = x^{2} - 19$
224259	Solve for x	fourth root of x-1+2=0	$\sqrt[4]{x - 1} + 2 = 0$
224260	Simplify	2y square root of 8y^3-y^2 square root of 50y+3 square root of 2y^5	$2 y \sqrt{8 y^{3}} - y^{2} \sqrt{50 y} + 3 \sqrt{2 y^{5}}$
224261	Solve for x	e^(x/2+1)+3=8	$e^{\frac{x}{2} + 1} + 3 = 8$
224262	Graph	y>=-3x+1 y<=1/2x+3	$y \geq - 3 x + 1$ $y \leq \frac{1}{2} x + 3$
224263	Solve by Addition/Elimination	4x-y=-4 5x=2y+1	$4 x - y = - 4$ $5 x = 2 y + 1$
224264	Simplify	-2x^0+(2x^3)^0	$- 2 x^{0} + {(2 x^{3})}^{0}$
224265	Simplify	(x^2-11x+30)/(x^2-4)*(x-2)/(x^2+3x-40)	$\frac{x^{2} - 11 x + 30}{x^{2} - 4} \cdot \frac{x - 2}{x^{2} + 3 x - 40}$
224266	Graph	f(x)=(3x^2+x)/x	$f (x) = \frac{3 x^{2} + x}{x}$
224267	Simplify	(a-2y)/(a+y)-(y^2-5ay)/(a^2-y^2)	$\frac{(a - 2 y)}{a + y} - \frac{(y^{2} - 5 a y)}{a^{2} - y^{2}}$
224268	Simplify	((x^(-4k))/(y^5))^0	${(\frac{x^{- 4 k}}{y^{5}})}^{0}$
224269	Simplify	(-7 square root of 2+4 square root of 3)/(3 square root of 2-5 square root of 3)	$\frac{- 7 \sqrt{2} + 4 \sqrt{3}}{3 \sqrt{2} - 5 \sqrt{3}}$
224270	Evaluate	-7/(-7^2+1)	$\frac{- 7}{- 7^{2} + 1}$
224271	Solve for j	fourth root of j=5	$\sqrt[4]{j} = 5$
224272	Simplify the Radical Expression	square root of 20+2 square root of 80+ square root of 72- square root of 5	$\sqrt{20} + 2 \sqrt{80} + \sqrt{72} - \sqrt{5}$
224273	Divide Using Long Polynomial Division	Use the long division method to find the result when 8x^3+18x^2+11x+2 is divided by 2x+1	Use the long division method to find the result when $8 x^{3} + 18 x^{2} + 11 x + 2$ is divided by $2 x + 1$
224274	Simplify	((a-1)/a)/((a^2-1)/(a^2))	$\frac{\frac{a - 1}{a}}{\frac{a^{2} - 1}{a^{2}}}$
224275	Find the Roots (Zeros)	e^x	$e^{x}$
224276	Solve the Inequality for x	-5<5+2x<11	$- 5 < 5 + 2 x < 11$
224277	Evaluate	4x(5x+7)=4(5x^2+8x+4)	$4 x (5 x + 7) = 4 (5 x^{2} + 8 x + 4)$
224278	Simplify	(e^2f)^5	${(e^{2} f)}^{5}$
224279	Solve the Inequality for x	x^(4/3)<=27	$x^{\frac{4}{3}} \leq 27$
224280	Solve for v	0=v+19	$0 = v + 19$
224281	Simplify	(d-4)/(d^2+2d-8)-(d+2)/(d^2-16)	$\frac{d - 4}{d^{2} + 2 d - 8} - \frac{d + 2}{d^{2} - 16}$
224282	Solve for x	cube root of x^2+2x=-1	$\sqrt[3]{x^{2} + 2 x} = - 1$
224283	Solve for x	12+ square root of 2x-1=4	$12 + \sqrt{2 x - 1} = 4$
224284	Solve the System of Equations	1/3x+1/2y=6 1/4x+1/2y=3	$\frac{1}{3} x + \frac{1}{2} y = 6$ $\frac{1}{4} x + \frac{1}{2} y = 3$
224285	Write in Standard Form	5xy(2x-y)+6y^2(x^2+6)	$5 x y (2 x - y) + 6 y^{2} (x^{2} + 6)$
224286	Write as a Single Logarithm	log base 3 of 4+ log base 3 of y+1/2* log base 3 of 49	$\log_{3} (4) + \log_{3} (y) + \frac{1}{2} \cdot \log_{3} (49)$
224287	Evaluate Using the Given Value	Given c=10 ; the value of the expression 14+(2c)/c is	Given $c = 10$ ; the value of the expression $14 + \frac{2 c}{c}$ is
224288	Expand the Logarithmic Expression	log base 4 of (12*7^2)^4	$\log_{4} ({(12 \cdot 7^{2})}^{4})$
224289	Solve for p	e^(5-2p)+2=4	$e^{5 - 2 p} + 2 = 4$
224290	Find the Degree, Leading Term, and Leading Coefficient	y=-7x^3+3x^2+12x-1	$y = - 7 x^{3} + 3 x^{2} + 12 x - 1$
224291	Divide Using Synthetic Division	-3x^3+11x^2-x+20 by (x-4)	$- 3 x^{3} + 11 x^{2} - x + 20$ by $(x - 4)$
224292	Divide Using Long Polynomial Division	Use the long division method to find the result when 4x^3+10x^2+11x+14 is divided by x+2	Use the long division method to find the result when $4 x^{3} + 10 x^{2} + 11 x + 14$ is divided by $x + 2$
224293	Write the Fraction in Simplest Form	((2u^-5)^-1)/(6b^3)	$\frac{{(2 u^{- 5})}^{- 1}}{6 b^{3}}$
224294	Simplify	1/(x-3)-1/(x+3)-1/(x-1)+1/(x+1)	$\frac{1}{x - 3} - \frac{1}{x + 3} - \frac{1}{x - 1} + \frac{1}{x + 1}$
224295	Find the Degree	arctan(( square root of 3)/3)	$\arctan (\frac{\sqrt{3}}{3})$
224296	Factor by Grouping	64x^4+xy^3	$64 x^{4} + x y^{3}$
224297	Write in Standard Form	1/7-3(3/7n-2/7)	$\frac{1}{7} - 3 (\frac{3}{7} n - \frac{2}{7})$
224298	Simplify	( sixth root of y)/( cube root of y)	$\frac{\sqrt[6]{y}}{\sqrt[3]{y}}$
224299	Simplify	10^0+10	$10^{0} + 10$
224300	Simplify	Simplify - square root of -121a^4b^2	Simplify $- \sqrt{- 121 a^{4} b^{2}}$