Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
198301	Factor	(a-3)^2+2(a-3)+1	${(a - 3)}^{2} + 2 (a - 3) + 1$
198302	Solve for y	1/3y-x^2+2x=-5	$\frac{1}{3} y - x^{2} + 2 x = - 5$
198303	Solve for t	(t+5)/(t-5)=10	$\frac{t + 5}{t - 5} = 10$
198304	Simplify	(( square root of 5)/5-( square root of 2)/5i)^2	${(\frac{\sqrt{5}}{5} - \frac{\sqrt{2}}{5} i)}^{2}$
198305	Write in Slope-Intercept Form	4x-3y<9	$4 x - 3 y < 9$
198306	Graph	(x^2+10x+16)/(x-3)>0	$\frac{x^{2} + 10 x + 16}{x - 3} > 0$
198307	Simplify	square root of 2+3 square root of 5-4 square root of 2	$\sqrt{2} + 3 \sqrt{5} - 4 \sqrt{2}$
198308	Find All Complex Solutions	3/(x+2)-1/(x^2-x-6)=5/(x-3)	$\frac{3}{x + 2} - \frac{1}{x^{2} - x - 6} = \frac{5}{x - 3}$
198309	Divide Using Long Polynomial Division	(2x^4+5x+4)/x	$\frac{2 x^{4} + 5 x + 4}{x}$
198310	Solve the Absolute Value Inequality for x	-16-3\|2x-5\|>=-49	$- 16 - 3 \| 2 x - 5 \| \geq - 49$
198311	Evaluate	(-(5pi)/3)	$(- \frac{5 π}{3})$
198312	Find the Distance Between Two Points	(0,0) and (4,-3)	$(0, 0)$ and $(4, - 3)$
198313	Solve for b	ab+3c=2x	$a b + 3 c = 2 x$
198314	Solve the Inequality for x	-3>=2x+3>7	$- 3 \geq 2 x + 3 > 7$
198315	Solve for m	2^(m+1)=16^(m+7)	$2^{m + 1} = 16^{m + 7}$
198316	Solve for q	8q-3<10q+7	$8 q - 3 < 10 q + 7$
198317	Factor	3(x-y)^2+2y(x-y)-5y^2	$3 {(x - y)}^{2} + 2 y (x - y) - 5 y^{2}$
198318	Solve the Absolute Value Inequality for x	\|3x-4\|+2=1	$\| 3 x - 4 \| + 2 = 1$
198319	Solve for s	8s+3<9s+1	$8 s + 3 < 9 s + 1$
198320	Combine Like Terms	(-x^2-1)-(-2x^2-4)	$(- x^{2} - 1) - (- 2 x^{2} - 4)$
198321	Solve for d	d(7d-6)+4=0	$d (7 d - 6) + 4 = 0$
198322	Solve for x	3x-5+2x=8x-14	$3 x - 5 + 2 x = 8 x - 14$
198323	Solve for m	-6(1-m)=9-2m	$- 6 (1 - m) = 9 - 2 m$
198324	Solve for k	6x^2+6=4kx	$6 x^{2} + 6 = 4 k x$
198325	Solve for z	4-(-z/3)=8	$4 - (- \frac{z}{3}) = 8$
198326	Factor	147x-49=3x^3-x^2	$147 x - 49 = 3 x^{3} - x^{2}$
198327	Solve for n	-20<=10n	$- 20 \leq 10 n$
198328	Solve for x	-x+5+6x=1+5x+3	$- x + 5 + 6 x = 1 + 5 x + 3$
198329	Simplify	(4x^-1)^-1	${(4 x^{- 1})}^{- 1}$
198330	Solve for x	2(4x-3)<=5x-27	$2 (4 x - 3) \leq 5 x - 27$
198331	Solve for a	square root of a+3+6=2	$\sqrt{a + 3} + 6 = 2$
198332	Solve the Inequality for x	-1/2x>6	$- \frac{1}{2} x > 6$
198333	Multiply	(x^2+3x-4)/(x^2+4x+4)*(2x^2+4x)/(x^2-4x+3)	$\frac{x^{2} + 3 x - 4}{x^{2} + 4 x + 4} \cdot \frac{2 x^{2} + 4 x}{x^{2} - 4 x + 3}$
198334	Find the Domain and Range	x^(1/2)	$x^{\frac{1}{2}}$
198335	Solve the Absolute Value Inequality for m	9\|m-8\|-10<26	$9 \| m - 8 \| - 10 < 26$
198336	Evaluate	9÷(6÷(-2))	$9 \div (6 \div (- 2))$
198337	Graph	f(x)=ex	$f (x) = e x$
198338	Solve the Inequality for x	square root of x+10- square root of x+2>2	$\sqrt{x + 10} - \sqrt{x + 2} > 2$
198339	Solve for x	2/x-3/5=5/x	$\frac{2}{x} - \frac{3}{5} = \frac{5}{x}$
198340	Solve Over the Interval	sin(theta)^2+2sin(theta)+1=0 if 0<=theta<=2pi	$\sin^{2} (θ) + 2 \sin (θ) + 1 = 0$ if $0 \leq θ \leq 2 π$
198341	Evaluate	-2/(pi/2)	$\frac{- 2}{\frac{π}{2}}$
198342	Evaluate	(a+b)(a+b)	$(a + b) (a + b)$
198343	Simplify	(30x^-7y^-2)/(-5x^-1)	$\frac{30 x^{- 7} y^{- 2}}{- 5 x^{- 1}}$
198344	Find the Exact Value	cos(arccos(- square root of 5))	$\cos (\arccos (- \sqrt{5}))$
198345	Simplify	((2x^0y^-2)/z)^-3	${(\frac{2 x^{0} y^{- 2}}{z})}^{- 3}$
198346	Find the Exact Value	cos(67.5 degrees )cos(22.5 degrees )	$\cos (67.5 °) \cos (22.5 °)$
198347	Graph	f(x)=5sin(pi/2x-pi)+3	$f (x) = 5 \sin (\frac{π}{2} x - π) + 3$
198348	Solve for x	4(x-3)-(x-5)=0	$4 (x - 3) - (x - 5) = 0$
198349	Find the Exact Value	3/2-1	$\frac{3}{2} - 1$
198350	Evaluate	(1/2+1/3)^2	${(\frac{1}{2} + \frac{1}{3})}^{2}$
198351	Graph	y=3/4x+2 5x+4y=-24	$y = \frac{3}{4} x + 2$ $5 x + 4 y = - 24$
198352	Solve for x	(60000/1000)*3+10=x	$(\frac{60000}{1000}) \cdot 3 + 10 = x$
198353	Evaluate	(9x^2-5x)-(-3x-8)	$(9 x^{2} - 5 x) - (- 3 x - 8)$
198354	Evaluate	(-4+1)/2	$\frac{- 4 + 1}{2}$
198355	Describe the Transformation	y=f(5x)	$y = f (5 x)$
198356	Simplify	-3ab^4(3a^5+7a^3b^2)	$- 3 a b^{4} (3 a^{5} + 7 a^{3} b^{2})$
198357	Simplify	fourth root of 4x^3y^2* fourth root of 4xy^2	$\sqrt[4]{4 x^{3} y^{2}} \cdot \sqrt[4]{4 x y^{2}}$
198358	Solve the Inequality for n	-4n+1>-23	$- 4 n + 1 > - 23$
198359	Find the Distance Between Two Points	(0,0) and (-9,12)	$(0, 0)$ and $(- 9, 12)$
198360	Multiply	(3y-8)(-x+y)	$(3 y - 8) (- x + y)$
198361	Evaluate	(3pi)/(2pi)	$\frac{3 π}{2 π}$
198362	Evaluate the Function	f(-5) = fourth root of 5n-231	$f (- 5) = \sqrt[4]{5 n - 231}$
198363	Solve for a	3ab-1=2ab-3	$3 a b - 1 = 2 a b - 3$
198364	Find the Exact Value	(tan(15 degrees )+tan(30 degrees ))/(1-tan(15 degrees )tan(30 degrees ))	$\frac{\tan (15 °) + \tan (30 °)}{1 - \tan (15 °) \tan (30 °)}$
198365	Find the Excluded Values	8/((x-2)^2)=4/(x^2-9)+2/3	$\frac{8}{{(x - 2)}^{2}} = \frac{4}{x^{2} - 9} + \frac{2}{3}$
198366	Solve for y	w/z-(xy)/(1-x)-y=0	$\frac{w}{z} - \frac{x y}{1 - x} - y = 0$
198367	Evaluate	(6x^2+6x+9)+(x^2+2x)	$(6 x^{2} + 6 x + 9) + (x^{2} + 2 x)$
198368	Find the Distance Between Two Points	(2,7) and (-7,-5)	$(2, 7)$ and $(- 7, - 5)$
198369	Find the LCM	2x+8 and 2x-8	$2 x + 8$ and $2 x - 8$
198370	Solve for x	5/2=-2x-(2x-4)-1/2	$\frac{5}{2} = - 2 x - (2 x - 4) - \frac{1}{2}$
198371	Rationalize the Denominator	(1+3 square root of 2)/( square root of 2-1)	$\frac{1 + 3 \sqrt{2}}{\sqrt{2} - 1}$
198372	Simplify	10/(2ab^2)*(a^2b^2)/5	$\frac{10}{2 a b^{2}} \cdot \frac{a^{2} b^{2}}{5}$
198373	Find the Exact Value	tan(135 degrees -30 degrees )	$\tan (135 ° - 30 °)$
198374	Simplify	(x+1)/(x^2-16)-3/(x+4)	$\frac{x + 1}{x^{2} - 16} - \frac{3}{x + 4}$
198375	Solve for u	50-3u=75	$50 - 3 u = 75$
198376	Factor	(b+2)^2-2b-3	${(b + 2)}^{2} - 2 b - 3$
198377	Write the Fraction in Simplest Form	((x^4)/(7^-8))^-7	${(\frac{x^{4}}{7^{- 8}})}^{- 7}$
198378	Solve for x	c/b=x/a	$\frac{c}{b} = \frac{x}{a}$
198379	Find the Domain of the Composition g(f(x))	f(x)=x+2 , g(x)=2x^2-3x-2	$f (x) = x + 2$ , $g (x) = 2 x^{2} - 3 x - 2$
198380	Solve for x	1/2\|x\|+3=3	$\frac{1}{2} \| x \| + 3 = 3$
198381	Find the x and y Intercepts	f(x)=(2x^2-9x+9)/(2x-6)	$f (x) = \frac{2 x^{2} - 9 x + 9}{2 x - 6}$
198382	Graph	(-2,0) intersect (-1,1)	$(- 2, 0) \cap (- 1, 1)$
198383	Simplify	1/3-(-5/3)	$\frac{1}{3} - (- \frac{5}{3})$
198384	Graph	h(x)=1/4x-4,x<=0; 1/3x-3,0<x<=3; 1/2x-2,x>=4	$h (x) = {\begin{cases} \frac{1}{4} x - 4, x \leq 0 \\ \frac{1}{3} x - 3, 0 < x \leq 3 \\ \frac{1}{2} x - 2, x \geq 4 \end{cases}$
198385	Convert to Interval Notation	-5(k+4)>2-(3k+6)	$- 5 (k + 4) > 2 - (3 k + 6)$
198386	Evaluate	(42^5)÷(2^31/16)	$(4 \cdot 2^{5}) \div (2^{3} \cdot \frac{1}{16})$
198387	Solve for x	x/5-(-5)=7	$\frac{x}{5} - (- 5) = 7$
198388	Simplify	-(a+b)-3(2a+b(-a+2))	$- (a + b) - 3 (2 a + b (- a + 2))$
198389	Graph Using a Table of Values	f(x)=-12/(x^2+8x+12)	$f (x) = \frac{- 12}{x^{2} + 8 x + 12}$
198390	Graph	f(x)=sin(-x/2)	$f (x) = \sin (- \frac{x}{2})$
198391	Simplify	(6x-3y)/9-(4x-7y)/2	$\frac{6 x - 3 y}{9} - \frac{4 x - 7 y}{2}$
198392	Solve for x	-2+3/4x+1/2x=2x	$- 2 + \frac{3}{4} x + \frac{1}{2} x = 2 x$
198393	Graph	2x-y=5 x+4y=7	$2 x - y = 5$ $x + 4 y = 7$
198394	Simplify	((x-3)+y)^2	${((x - 3) + y)}^{2}$
198395	Solve for x	2-1.8(-x-2)=1.9x	$2 - 1.8 (- x - 2) = 1.9 x$
198396	Simplify	(3x+2-3y)(3x+2+3y)	$(3 x + 2 - 3 y) (3 x + 2 + 3 y)$
198397	Solve for x	1/(x+1)+x/(x-1)=2/(x^2-1)	$\frac{1}{x + 1} + \frac{x}{x - 1} = \frac{2}{x^{2} - 1}$
198398	Find the Product	60÷5(7-5)	$60 \div 5 (7 - 5)$
198399	Solve for x	2-8/3=(x-2)/15	$2 - \frac{8}{3} = \frac{x - 2}{15}$
198400	Divide Using Long Polynomial Division	(6x^5-2x^4-1)/x	$\frac{6 x^{5} - 2 x^{4} - 1}{x}$