Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
193301	Evaluate	-3*4/((-7)^105)	$- 3 \cdot \frac{4}{{(- 7)}^{105}}$
193302	Multiply	(x^2-10x+24)/(x^2-x-30)*(x+5)/(x-8)	$\frac{x^{2} - 10 x + 24}{x^{2} - x - 30} \cdot \frac{x + 5}{x - 8}$
193303	Graph	2(x+1)-3(x-2)<x+6	$2 (x + 1) - 3 (x - 2) < x + 6$
193304	Find the Distance Between Two Points	(0,-4) and (5,1)	$(0, - 4)$ and $(5, 1)$
193305	Simplify	2 square root of 25y^8*4 square root of 6y^3	$2 \sqrt{25 y^{8}} \cdot 4 \sqrt{6 y^{3}}$
193306	Divide Using Long Polynomial Division	(3x^3-3-6x)÷(3+3x)	$(3 x^{3} - 3 - 6 x) \div (3 + 3 x)$
193307	Find the Symmetry	y=sin(x)	$y = \sin (x)$
193308	Find the Domain and Range	f(x)=-1/2	$f (x) = - \frac{1}{2}$
193309	Evaluate	(-6x+3)-(-2x^2+6x-10)	$(- 6 x + 3) - (- 2 x^{2} + 6 x - 10)$
193310	Simplify	(8v-56)/(8v+48)*(v^2+9v+18)/(8v^2+24v)	$\frac{8 v - 56}{8 v + 48} \cdot \frac{v^{2} + 9 v + 18}{8 v^{2} + 24 v}$
193311	Solve for y	y(y+1)-4=0	$y (y + 1) - 4 = 0$
193312	Find All Complex Solutions	x/(x+2)+1/x=1	$\frac{x}{x + 2} + \frac{1}{x} = 1$
193313	Simplify	(x+ square root of 3)^2	${(x + \sqrt{3})}^{2}$
193314	Find f(g(x))	f(x)=x+10 g(x)=x^2+2x-7	$f (x) = x + 10$ $g (x) = x^{2} + 2 x - 7$
193315	Simplify	4x^2y(2x^4-6xy+2)	$4 x^{2} y (2 x^{4} - 6 x y + 2)$
193316	Solve for x	1/2x=-(5/4x+1)+1/2x	$\frac{1}{2} x = - (\frac{5}{4} x + 1) + \frac{1}{2} x$
193317	Graph	y=(x-h)^2+k	$y = {(x - h)}^{2} + k$
193318	Describe the Transformation	1-f(-x)	$1 - f (- x)$
193319	Solve for m	8m+12=2(4m+6)	$8 m + 12 = 2 (4 m + 6)$
193320	Find the Distance Between Two Points	(8,-3) and (4,-7)	$(8, - 3)$ and $(4, - 7)$
193321	Combine Like Terms	(7x^2-2)-(2x^2-5x+3)	$(7 x^{2} - 2) - (2 x^{2} - 5 x + 3)$
193322	Simplify	1/4n(-24+8m-100p)	$\frac{1}{4} n (- 24 + 8 m - 100 p)$
193323	Graph	v(t)=1/10(3t-8)^3+2	$v (t) = \frac{1}{10} {(3 t - 8)}^{3} + 2$
193324	Graph	x<2y	$x < 2 y$
193325	Solve the Inequality for x	-2<=x<=2	$- 2 \leq x \leq 2$
193326	Evaluate	2(1/2)^3+4(1/2)^2+6(1/2)+7	$2 {(\frac{1}{2})}^{3} + 4 {(\frac{1}{2})}^{2} + 6 (\frac{1}{2}) + 7$
193327	Find the Exact Value	pi/2-pi/6	$\frac{π}{2} - \frac{π}{6}$
193328	Solve for B	A=2BD+2BC	$A = 2 B D + 2 B C$
193329	Find the Domain and Range	r(x)=(x^3-3x^2-4x)/(x-4)	$r (x) = \frac{x^{3} - 3 x^{2} - 4 x}{x - 4}$
193330	Find the Domain and Range	f(x)=-1/2x^2	$f (x) = - \frac{1}{2} x^{2}$
193331	Solve for S	S=2pi*4(4+8)	$S = 2 π \cdot 4 (4 + 8)$
193332	Divide Using Synthetic Division	(x^2+x-17)÷(x-4)	$(x^{2} + x - 17) \div (x - 4)$
193333	Graph	x>=4y	$x \geq 4 y$
193334	Find g(f(x))	f(x)=1/(4x) g(x)=1/(4x)	$f (x) = \frac{1}{4 x}$ $g (x) = \frac{1}{4 x}$
193335	Evaluate	3^(2n)>=6^(n+1)	$3^{2 n} \geq 6^{n + 1}$
193336	Evaluate	(-6x^2-3x-1)-(x+8)	$(- 6 x^{2} - 3 x - 1) - (x + 8)$
193337	Solve for x	square root of 3x+6-1>=5	$\sqrt{3 x + 6} - 1 \geq 5$
193338	Determine if Parallel	-9x+12y=24 y=3/4x-5	$- 9 x + 12 y = 24$ $y = \frac{3}{4} x - 5$
193339	Solve for x	8^(2x-1)=32^(6-x)	$8^{2 x - 1} = 32^{6 - x}$
193340	Solve the Inequality for x	-1<2-x/3<1	$- 1 < 2 - \frac{x}{3} < 1$
193341	Solve the Inequality for x	-3(x-4)>6(x-1)	$- 3 (x - 4) > 6 (x - 1)$
193342	Graph	g(x)=(1/5x)^2	$g (x) = {(\frac{1}{5} x)}^{2}$
193343	Solve for g	\|-3g-2\|+1<6	$\| - 3 g - 2 \| + 1 < 6$
193344	Solve the Inequality for x	x/-2-17>-13	$\frac{x}{- 2} - 17 > - 13$
193345	Solve for p	11(4p+4)-4p=4(7p-7)	$11 (4 p + 4) - 4 p = 4 (7 p - 7)$
193346	Simplify	f(x)=(1-cos(4x)^2)/(tan(4x))*sec(4x)	$f (x) = \frac{1 - \cos^{2} (4 x)}{\tan (4 x)} \cdot \sec (4 x)$
193347	Simplify	10/15+4/12	$\frac{10}{15} + \frac{4}{12}$
193348	Solve the Rational Equation for x	1/(x+1)-1/(x+2)=1/5	$\frac{1}{x + 1} - \frac{1}{x + 2} = \frac{1}{5}$
193349	Solve the Inequality for x	\|x-5\|<0	$\| x - 5 \| < 0$
193350	Graph	f(x)=5/2 square root of -(x-6)	$f (x) = \frac{5}{2} \sqrt{- (x - 6)}$
193351	Find the Exact Value	(2pi)/1	$\frac{2 π}{1}$
193352	Find the Roots (Zeros)	f(x)=3x^2(x+4)^6(x-6)^6	$f (x) = 3 x^{2} {(x + 4)}^{6} {(x - 6)}^{6}$
193353	Evaluate	( square root of x-1)^2	${(\sqrt{x - 1})}^{2}$
193354	Divide	((2x)/(4x+3))÷((x-1)/(2x))	$\frac{2 x}{4 x + 3} \div \frac{x - 1}{2 x}$
193355	Simplify	(2^3+4^2)/((2/3)^2)	$\frac{2^{3} + 4^{2}}{{(\frac{2}{3})}^{2}}$
193356	Factor	y=x^2+x-12	$y = x^{2} + x - 12$
193357	Solve for x	3x(x-5)(5x+8)=0	$3 x (x - 5) (5 x + 8) = 0$
193358	Graph	y=2x+2 ; and 2y=4x+4	$y = 2 x + 2$ ; and $2 y = 4 x + 4$
193359	Simplify	2(4k^2-2k)-3(-6k^2+4)+2k(k-1)	$2 (4 k^{2} - 2 k) - 3 (- 6 k^{2} + 4) + 2 k (k - 1)$
193360	Solve for x	-105=-5(1-4x)	$- 105 = - 5 (1 - 4 x)$
193361	Solve for x	d=t/x	$d = \frac{t}{x}$
193362	Solve for x	2(4-8x)+6=-1	$2 (4 - 8 x) + 6 = - 1$
193363	Solve for x	2+ square root of x = square root of 4+x^2	$2 + \sqrt{x} = \sqrt{4 + x^{2}}$
193364	Find the First Term	4n	$4 n$
193365	Solve for x	4^x-3^(x-1/2)=3^(x+1/2)-2^(2x-1)	$4^{x} - 3^{x - \frac{1}{2}} = 3^{x + \frac{1}{2}} - 2^{2 x - 1}$
193366	Graph	x^2+60>16x	$x^{2} + 60 > 16 x$
193367	Solve the Inequality for n	3-\|4-n\|>1	$3 - \| 4 - n \| > 1$
193368	Simplify the Radical Expression	(5^-8)(5^-10)	$(5^{- 8}) (5^{- 10})$
193369	Combine Like Terms	-5(a-6)+2a	$- 5 (a - 6) + 2 a$
193370	Solve the Absolute Value Inequality for n	\|6n\|<=18	$\| 6 n \| \leq 18$
193371	Solve for k	11cw+2k=15cw	$11 c w + 2 k = 15 c w$
193372	Evaluate	27+3-45÷5+16	$27 + 3 - 45 \div 5 + 16$
193373	Solve for x	\|9-2x\|=10+3x	$\| 9 - 2 x \| = 10 + 3 x$
193374	Find the Exact Value	-sin((11pi)/6)	$- \sin (\frac{11 π}{6})$
193375	Solve for x	y=mx-c	$y = m x - c$
193376	Divide	(-8/9)÷(2/3)	$- \frac{8}{9} \div \frac{2}{3}$
193377	Solve for y	-4^2+3=2(-4)+y	$- 4^{2} + 3 = 2 (- 4) + y$
193378	Determine if True	sin(theta)^2+cos(theta)^2=1	$\sin^{2} (θ) + \cos^{2} (θ) = 1$
193379	Evaluate	2(2/5)^1	$2 {(\frac{2}{5})}^{1}$
193380	Evaluate	0/(2pi)	$\frac{0}{2 π}$
193381	Solve the Inequality for x	x+2<=6	$x + 2 \leq 6$
193382	Solve for d	(6d+1)^2+12=13	${(6 d + 1)}^{2} + 12 = 13$
193383	Solve for a	(x^(1/3))^2 cube root of x^4=x^a	${(x^{\frac{1}{3}})}^{2} \sqrt[3]{x^{4}} = x^{a}$
193384	Solve Using the Quadratic Formula	x+y	$x + y$
193385	Graph	y<=2x-3 y<=-1/2x+2	$y \leq 2 x - 3$ $y \leq - \frac{1}{2} x + 2$
193386	Solve Using the Quadratic Formula	ax^2+bx=0	$a x^{2} + b x = 0$
193387	Solve the Inequality for x	x^3-4x^2<4x-16	$x^{3} - 4 x^{2} < 4 x - 16$
193388	Convert to Radical Form	1/(2x^(-3/5))	$\frac{1}{2 x^{- \frac{3}{5}}}$
193389	Multiply	(-x-1)(x^2+x+5)	$(- x - 1) (x^{2} + x + 5)$
193390	Simplify	9x^2-3(x^2+x)+4y-3+2x-5	$9 x^{2} - 3 (x^{2} + x) + 4 y - 3 + 2 x - 5$
193391	Find the Foci	(x^2)/(5^2)+(y^2)/(4^2)=1	$\frac{x^{2}}{5^{2}} + \frac{y^{2}}{4^{2}} = 1$
193392	Solve the System of Equations	y+5=x y=x^2-3x-5	$y + 5 = x$ $y = x^{2} - 3 x - 5$
193393	Solve for w	w-7/9=2/9	$w - \frac{7}{9} = \frac{2}{9}$
193394	Solve the Inequality for n	(n-2)/5-n/3<=2	$\frac{n - 2}{5} - \frac{n}{3} \leq 2$
193395	Simplify	( cube root of k^8)/( square root of k)	$\frac{\sqrt[3]{k^{8}}}{\sqrt{k}}$
193396	Find the Parabola with Focus (0,4) and Directrix y=4	(0,4) y=4	$(0, 4)$ $y = 4$
193397	Simplify	x/2+(x^2)/3-x/5-(x^2)/4	$\frac{x}{2} + \frac{x^{2}}{3} - \frac{x}{5} - \frac{x^{2}}{4}$
193398	Solve for x	10=2 square root of x-8	$10 = 2 \sqrt{x - 8}$
193399	Simplify	(2/3+( square root of 5)/2i)^2	${(\frac{2}{3} + \frac{\sqrt{5}}{2} i)}^{2}$
193400	Find f(g(x))	f(x)=9x^2+1 g(x) = square root of 2x^3	$f (x) = 9 x^{2} + 1$ $g (x) = \sqrt{2 x^{3}}$