Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
28201	Simplify	square root of q sixth root of q^11	$\sqrt{q} \sqrt[6]{q^{11}}$
28202	Evaluate	-2(-7+11)-5-(-2+(-3+5)-(4-(2+3)))	$- 2 (- 7 + 11) - 5 - (- 2 + (- 3 + 5) - (4 - (2 + 3)))$
28203	Divide	(r^2s+rs^2)/(rs)	$\frac{r^{2} s + r s^{2}}{r s}$
28204	Simplify	1/2(-sin(x)^2-cos(x)^2)	$\frac{1}{2} (- \sin^{2} (x) - \cos^{2} (x))$
28205	Solve the Function Operation	Given that f(x)=x^2+10x+21 and g(x)=x+7 ; find (f*g)(x) and express the result in standard form.	Given that $f (x) = x^{2} + 10 x + 21$ and $g (x) = x + 7$ ; find $(f \cdot g) (x)$ and express the result in standard form.
28206	Write the Fraction in Simplest Form	(12y^5m)/(4(y^3m^4)^-2)	$\frac{12 y^{5} m}{4 {(y^{3} m^{4})}^{- 2}}$
28207	Graph	(3s^8)^(-)*5	${(3 s^{8})}^{-} \cdot 5$
28208	Evaluate the Integral	integral from -2 to 3 of [y-(y^2-6)] with respect to y	$\int_{- 2}^{3} [y - (y^{2} - 6)] d y$
28209	Solve the Inequality for x	(2x)/3-(x+1)/4<=-2	$\frac{2 x}{3} - \frac{x + 1}{4} \leq - 2$
28210	Simplify	(-6xy)(6y)	$(- 6 x y) (6 y)$
28211	Convert from Degrees to Radians	-315deg	$- 315$ degrees
28212	Add	(4x)/(x-1)+(-4x)/(x-1)	$\frac{4 x}{x - 1} + \frac{- 4 x}{x - 1}$
28213	Evaluate	(4/3-1/2)/(2/5+1/3)	$\frac{\frac{4}{3} - \frac{1}{2}}{\frac{2}{5} + \frac{1}{3}}$
28214	Find the Slope	(-6,-4) and (-12,-4)	$(- 6, - 4)$ and $(- 12, - 4)$
28215	Solve for a	4a^3=3a^2	$4 a^{3} = 3 a^{2}$
28216	Evaluate	((2.2)^7)/((2.2)^9)	$\frac{{(2.2)}^{7}}{{(2.2)}^{9}}$
28217	Simplify	(2a^2)/( square root of 12a^10)	$\frac{2 a^{2}}{\sqrt{12 a^{10}}}$
28218	Find the Asymptotes	f(x)=3/(x^2+x-2)+4	$f (x) = \frac{3}{x^{2} + x - 2} + 4$
28219	Evaluate	2(48/3)^(-1/4)	$2 {(\frac{48}{3})}^{- \frac{1}{4}}$
28220	Use the Initial Value to Solve for c	y'=3x^2 , y=x^3-4+c , y(0)=5	$y' = 3 x^{2}$ , $y = x^{3} - 4 + c$ , $y (0) = 5$
28221	Graph	y>=2x^2+4x	$y \geq 2 x^{2} + 4 x$
28222	Simplify	2y(a+y)	$2 y (a + y)$
28223	Find the Antiderivative	e^x-2x	$e^{x} - 2 x$
28224	Solve for x	square root of x=x/2	$\sqrt{x} = \frac{x}{2}$
28225	Find the Regression Line	(-3,-28) , (0,-4) , (4,168) , (-5,-174)	$(- 3, - 28)$ , $(0, - 4)$ , $(4, 168)$ , $(- 5, - 174)$
28226	Simplify	(5x^2-25x)/x	$\frac{5 x^{2} - 25 x}{x}$
28227	Write in y=mx+b Form	(-9,-9) and (-6,0)	$(- 9, - 9)$ and $(- 6, 0)$
28228	Solve for x	2/3x-5>3	$\frac{2}{3} x - 5 > 3$
28229	Evaluate the Integral	integral of (1/7-1/(y^(5/4))) with respect to y	$\int (\frac{1}{7} - \frac{1}{y^{\frac{5}{4}}}) d y$
28230	Find the Exact Value	sin(pi/3)cos(pi/6)-tan(pi/3)	$\sin (\frac{π}{3}) \cos (\frac{π}{6}) - \tan (\frac{π}{3})$
28231	Simplify	((64m^(1/2)r^3)/(m^(5/2)r^(1/4)))^(1/2)	${(\frac{64 m^{\frac{1}{2}} r^{3}}{m^{\frac{5}{2}} r^{\frac{1}{4}}})}^{\frac{1}{2}}$
28232	Find dy/dx	x^2y+4y=8	$x^{2} y + 4 y = 8$
28233	Simplify	a^2b(a^3+5ab-b^3)+2ab(a^4-2a^2b+b^3a)	$a^{2} b (a^{3} + 5 a b - b^{3}) + 2 a b (a^{4} - 2 a^{2} b + b^{3} a)$
28234	Solve the Function Operation	f(x)=3x^2+2x-10 g(x)=3x+9 Find: (gof)(x)	$f (x) = 3 x^{2} + 2 x - 10$ $g (x) = 3 x + 9$ Find: $((g \circ f)) (x)$
28235	Expand Using the Binomial Theorem	(( square root of x)/(y^2)-y/x)^18	${(\frac{\sqrt{x}}{y^{2}} - \frac{y}{x})}^{18}$
28236	Divide	(4x^4+2x^3+2x^2)÷(4x^2)	$(4 x^{4} + 2 x^{3} + 2 x^{2}) \div (4 x^{2})$
28237	Evaluate	(5/3)^0*2^-1	${(\frac{5}{3})}^{0} \cdot 2^{- 1}$
28238	Evaluate	(2a^2b)(4ab^2)	$(2 a^{2} b) (4 a b^{2})$
28239	Simplify	(x^7y^9)/(x^7y^9)	$\frac{x^{7} y^{9}}{x^{7} y^{9}}$
28240	Evaluate the Function	g(0)=0/( square root of 9-0^2)	$g (0) = \frac{0}{\sqrt{9 - 0^{2}}}$
28241	Solve for q	q^2=0	$q^{2} = 0$
28242	Find the Derivative - d/dx	arccos(-x/5)	$\arccos (- \frac{x}{5})$
28243	Simplify	(5+5^-2)^0(6^0+6)^-2	${(5 + 5^{- 2})}^{0} {(6^{0} + 6)}^{- 2}$
28244	Multiply	(10x^2+9x+2)/(3x-3)*(x-1)/(2x^2-5x-3)	$\frac{10 x^{2} + 9 x + 2}{3 x - 3} \cdot \frac{x - 1}{2 x^{2} - 5 x - 3}$
28245	Simplify	(3m^(1/4)n^(2/3))^3	${(3 m^{\frac{1}{4}} n^{\frac{2}{3}})}^{3}$
28246	Find the Exact Value	sin((3pi)/4)cos((7pi)/4)	$\sin (\frac{3 π}{4}) \cos (\frac{7 π}{4})$
28247	Find Where Undefined/Discontinuous	f(x)=(x+4)/( square root of x)	$f (x) = \frac{x + 4}{\sqrt{x}}$
28248	Evaluate	cube root of -(-1)	$\sqrt[3]{- (- 1)}$
28249	Evaluate	sixth root of 2* square root of 2^5	$\sqrt[6]{2} \cdot \sqrt{2^{5}}$
28250	Solve for p	6(p+2.25)=15 9/10	$6 (p + 2.25) = 15 \frac{9}{10}$
28251	Multiply	(-2x^2-x+2)(-2x^2+x-7)	$(- 2 x^{2} - x + 2) (- 2 x^{2} + x - 7)$
28252	Solve the Inequality for x	(x-1)/3<=(2x-6)/2	$\frac{x - 1}{3} \leq \frac{2 x - 6}{2}$
28253	Solve the Inequality for x	-3\|x+5\|+16<=7	$- 3 \| x + 5 \| + 16 \leq 7$
28254	Solve the System of Inequalities	4m+6<2 OR (m+4)/3>3	$4 m + 6 < 2$ OR $\frac{m + 4}{3} > 3$
28255	Simplify	(u^4v^3-14uv^4)+(2uv^4-9v^4-11u^4v^3)+(-8u^4v^3+9v^4)	$(u^{4} v^{3} - 14 u v^{4}) + (2 u v^{4} - 9 v^{4} - 11 u^{4} v^{3}) + (- 8 u^{4} v^{3} + 9 v^{4})$
28256	Find the End Behavior	y=x^7-3x^5-5x^3	$y = x^{7} - 3 x^{5} - 5 x^{3}$
28257	Solve the Inequality for y	2(y-2)>-4+2y	$2 (y - 2) > - 4 + 2 y$
28258	Simplify	4 cube root of -2	$4 \sqrt[3]{- 2}$
28259	Solve for t	S(t)=2t3/2-9t+6	$S (t) = 2 t \frac{3}{2} - 9 t + 6$
28260	Write in Standard Form	18=6x+x(x-13)	$18 = 6 x + x (x - 13)$
28261	Solve for p	31p^2+10p+1=6p^2	$31 p^{2} + 10 p + 1 = 6 p^{2}$
28262	Divide	((-2m^4)^2)/(8m^2)	$\frac{{(- 2 m^{4})}^{2}}{8 m^{2}}$
28263	Graph	x-1/x	$x - \frac{1}{x}$
28264	Solve for x	f(x)=2^x	$f (x) = 2^{x}$
28265	Solve for w	1/6w>=2.5	$\frac{1}{6} w \geq 2.5$
28266	Find the Degree	-y square root of 6+2yz	$- y \sqrt{6} + 2 y z$
28267	Divide Using Synthetic Division	Use synthetic division to find the result when x^3+3x^2-16x-6 is divided by x-3	Use synthetic division to find the result when $x^{3} + 3 x^{2} - 16 x - 6$ is divided by $x - 3$
28268	Convert to Trigonometric Form	sin(x)cos(x)	$\sin (x) \cos (x)$
28269	Convert from Radians to Degrees	-(2 square root of 3)/3	$- \frac{2 \sqrt{3}}{3}$
28270	Simplify	-3+(4-2(6-3+4(5-7))+3)	$- 3 + (4 - 2 (6 - 3 + 4 (5 - 7)) + 3)$
28271	Simplify	-2x^4y^2(6y-xy)	$- 2 x^{4} y^{2} (6 y - x y)$
28272	Simplify	i square root of 25	$i \sqrt{25}$
28273	Solve Using the Quadratic Formula	7-8x^2=6x+16	$7 - 8 x^{2} = 6 x + 16$
28274	Find g(h(x))	g(x)=2x h(x)=x+2	$g (x) = 2 x$ $h (x) = x + 2$
28275	Add	1/2+2/3+1 2/3+1/5	$\frac{1}{2} + \frac{2}{3} + 1 \frac{2}{3} + \frac{1}{5}$
28276	Simplify	(x square root of x^2+2)^2	${(x \sqrt{x^{2} + 2})}^{2}$
28277	Solve for a	75% of 124 is what number a	$75 %$ of $124$ is what number $a$
28278	Find the Derivative - d/dx	y=e^(cot(8x))	$y = e^{\cot (8 x)}$
28279	Solve for f	f(10)=5 f(2)=-3	$f (10) = 5$ $f (2) = - 3$
28280	Evaluate the Limit	limit as x approaches infinity of (1-x)/(2+5x)	$lim_{x \to \infty} \frac{1 - x}{2 + 5 x}$
28281	Evaluate the Limit	limit as x approaches 1 of ((x-1)(x-2))/((x-1)^3)	$lim_{x \to 1} \frac{(x - 1) (x - 2)}{{(x - 1)}^{3}}$
28282	Evaluate	4+11*(6^2-2)	$4 + 11 \cdot (6^{2} - 2)$
28283	Find the Derivative - d/dx	e^( square root of cos(x))	$e^{\sqrt{\cos (x)}}$
28284	Find the Degree, Leading Term, and Leading Coefficient	g(x)=x^3-9x^2+2x+6	$g (x) = x^{3} - 9 x^{2} + 2 x + 6$
28285	Determine if a Parabola	y=1/4x^2	$y = \frac{1}{4} x^{2}$
28286	Evaluate	(-2x+6)^(1/5)=(-8+10x)^(1/5)	${(- 2 x + 6)}^{\frac{1}{5}} = {(- 8 + 10 x)}^{\frac{1}{5}}$
28287	Simplify	(2- square root of 6)/(4+ square root of 6)	$\frac{2 - \sqrt{6}}{4 + \sqrt{6}}$
28288	Factor	6m^3-12mn+m^2n-2n^2	$6 m^{3} - 12 m n + m^{2} n - 2 n^{2}$
28289	Simplify	(1/x)/(2x)	$\frac{\frac{1}{x}}{2 x}$
28290	Solve the System of Equations	y=x^2+3x+7 3x+y=2	$y = x^{2} + 3 x + 7$ $3 x + y = 2$
28291	Multiply	(6x-30)/(x^2-7x+10)*(7x-14)/(6x)	$\frac{6 x - 30}{x^{2} - 7 x + 10} \cdot \frac{7 x - 14}{6 x}$
28292	Solve for y	y+3(2x-4)=24	$y + 3 (2 x - 4) = 24$
28293	Simplify	4 sixth root of -64x^3	$4 \sqrt[6]{- 64 x^{3}}$
28294	Find the Domain and Range	f(x)=1/2* log base 1/4 of x	$f (x) = \frac{1}{2} \cdot \log_{\frac{1}{4}} (x)$
28295	Solve the Inequality for x	(-x)/(x-6)<=1/(x-2)	$\frac{- x}{x - 6} \leq \frac{1}{x - 2}$
28296	Solve for x	(4x-3)/5-(4-2x)/3=1	$\frac{4 x - 3}{5} - \frac{4 - 2 x}{3} = 1$
28297	Evaluate	-2/3-5/6	$\frac{- 2}{3} - \frac{5}{6}$
28298	Solve the System of Inequalities	8m+5>=5 and -4m+6<=-10	$8 m + 5 \geq 5$ and $- 4 m + 6 \leq - 10$
28299	Find the Excluded Values	(x^2+14x+33)/(4x)(x^2-3x)/(x+3)(8x-56)/(x^2+4x-77)	$\frac{x^{2} + 14 x + 33}{4 x} \cdot \frac{x^{2} - 3 x}{x + 3} \cdot \frac{8 x - 56}{x^{2} + 4 x - 77}$
28300	Find Amplitude, Period, and Phase Shift	y=4sin((x-pi)/4)-3	$y = 4 \sin (\frac{x - π}{4}) - 3$