Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
37301	Solve the Inequality for x	x+(x+1)+(x+2)>60	$x + (x + 1) + (x + 2) > 60$
37302	Solve the Function Operation	f(x)=-x-1 if x!=5; 0 if x=5 Find f(5)	$f (x) = {\begin{cases} - x - 1 & x \neq 5 \\ 0 & x = 5 \end{cases}$ Find $f (5)$
37303	Simplify	( square root of 24)( square root of 36)	$(\sqrt{24}) (\sqrt{36})$
37304	Convert to Radical Form	(10n)^(3/3)	${(10 n)}^{\frac{3}{3}}$
37305	Evaluate	(6-4(2+3)^2-2+5)^0	${(6 - 4 {(2 + 3)}^{2} - 2 + 5)}^{0}$
37306	Graph	F(x)=1/2 square root of x+3	$F (x) = \frac{1}{2} \sqrt{x} + 3$
37307	Solve the Inequality for x	-2>5+1/3(3x+3/4)-3/4x	$- 2 > 5 + \frac{1}{3} (3 x + \frac{3}{4}) - \frac{3}{4} x$
37308	Find the Domain and Range	f(x)=-3/x-1	$f (x) = - \frac{3}{x} - 1$
37309	Evaluate	(x^-4x^2y^-8)/(y^3)	$\frac{x^{- 4} x^{2} y^{- 8}}{y^{3}}$
37310	Simplify	(1/(a^5))^-4	${(\frac{1}{a^{5}})}^{- 4}$
37311	Simplify the Radical Expression	(32^2x^4y^12)^(1/5)	${(32^{2} x^{4} y^{12})}^{\frac{1}{5}}$
37312	Simplify	((-2t^5)/(at^2))^4	${(\frac{- 2 t^{5}}{a t^{2}})}^{4}$
37313	Graph	y=3+2sin(3)(x+1)	$y = 3 + 2 \sin (3) (x + 1)$
37314	Solve for r	5/9=6/r	$\frac{5}{9} = \frac{6}{r}$
37315	Solve the Inequality for x	7(x+1)<5x+1-4x	$7 (x + 1) < 5 x + 1 - 4 x$
37316	Add	3x^2+2x-5 and -4+7x^2	$3 x^{2} + 2 x - 5$ and $- 4 + 7 x^{2}$
37317	Simplify	square root of fifth root of k^11	$\sqrt{\sqrt[5]{k^{11}}}$
37318	Simplify	(-i square root of 2)(i square root of 2)	$(- i \sqrt{2}) (i \sqrt{2})$
37319	Find the Third Derivative	y=-2/3x^3+3x^2+3/10x^5-3	$y = - \frac{2}{3} x^{3} + 3 x^{2} + \frac{3}{10} x^{5} - 3$
37320	Solve for x in Degrees	3cos(x)tan(x)=-5tan(x)	$3 \cos (x) \tan (x) = - 5 \tan (x)$
37321	Solve the Rational Equation for x	2 cube root of x-3+15=10	$2 \sqrt[3]{x - 3} + 15 = 10$
37322	Evaluate the Limit	limit as x approaches infinity of (8-4x^2)/(9x^2+5x)	$lim_{x \to \infty} \frac{8 - 4 x^{2}}{9 x^{2} + 5 x}$
37323	Graph	f(x)=(-5x+20)/(2x^2-32)	$f (x) = \frac{- 5 x + 20}{2 x^{2} - 32}$
37324	Divide	(6y^2+y-2)(2y-1)^-1	$(6 y^{2} + y - 2) {(2 y - 1)}^{- 1}$
37325	Find the Domain	(x^2-16)/(9-x)*(x^2+x-90)/(x^2+14x+40)	$\frac{x^{2} - 16}{9 - x} \cdot \frac{x^{2} + x - 90}{x^{2} + 14 x + 40}$
37326	Solve the Inequality for n	2(n-1)+4n=2(3n-1)	$2 (n - 1) + 4 n = 2 (3 n - 1)$
37327	Evaluate the Limit	limit as v approaches -3 of ( square root of 4-v- square root of 7)/(v+3)	$lim_{v \to - 3} \frac{\sqrt{4 - v} - \sqrt{7}}{v + 3}$
37328	Simplify	2(2x-3y)+4(4x)	$2 (2 x - 3 y) + 4 (4 x)$
37329	Find Where Increasing/Decreasing	f(x)=-\|x\|+7	$f (x) = - \| x \| + 7$
37330	Evaluate	(4x^3-5x^2+3x)+(-2x^3-x^2+6x)	$(4 x^{3} - 5 x^{2} + 3 x) + (- 2 x^{3} - x^{2} + 6 x)$
37331	Simplify	(4yx^3)/(4x^4y^2)	$\frac{4 y x^{3}}{4 x^{4} y^{2}}$
37332	Find the Holes in the Graph	f(x)=(2x^3+8x^2-10x)/(2x^2+2x)	$f (x) = \frac{2 x^{3} + 8 x^{2} - 10 x}{2 x^{2} + 2 x}$
37333	Verify the Identity	sec(x)^2+cot(x)^2=tan(x)^2+csc(x)^2	$\sec^{2} (x) + \cot^{2} (x) = \tan^{2} (x) + \csc^{2} (x)$
37334	Evaluate the Integral	integral of (5x^-3+6x) with respect to x	$\int (5 x^{- 3} + 6 x) d x$
37335	Solve the Inequality for b	7-2/b<=5/b	$7 - \frac{2}{b} \leq \frac{5}{b}$
37336	Solve for x	8x=x-3(10+x)	$8 x = x - 3 (10 + x)$
37337	Solve by Addition/Elimination	y=6x-11 -2x-3y=-7	$y = 6 x - 11$ $- 2 x - 3 y = - 7$
37338	Factor	2x^2(x+1)^2-12x(x+1)	$2 x^{2} {(x + 1)}^{2} - 12 x (x + 1)$
37339	Find the Holes in the Graph	f(x)=-5/(x^2-2x-3)	$f (x) = \frac{- 5}{x^{2} - 2 x - 3}$
37340	Solve for x	x = square root of a^2-a-2	$x = \sqrt{a^{2} - a - 2}$
37341	Subtract	1/(2+x)-(2-x)/x	$\frac{1}{2 + x} - \frac{2 - x}{x}$
37342	Simplify	1/(xy^2)+x	$\frac{1}{x y^{2}} + x$
37343	Combine Like Terms	(2x^2+5x-7)+(3-4x^2+6x)	$(2 x^{2} + 5 x - 7) + (3 - 4 x^{2} + 6 x)$
37344	Evaluate	((3m^2n^7)/m)^5	${(\frac{3 m^{2} n^{7}}{m})}^{5}$
37345	Evaluate	square root of pi/4	$\sqrt{\frac{π}{4}}$
37346	Simplify	m^23m^46a*a^-3	$m^{2} \cdot 3 m^{4} \cdot 6 a \cdot a^{- 3}$
37347	Solve for x	4x-2(3x-2)=3x	$4 x - 2 (3 x - 2) = 3 x$
37348	Simplify	(1/3x+1/4)-(1/2x-2/3)	$(\frac{1}{3} x + \frac{1}{4}) - (\frac{1}{2} x - \frac{2}{3})$
37349	Find the Roots (Zeros)	3x^2-3=0	$3 x^{2} - 3 = 0$
37350	Simplify	(2-3i^3)(1+i)	$(2 - 3 i^{3}) (1 + i)$
37351	Divide Using Long Polynomial Division	(9x^3+6x^2+x+22)/(3x+4)	$\frac{9 x^{3} + 6 x^{2} + x + 22}{3 x + 4}$
37352	Simplify	(tan(x)^2)/(sin(x)^2)-1	$\frac{\tan^{2} (x)}{\sin^{2} (x)} - 1$
37353	Evaluate the Limit	limit as theta approaches 0 of (1-cos(theta))/(sin(2theta))	$lim_{θ \to 0} \frac{1 - \cos (θ)}{\sin (2 θ)}$
37354	Find dy/dx	y=sec(3x)	$y = \sec (3 x)$
37355	Find the Derivative - d/dx	-5/(2x^(3/2))	$- \frac{5}{2 x^{\frac{3}{2}}}$
37356	Find the Slope	(-3,-9) and (0,0)	$(- 3, - 9)$ and $(0, 0)$
37357	Simplify	square root of 2x^3yz^4* square root of 32x^2y^2z^4	$\sqrt{2 x^{3} y z^{4}} \cdot \sqrt{32 x^{2} y^{2} z^{4}}$
37358	Simplify the Radical Expression	( square root of ab)/( square root of a+ square root of b)	$\frac{\sqrt{a b}}{\sqrt{a} + \sqrt{b}}$
37359	Find the Complex Conjugate	square root of 5- square root of 2	$\sqrt{5} - \sqrt{2}$
37360	Simplify	(ab)/( square root of a)	$\frac{a b}{\sqrt{a}}$
37361	Graph	x+2y>=6 x+2y>=-10	$x + 2 y \geq 6$ $x + 2 y \geq - 10$
37362	Find the Domain and Range	y=3 fourth root of x-1	$y = 3 \sqrt[4]{x - 1}$
37363	Evaluate the Limit	limit as x approaches 0 of \|x\|=0	$lim_{x \to 0} \| x \| = 0$
37364	Evaluate	4/3+(50/7+8/15)	$\frac{4}{3} + (\frac{50}{7} + \frac{8}{15})$
37365	Find the Exact Value	(-1/2)÷(( square root of 3)/2)	$- \frac{1}{2} \div \frac{\sqrt{3}}{2}$
37366	Find the Axis of Symmetry	f(x)=-(x^2+2x-3)	$f (x) = - (x^{2} + 2 x - 3)$
37367	Simplify	(8m^-2n^4)(1/2n^-2)	$(8 m^{- 2} n^{4}) (\frac{1}{2} n^{- 2})$
37368	Simplify the Radical Expression	square root of 11+8 square root of 7-2 square root of 7-6 square root of 11	$\sqrt{11} + 8 \sqrt{7} - 2 \sqrt{7} - 6 \sqrt{11}$
37369	Solve the Function Operation	f(x)=(x+8)^2-5 if x!=-5; -1 if x=-5 Find f(-5)	$f (x) = {\begin{cases} {(x + 8)}^{2} - 5 & x \neq - 5 \\ - 1 & x = - 5 \end{cases}$ Find $f (- 5)$
37370	Simplify	(x^2-4)/(5x)*30/(3x-6)	$\frac{x^{2} - 4}{5 x} \cdot \frac{30}{3 x - 6}$
37371	Simplify	( cube root of 5z^7b^4)/( cube root of 25xy)	$\frac{\sqrt[3]{5 z^{7} b^{4}}}{\sqrt[3]{25 x y}}$
37372	Graph	y=(-1/2)^x	$y = {(- \frac{1}{2})}^{x}$
37373	Determine if (0,0) is a Solution	y<4x+5 , (0,0)	$y < 4 x + 5$ , $(0, 0)$
37374	Identify the Sequence	1 , 4 , 9 , 16 , 25 ; dots	$1$ , $4$ , $9$ , $16$ , $25$ ; dots
37375	Simplify	7t+(-3t)-3y	$7 t + (- 3 t) - 3 y$
37376	Solve for b	a=b-18	$a = b - 18$
37377	Solve for x	(8^(2x+4))/(4^(x-3))=4^(x+5)	$\frac{8^{2 x + 4}}{4^{x - 3}} = 4^{x + 5}$
37378	Verify the Identity	(sin(theta))/(1+cos(theta))*(1-cos(theta))/(1-cos(theta))=(1-cos(theta))/(sin(theta))	$\frac{\sin (θ)}{1 + \cos (θ)} \cdot \frac{1 - \cos (θ)}{1 - \cos (θ)} = \frac{1 - \cos (θ)}{\sin (θ)}$
37379	Find the Antiderivative	f(x)=xe^(2x)	$f (x) = x e^{2 x}$
37380	Simplify	(9a^3b+6ab-4)-(10a^3b-6a^2b^2-6)	$(9 a^{3} b + 6 a b - 4) - (10 a^{3} b - 6 a^{2} b^{2} - 6)$
37381	Solve for x	square root of (x+3)/(x+3)=1	$\sqrt{\frac{x + 3}{x + 3}} = 1$
37382	Solve for x	x-1/3=1/6	$x - \frac{1}{3} = \frac{1}{6}$
37383	Simplify	7/12-(4x)/(3x)	$\frac{7}{12} - \frac{4 x}{3 x}$
37384	Evaluate	cube root of 2x=4	$\sqrt[3]{2 x} = 4$
37385	Simplify	(i- square root of 3)^2	${(i - \sqrt{3})}^{2}$
37386	Factor	6x^2-xy^2-2y^2+17x-2y+12	$6 x^{2} - x y^{2} - 2 y^{2} + 17 x - 2 y + 12$
37387	Simplify	((12)(3/4))/((4)(1/4))	$\frac{(12) (\frac{3}{4})}{(4) (\frac{1}{4})}$
37388	Find the Derivative - d/dx	1/(x(x+1))	$\frac{1}{x (x + 1)}$
37389	Evaluate the Integral	integral of (-3x^5+1+3x^3) with respect to x	$\int (- 3 x^{5} + 1 + 3 x^{3}) d x$
37390	Find the Roots (Zeros)	x^6-2x^4-4x^2+8=0	$x^{6} - 2 x^{4} - 4 x^{2} + 8 = 0$
37391	Solve for x	6=x^3-4/x	$6 = x^{3} - \frac{4}{x}$
37392	Simplify	((a+b)^3)/18*2/((a+b)^2)	$\frac{{(a + b)}^{3}}{18} \cdot \frac{2}{{(a + b)}^{2}}$
37393	Find the Integral	e^(2x+1)	$e^{2 x + 1}$
37394	Find the x and y Intercepts	f(x)=-(x+4)/(x-2)	$f (x) = - \frac{x + 4}{x - 2}$
37395	Determine if True	cot(theta)+tan(theta)=sec(theta)csc(theta)	$\cot (θ) + \tan (θ) = \sec (θ) \csc (θ)$
37396	Solve for F	(5F+8)/G=(3R-1)/S	$\frac{5 F + 8}{G} = \frac{3 R - 1}{S}$
37397	Graph	x<=-1 or x>=3	$x \leq - 1$ or $x \geq 3$
37398	Find the Exact Value	( fourth root of 187)^3	${(\sqrt[4]{187})}^{3}$
37399	Solve for x	20x-14-11x=8-6x+2	$20 x - 14 - 11 x = 8 - 6 x + 2$
37400	Simplify	-(3(y^-2)^3)/(5y^2)	$- \frac{3 {(y^{- 2})}^{3}}{5 y^{2}}$