Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
46401	Find the GCF	26 and 44	$26$ and $44$
46402	Graph	x/2+y/4=1	$\frac{x}{2} + \frac{y}{4} = 1$
46403	Find the Antiderivative	cube root of x(x-4)	$\sqrt[3]{x} (x - 4)$
46404	Convert to a Decimal	sin(570)deg	$\sin (570)$ degrees
46405	Find dy/dx	y=5 cube root of -9x-1	$y = 5 \sqrt[3]{- 9 x - 1}$
46406	Find the x and y Intercepts	y+15=x+6	$y + 15 = x + 6$
46407	Find the Maximum/Minimum Value	y=4sin((4pi)/3x)	$y = 4 \sin (\frac{4 π}{3} x)$
46408	Evaluate the Limit	limit as x approaches 2 of (3x^2-6x)/(4-3x)	$lim_{x \to 2} \frac{3 x^{2} - 6 x}{4 - 3 x}$
46409	Solve for θ	tan(theta)=-3/4	$\tan (θ) = - \frac{3}{4}$
46410	Find the Derivative - d/dx	y=(e^(-x))/(x+1)	$y = \frac{e^{- x}}{x + 1}$
46411	Solve the Inequality for x	(x+2)^2>0	${(x + 2)}^{2} > 0$
46412	Simplify	square root of 4-2	$\sqrt{4} - 2$
46413	Find the Excluded Values	(x^2-9x+14)/(x^2-4)*(x^2+3x+2)/(x^2-6x-7)	$\frac{x^{2} - 9 x + 14}{x^{2} - 4} \cdot \frac{x^{2} + 3 x + 2}{x^{2} - 6 x - 7}$
46414	Simplify	((4x+16)/(25x^2-9))÷((3x+2)/(5x-3))	$\frac{4 x + 16}{25 x^{2} - 9} \div \frac{3 x + 2}{5 x - 3}$
46415	Divide Using Synthetic Division	2x^3+7x^2-8x-16 divided by x+4	$2 x^{3} + 7 x^{2} - 8 x - 16$ divided by $x + 4$
46416	Evaluate	x^4-81=0	$x^{4} - 81 = 0$
46417	Find the Derivative - d/dx	6.687(0.931)^x	$6.687 {(0.931)}^{x}$
46418	Solve the System of Equations	3a+b=1 a+b=3	$3 a + b = 1$ $a + b = 3$
46419	Write in Standard Form	(x^2+17x+70)+(x+10)	$(x^{2} + 17 x + 70) + (x + 10)$
46420	Find the Inverse	(x^(1/2))/4	$\frac{x^{\frac{1}{2}}}{4}$
46421	Write in Slope-Intercept Form	(-2,2) and (-5,-4)	$(- 2, 2)$ and $(- 5, - 4)$
46422	Convert to a Decimal	42deg	$42$ degrees
46423	Solve for x	-sec(x)^2=0	$- \sec^{2} (x) = 0$
46424	Solve for x	(x^2-1)/(x^2+5x+4)<=0	$\frac{x^{2} - 1}{x^{2} + 5 x + 4} \leq 0$
46425	Evaluate	square root of x-5=4	$\sqrt{x - 5} = 4$
46426	Solve for k	p(x)=x^4-2x^3+kx-4	$p (x) = x^{4} - 2 x^{3} + k x - 4$
46427	Simplify/Condense	log base b of 7- log base b of 7	$\log_{b} (7) - \log_{b} (7)$
46428	Find the Domain	y=((x-7)(x+10))/((x+10)(x-3)(x-7))	$y = \frac{(x - 7) (x + 10)}{(x + 10) (x - 3) (x - 7)}$
46429	Simplify	cube root of (3x)/(7x^2)	$\sqrt[3]{\frac{3 x}{7 x^{2}}}$
46430	Solve for x	6sin(8x)+2=-3	$6 \sin (8 x) + 2 = - 3$
46431	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-5,2) and has a slope of 4/5 ?	What is the equation of the line that passes through the point $(- 5, 2)$ and has a slope of $\frac{4}{5}$ ?
46432	Evaluate	1-2sin(75)^2	$1 - 2 \sin^{2} (75)$
46433	Find the Exact Value	fifth root of 89x^15	$\sqrt[5]{89 x^{15}}$
46434	Simplify	12+(2-(4*a^2))÷7+b	$12 + (2 - (4 \cdot a^{2})) \div 7 + b$
46435	Find the Integral	x(x^2+9)	$x (x^{2} + 9)$
46436	Evaluate the Function	f(x)=(7-8x)^2	$f (x) = {(7 - 8 x)}^{2}$
46437	Evaluate	60 degrees *pi/180 degrees	$60 ° \cdot \frac{π}{180 °}$
46438	Multiply	(-2 square root of 20k)(5 square root of 8k^3)	$(- 2 \sqrt{20 k}) (5 \sqrt{8 k^{3}})$
46439	Simplify	-3(2x^2-x+12)-4	$- 3 (2 x^{2} - x + 12) - 4$
46440	Evaluate the Limit	limit as x approaches infinity of (6x^3+4x^2+5)/(8x^3+7x-3)	$lim_{x \to \infty} \frac{6 x^{3} + 4 x^{2} + 5}{8 x^{3} + 7 x - 3}$
46441	Solve for r	square root of r=6	$\sqrt{r} = 6$
46442	Multiply	(x^2-1)/(x^2-6x+5)*(3x-15)/(6x)	$\frac{x^{2} - 1}{x^{2} - 6 x + 5} \cdot \frac{3 x - 15}{6 x}$
46443	Evaluate	8/(-4(x+3)^2+5(x+3))	$\frac{8}{- 4 {(x + 3)}^{2} + 5 (x + 3)}$
46444	Find the Antiderivative	(x^2+4)/x	$\frac{x^{2} + 4}{x}$
46445	Solve for x	16(1/2)^(x/3)=4	$16 {(\frac{1}{2})}^{\frac{x}{3}} = 4$
46446	Evaluate	sin((-pi)/4)	$\sin (\frac{- π}{4})$
46447	Evaluate	1/5-2/3+1	$\frac{1}{5} - \frac{2}{3} + 1$
46448	Simplify	(1/16)^0.5	${(\frac{1}{16})}^{0.5}$
46449	Find the Domain and Range	y=\|2x-1\|	$y = \| 2 x - 1 \|$
46450	Find the Derivative - d/dx	10000(1/x+x/(x+3))	$10000 (\frac{1}{x} + \frac{x}{x + 3})$
46451	Solve for x	0.5(2x+8)=x-4	$0.5 (2 x + 8) = x - 4$
46452	Find the Domain and Range	G(x) = log base 3 of 2x+1-2	$G (x) = \log_{3} (2 x + 1) - 2$
46453	Simplify the Radical Expression	cube root of 64x* fourth root of 16x^2	$\sqrt[3]{64 x} \cdot \sqrt[4]{16 x^{2}}$
46454	Solve the Differential Equation	(dy)/(dx)=(3-y)/2	$\frac{d y}{d x} = \frac{3 - y}{2}$
46455	Simplify	cube root of 5x^(k+1)* cube root of 25x^k	$\sqrt[3]{5 x^{k + 1}} \cdot \sqrt[3]{25 x^{k}}$
46456	Simplify	-x^2+-x^2	$- x^{2} + - x^{2}$
46457	Evaluate	121212+1212+1212+(12÷12)÷12+12÷12	$12 \cdot 12 \cdot 12 + 12 \cdot 12 + 12 \cdot 12 + 12 \div 12 \div 12 + 12 \div 12$
46458	Simplify	(12km^3)/(-4m^3)	$\frac{12 {km}^{3}}{- 4 m^{3}}$
46459	Factor	-x^8+4x^6-5x^4+2x^2	$- x^{8} + 4 x^{6} - 5 x^{4} + 2 x^{2}$
46460	Simplify	(3-4\|2(-3)\|)/(\|-3\|)	$\frac{3 - 4 \| 2 (- 3) \|}{\| - 3 \|}$
46461	Simplify the Radical Expression	(4^5*4^-7)÷(4^-2)	$4^{5} \cdot 4^{- 7} \div 4^{- 2}$
46462	Solve for x	4\|1-2x\|-7>=21	$4 \| 1 - 2 x \| - 7 \geq 21$
46463	Simplify	3x^3+x+4y^2+2y^2	$3 x^{3} + x + 4 y^{2} + 2 y^{2}$
46464	Evaluate	1/2 log base 3 of 81	$\frac{1}{2} \log_{3} (81)$
46465	Simplify	ab(-8a^3b^2)	$a b (- 8 a^{3} b^{2})$
46466	Find the x and y Intercepts	f(x)=x(4x+1)^2(x-6)(x-6)(x^2+1)(x^2-6)	$f (x) = x {(4 x + 1)}^{2} (x - 6) (x - 6) (x^{2} + 1) (x^{2} - 6)$
46467	Solve for x	4^2=3^2+x^2	$4^{2} = 3^{2} + x^{2}$
46468	Simplify	5/6a+4 1/4a	$\frac{5}{6} a + 4 \frac{1}{4} a$
46469	Simplify/Condense	2* log base 4 of 9+3* log base 4 of 2	$2 \cdot \log_{4} (9) + 3 \cdot \log_{4} (2)$
46470	Evaluate	(x^-2y^(1/2))/(x^(1/3)y^-1)	$\frac{x^{- 2} y^{\frac{1}{2}}}{x^{\frac{1}{3}} y^{- 1}}$
46471	Verify the Identity	(sec(B)+tan(B))(1-sin(B))=cos(B)	$(\sec (B) + \tan (B)) (1 - \sin (B)) = \cos (B)$
46472	Simplify	(x^(1/2)x^(-3/4))/(x^(1/4))	$\frac{x^{\frac{1}{2}} x^{\frac{- 3}{4}}}{x^{\frac{1}{4}}}$
46473	Find All Complex Solutions	cube root of x+2=5	$\sqrt[3]{x + 2} = 5$
46474	Evaluate	3sin(-(3pi)/2)	$3 \sin (- \frac{3 π}{2})$
46475	Simplify	n^2-4n-3n^2+7n+5n^2	$n^{2} - 4 n - 3 n^{2} + 7 n + 5 n^{2}$
46476	Solve the Inequality for x	fourth root of x+2>2	$\sqrt[4]{x + 2} > 2$
46477	Simplify the Radical Expression	fifth root of 1/(x^3)	$\sqrt[5]{\frac{1}{x^{3}}}$
46478	Evaluate	\|4(2-6)\|	$\| 4 (2 - 6) \|$
46479	Multiply	(x^2+3x-10)/(x^2-4)*(x+2)/(x^2-9)	$\frac{x^{2} + 3 x - 10}{x^{2} - 4} \cdot \frac{x + 2}{x^{2} - 9}$
46480	Solve for w	9(2+w)-4w=3w-10	$9 (2 + w) - 4 w = 3 w - 10$
46481	Solve for x	2x*7=17	$2 x \cdot 7 = 17$
46482	Find the Domain and Range	y=1/3cot(x)	$y = \frac{1}{3} \cot (x)$
46483	Solve for b	4b^2-19b+17=0	$4 b^{2} - 19 b + 17 = 0$
46484	Evaluate	4^4*(4^-2)^4	$4^{4} \cdot {(4^{- 2})}^{4}$
46485	Evaluate	2^-9*4^3	$2^{- 9} \times 4^{3}$
46486	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (6,-3) and has a slope of -2/3 ?	What is the equation of the line that passes through the point $(6, - 3)$ and has a slope of $- \frac{2}{3}$ ?
46487	Solve Using the Quadratic Formula	1/2y^2-1/2=3/8y	$\frac{1}{2} y^{2} - \frac{1}{2} = \frac{3}{8} y$
46488	Graph	Where does the polynomial y=x^2-3x+2 cross the x-axis ?	Where does the polynomial $y = x^{2} - 3 x + 2$ cross the $x - a x i s$ ?
46489	Graph	f(x)=-2x-7 if x<-5; -(x+2)^2+6 if -5<=x<0; square root of x-1 if x>=0	$f (x) = {\begin{cases} - 2 x - 7 & x < - 5 \\ - {(x + 2)}^{2} + 6 & - 5 \leq x < 0 \\ \sqrt{x} - 1 & x \geq 0 \end{cases}$
46490	Solve for a	cube root of 128- cube root of 16=a cube root of b	$\sqrt[3]{128} - \sqrt[3]{16} = a \sqrt[3]{b}$
46491	Simplify	((3^5)/(3^3))^2	${(\frac{3^{5}}{3^{3}})}^{2}$
46492	Simplify	-3/(- square root of 9)	$- \frac{3}{- \sqrt{9}}$
46493	Find the Exact Value	91 , 321 , 972*0.007004	$91$ , $321$ , $972 \times 0.007004$
46494	Find the x and y Intercepts	y=(x^2+11x+18)/(2x+1)	$y = \frac{x^{2} + 11 x + 18}{2 x + 1}$
46495	Simplify	fourth root of 7+3 fourth root of 7-11 fourth root of 7	$\sqrt[4]{7} + 3 \sqrt[4]{7} - 11 \sqrt[4]{7}$
46496	Evaluate	(5 square root of 3+ square root of 15)*(3 square root of 5- square root of 15)	$(5 \sqrt{3} + \sqrt{15}) \cdot (3 \sqrt{5} - \sqrt{15})$
46497	Find Where Increasing/Decreasing	f(x) = square root of 2x+3-2	$f (x) = \sqrt{2 x + 3} - 2$
46498	Rationalize the Denominator	-1/(2+ square root of 3)	$- \frac{1}{2 + \sqrt{3}}$
46499	Determine if Odd, Even, or Neither	f(x)=1/3x^2	$f (x) = \frac{1}{3} x^{2}$
46500	Simplify	2^-1+2^-1	$2^{- 1} + 2^{- 1}$