Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
32301	Solve Using the Quadratic Formula	h=70-10T-5t^2	$h = 70 - 10 T - 5 t^{2}$
32302	Simplify/Condense	log base b of 3- log base b of 3	$\log_{b} (3) - \log_{b} (3)$
32303	Solve for r	6r=3/8	$6 r = \frac{3}{8}$
32304	Solve Using the Quadratic Formula	0=-(1/2)x^2+3x+8	$0 = - (\frac{1}{2}) x^{2} + 3 x + 8$
32305	Find the x and y Intercepts	f(x)=-1/4 square root of 8-4x+1	$f (x) = - \frac{1}{4} \sqrt{8 - 4 x} + 1$
32306	Solve for x	(4x^2-1)/3=x(10x-9)	$\frac{4 x^{2} - 1}{3} = x (10 x - 9)$
32307	Solve for k	4(-3)^3+4(-3)^2-3k+3=-75	$4 {(- 3)}^{3} + 4 {(- 3)}^{2} - 3 k + 3 = - 75$
32308	Divide Using Synthetic Division	Use synthetic division to find the result when 2x^4-14x^3+16x^2-19x-30 is divided by x-6	Use synthetic division to find the result when $2 x^{4} - 14 x^{3} + 16 x^{2} - 19 x - 30$ is divided by $x - 6$
32309	Evaluate	95% of 40	$95 %$ of $40$
32310	Find the Parallel Line	y=-2x-6 , P=(4,6)	$y = - 2 x - 6$ , $P = (4, 6)$
32311	Solve the Inequality for x	4x^2+12x>=-x-3	$4 x^{2} + 12 x \geq - x - 3$
32312	Evaluate the Limit	limit as x approaches 0 of ((x+1)^2-1)/(x^2+x)	$lim_{x \to 0} \frac{{(x + 1)}^{2} - 1}{x^{2} + x}$
32313	Simplify	(5-9a^3)+(4a^2+6a-3)	$(5 - 9 a^{3}) + (4 a^{2} + 6 a - 3)$
32314	Simplify	a-(b-(c-(d-e)-f)-g)	$a - (b - (c - (d - e) - f) - g)$
32315	Add	(3x)/(x-6)+(6x)/(4x-24)	$\frac{3 x}{x - 6} + \frac{6 x}{4 x - 24}$
32316	Multiply	( square root of 2+ square root of 3)^2	${(\sqrt{2} + \sqrt{3})}^{2}$
32317	Solve for x	-4/3-(3x+1)/6=7	$\frac{- 4}{3} - \frac{3 x + 1}{6} = 7$
32318	Find the Derivative - d/dt	2/(2t)	$\frac{2}{2 t}$
32319	Graph	(-3,-1) union (-1,2) union (2,6)	$(- 3, - 1) \cup (- 1, 2) \cup (2, 6)$
32320	Determine if Linear	f(x)=3(x+2)	$f (x) = 3 (x + 2)$
32321	Solve Using a Matrix by Row Operations	x+y-2z+4t=5 2x+2y-3z+t=3 3x+3y-4z-2t=1	$x + y - 2 z + 4 t = 5$ $2 x + 2 y - 3 z + t = 3$ $3 x + 3 y - 4 z - 2 t = 1$
32322	Simplify	(-27)^(2/3)(81^(1/4))	${(- 27)}^{\frac{2}{3}} (81^{\frac{1}{4}})$
32323	Simplify	(24x^-1)/(8x^-5y^7)	$\frac{24 x^{- 1}}{8 x^{- 5} y^{7}}$
32324	Find the Domain	y=1/( square root of 1-x^2)	$y = \frac{1}{\sqrt{1 - x^{2}}}$
32325	Simplify	(7t^2+6t-1)-(3t-5t^2+4-t^3)	$(7 t^{2} + 6 t - 1) - (3 t - 5 t^{2} + 4 - t^{3})$
32326	Solve for z	18z^2-31z+12=-2z^2	$18 z^{2} - 31 z + 12 = - 2 z^{2}$
32327	Solve for a	square root of a* square root of b=6 square root of 5	$\sqrt{a} \cdot \sqrt{b} = 6 \sqrt{5}$
32328	Solve for p	2p^4=162	$2 p^{4} = 162$
32329	Simplify	(6\|4+(-10)\|)/(2*3^2)	$\frac{6 \| 4 + (- 10) \|}{2 \cdot 3^{2}}$
32330	Simplify	5/( square root of 4m^7)	$\frac{5}{\sqrt{4 m^{7}}}$
32331	Find the Antiderivative	4x* natural log of x	$4 x \cdot \ln (x)$
32332	Find the Holes in the Graph	f(x)=(2x^2)/(x^2-1)	$f (x) = \frac{2 x^{2}}{x^{2} - 1}$
32333	Solve for x	(x-4)/(x-2)=(x-2)/(x+2)-1/(2-x)	$\frac{x - 4}{x - 2} = \frac{x - 2}{x + 2} - \frac{1}{2 - x}$
32334	Graph	-y^2=x^2-36	$- y^{2} = x^{2} - 36$
32335	Find the Asymptotes	1/x+3	$\frac{1}{x} + 3$
32336	Solve for x	(3 square root of 3)^2 = square root of x	${(3 \sqrt{3})}^{2} = \sqrt{x}$
32337	Find the Product	1/2(2/3e-3+2e)=-4(1/8e+1-e)	$\frac{1}{2} (\frac{2}{3} e - 3 + 2 e) = - 4 (\frac{1}{8} e + 1 - e)$
32338	Identify the Polar Equation	x^2+(y-2)^2=4	$x^{2} + {(y - 2)}^{2} = 4$
32339	Find the Integral	x square root of x^2+1	$x \sqrt{x^{2} + 1}$
32340	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (7,-6) and has a slope of -2 ?	What is the equation of the line that passes through the point $(7, - 6)$ and has a slope of $- 2$ ?
32341	Evaluate	48/3+2(7)^2	$\frac{48}{3} + 2 {(7)}^{2}$
32342	Simplify the Radical Expression	( square root of 6)(4 square root of -9)	$(\sqrt{6}) (4 \sqrt{- 9})$
32343	Simplify	(5x-3)/(4x)-1/(6x)	$\frac{5 x - 3}{4 x} - \frac{1}{6 x}$
32344	Evaluate the Function Using Synthetic Division	p(-3) for p(x)=x^4-2x^3-4x+4	$p (- 3)$ for $p (x) = x^{4} - 2 x^{3} - 4 x + 4$
32345	Simplify	(6x)/(4/y-3/x)	$\frac{6 x}{\frac{4}{y} - \frac{3}{x}}$
32346	Find the Maximum/Minimum Value	f(x)=x^4+4x^3-8x^2+1	$f (x) = x^{4} + 4 x^{3} - 8 x^{2} + 1$
32347	Solve for x	6=x+ square root of x	$6 = x + \sqrt{x}$
32348	Simplify	5a+2b-5a+6b	$5 a + 2 b - 5 a + 6 b$
32349	Find the Exact Value	csc(15 degrees )	$\csc (15 °)$
32350	Evaluate the Integral	integral of 1/(a^2+x^2) with respect to a	$\int \frac{1}{a^{2} + x^{2}} d a$
32351	Write the Fraction in Simplest Form	(-3(j^-3a^4)^-3)/(3j^4a^8)	$\frac{- 3 {(j^{- 3} a^{4})}^{- 3}}{3 j^{4} a^{8}}$
32352	Find Where Increasing/Decreasing	y=(2/3)^x+2	$y = {(\frac{2}{3})}^{x} + 2$
32353	Solve for x	x=-5+3-3	$x = - 5 + 3 - 3$
32354	Find the Derivative - d/dx	(3+2x^2)/(1-5x^2)	$\frac{3 + 2 x^{2}}{1 - 5 x^{2}}$
32355	Write the Fraction in Simplest Form	(10h^-6)/((2y^-5h)^-1)	$\frac{10 h^{- 6}}{{(2 y^{- 5} h)}^{- 1}}$
32356	Graph	-1/2cos(x)	$- \frac{1}{2} \cos (x)$
32357	Simplify	cube root of 24-5 cube root of 81+ cube root of 1/9	$\sqrt[3]{24} - 5 \sqrt[3]{81} + \sqrt[3]{\frac{1}{9}}$
32358	Evaluate	log base 3 of 2+2 log base 3 of x	$\log_{3} (2) + 2 \log_{3} (x)$
32359	Find the Slope	Find the slope of the line passing through the points (-3,-8) and (5,6)	Find the slope of the line passing through the points $(- 3, - 8)$ and $(5, 6)$
32360	Find dy/dx	square root of x+y=5y^2	$\sqrt{x + y} = 5 y^{2}$
32361	Simplify	square root of -x^2+4	$\sqrt{- x^{2} + 4}$
32362	Find the Inverse	f(x)=(x1/4)/5	$f (x) = \frac{x \frac{1}{4}}{5}$
32363	Graph	y<-2/3x+1 y<=1/3x-2	$y < - \frac{2}{3} x + 1$ $y \leq \frac{1}{3} x - 2$
32364	Simplify	-4(2x^2+x-4)-15	$- 4 (2 x^{2} + x - 4) - 15$
32365	Simplify the Radical Expression	11 square root of 5-9 square root of 5-17 square root of 5	$11 \sqrt{5} - 9 \sqrt{5} - 17 \sqrt{5}$
32366	Solve the System of Equations	3x-3y=-9 and -6x+8y=6	$3 x - 3 y = - 9$ and $- 6 x + 8 y = 6$
32367	Simplify	(10ef^3)^5	${(10 e f^{3})}^{5}$
32368	Evaluate the Integral	integral of (x^3+5x^2-2)e^(2x) with respect to x	$\int (x^{3} + 5 x^{2} - 2) e^{2 x} d x$
32369	Evaluate the Integral	integral of (8/2x^8-x^6+7x^-4+1/2x^2+10) with respect to x	$\int (\frac{8}{2} x^{8} - x^{6} + 7 x^{- 4} + \frac{1}{2} x^{2} + 10) d x$
32370	Write in Exponential Form	log base x of y=1/w	$\log_{x} (y) = \frac{1}{w}$
32371	Convert to Radical Form	(32^2x^4y^12)^(1/5)	${(32^{2} x^{4} y^{12})}^{\frac{1}{5}}$
32372	Evaluate	(x^3y^6)^-2+(x^2y^4)^-3	${(x^{3} y^{6})}^{- 2} + {(x^{2} y^{4})}^{- 3}$
32373	Solve for x	log base 5 of 5^(x+1)-20=x	$\log_{5} (5^{x + 1} - 20) = x$
32374	Find the Derivative - d/dθ	x = square root of (1+cos(theta))/(1-cos(theta))	$x = \sqrt{\frac{1 + \cos (θ)}{1 - \cos (θ)}}$
32375	Divide Using Long Polynomial Division	(x^4+5x^3+3x^2)/x	$\frac{x^{4} + 5 x^{3} + 3 x^{2}}{x}$
32376	Convert to a Decimal	fatima has twice as much money as mona. if fatima has AED 68 ; then Mona has	fatima has twice as much money as mona. if fatima has AED $68$ ; then Mona has
32377	Simplify	1/5(15a+b)	$\frac{1}{5} (15 a + b)$
32378	Solve the Rational Equation for r	(r+5)/(r^2-2r)-1=1/(r^2-2r)	$\frac{r + 5}{r^{2} - 2 r} - 1 = \frac{1}{r^{2} - 2 r}$
32379	Subtract	(2x-10y+10z)-(6x+10z)	$(2 x - 10 y + 10 z) - (6 x + 10 z)$
32380	Evaluate	(( square root of 3)/2)/1	$\frac{\frac{\sqrt{3}}{2}}{1}$
32381	Add	-8x^2+3+-9x^2+3x-3	$- 8 x^{2} + 3 + - 9 x^{2} + 3 x - 3$
32382	Simplify	(-4^-6y^-6)^-4	${(- 4^{- 6} y^{- 6})}^{- 4}$
32383	Solve the Inequality for x	(\|x-4\|)/5<=2	$\frac{\| x - 4 \|}{5} \leq 2$
32384	Find the Antiderivative	(dx)/(x^2-2x+10)	$\frac{d x}{x^{2} - 2 x + 10}$
32385	Solve the Function Operation	f(x)=3x Find f^-1(x)	$f (x) = 3 x$ Find $f^{- 1} (x)$
32386	Solve for x	(10+5x)/15=4	$\frac{10 + 5 x}{15} = 4$
32387	Evaluate	square root of cube root of 64	$\sqrt[2]{\sqrt[3]{64}}$
32388	Simplify	(3x^4)/(7x)*(8x^2)/9	$\frac{3 x^{4}}{7 x} \cdot \frac{8 x^{2}}{9}$
32389	Find the Distance Between Two Points	What is the distance between the points (1,2) and (4,6) ?	What is the distance between the points $(1, 2)$ and $(4, 6)$ ?
32390	Simplify	((4x^2-2x)/(x^2+5x+4))÷((2x)/(x^2+2x+1))	$\frac{4 x^{2} - 2 x}{x^{2} + 5 x + 4} \div \frac{2 x}{x^{2} + 2 x + 1}$
32391	Find the Derivative - d/dx	y=( natural log of 1-x^2)/(x-1)	$y = \frac{\ln (1 - x^{2})}{x - 1}$
32392	Evaluate	square root of x+6=x	$\sqrt{x} + 6 = x$
32393	Solve for x	3x-5y>=10	$3 x - 5 y \geq 10$
32394	Simplify	( cube root of 1024s^3)( cube root of 50s)	$(\sqrt[3]{1024 s^{3}}) (\sqrt[3]{50 s})$
32395	Solve for x	(1/8)^(-2x-6)>(1/32)^(-x+11)	${(\frac{1}{8})}^{- 2 x - 6} > {(\frac{1}{32})}^{- x + 11}$
32396	Solve the Rational Equation for x	1-(7x)/(x-1)=-7/(x-1)	$1 - \frac{7 x}{x - 1} = - \frac{7}{x - 1}$
32397	Factor	6x(x^2+9)-7(x^2+9)	$6 x (x^{2} + 9) - 7 (x^{2} + 9)$
32398	Multiply	2(4x+2)(x-1)	$2 (4 x + 2) (x - 1)$
32399	Solve the Function Operation	f(x)=9-3x g(x)=5x-7 Find f(x)+g(x)	$f (x) = 9 - 3 x$ $g (x) = 5 x - 7$ Find $f (x) + g (x)$
32400	Find the Asymptotes	f(x)=((x^2-81)(2+x))/((x^2-4)(9+x))	$f (x) = \frac{(x^{2} - 81) (2 + x)}{(x^{2} - 4) (9 + x)}$