Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
24701	Solve the Inequality for x	-2+ square root of 9-5x>=6	$- 2 + \sqrt{9 - 5 x} \geq 6$
24702	Solve the System of Equations	2x+9y-4z=-5 -x+2y-z=-3 x-4y+2z=4	$2 x + 9 y - 4 z = - 5$ $- x + 2 y - z = - 3$ $x - 4 y + 2 z = 4$
24703	Solve for b	a=-bc+d	$a = - b c + d$
24704	Write in Standard Form	(2x^2-2x+6)+(11x^3-x^2-2+5x)	$(2 x^{2} - 2 x + 6) + (11 x^{3} - x^{2} - 2 + 5 x)$
24705	Evaluate	limit as x approaches infinity of sin(x)	$lim_{x \to \infty} \sin (x)$
24706	Simplify the Radical Expression	21 root of c^-3*c^-4	$\sqrt[21]{c^{- 3} \cdot c^{- 4}}$
24707	Solve the Function Operation	f(x)=(x-8)^2-6 if x!=5; 2 if x=5 Find f(5)	$f (x) = {\begin{cases} {(x - 8)}^{2} - 6 & x \neq 5 \\ 2 & x = 5 \end{cases}$ Find $f (5)$
24708	Solve for x	log of (4x-3)^2=x-3	$\log ({(4 x - 3)}^{2}) = x - 3$
24709	Evaluate	(6-5)+4-2*3^2	$(6 - 5) + 4 - 2 \cdot 3^{2}$
24710	Simplify	((x^2-12x+32)/(2x^3-18x^2+40x)*(x^2-1)/(x^2-7x-8))÷((x^2+4x-5)/(25-x^2))	$\frac{x^{2} - 12 x + 32}{2 x^{3} - 18 x^{2} + 40 x} \cdot \frac{x^{2} - 1}{x^{2} - 7 x - 8} \div \frac{x^{2} + 4 x - 5}{25 - x^{2}}$
24711	Simplify	((-2d^2+d+15)/(9-d^2))÷((4d+1)/(2d^2+11d+15))	$\frac{- 2 d^{2} + d + 15}{9 - d^{2}} \div \frac{4 d + 1}{2 d^{2} + 11 d + 15}$
24712	Simplify	square root of (79a^2b^2)/(9a^2b^2)	$\sqrt{\frac{79 a^{2} b^{2}}{9 a^{2} b^{2}}}$
24713	Solve for x	y=x^6	$y = x^{6}$
24714	Evaluate	3(8+-5)	$3 (8 + - 5)$
24715	Find the Roots (Zeros)	3x^2+66=-30x	$3 x^{2} + 66 = - 30 x$
24716	Solve for r	6^(2r-3)=6^(r-3)	$6^{2 r - 3} = 6^{r - 3}$
24717	Find the Tangent Line at (1,1)	f(x)=x^3 at (1,1)	$f (x) = x^{3}$ at $(1, 1)$
24718	Simplify	square root of xy^2z^3+ square root of 9xy^2z^3	$\sqrt{x y^{2} z^{3}} + \sqrt{9 x y^{2} z^{3}}$
24719	Evaluate	(5-11)/2+7(8)	$\frac{5 - 11}{2} + 7 (8)$
24720	Add	3 1/2+1 4/8	$3 \frac{1}{2} + 1 \frac{4}{8}$
24721	Find the Parallel Line	What is an equation of the line that passes through the point (-8,0) and is parallel to the line x-2y=10 ?	What is an equation of the line that passes through the point $(- 8, 0)$ and is parallel to the line $x - 2 y = 10$ ?
24722	Write in Slope-Intercept Form	4/7y=x+4	$\frac{4}{7} y = x + 4$
24723	Evaluate	square root of 8*2	$\sqrt{8} \cdot 2$
24724	Write in Slope-Intercept Form	(-3,3) and (1,2)	$(- 3, 3)$ and $(1, 2)$
24725	Graph	y<=2(x-3)^2	$y \leq 2 {(x - 3)}^{2}$
24726	Simplify	(1-25/(k^2))/(1-7/k+10/(k^2))	$\frac{1 - \frac{25}{k^{2}}}{1 - \frac{7}{k} + \frac{10}{k^{2}}}$
24727	Find the Derivative - d/dx	(2x+3)^3 square root of 4x^3-1	${(2 x + 3)}^{3} \sqrt{4 x^{3} - 1}$
24728	Find the Roots (Zeros)	f(x)=x^4+x^3-4x^2-4x	$f (x) = x^{4} + x^{3} - 4 x^{2} - 4 x$
24729	Solve the Inequality for p	-p/7>-9	$- \frac{p}{7} > - 9$
24730	Simplify	square root of x*(- square root of x)	$\sqrt{x} \cdot (- \sqrt{x})$
24731	Find the Asymptotes	f(x)=(x^3)/(5x^3-40)	$f (x) = \frac{x^{3}}{5 x^{3} - 40}$
24732	Simplify	2/(2^2)	$\frac{2}{2^{2}}$
24733	Solve for x	6^2=5^2+x^2	$6^{2} = 5^{2} + x^{2}$
24734	Simplify	(11x^5+7x^3-2x)/(x^2)	$\frac{11 x^{5} + 7 x^{3} - 2 x}{x^{2}}$
24735	Solve for x	4/(x-2)-2/x=14/(x^2-2x)	$\frac{4}{x - 2} - \frac{2}{x} = \frac{14}{x^{2} - 2 x}$
24736	Round to the Nearest Whole Number	7/8	$\frac{7}{8}$
24737	Solve for x in Degrees	cos(x)=1/( square root of 2)	$\cos (x) = \frac{1}{\sqrt{2}}$
24738	Factor	(a^6-b^6)	$(a^{6} - b^{6})$
24739	Simplify	(3y+8y^2+2)-3(y^2-2y+5)	$(3 y + 8 y^{2} + 2) - 3 (y^{2} - 2 y + 5)$
24740	Write the Fraction in Simplest Form	(9 square root of 2)/( square root of 10+ square root of 18)	$\frac{9 \sqrt{2}}{\sqrt{10} + \sqrt{18}}$
24741	Evaluate the Limit	limit as x approaches infinity of (1/x)^x	$lim_{x \to \infty} {(\frac{1}{x})}^{x}$
24742	Convert to Radical Form	(6a^2b^3)^(-1/2)	${(6 a^{2} b^{3})}^{- \frac{1}{2}}$
24743	Simplify	4/(x+5)+(2x)/(x^2-25)	$\frac{4}{x + 5} + \frac{2 x}{x^{2} - 25}$
24744	Rationalize the Denominator	4/( cube root of 2x)	$\frac{4}{\sqrt[3]{2 x}}$
24745	Simplify	square root of (4- square root of 3)^2+ square root of 28+10 square root of 3	$\sqrt{{(4 - \sqrt{3})}^{2}} + \sqrt{28 + 10 \sqrt{3}}$
24746	Factor	x^3-4x^2y-xy^2+4y^3	$x^{3} - 4 x^{2} y - x y^{2} + 4 y^{3}$
24747	Divide	1÷(( square root of 2)/2)	$1 \div \frac{\sqrt{2}}{2}$
24748	Solve for I	I/175.393+0.663=r	$\frac{I}{175.393} + 0.663 = r$
24749	Convert to a Decimal	-11pirad	$- 11 π$ radians
24750	Simplify	(7x^3+7x^2-4)+(x^3-5x^2-3x+8)	$(7 x^{3} + 7 x^{2} - 4) + (x^{3} - 5 x^{2} - 3 x + 8)$
24751	Solve for x	3x^2=2+x	$3 x^{2} = 2 + x$
24752	Evaluate	1 2/3-(-5 2/3)	$1 \frac{2}{3} - (- 5 \frac{2}{3})$
24753	Find the Exact Value	2-(9-(4-3))	$2 - (9 - (4 - 3))$
24754	Write in Slope-Intercept Form	(-4,13) and (-2,6)	$(- 4, 13)$ and $(- 2, 6)$
24755	Solve for x	-10+4x-5x=-7-2+8x	$- 10 + 4 x - 5 x = - 7 - 2 + 8 x$
24756	Simplify	(5x(y+2))/(6y+12)	$\frac{5 x (y + 2)}{6 y + 12}$
24757	Find the Exact Value	tan(2)(-1/3)	$\tan (2) (- \frac{1}{3})$
24758	Solve the System of Inequalities	3/4x+7<1 or 9(4-x)<=36	$\frac{3}{4} x + 7 < 1$ or $9 (4 - x) \leq 36$
24759	Solve for b	(6b)^(1/2)=(8-2b)^(1/2)	${(6 b)}^{\frac{1}{2}} = {(8 - 2 b)}^{\frac{1}{2}}$
24760	Solve for x	10/(2x+8)=10	$\frac{10}{2 x + 8} = 10$
24761	Solve the System of Equations	x+y=3 y=x-5	$x + y = 3$ $y = x - 5$
24762	Solve the System of Equations	x=2y+5 y=(2x-3)(x+9)	$x = 2 y + 5$ $y = (2 x - 3) (x + 9)$
24763	Find the GCF	x^5y^2+x^2y^7z	$x^{5} y^{2} + x^{2} y^{7} z$
24764	Simplify	zx^-3y^0*2zx^-1y^-1	$z x^{- 3} y^{0} \cdot 2 z x^{- 1} y^{- 1}$
24765	Subtract	(8b^3-6+3b^4)-(b^4-7b^3-3)	$(8 b^{3} - 6 + 3 b^{4}) - (b^{4} - 7 b^{3} - 3)$
24766	Evaluate	(52^32-42^30)/(4^16)	$\frac{5 \cdot 2^{32} - 4 \cdot 2^{30}}{4^{16}}$
24767	Find the Critical Points	(2x-8)^(2/3)	${(2 x - 8)}^{\frac{2}{3}}$
24768	Simplify	1/20+2/(5x^3)	$\frac{1}{20} + \frac{2}{5 x^{3}}$
24769	Divide	(-30x^3y+12x^2y^2-18x^2y)÷(-6x^2y)	$(- 30 x^{3} y + 12 x^{2} y^{2} - 18 x^{2} y) \div (- 6 x^{2} y)$
24770	Evaluate the Integral	integral from 0 to 1 of (1+2x+3x^2) with respect to x	$\int_{0}^{1} (1 + 2 x + 3 x^{2}) d x$
24771	Solve for x	x^3-x=3x^2+1	$x^{3} - x = 3 x^{2} + 1$
24772	Simplify	((x-1)/(x+1))÷((x^2-2x+1)/(x^2-x-2))	$\frac{x - 1}{x + 1} \div \frac{x^{2} - 2 x + 1}{x^{2} - x - 2}$
24773	Solve by Substitution	5x+2y=9 and x+y=-3	$5 x + 2 y = 9$ and $x + y = - 3$
24774	Simplify	(mn+1)(m^2n-1)(mn^2+2)	$(m n + 1) (m^{2} n - 1) (m n^{2} + 2)$
24775	Solve by Substitution	x-6y+4=0 y=-3	$x - 6 y + 4 = 0$ $y = - 3$
24776	Simplify	x/(x-2)+5/x	$\frac{x}{x - 2} + \frac{5}{x}$
24777	Simplify	square root of 15x^2 square root of 15x	$\sqrt{15 x^{2}} \sqrt{15 x}$
24778	Find the Derivative - d/dx	( cube root of 64x^6)/(x^5)	$\frac{\sqrt[3]{64 x^{6}}}{x^{5}}$
24779	Evaluate	0.04(8(2)-(2)^2)	$0.04 (8 (2) - {(2)}^{2})$
24780	Simplify	8+7(2x-9)+x	$8 + 7 (2 x - 9) + x$
24781	Find the Antiderivative	f'(x)	$f' (x)$
24782	Simplify	(2x)/(x^2+3x+2)-x/(x^2-4)	$\frac{2 x}{x^{2} + 3 x + 2} - \frac{x}{x^{2} - 4}$
24783	Find the Slope	(-5,4) and (1,6)	$(- 5, 4)$ and $(1, 6)$
24784	Graph	e^(-\|x\|)	$e^{- \| x \|}$
24785	Divide Using Synthetic Division	Use synthetic division to find the result when 4x^4-9x^3-30x^2+13x-20 is divided by x-4	Use synthetic division to find the result when $4 x^{4} - 9 x^{3} - 30 x^{2} + 13 x - 20$ is divided by $x - 4$
24786	Simplify	(6-8x)/(4x^2-3x)	$\frac{6 - 8 x}{4 x^{2} - 3 x}$
24787	Solve the System of Inequalities	5x+2y>19 x+y>=5	$5 x + 2 y > 19$ $x + y \geq 5$
24788	Determine the Possible Number of Real Roots	cube root of -27	$\sqrt[3]{- 27}$
24789	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-6,2) and has a slope of -3/2 ?	What is the equation of the line that passes through the point $(- 6, 2)$ and has a slope of $- \frac{3}{2}$ ?
24790	Verify the Identity	(1-sin(t))/(cos(t)^2)+1/(1-sin(t))=2sec(t)^2	$\frac{1 - \sin (t)}{\cos^{2} (t)} + \frac{1}{1 - \sin (t)} = 2 \sec^{2} (t)$
24791	Add	(5x^2-3x+4)+(6x-3x^2-3)	$(5 x^{2} - 3 x + 4) + (6 x - 3 x^{2} - 3)$
24792	Solve the Function Operation	If P(x)=x^2+x+1 ; find P(6)	If $P (x) = x^{2} + x + 1$ ; find $P (6)$
24793	Factor	(9x+10)^2-4x(9x+10)	${(9 x + 10)}^{2} - 4 x (9 x + 10)$
24794	Solve for x in Radians	tan(x)^2=1/3	$\tan^{2} (x) = \frac{1}{3}$
24795	Evaluate the Limit	limit as x approaches 7 of ( fifth root of x+25-2)/(x-7)	$lim_{x \to 7} \frac{\sqrt[5]{x + 25} - 2}{x - 7}$
24796	Find the LCD	(7x)/(x+2) and 5/(2x)	$\frac{7 x}{x + 2}$ and $\frac{5}{2 x}$
24797	Graph	y=-2 natural log of x-1+1	$y = - 2 \ln (x - 1) + 1$
24798	Evaluate the Limit	limit as x approaches 1 from the left of G(x)	$lim_{x \to 1^{-}} G (x)$
24799	Find the Derivative - d/dw	y=((w^3+4)^5)/8	$y = \frac{{(w^{3} + 4)}^{5}}{8}$
24800	Factor	(m+n)^4(m-n)-(m-n)^4(m+n)	${(m + n)}^{4} (m - n) - {(m - n)}^{4} (m + n)$