Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
38701	Write the Fraction in Simplest Form	3/(x-3)-5/(x+2)	$\frac{3}{x - 3} - \frac{5}{x + 2}$
38702	Evaluate	(xx^5y^-2)/(y^-8)	$\frac{x \cdot x^{5} y^{- 2}}{y^{- 8}}$
38703	Factor	q^2+q+5pq+5p	$q^{2} + q + 5 p q + 5 p$
38704	Find the GCF	24 and 56	$24$ and $56$
38705	Simplify	(r+2t)(8r+t-w)	$(r + 2 t) (8 r + t - w)$
38706	Simplify	(b^4c^6f^8)/(b^4c^3f^5)	$\frac{b^{4} c^{6} f^{8}}{b^{4} c^{3} f^{5}}$
38707	Solve for x	Solve: (x+3)^2-3=49	Solve: ${(x + 3)}^{2} - 3 = 49$
38708	Evaluate	((- square root of 2)/2)÷(( square root of 2)/2)	$\frac{- \sqrt{2}}{2} \div \frac{\sqrt{2}}{2}$
38709	Convert to Interval Notation	x^4-4x^3+8x>=0	$x^{4} - 4 x^{3} + 8 x \geq 0$
38710	Simplify	((2+x)/(8x))/((3+x)/x)	$\frac{\frac{2 + x}{8 x}}{\frac{3 + x}{x}}$
38711	Graph	f(x)=e^(1/x)	$f (x) = e^{\frac{1}{x}}$
38712	Solve for x	cube root of 2x+1=0	$\sqrt[3]{2 x} + 1 = 0$
38713	Find dy/dx	y=x^2y^3+x^3y^2	$y = x^{2} y^{3} + x^{3} y^{2}$
38714	Graph	y=(2x+5)(x-1)^2	$y = (2 x + 5) {(x - 1)}^{2}$
38715	Simplify	(7d^(3/2)2g^(5/6))(2g^(3/2)7d^(5/6))	$(7 d^{\frac{3}{2}} \cdot 2 g^{\frac{5}{6}}) (2 g^{\frac{3}{2}} \cdot 7 d^{\frac{5}{6}})$
38716	Graph	x^3+x^2-2x=0	$x^{3} + x^{2} - 2 x = 0$
38717	Solve for x	3/(x^2+x-2)-1/(x^2-1)=7/(2x^2+6x+4)	$\frac{3}{x^{2} + x - 2} - \frac{1}{x^{2} - 1} = \frac{7}{2 x^{2} + 6 x + 4}$
38718	Solve the System of Inequalities	y<-2/3x+3 y>=3x-8	$y < - \frac{2}{3} x + 3$ $y \geq 3 x - 8$
38719	Find the Exact Value	-(57)^0+(1/2)^-2-1^5	$- {(57)}^{0} + {(\frac{1}{2})}^{- 2} - 1^{5}$
38720	Solve for y	4/3(15-6y)-7=-11	$\frac{4}{3} (15 - 6 y) - 7 = - 11$
38721	Solve for x	(1/2x-7)/2=-3x+4	$\frac{\frac{1}{2} x - 7}{2} = - 3 x + 4$
38722	Simplify	((x^2-4)^4)/((x^2-4x+4) square root of x+2)	$\frac{{(x^{2} - 4)}^{4}}{(x^{2} - 4 x + 4) \sqrt{x + 2}}$
38723	Evaluate	log of 1/10 square root of 1000	$\log (\frac{1}{10} \sqrt{1000})$
38724	Solve for r	(\|-10+4r\|)/10>1	$\frac{\| - 10 + 4 r \|}{10} > 1$
38725	Solve for x	1/2x+3/4x=5-2.5x	$\frac{1}{2} x + \frac{3}{4} x = 5 - 2.5 x$
38726	Find the Roots (Zeros)	(2x+5)(x-6)	$(2 x + 5) (x - 6)$
38727	Graph	Graph the line y=-5	Graph the line $y = - 5$
38728	Find the Average Rate of Change	y=x^2+2x-1	$y = x^{2} + 2 x - 1$
38729	Find dx/dy	y=2sin(x)	$y = 2 \sin (x)$
38730	Simplify	(6^(1/2)*0.4^(1/3))^2	${(6^{\frac{1}{2}} \cdot {0.4}^{\frac{1}{3}})}^{2}$
38731	Solve the System of Inequalities	-2a+3>=6a-1>3a-10	$- 2 a + 3 \geq 6 a - 1 > 3 a - 10$
38732	Find the Roots (Zeros)	x^5-3x^4+x^3+x^2+4=0	$x^{5} - 3 x^{4} + x^{3} + x^{2} + 4 = 0$
38733	Solve the System of Equations	x-y-2w=3 2x-3y+w=1 -2x+2y+4w=-6	$x - y - 2 w = 3$ $2 x - 3 y + w = 1$ $- 2 x + 2 y + 4 w = - 6$
38734	Evaluate the Integral	integral of xcos(4pix^2) with respect to x	$\int x \cos (4 π x^{2}) d x$
38735	Evaluate the Summation	sum from i=4 to 7 of 2^(i-7)	$\sum_{i = 4}^{7} 2^{i - 7}$
38736	Evaluate the Limit	limit as x approaches 2 of (3- square root of 2x+5)/(x-2)	$lim_{x \to 2} \frac{3 - \sqrt{2 x + 5}}{x - 2}$
38737	Simplify	(5/(x+6)-(2x)/(2x-1))/(x/(2x-1)+4/(x+6))	$\frac{\frac{5}{x + 6} - \frac{2 x}{2 x - 1}}{\frac{x}{2 x - 1} + \frac{4}{x + 6}}$
38738	Simplify	(b^2c)/(b^2c^5)	$\frac{b^{2} c}{b^{2} c^{5}}$
38739	Simplify	(4-i square root of 2)-(3+i square root of 2)+8i	$(4 - i \sqrt{2}) - (3 + i \sqrt{2}) + 8 i$
38740	Simplify	(1-x-y)^2	${(1 - x - y)}^{2}$
38741	Evaluate	(10^0r^-11*8)/(3^2)	$\frac{10^{0} r^{- 11} \cdot 8}{3^{2}}$
38742	Simplify	( square root of -32)/( square root of -50)	$\frac{\sqrt{- 32}}{\sqrt{- 50}}$
38743	Simplify	(10m^3n^4-15mn)/(5mn)	$\frac{10 m^{3} n^{4} - 15 m n}{5 m n}$
38744	Subtract	(19pi)/6-2pi	$\frac{19 π}{6} - 2 π$
38745	Evaluate	10% of 10	$10 %$ of $10$
38746	Graph	-x+2y-4<0	$- x + 2 y - 4 < 0$
38747	Solve the System of Equations	-9+5y=-4x -11x=-20+9y	$- 9 + 5 y = - 4 x$ $- 11 x = - 20 + 9 y$
38748	Simplify	((2xy)(3x^2y^3))/(x^3y)	$\frac{(2 x y) (3 x^{2} y^{3})}{x^{3} y}$
38749	Simplify	((8xy^2)/(z^3))^3	${(\frac{8 x y^{2}}{z^{3}})}^{3}$
38750	Evaluate Using the Given Value	2(5x-3y+7)-8+6x ; When x=4 and y=2 ?	$2 (5 x - 3 y + 7) - 8 + 6 x$ ; When $x = 4$ and $y = 2$ ?
38751	Divide Using Synthetic Division	Use synthetic division to find the result when 3x^3+13x^2+x-12 is divided by x+4	Use synthetic division to find the result when $3 x^{3} + 13 x^{2} + x - 12$ is divided by $x + 4$
38752	Find the Asymptotes	((x^2-2x+3)/(5x^3-7x^2+2x-7))	$(\frac{x^{2} - 2 x + 3}{5 x^{3} - 7 x^{2} + 2 x - 7})$
38753	Simplify	pi/(2/3)	$\frac{π}{\frac{2}{3}}$
38754	Evaluate Using the Given Value	m-n÷4 ; use m=5 ; and n=8	$m - n \div 4$ ; use $m = 5$ ; and $n = 8$
38755	Factor	4ac-7bd+bc-28ad	$4 a c - 7 b d + b c - 28 a d$
38756	Simplify	(x+3)/(x-6)-7/(x-3)	$\frac{x + 3}{x - 6} - \frac{7}{x - 3}$
38757	Divide	(-x^6+x^5+7x^2-9)÷(x^4)	$(- x^{6} + x^{5} + 7 x^{2} - 9) \div x^{4}$
38758	Simplify	square root of x^-1	$\sqrt{x^{- 1}}$
38759	Simplify	(a-2)/2-1-(a-3)/3	$\frac{a - 2}{2} - 1 - \frac{a - 3}{3}$
38760	Evaluate	1/2(3)^2pi/6	$\frac{1}{2} {(3)}^{2} \frac{π}{6}$
38761	Evaluate the Limit	limit as x approaches infinity of ((k^2+2)x^3+k^2x-2k square root of 2x^3+2)/(x^2-5)	$lim_{x \to \infty} \frac{(k^{2} + 2) x^{3} + k^{2} x - 2 k \sqrt{2} x^{3} + 2}{x^{2} - 5}$
38762	Evaluate	9^6=x^3*9^3	$9^{6} = x^{3} \cdot 9^{3}$
38763	Solve for h	h/-7.5=-4	$\frac{h}{- 7.5} = - 4$
38764	Simplify	p/(3p-1)-p/(3p+1)	$\frac{p}{3 p - 1} - \frac{p}{3 p + 1}$
38765	Solve for t	t^3+64=0	$t^{3} + 64 = 0$
38766	Evaluate the Integral	integral of (5 square root of y-3/( square root of 7)) with respect to x	$\int (5 \sqrt{y} - \frac{3}{\sqrt{7}}) d x$
38767	Graph	(x+2y-1)(x-y+2)>0	$(x + 2 y - 1) (x - y + 2) > 0$
38768	Find the Derivative - d/dA	cos(A)^2	$\cos^{2} (A)$
38769	Solve for x	13x-9=19-16+x	$13 x - 9 = 19 - 16 + x$
38770	Find the x and y Intercepts	f(x)=x^2(x^2-3)(6x+5)	$f (x) = x^{2} (x^{2} - 3) (6 x + 5)$
38771	Solve for x	10x+3+10x=13x-3+7x	$10 x + 3 + 10 x = 13 x - 3 + 7 x$
38772	Find the Exact Value	sin(225 degrees )^2-cos(225 degrees )^2	$\sin^{2} (225 °) - \cos^{2} (225 °)$
38773	Simplify	m/(3m+6)-(4m)/(m+2)	$\frac{m}{3 m + 6} - \frac{4 m}{m + 2}$
38774	Solve for x	-3(10-x)=11x-2(4x+15)	$- 3 (10 - x) = 11 x - 2 (4 x + 15)$
38775	Simplify	((3m^2n^7)/(mn^3))^5	${(\frac{3 m^{2} n^{7}}{m n^{3}})}^{5}$
38776	Find the Remainder	x^5-1024 is divided by x-4	$x^{5} - 1024$ is divided by $x - 4$
38777	Find the Asymptotes	(2(x+6)(x+1))/((2x-5)(x+1))	$\frac{2 (x + 6) (x + 1)}{(2 x - 5) (x + 1)}$
38778	Divide	(-15x^5y^4)/(45xy^3)	$\frac{- 15 x^{5} y^{4}}{45 x y^{3}}$
38779	Simplify	x/(2x+6)	$\frac{x}{2 x + 6}$
38780	Solve the Inequality for x	-9>=2/5x+7	$- 9 \geq \frac{2}{5} x + 7$
38781	Solve the Inequality for x	-4x>-9+8(-3/2x+1)-x	$- 4 x > - 9 + 8 (- \frac{3}{2} x + 1) - x$
38782	Solve for b	x=(4a+b)/3	$x = \frac{4 a + b}{3}$
38783	Solve for x	3x(2x+3)=2x(x+4.5)+2	$3 x (2 x + 3) = 2 x (x + 4.5) + 2$
38784	Solve the Inequality for g	-3(6-2g)>4g	$- 3 (6 - 2 g) > 4 g$
38785	Find the Maximum/Minimum Value	f(x)=x^4+x+2	$f (x) = x^{4} + x + 2$
38786	Solve the Inequality for x	4(2x+5)-2x>=10	$4 (2 x + 5) - 2 x \geq 10$
38787	Simplify	( cube root of 45z^5)( cube root of 4z)	$(\sqrt[3]{45 z^{5}}) (\sqrt[3]{4 z})$
38788	Multiply	(6/7p^4r^3)(r^2z^4)(14p^3z^2)	$(\frac{6}{7} p^{4} r^{3}) (r^{2} z^{4}) (14 p^{3} z^{2})$
38789	Simplify the Radical Expression	3/( square root of 12)	$\frac{3}{\sqrt{12}}$
38790	Divide	( fourth root of 36)÷( fourth root of 6)	$\sqrt[4]{36} \div \sqrt[4]{6}$
38791	Simplify	3x(xy-4)+3(4xy+3)-xy(x^2y-1)	$3 x (x y - 4) + 3 (4 x y + 3) - x y (x^{2} y - 1)$
38792	Write Using Positive Exponents	8^-2*a^7	$8^{- 2} \cdot a^{7}$
38793	Simplify	(4a)/(4ab^2)-(2a-3b)/4	$\frac{4 a}{4 a b^{2}} - \frac{2 a - 3 b}{4}$
38794	Simplify	(x-0)^2+(y-0)^2	${(x - 0)}^{2} + {(y - 0)}^{2}$
38795	Solve Over the Interval	sin(theta)=0.62 , 90 degrees <theta<180 degrees	$\sin (θ) = 0.62$ , $90 ° < θ < 180 °$
38796	Solve by Addition/Elimination	4x+2y=6 -3x-2y=-4	$4 x + 2 y = 6$ $- 3 x - 2 y = - 4$
38797	Evaluate	(-2^4)÷4-(4x)÷6+10	$- 2^{4} \div 4 - 4 x \div 6 + 10$
38798	Simplify	((x^-4)/(y^-6))^(-1/2)	${(\frac{x^{- 4}}{y^{- 6}})}^{- \frac{1}{2}}$
38799	Find the Asymptotes	f(x)=((x-6)(x-8)(x-3))/(2x^3+x^2-7x-8)	$f (x) = \frac{(x - 6) (x - 8) (x - 3)}{2 x^{3} + x^{2} - 7 x - 8}$
38800	Simplify the Matrix	(-5w^4y^-2)/(-15w^-6y^2) , w!=0 , y!=0	$\frac{- 5 w^{4} y^{- 2}}{- 15 w^{- 6} y^{2}}$ , $w \neq 0$ , $y \neq 0$