Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
15201	Factor	(1/x)^2-1	${(\frac{1}{x})}^{2} - 1$
15202	Simplify	(x^2)/(x^2-4)-(x-1)/(x+2)	$\frac{x^{2}}{x^{2} - 4} - \frac{x - 1}{x + 2}$
15203	Simplify	3/4r+2r+1/2r	$\frac{3}{4} r + 2 r + \frac{1}{2} r$
15204	Solve for x	(x+1)/(x^2+2x-48)=x/(x+8)-1/(x-6)	$\frac{x + 1}{x^{2} + 2 x - 48} = \frac{x}{x + 8} - \frac{1}{x - 6}$
15205	Multiply	(-6c^2d)(-4c^3d^4e)	$(- 6 c^{2} d) (- 4 c^{3} d^{4} e)$
15206	Evaluate the Integral	integral of (2+tan(theta)^2) with respect to theta	$\int (2 + \tan^{2} (θ)) d θ$
15207	Simplify	((3x-6)^2)/((2-x)^2)	$\frac{{(3 x - 6)}^{2}}{{(2 - x)}^{2}}$
15208	Find dy/dx	-3y^3-5-y^2-x^3=y	$- 3 y^{3} - 5 - y^{2} - x^{3} = y$
15209	Convert to Radical Form	x^(1/4)*x^(1/3)	$x^{\frac{1}{4}} \cdot x^{\frac{1}{3}}$
15210	Solve by Graphing	y=1/2x-5 x+y=1	$y = \frac{1}{2} x - 5$ $x + y = 1$
15211	Simplify	(10a^4)/(a^2-9)*(a^2-3a)/(15a^2)	$\frac{10 a^{4}}{a^{2} - 9} \cdot \frac{a^{2} - 3 a}{15 a^{2}}$
15212	Evaluate	1/4(2pi)	$\frac{1}{4} (2 π)$
15213	Simplify	((x^2)/(x+2))/((x^3)/(2x+4))	$\frac{\frac{x^{2}}{x + 2}}{\frac{x^{3}}{2 x + 4}}$
15214	Solve the Inequality for x	(4x+3)/2>=2x	$\frac{4 x + 3}{2} \geq 2 x$
15215	Graph	F(x)=e^(-2x)	$F (x) = e^{- 2 x}$
15216	Simplify	(2x^2+6x-20)/(2x-4)	$\frac{2 x^{2} + 6 x - 20}{2 x - 4}$
15217	Solve the Rational Equation for s	fourth root of 2s+10=4	$\sqrt[4]{2 s + 10} = 4$
15218	Simplify	(6mn-9)(m^2n-7)	$(6 m n - 9) (m^{2} n - 7)$
15219	Solve for x	3^(1/2)*3^(1/x) = sixth root of 3^5	$3^{\frac{1}{2}} \cdot 3^{\frac{1}{x}} = \sqrt[6]{3^{5}}$
15220	Find the Product	(3x+2y+z)^2	${(3 x + 2 y + z)}^{2}$
15221	Find the Derivative - d/dx	(-sin(-2x))	$(- \sin (- 2 x))$
15222	Simplify	( square root of 8- square root of 3)/( square root of 2+ square root of 12)	$\frac{\sqrt{8} - \sqrt{3}}{\sqrt{2} + \sqrt{12}}$
15223	Find the Derivative - d/dx	y=4 square root of x^5	$y = 4 \sqrt{x^{5}}$
15224	Simplify	( square root of 125x)/( square root of 5)	$\frac{\sqrt{125 x}}{\sqrt{5}}$
15225	Solve for y	square root of y^6-2y^3+1=y^3-1	$\sqrt{y^{6} - 2 y^{3} + 1} = y^{3} - 1$
15226	Evaluate Using the Given Value	3x^3-2y^3-6x^2y^2+xy for x=2/3 and y=1/2	$3 x^{3} - 2 y^{3} - 6 x^{2} y^{2} + x y$ for $x = \frac{2}{3}$ and $y = \frac{1}{2}$
15227	Simplify	(8a+4b)/(2ab+b^2-2ad-bd)	$\frac{8 a + 4 b}{2 a b + b^{2} - 2 a d - b d}$
15228	Multiply	square root of 3(-5 square root of 10+ square root of 6)	$\sqrt{3} (- 5 \sqrt{10} + \sqrt{6})$
15229	Divide	(22x^2y^2)÷11x^2y^2	$22 x^{2} y^{2} \div 11 x^{2} y^{2}$
15230	Simplify	(2(x+2))/(6(x+2))	$\frac{2 (x + 2)}{6 (x + 2)}$
15231	Find the First Term	3n^2-1	$3 n^{2} - 1$
15232	Solve the Rational Equation for x	cube root of x=3 cube root of 7	$\sqrt[3]{x} = 3 \sqrt[3]{7}$
15233	Simplify	5/(21k-18)+(7k)/(2k)	$\frac{5}{21 k - 18} + \frac{7 k}{2 k}$
15234	Simplify	(b^2)^0=b^8	${(b^{2})}^{0} = b^{8}$
15235	Solve the Inequality for x	-(ax)/b>=c-d	$- \frac{a x}{b} \geq c - d$
15236	Evaluate	216^x=6^(x+10)	$216^{x} = 6^{x + 10}$
15237	Simplify	(x-3)/(x+3)-1/(x-3)+(x+2)/(3-x)	$\frac{x - 3}{x + 3} - \frac{1}{x - 3} + \frac{x + 2}{3 - x}$
15238	Simplify	square root of square root of 64	$\sqrt{\sqrt[2]{64}}$
15239	Find the Class Width	9 , 8 , 7 , 1 , 0 , 3 , 8 , 9	$9$ , $8$ , $7$ , $1$ , $0$ , $3$ , $8$ , $9$
15240	Simplify	(3e-7b)(8e+9b)	$(3 e - 7 b) (8 e + 9 b)$
15241	Write in Standard Form	(3x^2+2x)+(-x+9)	$(3 x^{2} + 2 x) + (- x + 9)$
15242	Simplify	(a^-7b^2)/(c^3d^-4)	$\frac{a^{- 7} b^{2}}{c^{3} d^{- 4}}$
15243	Evaluate	1/128=2^(5x+3)	$\frac{1}{128} = 2^{5 x + 3}$
15244	Simplify	square root of 2^6* fourth root of 4	$\sqrt{2^{6}} \cdot \sqrt[4]{4}$
15245	Solve the Function Operation	f(7) if f(x)=5x	$f (7)$ if $f (x) = 5 x$
15246	Find the End Behavior	f(x)=3	$f (x) = 3$
15247	Factor	Factor: x^2-25	Factor: $x^{2} - 25$
15248	Simplify	cube root of 27(x-y)^3	$\sqrt[3]{27 {(x - y)}^{3}}$
15249	Find the Equation Using Two Points	f(4)=-3 and f(0)=-2	$f (4) = - 3$ and $f (0) = - 2$
15250	Solve the System of Equations	y=-(x-2)^2+4 y=-5	$y = - {(x - 2)}^{2} + 4$ $y = - 5$
15251	Combine Like Terms	16a+8+12c-7a+3b-c	$16 a + 8 + 12 c - 7 a + 3 b - c$
15252	Solve for x	(x^2+4x+5)^(3/2)+1=0	${(x^{2} + 4 x + 5)}^{\frac{3}{2}} + 1 = 0$
15253	Find the LCD	(x+2)/x , (x-2)/(x^2)	$\frac{x + 2}{x}$ , $\frac{x - 2}{x^{2}}$
15254	Simplify	(x^2+13x-20)/(x^2-25)+(x-1)/(x+5)	$\frac{x^{2} + 13 x - 20}{x^{2} - 25} + \frac{x - 1}{x + 5}$
15255	Convert to a Decimal	-10pirad	$- 10 π$ radians
15256	Evaluate	(3y^2+y^3-5)+(4y^2-4y+2y^3+8)	$(3 y^{2} + y^{3} - 5) + (4 y^{2} - 4 y + 2 y^{3} + 8)$
15257	Rationalize the Denominator	5/(-6+ square root of 6)	$\frac{5}{- 6 + \sqrt{6}}$
15258	Solve for x	square root of 2x-1-x+2=0	$\sqrt{2 x - 1 - x + 2} = 0$
15259	Subtract	[[0,0],[0,0]]-[[x,y],[z,w]]	$[\begin{array}{c} 0 & 0 \\ 0 & 0 \end{array}] - [\begin{array}{c} x & y \\ z & w \end{array}]$
15260	Evaluate the Integral	integral of (2 sixth root of x^4-18) with respect to x	$\int (2 \sqrt[6]{x^{4}} - 18) d x$
15261	Simplify	(8-5i)*2	$(8 - 5 i) \cdot 2$
15262	Find the x and y Intercepts	(-2x^2+32)/(3x-12)	$\frac{- 2 x^{2} + 32}{3 x - 12}$
15263	Factor	f(x)=x^4-2x^3+x^2	$f (x) = x^{4} - 2 x^{3} + x^{2}$
15264	Solve for x	15=9+ square root of x	$15 = 9 + \sqrt{x}$
15265	Solve the Function Operation	7 : x=2 : 3	$7$ : $x = 2$ : $3$
15266	Find the Roots (Zeros)	1-(x-3)/2=(2-x)/3+4	$1 - \frac{x - 3}{2} = \frac{2 - x}{3} + 4$
15267	Find the Degree, Leading Term, and Leading Coefficient	f(x)=-x^5-9x^2-10x^3-4x^4-10	$f (x) = - x^{5} - 9 x^{2} - 10 x^{3} - 4 x^{4} - 10$
15268	Solve for x	square root of x+2=2x-6	$\sqrt{x + 2} = 2 x - 6$
15269	Multiply	(4/9y^2-1/4)^2	${(\frac{4}{9} y^{2} - \frac{1}{4})}^{2}$
15270	Solve for x	-7(x-2)+1<x	$- 7 (x - 2) + 1 < x$
15271	Simplify the Radical Expression	fourth root of 81x	$\sqrt[4]{81 x}$
15272	Simplify	((6x)^2)/((4x^2)^3)	$\frac{{(6 x)}^{2}}{{(4 x^{2})}^{3}}$
15273	Solve for C	C=1-5/2D	$C = 1 - \frac{5}{2} D$
15274	Find dy/dx	-y^3=4+x^2	$- y^{3} = 4 + x^{2}$
15275	Evaluate the Function	f(x)=4x^2+2x-1 at x=0	$f (x) = 4 x^{2} + 2 x - 1$ at $x = 0$
15276	Solve by Factoring	x^2+x+53=4-13x	$x^{2} + x + 53 = 4 - 13 x$
15277	Find the Exact Value	4(-2)^2+8(-2)+3(-2)+6	$4 {(- 2)}^{2} + 8 (- 2) + 3 (- 2) + 6$
15278	Simplify	((6-x)/(64-x^2)*(x^3+12x^2+32x)/(6x^3-12x^2-144x))÷((x^2-15x+54)/(x^2-15x+54))	$\frac{6 - x}{64 - x^{2}} \cdot \frac{x^{3} + 12 x^{2} + 32 x}{6 x^{3} - 12 x^{2} - 144 x} \div \frac{x^{2} - 15 x + 54}{x^{2} - 15 x + 54}$
15279	Solve for x	(6^(1/4))/(36^(-x/2))=1	$\frac{6^{\frac{1}{4}}}{36^{- \frac{x}{2}}} = 1$
15280	Graph	y=1/2(x+2)-4	$y = \frac{1}{2} (x + 2) - 4$
15281	Simplify	(5^-8)^-6	${(5^{- 8})}^{- 6}$
15282	Find the Cosecant Given the Point	((3 square root of 10)/10,-( square root of 10)/10)	$(\frac{3 \sqrt{10}}{10}, - \frac{\sqrt{10}}{10})$
15283	Graph	The graph of y=f(x) is shown below. What are all of the real solutions of f(x)=0 ?	The graph of $y = f (x)$ is shown below. What are all of the real solutions of $f (x) = 0$ ?
15284	Solve for x	8(x-2)-5(x+4)=20+x	$8 (x - 2) - 5 (x + 4) = 20 + x$
15285	Find the Quotient	(-6x^2y^8+12xy^3-36xy^2)/(6xy^2)	$\frac{- 6 x^{2} y^{8} + 12 x y^{3} - 36 x y^{2}}{6 x y^{2}}$
15286	Solve the Function Operation	f(x)=x^2+7x-1 g(x)=-3x-7 Find: (fog)(x)	$f (x) = x^{2} + 7 x - 1$ $g (x) = - 3 x - 7$ Find: $((f \circ g)) (x)$
15287	Simplify	- square root of -16/25	$- \sqrt{- \frac{16}{25}}$
15288	Write in Standard Form	(-6x^2-x)-(-4x^2+10x-1)	$(- 6 x^{2} - x) - (- 4 x^{2} + 10 x - 1)$
15289	Find the Product	x(x^2-x+3)	$x (x^{2} - x + 3)$
15290	Multiply	(x+2)/(x^2+14x+49)*(x^2+6x-7)/(x^2+x-2)	$\frac{x + 2}{x^{2} + 14 x + 49} \cdot \frac{x^{2} + 6 x - 7}{x^{2} + x - 2}$
15291	Find the Derivative Using Chain Rule - d/dx	integral from -2 to 2 of 2x square root of x^2+4dx with respect to x dx	$\int_{- 2}^{2} 2 x \sqrt{x^{2} + 4 d x} d x$ $d x$
15292	Solve for t	24<=-6t	$24 \leq - 6 t$
15293	Find the Derivative - d/dx	3x^3-4/(x^2)	$3 x^{3} - \frac{4}{x^{2}}$
15294	Evaluate the Limit	limit as x approaches infinity of x^(1/(x^2))	$lim_{x \to \infty} x^{\frac{1}{x^{2}}}$
15295	Simplify the Radical Expression	( fourth root of 32)/( cube root of 2)	$\frac{\sqrt[4]{32}}{\sqrt[3]{2}}$
15296	Find dy/dx	-xy+3-y=2x^3	$- x y + 3 - y = 2 x^{3}$
15297	Graph	3x+2y<=12 3x+2y>=6	$3 x + 2 y \leq 12$ $3 x + 2 y \geq 6$
15298	Factor	7(3x+2)^2(x-1)^2+(3x+2)(x-1)^3	$7 {(3 x + 2)}^{2} {(x - 1)}^{2} + (3 x + 2) {(x - 1)}^{3}$
15299	Solve the Inequality for x	4>=x+3/4	$4 \geq x + \frac{3}{4}$
15300	Evaluate	square root of x+2+6=5	$\sqrt{x + 2} + 6 = 5$