Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
8501	Evaluate the Integral	integral of (1/3y)^(1/2) with respect to y	$\int {(\frac{1}{3} y)}^{\frac{1}{2}} d y$
8502	Evaluate the Limit	limit as x approaches infinity of ((x^3+4)^2-x^6)/(x^3)	$lim_{x \to \infty} \frac{{(x^{3} + 4)}^{2} - x^{6}}{x^{3}}$
8503	Solve the Inequality for x	2x^3-5x^2+2x<0	$2 x^{3} - 5 x^{2} + 2 x < 0$
8504	Simplify	a(8+2b-6)	$a (8 + 2 b - 6)$
8505	Factor	x^3+2x^2+5x+10=0	$x^{3} + 2 x^{2} + 5 x + 10 = 0$
8506	Simplify	(3y^6)^2(x^5y^2z)	${(3 y^{6})}^{2} (x^{5} y^{2} z)$
8507	Simplify	(-5x-2/3)+(-4x-1/9)	$(- 5 x - \frac{2}{3}) + (- 4 x - \frac{1}{9})$
8508	Solve for a	a/2+1/5=21/10	$\frac{a}{2} + \frac{1}{5} = \frac{21}{10}$
8509	Convert to a Percentage	14 is what percent of 56 ?	$14$ is what percent of $56$ ?
8510	Find the Antiderivative	f(x)=e^x+x	$f (x) = e^{x} + x$
8511	Simplify	i square root of 8/5i square root of 5i square root of 9/2	$i \sqrt{\frac{8}{5}} \cdot i \sqrt{5} \cdot i \sqrt{\frac{9}{2}}$
8512	Simplify	2x^3 cube root of 125x^9y^7	$2 x^{3} \sqrt[3]{125 x^{9} y^{7}}$
8513	Find dy/dx	-xy+x^3+5=-y^2	$- x y + x^{3} + 5 = - y^{2}$
8514	Simplify the Radical Expression	(d^(1/8))^5	${(d^{\frac{1}{8}})}^{5}$
8515	Evaluate	(3-2x+2x^2)-(4x-5+3x^2)	$(3 - 2 x + 2 x^{2}) - (4 x - 5 + 3 x^{2})$
8516	Solve the Inequality for m	3<=m+1.4	$3 \leq m + 1.4$
8517	Simplify	(-6x+5)-(x^2-2x-6)	$(- 6 x + 5) - (x^{2} - 2 x - 6)$
8518	Simplify	(14x^2)^-4(3x)^4(13x^6)^2	${(14 x^{2})}^{- 4} {(3 x)}^{4} {(13 x^{6})}^{2}$
8519	Subtract	(-4x+3)-(7x-3x^2-1)	$(- 4 x + 3) - (7 x - 3 x^{2} - 1)$
8520	Evaluate the Limit	limit as x approaches infinity of square root of (x+2020)*(x+2021)-x	$lim_{x \to \infty} \sqrt{(x + 2020) \cdot (x + 2021)} - x$
8521	Solve for x	3x-4=2x+8-5x	$3 x - 4 = 2 x + 8 - 5 x$
8522	Simplify	i^4*i^6	$i^{4} \cdot i^{6}$
8523	Convert to a Decimal	2pirad	$2 π$ radians
8524	Find the Degree, Leading Term, and Leading Coefficient	f(x)=x^3+2x^2	$f (x) = x^{3} + 2 x^{2}$
8525	Graph	p(x)=2-1/(2x-4)	$p (x) = 2 - \frac{1}{2 x - 4}$
8526	Simplify	(2 cube root of 2)(6 cube root of 4)	$(2 \sqrt[3]{2}) (6 \sqrt[3]{4})$
8527	Find the Quotient	(18x^6y^4+24x^5y^3-30x^3y^2)÷(6x^3y^2)	$(18 x^{6} y^{4} + 24 x^{5} y^{3} - 30 x^{3} y^{2}) \div (6 x^{3} y^{2})$
8528	Solve for z	z^2+6z=1	$z^{2} + 6 z = 1$
8529	Simplify	((2a^3b^5)/3)^2	${(\frac{2 a^{3} b^{5}}{3})}^{2}$
8530	Simplify the Radical Expression	2 square root of 5+5 square root of 2-4 square root of 5	$2 \sqrt{5} + 5 \sqrt{2} - 4 \sqrt{5}$
8531	Solve by Factoring	2c^4-6c^3=12c^2-36c	$2 c^{4} - 6 c^{3} = 12 c^{2} - 36 c$
8532	Determine if a Polynomial	6a^2-3b^-3-6b^3	$6 a^{2} - 3 b^{- 3} - 6 b^{3}$
8533	Solve for x	\|x-1\|+3=0	$\| x - 1 \| + 3 = 0$
8534	Simplify	-6/(-7- square root of 11)	$\frac{- 6}{- 7 - \sqrt{11}}$
8535	Simplify	(8/7)÷(7/(3p))	$\frac{8}{7} \div \frac{7}{3 p}$
8536	Factor	224m^3+32m^2-56m-8	$224 m^{3} + 32 m^{2} - 56 m - 8$
8537	Find the Slope	(2,1) and (3,-10)	$(2, 1)$ and $(3, - 10)$
8538	Simplify the Radical Expression	5 square root of 50x^3y^3z^3	$5 \sqrt{50 x^{3} y^{3} z^{3}}$
8539	Find the Exact Value	csc(495 degrees )	$\csc (495 °)$
8540	Solve the Inequality for z	5>z-3	$5 > z - 3$
8541	Simplify the Radical Expression	cube root of 216/1000	$\sqrt[3]{\frac{216}{1000}}$
8542	Solve by Addition/Elimination	3y=26-5x 6x+7y=21	$3 y = 26 - 5 x$ $6 x + 7 y = 21$
8543	Solve for q	q^2=2q+4	$q^{2} = 2 q + 4$
8544	Simplify	(-5+7i)-(-6+i)-(-6+5i)	$(- 5 + 7 i) - (- 6 + i) - (- 6 + 5 i)$
8545	Find the Inflection Points	f(x)=3/10x^5-13x^3	$f (x) = \frac{3}{10} x^{5} - 13 x^{3}$
8546	Graph	y=sin(3x+2pi)-2	$y = \sin (3 x + 2 π) - 2$
8547	Solve for x	(1/36)^(12x+9)=6^(-3x^2+9)	${(\frac{1}{36})}^{12 x + 9} = 6^{- 3 x^{2} + 9}$
8548	Rationalize the Denominator	-6/(8+ square root of 2)	$\frac{- 6}{8 + \sqrt{2}}$
8549	Find the Degree, Leading Term, and Leading Coefficient	3x^4+6x-1/2x^3-1	$3 x^{4} + 6 x - \frac{1}{2} x^{3} - 1$
8550	Solve the System of Equations	y=1/2x+6 x+6y=12	$y = \frac{1}{2} x + 6$ $x + 6 y = 12$
8551	Solve the System of Inequalities	x<4 and x>-1	$x < 4$ and $x > - 1$
8552	Solve the Function Operation	f(x)=-2x+4 g(x)=2x^2-5x-11 Find: (gof)(x)	$f (x) = - 2 x + 4$ $g (x) = 2 x^{2} - 5 x - 11$ Find: $((g \circ f)) (x)$
8553	Solve for x	3+(4-x)^(2/3)=12	$3 + {(4 - x)}^{\frac{2}{3}} = 12$
8554	Solve for y	(2y+6)^(1/4)-2=0	${(2 y + 6)}^{\frac{1}{4}} - 2 = 0$
8555	Factor	ay-a^4y^4	$a y - a^{4} y^{4}$
8556	Find the Roots (Zeros)	8x^3+12x^2+6x+1=0	$8 x^{3} + 12 x^{2} + 6 x + 1 = 0$
8557	Add	(12x-1+2x^2)+(x^2+4)	$(12 x - 1 + 2 x^{2}) + (x^{2} + 4)$
8558	Find the Inverse	f(x)=((x+2)^3-8)/5	$f (x) = \frac{{(x + 2)}^{3} - 8}{5}$
8559	Simplify the Radical Expression	square root of 2( square root of 6+ square root of 10)	$\sqrt{2} (\sqrt{6} + \sqrt{10})$
8560	Find the Holes in the Graph	(x^2+7x+10)/(2x^2-x-10)	$\frac{x^{2} + 7 x + 10}{2 x^{2} - x - 10}$
8561	Simplify	((60x^10y^7)/(5x^4y^3))^2	${(\frac{60 x^{10} y^{7}}{5 x^{4} y^{3}})}^{2}$
8562	Solve for x	x square root of 2 = square root of 14	$x \sqrt{2} = \sqrt{14}$
8563	Factor	27yx^6+y^7	$27 y x^{6} + y^{7}$
8564	Simplify	(2a^3b^2)^0(3a^2)^2	${(2 a^{3} b^{2})}^{0} {(3 a^{2})}^{2}$
8565	Find the Roots (Zeros)	y=x^4+3x^3+x^2-12x-20	$y = x^{4} + 3 x^{3} + x^{2} - 12 x - 20$
8566	Solve for x	(1/81)^(-3x-9)=9^(-3x^2-15x)	${(\frac{1}{81})}^{- 3 x - 9} = 9^{- 3 x^{2} - 15 x}$
8567	Simplify the Radical Expression	( square root of 3)^2	${(\sqrt{3})}^{2}$
8568	Evaluate	log base 5 of 5(5)^(1/3)	$\log_{5} (5 {(5)}^{\frac{1}{3}})$
8569	Simplify the Radical Expression	- square root of 5+6 square root of 5	$- \sqrt{5} + 6 \sqrt{5}$
8570	Evaluate the Limit	limit as x approaches 3 of (5x^2-45)/( square root of 5x+1-4)	$lim_{x \to 3} \frac{5 x^{2} - 45}{\sqrt{5 x + 1} - 4}$
8571	Divide	22 , 64÷394	$22$ , $64 \div 394$
8572	Solve the Function Operation	Given that f(x)=x^2-2x-63 and g(x)=x+7 ; find (f-g)(x) and express the result in standard form.	Given that $f (x) = x^{2} - 2 x - 63$ and $g (x) = x + 7$ ; find $(f - g) (x)$ and express the result in standard form.
8573	Solve for a	cube root of a+2=4	$\sqrt[3]{a + 2} = 4$
8574	Simplify the Radical Expression	square root of (-4)^2	$\sqrt{{(- 4)}^{2}}$
8575	Subtract	2 2/4-1 3/4	$2 \frac{2}{4} - 1 \frac{3}{4}$
8576	Simplify	(18m^2n-4mn^2)/(-2mn)	$\frac{18 m^{2} n - 4 m n^{2}}{- 2 m n}$
8577	Solve the Inequality for x	1/(16^(3x-4))<=64^(x-1)	$\frac{1}{16^{3 x - 4}} \leq 64^{x - 1}$
8578	Solve for x	square root of 2* cube root of 3 = sixth root of x	$\sqrt{2} \cdot \sqrt[3]{3} = \sqrt[6]{x}$
8579	Write the Fraction in Simplest Form	(x^4y^7)^(2/3)	${(x^{4} y^{7})}^{\frac{2}{3}}$
8580	Simplify	(x^(5/6))(x^(1/3))	$(x^{\frac{5}{6}}) (x^{\frac{1}{3}})$
8581	Determine if a Polynomial	9y^4-8x^2+3x^5	$9 y^{4} - 8 x^{2} + 3 x^{5}$
8582	Find the Derivative - d/dX	XY^4	$X Y^{4}$
8583	Graph	F(x)=-tan(x)	$F (x) = - \tan (x)$
8584	Evaluate	limit as x approaches 0 of (sin(x))/x	$lim_{x \to 0} \frac{\sin (x)}{x}$
8585	Simplify the Radical Expression	5 square root of 7*2 square root of 7	$5 \sqrt{7} \cdot 2 \sqrt{7}$
8586	Simplify	-4/5(30x-40)+(42x+4)	$- \frac{4}{5} (30 x - 40) + (42 x + 4)$
8587	Find the x and y Intercepts	y=x^2(x+3)(x+1)(x-1)(x-3)	$y = x^{2} (x + 3) (x + 1) (x - 1) (x - 3)$
8588	Find the Domain	log base x of 5-x	$\log_{x} (5 - x)$
8589	Simplify	square root of -12/6	$\sqrt{\frac{- 12}{6}}$
8590	Find the Integral	1/((1+x)^2)	$\frac{1}{{(1 + x)}^{2}}$
8591	Add	1/5+1/8+1/8+1/5+1/8	$\frac{1}{5} + \frac{1}{8} + \frac{1}{8} + \frac{1}{5} + \frac{1}{8}$
8592	Find the Cosecant Given the Point	(-1,0)	$(- 1, 0)$
8593	Find the Difference Quotient	F(x)=5/(x^2)	$F (x) = \frac{5}{x^{2}}$
8594	Find the Antiderivative	sin(2x)+3cos(3x)	$\sin (2 x) + 3 \cos (3 x)$
8595	Find the Roots (Zeros)	3x^4+x^2-2=0	$3 x^{4} + x^{2} - 2 = 0$
8596	Simplify the Radical Expression	(2x)1/2	$(2 x) \frac{1}{2}$
8597	Simplify	(3y)/8*12/5	$\frac{3 y}{8} \cdot \frac{12}{5}$
8598	Solve for x	(-4(x+3))/-4+5x=45	$\frac{- 4 (x + 3)}{- 4} + 5 x = 45$
8599	Find the Concavity	f(x)=x^2\|x\|	$f (x) = x^{2} \| x \|$
8600	Solve for x	1/10(x+11)=-2(8-x)	$\frac{1}{10} (x + 11) = - 2 (8 - x)$