Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
12601	Find the Reference Angle	240deg	$240$ degrees
12602	Solve the Inequality for x	y>=-3x+4	$y \geq - 3 x + 4$
12603	Solve for c	4.74-30c=-43-82c-4.26	$4.74 - 30 c = - 43 - 82 c - 4.26$
12604	Find the Domain	(a^2)/(ax-x^2)+x/(x-a)	$\frac{a^{2}}{a x - x^{2}} + \frac{x}{x - a}$
12605	Evaluate	(6^0tu^-5)/(2^5)	$\frac{6^{0} t u^{- 5}}{2^{5}}$
12606	Evaluate the Limit	limit as x approaches -1 of (x^3+3x^2+3x+1)/((x+1)^2)	$lim_{x \to - 1} \frac{x^{3} + 3 x^{2} + 3 x + 1}{{(x + 1)}^{2}}$
12607	Simplify	14x+15y-12y+x	$14 x + 15 y - 12 y + x$
12608	Simplify	((4x^-3y^2)/(6xy^-3))^-2*(y^4)/(x^6y^-5)	${(\frac{4 x^{- 3} y^{2}}{6 x y^{- 3}})}^{- 2} \cdot \frac{y^{4}}{x^{6} y^{- 5}}$
12609	Subtract	2x^2-1-4x^2+2	$2 x^{2} - 1 - 4 x^{2} + 2$
12610	Simplify	(3i-2)^2	${(3 i - 2)}^{2}$
12611	Solve for x	-7/(4x)+(x+2)/x=3/4	$\frac{- 7}{4 x} + \frac{x + 2}{x} = \frac{3}{4}$
12612	Find the Degree, Leading Term, and Leading Coefficient	-1/9x^2-7	$- \frac{1}{9} x^{2} - 7$
12613	Simplify	(x^16y^24z^8)^(1/4)	${(x^{16} y^{24} z^{8})}^{\frac{1}{4}}$
12614	Evaluate the Integral	integral of ( cube root of x)^4 with respect to x	$\int {(\sqrt[3]{x})}^{4} d x$
12615	Simplify	((x^2+13x+42)/(2x^2+28x+96)*(x^2+13x+40)/(-6x^2-30x))÷((-x-7)/-9)	$\frac{x^{2} + 13 x + 42}{2 x^{2} + 28 x + 96} \cdot \frac{x^{2} + 13 x + 40}{- 6 x^{2} - 30 x} \div \frac{- x - 7}{- 9}$
12616	Write in Standard Form	x^4-2x^2+x	$x^{4} - 2 x^{2} + x$
12617	Evaluate the Integral	integral of fifth root of 1+7x with respect to x	$\int \sqrt[5]{1 + 7 x} d x$
12618	Convert to a Decimal	5deg	$5$ degrees
12619	Solve for x	square root of 4-x+9=0	$\sqrt{4 - x} + 9 = 0$
12620	Simplify	(5m^3n-25m^2n^2)/(5m^2n)	$\frac{5 m^{3} n - 25 m^{2} n^{2}}{5 m^{2} n}$
12621	Simplify	cos(x)(1+tan(2)(x))	$\cos (x) (1 + \tan (2) (x))$
12622	Simplify	(2xy^-5)^3	${(2 x y^{- 5})}^{3}$
12623	Simplify	(3/7m^3+1/4n^3)(3/7m^3-1/4n^3)	$(\frac{3}{7} m^{3} + \frac{1}{4} n^{3}) (\frac{3}{7} m^{3} - \frac{1}{4} n^{3})$
12624	Evaluate the Integral	integral of 2+x^3+x^6 with respect to x	$\int 2 + x^{3} + x^{6} d x$
12625	Simplify	((x-1)^(1/2))^2	${({(x - 1)}^{\frac{1}{2}})}^{2}$
12626	Factor	f(x)=x^4-16x^3+64x^2	$f (x) = x^{4} - 16 x^{3} + 64 x^{2}$
12627	Evaluate the Limit	limit as x approaches 0 of (6xe^(-3x+9))/(6x^2+x)	$lim_{x \to 0} \frac{6 x e^{- 3 x + 9}}{6 x^{2} + x}$
12628	Solve the System of Equations	3x+2y-z=3 -x+4y-z=-7 -9x-3y+z=-6	$3 x + 2 y - z = 3$ $- x + 4 y - z = - 7$ $- 9 x - 3 y + z = - 6$
12629	Find the Derivative - d/dx	d/(dx)(4sin(3x))+ integral of 5sin(2x) with respect to x	$\frac{d}{d x} (4 \sin (3 x)) + \int 5 \sin (2 x) d x$
12630	Evaluate	24+6÷3-2(4+1)	$24 + 6 \div 3 - 2 (4 + 1)$
12631	Simplify	-(8x^2y^0)(-2x^5z^-7)^2	$- (8 x^{2} y^{0}) {(- 2 x^{5} z^{- 7})}^{2}$
12632	Find the Antiderivative	(x+1)/(x^2)	$\frac{x + 1}{x^{2}}$
12633	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-4,-3) and has a slope of 3/4 ?	What is the equation of the line that passes through the point $(- 4, - 3)$ and has a slope of $\frac{3}{4}$ ?
12634	Simplify	(2x-3)+(4x(3x+2))	$(2 x - 3) + (4 x (3 x + 2))$
12635	Solve for x	log base 5 of 2x^2-1- log base 5 of x+2=0	$\log_{5} (2 x^{2} - 1) - \log_{5} (x + 2) = 0$
12636	Solve for x	-1/2x+1/3>3/5	$- \frac{1}{2} x + \frac{1}{3} > \frac{3}{5}$
12637	Solve for x	log base x of 1=0	$\log_{x} (1) = 0$
12638	Solve for x	3-2 square root of x+4=15	$3 - 2 \sqrt{x + 4} = 15$
12639	Solve for x	(2x)/(x-3)=6/(x-3)+4	$\frac{2 x}{x - 3} = \frac{6}{x - 3} + 4$
12640	Simplify	(75/3)^(2/3)	${(\frac{75}{3})}^{\frac{2}{3}}$
12641	Simplify	(4r^(2/5)5s^(2/7))(5s^(5/7)4r^(3/5))	$(4 r^{\frac{2}{5}} \cdot 5 s^{\frac{2}{7}}) (5 s^{\frac{5}{7}} \cdot 4 r^{\frac{3}{5}})$
12642	Solve the Inequality for z	-1.2z-8.2>-9.7	$- 1.2 z - 8.2 > - 9.7$
12643	Simplify the Radical Expression	(2a^2)^(1/2)(2a^2)^(1/3)	${(2 a^{2})}^{\frac{1}{2}} {(2 a^{2})}^{\frac{1}{3}}$
12644	Determine if a Polynomial	q^5 square root of 3-p^4-4p^5q^4	$q^{5} \sqrt{3} - p^{4} - 4 p^{5} q^{4}$
12645	Solve Using the Square Root Property	-4/3x^2-15=201	$- \frac{4}{3} x^{2} - 15 = 201$
12646	Factor	10yp-35p-14yx+49x	$10 y p - 35 p - 14 y x + 49 x$
12647	Write the Fraction in Simplest Form	(2^8z^10)/(2^6z^3)	$\frac{2^{8} z^{10}}{2^{6} z^{3}}$
12648	Divide Using Synthetic Division	(x^4-5x+10)÷(x+3)	$(x^{4} - 5 x + 10) \div (x + 3)$
12649	Simplify	( square root of 21)/3*2	$\frac{\sqrt{21}}{3} \cdot 2$
12650	Simplify the Radical Expression	square root of 4* square root of 6	$\sqrt{4} \cdot \sqrt{6}$
12651	Simplify	((y^2-5y+4)/(y^2-1))÷((y^2-9)/(y^2+5y+4))	$\frac{y^{2} - 5 y + 4}{y^{2} - 1} \div \frac{y^{2} - 9}{y^{2} + 5 y + 4}$
12652	Find the Perpendicular Line	y=1 ; passing through (2,10)	$y = 1$ ; passing through $(2, 10)$
12653	Solve for x	6e^(3x)=15x^2	$6 e^{3 x} = 15 x^{2}$
12654	Simplify the Radical Expression	cube root of (y^2)/(y^(4/5))	$\sqrt[3]{\frac{y^{2}}{y^{\frac{4}{5}}}}$
12655	Find the Degree, Leading Term, and Leading Coefficient	(x^4)/5+1	$\frac{x^{4}}{5} + 1$
12656	Solve for x	x(x^2-13)(x^2+25)=0	$x (x^{2} - 13) (x^{2} + 25) = 0$
12657	Evaluate	5/9(80-32)	$\frac{5}{9} (80 - 32)$
12658	Evaluate	(b^2)^a=b^8	${(b^{2})}^{a} = b^{8}$
12659	Simplify	( fourth root of 32x^16)/( cube root of 27y^4)	$\frac{\sqrt[4]{32 x^{16}}}{\sqrt[3]{27 y^{4}}}$
12660	Solve for x	2(4x+1)(x-1)+3=0	$2 (4 x + 1) (x - 1) + 3 = 0$
12661	Find the Exact Value	arcsin(sin((13pi)/4))	$\arcsin (\sin (\frac{13 π}{4}))$
12662	Multiply	(3x-4)(5-2x)(4x+1)	$(3 x - 4) (5 - 2 x) (4 x + 1)$
12663	Solve for x	( square root of 2x+7)/4=3	$\frac{\sqrt{2 x} + 7}{4} = 3$
12664	Verify the Identity	fourth root of (7^2)/m=( fourth root of 7^2)/( fourth root of m)	$\sqrt[4]{\frac{7^{2}}{m}} = \frac{\sqrt[4]{7^{2}}}{\sqrt[4]{m}}$
12665	Solve the Rational Equation for x	cube root of x=2	$\sqrt[3]{x} = 2$
12666	Solve for x	-2 cube root of 2x+5+7=15	$- 2 \sqrt[3]{2 x + 5} + 7 = 15$
12667	Solve for x	-4(x+2)+x=3x-8-5x	$- 4 (x + 2) + x = 3 x - 8 - 5 x$
12668	Solve the System of Inequalities	y<2x+2 y>=-x-1	$y < 2 x + 2$ $y \geq - x - 1$
12669	Simplify	(x^3z^0)/((2y^3z^0)^4)	$\frac{x^{3} z^{0}}{{(2 y^{3} z^{0})}^{4}}$
12670	Evaluate the Integral	integral of ( sixth root of x)^3 with respect to x	$\int {(\sqrt[6]{x})}^{3} d x$
12671	Solve for a	8^a=1	$8^{a} = 1$
12672	Solve for x	3x-2y=18 for x	$3 x - 2 y = 18$ for $x$
12673	Simplify	(5 square root of 2)÷2	$5 \sqrt{2} \div 2$
12674	Find the Sine of the Angle	pi/4	$\frac{π}{4}$
12675	Simplify the Radical Expression	( fourth root of v^6)/( seventh root of v^5)	$\frac{\sqrt[4]{v^{6}}}{\sqrt[7]{v^{5}}}$
12676	Solve for x	x^2*4x+4=0	$x^{2} \cdot 4 x + 4 = 0$
12677	Divide Using Synthetic Division	(-15x^5+10x^4+15x^2-37x+18)÷(3x-2)	$(- 15 x^{5} + 10 x^{4} + 15 x^{2} - 37 x + 18) \div (3 x - 2)$
12678	Solve for x	2xy+6y=0	$2 x y + 6 y = 0$
12679	Simplify	a/(2x+4)-a/(3x+6)	$\frac{a}{2 x + 4} - \frac{a}{3 x + 6}$
12680	Graph Using a Table of Values	f(x)=4*(2/3)^x+1	$f (x) = 4 \cdot {(\frac{2}{3})}^{x} + 1$
12681	Find the Derivative - d/dh	- square root of 5h	$- \sqrt{5 h}$
12682	Solve the System of Equations	y=-5x x+3y=28	$y = - 5 x$ $x + 3 y = 28$
12683	Simplify the Radical Expression	-( cube root of 3)/( cube root of 5)	$- \frac{\sqrt[3]{3}}{\sqrt[3]{5}}$
12684	Solve for c	(3c)/(c^2-4)+1/(c-2)=2/(c+2)	$\frac{3 c}{c^{2} - 4} + \frac{1}{c - 2} = \frac{2}{c + 2}$
12685	Find the Antiderivative	2^(x+1)	$2^{x + 1}$
12686	Evaluate the Integral	integral of x(3x-4)(4x+3) with respect to x	$\int x (3 x - 4) (4 x + 3) d x$
12687	Solve Using the Quadratic Formula	x+2x^2-4=-7x+6	$x + 2 x^{2} - 4 = - 7 x + 6$
12688	Graph	x+2y>4 2x-y<=6	$x + 2 y > 4$ $2 x - y \leq 6$
12689	Solve for x	3(1/4)^(x+1)<192	$3 {(\frac{1}{4})}^{x + 1} < 192$
12690	Evaluate the Limit	limit as x approaches 0 of (6e^(4x)-2e^(3x)-4)/(sin(2x))	$lim_{x \to 0} \frac{6 e^{4 x} - 2 e^{3 x} - 4}{\sin (2 x)}$
12691	Solve the Inequality for x	4x^3+10x^2-24x<0	$4 x^{3} + 10 x^{2} - 24 x < 0$
12692	Multiply	2x2x2x	$2 x \cdot 2 x \cdot 2 x$
12693	Write in Standard Form	5a+3-4a^2+2a^3	$5 a + 3 - 4 a^{2} + 2 a^{3}$
12694	Find the x and y Intercepts	(x+3)y=14	$(x + 3) y = 14$
12695	Simplify	(3a^2-a+2)+(-3a^2+3a-1)-(a^2-1)	$(3 a^{2} - a + 2) + (- 3 a^{2} + 3 a - 1) - (a^{2} - 1)$
12696	Integrate Using u-Substitution	integral of x^2cos(x^3) with respect to x	$\int x^{2} \cos (x^{3}) d x$
12697	Simplify	b^0c^0	$b^{0} c^{0}$
12698	Evaluate the Summation	4 sum from i=0 to 3 of 1+2i^2	$4 \sum_{i = 0}^{3} 1 + 2 i^{2}$
12699	Evaluate	8+(n-4)	$8 + (n - 4)$
12700	Simplify	5+2^3+2(6-2(9-7))	$5 + 2^{3} + 2 (6 - 2 (9 - 7))$