Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
4301	Simplify	(x+8)(2/(3x+24))	$(x + 8) (\frac{2}{3 x + 24})$
4302	Simplify the Radical Expression	8 fourth root of 48-5 square root of 90+9 fourth root of 3	$8 \sqrt[4]{48} - 5 \sqrt{90} + 9 \sqrt[4]{3}$
4303	Solve for x	sin(x)=2/pi	$\sin (x) = \frac{2}{π}$
4304	Describe the Transformation	f(x)=1/4 cube root of x+2-5	$f (x) = \frac{1}{4} \sqrt[3]{x + 2} - 5$
4305	Graph	4- square root of 2x+1<1	$4 - \sqrt{2 x + 1} < 1$
4306	Find the Degree, Leading Term, and Leading Coefficient	f(x)=3+2x^2-4x^3	$f (x) = 3 + 2 x^{2} - 4 x^{3}$
4307	Solve for x	-3x(5x^2-6)-5x(-3x^2+4)+16=-14	$- 3 x (5 x^{2} - 6) - 5 x (- 3 x^{2} + 4) + 16 = - 14$
4308	Simplify	( fourth root of 2^8)( fourth root of 2^3)	$(\sqrt[4]{2^{8}}) (\sqrt[4]{2^{3}})$
4309	Describe the Transformation	f(x)=1/3*e^(-x)-9	$f (x) = \frac{1}{3} \cdot e^{- x} - 9$
4310	Simplify	((2r^-1s^2t^0)^-2)/(2rs)	$\frac{{(2 r^{- 1} s^{2} t^{0})}^{- 2}}{2 r s}$
4311	Simplify the Radical Expression	3 cube root of 16-2 cube root of 54	$3 \sqrt[3]{16} - 2 \sqrt[3]{54}$
4312	Simplify the Radical Expression	( square root of 648)/( square root of 9)	$\frac{\sqrt{648}}{\sqrt{9}}$
4313	Simplify	sin(theta)cot(theta)csc(theta)	$\sin (θ) \cdot \cot (θ) \cdot \csc (θ)$
4314	Factor	f(x)=-(x+3)^2+16	$f (x) = - {(x + 3)}^{2} + 16$
4315	Solve for c	9-2(9c+1)=-9c-6c-5	$9 - 2 (9 c + 1) = - 9 c - 6 c - 5$
4316	Simplify	Find the sum of 2x^2-8x-6 and 9x^2-8	Find the sum of $2 x^{2} - 8 x - 6$ and $9 x^{2} - 8$
4317	Solve for x	square root of x+6-2 = square root of x-2	$\sqrt{x + 6} - 2 = \sqrt{x - 2}$
4318	Solve for x	(2x-5)(x+4)=2x^2+5(x+2)	$(2 x - 5) (x + 4) = 2 x^{2} + 5 (x + 2)$
4319	Simplify	((4-6x)/24)÷((2-3x)/8)	$\frac{4 - 6 x}{24} \div \frac{2 - 3 x}{8}$
4320	Simplify	(z/(2z-2))÷(7/6)	$\frac{z}{2 z - 2} \div \frac{7}{6}$
4321	Simplify	(8(-m^0n^2)^3(-n^3)^2)/(m^6n^0(-2m^-2n^4)^3)	$\frac{8 {(- m^{0} n^{2})}^{3} {(- n^{3})}^{2}}{m^{6} n^{0} {(- 2 m^{- 2} n^{4})}^{3}}$
4322	Find the Antiderivative	(x^2-x+1)/(x-1)	$\frac{x^{2} - x + 1}{x - 1}$
4323	Simplify	-3m+3(m+6)	$- 3 m + 3 (m + 6)$
4324	Simplify the Radical Expression	fourth root of (32x^6)/(y^2)	$\sqrt[4]{\frac{32 x^{6}}{y^{2}}}$
4325	Simplify the Radical Expression	fifth root of 15/-32	$\sqrt[5]{\frac{15}{- 32}}$
4326	Simplify	fifth root of 15/-32	$\sqrt[5]{\frac{15}{- 32}}$
4327	Evaluate	m^4*2m^-3	$m^{4} \cdot 2 m^{- 3}$
4328	Simplify	(5x^2+2x-5x^4-5)-(3x^2-10x^4+6x)	$(5 x^{2} + 2 x - 5 x^{4} - 5) - (3 x^{2} - 10 x^{4} + 6 x)$
4329	Graph	x+y<1 x-y<=2	$x + y < 1$ $x - y \leq 2$
4330	Evaluate the Integral	integral of (e^x+e) with respect to x	$\int (e^{x} + e) d x$
4331	Solve by Addition/Elimination	y+z=4 y-z=8	$y + z = 4$ $y - z = 8$
4332	Solve by Substitution	y=6x-11 and -2x-3y=-7	$y = 6 x - 11$ and $- 2 x - 3 y = - 7$
4333	Graph	x<-4 3x+2y<=-2	$x < - 4$ $3 x + 2 y \leq - 2$
4334	Solve for x	x+x/2-4=x/4	$x + \frac{x}{2} - 4 = \frac{x}{4}$
4335	Simplify the Radical Expression	( fourth root of 810)/( fourth root of 2)	$\frac{\sqrt[4]{810}}{\sqrt[4]{2}}$
4336	Factor	2(-8x-3)+18x	$2 (- 8 x - 3) + 18 x$
4337	Solve the Inequality for y	8(6-y)<24.2-7y	$8 (6 - y) < 24.2 - 7 y$
4338	Solve for a	(3x-5)/(4x+3)+(-2x+1)/(7x-2)=(ax^2+bx+c)/((4x+3)(7x-2))	$\frac{3 x - 5}{4 x + 3} + \frac{- 2 x + 1}{7 x - 2} = \frac{a x^{2} + b x + c}{(4 x + 3) (7 x - 2)}$
4339	Simplify	125^(-3/4)*5^(-3/4)	$125^{- \frac{3}{4}} \cdot 5^{- \frac{3}{4}}$
4340	Graph	16x^2+25y^2+400=0	$16 x^{2} + 25 y^{2} + 400 = 0$
4341	Subtract	(-x^2+9xy)-(x^2+6xy-8y^2)	$(- x^{2} + 9 x y) - (x^{2} + 6 x y - 8 y^{2})$
4342	Simplify	(c^2-6d^2)+(c^2-2cd+2d^2)	$(c^{2} - 6 d^{2}) + (c^{2} - 2 c d + 2 d^{2})$
4343	Divide	(10+i)/(8-2i)	$\frac{10 + i}{8 - 2 i}$
4344	Solve for v	v-5/6=-7/8	$v - \frac{5}{6} = - \frac{7}{8}$
4345	Solve the Inequality for x	3x+4>x^2	$3 x + 4 > x^{2}$
4346	Simplify	(a/(a-1)-(1+a)/a)/((a-1)/a-a/(1+a))	$\frac{\frac{a}{a - 1} - \frac{1 + a}{a}}{\frac{a - 1}{a} - \frac{a}{1 + a}}$
4347	Find the Cotangent Given the Point	(1,- square root of 3)	$(1, - \sqrt{3})$
4348	Find the Product	(4ab+3c)(5ab+7c)	$(4 a b + 3 c) (5 a b + 7 c)$
4349	Solve for x	0=4/(9x)	$0 = \frac{4}{9 x}$
4350	Evaluate	( square root of 3)/3+( square root of 3)/3	$\frac{\sqrt{3}}{3} + \frac{\sqrt{3}}{3}$
4351	Write in Standard Form	-2(x+y)+9=1	$- 2 (x + y) + 9 = 1$
4352	Evaluate	1*180/pi	$1 \cdot \frac{180}{π}$
4353	Solve for x	3^(4x)=1/27	$3^{4 x} = \frac{1}{27}$
4354	Graph	y>=- square root of 3x-6-5	$y \geq - \sqrt{3 x - 6} - 5$
4355	Simplify	2* square root of -4	$2 \cdot \sqrt{- 4}$
4356	Simplify	1/2x^2+x+1/2+2x+1/2x^2	$\frac{1}{2} x^{2} + x + \frac{1}{2} + 2 x + \frac{1}{2} x^{2}$
4357	Solve the System of Inequalities	x>-2 and y<-1	$x > - 2$ and $y < - 1$
4358	Simplify	5 square root of x^8y^3*5 square root of 2x^5y^4	$5 \sqrt{x^{8} y^{3}} \cdot 5 \sqrt{2 x^{5} y^{4}}$
4359	Simplify	y^2 cube root of 16x^11y^10	$y^{2} \sqrt[3]{16 x^{11} y^{10}}$
4360	Simplify	square root of 5( square root of 20- square root of 30)+ square root of 6	$\sqrt{5} (\sqrt{20} - \sqrt{30}) + \sqrt{6}$
4361	Graph	y<=1/3x+2 y>x y<=1	$y \leq \frac{1}{3} x + 2$ $y > x$ $y \leq 1$
4362	Simplify	((2x-9)/(3x))÷(4x-18)	$(\frac{2 x - 9}{3 x}) \div (4 x - 18)$
4363	Simplify	7x^(3/2)*-14x^(1/3)	$7 x^{\frac{3}{2}} \cdot - 14 x^{\frac{1}{3}}$
4364	Simplify the Radical Expression	1/( fourth root of 5)	$\frac{1}{\sqrt[4]{5}}$
4365	Simplify	((2x^3)/5)((3x^2)/4)	$(\frac{2 x^{3}}{5}) (\frac{3 x^{2}}{4})$
4366	Divide	(24k^3+2k^2+24k)÷6	$(24 k^{3} + 2 k^{2} + 24 k) \div 6$
4367	Verify the Identity	square root of sin(x)^2+cos(x)^2=1	$\sqrt{\sin^{2} (x) + \cos^{2} (x)} = 1$
4368	Simplify	((25x^4)^(1/2))/(15x^2)	$\frac{{(25 x^{4})}^{\frac{1}{2}}}{15 x^{2}}$
4369	Solve the System of Equations	x^2+y^2=16 x^2-y^2=20	$x^{2} + y^{2} = 16$ $x^{2} - y^{2} = 20$
4370	Solve by Addition/Elimination	4y=-3-x 7x-4y=43	$4 y = - 3 - x$ $7 x - 4 y = 43$
4371	Simplify	2x*3/(x+4)	$2 x \cdot \frac{3}{x + 4}$
4372	Find the Roots (Zeros)	x+(5x+2)^2=25(1+x^2)	$x + {(5 x + 2)}^{2} = 25 (1 + x^{2})$
4373	Simplify	(-64)(1/3)	$(- 64) (\frac{1}{3})$
4374	Solve for p	6+15p-15=17p+19	$6 + 15 p - 15 = 17 p + 19$
4375	Find the Domain	1/(x^2-xy)-(y^2)/(x^2-y^2)*(x+y)/(y^3)	$\frac{1}{x^{2} - x y} - \frac{y^{2}}{x^{2} - y^{2}} \cdot \frac{x + y}{y^{3}}$
4376	Find the Derivative - d/dx	y=(2x)(x+5)	$y = (2 x) (x + 5)$
4377	Solve for x	x/9+(2x)/2=1/3	$\frac{x}{9} + \frac{2 x}{2} = \frac{1}{3}$
4378	Find the Product	x^2(2x^2+4x-3)	$x^{2} (2 x^{2} + 4 x - 3)$
4379	Integrate Using u-Substitution	integral from 0 to 1 of x square root of 1-x^2 with respect to x	$\int_{0}^{1} x \sqrt{1 - x^{2}} d x$
4380	Find the x and y Intercepts	(x+6)y=9	$(x + 6) y = 9$
4381	Simplify	(x+(y-2))^2	${(x + (y - 2))}^{2}$
4382	Find the Domain and Range	x^2-4x-5=0	$x^{2} - 4 x - 5 = 0$
4383	Graph	yy>=-1/2x+5	$y \cdot y \geq - \frac{1}{2} x + 5$
4384	Evaluate the Summation	sum from k=5 to 5 of (k+1)^2(k-3)	$\sum_{k = 5}^{5} {(k + 1)}^{2} (k - 3)$
4385	Simplify	(-10a^2+6a^3+3a)+(-6a^3-4a+8a^2)	$(- 10 a^{2} + 6 a^{3} + 3 a) + (- 6 a^{3} - 4 a + 8 a^{2})$
4386	Simplify	((1/16)^(-2/3))^(3/4)	${({(\frac{1}{16})}^{- \frac{2}{3}})}^{\frac{3}{4}}$
4387	Solve for x	(3x/2)(3x/4)=3^6	$(3 \frac{x}{2}) (3 \frac{x}{4}) = 3^{6}$
4388	Simplify	(15 square root of 3-5 square root of 18)/(3 square root of 12)	$\frac{15 \sqrt{3} - 5 \sqrt{18}}{3 \sqrt{12}}$
4389	Solve for x	7^(2-x)+7^(-x)=50	$7^{2 - x} + 7^{- x} = 50$
4390	Factor	3mx-nx-3my+ny	$3 m x - n x - 3 m y + n y$
4391	Solve for x	3x(x-1)=(3x-3)(x+5)	$3 x (x - 1) = (3 x - 3) (x + 5)$
4392	Find the End Behavior	p(x)=x(x+3)(x-2)	$p (x) = x (x + 3) (x - 2)$
4393	Solve for x	square root of 4x^2-12x+9<=9	$\sqrt{4 x^{2} - 12 x + 9} \leq 9$
4394	Find the Domain	(4a^2-20a+25)/(25-4a^2)	$\frac{4 a^{2} - 20 a + 25}{25 - 4 a^{2}}$
4395	Simplify	((2m^2)^3(3n^4)^3)/(9m^4n^7)-18m^2n^5	$\frac{{(2 m^{2})}^{3} {(3 n^{4})}^{3}}{9 m^{4} n^{7}} - 18 m^{2} n^{5}$
4396	Simplify	1/2x^3-1/4x^3	$\frac{1}{2} x^{3} - \frac{1}{4} x^{3}$
4397	Subtract	(-3x^3+5x^2+10x+4)-(x^3+7x^2-3x+1)	$(- 3 x^{3} + 5 x^{2} + 10 x + 4) - (x^{3} + 7 x^{2} - 3 x + 1)$
4398	Solve for m	11m=-(-22-9m)	$11 m = - (- 22 - 9 m)$
4399	Find the Second Derivative	y=(3x^2-6x+1)^2	$y = {(3 x^{2} - 6 x + 1)}^{2}$
4400	Simplify	5/(z-1)*(3z-3)/10	$\frac{5}{z - 1} \cdot \frac{3 z - 3}{10}$