Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
5101	Solve the Inequality for h	h<=(6h+3)/5	$h \leq \frac{6 h + 3}{5}$
5102	Simplify	(tan(a)+cot(a))^2-(tan(a)-cot(a))^2	${(\tan (a) + \cot (a))}^{2} - {(\tan (a) - \cot (a))}^{2}$
5103	Solve for h	square root of 2h+7=5	$\sqrt{2 h + 7} = 5$
5104	Simplify	(-24-36x)/-16	$\frac{- 24 - 36 x}{- 16}$
5105	Solve the System of Equations	3x-y=7 y+4=2(x+5)^2	$3 x - y = 7$ $y + 4 = 2 {(x + 5)}^{2}$
5106	Solve the System of Equations	2y=x+6 3x=y+7	$2 y = x + 6$ $3 x = y + 7$
5107	Solve for x	2x = square root of 17x-15	$2 x = \sqrt{17 x - 15}$
5108	Simplify	3 square root of xy- square root of 9xy	$3 \sqrt{x y} - \sqrt{9 x y}$
5109	Solve the Inequality for x	\|3/2x-2\|+1<=2	$\| \frac{3}{2} x - 2 \| + 1 \leq 2$
5110	Find Trig Functions Using Identities	cos(theta)=0 , csc(theta)=1	$\cos (θ) = 0$ , $\csc (θ) = 1$
5111	Evaluate	square root of 3x+4=4	$\sqrt{3 x + 4} = 4$
5112	Simplify	(3 cube root of 12)÷2 cube root of 3	$3 \sqrt[3]{12} \div 2 \sqrt[3]{3}$
5113	Find the Slope	(1,-4) and (-4,-6)	$(1, - 4)$ and $(- 4, - 6)$
5114	Solve for x	2/5-7/2x+1/2(x+1/3)=-5/2+x	$\frac{2}{5} - \frac{7}{2} x + \frac{1}{2} (x + \frac{1}{3}) = - \frac{5}{2} + x$
5115	Simplify	(2xy^0)/(6x)	$\frac{2 x y^{0}}{6 x}$
5116	Solve the Inequality for x	9x+11>4x-(17-9x)	$9 x + 11 > 4 x - (17 - 9 x)$
5117	Solve for x	-3=-5+ fifth root of 10-x	$- 3 = - 5 + \sqrt[5]{10 - x}$
5118	Find the Degree, Leading Term, and Leading Coefficient	-1+6x+x^2+4x^4	$- 1 + 6 x + x^{2} + 4 x^{4}$
5119	Factor	x^4-9x^2+6x^3-54x-7x^2+63	$x^{4} - 9 x^{2} + 6 x^{3} - 54 x - 7 x^{2} + 63$
5120	Simplify	(24x^3)/(50x)*30/(8x^2)	$\frac{24 x^{3}}{50 x} \cdot \frac{30}{8 x^{2}}$
5121	Simplify	8(1/5x+3)+2/5x+1	$8 (\frac{1}{5} x + 3) + \frac{2}{5} x + 1$
5122	Find the Domain	(x^3-y^3)/(x^2-y^2)	$\frac{x^{3} - y^{3}}{x^{2} - y^{2}}$
5123	Solve for x	81^(6x-56)=(1/9)^(2x^2-10x)	$81^{6 x - 56} = {(\frac{1}{9})}^{2 x^{2} - 10 x}$
5124	Find the Degree, Leading Term, and Leading Coefficient	f(x)=-x^3-11x^2-28x	$f (x) = - x^{3} - 11 x^{2} - 28 x$
5125	Solve for b	(b-8)/5=(b+3)/4	$\frac{b - 8}{5} = \frac{b + 3}{4}$
5126	Solve for x	( fifth root of 7)^x=7^(2x+3)	${(\sqrt[5]{7})}^{x} = 7^{2 x + 3}$
5127	Solve for n	2n=0.6+2.3n	$2 n = 0.6 + 2.3 n$
5128	Simplify	Subtract 3x^2+8x from -9x^2+3x-8	Subtract $3 x^{2} + 8 x$ from $- 9 x^{2} + 3 x - 8$
5129	Solve Using the Quadratic Formula	x^2*4x+4=0	$x^{2} \cdot 4 x + 4 = 0$
5130	Evaluate	(-5+14)/-15	$\frac{- 5 + 14}{- 15}$
5131	Solve the Inequality for t	-3t+9>=-21	$- 3 t + 9 \geq - 21$
5132	Simplify	( fourth root of 16x^16y^24)/( fourth root of x^2y^4)	$\frac{\sqrt[4]{16 x^{16} y^{24}}}{\sqrt[4]{x^{2} y^{4}}}$
5133	Find the Domain	((x-y)^2)/(x+y)*(3x+3y)/(x^2-y^2)	$\frac{{(x - y)}^{2}}{x + y} \cdot \frac{3 x + 3 y}{x^{2} - y^{2}}$
5134	Simplify	((3x^2+13x+4)/(x^2-4))÷((4x+16)/(x+2))	$\frac{3 x^{2} + 13 x + 4}{x^{2} - 4} \div \frac{4 x + 16}{x + 2}$
5135	Add	4 5 7 8 2 5 9 7 8	$4$ $5$ $7$ $8$ $2$ $5$ $9$ $7$ $8$
5136	Convert to Radical Form	1/((7x)^(-1/3))	$\frac{1}{{(7 x)}^{- \frac{1}{3}}}$
5137	Simplify the Radical Expression	sixth root of (x^6)/(y^12)	$\sqrt[6]{\frac{x^{6}}{y^{12}}}$
5138	Simplify	(xy^6)/(y^4x)	$\frac{x y^{6}}{y^{4} x}$
5139	Convert from Radians to Degrees	(4pi)/3rad	$\frac{4 π}{3}$ radians
5140	Solve for x	-0.2(x-3)-x-0.9=0.4x+0.5	$- 0.2 (x - 3) - x - 0.9 = 0.4 x + 0.5$
5141	Factor	12au-16yv^2+8av^2-24yu	$12 a u - 16 y v^{2} + 8 a v^{2} - 24 y u$
5142	Find the Antiderivative	1/(x^3-x)	$\frac{1}{x^{3} - x}$
5143	Determine if Linearly Dependent	B={[[-1],[4],[7]],[[6],[-5],[8]],[[1],[5],[9]]}	$B = {[\begin{array}{c} - 1 \\ 4 \\ 7 \end{array}], [\begin{array}{c} 6 \\ - 5 \\ 8 \end{array}], [\begin{array}{c} 1 \\ 5 \\ 9 \end{array}]}$
5144	Solve the Absolute Value Inequality for x	\|4x-4(x+1)\|=4	$\| 4 x - 4 (x + 1) \| = 4$
5145	Find the Antiderivative	(sin(x))/(cos(x))	$\frac{\sin (x)}{\cos (x)}$
5146	Simplify	(2^3c^4t^2)/(2^2c^4t^2)	$\frac{2^{3} c^{4} t^{2}}{2^{2} c^{4} t^{2}}$
5147	Evaluate the Function	F(x)=x^4-7x^2+2x-6 at x=1	$F (x) = x^{4} - 7 x^{2} + 2 x - 6$ at $x = 1$
5148	Simplify	(4z)^-3*(2z)^5	${(4 z)}^{- 3} \cdot {(2 z)}^{5}$
5149	Evaluate	(2^0+3^-2)/(3^-1)	$\frac{2^{0} + 3^{- 2}}{3^{- 1}}$
5150	Solve for y	(y+5)/2-(y-2)/4=(y+7)/3+1	$\frac{y + 5}{2} - \frac{y - 2}{4} = \frac{y + 7}{3} + 1$
5151	Integrate Using u-Substitution	integral of 18t^2(t^3+1)^5 with respect to t	$\int 18 t^{2} {(t^{3} + 1)}^{5} d t$
5152	Graph	y>=3x-5 3x-y>-4	$y \geq 3 x - 5$ $3 x - y > - 4$
5153	Simplify	(4 square root of 6)/(4 square root of 27)	$\frac{4 \sqrt{6}}{4 \sqrt{27}}$
5154	Evaluate	plus or minus square root of 1/64	$\pm \sqrt{\frac{1}{64}}$
5155	Find the Derivative - d/dx	1/( square root of g(2x))	$\frac{1}{\sqrt{g (2 x)}}$
5156	Rationalize the Denominator	cube root of 27/8	$\sqrt[3]{\frac{27}{8}}$
5157	Simplify	((52^5)/(4^5))^(1/6)	${(\frac{52^{5}}{4^{5}})}^{\frac{1}{6}}$
5158	Solve for x	(3-6x)/3=7x-1	$\frac{3 - 6 x}{3} = 7 x - 1$
5159	Simplify	12+(-4)-2/5j-4/5j+5	$12 + (- 4) - \frac{2}{5} j - \frac{4}{5} j + 5$
5160	Solve for z	7.225/z=85	$\frac{7.225}{z} = 85$
5161	Graph	y=5/2x-1 y=7/2x-3	$y = \frac{5}{2} x - 1$ $y = \frac{7}{2} x - 3$
5162	Solve for t	S(t)=2t^(3/2)-9t+6	$S (t) = 2 t^{\frac{3}{2}} - 9 t + 6$
5163	Write in Slope-Intercept Form	5x+6y<=0	$5 x + 6 y \leq 0$
5164	Solve the Rational Equation for x	square root of 6x-2+1=-3	$\sqrt{6 x - 2} + 1 = - 3$
5165	Simplify	5/(-5-3 square root of 3)	$\frac{5}{- 5 - 3 \sqrt{3}}$
5166	Solve for x	x-x^2+20=0	$x - x^{2} + 20 = 0$
5167	Find the Antiderivative	-3x^-4+10x^(2/3)-7x	$- 3 x^{- 4} + 10 x^{\frac{2}{3}} - 7 x$
5168	Add	-3 square root of 12+3 square root of 3+3 square root of 20	$- 3 \sqrt{12} + 3 \sqrt{3} + 3 \sqrt{20}$
5169	Solve for r	9/4=(r-10)/r	$\frac{9}{4} = \frac{r - 10}{r}$
5170	Evaluate	log base 2 of 2^4- log base 2 of 2^10	$\log_{2} (2^{4}) - \log_{2} (2^{10})$
5171	Solve the Inequality for x	3.4>x+2/3	$3.4 > x + \frac{2}{3}$
5172	Simplify	((y-3)/(4(y-7)))÷((y-3)/20)	$\frac{y - 3}{4 (y - 7)} \div \frac{y - 3}{20}$
5173	Solve for x	square root of 5x+16-x=2	$\sqrt{5 x + 16 - x} = 2$
5174	Graph	y=2-3cos(pi/3(x-1))	$y = 2 - 3 \cos (\frac{π}{3} (x - 1))$
5175	Simplify the Radical Expression	square root of -8* square root of 24	$\sqrt{- 8} \cdot \sqrt{24}$
5176	Simplify	square root of x(5 square root of x-2 square root of x)	$\sqrt{x} (5 \sqrt{x} - 2 \sqrt{x})$
5177	Solve for x	1/3(12x-12)=10+2x	$\frac{1}{3} (12 x - 12) = 10 + 2 x$
5178	Simplify	(2^-1m^2n)^-3*((m^0n^-4)/(4m^-1n))	${(2^{- 1} m^{2} n)}^{- 3} \cdot (\frac{m^{0} n^{- 4}}{4 m^{- 1} n})$
5179	Find the Degree, Leading Term, and Leading Coefficient	f(x)=-10+4x-x^4+7x^3	$f (x) = - 10 + 4 x - x^{4} + 7 x^{3}$
5180	Solve for w	(w)(3w+5)=0	$(w) (3 w + 5) = 0$
5181	Solve for p₂	p_1v_1=p_2v_2	$p_{1} v_{1} = p_{2} v_{2}$
5182	Find the Vertex	x+3y^2+12y=18	$x + 3 y^{2} + 12 y = 18$
5183	Simplify	eighth root of 1/(w^3*w^-1)	$\sqrt[8]{\frac{1}{w^{3} \cdot w^{- 1}}}$
5184	Solve for x	(1+x)(1-x+x^2-x^3+x^4)=1+a^5	$(1 + x) (1 - x + x^{2} - x^{3} + x^{4}) = 1 + a^{5}$
5185	Simplify	((25x^4)1/2)/(15x^2)	$\frac{(25 x^{4}) \frac{1}{2}}{15 x^{2}}$
5186	Graph	5x-6y<2y-x+8	$5 x - 6 y < 2 y - x + 8$
5187	Solve for x	1-cos(x)^2+cos(x)+1=0	$1 - \cos^{2} (x) + \cos (x) + 1 = 0$
5188	Add	(4x^2+3x+9)+(2x^2-5x-9)	$(4 x^{2} + 3 x + 9) + (2 x^{2} - 5 x - 9)$
5189	Simplify	square root of (x^2+6)^16	$\sqrt{{(x^{2} + 6)}^{16}}$
5190	Find the Maximum/Minimum Value	x^4(x-2)(x+3)	$x^{4} (x - 2) (x + 3)$
5191	Find the Degree, Leading Term, and Leading Coefficient	-1/9x^2-x^5-7x+3x^4+1	$- \frac{1}{9} x^{2} - x^{5} - 7 x + 3 x^{4} + 1$
5192	Verify the Identity	2sin(t)cos(t)+1=((sec(t)+csc(t))/(sec(t)csc(t)))^2	$2 \sin (t) \cos (t) + 1 = {(\frac{\sec (t) + \csc (t)}{\sec (t) \csc (t)})}^{2}$
5193	Solve for w	1.5(w+3)=0.6w	$1.5 (w + 3) = 0.6 w$
5194	Convert to Rectangular	(4+4 square root of 3i)^6	${(4 + 4 \sqrt{3} i)}^{6}$
5195	Simplify	(x^2-xy-x+y)/(x^2+xy-x-y)	$\frac{x^{2} - x y - x + y}{x^{2} + x y - x - y}$
5196	Find the End Behavior	f(x)=-544x^2-448-832x-128x^3+4x^5+4x^4	$f (x) = - 544 x^{2} - 448 - 832 x - 128 x^{3} + 4 x^{5} + 4 x^{4}$
5197	Factor	y=2x^2+x-3	$y = 2 x^{2} + x - 3$
5198	Find the Degree, Leading Term, and Leading Coefficient	1-7x^2-1/7x^4	$1 - 7 x^{2} - \frac{1}{7} x^{4}$
5199	Solve for y	Mg((3L)/2-y)=mgy	$M g (\frac{3 L}{2} - y) = mg y$
5200	Simplify	((x^4)/(x^3))^(5/2)	${(\frac{x^{4}}{x^{3}})}^{\frac{5}{2}}$