Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
190801	Solve the Rational Equation for x	2/x=9/(x-3)	$\frac{2}{x} = \frac{9}{x - 3}$
190802	Simplify	(((2^-3)(x^-3)(y^2))/((4^-2)(x^4)(y^6)))^2	${(\frac{(2^{- 3}) (x^{- 3}) (y^{2})}{(4^{- 2}) (x^{4}) (y^{6})})}^{2}$
190803	Factor	a(x+1)-b(x+1)+c(x+1)	$a (x + 1) - b (x + 1) + c (x + 1)$
190804	Evaluate	(x-y)(x+y)	$(x - y) (x + y)$
190805	Divide	((x-5)/5)÷((x-2)/3)	$\frac{x - 5}{5} \div \frac{x - 2}{3}$
190806	Solve for θ	cos(theta/2)-1=0	$\cos (\frac{θ}{2}) - 1 = 0$
190807	Evaluate	66/360(pi*4^2)	$\frac{66}{360} (π \cdot 4^{2})$
190808	Graph	y^2=x^2+4	$y^{2} = x^{2} + 4$
190809	Simplify	10/(x^2-10x)-x/(10x-100)	$\frac{10}{x^{2} - 10 x} - \frac{x}{10 x - 100}$
190810	Solve for f	f-(-19)=11f+23-20f	$f - (- 19) = 11 f + 23 - 20 f$
190811	Simplify	(3x-2)/(x+2)+(2x)/(4x-1)	$\frac{3 x - 2}{x + 2} + \frac{2 x}{4 x - 1}$
190812	Factor	-64-12x^2+48x+x^3	$- 64 - 12 x^{2} + 48 x + x^{3}$
190813	Solve for x	(x+m)/m-(x+n)/n=(m^2+n^2)/(mn)-2	$\frac{x + m}{m} - \frac{x + n}{n} = \frac{m^{2} + n^{2}}{m n} - 2$
190814	Solve for x	\|4-x/2\|-3=0	$\| 4 - \frac{x}{2} \| - 3 = 0$
190815	Determine if Parallel	x=4 x=-6	$x = 4$ $x = - 6$
190816	Multiply	(-4y+5x)(-3x+2y)	$(- 4 y + 5 x) (- 3 x + 2 y)$
190817	Find the Degree, Leading Term, and Leading Coefficient	f(x)=5x-2x^2+9x^3+10x^4-2	$f (x) = 5 x - 2 x^{2} + 9 x^{3} + 10 x^{4} - 2$
190818	Graph	(-x-2)(x+5)<0	$(- x - 2) (x + 5) < 0$
190819	Write in Standard Form	3x+5=0	$3 x + 5 = 0$
190820	Solve for y	log base 9 of y=-1/2	$\log_{9} (y) = - \frac{1}{2}$
190821	Simplify	9x^2-10x+1 from -2x^2+4x-10	$9 x^{2} - 10 x + 1$ from $- 2 x^{2} + 4 x - 10$
190822	Evaluate	1/(3!)	$\frac{1}{3!}$
190823	Evaluate	sin(2)(pi/6)	$\sin (2) (\frac{π}{6})$
190824	Solve the Inequality for x	0.2x^2-0.2(x-6)(x+6)>3.6x	$0.2 x^{2} - 0.2 (x - 6) (x + 6) > 3.6 x$
190825	Write in Standard Form	y=2x^2	$y = 2 x^{2}$
190826	Find the Exact Value	sec((1pi)/6)	$\sec (\frac{1 π}{6})$
190827	Solve for θ	tan(theta)^2=-3/2sec(theta)	$\tan^{2} (θ) = - \frac{3}{2} \sec (θ)$
190828	Solve for x	3/(x+5)+(2x+5)/(x-5)=(3x)/(x-5)	$\frac{3}{x + 5} + \frac{2 x + 5}{x - 5} = \frac{3 x}{x - 5}$
190829	Solve the Inequality for x	(1/3)^(-x)>27^(2x+1)	${(\frac{1}{3})}^{- x} > 27^{2 x + 1}$
190830	Solve for x	1/2 log base 3 of x=2 log base 3 of 2	$\frac{1}{2} \log_{3} (x) = 2 \log_{3} (2)$
190831	Find the Roots (Zeros)	f(x) = square root of x+4-3	$f (x) = \sqrt{x + 4} - 3$
190832	Solve for x	(x+2)(x+3)=(x+1)(x+5)	$(x + 2) (x + 3) = (x + 1) (x + 5)$
190833	Simplify	square root of 2 square root of 7- square root of 12* square root of 2 square root of 7+ square root of 12	$\sqrt{2 \sqrt{7} - \sqrt{12}} \cdot \sqrt{2 \sqrt{7} + \sqrt{12}}$
190834	Solve the Inequality for y	6(5y-(3y-1))>=4(3y-7)	$6 (5 y - (3 y - 1)) \geq 4 (3 y - 7)$
190835	Find the Roots (Zeros)	-2r^2+r+7=0	$- 2 r^{2} + r + 7 = 0$
190836	Solve for x	9-(2x+7)/3=(x+5)/6	$9 - \frac{2 x + 7}{3} = \frac{x + 5}{6}$
190837	Solve Using the Quadratic Formula	-20=-8x-x^2	$- 20 = - 8 x - x^{2}$
190838	Solve for x	5x^3+30x^2+45x=0	$5 x^{3} + 30 x^{2} + 45 x = 0$
190839	Find All Complex Solutions	2cos(2x)-1=0	$2 \cos (2 x) - 1 = 0$
190840	Graph	3x-1>=y	$3 x - 1 \geq y$
190841	Solve for x	log base 5 of 3x+2+ log base 5 of 4x-4=2	$\log_{5} (3 x + 2) + \log_{5} (4 x - 4) = 2$
190842	Solve for x	x+2<=-5	$x + 2 \leq - 5$
190843	Solve the Absolute Value Inequality for b	\|b+3\|>=7	$\| b + 3 \| \geq 7$
190844	Write in Slope-Intercept Form	3y-9=0	$3 y - 9 = 0$
190845	Simplify	(3e^2-5e+7)(6e+1)	$(3 e^{2} - 5 e + 7) (6 e + 1)$
190846	Solve for x	75=-5(-3-4x)	$75 = - 5 (- 3 - 4 x)$
190847	Graph	f(x)=a(x-h)^2+k(a)!=(0)	$f (x) = a {(x - h)}^{2} + k (a) \neq (0)$
190848	Solve the Inequality for x	-3x+5<=4-x	$- 3 x + 5 \leq 4 - x$
190849	Solve for x	(b-a)x=a-b	$(b - a) x = a - b$
190850	Write in Slope-Intercept Form	x+2y<=4	$x + 2 y \leq 4$
190851	Find the 5th Term	1/8 , 1/4 , 3/8 , 1/2	$\frac{1}{8}$ , $\frac{1}{4}$ , $\frac{3}{8}$ , $\frac{1}{2}$
190852	Find the Distance Between Two Points	(9,-5) and (0,-9)	$(9, - 5)$ and $(0, - 9)$
190853	Solve for x	cos(x)tan(x)-cos(x)=0	$\cos (x) \tan (x) - \cos (x) = 0$
190854	Find g(f(x))	f(x)=x-3 and g(x)=5x^2-2	$f (x) = x - 3$ and $g (x) = 5 x^{2} - 2$
190855	Simplify	(r-8)/(7(r+2))*(7(r+2))/(r+2)	$\frac{r - 8}{7 (r + 2)} \cdot \frac{7 (r + 2)}{r + 2}$
190856	Solve for c	3(cx-7)=9	$3 (c x - 7) = 9$
190857	Solve the System of Inequalities	-25x+175>225 ; AND , 5x-83>=-73	$- 25 x + 175 > 225$ ; AND , $5 x - 83 \geq - 73$
190858	Multiply	(6m-5n)(-n+m)	$(6 m - 5 n) (- n + m)$
190859	Graph	x^2-4x+4=2x+1+x^2	$x^{2} - 4 x + 4 = 2 x + 1 + x^{2}$
190860	Solve the Inequality for x	10(x+4)<8x-(x+2)	$10 (x + 4) < 8 x - (x + 2)$
190861	Find the End Behavior	f(x)=2520+3x^3-291x-219x^2+3x^4	$f (x) = 2520 + 3 x^{3} - 291 x - 219 x^{2} + 3 x^{4}$
190862	Factor	(2x^2+5x-3)	$(2 x^{2} + 5 x - 3)$
190863	Solve for B	((5z^2)/(z^2+5z))÷(B/(z^2-2z-35))=1	$\frac{5 z^{2}}{z^{2} + 5 z} \div \frac{B}{z^{2} - 2 z - 35} = 1$
190864	Solve for b	2x^3-2x^2-24x=ax(x+b)(x+c)	$2 x^{3} - 2 x^{2} - 24 x = a x (x + b) (x + c)$
190865	Find f(g(x))	f(x) = cube root of x-1 g(x)=x^3+1	$f (x) = \sqrt[3]{x - 1}$ $g (x) = x^{3} + 1$
190866	Convert to Rectangular	x=3t+5 , y=t^2-1	$x = 3 t + 5$ , $y = t^{2} - 1$
190867	Solve the System of Equations	x+2y+2z=-2 2x-2y-z=-5 x+4y+2z=0	$x + 2 y + 2 z = - 2$ $2 x - 2 y - z = - 5$ $x + 4 y + 2 z = 0$
190868	Simplify	x^2-2x-6 from -6x+5	$x^{2} - 2 x - 6$ from $- 6 x + 5$
190869	Simplify	((2-3^2)^2+ square root of 81)/(10-6÷3)	$\frac{{(2 - 3^{2})}^{2} + \sqrt{81}}{10 - 6 \div 3}$
190870	Find All Complex Solutions	-2sin(x)^2=-sin(x)-1	$- 2 \sin^{2} (x) = - \sin (x) - 1$
190871	Graph	f(x)=x^5-x^4+x^2+14	$f (x) = x^{5} - x^{4} + x^{2} + 14$
190872	Rationalize the Denominator	1/(5 square root of 5-3 square root of 3)	$\frac{1}{5 \sqrt{5} - 3 \sqrt{3}}$
190873	Find the Roots (Zeros)	y=3x(x-4)^3(x+6)^2(2x+1)^4	$y = 3 x {(x - 4)}^{3} {(x + 6)}^{2} {(2 x + 1)}^{4}$
190874	Graph	f(x)=1/5 cube root of x	$f (x) = \frac{1}{5} \sqrt[3]{x}$
190875	Solve for x	-8+1/2(-x-4)-5x=-6(-1/3x+2)	$- 8 + \frac{1}{2} (- x - 4) - 5 x = - 6 (- \frac{1}{3} x + 2)$
190876	Solve for x	6(x+3)<=4x+1	$6 (x + 3) \leq 4 x + 1$
190877	Evaluate	(3/4+5/3)+(7+1/5)	$(\frac{3}{4} + \frac{5}{3}) + (7 + \frac{1}{5})$
190878	Solve the System of Equations	4x+8y=12 x+2y=-3	$4 x + 8 y = 12$ $x + 2 y = - 3$
190879	Multiply	(m-5n)(m^2-3mn-9n^2)	$(m - 5 n) (m^{2} - 3 m n - 9 n^{2})$
190880	Divide	(-2 4/5)÷(-7)	$- 2 \frac{4}{5} \div (- 7)$
190881	Solve the Inequality for x	square root of x+3> square root of 9-x^2	$\sqrt{x + 3} > \sqrt{9 - x^{2}}$
190882	Find the x and y Intercepts	f(x)=(2x^2-11x+9)/(6x^2-27x)	$f (x) = \frac{2 x^{2} - 11 x + 9}{6 x^{2} - 27 x}$
190883	Simplify	square root of (7x^3)/3	$\sqrt{\frac{7 x^{3}}{3}}$
190884	Simplify	1/( square root of 3+ square root of 2)	$\frac{1}{\sqrt{3} + \sqrt{2}}$
190885	Solve for v	-6(2v+4)=-8(v-4)	$- 6 (2 v + 4) = - 8 (v - 4)$
190886	Evaluate	8-\|2*-3.5-5\|	$8 - \| 2 \cdot - 3.5 - 5 \|$
190887	Solve for M	v = square root of (3RT)/M	$v = \sqrt{\frac{3 R T}{M}}$
190888	Simplify	square root of 63x^3+9x square root of 112x	$\sqrt{63 x^{3}} + 9 x \sqrt{112 x}$
190889	Solve for x	x(x^2-1)=3+x^3	$x (x^{2} - 1) = 3 + x^{3}$
190890	Factor	5z^3-2z^4-9z^2+z	$5 z^{3} - 2 z^{4} - 9 z^{2} + z$
190891	Find the Exact Value	7/2+9/6	$\frac{7}{2} + \frac{9}{6}$
190892	Solve for x	9-(7-x)=-5x-1+7x	$9 - (7 - x) = - 5 x - 1 + 7 x$
190893	Solve for x	7x^2-14x+5=-x^2	$7 x^{2} - 14 x + 5 = - x^{2}$
190894	Divide	1 3/4÷(2/3)	$1 \frac{3}{4} \div \frac{2}{3}$
190895	Simplify	-7/8-(-5/6)	$- \frac{7}{8} - (- \frac{5}{6})$
190896	Solve for x	2+2/x=3	$2 + \frac{2}{x} = 3$
190897	Find the Product	fourth root of 7* fourth root of 7* fourth root of 7* fourth root of 7	$\sqrt[4]{7} \cdot \sqrt[4]{7} \cdot \sqrt[4]{7} \cdot \sqrt[4]{7}$
190898	Solve for v	3+v=2(2v-1)	$3 + v = 2 (2 v - 1)$
190899	Solve for c	2c+6>5c-9	$2 c + 6 > 5 c - 9$
190900	Evaluate	5!4!	$5! 4!$