Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
14001	Subtract	(x-1)/(x-2)-(x^2+4x-4)/(x^2+4x-12)	$\frac{x - 1}{x - 2} - \frac{x^{2} + 4 x - 4}{x^{2} + 4 x - 12}$
14002	Find the Roots (Zeros)	9x^2+38=-36x	$9 x^{2} + 38 = - 36 x$
14003	Solve for x	2/3x-5/6x-3=1/2x-5	$\frac{2}{3} x - \frac{5}{6} x - 3 = \frac{1}{2} x - 5$
14004	Solve for m	27=m^3	$27 = m^{3}$
14005	Simplify	(4(fg^3))^-2(-4fg^3h)^2(3gh^4)^-1	${(4 f g^{3})}^{- 2} {(- 4 f g^{3} h)}^{2} {(3 g h^{4})}^{- 1}$
14006	Simplify	-9d-4p-6-10d+8	$- 9 d - 4 p - 6 - 10 d + 8$
14007	Solve the Differential Equation	y'-y^2=0	$y' - y^{2} = 0$
14008	Simplify	3m^(1/4)(mn^(1/3))^(3/2)	$3 m^{\frac{1}{4}} {(m n^{\frac{1}{3}})}^{\frac{3}{2}}$
14009	Solve for t	-2.5+0.25t=0.75t	$- 2.5 + 0.25 t = 0.75 t$
14010	Solve for X	-20=-4X-6X	$- 20 = - 4 X - 6 X$
14011	Simplify the Radical Expression	square root of square root of 81	$\sqrt{\sqrt{81}}$
14012	Solve the Function Operation	f(x)=6(x-9) ; find f^-1(x)	$f (x) = 6 (x - 9)$ ; find $f^{- 1} (x)$
14013	Find the Holes in the Graph	(x^3-x^2-6x)/(-3x^2-3x+18)	$\frac{x^{3} - x^{2} - 6 x}{- 3 x^{2} - 3 x + 18}$
14014	Simplify	(x^2-1/2)^2	${(x^{2} - \frac{1}{2})}^{2}$
14015	Graph	f(x) = log base 1/4 of x-1+1	$f (x) = \log_{\frac{1}{4}} (x - 1) + 1$
14016	Convert to Radical Form	(27)^(-2/3)	${(27)}^{- \frac{2}{3}}$
14017	Combine Like Terms	11x-21+11-6x	$11 x - 21 + 11 - 6 x$
14018	Verify the Identity	csc(x)^2*sin(x)=(sec(x)^2-tan(x)^2)/(sin(x))	$\csc^{2} (x) \cdot \sin (x) = \frac{\sec^{2} (x) - \tan^{2} (x)}{\sin (x)}$
14019	Simplify	(2(2x^2y^3)^4)/(4(3x^4y^6)^2)	$\frac{2 {(2 x^{2} y^{3})}^{4}}{4 {(3 x^{4} y^{6})}^{2}}$
14020	Find All Complex Solutions	x^3+2x^2+36x=-72	$x^{3} + 2 x^{2} + 36 x = - 72$
14021	Simplify	( square root of 45* square root of 20)/2	$\frac{\sqrt{45} \cdot \sqrt{20}}{2}$
14022	Simplify	((5m)/(6n))÷((15m^2)/8)	$\frac{5 m}{6 n} \div \frac{15 m^{2}}{8}$
14023	Find dy/dx	-xy-4y^2+5=0	$- x y - 4 y^{2} + 5 = 0$
14024	Find the Maximum/Minimum Value	g(x)=3x^4+8x^3+4	$g (x) = 3 x^{4} + 8 x^{3} + 4$
14025	Divide Using Synthetic Division	(2x^3-10x^2+x-5)÷(x-5)	$(2 x^{3} - 10 x^{2} + x - 5) \div (x - 5)$
14026	Solve the Inequality for w	w-8>=5.6	$w - 8 \geq 5.6$
14027	Solve for x	2/(x+5)=6/(8x)	$\frac{2}{x + 5} = \frac{6}{8 x}$
14028	Solve for x	10-3 cube root of 2x+5=-11	$10 - 3 \sqrt[3]{2 x + 5} = - 11$
14029	Evaluate	log base 5 of x- log base 5 of 25=7	$\log_{5} (x) - \log_{5} (25) = 7$
14030	Evaluate	(10+7r-r^2)+(-6r^2-18+5r)	$(10 + 7 r - r^{2}) + (- 6 r^{2} - 18 + 5 r)$
14031	Simplify	(x^2+18x+81)/((x+9)^5 square root of x+9)	$\frac{x^{2} + 18 x + 81}{{(x + 9)}^{5} \sqrt{x + 9}}$
14032	Graph	f(x) = square root of x^3+3x^2	$f (x) = \sqrt{x^{3} + 3 x^{2}}$
14033	Write Using Positive Exponents	(3^-3(-2)^-5)/(6^-1)	$\frac{3^{- 3} {(- 2)}^{- 5}}{6^{- 1}}$
14034	Evaluate	(-18m^2n)^2(-1/6mn^2)	${(- 18 m^{2} n)}^{2} (- \frac{1}{6} m n^{2})$
14035	Write the Fraction in Simplest Form	((2^-10)/(4^2))^7	${(\frac{2^{- 10}}{4^{2}})}^{7}$
14036	Simplify	-3 square root of 28+(-2 square root of 7)	$- 3 \sqrt{28} + (- 2 \sqrt{7})$
14037	Simplify	( square root of a^9)/( fifth root of a^6)	$\frac{\sqrt{a^{9}}}{\sqrt[5]{a^{6}}}$
14038	Simplify	-1/3(y-x)	$- \frac{1}{3} (y - x)$
14039	Solve for x	2/(x^2-2x)-1/(x-2)=1	$\frac{2}{x^{2} - 2 x} - \frac{1}{x - 2} = 1$
14040	Evaluate	(-6+- square root of 36-(4)2-5)/4	$\frac{- 6 + - \sqrt{36 - (4) \cdot 2 \cdot - 5}}{4}$
14041	Simplify	9xy^4*3x^3y	$9 x y^{4} \cdot 3 x^{3} y$
14042	Solve for x	8^(2x-2)=4^x	$8^{2 x - 2} = 4^{x}$
14043	Solve the Inequality for y	25.2<=-1.5y+1.2	$25.2 \leq - 1.5 y + 1.2$
14044	Solve for a	1/3(4a+1)=1/2a	$\frac{1}{3} (4 a + 1) = \frac{1}{2} a$
14045	Evaluate from the Left	limit as x approaches 2 of 2x+1	$lim_{x \to 2} 2 x + 1$
14046	Convert to Interval Notation	x<=0 and x>=-4	$x \leq 0$ and $x \geq - 4$
14047	Solve for m	3\|m-7\|+9<30	$3 \| m - 7 \| + 9 < 30$
14048	Solve for x	x/2=1/4+(3x)/4	$\frac{x}{2} = \frac{1}{4} + \frac{3 x}{4}$
14049	Solve the Inequality for r	-2(9r+3)-7r>=-10r-(12r+9)	$- 2 (9 r + 3) - 7 r \geq - 10 r - (12 r + 9)$
14050	Simplify	(2/3)^2(3^-2(-3)^3)/((3^-1)^-3)(5^35^-2)/((5)3^-2)	${(\frac{2}{3})}^{2} \frac{3^{- 2} {(- 3)}^{3}}{{(3^{- 1})}^{- 3}} \frac{5^{3} \cdot 5^{- 2}}{(5) \cdot 3^{- 2}}$
14051	Evaluate	1/2(2)(2)^2	$\frac{1}{2} (2) {(2)}^{2}$
14052	Solve for x	x^3-7x+6=(x-1)(x+3)(x-2)	$x^{3} - 7 x + 6 = (x - 1) (x + 3) (x - 2)$
14053	Solve for x	( square root of x)/2+3=9	$\frac{\sqrt{x}}{2} + 3 = 9$
14054	Multiply	(24x^3)/(50x)*30/(8x^2)	$\frac{24 x^{3}}{50 x} \cdot \frac{30}{8 x^{2}}$
14055	Find dy/dx	-xy+5+5y^2=0	$- x y + 5 + 5 y^{2} = 0$
14056	Simplify	- cube root of -54d^9ef	$- \sqrt[3]{- 54 d^{9} e f}$
14057	Solve for x	log base 5 of 2x=1/6	$\log_{5} (2 x) = \frac{1}{6}$
14058	Evaluate the Integral	integral from 0 to pi/6 of sec(2x)tan(2x) with respect to x	$\int_{0}^{\frac{π}{6}} \sec (2 x) \tan (2 x) d x$
14059	Find the Roots (Zeros)	F(x)=((x-2)(x+1))/(x(x-3)(x+5))	$F (x) = \frac{(x - 2) (x + 1)}{x (x - 3) (x + 5)}$
14060	Simplify	(4v^3-3v^2+v)/v	$\frac{4 v^{3} - 3 v^{2} + v}{v}$
14061	Find Amplitude, Period, and Phase Shift	y=2tan(x-pi/3)-3	$y = 2 \tan (x - \frac{π}{3}) - 3$
14062	Simplify	square root of 3-5 square root of 3+2 square root of 3+10 square root of 3	$\sqrt{3} - 5 \sqrt{3} + 2 \sqrt{3} + 10 \sqrt{3}$
14063	Find the Excluded Values	(x+5)/(x^3-7x^2+12x)	$\frac{x + 5}{x^{3} - 7 x^{2} + 12 x}$
14064	Simplify	(xy)^5(x^2y)^4	${(x y)}^{5} {(x^{2} y)}^{4}$
14065	Solve the Inequality for x	3>-3(2x-2)+9x-3	$3 > - 3 (2 x - 2) + 9 x - 3$
14066	Evaluate	x^2=-1	$x^{2} = - 1$
14067	Evaluate	-6(2/3p^8)^3	$- 6 {(\frac{2}{3} p^{8})}^{3}$
14068	Find the Derivative - d/dx	y=5x^4(7x^5)	$y = 5 x^{4} (7 x^{5})$
14069	Find the Third Term	a_n=((n+1)!)/(n+1)	$a_{n} = \frac{(n + 1)!}{n + 1}$
14070	Convert to Interval Notation	-13<=3+8p<=11	$- 13 \leq 3 + 8 p \leq 11$
14071	Simplify	ab(-4ab^3)	$a b (- 4 a b^{3})$
14072	Simplify	(1/15)(-10x)(-6)	$(\frac{1}{15}) (- 10 x) (- 6)$
14073	Find dy/dx	-y^3-5y-3y^2-5x^3=x^2	$- y^{3} - 5 y - 3 y^{2} - 5 x^{3} = x^{2}$
14074	Simplify	(21x^2-21x)/(18x^2-18x)*(6x)/(6x^2)	$\frac{21 x^{2} - 21 x}{18 x^{2} - 18 x} \cdot \frac{6 x}{6 x^{2}}$
14075	Evaluate	i^25i^14i^7*i^17	$i^{25} \cdot i^{14} \cdot i^{7} \cdot i^{17}$
14076	Solve for p	5 1/2+p=6	$5 \frac{1}{2} + p = 6$
14077	Solve for x	3/(5x)-2/3=1	$\frac{3}{5 x} - \frac{2}{3} = 1$
14078	Write the Fraction in Simplest Form	((3b^-3)^3)/(2b^9)	$\frac{{(3 b^{- 3})}^{3}}{2 b^{9}}$
14079	Simplify the Radical Expression	(7- square root of 2)(8+ square root of 2)	$(7 - \sqrt{2}) (8 + \sqrt{2})$
14080	Evaluate the Integral	integral of 1/(5+2x^6)(12x^5) with respect to x	$\int \frac{1}{5 + 2 x^{6}} (12 x^{5}) d x$
14081	Find Where Increasing/Decreasing	f(x)=x^(1/5)	$f (x) = x^{\frac{1}{5}}$
14082	Find the Product	square root of 2* square root of 8	$\sqrt{2} \cdot \sqrt{8}$
14083	Solve for x	12^(x-4)>144^(x-6)	$12^{x - 4} > 144^{x - 6}$
14084	Simplify	d+d+d+3+2	$d + d + d + 3 + 2$
14085	Convert to a Decimal	4.5rad	$4.5$ radians
14086	Evaluate	3^(4x-9)=1/243	$3^{4 x - 9} = \frac{1}{243}$
14087	Solve for x	sin(x)- square root of 2=-sin(x)	$\sin (x) - \sqrt{2} = - \sin (x)$
14088	Solve the Inequality for m	6m-2(7+3m)>5(2m-3)-m	$6 m - 2 (7 + 3 m) > 5 (2 m - 3) - m$
14089	Factor	4p(4p-1)-3(4p-1)^2	$4 p \cdot (4 p - 1) - 3 \cdot {(4 p - 1)}^{2}$
14090	Simplify	((-2xy^3)^2)/(6y^2)	$\frac{{(- 2 x y^{3})}^{2}}{6 y^{2}}$
14091	Graph	(( square root of 2)/2,-( square root of 2)/2)	$(\frac{\sqrt{2}}{2}, - \frac{\sqrt{2}}{2})$
14092	Solve for c	F(c)=9/5c+32	$F (c) = \frac{9}{5} c + 32$
14093	Solve the System of Equations	3x-2y=6 (2x+2y)=(4)	$3 x - 2 y = 6$ $(2 x + 2 y) = (4)$
14094	Find the Degree, Leading Term, and Leading Coefficient	-x+1/7	$- x + \frac{1}{7}$
14095	Solve the Absolute Value Inequality for x	(\|x+6\|)/7=2	$\frac{\| x + 6 \|}{7} = 2$
14096	Solve for x	(tan(x)-1)(2sin(x)-1)=0	$(\tan (x) - 1) (2 \sin (x) - 1) = 0$
14097	Simplify the Radical Expression	( square root of 6)/( square root of 2)	$\frac{\sqrt{6}}{\sqrt{2}}$
14098	Solve for x	bx+(ac)/(a+b)=c	$b x + \frac{a c}{a + b} = c$
14099	Simplify	(12r^3s^5-18r^2s^2+3rs)/(3rs)	$\frac{12 r^{3} s^{5} - 18 r^{2} s^{2} + 3 r s}{3 r s}$
14100	Find the Geometric Mean	4 and 9	$4$ and $9$