Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
11101	Factor	4x^4+35x^2-9=0	$4 x^{4} + 35 x^{2} - 9 = 0$
11102	Solve the Inequality for x	31(2x+1)-12x>50x	$31 (2 x + 1) - 12 x > 50 x$
11103	Simplify	(6^7)/(6^8*6^-7)	$\frac{6^{7}}{6^{8} \cdot 6^{- 7}}$
11104	Find the Equation Using Slope-Intercept Form	point: (11,3) ; slope: 4/11	point: $(11, 3)$ ; slope: $\frac{4}{11}$
11105	Find the LCM	2x^2-18 and 5x^3+30x^2+45x	$2 x^{2} - 18$ and $5 x^{3} + 30 x^{2} + 45 x$
11106	Simplify	(8m^3nq^2)^2	${(8 m^{3} n q^{2})}^{2}$
11107	Find the Center and Radius	x^2+y^2+20x+100=0	$x^{2} + y^{2} + 20 x + 100 = 0$
11108	Simplify	(10^7)/(25^3)*5/32	$\frac{10^{7}}{25^{3}} \cdot \frac{5}{32}$
11109	Simplify	(7y-5)/(12y)-(10y-19)/(12y)+(10-15y)/(12y)	$\frac{7 y - 5}{12 y} - \frac{10 y - 19}{12 y} + \frac{10 - 15 y}{12 y}$
11110	Solve the Function Operation	f(x)=x^2+5x+12 g(x)=-x+5 Find: f(g(x))	$f (x) = x^{2} + 5 x + 12$ $g (x) = - x + 5$ Find: $f (g (x))$
11111	Simplify	4/5+5/4-1 1/20	$\frac{4}{5} + \frac{5}{4} - 1 \frac{1}{20}$
11112	Divide Using Long Polynomial Division	(3a^3-15a^2b+12ab^2)/(3a^2b)	$\frac{3 a^{3} - 15 a^{2} b + 12 a b^{2}}{3 a^{2} b}$
11113	Write the Fraction in Simplest Form	((-5p^-2)^3)/(-4p^-1)	$\frac{{(- 5 p^{- 2})}^{3}}{- 4 p^{- 1}}$
11114	Solve Using the Quadratic Formula	4(4x-3)^2-10=26	$4 {(4 x - 3)}^{2} - 10 = 26$
11115	Evaluate	(1/2)/(1/2+1)-1	$\frac{\frac{1}{2}}{\frac{1}{2} + 1} - 1$
11116	Evaluate	((- square root of 3)/2)÷(1/2)	$\frac{- \sqrt{3}}{2} \div \frac{1}{2}$
11117	Solve for x	9^(2x+1)-2*3^(4x-1)=225	$9^{2 x + 1} - 2 \cdot 3^{4 x - 1} = 225$
11118	Find the Antiderivative	e^(2x)-e^x	$e^{2 x} - e^{x}$
11119	Solve for x	(3x+7)/(x+8)-(2x)/(x-2)=2/(x^2+6x-16)	$\frac{3 x + 7}{x + 8} - \frac{2 x}{x - 2} = \frac{2}{x^{2} + 6 x - 16}$
11120	Evaluate the Limit	limit as x approaches -6 of ((x+2)/(x^2-12)-1/x)/(x+6)	$lim_{x \to - 6} \frac{\frac{x + 2}{x^{2} - 12} - \frac{1}{x}}{x + 6}$
11121	Add	-10x^2-x+6+10x^2-5	$- 10 x^{2} - x + 6 + 10 x^{2} - 5$
11122	Simplify	(15a^3b^4c^2)/(3a^2bc^4)	$\frac{15 a^{3} b^{4} c^{2}}{3 a^{2} b c^{4}}$
11123	Solve for x	5/6=(7x+9)/9	$\frac{5}{6} = \frac{7 x + 9}{9}$
11124	Find the Derivative - d/dx	1/(x^2)dx	$\frac{1}{x^{2}} d x$
11125	Evaluate	1/5*(1/3)^3	$\frac{1}{5} \cdot {(\frac{1}{3})}^{3}$
11126	Simplify	( square root of w^11)/( cube root of w^8)	$\frac{\sqrt{w^{11}}}{\sqrt[3]{w^{8}}}$
11127	Write as a Single Logarithm	5* log base 8 of c^3d^2+3* log base 8 of cd^7	$5 \cdot \log_{8} (c^{3} d^{2}) + 3 \cdot \log_{8} (c d^{7})$
11128	Solve the Function Operation	f(x)=(x+6)^3 ; find f^-1(x)	$f (x) = {(x + 6)}^{3}$ ; find $f^{- 1} (x)$
11129	Evaluate	f(-3)=0.5^-3	$f (- 3) = {0.5}^{- 3}$
11130	Find the Inverse	y=4+ cube root of x-4	$y = 4 + \sqrt[3]{x - 4}$
11131	Factor	x^3-3x^2-10x-x^2+3x+10=0	$x^{3} - 3 x^{2} - 10 x - x^{2} + 3 x + 10 = 0$
11132	Solve for w	-5w+12w+9=4w+42	$- 5 w + 12 w + 9 = 4 w + 42$
11133	Determine if Odd, Even, or Neither	-2/5x^3	$- \frac{2}{5} x^{3}$
11134	Evaluate	1÷(-( square root of 2)/2)	$1 \div (- \frac{\sqrt{2}}{2})$
11135	Describe the Transformation	f(x)=6(1/3)^x	$f (x) = 6 {(\frac{1}{3})}^{x}$
11136	Solve the System of Inequalities	y<2x-4 y>2x+1	$y < 2 x - 4$ $y > 2 x + 1$
11137	Find the Antiderivative	f(x)=1/(5x-2)	$f (x) = \frac{1}{5 x - 2}$
11138	Simplify	square root of 49x* fourth root of 16x^6	$\sqrt{49 x} \cdot \sqrt[4]{16 x^{6}}$
11139	Subtract	1/(x^2+3x-4)-1/(x^2-3x+2)	$\frac{1}{x^{2} + 3 x - 4} - \frac{1}{x^{2} - 3 x + 2}$
11140	Write in Exponential Form	square root of 5* cube root of 5	$\sqrt{5} \cdot \sqrt[3]{5}$
11141	Simplify	2x^2+3y-4+4x^2-7+y	$2 x^{2} + 3 y - 4 + 4 x^{2} - 7 + y$
11142	Solve for p	s=p+i	$s = p + i$
11143	Find the Domain	y = square root of 7x-x^2	$y = \sqrt{7 x - x^{2}}$
11144	Solve the Inequality for x	4- square root of 2x+1<1	$4 - \sqrt{2 x + 1} < 1$
11145	Simplify	2x cube root of 24x+5 cube root of 81x^4	$2 x \sqrt[3]{24 x} + 5 \sqrt[3]{81 x^{4}}$
11146	Find the Asymptotes	(-5x^2+20)/(3x^2-6x)	$\frac{- 5 x^{2} + 20}{3 x^{2} - 6 x}$
11147	Simplify	(1/(625^(-3/4)))	$(\frac{1}{625^{- \frac{3}{4}}})$
11148	Find the Degree, Leading Term, and Leading Coefficient	f(x)=7-x	$f (x) = 7 - x$
11149	Evaluate	3^(2a)=3^(-a)	$3^{2 a} = 3^{- a}$
11150	Solve the Function Operation	f(x)=3x^2+4x-3 g(x)=-2x-5 Find: g(f(x))	$f (x) = 3 x^{2} + 4 x - 3$ $g (x) = - 2 x - 5$ Find: $g (f (x))$
11151	Simplify	(6x^3+2x^2-4x)+(3x^2-7x+1)+(2x^3-5x^2+8x-7)	$(6 x^{3} + 2 x^{2} - 4 x) + (3 x^{2} - 7 x + 1) + (2 x^{3} - 5 x^{2} + 8 x - 7)$
11152	Write in Standard Form	9p^3q^4(3p^3-5q)	$9 p^{3} q^{4} (3 p^{3} - 5 q)$
11153	Solve for x	1/8x^3+1 1/2x=3/4x^2+1	$\frac{1}{8} x^{3} + 1 \frac{1}{2} x = \frac{3}{4} x^{2} + 1$
11154	Find the Product	-a^2b^2c^2(a+b-c)	$- a^{2} b^{2} c^{2} (a + b - c)$
11155	Evaluate	1-2/3+4/9-8/27+dots	$1 - \frac{2}{3} + \frac{4}{9} - \frac{8}{27} + d o t s$
11156	Simplify	(3x^2-2)+(5x^2+5x-1)	$(3 x^{2} - 2) + (5 x^{2} + 5 x - 1)$
11157	Find the Exact Value	sec(60 degrees )cot(30 degrees )	$\sec (60 °) \cot (30 °)$
11158	Solve for x	cube root of x+4 = cube root of 2x+3	$\sqrt[3]{x + 4} = \sqrt[3]{2 x + 3}$
11159	Find the x and y Intercepts	f(x)=(-2x)/3+2	$f (x) = \frac{- 2 x}{3} + 2$
11160	Solve for b	68=4+b^3	$68 = 4 + b^{3}$
11161	Simplify	n-(1-(n-(1-n)-1))	$n - (1 - (n - (1 - n) - 1))$
11162	Find the Local Maxima and Minima	f(x)=-1/5x^5-2x^4-5x^3+9	$f (x) = - \frac{1}{5} x^{5} - 2 x^{4} - 5 x^{3} + 9$
11163	Solve the Rational Equation for x	-8 square root of x-5=-16	$- 8 \sqrt{x - 5} = - 16$
11164	Evaluate	log base 4 of 8 log base 6 of 36- log base 3 of log base 5 of 5	$\log_{4} (8 \log_{6} (36)) - \log_{3} (\log_{5} (5))$
11165	Solve for x	2/5=30/(3x+9)	$\frac{2}{5} = \frac{30}{3 x + 9}$
11166	Simplify	9(3^-2)-(3^4)/(3^2)- square root of 2^6	$9 (3^{- 2}) - \frac{3^{4}}{3^{2}} - \sqrt{2^{6}}$
11167	Solve the Inequality for θ	tan(theta)<0	$\tan (θ) < 0$
11168	Find the Other Trig Values in Quadrant II	cot(theta)=-( square root of 3)/8	$\cot (θ) = - \frac{\sqrt{3}}{8}$
11169	Evaluate	square root of (x-1)^2=1-x	$\sqrt{{(x - 1)}^{2}} = 1 - x$
11170	Find Amplitude, Period, and Phase Shift	y=1/2sin(pi/3x)	$y = \frac{1}{2} \sin (\frac{π}{3} x)$
11171	Solve for x	7(x+3)-3(x-2)=16(2x-3)+19	$7 (x + 3) - 3 (x - 2) = 16 (2 x - 3) + 19$
11172	Solve for x	(8x-1)(x^2-15)=0	$(8 x - 1) (x^{2} - 15) = 0$
11173	Factor	(6a^2+11a-10)÷(3a-2)	$(6 a^{2} + 11 a - 10) \div (3 a - 2)$
11174	Factor	a^3+1/8b^3	$a^{3} + \frac{1}{8} b^{3}$
11175	Simplify	(16 square root of xy)(-2 square root of xy)	$(16 \sqrt{x y}) (- 2 \sqrt{x y})$
11176	Find the Derivative - d/dx	square root of x+x^(3/2)-8x	$\sqrt{x} + x^{\frac{3}{2}} - 8 x$
11177	Solve the Rational Equation for x	square root of x-2x+7=0	$\sqrt{x} - 2 x + 7 = 0$
11178	Graph	16x^2+4y^2<=64 y>=-x^2+2	$16 x^{2} + 4 y^{2} \leq 64$ $y \geq - x^{2} + 2$
11179	Solve for r	C(r)=2pir	$C (r) = 2 π r$
11180	Find the Other Trig Values in Quadrant IV	cos(theta)=1	$\cos (θ) = 1$
11181	Simplify	(x^2(x+2)(x-4))/(6x(x^2+x-20))	$\frac{x^{2} (x + 2) (x - 4)}{6 x (x^{2} + x - 20)}$
11182	Simplify	6^5*(6^-2)^3	$6^{5} \cdot {(6^{- 2})}^{3}$
11183	Simplify	x/4-(5x)/4	$\frac{x}{4} - \frac{5 x}{4}$
11184	Write in Standard Form	y^2(-4y+5)-6y^2	$y^{2} (- 4 y + 5) - 6 y^{2}$
11185	Evaluate	sixth root of 2* square root of 2	$\sqrt[6]{2} \cdot \sqrt{2}$
11186	Solve by Factoring	18=6x+x(x-13)	$18 = 6 x + x (x - 13)$
11187	Find the Derivative - d/dx	(5-2x)e^x	$(5 - 2 x) e^{x}$
11188	Find dz/dx	z=y(3+2x)^4	$z = y {(3 + 2 x)}^{4}$
11189	Find the GCF	8w^3v^2-3w^2v+11wv	$8 w^{3} v^{2} - 3 w^{2} v + 11 w v$
11190	Add	3 1/3+(-2 1/4)+1 5/6	$3 \frac{1}{3} + (- 2 \frac{1}{4}) + 1 \frac{5}{6}$
11191	Evaluate the Integral	integral of (e^(3x)-18e^(-4x)) with respect to x	$\int (e^{3 x} - 18 e^{- 4 x}) d x$
11192	Solve the System of Equations	y=-5x+1 y=1-5x	$y = - 5 x + 1$ $y = 1 - 5 x$
11193	Find the Inflection Points	f(x)=-1/2x^4+42x^2	$f (x) = - \frac{1}{2} x^{4} + 42 x^{2}$
11194	Evaluate the Limit	limit as x approaches 0 of tan(pi/4)	$lim_{x \to 0} \tan (\frac{π}{4})$
11195	Integrate Using u-Substitution	integral from 1 to 2 of (e^(1/(x^4)))/(x^5) with respect to x	$\int_{1}^{2} \frac{e^{\frac{1}{x^{4}}}}{x^{5}} d x$
11196	Find the Tangent of the Angle	pi/6	$\frac{π}{6}$
11197	Simplify	(m^(4/7)n^3)^7(m^4)^3	${(m^{\frac{4}{7}} n^{3})}^{7} {(m^{4})}^{3}$
11198	Solve for x	10^(x-1)=e	$10^{x - 1} = e$
11199	Simplify	3/( fourth root of 144)	$\frac{3}{\sqrt[4]{144}}$
11200	Simplify	2 1/2/2 1/3	$\frac{2 \frac{1}{2}}{2 \frac{1}{3}}$