Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
39801	Factor	x^3(2x-y)-xy(2x-y)^2	$x^{3} (2 x - y) - x y {(2 x - y)}^{2}$
39802	Solve for d	d=( square root of 23)^2	$d = {(\sqrt{23})}^{2}$
39803	Evaluate	cos(-105 degrees )	$\cos (- 105 °)$
39804	Simplify	(x+y)^2-xy-(x^2-y^2)	${(x + y)}^{2} - x y - (x^{2} - y^{2})$
39805	Find the Integral	(x^3)/(x^2+1)	$\frac{x^{3}}{x^{2} + 1}$
39806	Evaluate Using Summation Formulas	sum from i=1 to n of 1	$\sum_{i = 1}^{n} 1$
39807	Find the Exact Value	sec(-pi/3)-cot(-(5pi)/4)	$\sec (- \frac{π}{3}) - \cot (- \frac{5 π}{4})$
39808	Simplify	(ab^2+c)(ab^2-c)	$(a b^{2} + c) (a b^{2} - c)$
39809	Find the Domain and Range	sin(x)^2	$\sin^{2} (x)$
39810	Find the Cosine of the Angle	-(5pi)/6	$- \frac{5 π}{6}$
39811	Solve for x	4x^2-4a^2x+(a^4-b^4)=0	$4 x^{2} - 4 a^{2} x + (a^{4} - b^{4}) = 0$
39812	Solve for t	sec(t)-tan(t)=1/(f(t)+tan(t))	$\sec (t) - \tan (t) = \frac{1}{f (t) + \tan (t)}$
39813	Find the x and y Intercepts	4x^5-12x^4+9x^3	$4 x^{5} - 12 x^{4} + 9 x^{3}$
39814	Solve for b	a-b=c	$a - b = c$
39815	Solve for r	x=qV+1/2mr^2	$x = q V + \frac{1}{2} m r^{2}$
39816	Evaluate	40% of 75	$40 %$ of $75$
39817	Find the Maximum/Minimum Value	4(x-1)(x+3)	$4 (x - 1) (x + 3)$
39818	Solve for y	3x-4y=12 ; for y	$3 x - 4 y = 12$ ; for $y$
39819	Find the x and y Intercepts	y=-12+4/x	$y = - 12 + \frac{4}{x}$
39820	Solve for x	log base 5 of 3x+2< log base 5 of 2x+5	$\log_{5} (3 x + 2) < \log_{5} (2 x + 5)$
39821	Multiply	(4x)/(x-1)*(x^2-1)/(3x+3)	$\frac{4 x}{x - 1} \cdot \frac{x^{2} - 1}{3 x + 3}$
39822	Simplify	(4x^3-2x^2+3x-1)+(5x^2-x-5)	$(4 x^{3} - 2 x^{2} + 3 x - 1) + (5 x^{2} - x - 5)$
39823	Evaluate the Integral	integral of tan(5x)^4 with respect to x	$\int \tan^{4} (5 x) d x$
39824	Solve by Factoring	7x^2=35	$7 x^{2} = 35$
39825	Evaluate	2(-3x+1)<14	$2 (- 3 x + 1) < 14$
39826	Evaluate	tan(theta)+cot(theta)=sec(theta)csc(theta)	$\tan (θ) + \cot (θ) = \sec (θ) \csc (θ)$
39827	Solve for d	square root of (50x^6y^3)/(9x^8)=(5y^6 square root of 2y)/(dx)	$\sqrt{\frac{50 x^{6} y^{3}}{9 x^{8}}} = \frac{5 y^{6} \sqrt{2 y}}{d x}$
39828	Multiply	(2x+14)/(x^2+15x+56)*(x^2+3x-40)/(6x)	$\frac{2 x + 14}{x^{2} + 15 x + 56} \cdot \frac{x^{2} + 3 x - 40}{6 x}$
39829	Divide Using Long Polynomial Division	Use the long division method to find the result when 12x^3+25x^2+4x-1 is divided by 3x+1	Use the long division method to find the result when $12 x^{3} + 25 x^{2} + 4 x - 1$ is divided by $3 x + 1$
39830	Determine if Linear	5y=8-10/x	$5 y = 8 - \frac{10}{x}$
39831	Solve for z	1 3/4+z=2 2/3	$1 \frac{3}{4} + z = 2 \frac{2}{3}$
39832	Simplify	(7+2n^2)+(2n^2-2)	$(7 + 2 n^{2}) + (2 n^{2} - 2)$
39833	Multiply	7/275/149/25	$\frac{7}{27} \cdot \frac{5}{14} \cdot \frac{9}{25}$
39834	Convert to Interval Notation	-5<=(-3x+1)/4<=2	$- 5 \leq \frac{- 3 x + 1}{4} \leq 2$
39835	Solve the Absolute Value Inequality for x	-8=-3\|x-5\|-2	$- 8 = - 3 \| x - 5 \| - 2$
39836	Simplify	(7a^3-b)(49a^6+7a^3b+b^2)	$(7 a^{3} - b) (49 a^{6} + 7 a^{3} b + b^{2})$
39837	Solve for x	2(3x+7)(x-1)=0	$2 (3 x + 7) (x - 1) = 0$
39838	Find the Antiderivative	f(x)=(2x^2+5)/(x^2+1)	$f (x) = \frac{2 x^{2} + 5}{x^{2} + 1}$
39839	Simplify	6pq(3p^2+4q)	$6 p q (3 p^{2} + 4 q)$
39840	Simplify	1/(i^5)	$\frac{1}{i^{5}}$
39841	Simplify	( cube root of 27xy^7)/( cube root of xy)	$\frac{\sqrt[3]{27 x y^{7}}}{\sqrt[3]{x y}}$
39842	Simplify	square root of (7p^5)/(63p)	$\sqrt{\frac{7 p^{5}}{63 p}}$
39843	Simplify	(3+ square root of 18)/(1+ square root of 8)	$\frac{3 + \sqrt{18}}{1 + \sqrt{8}}$
39844	Solve for p	45=p*60	$45 = p \times 60$
39845	Evaluate	-(3pi)/4+pi/4	$- \frac{3 π}{4} + \frac{π}{4}$
39846	Find the Asymptotes	f(x)=(5x^3)/(x^3+8)	$f (x) = \frac{5 x^{3}}{x^{3} + 8}$
39847	Evaluate	cos(22.5 degrees )	$\cos (22.5 °)$
39848	Find the Domain and Range	(2x+1)/x	$\frac{2 x + 1}{x}$
39849	Divide	(6-3 cube root of 6)/( cube root of 9)	$\frac{6 - 3 \sqrt[3]{6}}{\sqrt[3]{9}}$
39850	Solve for k	8^(3k+4)=4^(2k-1)	$8^{3 k + 4} = 4^{2 k - 1}$
39851	Factor	(x+y)^2-2z(x+y)-15z^2	${(x + y)}^{2} - 2 z (x + y) - 15 z^{2}$
39852	Graph	4\|6-2a\|+8<=24	$4 \| 6 - 2 a \| + 8 \leq 24$
39853	Find the Degree, Leading Term, and Leading Coefficient	y=-x(x+3)(x-3)	$y = - x (x + 3) (x - 3)$
39854	Find the LCM	6a^2 , 2	$6 a^{2}$ , $2$
39855	Solve for x	4\|5+2x\|+1>=13	$4 \| 5 + 2 x \| + 1 \geq 13$
39856	Find the Inflection Points	y=x^2e^x	$y = x^{2} e^{x}$
39857	Find the Degree	3x^3+x^2+x	$3 x^{3} + x^{2} + x$
39858	Simplify	(12a^2b^2)*(3/4a^3b^4)	$(12 a^{2} b^{2}) \cdot (\frac{3}{4} a^{3} b^{4})$
39859	Solve the Rational Equation for x	1/(x+9)+3=-(4x)/(x+9)	$\frac{1}{x + 9} + 3 = - \frac{4 x}{x + 9}$
39860	Evaluate	31-(5-3*4)^2+(2^6)÷4	$31 - {(5 - 3 \cdot 4)}^{2} + 2^{6} \div 4$
39861	Simplify	(x^2+y^2)+(-x^2+y^2)	$(x^{2} + y^{2}) + (- x^{2} + y^{2})$
39862	Evaluate	\|a-i\| = square root of 37	$\| a - i \| = \sqrt{37}$
39863	Simplify	cube root of 64(x+y)^6	$\sqrt[3]{64 {(x + y)}^{6}}$
39864	Simplify	(-4x^2-3x+3)-(-3+x-2x^2)	$(- 4 x^{2} - 3 x + 3) - (- 3 + x - 2 x^{2})$
39865	Evaluate Using the Given Value	p(q÷3-p) ; use p=-6 ; and q=-3	$p (q \div 3 - p)$ ; use $p = - 6$ ; and $q = - 3$
39866	Factor	162x^4-144x^2+32	$162 x^{4} - 144 x^{2} + 32$
39867	Solve for y	(x+y)/8=M	$\frac{x + y}{8} = M$
39868	Solve the Inequality for b	16+8b>=50	$16 + 8 b \geq 50$
39869	Evaluate	((-4+3)(4+2)-5)3	$((- 4 + 3) \cdot (4 + 2) - 5) \cdot 3$
39870	Graph	1/4m<=-17	$\frac{1}{4} m \leq - 17$
39871	Evaluate	(-m^5n^2-1/2m^4n^4+2/3m^3n-4mn^4)÷(-4m^5n^3)	$(- m^{5} n^{2} - \frac{1}{2} m^{4} n^{4} + \frac{2}{3} m^{3} n - 4 m n^{4}) \div (- 4 m^{5} n^{3})$
39872	Evaluate	6a^3-12a^2-(3a)÷3a	$6 a^{3} - 12 a^{2} - 3 a \div 3 a$
39873	Solve for x	square root of x-5-7=0	$\sqrt{x - 5 - 7} = 0$
39874	Evaluate the Function	g(-2)=6(0.5)^-2	$g (- 2) = 6 {(0.5)}^{- 2}$
39875	Solve by Factoring	6x^2+96x=-384	$6 x^{2} + 96 x = - 384$
39876	Solve for g	-6g+5=4g-2-3g	$- 6 g + 5 = 4 g - 2 - 3 g$
39877	Solve for b	a=bc+b	$a = b c + b$
39878	Simplify	3(5-4)-3(5-4)	$3 \cdot (5 - 4) - 3 \cdot (5 - 4)$
39879	Solve for n	t(n)=-6+3(n-1)	$t (n) = - 6 + 3 (n - 1)$
39880	Solve for x	5x*2-36x+36=0	$5 x \cdot 2 - 36 x + 36 = 0$
39881	Evaluate the Integral	integral from 0 to 1 of 1/((x-1)^(1/3)) with respect to x	$\int_{0}^{1} \frac{1}{{(x - 1)}^{\frac{1}{3}}} d x$
39882	Divide Using Long Polynomial Division	(2x^3+x^2-24x+8)÷(x-3)	$(2 x^{3} + x^{2} - 24 x + 8) \div (x - 3)$
39883	Graph	x+2y=-4 4y=3x+12	$x + 2 y = - 4$ $4 y = 3 x + 12$
39884	Find the Exact Value	3(x-2)	$3 (x - 2)$
39885	Find the Geometric Mean	5 and 15	$5$ and $15$
39886	Evaluate Using Summation Formulas	limit as n approaches infinity of sum from i=1 to n of (1+i/n)(2/n)	$lim_{n \to \infty} \sum_{i = 1}^{n} (1 + \frac{i}{n}) (\frac{2}{n})$
39887	Solve the System of Inequalities	5x+2>=27 and 3x-1<29	$5 x + 2 \geq 27$ and $3 x - 1 < 29$
39888	Solve for T	T=(3610^227)/(6^4*5)	$T = \frac{36 \cdot 10^{2} \cdot 27}{6^{4} \cdot 5}$
39889	Solve for x	36^(4x-1)=6^(x+2)	$36^{4 x - 1} = 6^{x + 2}$
39890	Evaluate the Integral	integral from -1 to 1 of e^y-y^2+2 with respect to y	$\int_{- 1}^{1} e^{y} - y^{2} + 2 d y$
39891	Find Where Increasing/Decreasing	h'(x)=(x+5)/(x+1)	$h' (x) = \frac{(x + 5)}{(x + 1)}$
39892	Evaluate	(4-2)/(2^-3)	$\frac{4 - 2}{2^{- 3}}$
39893	Evaluate the Integral	- integral from 1 to 0 of x with respect to x	$- \int_{1}^{0} x d x$
39894	Solve for r	r-3/4=12.75	$r - \frac{3}{4} = 12.75$
39895	Evaluate the Function	f(-2)=-2^2+2	$f (- 2) = - 2^{2} + 2$
39896	Evaluate	x/2-1500=1176	$\frac{x}{2} - 1500 = 1176$
39897	Simplify	cube root of square root of 8000	$\sqrt[3]{\sqrt{8000}}$
39898	Evaluate the Limit	limit as x approaches 5 of ( natural log of x- natural log of 5)/(x-5)	$lim_{x \to 5} \frac{\ln (x) - \ln (5)}{x - 5}$
39899	Solve the Function Operation	If f(x)=1/x and g(x)=3x+2 find (gog)(-4)	If $f (x) = \frac{1}{x}$ and $g (x) = 3 x + 2$ find $((g \circ g)) (- 4)$
39900	Evaluate the Integral	integral of (3x^3+6+6x) with respect to x	$\int (3 x^{3} + 6 + 6 x) d x$