Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
23801	Solve Using the Quadratic Formula	-2x=x^2-6	$- 2 x = x^{2} - 6$
23802	Solve for a in Degrees	sin(a)=0.5	$\sin (a) = 0.5$
23803	Rationalize the Denominator	(3 square root of 6)/( square root of 2)	$\frac{3 \sqrt{6}}{\sqrt{2}}$
23804	Evaluate the Integral	integral of (4+2x^2+6x) with respect to x	$\int (4 + 2 x^{2} + 6 x) d x$
23805	Evaluate	(-3^2x^6)^5	${(- 3^{2} x^{6})}^{5}$
23806	Simplify	2x^3+3x^2+5x-4÷(x^2)+x+1	$2 x^{3} + 3 x^{2} + 5 x - 4 \div x^{2} + x + 1$
23807	Divide Using Long Polynomial Division	(3x^3+4x+11)÷(x^2-3x+2)	$(3 x^{3} + 4 x + 11) \div (x^{2} - 3 x + 2)$
23808	Evaluate	cube root of 2x+3=3	$\sqrt[3]{2 x + 3} = 3$
23809	Solve the Inequality for x	\|x-2\|=5	$\| x - 2 \| = 5$
23810	Find the Antiderivative	f(x)=4/(x^5)-3	$f (x) = \frac{4}{x^{5}} - 3$
23811	Find the Antiderivative	y=e^x	$y = e^{x}$
23812	Find the Antiderivative	(1+sin(x))^2	${(1 + \sin (x))}^{2}$
23813	Evaluate	(3^-1)/((3^2)^-6)	$\frac{3^{- 1}}{{(3^{2})}^{- 6}}$
23814	Solve for a	1/14(a+8)=1/4(3-a)	$\frac{1}{14} (a + 8) = \frac{1}{4} (3 - a)$
23815	Write in Standard Form	(9x^2-8)-(-4x^2-5x)	$(9 x^{2} - 8) - (- 4 x^{2} - 5 x)$
23816	Solve the Function Operation	([(1,4-0,2)*3,2])÷1 , 5	$[(1, 4 - 0, 2) \cdot 3, 2] \div 1$ , $5$
23817	Divide Using Long Polynomial Division	(5x^4+14x^3+9x)÷(x^2+3x+1)	$(5 x^{4} + 14 x^{3} + 9 x) \div (x^{2} + 3 x + 1)$
23818	Simplify	(24y^3y^2)/(8y^6*3y^3)	$\frac{24 y^{3} y^{2}}{8 y^{6} \cdot 3 y^{3}}$
23819	Find the Exact Value	sin(pi/3)cos(pi/2)+cos(pi/3)sin(pi/2)	$\sin (\frac{π}{3}) \cos (\frac{π}{2}) + \cos (\frac{π}{3}) \sin (\frac{π}{2})$
23820	Evaluate the Integral	pi integral from 0 to 2 of (4-x^2)^2 with respect to x	$π \int_{0}^{2} {(4 - x^{2})}^{2} d x$
23821	Simplify	eighth root of 81a^(4n)	$\sqrt[8]{81 a^{4 n}}$
23822	Solve for p	p = square root of 4p+8-3	$p = \sqrt{4 p + 8} - 3$
23823	Write in Standard Form	(x-2x^3+8-7x^2)-(8+5x-3x^3)	$(x - 2 x^{3} + 8 - 7 x^{2}) - (8 + 5 x - 3 x^{3})$
23824	Solve for m	1000=m^3	$1000 = m^{3}$
23825	Solve by Factoring	-12q=4q^2+8	$- 12 q = 4 q^{2} + 8$
23826	Find Amplitude, Period, and Phase Shift	f(x)=-5cos(x+2)-5	$f (x) = - 5 \cos (x + 2) - 5$
23827	Solve the Inequality for x	5(4x+3)>=9(x-2)-x	$5 (4 x + 3) \geq 9 (x - 2) - x$
23828	Add	(-3x+5x^4-7)+(7x^4-5-7x)	$(- 3 x + 5 x^{4} - 7) + (7 x^{4} - 5 - 7 x)$
23829	Simplify	5 square root of 4a^2*3 square root of 25a	$5 \sqrt{4 a^{2}} \cdot 3 \sqrt{25 a}$
23830	Solve for m	4m^2-21m+10=-5m^2	$4 m^{2} - 21 m + 10 = - 5 m^{2}$
23831	Write with Rational (Fractional) Exponents	( cube root of 7^2)/( square root of 7)	$\frac{\sqrt[3]{7^{2}}}{\sqrt{7}}$
23832	Solve by Factoring	2x^6-10x^4-48x^2=0	$2 x^{6} - 10 x^{4} - 48 x^{2} = 0$
23833	Solve the System of Equations	-x+y-3z=-4 3x-2y+8z=14 2x-2y+5z=7	$- x + y - 3 z = - 4$ $3 x - 2 y + 8 z = 14$ $2 x - 2 y + 5 z = 7$
23834	Evaluate	-3/5(-1 1/3)	$- \frac{3}{5} (- 1 \frac{1}{3})$
23835	Solve by Substitution	n=3m-11 2m+3n=0	$n = 3 m - 11$ $2 m + 3 n = 0$
23836	Find dy/dx	(x^2+y^2)^4=3y^3	${(x^{2} + y^{2})}^{4} = 3 y^{3}$
23837	Solve the Function Operation	f(x)=x^2+4x-14 g(x)=-x+4 Find: f(g(x))	$f (x) = x^{2} + 4 x - 14$ $g (x) = - x + 4$ Find: $f (g (x))$
23838	Solve for b	2/a+1/b=13/15	$\frac{2}{a} + \frac{1}{b} = \frac{13}{15}$
23839	Simplify	a+2b+a-b	$a + 2 b + a - b$
23840	Solve by Substitution	y-x=2 y=-1/4x+7	$y - x = 2$ $y = - \frac{1}{4} x + 7$
23841	Find the Antiderivative	x/(2x-1)	$\frac{x}{2 x - 1}$
23842	Graph	y<13 square root of 9x-9+7	$y < 13 \sqrt{9 x - 9} + 7$
23843	Evaluate the Integral	integral of ( cube root of x^4)/3 with respect to x	$\int \frac{\sqrt[3]{x^{4}}}{3} d x$
23844	Simplify the Radical Expression	sixth root of x* fourth root of y^3	$\sqrt[6]{x} \cdot \sqrt[4]{y^{3}}$
23845	Solve for w	8(2w-6)+4(-1-5w)=0	$8 (2 w - 6) + 4 (- 1 - 5 w) = 0$
23846	Find the LCM	5 and 7	$5$ and $7$
23847	Write in Standard Form	(3+x)(2x-5)	$(3 + x) (2 x - 5)$
23848	Simplify	1/(x^3)-x	$\frac{1}{x^{3}} - x$
23849	Solve the System of Equations	11x-y=3 y=11x	$11 x - y = 3$ $y = 11 x$
23850	Simplify	8(5x-9)+4x(x-2)	$8 (5 x - 9) + 4 x (x - 2)$
23851	Convert to a Decimal	-165deg	$- 165$ degrees
23852	Solve for s	square root of s^3=-4	$\sqrt{s^{3}} = - 4$
23853	Solve the System of Inequalities	-4x-4<=0 or 4x-4<=5	$- 4 x - 4 \leq 0$ or $4 x - 4 \leq 5$
23854	Evaluate	1 natural log of 1	$1 \ln (1)$
23855	Graph	(6,11) , (1,2) , (11,2)	$(6, 11)$ , $(1, 2)$ , $(11, 2)$
23856	Simplify the Radical Expression	5x square root of 12x^5	$5 x \sqrt{12 x^{5}}$
23857	Find the Sum of the Infinite Geometric Series	3+0.75+0.1875+0.046875+...	$3 + 0.75 + 0.1875 + 0.046875 + \dots$
23858	Write the Fraction in Simplest Form	2.35*2/3	$2.35 \cdot \frac{2}{3}$
23859	Write in Standard Form	-(3+i)(7-3i)	$- (3 + i) (7 - 3 i)$
23860	Evaluate	-2/(pi/2)	$- \frac{2}{\frac{π}{2}}$
23861	Evaluate	(6^2)/6*(6^12)/(6^8)	$\frac{6^{2}}{6} \cdot \frac{6^{12}}{6^{8}}$
23862	Find the Asymptotes	y=(x^3+3x^2-4x-12)/(x^2+8x+15)	$y = \frac{x^{3} + 3 x^{2} - 4 x - 12}{x^{2} + 8 x + 15}$
23863	Convert to a Decimal	200mi in 3hr	$200 miles$ in $3 hours$
23864	Solve the Inequality for m	60<=m/3	$60 \leq \frac{m}{3}$
23865	Determine if a Polynomial	(5np)/(n^2)-(2g)/h	$\frac{5 n p}{n^{2}} - \frac{2 g}{h}$
23866	Evaluate	45^45*15^15	$45^{45} \cdot 15^{15}$
23867	Find the Product	(7a^3-b)(49a^6+7a^3b+b^2)	$(7 a^{3} - b) (49 a^{6} + 7 a^{3} b + b^{2})$
23868	Solve for n	2=4/n+1/3	$2 = \frac{4}{n} + \frac{1}{3}$
23869	Find the Derivative - d/dx	cos(x^2+x)	$\cos (x^{2} + x)$
23870	Solve the System of Equations	2x-8y=7 x-6y-8=0	$2 x - 8 y = 7$ $x - 6 y - 8 = 0$
23871	Solve for k	\|1-4k\|>=-11	$\| 1 - 4 k \| \geq - 11$
23872	Solve for v	-3/(v-2)=-6/(2v-4)+1	$- \frac{3}{v - 2} = - \frac{6}{2 v - 4} + 1$
23873	Simplify	1/4(8mn)*(-6m^2n^2)	$\frac{1}{4} (8 m n) \cdot (- 6 m^{2} n^{2})$
23874	Find the Domain and Range	f(x)=-3/4 cube root of x+1	$f (x) = - \frac{3}{4} \sqrt[3]{x + 1}$
23875	Find the Derivative - d/dx	x+ square root of 1+x^2	$x + \sqrt{1 + x^{2}}$
23876	Find the x and y Intercepts	y=(x+2)(2x+1)(x+3)	$y = (x + 2) (2 x + 1) (x + 3)$
23877	Solve the Rational Equation for x	x- square root of x+10=2	$x - \sqrt{x + 10} = 2$
23878	Simplify the Radical Expression	( cube root of 4x^2)÷( cube root of x)	$\sqrt[3]{4 x^{2}} \div \sqrt[3]{x}$
23879	Evaluate the Integral	integral from -3 to 3 of [(18-x^2)-(x^2)] with respect to x	$\int_{- 3}^{3} [(18 - x^{2}) - (x^{2})] d x$
23880	Simplify	((x-y)/(a+b))÷((x^2-y^2)/(a^2-b^2))	$\frac{x - y}{a + b} \div \frac{x^{2} - y^{2}}{a^{2} - b^{2}}$
23881	Simplify	1/(3x)+1/(6x)-1/(x^2)	$\frac{1}{3 x} + \frac{1}{6 x} - \frac{1}{x^{2}}$
23882	Find Where Increasing/Decreasing	f(x)=-3/4 cube root of x+1	$f (x) = - \frac{3}{4} \sqrt[3]{x + 1}$
23883	Solve for x	(2x-3)/z=1/y	$\frac{2 x - 3}{z} = \frac{1}{y}$
23884	Factor	x^4-3x^3-4x^2-16x^2+48x+64	$x^{4} - 3 x^{3} - 4 x^{2} - 16 x^{2} + 48 x + 64$
23885	Evaluate	40% of 70	$40 %$ of $70$
23886	Solve for k	(1/4)^k=16^(-k-3)	${(\frac{1}{4})}^{k} = 16^{- k - 3}$
23887	Simplify	(3^2-4)/5	$\frac{(3^{2} - 4)}{5}$
23888	Solve the Inequality for x	4(2x+2)+12>100	$4 (2 x + 2) + 12 > 100$
23889	Find the Domain and Range	y=2-3csc(x)	$y = 2 - 3 \csc (x)$
23890	Simplify	5/t-2-3/t+1	$\frac{5}{t} - 2 - \frac{3}{t} + 1$
23891	Solve for b	2b+7=b+10	$2 b + 7 = b + 10$
23892	Evaluate	4(3-x)^(1/3)-5=3	$4 {(3 - x)}^{\frac{1}{3}} - 5 = 3$
23893	Solve for x	log base (4/3) of x=-2	$\log_{(\frac{4}{3})} (x) = - 2$
23894	Simplify the Radical Expression	3/(4+4 square root of 5)	$\frac{3}{4 + 4 \sqrt{5}}$
23895	Write the Fraction in Simplest Form	y-1-5/(y+3)	$y - 1 - \frac{5}{y + 3}$
23896	Solve by Factoring	x(x+6)=-8	$x (x + 6) = - 8$
23897	Evaluate the Function	f(-2)=1/(2^(x+2))+4	$f (- 2) = \frac{1}{2^{x + 2}} + 4$
23898	Solve the Inequality for x	1/(2x)+1/x>4	$\frac{1}{2 x} + \frac{1}{x} > 4$
23899	Solve for x	log base 7 of 2x^2-7- log base 7 of 3x+2=0	$\log_{7} (2 x^{2} - 7) - \log_{7} (3 x + 2) = 0$
23900	Simplify	( cube root of k^5)/( fifth root of k^8)	$\frac{\sqrt[3]{k^{5}}}{\sqrt[5]{k^{8}}}$