Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
3401	Factor	-4y^2+3xy-12y+9x	$- 4 y^{2} + 3 x y - 12 y + 9 x$
3402	Evaluate	(3^3)/9-(-4)^2	$\frac{3^{3}}{9} - {(- 4)}^{2}$
3403	Solve for x	\|3-2x\|-5x=3	$\| 3 - 2 x \| - 5 x = 3$
3404	Write in Slope-Intercept Form	x-y<=1	$x - y \leq 1$
3405	Find Where Increasing/Decreasing	-x^4+8x^3-18x^2	$- x^{4} + 8 x^{3} - 18 x^{2}$
3406	Simplify	(p^2-9p)/(p^2-4p-45)-2/(p+5)	$\frac{p^{2} - 9 p}{p^{2} - 4 p - 45} - \frac{2}{p + 5}$
3407	Solve for x	-4/9x-8=0	$- \frac{4}{9} x - 8 = 0$
3408	Find the Inverse	f(x)=2 cube root of 1/2(x-4)+3	$f (x) = 2 \sqrt[3]{\frac{1}{2} (x - 4)} + 3$
3409	Find Amplitude, Period, and Phase Shift	y=2sin(-3theta-pi/2)+2	$y = 2 \sin (- 3 θ - \frac{π}{2}) + 2$
3410	Find the Antiderivative	g(x)=x^2+2x-1	$g (x) = x^{2} + 2 x - 1$
3411	Simplify	(5^10)/(6^8)	$\frac{5^{10}}{6^{8}}$
3412	Solve the System of Equations	-6y+2=-4x y-2=x	$- 6 y + 2 = - 4 x$ $y - 2 = x$
3413	Solve for r	36/42=24/r	$\frac{36}{42} = \frac{24}{r}$
3414	Simplify	1/(a^2b^-3)(a^2b^-3)^-1	$\frac{1}{a^{2} b^{- 3}} {(a^{2} b^{- 3})}^{- 1}$
3415	Solve for x	(2x)/(2x+5)=4/5-7/(4x+10)	$\frac{2 x}{2 x + 5} = \frac{4}{5} - \frac{7}{4 x + 10}$
3416	Simplify	((x^2)/4-1/(x^2))^2	${(\frac{x^{2}}{4} - \frac{1}{x^{2}})}^{2}$
3417	Simplify	3x^3(2x^2-4x)+2x^2(4x^3+7x^2)	$3 x^{3} (2 x^{2} - 4 x) + 2 x^{2} (4 x^{3} + 7 x^{2})$
3418	Simplify	x^2(5x^3)^3	$x^{2} {(5 x^{3})}^{3}$
3419	Find Amplitude, Period, and Phase Shift	y=3cos(x/10-pi/12)	$y = 3 \cos (\frac{x}{10} - \frac{π}{12})$
3420	Graph	y-x>4 x+y>2	$y - x > 4$ $x + y > 2$
3421	Solve the System of Equations	y=5/2x-1 y=7/2x-3	$y = \frac{5}{2} x - 1$ $y = \frac{7}{2} x - 3$
3422	Find the Domain	(x^3+4x^2-12x)/(x^2+x-30)	$\frac{x^{3} + 4 x^{2} - 12 x}{x^{2} + x - 30}$
3423	Simplify	2/( square root of 6+2)	$\frac{2}{\sqrt{6 + 2}}$
3424	Find the x and y Intercepts	y=(x+4)(x+2)(x-1)(x-3)	$y = (x + 4) (x + 2) (x - 1) (x - 3)$
3425	Find the Maximum/Minimum Value	f(x)=-x^3+3x^2-3x+1	$f (x) = - x^{3} + 3 x^{2} - 3 x + 1$
3426	Multiply	cube root of x* square root of 2x	$\sqrt[3]{x} \cdot \sqrt{2 x}$
3427	Simplify	(6c^2+13c-63)/(6c^2-17c+7)*(2c^2-9c+4)/(12c+54)	$\frac{6 c^{2} + 13 c - 63}{6 c^{2} - 17 c + 7} \cdot \frac{2 c^{2} - 9 c + 4}{12 c + 54}$
3428	Evaluate	(14a^4b^6c^-10)/(8a^-2b^3c^-5)	$\frac{14 a^{4} b^{6} c^{- 10}}{8 a^{- 2} b^{3} c^{- 5}}$
3429	Solve for a	3 square root of 4a=42	$3 \sqrt{4 a} = 42$
3430	Evaluate	((3^6)/(3^5))^-2	${(\frac{3^{6}}{3^{5}})}^{- 2}$
3431	Evaluate Using the Given Value	(-m)^-3n if m=2 and n=-24	${(- m)}^{- 3} n$ if $m = 2$ and $n = - 24$
3432	Solve for y	y = square root of 1/4	$y = \sqrt{\frac{1}{4}}$
3433	Simplify	cube root of 5^2* square root of 5	$\sqrt[3]{5^{2}} \cdot \sqrt{5}$
3434	Simplify	((2a^0b^-4)/(b^3))^4*((a^3b^-2)/(3b^4a^-4))^3	${(\frac{2 a^{0} b^{- 4}}{b^{3}})}^{4} \cdot {(\frac{a^{3} b^{- 2}}{3 b^{4} a^{- 4}})}^{3}$
3435	Simplify	(4xy^2)^(1/2)	${(4 x y^{2})}^{\frac{1}{2}}$
3436	Solve for k	(7^4)^k=7^-8	${(7^{4})}^{k} = 7^{- 8}$
3437	Simplify	9x^4(x^3-6x)+4x^2(6x^5+5x^3)	$9 x^{4} (x^{3} - 6 x) + 4 x^{2} (6 x^{5} + 5 x^{3})$
3438	Simplify	(2ab-a)÷(4b^2-4b+1)	$(2 a b - a) \div (4 b^{2} - 4 b + 1)$
3439	Solve for x	5 sixth root of 10x+229-8=7	$5 \sqrt[6]{10 x + 229} - 8 = 7$
3440	Solve the System of Equations	y=5x y=4x-1	$y = 5 x$ $y = 4 x - 1$
3441	Simplify	(x^2-xy)/(5y^2-5xy)	$\frac{x^{2} - x y}{5 y^{2} - 5 x y}$
3442	Solve for x	(2x)^(1/2)=(x+5)^(1/2)	${(2 x)}^{\frac{1}{2}} = {(x + 5)}^{\frac{1}{2}}$
3443	Simplify	(2x-6)/(-14x+42)	$\frac{2 x - 6}{- 14 x + 42}$
3444	Simplify	(-a^6b)^2+9a^12b^2	${(- a^{6} b)}^{2} + 9 a^{12} b^{2}$
3445	Simplify	(27x^2z^4)/(-3x^2z)	$\frac{27 x^{2} z^{4}}{- 3 x^{2} z}$
3446	Find the Roots (Zeros)	(0.3x^2-3x)(5x^3-0.2x^2)=0	$(0.3 x^{2} - 3 x) (5 x^{3} - 0.2 x^{2}) = 0$
3447	Add	(8g^5-9g^3+7)+(4g^5+6g-4)	$(8 g^{5} - 9 g^{3} + 7) + (4 g^{5} + 6 g - 4)$
3448	Determine if Odd, Even, or Neither	f(x)=(2x^3)/(3x^7-2)	$f (x) = \frac{2 x^{3}}{3 x^{7} - 2}$
3449	Solve the Inequality for p	-1/3(p+9)<=4	$- \frac{1}{3} (p + 9) \leq 4$
3450	Factor	3x^2yz^3-9x^3y^2z^2+12x^2y^3z^2	$3 x^{2} y z^{3} - 9 x^{3} y^{2} z^{2} + 12 x^{2} y^{3} z^{2}$
3451	Solve for x	3(x-4)+2x=4(x-3)+x	$3 (x - 4) + 2 x = 4 (x - 3) + x$
3452	Find the Antiderivative	3x^2sin(x^3+2003)	$3 x^{2} \sin (x^{3} + 2003)$
3453	Simplify	((192x^12)/(3x^3))^(1/3)	${(\frac{192 x^{12}}{3 x^{3}})}^{\frac{1}{3}}$
3454	Simplify the Radical Expression	sixth root of 3^2	$\sqrt[6]{3^{2}}$
3455	Solve the Inequality for b	4b<=-3	$4 b \leq - 3$
3456	Find the Antiderivative	cube root of 2x	$\sqrt[3]{2 x}$
3457	Simplify	(2^-2-5^-1)^-1	${(2^{- 2} - 5^{- 1})}^{- 1}$
3458	Write in Exponential Form	( cube root of x^2y^3z^4)^2	${(\sqrt[3]{x^{2} y^{3} z^{4}})}^{2}$
3459	Find the Domain and Range	y=-(1/2)^(x+1)-3	$y = - {(\frac{1}{2})}^{x + 1} - 3$
3460	Simplify	x/(4x+20)-(x+2)/(x+5)	$\frac{x}{4 x + 20} - \frac{x + 2}{x + 5}$
3461	Evaluate the Integral	integral of (x^2+1)^3x^3 with respect to x	$\int {(x^{2} + 1)}^{3} x^{3} d x$
3462	Evaluate the Integral	integral from pi/3 to (2pi)/3 of csc(1/2t)^2 with respect to t	$\int_{\frac{π}{3}}^{\frac{2 π}{3}} \csc^{2} (\frac{1}{2} t) d t$
3463	Simplify	(z/(z^-6))^(1/28)	${(\frac{z}{z^{- 6}})}^{\frac{1}{28}}$
3464	Solve the Rational Equation for x	square root of 28-6x=x-6	$\sqrt{28 - 6 x} = x - 6$
3465	Simplify	13 square root of 5a-b square root of 5a+5a square root of 13b	$13 \sqrt{5 a} - b \sqrt{5 a} + 5 a \sqrt{13 b}$
3466	Solve for a	16536.94=1700.84(9.20)-1/2a*(9.20)^2	$16536.94 = 1700.84 (9.2) - \frac{1}{2} a \cdot {(9.2)}^{2}$
3467	Simplify	28/(9x)-19/(9x)	$\frac{28}{9 x} - \frac{19}{9 x}$
3468	Evaluate	5((5^3)/(2/5))^2	$5 {(\frac{5^{3}}{\frac{2}{5}})}^{2}$
3469	Simplify	(6x^7y^5)/(3x^-1)	$\frac{6 x^{7} y^{5}}{3 x^{- 1}}$
3470	Simplify	(x^(1/3)y)^3 square root of x^2y^2	${(x^{\frac{1}{3}} y)}^{3} \sqrt{x^{2} y^{2}}$
3471	Simplify	square root of cube root of 4x^2	$\sqrt{\sqrt[3]{4 x^{2}}}$
3472	Solve the System of Inequalities	10m-7<17m or -6m>36	$10 m - 7 < 17 m$ or $- 6 m > 36$
3473	Solve for x	3 cube root of x=9	$3 \sqrt[3]{x} = 9$
3474	Simplify	mn^2m^2n^-4mn^-1	$m n^{2} \cdot m^{2} n^{- 4} \cdot m n^{- 1}$
3475	Divide	(16x^3y^6-24x^5y^5)/(-4x^4y^3)	$\frac{16 x^{3} y^{6} - 24 x^{5} y^{5}}{- 4 x^{4} y^{3}}$
3476	Simplify the Radical Expression	(4x^6)^(3/2)	${(4 x^{6})}^{\frac{3}{2}}$
3477	Simplify	(2-4i)/(i-1)	$\frac{2 - 4 i}{i - 1}$
3478	Simplify	11/12+7/(4x)	$\frac{11}{12} + \frac{7}{4 x}$
3479	Simplify	(a^2-3ab+2b^2)+(-4a^2+5ab-b^2)	$(a^{2} - 3 a b + 2 b^{2}) + (- 4 a^{2} + 5 a b - b^{2})$
3480	Simplify	(x+(-2))(x+(-1))	$(x + (- 2)) (x + (- 1))$
3481	Solve for y	square root of y^2=2.3	$\sqrt{y^{2}} = 2.3$
3482	Find the Antiderivative	f(x)=1/(x^3)+2	$f (x) = \frac{1}{x^{3}} + 2$
3483	Solve for x	csc(x)^2+csc(x)=2	$\csc^{2} (x) + \csc (x) = 2$
3484	Find the Roots (Zeros)	6- square root of x-2=x+4	$6 - \sqrt{x - 2} = x + 4$
3485	Simplify	(( square root of 6-i square root of 3)/3)(( square root of 6+i square root of 3)/3)	$(\frac{\sqrt{6} - i \sqrt{3}}{3}) (\frac{\sqrt{6} + i \sqrt{3}}{3})$
3486	Add	1/6+1/6+1/3+1/6+1/6	$\frac{1}{6} + \frac{1}{6} + \frac{1}{3} + \frac{1}{6} + \frac{1}{6}$
3487	Find the Exact Value	(-2)^-3-24	${(- 2)}^{- 3} - 24$
3488	Simplify	(8a^3-1/27)/((2a-1/3)^2)	$\frac{8 a^{3} - \frac{1}{27}}{{(2 a - \frac{1}{3})}^{2}}$
3489	Combine Like Terms	(-6x^2-3x-1)-(x+8)	$(- 6 x^{2} - 3 x - 1) - (x + 8)$
3490	Simplify the Radical Expression	x^2 square root of 75- square root of 12x^4	$x^{2} \sqrt{75} - \sqrt{12 x^{4}}$
3491	Graph	x^2+(y-3 square root of x^2)^2=1	$x^{2} + {(y - 3 \sqrt{x^{2}})}^{2} = 1$
3492	Solve for x	square root of x=3 square root of 7	$\sqrt{x} = 3 \sqrt{7}$
3493	Solve the Inequality for x	x^2+3<=4x	$x^{2} + 3 \leq 4 x$
3494	Solve for b	(2x+1)/((x+2)(x-3))=a/(x+2)+b/(x-3)	$\frac{2 x + 1}{(x + 2) (x - 3)} = \frac{a}{x + 2} + \frac{b}{x - 3}$
3495	Find the x and y Intercepts	y=-(x+3)(x+1)^2(2x-5)	$y = - (x + 3) {(x + 1)}^{2} (2 x - 5)$
3496	Multiply	(1+i)(2+i)	$(1 + i) (2 + i)$
3497	Simplify	(tan(theta)^2-sec(theta)^2)(sin(theta)^2+cos(theta)^2)	$(\tan^{2} (θ) - \sec^{2} (θ)) (\sin^{2} (θ) + \cos^{2} (θ))$
3498	Solve the Inequality for w	7w>-49	$7 w > - 49$
3499	Multiply	(4-x)(2x+7)	$(4 - x) (2 x + 7)$
3500	Solve for h	square root of 3h=3	$\sqrt{3 h} = 3$