Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
2601	Solve for x	natural log of x+ natural log of x+2=5	$\ln (x) + \ln (x + 2) = 5$
2602	Solve for x	natural log of 2-5x>2	$\ln (2 - 5 x) > 2$
2603	Solve for x	6+3\|10-4x\|<12	$6 + 3 \| 10 - 4 x \| < 12$
2604	Solve for x	6x-5<6/x	$6 x - 5 < \frac{6}{x}$
2605	Solve for x	3\|x-1\|+2=8	$3 \| x - 1 \| + 2 = 8$
2606	Solve for x	2sin(2x)sin(x-3)cos(x)=0	$2 \sin (2 x) \sin (x - 3) \cos (x) = 0$
2607	Solve for x	25e^x=1000	$25 e^{x} = 1000$
2608	Solve for x	2\|2x-7\|<14	$2 \| 2 x - 7 \| < 14$
2609	Solve for x	0=3^(2x+1)-70	$0 = 3^{2 x + 1} - 70$
2610	Solve for x	x^2-3x+c=0	$x^{2} - 3 x + c = 0$
2611	Solve for x	x^3-2x^2+4=3.6	$x^{3} - 2 x^{2} + 4 = 3.6$
2612	Solve for x	x^4-x^2-2=0	$x^{4} - x^{2} - 2 = 0$
2613	Solve for x	x^4-13x^2+40=0	$x^{4} - 13 x^{2} + 40 = 0$
2614	Solve for x	x^4>225x^2	$x^{4} > 225 x^{2}$
2615	Solve for x	(x-4)/(2x+4)=1	$\frac{x - 4}{2 x + 4} = 1$
2616	Solve for x	x/2+1/6=x/3	$\frac{x}{2} + \frac{1}{6} = \frac{x}{3}$
2617	Solve for x	x^2-16>0	$x^{2} - 16 > 0$
2618	Solve for x	29/x-2/x=3	$\frac{29}{x} - \frac{2}{x} = 3$
2619	Solve for x	(3x-1)/(x-2)=4	$\frac{3 x - 1}{x - 2} = 4$
2620	Solve for x	(3x-5)/(x-5)=0	$\frac{3 x - 5}{x - 5} = 0$
2621	Solve for x	e^(3x)>48	$e^{3 x} > 48$
2622	Simplify	cos(45)-tan(60)	$\cos (45) - \tan (60)$
2623	Simplify	cos(3x)-cos(5x)	$\cos (3 x) - \cos (5 x)$
2624	Simplify	3 square root of 28x-4 square root of 63x	$3 \sqrt{28 x} - 4 \sqrt{63 x}$
2625	Simplify	cos(160)cos(40)+sin(160)sin(40)	$\cos (160) \cos (40) + \sin (160) \sin (40)$
2626	Simplify	(\|1/x\|)/(1/x)	$\frac{\| \frac{1}{x} \|}{\frac{1}{x}}$
2627	Simplify	cos(225)-cos(30)	$\cos (225) - \cos (30)$
2628	Simplify	cos(2pi-a)	$\cos (2 π - a)$
2629	Simplify	cos(2x)cos(4x)	$\cos (2 x) \cos (4 x)$
2630	Simplify	(2x-5)/(1-x)	$\frac{2 x - 5}{1 - x}$
2631	Simplify	cos(x)(tan(x)cot(x))	$\cos (x) (\tan (x) \cot (x))$
2632	Simplify	cos(t)tan(t)	$\cos (t) \tan (t)$
2633	Simplify	cos(arcsin(1/9x))	$\cos (\arcsin (\frac{1}{9} x))$
2634	Simplify	cos(arcsin(1/2x))	$\cos (\arcsin (\frac{1}{2} x))$
2635	Simplify	cos(arcsin(1/3x))	$\cos (\arcsin (\frac{1}{3} x))$
2636	Simplify	b^8(2b)^5	$b^{8} {(2 b)}^{5}$
2637	Simplify	cos(arctan(4x))	$\cos (\arctan (4 x))$
2638	Simplify	cot(-pi/4)	$\cot (- \frac{π}{4})$
2639	Simplify	cot(pi/3)-cos(pi/6)	$\cot (\frac{π}{3}) - \cos (\frac{π}{6})$
2640	Simplify	cos(x)tan(x)-sin(x)cos(x)^2	$\cos (x) \tan (x) - \sin (x) \cos^{2} (x)$
2641	Simplify	csc(-t)tan(-t)	$\csc (- t) \tan (- t)$
2642	Simplify	(8x(x+6)^4-x^2*16(x+6)^3)/((x+6)^8)	$\frac{8 x {(x + 6)}^{4} - x^{2} \cdot 16 {(x + 6)}^{3}}{{(x + 6)}^{8}}$
2643	Simplify	(4/(x^2))^2	${(\frac{4}{x^{2}})}^{2}$
2644	Simplify	csc(A)-cos(A)cot(A)	$\csc (A) - \cos (A) \cot (A)$
2645	Simplify	csc((3pi)/2)	$\csc (\frac{3 π}{2})$
2646	Simplify	cot(x)(sec(x)-cos(x))	$\cot (x) (\sec (x) - \cos (x))$
2647	Simplify	cot(t)+tan(t)	$\cot (t) + \tan (t)$
2648	Simplify	cot(x)cos(x)	$\cot (x) \cos (x)$
2649	Simplify	cot(315)	$\cot (315)$
2650	Simplify	sin(30)+sin(150)+sin(210)+sin(330)	$\sin (30) + \sin (150) + \sin (210) + \sin (330)$
2651	Simplify	(2x^2-x+4)(x^2+3x+2)	$(2 x^{2} - x + 4) (x^{2} + 3 x + 2)$
2652	Simplify	\| square root of 3-3\|	$\| \sqrt{3} - 3 \|$
2653	Simplify	sin(35)cos(25)+cos(35)sin(25)	$\sin (35) \cos (25) + \cos (35) \sin (25)$
2654	Simplify	sin(2x)cos(3x)	$\sin (2 x) \cos (3 x)$
2655	Simplify	sin(2x)tan(x)	$\sin (2 x) \tan (x)$
2656	Simplify	sin(18)cos(27)+cos(18)sin(27)	$\sin (18) \cos (27) + \cos (18) \sin (27)$
2657	Simplify	sin(185)cos(65)-cos(185)sin(65)	$\sin (185) \cos (65) - \cos (185) \sin (65)$
2658	Simplify	(f-g)(x)	$(f - g) (x)$
2659	Simplify	(8w^2z^-2)^2(z^3)	${(8 w^{2} z^{- 2})}^{2} (z^{3})$
2660	Simplify	sin(t+6pi)csc(t-2pi)	$\sin (t + 6 π) \csc (t - 2 π)$
2661	Simplify	sin(x)cos(x)sec(x)cot(x)	$\sin (x) \cos (x) \sec (x) \cot (x)$
2662	Simplify	sin(5x)cos(2x)	$\sin (5 x) \cos (2 x)$
2663	Simplify	sin(6x)cos(5x)	$\sin (6 x) \cos (5 x)$
2664	Simplify	sin(70)cos(40)-cos(70)sin(40)	$\sin (70) \cos (40) - \cos (70) \sin (40)$
2665	Simplify	sin(arctan(x)+arccos(x))	$\sin (\arctan (x) + \arccos (x))$
2666	Simplify	sin(arccos(3x))	$\sin (\arccos (3 x))$
2667	Simplify	sin(9x)sin(3x)	$\sin (9 x) \sin (3 x)$
2668	Simplify	sin(9x)sin(5x)	$\sin (9 x) \sin (5 x)$
2669	Simplify	sin(90)+tan(45)	$\sin (90) + \tan (45)$
2670	Simplify	sin(9x)+sin(5x)	$\sin (9 x) + \sin (5 x)$
2671	Simplify	sec(a)csc(a)-tan(a)-cot(a)	$\sec (a) \csc (a) - \tan (a) - \cot (a)$
2672	Simplify	sec(120)	$\sec (120)$
2673	Simplify	sec(-135)	$\sec (- 135)$
2674	Simplify	sec(pi/6)-cos(pi/4)	$\sec (\frac{π}{6}) - \cos (\frac{π}{4})$
2675	Simplify	pi+arcsin(0.65)	$π + \arcsin (0.65)$
2676	Simplify	(6x(x+6)^4-x^2*12(x+6)^3)/((x+6)^8)	$\frac{6 x {(x + 6)}^{4} - x^{2} \cdot 12 {(x + 6)}^{3}}{{(x + 6)}^{8}}$
2677	Simplify	sin(pi/6+49000pi)	$\sin (\frac{π}{6} + 49000 π)$
2678	Simplify	sin(arcsec(4/x))	$\sin (arcsec (\frac{4}{x}))$
2679	Simplify	sin(pi/4)-sin(pi/4)	$\sin (\frac{π}{4}) - \sin (\frac{π}{4})$
2680	Simplify	sin(pi/3)cos(pi/4)-tan(pi/3)	$\sin (\frac{π}{3}) \cos (\frac{π}{4}) - \tan (\frac{π}{3})$
2681	Simplify	sin(pi/3)cos(pi/4)-tan(pi/4)	$\sin (\frac{π}{3}) \cos (\frac{π}{4}) - \tan (\frac{π}{4})$
2682	Simplify	sin(pi/5)cos(pi/11)+cos(pi/5)sin(pi/11)	$\sin (\frac{π}{5}) \cos (\frac{π}{11}) + \cos (\frac{π}{5}) \sin (\frac{π}{11})$
2683	Simplify	sin(pi/2)+cos(pi/2)	$\sin (\frac{π}{2}) + \cos (\frac{π}{2})$
2684	Simplify	sin((5pi)/12)cos((13pi)/12)-cos((5pi)/12)sin((13pi)/12)	$\sin (\frac{5 π}{12}) \cos (\frac{13 π}{12}) - \cos (\frac{5 π}{12}) \sin (\frac{13 π}{12})$
2685	Simplify	-7i(3i-5)	$- 7 i (3 i - 5)$
2686	Simplify	7(7x+1)+1	$7 (7 x + 1) + 1$
2687	Simplify	8-8	$8 - 8$
2688	Simplify	8sin(6x)cos(6x)	$8 \sin (6 x) \cos (6 x)$
2689	Simplify	6y^2(2y^4)^2	$6 y^{2} {(2 y^{4})}^{2}$
2690	Simplify	6i(1/6-i)	$6 i (\frac{1}{6} - i)$
2691	Simplify	cos(14)cos(16)-sin(14)sin(16)	$\cos (14) \cos (16) - \sin (14) \sin (16)$
2692	Simplify	cos(112)cos(45)+sin(112)sin(45)	$\cos (112) \cos (45) + \sin (112) \sin (45)$
2693	Simplify	cos(pi/4-x)	$\cos (\frac{π}{4} - x)$
2694	Simplify	cos(pi/5)cos(pi/7)+sin(pi/5)sin(pi/7)	$\cos (\frac{π}{5}) \cos (\frac{π}{7}) + \sin (\frac{π}{5}) \sin (\frac{π}{7})$
2695	Simplify	cos((7pi)/12)cos(pi/6)-sin((7pi)/12)sin(pi/6)	$\cos (\frac{7 π}{12}) \cos (\frac{π}{6}) - \sin (\frac{7 π}{12}) \sin (\frac{π}{6})$
2696	Simplify	cos((19pi)/12)	$\cos (\frac{19 π}{12})$
2697	Simplify	cos((10pi)/3)	$\cos (\frac{10 π}{3})$
2698	Simplify	square root of 36x+ square root of x^7	$\sqrt{36 x} + \sqrt{x^{7}}$
2699	Simplify	9i(-2i+9)	$9 i (- 2 i + 9)$
2700	Simplify	9sin(x)^4	$9 \sin^{4} (x)$