20329*h**2/4 + 345814*h + 354025 = 0.
-119, -2, 25
Let 2*c**3/13 + 490068*c**2/13 + 30020830578*c/13 = 0. Calculate c.
-122517, 0
Factor -2*t**2 - 1862*t - 39996.
-2*(t + 22)*(t + 909)
Let -4*g**4 - 1360*g**3 - 120848*g**2 - 881792*g = 0. What is g?
-166, -8, 0
Factor -3*m**3 + 9921*m**2 + 3*m - 9921.
-3*(m - 3307)*(m - 1)*(m + 1)
Let u**2 + 26629*u - 26630 = 0. Calculate u.
-26630, 1
Factor -2*k**2/5 - 58960*k - 2172676000.
-2*(k + 73700)**2/5
Let -35736484*f**2 - 191296*f - 256 = 0. What is f?
-8/2989
Factor 2*h**3/5 + 17612*h**2/5 + 88018*h/5 + 70408/5.
2*(h + 1)*(h + 4)*(h + 8801)/5
What is p in -p**3/2 - 774*p**2 + 3099*p/2 - 775 = 0?
-1550, 1
Factor -2*g**2/13 + 2050*g/13 - 6132/13.
-2*(g - 1022)*(g - 3)/13
Find v such that v**2/7 + 66756*v/7 + 66755/7 = 0.
-66755, -1
Find m such that -508*m**2/5 - 3856*m + 8320 = 0.
-40, 260/127
Factor s**3/3 - 394280*s**2/3.
s**2*(s - 394280)/3
Factor 10*o**2 - 2965*o - 7475.
5*(o - 299)*(2*o + 5)
Let 5*s**5 - 1365*s**4 + 89625*s**3 + 491365*s**2 - 579630*s = 0. Calculate s.
-6, 0, 1, 139
Determine j so that j**2 + 65286*j + 130568 = 0.
-65284, -2
What is p in 5*p**3 - 4335*p**2 + 359775*p - 7867125 = 0?
45, 777
Factor -2*b**3/5 - 1458*b**2/25 + 292*b/25.
-2*b*(b + 146)*(5*b - 1)/25
Let -l**2/3 - 55226*l/3 + 18409 = 0. What is l?
-55227, 1
Solve c**4 - 19*c**3 + 28*c**2 + 624*c + 576 = 0 for c.
-4, -1, 12
Factor -68*k**5 + 160*k**4 - 48*k**3.
-4*k**3*(k - 2)*(17*k - 6)
Let w**3/8 - 93*w**2/8 + 85*w = 0. Calculate w.
0, 8, 85
What is w in w**3/7 - 3695*w**2/7 - 40736*w/7 - 111180/7 = 0?
-6, -5, 3706
Suppose -2*y**4/5 + 312*y**3/5 - 1822*y**2/5 + 3312*y/5 - 360 = 0. What is y?
1, 2, 3, 150
Suppose -w**3/2 + 5*w**2/2 + 437*w + 3080 = 0. Calculate w.
-22, -8, 35
Factor -12*r**2/5 - 519*r + 66033/5.
-3*(r - 23)*(4*r + 957)/5
Solve -h**4/2 + 131*h**3/2 - 2239*h**2/2 + 2109*h/2 = 0.
0, 1, 19, 111
Solve 12*y**4 - 1064*y**3 + 18844*y**2 + 6400*y = 0 for y.
-1/3, 0, 25, 64
Factor 2*p**2/9 - 244*p/3 - 1472/9.
2*(p - 368)*(p + 2)/9
Factor -q**3 + 567*q**2 - 25899*q + 25333.
-(q - 517)*(q - 49)*(q - 1)
Find u, given that u**2 - 3624*u + 50540 = 0.
14, 3610
Let -l**3/2 + 150037*l**2/2 - 2813925180*l + 2813850162 = 0. What is l?
1, 75018
Factor 3*l**3 + 861*l**2 - 864*l.
3*l*(l - 1)*(l + 288)
Find j, given that 2*j**2/9 + 202556*j/9 + 202550/3 = 0.
-101275, -3
Determine p so that -2*p**2/7 - 47900*p/7 - 239450/7 = 0.
-23945, -5
Let -2*a**2 + 94*a + 1560 = 0. Calculate a.
-13, 60
Factor -3*s**2 - 7098*s - 28344.
-3*(s + 4)*(s + 2362)
Factor -2*j**3/5 - 1623*j**2/5 + 7349*j/5 + 816.
-(j - 5)*(j + 816)*(2*j + 1)/5
Factor -g**4 - 436*g**3 - 1301*g**2 - 866*g.
-g*(g + 1)*(g + 2)*(g + 433)
Suppose -2*z**5 + 1068*z**4 - 88784*z**3 - 1068*z**2 + 88786*z = 0. What is z?
-1, 0, 1, 103, 431
Suppose 28*k**2/3 - 3800*k + 12992/3 = 0. What is k?
8/7, 406
Determine l, given that -2*l**4 - 10*l**3 + 10428*l**2 - 230328*l - 1756944 = 0.
-83, -6, 42
What is u in u**2 - 49084*u + 602309764 = 0?
24542
Suppose 14*a**4 - 112458*a**3 - 144776*a**2 + 1317528*a + 385632 = 0. Calculate a.
-4, -2/7, 3, 8034
Solve -2*w**4/11 - 284*w**3/11 - 11746*w**2/11 - 110848*w/11 + 122880/11 = 0.
-64, -15, 1
Factor -3*f**4/7 + 6288*f**3 - 88023*f**2/7 + 44010*f/7.
-3*f*(f - 14670)*(f - 1)**2/7
Suppose 812*b**4/9 + 178*b**3/9 - 2240*b**2/9 + 1238*b/9 - 44/3 = 0. What is b?
-2, 1/7, 1/2, 33/29
Factor 4*y**2 + 10872*y + 129888.
4*(y + 12)*(y + 2706)
Factor -y**3/9 + 437*y**2/9 + 2882*y/3 + 912.
-(y - 456)*(y + 1)*(y + 18)/9
Solve 10*w**2 - 635*w - 4935 = 0 for w.
-7, 141/2
Factor 6*o**2/7 - 3344*o/7 - 2232/7.
2*(o - 558)*(3*o + 2)/7
Let 2*f**2 - 49162*f - 245860 = 0. What is f?
-5, 24586
Solve -4*b**3 - 1216*b**2 + 55040*b = 0.
-344, 0, 40
Solve -15*h**2 - 1079*h/4 + 9/2 = 0.
-18, 1/60
Factor -2*i**2 - 41008*i - 210207008.
-2*(i + 10252)**2
Factor -74386*r**2 - 12*r/11.
-2*r*(409123*r + 6)/11
Determine a, given that -a**2/9 + 14060*a/9 - 49420900/9 = 0.
7030
Let -2*p**5 - 1650*p**4 - 501628*p**3 - 66163612*p**2 - 3146264706*p + 3212931598 = 0. Calculate p.
-233, -127, 1
Let -x**2/3 + 455*x/3 + 1078 = 0. What is x?
-7, 462
Let 5*y**3 + 11857*y**2 + 158012*y + 61308 = 0. Calculate y.
-2358, -13, -2/5
Solve 4*s**4/7 - 204*s**3/7 - 132*s**2 + 2444*s/7 - 1320/7 = 0 for s.
-6, 1, 55
Determine s, given that s**5/2 - 71*s**4 + 6471*s**3/2 - 52499*s**2 + 170714*s - 121380 = 0.
1, 3, 34, 70
Suppose 3*x**2 - 307269*x = 0. Calculate x.
0, 102423
Find k such that 3*k**5 - 126*k**4 + 660*k**3 - 414*k**2 - 663*k + 540 = 0.
-1, 1, 5, 36
Factor 6*s**2 + 2829*s/4 - 6039/2.
3*(s + 122)*(8*s - 33)/4
Factor -3*g**3 + 3313806*g**2 - 915109183803*g.
-3*g*(g - 552301)**2
Solve -2*p**5 + 72*p**4 + 566*p**3 - 2292*p**2 - 13464*p + 15120 = 0.
-6, 1, 5, 42
Let -v**3/4 - 2087*v**2 - 8345*v - 8344 = 0. Calculate v.
-8344, -2
Determine k, given that -k**3/3 + 142*k**2/3 + 1087*k - 1134 = 0.
-21, 1, 162
Let 2*l**2 + 138*l - 7280 = 0. Calculate l.
-104, 35
Factor 10*b**4/7 + 121776*b**3/7 + 370710498*b**2/7 - 148303684*b/7.
2*b*(b + 6089)**2*(5*b - 2)/7
What is m in 2*m**3/5 + 10742*m**2 - 2*m/5 - 10742 = 0?
-26855, -1, 1
Factor -3*a**2 - 758772*a - 47977912332.
-3*(a + 126462)**2
Factor 12*n**3/17 + 8942*n**2 + 481409336*n/17 - 80239112/17.
2*(n + 6334)**2*(6*n - 1)/17
Determine t so that 2*t**3/3 + 5626*t**2/3 - 11258*t/3 + 5630/3 = 0.
-2815, 1
Find c, given that -2*c**2 - 12320*c - 18972800 = 0.
-3080
Find a such that -4256649049*a**3 - 8513037126*a**2 + 521940*a - 8 = 0.
-2, 2/65243
Factor 3*u**4/4 + 1815*u**3/4 + 19239*u**2/2.
3*u**2*(u + 22)*(u + 583)/4
Determine g, given that -g**5/5 - 121*g**4/5 - 640*g**3 + 28672*g**2/5 = 0.
-64, 0, 7
Determine x so that -9*x**5 - 111*x**4 + 5013*x**3 + 7011*x**2 - 8484*x - 3420 = 0.
-30, -2, -1/3, 1, 19
Solve -8*d**4/13 + 5154*d**3/13 - 420016*d**2/13 + 921594*d/13 - 204228/13 = 0 for d.
1/4, 2, 93, 549
Let 3*f**2/5 - 2007606*f/5 + 335873487603/5 = 0. Calculate f.
334601
Suppose -2*q**3/3 + 50*q**2/3 - 238*q/3 + 190/3 = 0. Calculate q.
1, 5, 19
Solve 2*l**4/5 - 143616*l**3/5 + 3437592576*l**2/5 - 27427405299712*l/5 = 0 for l.
0, 23936
Factor 10*g**3 + 1906*g**2 - 2684*g + 768.
2*(g - 1)*(g + 192)*(5*g - 2)
Factor -n**2/4 - 9249*n/4 + 9251/2.
-(n - 2)*(n + 9251)/4
Factor -4*i**3 - 1328*i**2 + 8140*i + 9464.
-4*(i - 7)*(i + 1)*(i + 338)
Suppose -m**5/3 - 28*m**4/3 - 52*m**3/3 + 650*m**2/3 + 1925*m/3 + 1250/3 = 0. What is m?
-25, -5, -2, -1, 5
Factor 3*h**3/5 + 252*h**2/5 + 447*h/5 - 738.
3*(h - 3)*(h + 5)*(h + 82)/5
Suppose 2*n**2/3 - 5746*n/3 + 60608 = 0. Calculate n.
32, 2841
Find f such that -100*f**5 - 1350*f**4 - 5454*f**3 - 6052*f**2 - 1992*f - 144 = 0.
-6, -1, -2/5, -1/10
Suppose -5*a**5 - 7242*a**4 - 24566*a**3 - 1428*a**2 + 24571*a + 8670 = 0. What is a?
-1445, -3, -1, -2/5, 1
Factor 5*w**3 + 28735*w**2 + 41241875*w - 123984375.
5*(w - 3)*(w + 2875)**2
Factor -5*h**2/3 + 971875*h - 2915620/3.
-5*(h - 583124)*(h - 1)/3
Solve -2*s**5 - 18*s**4 + 16*s**3 + 144*s**2 - 32*s - 288 = 0 for s.
-9, -2, 2
Determine z, given that z**2/3 + 263*z/3 + 430 = 0.
-258, -5
Factor -2*h**5/7 - 344*h**4 - 103544*h**3.
-2*h**3*(h + 602)**2/7
Factor -3*w**3 + 162*w**2 - 429*w - 1530.
-3*(w - 51)*(w - 5)*(w + 2)
Let 376*g**5/5 - 1467*g**4/5 + 1693*g**3/5 - 411*g**2/5 - 269*g/5 + 78/5 = 0. Calculate g.
-3/8, 13/47, 1, 2
What is x in 8*x**4/9 + 4860482*x**3/9 + 109371736080*x**2 + 66450056030166400*x/9 + 16612452486016000/9 = 0?
-202520, -1/4
Determine x, given that 3*x**2 - 381*x + 10956 = 0.
44, 83
Factor -5*n**3 + 190*n**2 + 8980*n + 17160.
-5*(n - 66)*(n + 2)*(n + 26)
Factor 100*g**3/3 + 2018*g**2/3 + 10360*g/3 + 600.
2*(g + 10)**2*(50*g + 9)/3
Suppose 5*l**3 + 1635*l**2 + 26430*l + 24800 = 0. Calculate l.
-310, -16, -1
Solve 4*q**3 - 25796*q**2 + 41576700*q + 41602500 = 0 for q.
-1, 3225
Suppose 4*u**5 - 144*u**4 + 68*u**3 + 24264*u**2 + 44928*u - 69120 = 0. What is u?
-10, -3, 1, 24
Factor -2*x**2/9 + 667004*x/9 - 55611792002/9.
-2*(x - 166751)**2/9
Factor -2*m**2/11 - 82472*m/11 - 850203848/11.
-2*(m + 20618)**2/11
Find k such that k**4/5 + 522*k**3/5 - 13787*k**2/5 - 12276*k - 63452/5 = 0.
-547, -2, 29
Determine q so that -3*q**3/5 + 4398*q**2/5 - 1616256*q/5 + 3214944/5 = 0.
2, 732
Determine g, given that 16*g**4/3 + 5682*g**3 + 91286*g**2/3 + 44532*g +