
-125, -35, -2, 0, 1
Factor 5*x**3 - 515*x**2 - 48320*x - 855040.
5*(x - 167)*(x + 32)**2
Factor -200*q**2 + 5020*q - 3416.
-4*(5*q - 122)*(10*q - 7)
Factor i**3/5 + 1389*i**2/5 + 96048*i - 1453248/5.
(i - 3)*(i + 696)**2/5
Determine u so that -2*u**3/3 + 166*u**2 - 650*u - 2450/3 = 0.
-1, 5, 245
Factor 5*v**3 + 102950*v**2 - 5*v - 102950.
5*(v - 1)*(v + 1)*(v + 20590)
Find u such that -4*u**3/3 + 109608*u**2 - 2252608812*u = 0.
0, 41103
Factor 2*u**2 - 480*u + 22072.
2*(u - 178)*(u - 62)
Factor 4*i**3 - 84520*i**2 + 446476900*i.
4*i*(i - 10565)**2
Factor -2*s**5/5 + 242*s**4 - 49200*s**3 + 3440000*s**2 - 16000000*s.
-2*s*(s - 200)**3*(s - 5)/5
Let 2*x**5 + 24*x**4 + 62*x**3 - 48*x**2 - 280*x - 192 = 0. What is x?
-8, -3, -2, -1, 2
Factor 1399467*r**2/5 + 540936*r/5 + 52272/5.
3*(683*r + 132)**2/5
Solve d**2/10 - 12253*d/5 - 9804 = 0 for d.
-4, 24510
Suppose 4*l**4 + 4664*l**3 + 4640*l**2 - 23288*l + 13980 = 0. What is l?
-1165, -3, 1
Factor h**3/6 + 89*h**2/6 + 773*h/3 - 576.
(h - 2)*(h + 27)*(h + 64)/6
Factor o**2/3 - 218*o/3 - 35256.
(o - 452)*(o + 234)/3
Find c, given that c**3 - 64*c**2 + 624*c = 0.
0, 12, 52
Factor -9*d**3 + 1326333*d**2 - 48865755135*d + 16288437675.
-3*(d - 73685)**2*(3*d - 1)
Suppose 2*v**4 - 21594*v**3 + 64746*v**2 + 194346*v - 582876 = 0. Calculate v.
-3, 3, 10794
Let 4*w**3/5 + 412*w**2/5 + 8108*w/5 + 1540 = 0. Calculate w.
-77, -25, -1
Suppose -2*h**3/7 - 67*h**2/7 - 215*h/7 - 150/7 = 0. What is h?
-30, -5/2, -1
What is k in 2*k**2/3 + 97480*k/3 + 97478/3 = 0?
-48739, -1
Factor -2*u**2 + 106*u + 609108.
-2*(u - 579)*(u + 526)
Determine n so that 2*n**4/17 + 348*n**3/17 + 18648*n**2/17 + 284752*n/17 = 0.
-74, -26, 0
Solve 9*v**2/4 - 1032*v - 1380 = 0.
-4/3, 460
Determine x, given that -3*x**5/2 + 18087*x**4/4 + 45255*x**3/4 + 15*x**2/4 - 45249*x/4 - 9051/2 = 0.
-2, -1, -1/2, 1, 3017
Factor 3*i**2/5 - 246138*i/5 - 492288/5.
3*(i - 82048)*(i + 2)/5
Factor -t**3/4 + 24725*t**2/4 - 148323*t/4 + 222471/4.
-(t - 24719)*(t - 3)**2/4
Solve -5*f**5 + 205*f**4 + 1625*f**3 + 2615*f**2 + 1200*f = 0 for f.
-5, -1, 0, 48
Let -2*l**4/7 + 22030*l**3/7 - 66078*l**2/7 + 66074*l/7 - 22024/7 = 0. Calculate l.
1, 11012
Find a such that a**2 + 36113*a - 72230 = 0.
-36115, 2
Find q, given that -2*q**3 - 14*q**2 + 106*q + 630 = 0.
-9, -5, 7
Factor 2*g**2/13 - 378*g/13 - 54720/13.
2*(g - 285)*(g + 96)/13
Determine a so that 3*a**2/8 + 231*a/8 - 24975/2 = 0.
-225, 148
What is a in -a**5/6 + 134*a**4 + 7342*a**3/3 + 15296*a**2 + 118240*a/3 + 35072 = 0?
-8, -4, -2, 822
Find k, given that k**3 - 1609*k**2 - 9*k + 14481 = 0.
-3, 3, 1609
What is c in 4*c**5/3 - 184*c**4/3 + 552*c**3 + 12224*c**2/3 - 28700*c/3 + 5000 = 0?
-6, 1, 25
Let -2*x**5/7 + 80*x**4 - 1988*x**3 - 4044184*x**2/7 + 8127886*x/7 - 4070344/7 = 0. Calculate x.
-68, 1, 173
Factor 13467*m**3 - 228336*m**2 - 788868*m - 624240.
3*(m - 20)*(67*m + 102)**2
Solve 627*z**4/5 + 1266*z**3/5 - 873*z**2 + 2424*z/5 + 48/5 = 0 for z.
-4, -4/209, 1
Factor -o**2/8 + 3744*o + 29953/8.
-(o - 29953)*(o + 1)/8
Find b such that -4*b**2 - 185784*b - 2157230916 = 0.
-23223
Let -y**2 + 420*y + 4300 = 0. What is y?
-10, 430
Factor m**5 - 48*m**4 - 547*m**3 - 1874*m**2 - 2304*m - 928.
(m - 58)*(m + 1)**2*(m + 4)**2
Factor r**2/3 - 9770*r/3 + 23863225/3.
(r - 4885)**2/3
Let -k**3/7 + 3914*k**2/7 + 7831*k/7 + 3916/7 = 0. Calculate k.
-1, 3916
Let -j**3/7 + 34129*j**2/7 - 272984*j/7 + 545936/7 = 0. Calculate j.
4, 34121
Factor 2*z**2 - 44590*z - 178392.
2*(z - 22299)*(z + 4)
Determine t, given that -3*t**3 + 411*t**2 - 12438*t + 60480 = 0.
6, 35, 96
Find g, given that -2*g**2/5 - 582*g/5 + 7272/5 = 0.
-303, 12
Factor -2*q**3/5 - 16*q**2 + 10*q + 400.
-2*(q - 5)*(q + 5)*(q + 40)/5
Let -2*a**5/3 - 25384*a**4/3 + 33852*a**3 - 152344*a**2/3 + 101566*a/3 - 8464 = 0. Calculate a.
-12696, 1
Find p, given that -5*p**3/2 - 455*p**2/2 + 4015*p + 4240 = 0.
-106, -1, 16
Factor -3*o**5 + 27*o**4 + 282*o**3 + 804*o**2 + 936*o + 384.
-3*(o - 16)*(o + 1)*(o + 2)**3
Factor 4*f**3/7 + 1186*f**2/7 - 594*f/7.
2*f*(f + 297)*(2*f - 1)/7
Factor 4*i**3 - 109584*i**2 - 219180*i - 109592.
4*(i - 27398)*(i + 1)**2
Factor j**2/9 - 762970*j/3 + 145530805225.
(j - 1144455)**2/9
Find p, given that 2*p**2/3 + 5914*p/3 - 83188/3 = 0.
-2971, 14
Factor h**2/5 - 4069*h/5 - 4890.
(h - 4075)*(h + 6)/5
Solve -20*a**4 - 61825*a**3 + 309745*a**2 + 371550*a = 0 for a.
-12385/4, -1, 0, 6
Let 90*v**4 + 2723*v**3 + 691*v**2 + 30*v = 0. What is v?
-30, -1/5, -1/18, 0
Factor 2*z**2/5 - 3351072*z/5 + 1403710443648/5.
2*(z - 837768)**2/5
What is n in 14*n**5 - 3650*n**4 - 1086*n**3 + 10978*n**2 - 4168*n - 2088 = 0?
-2, -2/7, 1, 261
Let -m**5 + 113*m**4 - 853*m**3 + 1371*m**2 - 630*m = 0. Calculate m.
0, 1, 6, 105
Find w such that 3*w**5/4 + 1455*w**4/4 - 21*w**3/4 - 10167*w**2/4 + 4365*w/2 = 0.
-485, -3, 0, 1, 2
Suppose z**4/3 + 475*z**3/3 - 3857*z**2/3 + 1127*z = 0. What is z?
-483, 0, 1, 7
Factor 2*y**3/5 - 9908*y**2/5 - 39656*y/5 - 39664/5.
2*(y - 4958)*(y + 2)**2/5
Find y such that -25*y**4 - 1115*y**3 - 8700*y**2 - 10340*y + 5600 = 0.
-35, -8, -2, 2/5
Let 3*b**5 + 906*b**4 + 28422*b**3 + 103800*b**2 + 125943*b + 49662 = 0. What is b?
-267, -31, -2, -1
Factor b**4/2 + 77*b**3 + 2409*b**2/2 + 5512*b + 4384.
(b + 1)*(b + 8)**2*(b + 137)/2
Suppose -44*y**4/3 + 2224*y**3 - 21556*y**2 - 185704*y/3 - 19552 = 0. Calculate y.
-2, -4/11, 13, 141
Factor -2*n**2 + 1518*n - 4536.
-2*(n - 756)*(n - 3)
Suppose 2*m**2/5 + 3006*m/5 + 3004/5 = 0. What is m?
-1502, -1
Determine g so that -131*g**3/5 + 7284*g**2 - 556*g/5 = 0.
0, 2/131, 278
Let -2*g**4/13 + 923042*g**3/13 - 142001396640*g**2/13 + 7281926286681600*g/13 - 7281784286208000/13 = 0. Calculate g.
1, 153840
Solve -2*y**5/5 + 98*y**4/5 - 312*y**3 + 9864*y**2/5 - 4320*y = 0.
0, 6, 12, 25
Factor -q**4/6 + 7*q**3/3 + 817*q**2/2.
-q**2*(q - 57)*(q + 43)/6
Determine u, given that -2*u**4/7 - 264*u**3/7 - 4698*u**2/7 - 3916*u/7 + 8880/7 = 0.
-111, -20, -2, 1
Factor 2*h**2/13 + 214*h/13 + 1940/13.
2*(h + 10)*(h + 97)/13
Let 3*f**2/2 + 14451*f/2 + 79299 = 0. What is f?
-4806, -11
Determine l, given that -4*l**5 - 32*l**4 + 92*l**3 + 120*l**2 = 0.
-10, -1, 0, 3
Suppose -u**2/6 - 12215*u/3 - 149206225/6 = 0. What is u?
-12215
Factor 5*q**2 + 15735*q - 189540.
5*(q - 12)*(q + 3159)
Factor 2*v**3 + 231*v**2 + 1204*v - 660.
(v + 6)*(v + 110)*(2*v - 1)
Suppose -4*m**2/3 - 3331628*m/3 - 3331624/3 = 0. What is m?
-832906, -1
Determine n, given that -n**3/3 + 9343*n**2/3 - 21780808*n/3 - 65594928 = 0.
-9, 4676
Solve -m**2/7 - 2141*m/7 - 2140/7 = 0 for m.
-2140, -1
Factor z**2/5 - 75377*z/5 - 75378/5.
(z - 75378)*(z + 1)/5
Factor 2*m**3/3 - 28*m**2 + 206*m + 3944/3.
2*(m - 29)*(m - 17)*(m + 4)/3
Suppose -2*q**2/11 - 928*q/11 + 5640/11 = 0. Calculate q.
-470, 6
Suppose s**5/6 + 295*s**4/2 + 1751*s**3/6 - 4415*s**2/2 = 0. What is s?
-883, -5, 0, 3
Factor -3*y**5/2 - 4188*y**4 + 12573*y**3 - 12576*y**2 + 8385*y/2.
-3*y*(y - 1)**3*(y + 2795)/2
Let 3*q**4/8 + 609*q**3/8 + 4371*q**2 + 99405*q/2 = 0. What is q?
-94, -15, 0
Factor -3*h**2 - 111486*h + 111489.
-3*(h - 1)*(h + 37163)
Factor 2*h**3/17 - 789032*h**2/17 - 185656*h - 3156160/17.
2*(h - 394520)*(h + 2)**2/17
Suppose -2*z**2/9 - 4*z/9 + 10366/9 = 0. Calculate z.
-73, 71
Suppose 2*o**2 - 2628*o - 10544 = 0. Calculate o.
-4, 1318
Solve 5*t**4 - 8498*t**3 + 3583465*t**2 + 23263016*t + 8731308 = 0.
-6, -2/5, 853
Find s such that 30*s**5 - 6236*s**4 + 329828*s**3 - 598632*s**2 + 232574*s + 42436 = 0.
-2/15, 1, 103
Factor 36*g**4 - 312*g**3 + 676*g**2.
4*g**2*(3*g - 13)**2
Solve -l**4/8 + 618*l**3 - 771228*l**2 + 18243360*l - 108928800 = 0 for l.
12, 2460
Let 3*r**5 - 20584*r**4 + 35342659*r**3 - 117278682*r**2 - 517189212*r - 282192984 = 0. Calculate r.
-2, -2/3, 6, 3429
Factor 40*s**2/7 + 2676*s/7 + 5192/7.
4*(s + 2)*(10*s + 649)/7
Factor -3*x**3 - 696*x**2 - 2067*x - 1374.
-3*(x + 1)*(x + 2)*(x + 229)
Factor -f**3/5 - 1972*f**2/5 - 2361*f - 17694/5.
-(f + 3)**2*(f + 1966)/5
Let -23*i**5/5 - 1919*i**4 - 30303*i**3/5 - 33569*i**2/5 - 14494*i/5 - 1656/5 = 0. Calculate i.
-414, -1, -4/23
Find k, given that -5*k**4 - 204*k**3 + 823*k**2 + 5334*k + 4312 = 0.
-44, -14/5, -1, 7
Let -299972*n**3/7 - 1799824*n**2/7 + 48*n/7 = 0. What is n?
-6, 0, 2/74993
Factor -3*s**3 - 2091*s**2 - 144