4/145, 38/7
Factor 3*q**2 - 11163*q - 156870.
3*(q - 3735)*(q + 14)
Factor r**4/3 + 1655*r**3/3 + 680594*r**2/3 - 3454460*r/3 - 1377800.
(r - 6)*(r + 1)*(r + 830)**2/3
Factor u**2 + 50051*u.
u*(u + 50051)
Suppose -d**5/10 + 8097*d**4/10 - 6475*d**3/2 + 24279*d**2/10 = 0. What is d?
0, 1, 3, 8093
Factor 5*r**2 - 155*r + 1190.
5*(r - 17)*(r - 14)
Factor 229*v**2 + 2518*v - 11.
(v + 11)*(229*v - 1)
Let t**3/4 + 83*t**2/2 + 4991*t/4 + 2413/2 = 0. What is t?
-127, -38, -1
Suppose -117*o**5/7 + 696*o**4/7 + 10683*o**3/7 + 78*o**2 = 0. What is o?
-7, -2/39, 0, 13
Solve -i**2/7 + 2183*i/7 - 6540/7 = 0.
3, 2180
Let 4*p**3/9 - 8320*p**2 + 116837756*p/3 - 700727048/9 = 0. What is p?
2, 9359
Let 2592*f**3/5 - 560592*f**2/5 + 31114*f - 2160 = 0. Calculate f.
5/36, 216
Suppose 3*v**3 + 17697*v**2 + 26125176*v + 78216336 = 0. Calculate v.
-2948, -3
Let -2*r**3/13 + 290734*r**2/13 + 581474*r/13 + 290738/13 = 0. Calculate r.
-1, 145369
Determine c, given that 2*c**2/5 - 8996*c/5 + 365474/5 = 0.
41, 4457
Factor 2*s**3/9 - 6268*s**2/9 + 1587880*s/3 + 25842800.
2*(s - 1590)**2*(s + 46)/9
Factor -2*v**3/3 + 550*v**2/3 + 1108*v/3.
-2*v*(v - 277)*(v + 2)/3
What is b in 2*b**2/9 + 704*b/9 + 17290/3 = 0?
-247, -105
Factor -21*v**3 + 1069917*v**2 - 13627876728*v + 5840322084.
-3*(v - 25474)**2*(7*v - 3)
Find n, given that 3*n**5 + 936*n**4 + 20301*n**3 + 103608*n**2 - 124848*n = 0.
-289, -12, 0, 1
Determine i, given that -i**5/2 + 14*i**4 + 1197*i**3/2 - 612*i**2 = 0.
-24, 0, 1, 51
Factor -215*j**2/2 - 33855*j + 4725/2.
-5*(j + 315)*(43*j - 3)/2
Let -456*o**2 - 16869*o + 111 = 0. Calculate o.
-37, 1/152
Factor -k**2 + 579*k - 75800.
-(k - 379)*(k - 200)
What is n in -5*n**4 + 3835*n**3 + 4005*n**2 - 127035*n + 241920 = 0?
-7, 3, 768
Determine r so that -4*r**5 + 552*r**4 + 784*r**3 - 31112*r**2 - 81420*r + 111200 = 0.
-5, 1, 8, 139
Factor -4*j**3 - 683808*j**2 - 1367604*j - 683800.
-4*(j + 1)**2*(j + 170950)
Suppose 2*a**4/3 + 1408*a**3 - 12708*a**2 + 38160*a - 38178 = 0. Calculate a.
-2121, 3
Factor c**3 - 124545*c**2 + 3877801983*c + 3877926529.
(c - 62273)**2*(c + 1)
Factor 4*i**3/9 + 26*i**2/3 - 214*i/9 + 44/3.
2*(i - 1)*(i + 22)*(2*i - 3)/9
Factor h**2/2 - 124*h + 7455/2.
(h - 213)*(h - 35)/2
What is l in 21*l**5 + 2085*l**4 - 8121*l**3 - 8601*l**2 + 37188*l + 11124 = 0?
-103, -2, -2/7, 3
Factor 6*a**2/7 + 22*a + 884/7.
2*(a + 17)*(3*a + 26)/7
Suppose -3*t**3 - 12*t**2 - 15*t - 6 = 0. Calculate t.
-2, -1
Let 2*i**3 - 316*i**2 + 2960*i = 0. What is i?
0, 10, 148
What is t in 3*t**3 + 1629*t**2 + 19224*t + 57348 = 0?
-531, -6
Solve 3075*x**3 + 110670*x**2 + 1017003*x + 380208 = 0 for x.
-89/5, -16/41
Suppose -8*d**3/11 + 2814*d**2/11 - 160576*d/11 - 40320/11 = 0. What is d?
-1/4, 72, 280
Factor -2*x**3/3 - 15666*x**2 - 92010330*x + 276172002.
-2*(x - 3)*(x + 11751)**2/3
What is m in -20*m**5 + 1948*m**4 - 44416*m**3 - 168544*m**2 + 974400*m - 360000 = 0?
-6, 2/5, 3, 50
Factor 65*b**2 + 311360*b + 47900.
5*(b + 4790)*(13*b + 2)
Factor 1670683876*v**2 + 4577888*v + 3136.
4*(20437*v + 28)**2
Solve 14*g**4 - 88638*g**3 - 63408*g**2 + 557240*g - 151968 = 0.
-3, 2/7, 2, 6332
Solve -3*s**2 + 2184*s - 12996 = 0.
6, 722
Let -2*a**2 + 123224*a - 246440 = 0. Calculate a.
2, 61610
Determine k, given that 5*k**4 + 8975*k**3 + 8960*k**2 - 17940*k = 0.
-1794, -2, 0, 1
Factor -l**2/6 - 130*l/3.
-l*(l + 260)/6
Solve -3*n**2/2 + 2327*n - 1551/2 = 0 for n.
1/3, 1551
Determine z so that 2*z**3/7 - 30070*z**2/7 + 16157250*z - 564752250/7 = 0.
5, 7515
What is k in -179*k**4/3 + 1802*k**3/3 + 18317*k**2/3 - 21284*k/3 + 448 = 0?
-7, 12/179, 1, 16
Factor s**2/8 - 13567*s/8.
s*(s - 13567)/8
Solve 24*f**5 - 7611*f**4 + 31119*f**3 - 41379*f**2 + 19725*f - 1878 = 0 for f.
1/8, 1, 2, 313
Factor 2*k**2/5 - 612*k/5 + 122.
2*(k - 305)*(k - 1)/5
Suppose -4*u**4/3 - 6608*u**3/3 - 1008384*u**2 + 18690048*u + 71271383040 = 0. Calculate u.
-624, 220
Suppose 122185*c**2 + 122160*c - 25 = 0. What is c?
-1, 5/24437
Suppose -2*t**5 - 17*t**4 + 276*t**3 - 274*t**2 - 922*t - 357 = 0. Calculate t.
-17, -1, -1/2, 3, 7
Solve -2*x**5/11 + 208*x**4/11 - 1736*x**3/11 + 2452*x**2/11 + 158*x - 2660/11 = 0 for x.
-1, 1, 2, 7, 95
Factor d**3/7 - 15324*d**2/7 - 30651*d/7 - 15326/7.
(d - 15326)*(d + 1)**2/7
Suppose -6*p**2 - 961904*p + 641272 = 0. What is p?
-160318, 2/3
Suppose -r**2 + 14766*r + 44307 = 0. What is r?
-3, 14769
What is r in -2*r**5 - 152*r**4 + 14*r**3 + 1076*r**2 + 912*r = 0?
-76, -2, -1, 0, 3
Factor -2*g**3/7 + 88*g**2/7 - 166*g/7 - 3280/7.
-2*(g - 41)*(g - 8)*(g + 5)/7
What is w in -3*w**3/2 + 185469*w**2/2 - 2865542145*w/2 - 31543409337/2 = 0?
-11, 30917
Determine i, given that 4*i**4 + 2144*i**3 - 12*i**2 - 6424*i + 4288 = 0.
-536, -2, 1
Factor -k**2/7 - 464*k/7 - 463/7.
-(k + 1)*(k + 463)/7
Solve 5*w**5/6 + 11075*w**4/6 - 1850*w**3 - 22150*w**2/3 + 22160*w/3 = 0 for w.
-2216, -2, 0, 1, 2
Find a, given that -4*a**4 - 1768*a**3 - 15648*a**2 - 25880*a + 43300 = 0.
-433, -5, 1
Suppose i**4/6 + 15668*i**3/3 - 10447*i**2/2 - 62672*i/3 + 62674/3 = 0. Calculate i.
-31337, -2, 1, 2
Let 2*x**3/5 - 912*x**2/5 = 0. Calculate x.
0, 456
Solve 4*h**3 - 144*h**2 + 1280*h = 0 for h.
0, 16, 20
Factor 2*s**2/15 - 814*s - 97808/15.
2*(s - 6113)*(s + 8)/15
Solve 3*g**3/5 - 2204784*g**2/5 + 405091578663*g/5 - 810174338214/5 = 0 for g.
2, 367463
Let 64*d**5 + 32*d**4 - 188*d**3 - 228*d**2 - 72*d = 0. Calculate d.
-1, -3/4, 0, 2
Factor 5*p**4 + 317065*p**3 + 5026669240*p**2 + 5026352180*p.
5*p*(p + 1)*(p + 31706)**2
Factor 5*m**4 + 1780635*m**3 + 10683690*m**2 + 21367300*m + 14244840.
5*(m + 2)**3*(m + 356121)
Factor r**3 - 3981*r**2 - 71901*r - 323919.
(r - 3999)*(r + 9)**2
Factor -5*t**2 - 936660*t + 936665.
-5*(t - 1)*(t + 187333)
Factor x**2 - 25233*x - 25234.
(x - 25234)*(x + 1)
Determine m, given that 3*m**5/7 - 390*m**4/7 + 5751*m**3/7 + 477132*m**2/7 + 1826796*m/7 + 1797408/7 = 0.
-24, -2, 79
Factor j**3/3 + 14744*j**2/3 + 54346384*j/3.
j*(j + 7372)**2/3
Factor -3*f**2 + 6594*f + 33045.
-3*(f - 2203)*(f + 5)
Solve m**5 + 35*m**4 + 112*m**3 - 436*m**2 - 2048*m - 1984 = 0.
-31, -4, -2, 4
Factor 2*z**2/5 - 3516*z/5 + 24122.
2*(z - 1723)*(z - 35)/5
Factor -f**3 - 18089*f**2 - 36175*f - 18087.
-(f + 1)**2*(f + 18087)
Factor -1372*p**3 + 4120*p**2 + 5476*p - 16.
-4*(p - 4)*(p + 1)*(343*p - 1)
Determine u so that -4*u**2 + 4116*u = 0.
0, 1029
Factor -2*q**3/15 + 238*q**2/3 - 81776*q/15 + 499624/5.
-2*(q - 519)*(q - 38)**2/15
Factor -2*m**4/9 - 776*m**3/9 + 3980*m**2/3 - 60200*m/9 + 100750/9.
-2*(m - 5)**3*(m + 403)/9
Factor 4*z**2/7 + 5968*z/7 + 98352.
4*(z + 126)*(z + 1366)/7
Find l, given that 10*l**2 - 9824*l + 3928 = 0.
2/5, 982
Let p**2 + 60614*p + 918514249 = 0. What is p?
-30307
Determine i, given that 99*i**3/5 + 8*i**2/5 - 313*i/5 + 206/5 = 0.
-206/99, 1
Factor 2*m**5/11 - 5506*m**4/11 + 5056340*m**3/11 - 1552286596*m**2/11 + 280856926*m - 1542190426/11.
2*(m - 917)**3*(m - 1)**2/11
Solve 20*z**4 + 6604*z**3/7 + 696*z**2/7 - 20144*z/7 + 7520/7 = 0.
-47, -2, 2/5, 10/7
Factor -4*t**3 - 91228*t**2 - 91216*t + 182448.
-4*(t - 1)*(t + 2)*(t + 22806)
Factor -128441*x**2 + 2944*x + 1.
-(43*x - 1)*(2987*x + 1)
Factor -j**4 + 182*j**3 + 739*j**2 + 928*j + 372.
-(j - 186)*(j + 1)**2*(j + 2)
Solve 5*q**5 - 1038*q**4 - 4664*q**3 = 0 for q.
-22/5, 0, 212
Factor 4*w**2/9 - 304*w/9 - 560.
4*(w - 90)*(w + 14)/9
Factor 4*l**3 - 88517*l**2 + 199145*l - 44254.
(l - 22127)*(l - 2)*(4*l - 1)
What is h in -h**3/3 + 5182*h**2/3 - 10357*h/3 - 5180 = 0?
-1, 3, 5180
Factor -383*q**2/3 - 4*q.
-q*(383*q + 12)/3
Determine z so that 2*z**3/3 - 1858*z**2/3 + 1856*z/3 = 0.
0, 1, 928
Determine g so that -2*g**4/13 - 19724*g**3/13 - 49740794*g**2/13 - 5479682232*g/13 - 154365682248/13 = 0.
-4874, -57
Solve -n**5/7 - 8*n**4/7 + 19*n**3/7 + 86*n**2/7 - 60*n/7 - 216/7 = 0 for n.
-9, -2, 2, 3
Suppose u**2/4 + 4057*u/4 = 0. What is u?
-4057, 0
Let 3*i**3 - 8052*i**2 + 5370540*i + 43481184 = 0. Calculate i.
-8, 1346
Determine z, given that 3*z**5 + 438*z**4 + 16842*z**3 + 62628*z**2 + 76467*z + 30246 = 0.
-71, -2, -1
Find g such that -g**2 + 5*g + 204 = 0.
-12, 17
Factor r**4 - 12887*r**3 - 25777*r**2 - 12889*r.
r*(r - 12889)*(r + 1)**2
Determine f so that 3*f**4 - 739761*f**3 + 2219265*f**2 - 2219259*f + 739752 = 0.
1, 246584
Suppose -a**4/9 + 2