220 = 0.
7, 5730
Solve q**3 - 372*q**2 - 2308*q + 15120 = 0.
-10, 4, 378
Factor -10*k**4 + 66*k**3 - 116*k**2 + 48*k.
-2*k*(k - 4)*(k - 2)*(5*k - 3)
Factor -h**2/6 - 108*h + 8593/6.
-(h - 13)*(h + 661)/6
Factor 3*z**3/4 - 513*z**2 - 10323*z/4 - 2067.
3*(z - 689)*(z + 1)*(z + 4)/4
Suppose -12150*d**5/11 + 154170*d**4/11 - 178224*d**3/11 - 1882080*d**2/11 - 2575872*d/11 - 1038336/11 = 0. What is d?
-52/45, -1, 8
Determine j, given that -2*j**3 - 1824*j**2 = 0.
-912, 0
Factor -3*d**3/8 + 225*d**2/8 - 1371*d/4 + 315.
-3*(d - 60)*(d - 14)*(d - 1)/8
Find p, given that -2*p**5/21 + 2*p**4/3 + 368*p**3/21 - 1184*p**2/21 - 6656*p/7 - 6144/7 = 0.
-8, -1, 12
Factor -4*w**3 - 2100*w**2 - 22568*w + 24672.
-4*(w - 1)*(w + 12)*(w + 514)
Let 5*t**2 - 715*t - 9300 = 0. What is t?
-12, 155
Solve d**2/5 - 11952*d/5 + 35712576/5 = 0 for d.
5976
Let -n**4/3 - 104*n**3/3 - 127*n**2 + 1886*n/3 - 1400/3 = 0. Calculate n.
-100, -7, 1, 2
What is s in -s**3 - 440*s**2 + 8199*s - 20610 = 0?
-458, 3, 15
Solve -c**3 + 4228*c**2/3 + 3764*c + 5648/3 = 0.
-2, -2/3, 1412
Factor -t**3/4 + 1243*t**2/4 + 14559*t/2.
-t*(t - 1266)*(t + 23)/4
Determine z, given that 12*z**3 - 42796*z**2 - 28536*z = 0.
-2/3, 0, 3567
Solve -3*c**3 - 513*c**2 + 2088*c - 2100 = 0.
-175, 2
Suppose -49*p**4/3 + 17234*p**3/3 - 1547029*p**2/3 + 1856348*p - 1705548 = 0. What is p?
13/7, 174
Suppose 4*c**5 - 208*c**4 + 1672*c**3 + 5792*c**2 - 15788*c + 8528 = 0. What is c?
-4, 1, 13, 41
Determine t so that 2*t**2/7 - 26550*t/7 - 53108/7 = 0.
-2, 13277
Suppose -2*p**4/23 - 16*p**3/23 + 78*p**2/23 + 116*p/23 - 176/23 = 0. What is p?
-11, -2, 1, 4
Factor -447*k**3/4 + 4019*k**2/4 - 3111*k/2 - 14.
-(k - 7)*(k - 2)*(447*k + 4)/4
Factor 2*c**4/9 - 58*c**3/3 + 1820*c**2/3 - 71656*c/9 + 35152.
2*(c - 26)**3*(c - 9)/9
Solve 52*y**4 + 607168*y**3 + 2363222400*y**2 + 3066371918848*y + 943275332608 = 0 for y.
-3892, -4/13
Suppose 15*b**5/2 - 477*b**4/2 - 2301*b**3/2 + 909*b**2/2 + 4995*b + 972 = 0. Calculate b.
-3, -1/5, 2, 36
Find i such that 4*i**5/3 + 2800*i**4/3 + 1860*i**3 - 2800*i**2/3 - 5584*i/3 = 0.
-698, -2, -1, 0, 1
Factor 15*a**2 - 849699*a - 339882.
3*(a - 56647)*(5*a + 2)
Let 2*j**2 - 407176*j + 20724036872 = 0. Calculate j.
101794
Let -y**2 + 153833*y + 153834 = 0. What is y?
-1, 153834
Factor s**2/4 + 13109*s/4 - 13111/2.
(s - 2)*(s + 13111)/4
Factor 4*p**5 + 20*p**4 - 264*p**3.
4*p**3*(p - 6)*(p + 11)
Suppose -z**3/2 + 853*z**2/2 + 1284*z = 0. What is z?
-3, 0, 856
What is r in 15*r**5 + 18633*r**4 + 28885077*r**3/5 - 29817477*r**2/5 - 259971768*r/5 + 260810928/5 = 0?
-3108/5, -3, 1, 3
Factor -5*z**2 + 2680*z + 1066660.
-5*(z - 802)*(z + 266)
Factor 7482*g**2 + 8049*g - 141.
3*(43*g + 47)*(58*g - 1)
Solve -5*z**4 - 1375*z**3 - 10705*z**2 - 6605*z + 18690 = 0.
-267, -7, -2, 1
Factor 4*i**2/5 + 3624*i - 54396/5.
4*(i - 3)*(i + 4533)/5
Let a**5/3 - 128*a**4 + 39886*a**3/3 - 429488*a**2 + 2458801*a/3 - 403280 = 0. Calculate a.
1, 71, 240
Solve 44*y**5 - 12340*y**4 + 66384*y**3 - 105664*y**2 + 17408*y + 52800 = 0.
-6/11, 2, 275
Factor -a**3/2 - 2304*a**2 - 9210*a - 9208.
-(a + 2)**2*(a + 4604)/2
Find x such that 2*x**3 - 6142*x**2 + 36796*x - 49040 = 0.
2, 4, 3065
Factor 2*c**2/5 + 107856*c/5 + 107854/5.
2*(c + 1)*(c + 53927)/5
Solve -2*l**3 + 82*l**2 - 988*l + 3680 = 0 for l.
8, 10, 23
Solve -6*g**2/7 + 727212*g/7 - 22034887206/7 = 0.
60601
Let 5*o**4/4 - 185*o**3/2 - 5*o**2 + 370*o = 0. Calculate o.
-2, 0, 2, 74
Determine w, given that -27*w**2/4 + 8191*w/4 - 2041 = 0.
1, 8164/27
Let 4*y**3 - 635900*y**2 + 25274004448*y - 75816290352 = 0. What is y?
3, 79486
Factor -2*q**2 + 1436*q + 20496.
-2*(q - 732)*(q + 14)
Factor 9*m**3 - 157*m**2 - 94*m + 72.
(m - 18)*(m + 1)*(9*m - 4)
Suppose -v**3/7 - 894*v**2 + 25048*v/7 = 0. What is v?
-6262, 0, 4
Factor -2*n**3 + 75774*n**2 - 717826032*n + 2152796184.
-2*(n - 18942)**2*(n - 3)
Factor 24*q**4 + 1369*q**3 - 2775*q**2 - 118*q.
q*(q - 2)*(q + 59)*(24*q + 1)
Suppose s**5/6 + 17*s**4/3 + 83*s**3/6 - 155*s**2/3 = 0. What is s?
-31, -5, 0, 2
Factor j**3 - 460*j**2 + 13125*j - 96750.
(j - 430)*(j - 15)**2
Factor -h**2/7 + 93*h - 3080.
-(h - 616)*(h - 35)/7
Find h such that -2*h**4/9 - 76*h**3/9 - 74*h**2 - 896*h/9 + 5096/9 = 0.
-26, -7, 2
Solve 4*n**2/3 + 373468*n/3 = 0.
-93367, 0
Suppose -39*l**4 + 84*l**3 - 12*l**2 = 0. Calculate l.
0, 2/13, 2
Factor -s**2/8 - 8559*s/8 - 8555/2.
-(s + 4)*(s + 8555)/8
Find a, given that -2*a**3 - 46*a**2 + 1140*a = 0.
-38, 0, 15
Factor -5*a**5 - 27665*a**4 - 38226080*a**3 + 114927360*a**2.
-5*a**2*(a - 3)*(a + 2768)**2
Solve 2*u**4/7 + 2446*u**3/7 - 19654*u**2/7 + 51666*u/7 - 44316/7 = 0.
-1231, 2, 3
Suppose -55125*q**3 - 311325*q**2 + 399520*q + 3091740 = 0. What is q?
-454/105, 3
Determine v, given that 5*v**3 - 3155*v**2 - 31930*v - 76920 = 0.
-6, -4, 641
Factor -q**2/3 - 374*q + 29925.
-(q - 75)*(q + 1197)/3
Suppose 1280*l**3 - 3536*l**2 - 2028*l = 0. Calculate l.
-39/80, 0, 13/4
Determine b so that -44*b**2 - 2588*b + 82800 = 0.
-900/11, 23
Factor 4*u**3 - 2200*u**2 - 52308*u - 233784.
4*(u - 573)*(u + 6)*(u + 17)
Determine p so that -2*p**3/5 + 258*p**2/5 - 10998*p/5 + 30926 = 0.
35, 47
Suppose 2*k**5/3 + 6*k**4 - 34*k**3/3 - 46*k**2 + 32*k/3 + 40 = 0. What is k?
-10, -2, -1, 1, 3
What is w in -3*w**2 - 88428*w - 651625932 = 0?
-14738
Let -3*v**4/8 + 3*v**3 + 147*v**2/8 - 3*v - 18 = 0. Calculate v.
-4, -1, 1, 12
Factor -44*b**5 + 663952*b**4 - 3339598080*b**3 + 5598987966400*b**2 + 1018108216000*b.
-4*b*(b - 5030)**3*(11*b + 2)
Solve -2*z**4/7 - 786*z**3/7 + 2396*z**2/7 + 7920*z/7 = 0.
-396, -2, 0, 5
What is p in -p**4/4 + 131*p**3/4 - 381*p**2/2 + 377*p - 250 = 0?
2, 125
Factor -m**2/4 + 109*m/2 + 219/4.
-(m - 219)*(m + 1)/4
Let -2*a**2/17 + 1899136*a/17 - 450839693312/17 = 0. Calculate a.
474784
Let a**2 - 14076*a = 0. Calculate a.
0, 14076
Factor c**2/4 + 1191*c/4 - 31671/2.
(c - 51)*(c + 1242)/4
Factor 4*v**3 + 42104*v**2 - 42116*v - 84216.
4*(v - 2)*(v + 1)*(v + 10527)
Factor i**2/2 - 8109*i - 32444.
(i - 16222)*(i + 4)/2
What is h in 4*h**2 - 219013*h + 54753 = 0?
1/4, 54753
What is f in -2*f**4/3 - 212*f**3 - 19734*f**2 - 457920*f - 3110400 = 0?
-144, -15
Factor -4*i**4 - 604*i**3 - 16872*i**2.
-4*i**2*(i + 37)*(i + 114)
Factor -4*s**3/9 + 200*s**2/9 - 212*s/9 - 16544/9.
-4*(s - 47)*(s - 11)*(s + 8)/9
Find w such that -4*w**2 + 14216120*w - 12631129240900 = 0.
1777015
Factor -u**4 - 1708*u**3 + 1710*u**2 + 1708*u - 1709.
-(u - 1)**2*(u + 1)*(u + 1709)
Let 31*u**5/4 + 4401*u**4/2 - 18331*u**3/4 - 3829*u**2/2 + 4575*u - 286 = 0. What is u?
-286, -1, 2/31, 1, 2
Let 15*h**2/2 - 37497*h/4 - 19719 = 0. What is h?
-21/10, 1252
Factor 3*m**3 - 1368*m**2 - 1371*m.
3*m*(m - 457)*(m + 1)
Factor 4*n**2/7 - 3466*n/7 + 1732/7.
2*(n - 866)*(2*n - 1)/7
Determine l so that l**4/3 - 3304*l**3/3 + 3299*l**2/3 + 13216*l/3 - 4404 = 0.
-2, 1, 2, 3303
Let b**4/2 - 218*b**3 + 19995*b**2/2 - 69644*b + 132440 = 0. What is b?
4, 43, 385
What is o in 2*o**3 - 5980*o**2 + 11952*o = 0?
0, 2, 2988
Find t such that 5*t**3/4 - 6385*t**2/4 = 0.
0, 1277
Find u such that 3*u**2 + 87591*u - 613284 = 0.
-29204, 7
Factor -2*x**2/7 + 50712*x/7 - 405568/7.
-2*(x - 25348)*(x - 8)/7
Factor -3*k**3 + 1254*k**2 + 16773*k + 15516.
-3*(k - 431)*(k + 1)*(k + 12)
Factor -2*k**3/7 - 10484*k**2/7 - 10482*k/7.
-2*k*(k + 1)*(k + 5241)/7
Solve 52*o**4 + 125942*o**3 - 4844*o**2 = 0 for o.
-2422, 0, 1/26
Let 9*r**4/4 - 5051*r**3/4 + 350805*r**2/2 + 497871*r - 119286 = 0. What is r?
-3, 2/9, 282
Let -t**4/4 - 971*t**3/2 - 954385*t**2/4 - 2793675*t = 0. Calculate t.
-965, -12, 0
Factor l**4/2 + 1254*l**3 + 791258*l**2 + 6270000*l + 12500000.
(l + 4)**2*(l + 1250)**2/2
Suppose 2*a**4 - 1020*a**3 + 135050*a**2 - 1275000*a + 3125000 = 0. What is a?
5, 250
Factor 2*k**2 + 67690*k.
2*k*(k + 33845)
Factor k**4 - 15950*k**3 + 63600625*k**2.
k**2*(k - 7975)**2
Suppose -r**5/2 - 243*r**4/2 + 993*r**3 - 2749*r**2 + 6015*r/2 - 2259/2 = 0. What is r?
-251, 1, 3
Suppose 2*m**2/7 - 112934*m/7 + 112932/7 = 0. What is m?
1, 56466
Solve 2*m**4 - 4628*m**3 + 2663376*m**2 + 16110080*m + 21529600 = 0 for m.
-4, -2, 1160
Solve 6*v**3/7 + 4862*v**2/7 + 985770*v/7 + 328050/7 = 0.
-405, -1/3
Let -b**3/4 + 33515*b**2/4 + 50277*b/2 = 0. Calculate b.
-3, 0, 33518
Factor -g**3 - 24448*g**2 + 48899*g - 24