x - 29)**2
Factor 5*v**2/6 - 275*v + 43215/2.
5*(v - 201)*(v - 129)/6
Let 12*g**5/7 - 142*g**4/7 - 914*g**3/7 - 224*g**2 - 808*g/7 = 0. What is g?
-2, -1, 0, 101/6
Find d, given that -4*d**2 - 316408*d - 6257126404 = 0.
-39551
Solve -156*y**5 + 5156*y**4 - 34272*y**3 - 138656*y**2 - 93888*y + 5184 = 0 for y.
-2, -1, 2/39, 18
What is v in -3*v**4 - 159*v**3 + 6693*v**2 - 35541*v + 50922 = 0?
-82, 3, 23
Find t such that 2*t**3/7 + 5762*t**2/7 + 1339260*t/7 = 0.
-2626, -255, 0
Determine p so that -2*p**2 + 49792*p = 0.
0, 24896
Determine c, given that 9*c**5 + 18561*c**4 - 12381*c**3 - 6189*c**2 = 0.
-2063, -1/3, 0, 1
Suppose 2*l**5/9 - 178*l**4/3 - 14314*l**3/9 - 27950*l**2/3 + 98696*l/9 = 0. Calculate l.
-13, 0, 1, 292
Solve -2*q**5/11 + 78*q**4 - 123054*q**3/11 + 6053326*q**2/11 - 22763952*q/11 + 22285368/11 = 0 for q.
2, 119, 153
Factor 2*y**5/5 + 5094*y**4 + 81102846*y**3/5 + 81077378*y**2/5.
2*y**2*(y + 1)*(y + 6367)**2/5
Suppose -b**2/5 - 1244*b/5 - 9888/5 = 0. Calculate b.
-1236, -8
Factor 56*o**2/11 - 8350*o/11 + 894/11.
2*(o - 149)*(28*o - 3)/11
Determine h so that 4*h**3/7 - 690*h**2/7 + 4194*h + 14852/7 = 0.
-1/2, 79, 94
Let -2288*p**4/7 + 81232*p**3/7 + 125556*p**2/7 + 5984*p - 148/7 = 0. Calculate p.
-1, -1/2, 1/286, 37
Factor 48*x**3 - 3749*x**2 + 7686*x - 760.
(x - 76)*(x - 2)*(48*x - 5)
Determine u, given that -3*u**4 - 66*u**3 - 333*u**2 + 66*u + 336 = 0.
-14, -8, -1, 1
Suppose -841*w**4 + 25984*w**3 - 185856*w**2 - 229376*w - 65536 = 0. Calculate w.
-16/29, 16
What is o in 2*o**4 - 13222*o**3 + 29715660*o**2 - 23927481032*o + 2753625557488 = 0?
137, 2158
Suppose 2*g**2/15 + 35176*g/15 + 154668872/15 = 0. Calculate g.
-8794
Suppose -168*b**5 + 9300692*b**4 - 171630393584*b**3 + 1055671305031296*b**2 + 779271295039552*b + 50276094725312 = 0. What is b?
-2/3, -1/14, 18454
Factor -2*t**5/7 + 512*t**4/7 - 26496*t**3/7.
-2*t**3*(t - 184)*(t - 72)/7
Determine g, given that -5*g**4 + 85*g**3 - 35*g**2 - 765*g + 720 = 0.
-3, 1, 3, 16
Factor -3*z**2/7 - 95631*z/7 + 109320.
-3*(z - 8)*(z + 31885)/7
Determine w, given that -5*w**2 + 261680*w = 0.
0, 52336
Find t such that 6*t**3/11 + 134*t**2/11 + 168*t/11 = 0.
-21, -4/3, 0
Suppose -5*b**3 + 615*b**2 - 18595*b - 19215 = 0. What is b?
-1, 61, 63
Factor a**4/2 + 79*a**3/2 + 114*a**2 - 2*a - 152.
(a - 1)*(a + 2)**2*(a + 76)/2
Determine h so that -h**3/9 - 101*h**2 + 2746*h/9 + 3040/3 = 0.
-912, -2, 5
Determine a, given that 2*a**5/7 + 60*a**4/7 - 10496*a**3/7 - 61004*a**2 + 10494*a/7 + 426968/7 = 0.
-53, -1, 1, 76
Factor -2*f**3 + 30*f**2 + 2216*f - 37944.
-2*(f - 31)*(f - 18)*(f + 34)
Find i, given that -2*i**2/5 + 1196816*i/5 - 179046067232/5 = 0.
299204
Suppose -2*y**5/7 + 1930*y**4/7 + 19434*y**3/7 + 64270*y**2/7 + 77968*y/7 + 31200/7 = 0. What is y?
-4, -1, 975
Find l, given that -5*l**3 - 23645*l**2 - 423895*l + 447545 = 0.
-4711, -19, 1
Determine u so that u**5 + 423*u**4 + 1680*u**3 + 1676*u**2 = 0.
-419, -2, 0
Suppose -2*s**3/5 - 24*s**2/5 - 72*s/5 = 0. What is s?
-6, 0
Factor i**3 - 730*i**2 - 4*i + 2920.
(i - 730)*(i - 2)*(i + 2)
Suppose 3*v**4 + 5013*v**3 - 25116*v**2 + 40212*v - 20112 = 0. Calculate v.
-1676, 1, 2
Factor -2*k**2 - 19330*k - 57972.
-2*(k + 3)*(k + 9662)
Let -2*f**5 + 258*f**4 - 11292*f**3 + 222748*f**2 - 2028642*f + 6936930 = 0. What is f?
11, 21, 65
Let -2*n**4/5 + 3732*n**3/5 - 5202*n**2 - 29744*n/5 = 0. Calculate n.
-1, 0, 8, 1859
Let -2*z**4/5 + 2184*z**3 + 516602*z**2/5 + 5816544*z/5 - 6344064/5 = 0. Calculate z.
-24, 1, 5507
Factor 3*s**4 - 61*s**3 - 222*s**2 + 280*s.
s*(s - 1)*(s + 4)*(3*s - 70)
Factor -h**2/5 + 2341*h/5.
-h*(h - 2341)/5
Determine g so that -3*g**5/2 - 45*g**4 - 192*g**3 - 105*g**2 + 387*g/2 + 150 = 0.
-25, -4, -1, 1
Factor -18*n**2/5 + 123628*n/5 - 27472/5.
-2*(n - 6868)*(9*n - 2)/5
Factor -3*n**4 + 411*n**3 - 14538*n**2 + 82656*n.
-3*n*(n - 82)*(n - 48)*(n - 7)
Let -2*y**5 + 782*y**4 + 4746*y**3 + 7146*y**2 = 0. What is y?
-3, 0, 397
Find b such that -3*b**4 - 2643*b**3/2 + 5988*b**2 - 17337*b/2 + 4005 = 0.
-445, 1, 3/2, 2
Determine f so that -2*f**3 - 272016*f**2 - 272010*f + 544028 = 0.
-136007, -2, 1
Find n such that -3*n**3 + 14283*n**2 + 3*n - 14283 = 0.
-1, 1, 4761
Factor m**2 + 1215220*m + 369189912100.
(m + 607610)**2
Let -39*o**5/7 + 435*o**4/7 + 17289*o**3/7 + 4371*o**2 + 11262*o/7 - 360 = 0. Calculate o.
-15, -1, 2/13, 28
Let -2*w**5/5 - 38*w**4 - 274*w**3/5 + 8878*w**2/5 - 21804*w/5 + 13392/5 = 0. Calculate w.
-93, -9, 1, 2, 4
Solve -85*n**2 + 265*n + 800 = 0.
-32/17, 5
Factor 2*h**3/9 + 28*h**2/3 - 2198*h/9 - 760/3.
2*(h - 19)*(h + 1)*(h + 60)/9
Suppose -5*a**4 + 10050*a**3 - 5080180*a**2 + 30200280*a - 40160160 = 0. What is a?
2, 4, 1002
Suppose -8*k**5 + 1598*k**4 + 2056*k**3 - 9234*k**2 - 2412*k = 0. What is k?
-3, -1/4, 0, 2, 201
Suppose r**5/12 + 7*r**4/2 - 281*r**3/4 + 1195*r**2/3 - 725*r = 0. What is r?
-58, 0, 5, 6
Factor m**2 + 669*m + 26334.
(m + 42)*(m + 627)
Let 7*c**3 + 104610*c**2 + 390845376*c + 111661568 = 0. Calculate c.
-7472, -2/7
Let -g**2 + 1225*g - 16954 = 0. What is g?
14, 1211
Find u such that u**4/3 - 106*u**3/3 + 531*u**2 + 71548*u/3 - 73036/3 = 0.
-19, 1, 62
Factor v**3/8 + 3219*v**2/8 + 312885*v - 17731786.
(v - 53)*(v + 1636)**2/8
Factor -5*m**3 + 1121820*m**2 - 62924005620*m.
-5*m*(m - 112182)**2
Let -3*k**5/5 + 57*k**4/5 - 99*k**3/5 - 57*k**2/5 + 102*k/5 = 0. Calculate k.
-1, 0, 1, 2, 17
Suppose -2*u**4/9 - 50*u**3/9 - 44*u**2/3 = 0. Calculate u.
-22, -3, 0
Factor 2*z**3/5 + 3776*z**2/5 + 7546*z/5 + 3772/5.
2*(z + 1)**2*(z + 1886)/5
Determine v, given that -v**3 - 283*v**2 - 5279*v - 4997 = 0.
-263, -19, -1
Factor -5*i**2 - 50055*i + 100130.
-5*(i - 2)*(i + 10013)
Suppose -2*k**2 - 86458*k - 345800 = 0. What is k?
-43225, -4
Suppose j**2 - 2188*j - 39708 = 0. Calculate j.
-18, 2206
Determine t, given that -3*t**4 - 147132*t**3 - 1803985425*t**2 + 1324188*t + 16235869068 = 0.
-24522, -3, 3
Find s such that -s**3 + 72*s**2 - 944*s - 4992 = 0.
-4, 24, 52
Determine u, given that 2*u**3 - 262*u**2 + 3246*u + 3510 = 0.
-1, 15, 117
Solve 2*v**2/15 + 4838*v/3 + 96728/15 = 0 for v.
-12091, -4
Suppose 2*s**5/7 + 64*s**4/7 + 562*s**3/7 + 92*s**2 - 2280*s/7 - 3600/7 = 0. What is s?
-15, -2, 2
Solve 21*t**3 - 2161*t**2 - 224654*t - 21376 = 0.
-64, -2/21, 167
Factor i**2 + 46*i - 1872.
(i - 26)*(i + 72)
Determine t so that -5*t**2 + 62430*t - 194875245 = 0.
6243
Factor w**4 - 986*w**3 - 4949*w**2 - 5946*w.
w*(w - 991)*(w + 2)*(w + 3)
Determine s so that 2*s**3/13 - 35242*s**2/13 + 70478*s/13 - 35238/13 = 0.
1, 17619
What is x in -x**3 - 20801*x**2 - 108243167*x - 756683263 = 0?
-10397, -7
Find p such that -2*p**4 - 3614*p**3 - 35998*p**2 - 104266*p - 71880 = 0.
-1797, -5, -4, -1
Let 4*b**3 + 1440*b**2 + 17372*b - 233184 = 0. What is b?
-347, -21, 8
Find w such that -54*w**5/5 - 8718*w**4/5 - 1048238*w**3/15 + 600866*w**2/15 + 28080*w + 17496/5 = 0.
-81, -2/9, 1
Factor -2*t**3/9 + 28*t**2 - 8410*t/9 + 3304.
-2*(t - 63)*(t - 59)*(t - 4)/9
Let 4*x**2 + 256632*x + 4116248964 = 0. What is x?
-32079
Suppose 2*u**4/3 - 25162*u**3/3 = 0. What is u?
0, 12581
What is m in 129*m**3 + 1539*m**2 - 1785*m + 117 = 0?
-13, 3/43, 1
Factor -2*i**2/5 + 1036*i/5 - 2064/5.
-2*(i - 516)*(i - 2)/5
Determine d, given that 3*d**5/7 - 2235*d**4/7 + 35106*d**3/7 - 83058*d**2/7 - 35109*d/7 + 85293/7 = 0.
-1, 1, 3, 13, 729
Factor -3*s**2/8 + 465561*s/4 - 72249014907/8.
-3*(s - 155187)**2/8
Suppose -8884*j**5/7 + 88832*j**4/7 - 177600*j**3/7 - 89000*j**2/7 + 186484*j/7 + 24 = 0. Calculate j.
-1, -2/2221, 1, 3, 7
Suppose 2*d**4/9 - 7916*d**3/9 + 7848698*d**2/9 - 10433288*d/3 + 3474248 = 0. What is d?
2, 1977
Solve 8*r**2/3 - 2476*r/9 + 2404/3 = 0 for r.
3, 601/6
What is l in -l**3/5 + 579*l**2/5 - 1368*l + 20412/5 = 0?
6, 567
Suppose -x**2/3 - 46*x - 1040/3 = 0. Calculate x.
-130, -8
What is t in 2*t**2/11 - 2470*t/11 - 218788/11 = 0?
-83, 1318
What is z in -2*z**2 + 7598*z - 7596 = 0?
1, 3798
Factor 4*o**3/9 - 691*o**2/3 + 20302*o/3 - 15097/9.
(o - 487)*(o - 31)*(4*o - 1)/9
Factor 2*v**4 - 162*v**3 + 4046*v**2 - 30870*v + 68600.
2*(v - 35)**2*(v - 7)*(v - 4)
Suppose -5*f**4/3 + 1210*f**3/3 - 71305*f**2/3 - 222460*f/3 - 49980 = 0. Calculate f.
-2, -1, 119, 126
Factor -10*k**2 - 6312*k - 4980168/5.
-2*(5*k + 1578)**2/5
Factor -2*x**2/9