 53333*o**2/10 - 17777*o/5 = 0.
-17777, -2, -1, 0
Determine k, given that -2*k**4/7 + 11544*k**3/7 - 92242*k**2/7 + 103716*k/7 + 207504/7 = 0.
-1, 3, 6, 5764
Find h such that 2*h**5/7 - 228*h**4 - 185126*h**3/7 + 196200*h**2 = 0.
-109, 0, 7, 900
Factor 3*k**2/5 - 62662272*k/5 + 327213361016832/5.
3*(k - 10443712)**2/5
Suppose l**5/5 - 44545*l**4 + 18479529*l**3/5 - 54102247*l**2/5 + 53656802*l/5 - 3562272 = 0. Calculate l.
1, 80, 222642
Find h such that -2*h**5/13 - 1502*h**4/13 + 1850126*h**3/13 + 10526*h**2/13 - 12941772*h/13 - 11100672/13 = 0.
-1408, -2, -1, 3, 657
Solve -t**2 - 117453697*t - 117453696 = 0.
-117453696, -1
Solve -2*p**5 + 16084*p**4/5 - 16044*p**3/5 - 48272*p**2/5 + 16078*p - 32148/5 = 0.
-2, 1, 8037/5
Let 3*j**2/7 - 23517*j/7 + 17173680/7 = 0. Calculate j.
815, 7024
Factor 6*h**3/11 - 40890*h**2/11 + 285936*h/11.
6*h*(h - 6808)*(h - 7)/11
Factor b**2/4 + 3949*b/2 + 12819045/4.
(b + 2283)*(b + 5615)/4
Factor -2*y**2/9 - 681928*y/9 - 70174930/3.
-2*(y + 309)*(y + 340655)/9
Factor -4*i**2/5 - 220240*i - 68259024/5.
-4*(i + 62)*(i + 275238)/5
Let d**3 - 39466*d**2 + 4839065*d + 4878532 = 0. What is d?
-1, 124, 39343
Suppose -r**5 - 4877*r**4/6 + 6715*r**3 + 25016*r**2/3 - 6714*r - 45155/6 = 0. Calculate r.
-821, -1, 1, 55/6
Factor -2*j**4 + 64176*j**3 + 513536*j**2.
-2*j**2*(j - 32096)*(j + 8)
Find r, given that -r**3/8 + 93*r**2/2 + 8869*r/8 - 593505 = 0.
-109, 121, 360
Determine g so that 4*g**4 + 18703620*g**3 + 56110824*g**2 = 0.
-4675902, -3, 0
Solve -3*h**3 - 11394*h**2 - 170277*h - 158886 = 0 for h.
-3783, -14, -1
Find u such that 210*u**5 + 53336*u**4 - 6931646*u**3 + 179417412*u**2 + 383301720*u - 7366032 = 0.
-354, -2, 2/105, 51
Suppose 2*g**4 - 338*g**3 + 11274*g**2 + 23570*g + 11956 = 0. Calculate g.
-1, 49, 122
Let 5*s**3 + 1073610*s**2 + 6441400*s - 17177280 = 0. Calculate s.
-214716, -8, 2
Factor 1369*r**3/3 + 243569002*r**2 + 32501627096820*r + 195006839763848/3.
(r + 2)*(37*r + 9874382)**2/3
Determine x, given that -x**4/3 - 1865823*x**3 - 2610965070108*x**2 + 54830473578796*x/3 - 31331737570576 = 0.
-2798738, 3, 4
Solve g**2 - 3128*g - 12528 = 0.
-4, 3132
Factor -v**2/2 - 39990301*v/2.
-v*(v + 39990301)/2
Find n, given that -3385*n**2/2 + 5923*n/6 + 17 = 0.
-34/2031, 3/5
Suppose -5*n**2 - 15147020*n = 0. Calculate n.
-3029404, 0
Factor 5*a**3 - 90*a**2 - 8195*a - 57240.
5*(a - 53)*(a + 8)*(a + 27)
Determine c, given that -4*c**4 - 32980*c**3 - 2709784*c**2 = 0.
-8162, -83, 0
Let 25*t**5 - 17010*t**4 + 88050*t**3 + 2067500*t**2 + 5488125*t - 2531250 = 0. What is t?
-5, 2/5, 15, 675
Let c**3 + 2946246*c**2 + 11784972*c + 11784968 = 0. What is c?
-2946242, -2
Factor l**2/5 + 19686962*l/5 + 19686961/5.
(l + 1)*(l + 19686961)/5
Factor -q**2/4 - 401*q + 369183.
-(q - 654)*(q + 2258)/4
Suppose 66818*u**2/7 + 67348*u/7 + 530/7 = 0. What is u?
-1, -265/33409
Factor 5*b**4 + 5654355*b**3 + 16963020*b**2.
5*b**2*(b + 3)*(b + 1130868)
Solve 11*q**4/6 - 5537*q**3/6 - 11173*q**2/6 + 9243*q/2 + 5559 = 0 for q.
-3, -1, 2, 5559/11
Suppose 5*h**4 + 5880*h**3 + 1937720*h**2 + 122892000*h + 2184050000 = 0. What is h?
-550, -38
Factor -2*d**3 + 430*d**2 + 3828*d - 1244880.
-2*(d - 210)*(d - 57)*(d + 52)
Let -3*s**2/8 + 273477*s/4 + 1504305 = 0. Calculate s.
-22, 182340
Factor 5*t**5/7 + 4575808*t**4/7 + 2745483*t**3/7.
t**3*(t + 915161)*(5*t + 3)/7
Determine x so that x**2/6 + 75711*x/2 + 5563558/3 = 0.
-227084, -49
Determine a, given that -15*a**3/4 + 589233*a**2/4 - 58917*a/2 - 117846 = 0.
-4/5, 1, 39282
Factor 5*p**2 - 374155*p - 3367800.
5*(p - 74840)*(p + 9)
Determine a, given that -4*a**3 + 16533412*a**2 - 17084615289312*a + 17084598755904 = 0.
1, 2066676
Factor -2*m**3/5 + 7772*m**2/5 - 7244736*m/5.
-2*m*(m - 2334)*(m - 1552)/5
What is o in -o**4/9 + 274*o**3/9 + 1489*o**2 + 72614*o/9 + 93832/9 = 0?
-37, -4, -2, 317
Let -3*y**4 - 2160*y**3 - 34698*y**2 + 807408*y - 3203571 = 0. What is y?
-703, -31, 7
Factor 18*u**3 - 80727*u**2 - 2533476*u.
3*u*(u - 4516)*(6*u + 187)
Solve 3*o**3 - 28707*o**2 + 7070844*o = 0 for o.
0, 253, 9316
Factor m**2 + 15232*m - 60944.
(m - 4)*(m + 15236)
Find u, given that 4*u**3 - 5764*u**2 - 3395984*u + 20582544 = 0.
-454, 6, 1889
Determine d so that -d**5/7 + 69*d**4 - 7992*d**3 + 2110072*d**2/7 - 2237040*d + 4208400 = 0.
3, 6, 70, 334
Solve 123*x**4 + 97059786*x**3 - 587096697*x**2 + 901952676*x - 42611940 = 0 for x.
-789110, 2/41, 3
Find b, given that 23*b**4/2 + 3300*b**3 + 6153*b**2/2 - 19874*b + 858 = 0.
-286, -3, 1/23, 2
Determine u, given that 5*u**5 - 8950*u**4 + 62475*u**3 - 124850*u**2 + 71320*u = 0.
0, 1, 2, 4, 1783
Factor z**2/9 + 875*z/3 - 238744/9.
(z - 88)*(z + 2713)/9
Factor 2*k**2/7 + 401841200*k/7.
2*k*(k + 200920600)/7
Factor -2*g**3/5 + 2978978*g**2/5 - 1191590*g + 2978974/5.
-2*(g - 1489487)*(g - 1)**2/5
Factor 3*b**4 + 3770160*b**3.
3*b**3*(b + 1256720)
Let v**2 + 845788*v + 5920467 = 0. Calculate v.
-845781, -7
Factor 175*u**2 + 90380*u + 6262620.
5*(u + 434)*(35*u + 2886)
Determine f so that 2*f**4 + 43376*f**3 - 173534*f**2 + 43396*f + 260304 = 0.
-21692, -1, 2, 3
Determine k so that 175*k**2 - 1052660340*k - 60152020 = 0.
-2/35, 6015202
Determine q, given that -q**3 + 5690*q**2 - 3518704*q = 0.
0, 706, 4984
Factor -3*i**2 + 8841846*i - 61892775.
-3*(i - 2947275)*(i - 7)
Suppose 15340*d**3/3 + 223703*d**2 - 56480*d + 176/3 = 0. What is d?
-44, 4/3835, 1/4
Factor 3*w**2 + 4129376*w - 1376459.
(w + 1376459)*(3*w - 1)
Let 134*b**2 - 52108*b + 988560 = 0. Calculate b.
20, 24714/67
Solve 4*x**5 - 15916*x**4 - 1951616*x**3 + 3966864*x**2 = 0 for x.
-121, 0, 2, 4098
Let c**5/3 - 17708*c**4/3 + 78481781*c**3/3 - 783048010*c**2/3 = 0. What is c?
0, 10, 8849
Find r, given that -r**2/3 - 880672*r = 0.
-2642016, 0
Determine y, given that 3*y**2/5 + 79875*y + 399372/5 = 0.
-133124, -1
Determine l so that 5*l**5 + 1555*l**4 - 30785*l**3 + 185345*l**2 - 364020*l + 207900 = 0.
-330, 1, 2, 7, 9
Suppose -3*j**3 - 3990*j**2 - 23832*j = 0. What is j?
-1324, -6, 0
What is f in -f**4 - 559038*f**3 - 1677101*f**2 + 2236140*f = 0?
-559035, -4, 0, 1
Let 4*s**2 - 2954460*s - 88637400 = 0. Calculate s.
-30, 738645
Factor 2*v**3/5 + 75712*v**2 - 1135770*v.
2*v*(v - 15)*(v + 189295)/5
Factor 5*o**4 + 3170*o**3 + 15655*o**2 - 44030*o.
5*o*(o - 2)*(o + 7)*(o + 629)
Suppose o**2/3 + 351062*o/3 - 2106480 = 0. What is o?
-351080, 18
Solve -3*j**5 - 822*j**4 + 117306*j**3 - 785928*j**2 + 767337*j + 1671390 = 0.
-379, -1, 3, 5, 98
Find u such that -u**5/2 - 189*u**4/2 - 10137*u**3/2 - 96535*u**2/2 + 1718871*u + 7347060 = 0.
-102, -49, -4, 15
Factor -10*r**3 + 91761*r**2 + 82594*r - 9177.
-(r - 9177)*(r + 1)*(10*r - 1)
Factor -3*x**2/8 + 129693*x/2.
-3*x*(x - 172924)/8
Determine w so that 2*w**5/7 + 436*w**4/7 - 17196*w**3/7 - 159184*w**2/7 - 265046*w/7 - 123492/7 = 0.
-251, -6, -1, 41
Factor -3*h**2/4 - 71535*h/4 - 428778.
-3*(h + 24)*(h + 23821)/4
Factor -5*m**3 - 427960*m**2 - 6418555*m - 23961560.
-5*(m + 7)*(m + 8)*(m + 85577)
Find w, given that 2*w**3 - 320312*w**2 + 12822409288*w + 205240556672 = 0.
-16, 80086
Find n such that 4*n**5 + 4704*n**4 - 1139364*n**3 + 61344864*n**2 + 194415552*n = 0.
-1389, -3, 0, 108
Factor 455058*k**3 + 16385904*k**2 + 137384*k + 288.
2*(k + 36)*(477*k + 2)**2
Let 21*m**4 + 5277*m**3 - 101097*m**2 + 186279*m - 90480 = 0. What is m?
-1885/7, 1, 16
Factor o**2/3 - 55970*o - 3358600/3.
(o - 167930)*(o + 20)/3
Let 3*p**3 - 122100*p**2 + 1146543276*p + 1986287315904 = 0. What is p?
-1488, 21094
What is t in -3*t**2 - 85689096*t - 611885097774768 = 0?
-14281516
What is k in -3*k**2 + 169689*k - 5935440 = 0?
35, 56528
Suppose -d**5/2 + 27*d**4 - 451*d**3 + 2298*d**2 - 3897*d/2 - 4725 = 0. What is d?
-1, 3, 6, 21, 25
Factor i**3 + 64531398*i**2 - 129062803*i - 193594200.
(i - 3)*(i + 1)*(i + 64531400)
Find h, given that 598*h**2/7 - 27666*h/7 - 46576 = 0.
-2911/299, 56
Let 4*o**3 - 10516*o**2 + 7512988*o - 772444428 = 0. What is o?
123, 1253
Factor -5*m**3 - 8945*m**2 - 3928050*m.
-5*m*(m + 774)*(m + 1015)
What is b in b**2/7 + 33553*b/7 + 334830 = 0?
-33483, -70
Factor f**2/3 - 330748*f/3 - 9152991.
(f - 330831)*(f + 83)/3
Find x such that -2*x**4 - 5354*x**3 + 283824*x**2 + 21416*x - 1135264 = 0.
-2729, -2, 2, 52
Find s such that -405*s**5 + 233186625*s**4 - 1969106915*s**