1)
Suppose -2*y**4/5 - 1944*y**3/5 + 586636*y**2/5 + 477432*y - 594370 = 0. Calculate y.
-1213, -5, 1, 245
Factor -4*y**2 - 6028484*y + 12056984.
-4*(y - 2)*(y + 1507123)
Factor -j**2/3 + 3779518*j/3 - 3571189078081/3.
-(j - 1889759)**2/3
Find q, given that -2*q**3/9 + 9976*q**2/9 + 2463674*q/3 + 820116 = 0.
-654, -1, 5643
Solve -2*a**5/15 - 20482*a**4/15 + 745576*a**3/5 + 13911776*a**2/15 + 28151104*a/15 + 6292192/5 = 0.
-10349, -2, 114
Let 2*n**3/7 + 43332*n**2 + 24859594*n/7 + 71848920/7 = 0. What is n?
-151580, -79, -3
Suppose o**5/7 - 108*o**4/7 - 15749*o**3/7 + 32028*o**2/7 + 15748*o/7 - 4560 = 0. What is o?
-84, -1, 1, 2, 190
Find u, given that -u**5/7 + 79*u**4/7 + 2449*u**3/7 - 23311*u**2/7 + 38964*u/7 - 18180/7 = 0.
-30, 1, 6, 101
Let 3*s**4 - 16335*s**3 - 278382*s**2 - 983160*s = 0. What is s?
-12, -5, 0, 5462
Determine b, given that -2*b**2/3 - 16118*b/3 - 1114132 = 0.
-7846, -213
Find j, given that 54*j**4 - 2806*j**3 + 33322*j**2 + 37526*j + 1344 = 0.
-1, -1/27, 21, 32
Let z**5/5 - 253061*z**4/5 + 16010347018*z**3/5 - 48029522698*z**2/5 + 48029016581*z/5 - 16009587841/5 = 0. Calculate z.
1, 126529
Find i, given that -40*i**3 - 121914*i**2 + 5084248*i - 759894 = 0.
-3089, 3/20, 41
Solve -s**3 - 47673*s**2 - 2856656*s + 5904012 = 0 for s.
-47613, -62, 2
Solve 4*w**4 + 3094076*w**3 - 15470452*w**2 + 21658660*w - 9282288 = 0.
-773524, 1, 3
Solve -4*p**3/9 + 1221718*p**2/9 - 93288095752*p/9 + 46643131592/3 = 0 for p.
3/2, 152714
Let -23461250*k**3/9 + 703851200*k**2/9 - 411002*k/9 + 20/3 = 0. Calculate k.
1/3425, 30
Find l such that -l**5/5 - 1279*l**4/5 - 375083*l**3/5 + 22543843*l**2/5 + 268127184*l/5 - 19447481664/5 = 0.
-664, -29, 39
Let -219245*z**3/3 + 365409*z**2 - 292330*z + 8/3 = 0. What is z?
2/219245, 1, 4
Factor v**4 - 1501*v**3 - 41160*v**2 - 146596*v - 140576.
(v - 1528)*(v + 2)**2*(v + 23)
Let 2*q**3/17 - 290393012*q**2/17 - 580786030*q/17 - 290393016/17 = 0. Calculate q.
-1, 145196508
What is b in -4*b**3 + 337080*b**2 + 15176700*b = 0?
-45, 0, 84315
Factor 4*q**3 - 9988*q**2 + 4970344*q - 9900768.
4*(q - 1812)*(q - 683)*(q - 2)
Factor -5*p**2/6 + 882260*p/3 - 588170.
-5*(p - 352902)*(p - 2)/6
Suppose 4*x**5 + 11744*x**4 - 164512*x**3 - 32955704*x**2 - 97539492*x - 64760040 = 0. What is x?
-2949, -45, -2, -1, 61
Suppose -y**2/3 - 3452*y/3 + 2552828/3 = 0. Calculate y.
-4078, 626
Factor -u**2/11 - 3741*u/11 - 308200.
-(u + 1541)*(u + 2200)/11
Let r**3 + 55535*r**2 + 771339408*r + 8478015084 = 0. What is r?
-27762, -11
Find s, given that s**4/3 + 5126*s**3/3 - 585305*s**2 + 49443372*s - 143108532 = 0.
-5453, 3, 162
Factor -2*v**3/15 + 144284*v**2/15 - 2548325026*v/15 - 1954522661312/15.
-2*(v - 36439)**2*(v + 736)/15
Determine n, given that 4*n**4 + 64*n**3 - 17892*n**2 - 583264*n - 565312 = 0.
-44, -1, 73
Determine i so that 5*i**2 + 30690*i + 9336285 = 0.
-5817, -321
Factor -d**2 - 61198169*d.
-d*(d + 61198169)
Factor 116*m**2 + 19084*m + 56208.
4*(m + 3)*(29*m + 4684)
Suppose k**3/3 + 437216*k**2/3 - 145739*k = 0. Calculate k.
-437217, 0, 1
Factor 2*m**3/7 + 88302*m**2/7 + 133953714*m - 823941021070/7.
2*(m - 815)*(m + 22483)**2/7
Find x such that -2474*x**4/15 + 717464*x**3/15 + 3662834*x**2/15 - 4384904*x/15 + 472 = 0.
-6, 2/1237, 1, 295
Solve 2*s**4 + 47128*s**3 - 330028*s**2 - 801432*s - 424278 = 0.
-23571, -1, 9
Determine i, given that 3*i**2/2 + 1269683*i/6 - 446747 = 0.
-141078, 19/9
Factor 2*i**2/5 - 3696*i/5 - 16557416/5.
2*(i - 3946)*(i + 2098)/5
Factor -3*p**3/8 - 26052*p**2 - 3619143759*p/8 + 10861183089/4.
-3*(p - 6)*(p + 34739)**2/8
Let 2*o**4/15 - 941224*o**3/15 + 49204779492*o**2/5 - 2569782448513656*o/5 - 59235238413160578 = 0. Calculate o.
-115, 156909
Suppose -3*j**5 - 1026*j**4 - 12891*j**3 - 19368*j**2 + 123108*j + 236880 = 0. Calculate j.
-329, -10, -4, -2, 3
Factor f**2/4 - 22995*f/4 + 3337047/2.
(f - 22701)*(f - 294)/4
Solve -b**4/2 - 91*b**3 - 3689*b**2/2 + 29536*b + 141960 = 0 for b.
-156, -35, -4, 13
Solve 2*i**4/3 - 127574*i**3/3 + 677172440*i**2 + 91671177824*i/3 + 89639532928/3 = 0.
-44, -1, 31916
Factor 4*m**3 + 37268*m**2 - 1233552*m + 6058800.
4*(m - 27)*(m - 6)*(m + 9350)
Let 3*d**3 + 3873669*d**2 + 1250448437280*d + 3751310448900 = 0. What is d?
-645610, -3
Determine q, given that -q**4/2 - 237*q**3/2 + 3780*q**2 - 20482*q = 0.
-266, 0, 7, 22
Determine d, given that 25*d**4 + 192010*d**3 + 6582220*d**2 + 50909400*d - 99092160 = 0.
-7646, -18, 8/5
Determine l, given that 15*l**5 - 28625*l**4 - 484465*l**3 + 6186625*l**2 + 4331250*l = 0.
-25, -2/3, 0, 9, 1925
What is v in -v**3 - 1393*v**2 - 378590*v - 751616 = 0?
-1024, -367, -2
Determine x, given that x**3 - 26274910*x**2 + 172592750151932*x - 345185395204232 = 0.
2, 13137454
Find z such that 3*z**5 - 453*z**4 + 11349*z**3 + 151701*z**2 - 335652*z + 173052 = 0.
-11, 1, 46, 114
Find s, given that -51*s**5 - 15914*s**4 + 197664*s**3 + 7776*s**2 = 0.
-324, -2/51, 0, 12
Determine o so that o**2 + 6782*o - 1296048 = 0.
-6968, 186
Solve 4*a**3 + 4729546*a**2 + 1398034288216*a - 2097062073816 = 0.
-591194, 3/2
Solve -27*h**5 - 6750240*h**4 - 422009236506*h**3 - 13029353316780*h**2 - 24792705924867*h - 12185355094380 = 0 for h.
-124989, -260/9, -1
What is l in l**3/5 + 1883933*l**2/5 + 177464510391*l + 4081484421315 = 0?
-941955, -23
Suppose 3*i**4 - 20103*i**3 + 1155882*i**2 = 0. What is i?
0, 58, 6643
Factor -8*n**3 + 570750996*n**2 + 285375500*n.
-4*n*(n - 71343875)*(2*n + 1)
Factor -d**3 - 36198*d**2 + 253423*d - 434460.
-(d - 4)*(d - 3)*(d + 36205)
Let 2*d**4/3 - 1630963*d**3 + 2992541676121*d**2/3 + 1496273692247*d + 498758169243 = 0. Calculate d.
-1, -1/2, 1223223
Find d such that d**3/6 - 637*d**2/3 - 24270925*d/6 - 12134825/3 = 0.
-4330, -1, 5605
What is g in -484*g**3/9 + 66152*g**2/3 - 6560*g/9 = 0?
0, 4/121, 410
Let 2*n**2/11 + 1265134*n/11 - 1265136/11 = 0. What is n?
-632568, 1
Factor 5*g**2 - 82110*g - 4944600.
5*(g - 16482)*(g + 60)
Let -11*y**4/5 + 109312*y**3 + 407457*y**2 + 457154*y + 795056/5 = 0. Calculate y.
-2, -1, -8/11, 49691
Let 3*j**2/2 - 10579011*j/2 - 5289507 = 0. What is j?
-1, 3526338
Factor -4*x**3 + 15592488*x**2 - 62369904*x + 62369888.
-4*(x - 3898118)*(x - 2)**2
Factor -j**4 - 655*j**3 + 2732*j**2 + 63264*j.
-j*(j - 12)*(j + 8)*(j + 659)
Let -20*q**2 + 12099*q - 23517 = 0. What is q?
39/20, 603
Let 2*p**2 + 13630752*p + 23224675010688 = 0. What is p?
-3407688
Find z, given that 4679451*z**3 + 16637562*z**2 + 14787648*z - 1536 = 0.
-16/9, 2/19257
Suppose 3*v**2 - 14653005*v - 14653008 = 0. Calculate v.
-1, 4884336
Factor 3476*w**3/7 + 3107546*w**2/7 + 99219696*w + 399618/7.
2*(w + 447)**2*(1738*w + 1)/7
Factor -5*j**3 + 16390*j**2 + 985675*j - 4204620.
-5*(j - 3337)*(j - 4)*(j + 63)
Factor 2*z**4 + 437440*z**3 - 437442*z**2.
2*z**2*(z - 1)*(z + 218721)
Factor -28*l**2 + 25255358*l/3 - 601318/3.
-2*(l - 300659)*(42*l - 1)/3
Factor -u**2 - 60121*u + 60122.
-(u - 1)*(u + 60122)
Suppose -2*r**5/9 + 140*r**4/9 + 18374*r**3/9 + 54112*r**2/9 + 11960*r/3 = 0. Calculate r.
-65, -2, -1, 0, 138
Factor -c**3/2 - 363*c**2/2 + 13419*c.
-c*(c - 63)*(c + 426)/2
Suppose -504100*y**5 - 11605660*y**4 - 85958344*y**3 - 203572672*y**2 - 4554880*y - 25600 = 0. Calculate y.
-10, -8, -5, -4/355
Factor -i**2/4 - 69871*i/4 - 959970.
-(i + 55)*(i + 69816)/4
Solve -p**3/6 - 93*p**2 - 12209*p/2 + 98605/3 = 0 for p.
-481, -82, 5
Let 4*m**3 + 285284*m**2 + 1426320*m = 0. Calculate m.
-71316, -5, 0
Determine c so that 5*c**4 + 1535*c**3 - 215010*c**2 - 5788800*c - 35955360 = 0.
-406, -12, 123
Factor -2*o**2/13 + 3558*o/13 - 667116/13.
-2*(o - 1566)*(o - 213)/13
Factor -20*q**2/3 - 303302*q/9 - 3370/3.
-2*(q + 5055)*(30*q + 1)/9
Let 3*r**5 - 115*r**4 - 6598*r**3 - 70682*r**2 - 137981*r + 54093 = 0. What is r?
-19, -13, -3, 1/3, 73
Solve 4*g**4 + 6712072*g**3 + 2815757832436*g**2 + 11262950785008*g + 11262923936784 = 0 for g.
-839007, -2
What is a in 4*a**4 + 5420*a**3 + 175808*a**2 + 1727920*a + 5330304 = 0?
-1322, -18, -8, -7
Factor z**2/4 - 703139*z/4 + 45687135.
(z - 702879)*(z - 260)/4
Find i, given that -2*i**5 + 40258*i**4 - 30909474*i**3 + 6127010694*i**2 - 29867347620*i = 0.
0, 5, 393, 19338
What is v in -754*v**4/3 + 23378*v**3/3 + 467356*v**2/3 - 1594928*v/3 + 2816 = 0?
-16, 2/377, 3, 44
Solve -6*h**2/5 - 1212396*h - 3062300