239599377*r**2 - 1918777352*r.
-r*(r - 15487)**2*(r + 8)
Factor 3*o**3/2 + 38991*o**2/2 - 6249045*o.
3*o*(o - 313)*(o + 13310)/2
Factor -3*c**3/2 - 537627*c**2/2 + 3225924*c - 9677934.
-3*(c - 6)**2*(c + 179221)/2
Determine a, given that 145*a**3 + 860*a**2 - 1448755*a + 99910 = 0.
-103, 2/29, 97
Determine f so that -26*f**4 + 467108*f**3/5 - 418458104*f**2/5 - 2045729252*f/5 + 58255218 = 0.
-5, 9/65, 1799
Factor 4*h**3 - 1448*h**2 + 79324*h - 77880.
4*(h - 295)*(h - 66)*(h - 1)
Factor -4*c**2/7 + 391526528*c/7 - 9580813882983424/7.
-4*(c - 48940816)**2/7
Factor 2*y**2 - 7150704*y.
2*y*(y - 3575352)
Determine t, given that 3312267*t**2/5 - 3312259*t/5 - 8/5 = 0.
-8/3312267, 1
Factor -3*t**3/2 + 2060163*t**2 + 16481376*t + 32962800.
-3*(t - 1373450)*(t + 4)**2/2
Solve -3*v**3/5 + 8719*v**2/5 - 5755326*v/5 - 768152 = 0.
-2/3, 1015, 1892
Determine i, given that 4*i**5 - 7432*i**4 + 770928*i**3 + 8268680*i**2 + 21138700*i = 0.
-5, 0, 121, 1747
Find j, given that -2*j**4 - 974*j**3 + 396060*j**2 + 194100184*j + 193703152 = 0.
-466, -1, 446
Factor -k**3/11 - 9528446*k**2/11 - 22697868435884*k/11 - 226977731515240/11.
-(k + 10)*(k + 4764218)**2/11
Determine n, given that -6*n**3 + 426189*n**2 + 4049337*n = 0.
-19/2, 0, 71041
Solve 3*a**5/4 + 44637*a**4/4 - 33489*a**3 - 66963*a**2 + 89292*a = 0.
-14882, -2, 0, 1, 4
Factor -4*v**2 + 72008512*v - 324076612528384.
-4*(v - 9001064)**2
Solve -2*i**3/5 + 913854*i**2/5 + 133454658*i/5 + 4871484034/5 = 0.
-73, 457073
Factor -q**3 + 141329*q**2 - 10594050*q.
-q*(q - 141254)*(q - 75)
Determine q, given that -49*q**3 + 61302108*q**2 + 35029788*q + 5004256 = 0.
-2/7, 1251064
Factor -27*k**2 + 364731*k + 162108.
-3*(k - 13509)*(9*k + 4)
Suppose 2*k**2/9 + 46654*k/9 + 32991620/9 = 0. Calculate k.
-22597, -730
Solve 2*m**4/7 + 2417180*m**3/7 + 730364231234*m**2/7 + 11685363605280*m/7 + 46740835631232/7 = 0.
-604287, -8
What is s in 32*s**2 + 16683052*s + 6256140 = 0?
-521345, -3/8
Suppose -5*z**3 - 47035*z**2 - 9711975*z - 506984625 = 0. What is z?
-9197, -105
Suppose -8*g**4/5 + 64142*g**3 - 304648*g**2 + 384810*g - 721512/5 = 0. Calculate g.
3/4, 1, 3, 40084
Solve n**3 - 355*n**2 + 10658*n - 10304 = 0 for n.
1, 32, 322
Factor -271786*d**2 + 271778*d + 8.
-2*(d - 1)*(135893*d + 4)
Solve 2*w**4 - 4948*w**3 + 1109040*w**2 - 2203244*w + 1099150 = 0 for w.
1, 247, 2225
Solve 125*k**4 - 207601800*k**3 - 124561170*k**2 + 74736680*k - 8304075 = 0.
-1, 1/5, 1660815
Solve f**4 - 1344082*f**3 + 451637761597*f**2 + 903279555444*f + 451640449764 = 0.
-1, 672042
Factor 27*h**3 - 52104501*h**2 - 34736343*h - 5789391.
3*(h - 1929797)*(3*h + 1)**2
Factor p**3/7 - 34316*p**2/7 + 1782404*p/7 - 23162464/7.
(p - 34264)*(p - 26)**2/7
Factor 38*q**2/5 + 47499738*q/5 + 4999972/5.
2*(q + 1249993)*(19*q + 2)/5
Factor -5*j**2/3 + 21806035*j/3 + 109030300/3.
-5*(j - 4361212)*(j + 5)/3
Factor k**3 + 110219049*k**2 + 220438095*k + 110219047.
(k + 1)**2*(k + 110219047)
Suppose -93*q**3 + 9728736*q**2 - 254431238985*q + 16414878150 = 0. What is q?
2/31, 52305
Solve 6*f**5 + 2393*f**4/4 + 42963*f**3/4 - 210418*f**2 + 598416*f + 533120 = 0 for f.
-56, -17/24, 5, 8
Determine o so that 464*o**3/5 + 13918*o**2/5 + 25924*o/5 - 112/5 = 0.
-28, -2, 1/232
Find g such that g**2/6 + 13434*g - 564375/2 = 0.
-80625, 21
Let -15*q**5/7 + 5031*q**4/7 - 309411*q**3/7 + 366627*q**2 - 4926690*q/7 - 3947400/7 = 0. Calculate q.
-3/5, 5, 68, 258
Determine w, given that -w**2/4 - 331975*w/4 - 331971 = 0.
-331971, -4
Factor 3*c**2/5 + 5292*c/5 - 4910976/5.
3*(c - 672)*(c + 2436)/5
Determine t so that -t**4/9 + 389803*t**3/9 - 5627614785*t**2 + 2193604848850025*t/9 + 4387412294950750/9 = 0.
-2, 129935
Suppose i**2/4 + 189673*i - 758693/4 = 0. What is i?
-758693, 1
Factor o**3/3 + 5475*o**2 - 262996*o/3 + 328820.
(o - 10)*(o - 6)*(o + 16441)/3
What is k in -44402*k**3/7 - 216061324*k**2/7 - 5800280*k/7 - 38928/7 = 0?
-4866, -2/149
Let 4*s**3/7 - 4860*s**2/7 + 661436*s/7 - 656580/7 = 0. Calculate s.
1, 155, 1059
Factor 3*c**2 - 344088*c - 2408763.
3*(c - 114703)*(c + 7)
Solve 125150045*t**2 - 26015600*t + 1352000 = 0.
520/5003
Solve -i**3 - 4873*i**2 - 1107526*i = 0.
-4634, -239, 0
Let -3*p**2 + 29952994*p + 19968664 = 0. Calculate p.
-2/3, 9984332
Factor -3*b**2/5 - 868089*b + 4340448/5.
-3*(b - 1)*(b + 1446816)/5
Suppose 3*c**2 + 914900964*c + 69753647827344108 = 0. What is c?
-152483494
Factor -5*k**2 - 2397450*k.
-5*k*(k + 479490)
Let -14*j**3/3 - 3428*j**2 + 4478*j/3 + 16660 = 0. What is j?
-735, -2, 17/7
Let 4*s**5 - 4880*s**4/3 - 21412*s**3/3 + 5480*s**2 = 0. What is s?
-5, 0, 2/3, 411
Determine w, given that -31*w**4/7 - 27*w**3 + 38272*w**2/7 - 470916*w/7 + 432864/7 = 0.
-1336/31, 1, 18
Solve -2*r**5/9 - 122*r**4/9 + 19810*r**3/9 + 452870*r**2/3 + 144288*r - 297432 = 0 for r.
-81, -2, 1, 102
Factor -5*l**4 - 6165*l**3 + 1523420*l**2.
-5*l**2*(l - 211)*(l + 1444)
Suppose j**3/12 + 1175*j**2/12 + 61951*j/6 + 30682/3 = 0. What is j?
-1058, -116, -1
Solve -21*r**3 - 19907040*r**2 - 4717743814833*r - 1347925179174 = 0.
-473977, -2/7
Suppose 7*u**4/4 - 71013*u**3/4 - 472383*u**2/2 + 182837*u + 71106 = 0. What is u?
-14, -2/7, 1, 10158
Let -2*p**4 + 1107652*p**3 - 153380448066*p**2 + 5213974939264*p - 44316066203648 = 0. What is p?
17, 276896
Factor 2*w**3/11 - 1445428*w**2/11 - 26023050*w - 1288229184.
2*(w - 722912)*(w + 99)**2/11
Factor -2*x**2 - 1755412*x + 3510832.
-2*(x - 2)*(x + 877708)
Let 2*g**2/3 + 272156896*g + 27776016015133056 = 0. What is g?
-204117672
Factor b**2 - 47769584*b + 570483288883264.
(b - 23884792)**2
Solve -413*i**2/4 - 723*i/4 + 284 = 0 for i.
-1136/413, 1
Find j such that -54*j**4/11 + 6846*j**3/11 - 142872*j**2/11 + 229704*j/11 + 58176/11 = 0.
-2/9, 2, 24, 101
Solve -3*o**2 - 216474*o = 0.
-72158, 0
Find c such that -c**4 - 767175*c**3 + c**2 + 767175*c = 0.
-767175, -1, 0, 1
Find p such that 3*p**3 - 18366783*p**2 + 28111550630697*p + 28111568997483 = 0.
-1, 3061131
Find l such that -2*l**5/13 + 80*l**4/13 + 466*l**3/13 - 696*l**2/13 - 1080*l/13 = 0.
-6, -1, 0, 2, 45
Determine s, given that 12*s**4 + 1268*s**3 + 44316*s**2 + 522796*s + 329208 = 0.
-43, -33, -29, -2/3
Factor -f**2/9 + 1461028*f/9 - 487009/3.
-(f - 1461027)*(f - 1)/9
Let -2*d**5/11 + 534*d**4/11 + 54360*d**3/11 + 9688*d**2 = 0. What is d?
-77, -2, 0, 346
Factor 2*h**2 + 405337240*h + 20537284766352200.
2*(h + 101334310)**2
Find g such that 3*g**4 + 268788*g**3 + 2418921*g**2 + 6450312*g + 4300176 = 0.
-89587, -4, -1
Factor -s**2/2 + 3026154*s.
-s*(s - 6052308)/2
What is j in -3*j**3 - 101442948*j**2 - 857556076353831*j - 1715111746935894 = 0?
-16907157, -2
Determine i so that -2*i**2/7 - 4283690*i - 89957472/7 = 0.
-14992912, -3
Factor 2*q**2 + 24705408*q + 76294648055808.
2*(q + 6176352)**2
Find b such that 2*b**5/15 - 86266*b**4/15 + 929235232*b**3/15 + 21407706136*b**2/15 + 37252949696*b/5 - 44698568064/5 = 0.
-12, 1, 21578
Let 1378*f**2 - 40756*f + 1536 = 0. What is f?
2/53, 384/13
What is w in -3*w**4/4 - 15081*w**3 - 58359843*w**2 + 175465866576*w - 101528103698112 = 0?
-11102, 1048
Determine f, given that -3*f**5/2 + 777*f**4 - 98715*f**3 + 3817752*f**2 - 21547719*f/2 + 7054047 = 0.
1, 2, 77, 87, 351
Solve -40*v**3/3 + 20502656*v**2/3 + 20502674*v/5 + 3075402/5 = 0.
-3/10, 512567
Let 3*h**3/4 - 11163*h**2/2 + 53638323*h/4 - 10238689200 = 0. Calculate h.
1600, 2921
Find k, given that -2*k**5/3 + k**4/3 + 2744*k**3/3 + 4100*k**2/3 - 912*k = 0.
-36, -2, 0, 1/2, 38
Factor 2*t**2/7 - 336594*t/7 - 336608.
2*(t - 168304)*(t + 7)/7
Factor -d**3/5 + 188764*d**2/5 - 4529904*d/5 + 5435712.
-(d - 188740)*(d - 12)**2/5
Determine a so that 3*a**5 - 44031*a**4 - 1234491*a**3 - 10717677*a**2 - 33349320*a - 23822100 = 0.
-15, -6, -1, 14705
Solve -88*f**2/5 - 192284*f/5 - 1748 = 0 for f.
-2185, -1/22
Let -2*a**3 + 32608*a**2 - 1951080*a + 29239200 = 0. Calculate a.
30, 16244
Suppose 471*z**5 + 2367*z**4 - 39975*z**3 - 3375*z**2 + 39504*z + 1008 = 0. What is z?
-12, -1, -4/157, 1, 7
Solve -40015*a**5 + 400120*a**4 - 1320195*a**3 + 1439550*a**2 + 1080*a = 0.
-6/8003, 0, 3, 4
Factor -4*y**2/5 + 624*y + 129200.
-4*(y - 950)*(y + 170)/5
Solve -3*w**4 + 4305*w**3 + 190296*w**2 + 540708*w + 354720 = 0 for w.
-40, -2, -1, 1478
Solve -3*k**5/7 + 27330363*k**4/7 - 82994304634641*k**3/7 + 84