
Suppose -t**4/5 + 718752*t**3/5 - 143750*t**2 - 718752*t/5 + 718751/5 = 0. What is t?
-1, 1, 718751
Let -2*n**3/3 + 20596*n**2 + 123648*n - 1483200 = 0. Calculate n.
-12, 6, 30900
Factor -2*u**3/9 - 59582*u**2/9 - 175369040*u/9 + 1495756213600/3.
-2*(u - 6729)*(u + 18260)**2/9
Suppose 3*s**5/10 + 2599*s**4/5 - 66577*s**3/5 + 399248*s**2/5 + 639743*s/10 - 148551/5 = 0. Calculate s.
-1758, -1, 1/3, 13
Factor z**3 + 79482*z**2 + 238433*z - 317916.
(z - 1)*(z + 4)*(z + 79479)
Factor -q**3/5 - 5633*q**2/5 + 23386049*q/5 - 19031531583/5.
-(q - 1487)**2*(q + 8607)/5
Suppose 2*d**3/15 + 2318348*d**2/5 + 4636694*d/5 + 1391008/3 = 0. Calculate d.
-3477520, -1
Determine g, given that g**3/10 - 1469*g**2/10 + 49629*g/5 = 0.
0, 71, 1398
Let 10*y**5 + 124545*y**4/2 + 201925355*y**3/2 + 24746469495*y**2/2 + 6173998985*y/2 = 0. Calculate y.
-3047, -133, -1/4, 0
Factor r**2/12 - 1314904*r/3 + 1728972529216/3.
(r - 2629808)**2/12
Suppose -3*c**4 - 871176366*c**3 - 63245688389747163*c**2 = 0. Calculate c.
-145196061, 0
Factor -3*f**2/4 + 487*f + 40145.
-(f + 74)*(3*f - 2170)/4
Find i such that -4*i**3/9 + 2014*i**2 + 136186*i/9 - 24208/3 = 0.
-8, 1/2, 4539
Let -3*j**2/7 - 2706*j/7 - 24633 = 0. Calculate j.
-833, -69
Factor -4*s**2/9 + 4444840*s/9 - 1234787664100/9.
-4*(s - 555605)**2/9
Solve -3*r**4 + 14412*r**3 - 186255*r**2 - 2845854*r = 0.
-9, 0, 22, 4791
Factor 3*y**3/8 + 19582227*y**2/8 + 3994413872634*y + 3994411424856.
3*(y + 1)*(y + 3263704)**2/8
Factor h**3/4 + 19171*h**2/2 - 844031*h/4 - 220593.
(h - 23)*(h + 1)*(h + 38364)/4
Factor 4*d**2 + 27612*d - 16652952.
4*(d - 558)*(d + 7461)
Find j, given that -2*j**5/3 - 1525*j**4 + 724243*j**3/3 + 610013*j**2 + 1469059*j/3 + 122612 = 0.
-2436, -1, -1/2, 151
What is y in -3*y**4 + 528*y**3 - 9681*y**2 - 190788*y - 180576 = 0?
-11, -1, 36, 152
Determine w, given that -5*w**5 - 23675*w**4 + 1120895*w**3 - 13745605*w**2 + 12648390*w = 0.
-4782, 0, 1, 23
Find g such that -60*g**5 + 43135*g**4 - 81965*g**3 - 351290*g**2 - 28680*g = 0.
-2, -1/12, 0, 4, 717
Suppose 2*a**4 + 734*a**3 + 57456*a**2 - 2170472*a - 57206720 = 0. Calculate a.
-194, -19, 40
Find a, given that a**5/5 + 2939*a**4 + 53860631*a**3/5 - 919897207*a**2/5 - 53860632*a/5 + 919882512/5 = 0.
-7356, -1, 1, 17
Factor -2*j**2/7 - 107886024*j/7 - 1454924271816072/7.
-2*(j + 26971506)**2/7
Factor -2*z**2/7 + 6792*z/7 - 1835200/7.
-2*(z - 3100)*(z - 296)/7
Determine d, given that -4*d**3 + 15448*d**2 - 17406064*d + 4588260768 = 0.
378, 1742
Find c such that -3*c**2 + 8149932*c - 138547977 = 0.
17, 2716627
Factor -2*b**2/5 + 44896*b/5 + 6167082.
-2*(b - 23115)*(b + 667)/5
Factor 10*w**3 - 1659129*w**2 + 68818472568*w - 61935281424.
(w - 82956)**2*(10*w - 9)
Solve 4*n**4/11 - 6357*n**3/11 + 2548203*n**2/11 - 17513531*n/11 - 249646719/11 = 0 for n.
-7, 57/4, 791
Factor 3*a**3/4 - 1819509*a**2/4 + 68972696232*a - 482786584896.
3*(a - 303248)**2*(a - 7)/4
Factor -m**2/8 + 27807*m + 19806505/8.
-(m - 222545)*(m + 89)/8
Determine t so that -4*t**2/5 - 16852*t/5 - 17328168/5 = 0.
-2431, -1782
Suppose -5*y**2/4 - 97195*y/4 + 201642105/2 = 0. What is y?
-22953, 3514
Suppose -m**3/4 - 9301*m**2/4 - 2325*m = 0. Calculate m.
-9300, -1, 0
Factor -y**3 - 42735*y**2 + 336960000*y - 612986575500.
-(y - 3510)**2*(y + 49755)
Factor -1029*d**4/4 + 270643023*d**3/4 + 115989993*d**2/4 + 16570005*d/4 + 197262.
-3*(d - 263016)*(7*d + 1)**3/4
Factor i**5/2 + 182066*i**4 - 364133*i**3/2.
i**3*(i - 1)*(i + 364133)/2
What is m in 4*m**4 - 42404*m**3 + 2236960*m**2 - 8269632*m = 0?
0, 4, 49, 10548
Find g, given that 5*g**4 - 22720*g**3 + 4857900*g**2 - 261269120*g - 542151680 = 0.
-2, 112, 4322
Suppose -2*i**5/9 - 116654*i**4/9 - 1166338*i**3/9 + 116654*i**2/9 + 388780*i/3 = 0. What is i?
-58317, -10, -1, 0, 1
Solve -c**2/4 - 7499*c/4 - 776490 = 0.
-7059, -440
Suppose -6889*q**4 + 32182128504*q**3 - 37584895256170552*q**2 - 1811320309367712*q - 21823136482576 = 0. What is q?
-2/83, 2335762
Let 89824225445*p**5 + 1886335540945*p**4 + 10779469994000*p**3 + 8985639378500*p**2 + 2680900000*p + 200000 = 0. What is p?
-10, -1, -20/134033
Suppose r**3/3 + 1486*r**2/3 - 2487*r - 2982 = 0. Calculate r.
-1491, -1, 6
Let 2*p**2/9 - 15580*p/9 + 1237216/3 = 0. What is p?
246, 7544
Factor -2*z**2 + 149923840*z - 149923838.
-2*(z - 74961919)*(z - 1)
Find z such that -z**2/4 + 147951*z/2 - 21889498401/4 = 0.
147951
Find d, given that -4*d**2 - 84596068*d + 84596072 = 0.
-21149018, 1
Factor -10*r**2 + 112565*r - 34518855.
-5*(r - 10941)*(2*r - 631)
Solve g**3 - 164*g**2 + 6576*g - 57024 = 0 for g.
12, 44, 108
Suppose -4*l**3 - 271384*l**2 + 5429456*l + 11944416 = 0. What is l?
-67866, -2, 22
Find o such that -3*o**3 - 13101*o**2 + 931362*o - 1810296 = 0.
-4437, 2, 68
Solve -2*h**3/11 + 15162*h**2/11 - 450310*h/11 - 1887750 = 0 for h.
-25, 55, 7551
Suppose 245*h**4 + 697830*h**3 + 46158705*h**2 + 874199620*h + 3304106100 = 0. What is h?
-2781, -218/7, -5
Let p**4 - 4488658*p**3 + 5037030614832*p**2 - 40295989065550*p + 35258962939375 = 0. What is p?
1, 7, 2244325
Factor -s**2/4 - 332*s - 60207/4.
-(s + 47)*(s + 1281)/4
Factor 3*d**2/2 - 28368807*d.
3*d*(d - 18912538)/2
Determine k so that -15*k**3 - 197373*k**2 - 1420032*k + 3629676 = 0.
-13151, -46/5, 2
Suppose -68*p**2 - 2310716*p - 271848 = 0. What is p?
-33981, -2/17
Factor u**2/2 - 1586560*u + 3173118.
(u - 3173118)*(u - 2)/2
Factor -4*g**2 - 375108*g + 143118640.
-4*(g - 380)*(g + 94157)
Let -5*h**2/2 + 7959660*h + 111435730 = 0. Calculate h.
-14, 3183878
Factor c**3/3 - 665928*c**2 + 332593744028*c + 3991156892944/3.
(c - 998894)**2*(c + 4)/3
Factor 18*x**3 + 11470*x**2 + 634996*x + 140544.
2*(x + 61)*(x + 576)*(9*x + 2)
Suppose -27*s**3 - 516*s**2 - 2700*s - 2400 = 0. Calculate s.
-10, -8, -10/9
Suppose 4*l**5 + 2172*l**4 + 400000*l**3 + 29423472*l**2 + 923865472*l + 10270962432 = 0. Calculate l.
-212, -46, -27
Determine r so that -r**5 + 34272*r**4 - 410970*r**3 - 5139332*r**2 + 11374491*r - 5858460 = 0.
-9, 1, 19, 34260
Solve -3*t**3 - 14811*t**2 + 1633944*t - 3208620 = 0.
-5045, 2, 106
Suppose 5*o**5/2 - 97155*o**4 + 485680*o**3 + 1262835*o**2 + 1359995*o/2 = 0. Calculate o.
-1, 0, 7, 38857
Solve 416345*d**2 + 1665385*d + 20 = 0 for d.
-4, -1/83269
Factor 2*z**3 + 195601364*z**2.
2*z**2*(z + 97800682)
Let -m**2/2 - 1528657*m/2 + 1528659 = 0. Calculate m.
-1528659, 2
Suppose n**3/4 - 897635*n**2/2 + 805748593225*n/4 = 0. What is n?
0, 897635
Factor -3*u**2/2 - 30855*u/2 + 92619.
-3*(u - 6)*(u + 10291)/2
Let -3*v**2/2 - 1338489*v - 2676972 = 0. What is v?
-892324, -2
Factor -3*a**3/8 - 596397*a**2/4 + 7156845*a/8 - 2683827/2.
-3*(a - 3)**2*(a + 397604)/8
Let -2679769*p**2/2 - 3855135*p - 5546025/2 = 0. Calculate p.
-2355/1637
Solve -69*h**4/7 - 8019*h**3/7 - 23160*h**2/7 + 32076*h/7 + 13392 = 0 for h.
-2604/23, -3, -2, 2
Find j, given that 4*j**4 - 9363444*j**3 - 48*j**2 + 112361392*j - 149815104 = 0.
-4, 2, 2340861
Find a such that 5*a**5/3 - 215830*a**4 + 20995792870*a**3/3 - 2176428430540*a**2/3 - 1471948943225*a - 2218421958770/3 = 0.
-1, 106, 64697
Suppose -52*k**2/7 + 6820696*k + 18363420/7 = 0. Calculate k.
-5/13, 918171
Let 21*z**4 - 402582*z**3 + 87241797*z**2 - 4778263956*z + 2702024544 = 0. What is z?
4/7, 109, 18952
Solve z**5/9 - 2108*z**4/9 + 35081*z**3/9 + 973958*z**2/9 + 312256*z/3 = 0 for z.
-14, -1, 0, 32, 2091
Factor -15186000374083081*o**2 - 492925964*o - 4.
-(123231491*o + 2)**2
Find o such that 902*o**3/9 - 5358574*o**2/9 - 1235720*o/9 - 47528/9 = 0.
-2/11, -2/41, 5941
Factor w**3/8 - 23615099*w**2/8 + 330611239*w/8 - 1157139165/8.
(w - 23615085)*(w - 7)**2/8
Suppose 3*j**5 + 4800*j**4 + 568098*j**3 - 1733124*j**2 + 1742739*j - 582516 = 0. Calculate j.
-1471, -132, 1
Factor -4*b**2 - 15736*b - 15732.
-4*(b + 1)*(b + 3933)
Let 2*z**2/5 - 2235726*z - 33535908/5 = 0. What is z?
-3, 5589318
Solve 4*j**4 + 1696*j**3 - 471452*j**2 - 2933400*j + 12997152 = 0 for j.
-614, -9, 3, 196
Solve -3*j**3/5 + 32577*j**2/5 + 3412344*j/5 + 88931856/5 = 0 for j.
-52, 10963
Factor x**3/4 - 45146023*x**2/4 + 127385206401530*x + 127385217688036.
(x - 22573012)**2*(x + 1)/4
Suppose -d**4/2 - 169*d**3/2 - 2030*d**2 + 67950*d - 387000 = 0. What is d?
-129, -60, 10
Let -4*w**2 + 6440*w + 684000 = 0. What is w?
-100, 1710
Find j such that -4*j*