153
Solve -4*r**3 - 8012*r**2 - 3926560*r + 86028096 = 0 for r.
-1012, 21
Solve -2*x**3 - 886330*x**2 + 2*x + 886330 = 0 for x.
-443165, -1, 1
Let -c**4 - 912*c**3 + 73039*c**2 + 73950*c = 0. Calculate c.
-986, -1, 0, 75
Factor -5*l**2 - 417261410*l - 8705354213759405.
-5*(l + 41726141)**2
What is w in -4*w**5 + 2692*w**4 - 213768*w**3 - 3421936*w**2 + 16167136*w - 16979328 = 0?
-17, 2, 108, 578
Factor -3*j**2/2 - 64606365*j/2.
-3*j*(j + 21535455)/2
Let -2*f**4/3 - 54*f**3 - 952*f**2/3 + 8376*f + 8640 = 0. What is f?
-72, -18, -1, 10
Solve y**2/5 - 4056032*y + 20564244481280 = 0.
10140080
Solve 5086*w**2 + 3926*w - 1160 = 0.
-1, 580/2543
What is b in -b**2/2 + 27569*b/2 + 6190431 = 0?
-442, 28011
Determine i, given that -2*i**4 + 1130*i**3 + 58448*i**2 - 560840*i - 1346400 = 0.
-55, -2, 10, 612
Factor -5*k**3 - 17426*k**2 + 157199*k - 139768.
-(k - 8)*(k - 1)*(5*k + 17471)
Factor -3*d**2/2 - 420582*d + 59737767/2.
-3*(d - 71)*(d + 280459)/2
Determine l so that -4*l**4 + 2066*l**3 + 645284*l**2 + 41331264*l + 60552000 = 0.
-116, -3/2, 750
Factor 73984*a**2/7 + 118891200*a/7 + 47764102500/7.
4*(136*a + 109275)**2/7
Factor -3*p**2 - 1428*p + 4745268.
-3*(p - 1042)*(p + 1518)
Let b**5/4 + 24619*b**4/2 + 202162851*b**3 + 1109596103698*b**2 + 35300463654464*b = 0. Calculate b.
-16402, -32, 0
Suppose 24*h**5 + 868*h**4 - 283560*h**3 - 1488148*h**2 + 1483536*h + 287280 = 0. What is h?
-126, -6, -1/6, 1, 95
Let 3*p**2/7 - 5403207*p/7 + 43225464/7 = 0. Calculate p.
8, 1801061
Determine h, given that -2*h**2 - 496564*h + 1986288 = 0.
-248286, 4
Let -2*m**5/11 - 934*m**4/11 - 9134*m**3/11 + 2806*m**2/11 + 29288*m/11 + 18280/11 = 0. Calculate m.
-457, -10, -1, 2
Let -2*y**4 + 27548*y**3 - 90062778*y**2 - 33049060120*y - 2878512192200 = 0. What is y?
-170, 7057
Factor 5*l**2 - 2579000*l.
5*l*(l - 515800)
Find d, given that -3*d**2 - 1893921*d + 15151560 = 0.
-631315, 8
Solve -3*c**4/7 + 14004*c**3/7 + 592797*c**2/7 + 3122190*c/7 + 2543400/7 = 0.
-36, -5, -1, 4710
Find k such that k**5 + 11333*k**4 + 156799*k**3 - 18880785*k**2 - 135227664*k + 8332640316 = 0.
-11319, -33, 26
Factor 2*z**3/11 - 4875364*z**2/11 + 6204982*z - 238891464/11.
2*(z - 2437668)*(z - 7)**2/11
Factor -x**2/5 - 1135266*x - 1611036113445.
-(x + 2838165)**2/5
Factor 2*g**2/13 + 14076414*g/13.
2*g*(g + 7038207)/13
Determine y so that y**5/3 + 91*y**4/3 + 397*y**3 - 9151*y**2/3 - 12280*y/3 + 6716 = 0.
-73, -23, -2, 1, 6
Determine y, given that -15*y**2 + 18572853*y - 22287402 = 0.
6/5, 1238189
Find h such that -h**4/5 + 2408*h**3/5 - 1443*h**2 = 0.
0, 3, 2405
Factor w**4 - 1732520*w**3 + 750401190022*w**2 + 4502453918280*w + 6753704266521.
(w - 866263)**2*(w + 3)**2
Factor 99*g**3/2 - 589*g**2 - 2653*g/2 - 688.
(g + 1)**2*(99*g - 1376)/2
Let l**3/3 + 1351*l**2/3 - 39992*l/3 + 12880 = 0. What is l?
-1380, 1, 28
Determine c so that -c**3 + 3327241*c**2 + 6654485*c + 3327243 = 0.
-1, 3327243
Find u such that 2*u**3/3 + 55642940*u**2/3 = 0.
-27821470, 0
Solve -2*l**3/19 - 326114*l**2/19 - 1956630*l/19 - 2934918/19 = 0.
-163051, -3
Let 2*b**5 + 102374*b**4 + 1746671042*b**3 + 9932152767442*b**2 - 19885269682700*b - 79485178704752 = 0. What is b?
-17063, -2, 4
Let -4*j**2 - 57544*j - 47136832 = 0. What is j?
-13514, -872
Determine s, given that 5*s**5 + 1655*s**4 - 7480*s**3 - 264180*s**2 - 964800*s = 0.
-335, -6, 0, 16
Let 3*i**3 + 2073294*i**2 + 358214407488*i + 716420521824 = 0. What is i?
-345548, -2
What is b in -4*b**3/7 - 13556*b**2/7 - 1565728*b + 899947200/7 = 0?
-1732, 75
Solve -946688*k**4/11 + 12012480*k**3/11 - 38233042*k**2/11 + 22219224*k/11 - 3594816/11 = 0.
237/688, 4, 8
Suppose 3*x**3 + 25084752*x**2 - 25084755*x = 0. Calculate x.
-8361585, 0, 1
Find t such that -15*t**5 + 2754*t**4 + 86934*t**3 - 34668*t**2 - 2163975*t - 854550 = 0.
-27, -5, -2/5, 5, 211
Factor 2*t**2 + 312532*t + 312530.
2*(t + 1)*(t + 156265)
Determine f so that -2*f**5/11 - 1202*f**4/11 - 3612*f**3/11 + 692676*f**2/11 - 121446*f - 2030994/11 = 0.
-597, -27, -1, 3, 21
Factor -3*y**2 - 12327*y - 11570274.
-3*(y + 1451)*(y + 2658)
What is m in 2*m**5 + 28856*m**4 + 1466552*m**3 + 1408844*m**2 - 1466554*m - 1437700 = 0?
-14377, -50, -1, 1
Suppose -5*z**3 - 4390*z**2 + 71245*z - 245850 = 0. Calculate z.
-894, 5, 11
Factor 5*y**2 + 696853390*y.
5*y*(y + 139370678)
Let 10441*h**3/2 + 156593*h**2/3 + 250364*h/3 - 352/3 = 0. Calculate h.
-8, -2, 44/31323
Suppose 5*k**4/3 - 1983605*k**3/3 + 65577154780*k**2 + 590220180140*k/3 - 786949660880/3 = 0. What is k?
-4, 1, 198362
Solve -3*c**3 + 1112259*c**2 - 2224482*c - 8898024 = 0 for c.
-2, 4, 370751
Factor -3*z**3 - 27972633*z**2 - 65205613147752*z + 326028765054960.
-3*(z - 5)*(z + 4662108)**2
Factor -4*g**4 + 13880796*g**3 - 16056374799468*g**2 + 6190979530304339348*g.
-4*g*(g - 1156733)**3
Let 2*t**2/7 + 6712*t/7 - 640662 = 0. What is t?
-3927, 571
Determine j so that -j**3/4 + 292891*j**2/4 + 4980270*j + 9667647 = 0.
-66, -2, 292959
Factor -z**3/4 - 1189761*z**2 + 9518091*z/4 - 2379523/2.
-(z - 1)**2*(z + 4759046)/4
Find f, given that 642*f**3 - 22851*f**2 - 90018*f + 184275 = 0.
-525/107, 3/2, 39
Find g, given that -3*g**4 + 6*g**3 + 117*g**2 - 216*g - 324 = 0.
-6, -1, 3, 6
Determine b so that -10482326608*b**4 - 43547140136*b**3 - 6472130541*b**2 - 3182998*b - 392 = 0.
-4, -2/13, -7/28396
Let 5*z**4 + 617275*z**3 + 25398602055*z**2 + 348172397808705*z - 5577262935751440 = 0. Calculate z.
-41157, 16
Determine k, given that 3*k**2 + 267267*k + 534522 = 0.
-89087, -2
Factor -p**3 - 746365*p**2 + 3731844*p - 4478220.
-(p - 3)*(p - 2)*(p + 746370)
Factor 4*d**2 + 4744*d + 60996.
4*(d + 13)*(d + 1173)
Let 5*p**3 + 62610*p**2 + 26585100*p + 2871875320 = 0. What is p?
-12086, -218
Find d, given that 52*d**3 + 566792*d**2 + 2832660*d = 0.
-141633/13, -5, 0
Factor 5*v**3 + 3131155*v**2 - 87676260*v.
5*v*(v - 28)*(v + 626259)
Factor 5*v**2 + 140099355*v + 280198690.
5*(v + 2)*(v + 28019869)
Solve 6*q**5 + 4409*q**4 - 1644183*q**3 + 256268*q**2 + 6576636*q - 1095616 = 0.
-1007, -2, 1/6, 2, 272
Factor f**4/2 + 332*f**3 - 1507284*f**2 + 1024597936*f - 208567585400.
(f - 562)**3*(f + 2350)/2
Find s, given that s**2 - 2521*s - 29475042 = 0.
-4313, 6834
Find l such that 6*l**2 - 9272247*l + 13908357 = 0.
3/2, 1545373
Factor -r**2/3 + 1790*r/3 - 156032.
-(r - 1472)*(r - 318)/3
Factor -m**3/3 - 6400*m**2/3 - 102127*m/3 + 36176.
-(m - 1)*(m + 17)*(m + 6384)/3
Suppose 41*g**3 - 67922*g**2 + 28219721*g - 73864332 = 0. Calculate g.
108/41, 827
Suppose -99*h**3/7 - 60882*h**2/7 - 58941*h/7 + 1842/7 = 0. Calculate h.
-614, -1, 1/33
What is g in -10122*g**5/11 - 184696*g**4/11 - 378914*g**3/11 - 242436*g**2/11 - 36304*g/11 + 1792/11 = 0?
-16, -1, -2/7, 28/723
Solve 1058*h**4/13 - 123648*h**3/13 + 4673524*h**2/13 - 5184720*h + 21744450 = 0.
7, 585/23, 59
Solve -512*g**4/15 + 44224*g**3/5 - 9930146*g**2/15 + 57676388*g/5 - 870863378/15 = 0 for g.
11, 1897/16
Let 5*j**2 - 64930*j + 2137245 = 0. Calculate j.
33, 12953
Factor -3*v**3/5 + 22421703*v**2/5 - 41894385907497*v/5 - 41894408329203/5.
-3*(v - 3736951)**2*(v + 1)/5
Factor -a**3/6 - 5142*a**2 + 123421*a/6 - 15428.
-(a - 3)*(a - 1)*(a + 30856)/6
Solve 2*u**5 - 492172*u**4 + 30289492902*u**3 - 1271349207284*u**2 + 3602028554056*u - 2360968347504 = 0 for u.
1, 2, 39, 123022
Let -2*z**3 + 488885*z**2 + 7089239*z + 3422398 = 0. What is z?
-14, -1/2, 244457
Factor g**4 + 5017*g**3 - 30145*g**2 - 35161*g.
g*(g - 7)*(g + 1)*(g + 5023)
Let -h**5/2 - 824*h**4 + 640257*h**3/2 - 954610*h**2 + 635306*h = 0. Calculate h.
-1973, 0, 1, 2, 322
Factor d**3 - 13674*d**2 + 1059984*d + 6852384.
(d - 13596)*(d - 84)*(d + 6)
Solve -k**4 - 64*k**3 + 11711*k**2 + 121806*k + 196272 = 0.
-141, -8, -2, 87
Solve 3*w**3 - 1558731*w**2 + 202470973560*w - 202469414832 = 0.
1, 259788
Let -2*n**2/15 + 88922*n/15 + 533748/5 = 0. Calculate n.
-18, 44479
Determine f so that -75*f**3 + 158495940*f**2 + 126796788*f + 25359360 = 0.
-2/5, 2113280
Solve -2*x**4/3 - 21298*x**3/3 - 2817476*x**2/3 + 1906720*x = 0 for x.
-10515, -136, 0, 2
Let 2*g**2 + 20763544*g + 53890594929992 = 0. What is g?
-5190886
Find q, given that -242*q**5/3 + 2756732*q**4 - 70642131898*q**3/3 - 257001607744*q**2/3 + 33486920840*q - 9345085472/3 = 0.
-4, 2/11, 17089
Let 3*k**4 + 176252406*k**3 + 258874