76436 = 0. Calculate c.
-261/11, -1/4, 13
Solve -12*z**5 + 1762*z**4 - 16494*z**3 + 45118*z**2 - 24894*z - 5480 = 0.
-1/6, 1, 4, 5, 137
Factor -59*p**2/11 + 2004164*p/11 + 237783/11.
-(p - 33969)*(59*p + 7)/11
Let 9*s**4 + 509358*s**3 - 1528353*s**2 - 11206254*s + 12225240 = 0. Calculate s.
-169795/3, -4, 1, 6
Factor d**2/6 - 244259*d + 1465548.
(d - 1465548)*(d - 6)/6
Determine c, given that 4*c**4 + 727*c**3 + 36743*c**2 + 572750*c + 409200 = 0.
-110, -40, -31, -3/4
Suppose -3*w**2 + 981759*w + 176813820 = 0. Calculate w.
-180, 327433
Factor 2*z**3 + 608*z**2 + 46994*z + 135564.
2*(z + 3)*(z + 143)*(z + 158)
Determine l, given that -5*l**3 + 35406355*l**2 + 778941625*l + 4284182265 = 0.
-11, 7081293
Factor -i**3 + 812386*i**2 + 6499136*i + 12998304.
-(i - 812394)*(i + 4)**2
Factor -x**3/3 + 3977*x**2/3 - 5149360*x/3 + 716778688.
-(x - 1528)**2*(x - 921)/3
Suppose -4*q**2 - 1650956*q - 9905592 = 0. What is q?
-412733, -6
Factor -c**3/2 + 1555*c**2/2 - 739107*c/2 + 111243537/2.
-(c - 817)*(c - 369)**2/2
Factor j**2/4 - 20325461*j/4 - 10162731/2.
(j - 20325462)*(j + 1)/4
Factor 5*a**3 + 1054690*a**2 + 55620659125*a + 222465761780.
5*(a + 4)*(a + 105467)**2
Factor 5*s**2 + 94990*s - 2663640.
5*(s - 28)*(s + 19026)
What is g in -9919980160*g**3 + 277759318496*g**2 + 17637758*g/5 + 56/5 = 0?
-1/157480, 28
Determine n, given that -n**3/2 - 2593*n**2/2 - 153992*n + 636744 = 0.
-2468, -129, 4
Solve 2*u**3 + 14099516*u**2 = 0 for u.
-7049758, 0
Determine a so that -4*a**4 + 1680*a**3 - 55148*a**2 - 56832*a = 0.
-1, 0, 37, 384
Factor -28342*h**3/9 + 736898*h**2/9 - 52*h/3.
-2*h*(h - 26)*(14171*h - 3)/9
Factor -2*a**4/13 - 38126776*a**3/13.
-2*a**3*(a + 19063388)/13
Let -3*c**5 + 5682*c**4 - 135234*c**3 + 1112724*c**2 - 3637467*c + 4089690 = 0. What is c?
3, 9, 1870
Factor -2*j**3 + 31556*j**2 - 252320*j.
-2*j*(j - 15770)*(j - 8)
Find i, given that 2*i**3/7 - 17610*i**2/7 - 1745186*i/7 + 1762794/7 = 0.
-99, 1, 8903
Solve -4*h**5 + 7212*h**4 + 227428*h**3 - 21628*h**2 - 696672*h - 454832 = 0 for h.
-31, -1, 2, 1834
Suppose -2*w**3/7 - 5158*w**2/7 + 83074*w/7 + 88230/7 = 0. What is w?
-2595, -1, 17
Factor -4*z**2 + 7136*z + 938244.
-4*(z - 1907)*(z + 123)
Factor 2*b**2/11 + 5874*b + 65760520/11.
2*(b + 1052)*(b + 31255)/11
What is z in -z**3 - 21002183*z**2 - 110272849183695*z + 771910973393175 = 0?
-10501095, 7
Solve -b**2/3 - 6917*b/3 - 3773474 = 0.
-4259, -2658
Factor 4*j**3 - 3620920*j**2 - 39830532*j - 65177352.
4*(j - 905241)*(j + 2)*(j + 9)
Determine n, given that 4*n**3/7 - 723692*n**2/7 + 9407464*n/7 - 26051040/7 = 0.
4, 9, 180910
Find y such that 3*y**2/2 - 27682629*y/8 - 3460329/4 = 0.
-1/4, 2306886
Solve p**3 + 56248629*p**2 + 224994504*p + 224994500 = 0 for p.
-56248625, -2
Factor -2*k**3 + 858*k**2 + 79698*k + 886678.
-2*(k - 509)*(k + 13)*(k + 67)
Let 23*s**3/9 - 17563*s**2/3 + 478174*s + 750040/9 = 0. What is s?
-4/23, 85, 2206
Find n, given that 10895*n**3 - 5730790*n**2 + 5730395*n - 10500 = 0.
4/2179, 1, 525
Solve 2*q**3/9 - 10502362*q**2/9 + 21004718*q/9 - 3500786/3 = 0 for q.
1, 5251179
Let -2*f**5 - 1202*f**4 - 140516*f**3 - 2577108*f**2 + 149095206*f - 1158919866 = 0. Calculate f.
-453, -87, 13
Suppose -4*d**3 - 1476*d**2 + 759252*d + 283890932 = 0. What is d?
-403, 437
Factor 4*w**2 - 153749712*w + 1477435871255184.
4*(w - 19218714)**2
Let 2*j**4 - 8776*j**3 - 26471958*j**2 + 52970236*j - 26489504 = 0. Calculate j.
-2056, 1, 6442
Factor -d**2/10 - 2227*d/5 - 156288.
-(d + 384)*(d + 4070)/10
Factor 3*y**2 + 29401140*y + 72035586108300.
3*(y + 4900190)**2
Factor 446*p**2/17 - 11051886*p/17 + 148680/17.
2*(p - 24780)*(223*p - 3)/17
Factor -2*q**2/5 - 551834*q/5 + 7506792.
-2*(q - 68)*(q + 275985)/5
Find v such that -2*v**3/9 + 694*v**2/9 - 4830*v + 22250 = 0.
5, 75, 267
Find t, given that 74*t**4 - 107000*t**3 - 546354*t**2 + 5339480*t + 290200 = 0.
-10, -2/37, 5, 1451
Let -8*k**5 + 33300*k**4 - 1985092*k**3 - 1134124*k**2 + 8090364*k - 5004440 = 0. Calculate k.
-5/2, 1, 61, 4102
Factor -1275*x**2 - 178480*x + 2800.
-5*(x + 140)*(255*x - 4)
Let 2*q**5/3 + 2182*q**4/9 + 50740*q**3/3 + 1116896*q**2/3 + 24100864*q/9 + 4874240/3 = 0. What is q?
-280, -51, -16, -2/3
Solve j**4 + 107*j**3 + 2522*j**2 - 18248*j + 25536 = 0.
-57, -56, 2, 4
Find b such that -2*b**2 - 7994272*b - 7988548101248 = 0.
-1998568
Find t, given that -t**2 - 28280*t + 13278804 = 0.
-28742, 462
Factor 5*c**2 - 14411285*c - 28822590.
5*(c - 2882259)*(c + 2)
Factor m**3/3 + 632096*m**2/3 + 24018565*m/3 + 76057646.
(m + 19)**2*(m + 632058)/3
Factor -2*n**3/7 + 750864*n**2/7 - 107266*n.
-2*n*(n - 375431)*(n - 1)/7
Determine f so that 3*f**4 + 9261*f**3 - 139482*f**2 + 335016*f = 0.
-3102, 0, 3, 12
Determine u, given that u**2/3 - 52517*u - 5042656/3 = 0.
-32, 157583
Suppose -4*c**2 - 17432460*c + 34864936 = 0. Calculate c.
-4358117, 2
Factor -2*o**3/7 - 413020*o**2/7 - 21326493826*o/7 - 341118176288/7.
-2*(o + 16)*(o + 103247)**2/7
Factor 3*m**3 + 35610075*m**2 + 105673066710336*m - 317019520621764.
3*(m - 3)*(m + 5935014)**2
Suppose 2*g**3 + 838240114*g**2/7 + 12547258667245938*g/7 - 1792465540999218/7 = 0. What is g?
-29937147, 1/7
Suppose -2*z**5/9 - 4100*z**4/9 - 2108506*z**3/9 - 12524248*z**2/9 - 1157760*z = 0. Calculate z.
-1072, -972, -5, -1, 0
Suppose -2*i**2/3 - 691357040*i/3 - 59746819594695200/3 = 0. Calculate i.
-172839260
Factor 2*m**2/9 - 569486*m/9 - 569488/9.
2*(m - 284744)*(m + 1)/9
Solve u**2 - 7387*u + 1541980 = 0 for u.
215, 7172
Determine g so that 3*g**5/4 + 963*g**4/4 + 885*g**3/2 - 23115*g**2/2 - 93933*g/4 - 46893/4 = 0.
-319, -7, -1, 7
Factor 4*p**3 - 6324*p**2 - 6328*p.
4*p*(p - 1582)*(p + 1)
Suppose -3*n**2/2 - 11385*n + 6880113/2 = 0. What is n?
-7881, 291
Let -8*x**2 + 2819*x - 9423 = 0. Calculate x.
27/8, 349
Let 3*s**2 + 154003086*s + 154003083 = 0. Calculate s.
-51334361, -1
Factor -w**2/7 - 1008286*w - 1779121151143.
-(w + 3529001)**2/7
Solve 2*m**4/9 - 1122232*m**3/9 - 98787392*m**2/3 - 26082597376*m/9 - 765129502720/9 = 0 for m.
-88, 561380
Find a such that -2*a**4/3 - 954536*a**3 + 5727232*a**2 - 34363424*a/3 + 7636320 = 0.
-1431810, 2
Factor -l**3 + 49328*l**2 - 608115536*l - 4868081792.
-(l - 24668)**2*(l + 8)
Factor 4*a**2/7 + 1923262*a/7 - 137376.
2*(a + 480816)*(2*a - 1)/7
Let -2*g**3/9 + 56536*g**2/9 + 113078*g/9 + 56540/9 = 0. Calculate g.
-1, 28270
Find t, given that -682*t**4 - 67520*t**3 - 1565388*t**2 + 5317056*t + 15606 = 0.
-51, -1/341, 3
Find o such that -25*o**5 + 1386735*o**4 + 4992535*o**3 + 1941585*o**2 - 1664190*o = 0.
-3, -1, 0, 2/5, 55473
Factor -2*l**2/3 + 9022286*l/3 + 36089176/3.
-2*(l - 4511147)*(l + 4)/3
Factor i**3/2 + 7899*i**2/2 - 428486*i - 1320990.
(i - 110)*(i + 3)*(i + 8006)/2
Determine h so that -2*h**4/5 + 4276*h**3/5 - 1669296*h**2/5 + 3325772*h/5 - 332150 = 0.
1, 511, 1625
Factor -v**2/2 + 3143445*v - 9881246468025/2.
-(v - 3143445)**2/2
Suppose d**3/2 + 26893*d**2/2 + 1126860*d + 23645538 = 0. Calculate d.
-26809, -42
Let -14*u**5 - 12926*u**4 - 3602966*u**3 - 316705866*u**2 - 90193572*u = 0. What is u?
-497, -213, -2/7, 0
Determine l so that 3*l**2/5 + 178938408*l/5 + 35787681 = 0.
-59646135, -1
Factor -2*k**2 - 916726588*k - 105048454643265218.
-2*(k + 229181647)**2
Let -2*w**4 - 12088*w**3 - 468772*w**2 - 2293448*w + 2774310 = 0. What is w?
-6005, -33, -7, 1
Solve -34*w**3/3 + 2133838*w**2/15 - 2231988272*w/5 - 26258784/5 = 0 for w.
-1/85, 6276
Find z such that 3*z**5/2 + 106467*z**4/2 - 11845395*z**3/2 + 334808925*z**2/2 - 161535000*z = 0.
-35600, 0, 1, 55
Find x such that -134*x**3/5 - 309786*x**2/5 - 35803632*x + 29399392/5 = 0.
-1156, 11/67
Determine l, given that -14*l**4 - 19616*l**3 - 619606*l**2 - 4871284*l - 4271280 = 0.
-1369, -20, -78/7, -1
Suppose 74*z**4/5 - 151*z**3/5 - 28336*z**2/5 + 85509*z/5 - 684 = 0. What is z?
-20, 3/74, 3, 19
Determine p so that -2*p**3/5 + 18858*p**2/5 - 41602758*p/5 - 13646511218/5 = 0.
-289, 4859
Factor y**2/2 + 1242476*y - 2484954.
(y - 2)*(y + 2484954)/2
Factor -39*o**2 - 208074*o.
-3*o*(13*o + 69358)
Solve -2*h**3/11 - 29572742*h**2/11 - 59145478*h/11 - 29572738/11 = 0 for h.
-14786369, -1
What is j in -11*j**5/5 + 3694*j**4/5 + 3452*j**3 - 3186104*j**2/5 + 31781632*j/5 + 5883904/5 = 0?
-34, -2/11, 16, 338
Let 10*d**3 + 4128415*d**2 - 6192655*d - 412