 + 3)*(z + 390)/3
Factor 3*n**3 - 16983*n**2 - 204120*n - 612684.
3*(n - 5673)*(n + 6)**2
Let -3801*o**3 - 57018*o**2 + 129189*o + 102 = 0. What is o?
-17, -1/1267, 2
Find o, given that -3*o**2/5 - 34089*o/5 - 34086/5 = 0.
-11362, -1
Suppose 2*n**5/11 + 354*n**4/11 + 4052*n**3/11 + 15300*n**2/11 + 19850*n/11 + 750 = 0. What is n?
-165, -5, -1
Solve 20*s**3 - 16308*s**2 + 582240*s - 230288 = 0 for s.
2/5, 37, 778
Let -5*o**5 + 470*o**4 - 14225*o**3 + 142580*o**2 - 244340*o + 115520 = 0. Calculate o.
1, 16, 38
Find c such that -71*c**4/3 + 499*c**3/3 - 440*c**2/3 + 4*c = 0.
0, 2/71, 1, 6
Solve -5*m**3 + 25175*m**2 - 31701615*m + 31676445 = 0.
1, 2517
Factor b**3/9 - 229799*b**2/9 + 13201550395*b/9 + 13202239801/3.
(b - 114901)**2*(b + 3)/9
Suppose -w**3/4 + 659*w**2/4 - 4999*w - 10659 = 0. Calculate w.
-2, 34, 627
Find u, given that 35*u**5/2 - 1657*u**4 + 99175*u**3/2 - 459296*u**2 + 297570*u - 48672 = 0.
2/7, 2/5, 16, 39
Find w such that -3*w**3 - 427*w**2/5 + 231*w/5 - 29/5 = 0.
-29, 1/5, 1/3
Factor 346*t**3/11 + 96*t**2/11 - 1192*t/11.
2*t*(t + 2)*(173*t - 298)/11
Determine x, given that 33*x**5 - 2139*x**4 + 11589*x**3 - 15345*x**2 - 3186*x = 0.
-2/11, 0, 3, 59
Factor 3*u**3/8 - 399*u**2/2 - 3*u/8 + 399/2.
3*(u - 532)*(u - 1)*(u + 1)/8
Factor 15*j**3 + 50230*j**2 - 268295*j + 83850.
5*(j - 5)*(j + 3354)*(3*j - 1)
Determine b, given that 4116*b**5 - 1289190*b**4 + 11537505*b**3 - 4865745*b**2/2 + 345675*b/2 - 4104 = 0.
1/14, 9, 304
Factor f**2/5 + 61*f/5 + 118/5.
(f + 2)*(f + 59)/5
Let 4*f**2 - 117484*f - 117488 = 0. Calculate f.
-1, 29372
What is o in 3*o**5 + 11229*o**4 + 10319601*o**3 - 353671593*o**2 - 738257088*o - 374277120 = 0?
-1888, -1, 35
What is d in 2*d**5/5 - 20052*d**4/5 + 120226*d**3/5 + 28056*d**2 = 0?
-1, 0, 7, 10020
Let 169*q**3/5 - q**2/5 - 169*q/5 + 1/5 = 0. What is q?
-1, 1/169, 1
Factor -4*w**3/3 + 7496*w**2/3 - 3300736*w/3 - 66909312.
-4*(w - 964)**2*(w + 54)/3
What is r in -2*r**2 - 262*r + 7084 = 0?
-154, 23
Factor -3*u**3/7 + 1011*u**2/7 + 12564*u/7.
-3*u*(u - 349)*(u + 12)/7
Determine a, given that -4*a**5/3 + 584*a**4/3 - 11068*a**3/3 + 19256*a**2/3 + 11072*a/3 - 19840/3 = 0.
-1, 1, 2, 20, 124
Let -2*k**5/3 - 176*k**4/3 - 4906*k**3/3 - 35140*k**2/3 + 87808*k + 329280 = 0. Calculate k.
-35, -28, -3, 6
Factor 8*d**3/7 + 1212578*d**2/7 + 303144*d/7.
2*d*(d + 151572)*(4*d + 1)/7
Find z, given that -6*z**3/5 - 170068*z**2/5 - 90696*z - 226736/5 = 0.
-28342, -2, -2/3
Solve -6*v**3/5 + 4762*v**2/5 + 1588*v/5 = 0.
-1/3, 0, 794
Let 2*w**3/7 - 1874*w**2/7 + 63376*w - 2171560/7 = 0. What is w?
5, 466
Find n such that -3*n**2 + 951*n - 32526 = 0.
39, 278
Solve 5*b**5 - 45*b**4 - 175*b**3 + 1125*b**2 + 1250*b = 0 for b.
-5, -1, 0, 5, 10
Factor 3*n**2 + 1716*n - 21024.
3*(n - 12)*(n + 584)
Let -3*h**2 - 3459*h - 278226 = 0. Calculate h.
-1066, -87
Factor -4400*u**3 + 260680*u**2 - 52004*u + 2598.
-2*(10*u - 1)**2*(22*u - 1299)
Factor -x**2/4 - 21179*x/4 + 127218.
-(x - 24)*(x + 21203)/4
Determine b, given that -2*b**4/5 - 239164*b**3/5 - 7150166522*b**2/5 - 2859923112*b - 1429937640 = 0.
-59790, -1
Determine m, given that 4*m**4 + 12228*m**3 + 9228136*m**2 - 179355408*m + 321700384 = 0.
-1538, 2, 17
Factor -3*z**3/2 - 4197*z**2/2 - 4191*z.
-3*z*(z + 2)*(z + 1397)/2
Factor -y**3/2 - 142*y**2 - 9434*y.
-y*(y + 106)*(y + 178)/2
Factor p**4 + 13*p**3 - 435*p**2 + 827*p - 406.
(p - 14)*(p - 1)**2*(p + 29)
Factor 2*k**2 + 122868*k + 1887068178.
2*(k + 30717)**2
Solve 3*l**3/7 - 141342*l**2/7 + 847971*l/7 - 1271916/7 = 0.
3, 47108
Factor i**5 - 979*i**4.
i**4*(i - 979)
Factor -4*m**4 - 220*m**3 + 1692*m**2 - 2708*m + 1240.
-4*(m - 5)*(m - 1)**2*(m + 62)
Factor 4*m**2/11 - 1199026*m/11 + 599512/11.
2*(m - 299756)*(2*m - 1)/11
Determine v, given that 2*v**3/15 + 1628*v**2/5 + 993894*v/5 = 0.
-1221, 0
Factor -144*n**2 - 276528*n - 132756484.
-4*(6*n + 5761)**2
Solve -u**3 - 62*u**2 + 691*u + 3692 = 0.
-71, -4, 13
Factor -2*c**3/9 - 56*c**2/3 + 698*c/9 - 176/3.
-2*(c - 3)*(c - 1)*(c + 88)/9
Factor -3*k**4 - 151302*k**3 - 151299*k**2.
-3*k**2*(k + 1)*(k + 50433)
Determine f so that 5*f**4 - 25*f**3 + 40*f**2 - 20*f = 0.
0, 1, 2
Suppose 6*l**3 + 873*l**2 + 17130*l - 8784 = 0. What is l?
-122, -24, 1/2
Factor -2*k**2 + 26007*k/2 - 19503/2.
-(k - 6501)*(4*k - 3)/2
Factor -3*n**2/5 - 2691*n/5 - 3738.
-3*(n + 7)*(n + 890)/5
Find k, given that -91*k**5/4 + 10373*k**4/2 - 10169*k**3 - 226*k**2 = 0.
-2/91, 0, 2, 226
Let 2645*n**3 + 2257220*n**2 - 1374695*n + 209230 = 0. What is n?
-854, 7/23
Factor 2*o**3 - 201500*o**2.
2*o**2*(o - 100750)
Factor 2*w**2/11 + 1134*w/11 - 38336/11.
2*(w - 32)*(w + 599)/11
Suppose -4*l**5 + 284*l**4 + 8544*l**3 + 54720*l**2 = 0. Calculate l.
-12, 0, 95
Solve -84545379*r**4 + 930399858*r**3 - 4408212*r**2 + 20890*r/3 - 11/3 = 0.
1/633, 11
Factor -2*n**2/13 + 115294*n/13 + 576520/13.
-2*(n - 57652)*(n + 5)/13
Solve 5*a**2 + 10675*a - 74970 = 0 for a.
-2142, 7
What is i in 8*i**4/9 + 10*i**3/9 - 574*i**2/9 + 144*i + 40 = 0?
-10, -1/4, 3, 6
Let 3*x**2 - 186408*x + 186405 = 0. What is x?
1, 62135
Suppose 2462*i**4/9 + 9844*i**3/9 + 1366*i**2 + 4904*i/9 - 8/9 = 0. What is i?
-2, -1, 2/1231
What is q in -3*q**4/2 - 52179*q**3/4 + 45669*q**2 - 208791*q/4 + 19575 = 0?
-8700, 1, 3/2
Suppose 142*q**3 - 15902*q**2 + 31016*q + 440 = 0. Calculate q.
-1/71, 2, 110
Find t such that 5*t**2 - 284240*t + 4039618880 = 0.
28424
Factor r**4/7 + 50*r**3/7 + 144*r**2/7 + 142*r/7 + 47/7.
(r + 1)**3*(r + 47)/7
Let 156*d**4/7 - 2115*d**3 + 42015*d**2/7 - 31230*d/7 + 552 = 0. What is d?
2/13, 1, 7/4, 92
Factor -a**2/6 + 197*a/2 - 873.
-(a - 582)*(a - 9)/6
Factor m**3 + 314*m**2 + 313*m.
m*(m + 1)*(m + 313)
Determine n so that 137641*n**4/5 + 15554917*n**3/5 - 15523378*n**2/5 - 168724*n/5 - 456/5 = 0.
-114, -2/371, 1
Let b**2/3 - 1678*b/3 + 8864 = 0. What is b?
16, 1662
Determine q, given that -q**5 - 3311*q**4 - 3649803*q**3 - 1334540545*q**2 + 5440887400*q + 16190791500 = 0.
-1105, -2, 6
Solve -4*u**2 + 636640*u - 25331905600 = 0.
79580
Factor 2*s**2 + 15144*s/5 + 6056/5.
2*(s + 1514)*(5*s + 2)/5
Let w**4 - 59*w**3 - 1603*w**2 + 1775*w + 3318 = 0. What is w?
-21, -1, 2, 79
Factor 2*w**3/15 - 62158*w**2/15 + 32194736*w + 32198880.
2*(w - 15540)**2*(w + 1)/15
Find l, given that -2*l**5/19 - 492*l**4/19 + 25904*l**3/19 - 282624*l**2/19 - 672768*l/19 = 0.
-292, -2, 0, 24
Solve 5*d**3/4 - 165*d**2/4 + 1435*d/4 - 3675/4 = 0.
5, 7, 21
Factor 2*d**2/5 + 114*d + 12052/5.
2*(d + 23)*(d + 262)/5
Solve -u**5/3 - 62*u**4 + 3169*u**3/3 + 453086*u**2 - 1056*u - 453024 = 0 for u.
-132, -1, 1, 78
Factor -2*g**3/9 + 68*g**2/3 - 830*g/3 + 2288/9.
-2*(g - 88)*(g - 13)*(g - 1)/9
Factor 2*u**3/9 + 32*u**2/3 + 982*u/9 + 280.
2*(u + 4)*(u + 9)*(u + 35)/9
Solve 3*c**4 - 13392*c**3 + 14945469*c**2 + 13392*c - 14945472 = 0.
-1, 1, 2232
Find h, given that -2*h**4/5 - 64*h**3/15 + 75244*h**2/15 - 83328*h/5 + 4998 = 0.
-119, 1/3, 3, 105
Solve 3*s**3/5 + 11*s**2/5 - 7*s - 15 = 0.
-5, -5/3, 3
Determine b, given that -b**4 - 4863*b**3 - 43701*b**2 - 72785*b + 121350 = 0.
-4854, -5, 1
Let -74*k**5/5 - 2456*k**4/5 + 16928*k**3/5 + 5732*k**2/5 - 16854*k/5 - 3276/5 = 0. Calculate k.
-39, -1, -7/37, 1, 6
Factor -n**2 - 22*n - 40.
-(n + 2)*(n + 20)
Let 4*q**5/3 + 16*q**4 - 40*q**3/3 - 368*q**2 - 660*q = 0. What is q?
-11, -3, 0, 5
Determine n, given that 5*n**3 + 30695*n**2 + 46660920*n - 1379103120 = 0.
-3084, 29
Let -15*j**4/8 - 14541*j**3/8 + 18957*j**2/4 + 723*j - 5832 = 0. Calculate j.
-972, -1, 8/5, 2
Determine d so that 4*d**4 - 688*d**3 - 3512*d**2 - 4944*d - 2124 = 0.
-3, -1, 177
Factor 2*t**2/17 - 29032*t/17 - 145210/17.
2*(t - 14521)*(t + 5)/17
Solve -25*u**3/3 + 9959*u**2/9 + 12206*u/9 - 536/3 = 0 for u.
-4/3, 3/25, 134
Find m, given that 4*m**5 - 1296*m**4 - 12*m**3 + 3880*m**2 + 2592*m = 0.
-1, 0, 2, 324
Factor 4*m**2 + 61312*m + 61308.
4*(m + 1)*(m + 15327)
Factor -18*v**2/5 - 568*v/5.
-2*v*(9*v + 284)/5
Factor c**3/6 - 413*c**2/3 - 5118*c - 46548.
(c - 862)*(c + 18)**2/6
Factor 4*b**2/5 + 404712*b/5 + 10236987684/5.
4*(b + 50589)**2/5
What is d in -4*d**2 - 5464*d - 242880 = 0?
-1320, -46
Determine i so that 2*i**5/3 + 155*i**4/3 + 377*i**3/3 + 50*i**2 = 0.
-75, -2, -1/2, 0
Factor -66*u**2 + 63*u.
-3*u*(22*u - 21)
Find a, given that a**5/4 + 231*a**4/4 + 3418*a