-4, -2, -2/9, 37
Determine w so that -4*w**4/5 - 428*w**3 - 289416*w**2/5 - 853328*w/5 - 566048/5 = 0.
-266, -2, -1
Factor o**5/2 - 550*o**4 - 83141*o**3/2.
o**3*(o - 1171)*(o + 71)/2
Determine f so that -f**4/2 + 85*f**3 - 7073*f**2/2 + 13142*f - 12810 = 0.
2, 61, 105
Let -5*r**3/4 + 950*r**2 - 14960*r + 59520 = 0. Calculate r.
8, 744
Factor -98*h**3 + 63532*h**2 - 1258546*h + 6331496.
-2*(h - 628)*(7*h - 71)**2
Determine y so that 5*y**4/7 + 143*y**3/7 + 79*y**2/7 - 143*y/7 - 12 = 0.
-28, -1, -3/5, 1
Let 4*j**5 + 7908*j**4 - 55508*j**3 + 87276*j**2 - 39680*j = 0. Calculate j.
-1984, 0, 1, 5
Factor 2*y**2/3 - 194*y + 2232.
2*(y - 279)*(y - 12)/3
Factor 5*k**2 - 3010*k + 11960.
5*(k - 598)*(k - 4)
What is m in -2*m**5/3 - 1504*m**4/3 - 278204*m**3/3 + 570016*m**2 - 861846*m = 0?
-379, 0, 3
Determine w so that 36963*w**5/2 + 1748583*w**4/2 + 25667841*w**3/2 + 111236109*w**2/2 + 16145580*w + 1213800 = 0.
-20, -7, -17/111
Factor 12*r**3 - 25418*r**2 + 4236*r.
2*r*(r - 2118)*(6*r - 1)
Determine z, given that -z**3/3 + 2651*z**2/3 - 26285*z + 196575 = 0.
15, 2621
Factor -3*b**3 + 1206699*b**2 - 2413389*b + 1206693.
-3*(b - 402231)*(b - 1)**2
Determine y, given that 3*y**5/2 + 42*y**4 + 777*y**3/2 + 1188*y**2 = 0.
-11, -9, -8, 0
Let -7*q**3/11 + 894*q**2/11 + 2076*q/11 + 520/11 = 0. What is q?
-2, -2/7, 130
Factor 2*y**4 + 154*y**3 + 838*y**2 - 994*y.
2*y*(y - 1)*(y + 7)*(y + 71)
Solve 3*d**3/4 - 9255*d**2/4 - 92823*d/4 - 83565/4 = 0.
-9, -1, 3095
Factor s**4 - 165*s**3 + 2276*s**2 - 3900*s.
s*(s - 150)*(s - 13)*(s - 2)
Suppose 5*i**3 - 24010*i**2 + 48005*i - 24000 = 0. What is i?
1, 4800
Solve -2*a**5 - 78*a**4 + 4898*a**3 - 4818*a**2 = 0 for a.
-73, 0, 1, 33
Find k, given that k**3/5 + 497*k**2/5 - 2506*k/5 + 2008/5 = 0.
-502, 1, 4
Factor -p**3 + 314*p**2 + 1912*p + 2560.
-(p - 320)*(p + 2)*(p + 4)
Find h such that 4*h**3 + 76*h**2 + 396*h + 324 = 0.
-9, -1
Factor -2*m**2 - 150*m - 2772.
-2*(m + 33)*(m + 42)
Let -5*b**4/2 - 2215*b**3/2 - 246405*b**2/2 - 239785*b/2 + 244205 = 0. What is b?
-221, -2, 1
Suppose 2*f**5/7 + 22*f**4/7 - 90*f**3/7 - 194*f**2 - 352*f/7 + 1920 = 0. What is f?
-8, -5, 3, 7
Solve 2*d**2/25 + 220384*d/25 - 220386/25 = 0.
-110193, 1
Determine s, given that -3*s**5 + 138*s**4 - 2370*s**3 + 18900*s**2 - 70875*s + 101250 = 0.
5, 6, 15
Factor c**3/4 - 339*c**2/4 - 11665*c/4 - 76797/4.
(c - 371)*(c + 9)*(c + 23)/4
Solve 2*x**3 - 600*x**2 + 4704*x + 7068544 = 0.
-92, 196
Factor 5*v**3 + 14355*v**2 - 20*v - 57420.
5*(v - 2)*(v + 2)*(v + 2871)
Determine o so that -26*o**2 + 58712*o - 9032 = 0.
2/13, 2258
Find s, given that 3*s**5 + 552*s**4 + 8043*s**3 - 3882*s**2 - 59760*s - 48384 = 0.
-168, -16, -2, -1, 3
Find f, given that 2*f**3/7 - 292*f**2/7 - 36160*f/7 = 0.
-80, 0, 226
Factor -12*n**2/5 - 7034*n/5 - 1172/5.
-2*(n + 586)*(6*n + 1)/5
Solve p**5/5 + 43*p**4/5 + 135*p**3 + 4693*p**2/5 + 13468*p/5 + 9408/5 = 0.
-16, -12, -7, -1
Let -5*m**5 - 41960*m**4 - 87990110*m**3 + 176106120*m**2 - 88074045*m = 0. Calculate m.
-4197, 0, 1
Determine z, given that -z**4/5 + 542*z**3/5 - 75577*z**2/5 + 578856*z/5 - 1140624/5 = 0.
4, 267
What is y in 4*y**4 - 40572*y**3 + 40564*y**2 + 40572*y - 40568 = 0?
-1, 1, 10142
Factor -27*r**3 + 25473*r**2 - 6026445*r + 8651799.
-3*(r - 471)**2*(9*r - 13)
Let 6*j**5/7 - 6*j**4/7 - 60*j**3/7 - 48*j**2/7 = 0. Calculate j.
-2, -1, 0, 4
Factor 93855836881*s**2 - 1225436*s + 4.
(306359*s - 2)**2
Find l such that 2*l**3 + 17958*l**2 - 53888*l + 35928 = 0.
-8982, 1, 2
Find q, given that -5*q**2/2 + 211190*q - 422370 = 0.
2, 84474
Find s such that 25*s**5 - 1170*s**4 + 3940*s**3 + 6210*s**2 + 1075*s = 0.
-1, -1/5, 0, 5, 43
Let -2*k**4/9 + 38*k**3/9 - 58*k**2/3 + 242*k/9 - 104/9 = 0. Calculate k.
1, 4, 13
Factor 2*w**2/7 - 6634*w/7 - 13276/7.
2*(w - 3319)*(w + 2)/7
Factor 4*n**3/9 - 1136*n**2/9 - 2708*n/3 - 776.
4*(n - 291)*(n + 1)*(n + 6)/9
Find r such that -r**4 - 118*r**3 - 1388*r**2 - 2426*r - 1155 = 0.
-105, -11, -1
Factor -t**2/5 - 12747*t/5 + 25498/5.
-(t - 2)*(t + 12749)/5
Factor 5*k**5 + 3270*k**4 + 790065*k**3 + 83522340*k**2 + 3261968820*k.
5*k*(k + 129)**2*(k + 198)**2
Factor 3*d**2 + 11391*d.
3*d*(d + 3797)
Let 5*p**4 + 180*p**3 + 185*p**2 - 5130*p + 4760 = 0. What is p?
-34, -7, 1, 4
Find j such that 2*j**3/11 + 14*j**2/11 - 148*j/11 - 336/11 = 0.
-12, -2, 7
Solve -p**2 - 91421*p + 91422 = 0.
-91422, 1
Factor -2*p**2/11 - 1095944*p/11 - 150136656392/11.
-2*(p + 273986)**2/11
Factor 52185*q**2 + 20889*q + 6.
3*(5*q + 2)*(3479*q + 1)
Determine s so that -2*s**2/5 - 110664*s/5 - 110662/5 = 0.
-55331, -1
Find f such that -51585*f**4 - 34360*f**3 + 51605*f**2 + 34360*f - 20 = 0.
-1, -2/3, 2/3439, 1
Factor h**2/8 + 809*h/8 + 1005/2.
(h + 5)*(h + 804)/8
Let -2*u**4/3 - 26514*u**3 - 79540*u**2/3 = 0. What is u?
-39770, -1, 0
Find i such that 7*i**5 + 281*i**4/3 - 200*i**3 - 3100*i**2/3 - 512*i + 704/3 = 0.
-44/3, -2, -1, 2/7, 4
Determine p so that p**3 - 21458*p**2 - 42919*p - 21460 = 0.
-1, 21460
Factor -4*l**3 - 5864*l**2 + 35308*l - 29440.
-4*(l - 5)*(l - 1)*(l + 1472)
Let 242*d**2/13 - 1690524*d/13 + 2952346482/13 = 0. What is d?
38421/11
Find r such that -3*r**5 - 30*r**4 + 18*r**3 + 336*r**2 - 591*r + 270 = 0.
-9, -5, 1, 2
Determine b, given that 60*b**3 + 21368*b**2 + 889888*b + 118272 = 0.
-308, -48, -2/15
Determine x so that -x**5 + 340*x**4 - 40176*x**3 + 1819584*x**2 - 20155392*x = 0.
0, 16, 108
Factor -q**2/7 - 6646*q/7 - 19875.
-(q + 21)*(q + 6625)/7
Factor 5*i**4 + 50*i**3 + 120*i**2 - 160*i - 640.
5*(i - 2)*(i + 4)**3
Find i, given that i**5 - 2106*i**4 + 1482605*i**3 - 351830500*i**2 + 2065350000*i - 1715000000 = 0.
1, 5, 700
Suppose -5*b**4 - 4675100*b**3 - 1457105559030*b**2 - 151381125033775020*b - 151379667932891085 = 0. What is b?
-311673, -1
Factor -2*z**2 + 14*z + 22236.
-2*(z - 109)*(z + 102)
Determine v so that v**2/5 + 122312*v/5 + 3740056336/5 = 0.
-61156
Factor 3*i**2 - 8508*i + 6032172.
3*(i - 1418)**2
Factor g**2/4 + 109*g - 26535.
(g - 174)*(g + 610)/4
Suppose -5*r**2/2 - 1368805*r - 374725425605/2 = 0. Calculate r.
-273761
Factor -v**2 + 488*v + 14448.
-(v - 516)*(v + 28)
Suppose 18*t**3 - 4704*t**2 - 3142*t - 524 = 0. What is t?
-1/3, 262
Suppose 10*y**4/17 - 434*y**3/17 - 2140*y**2/17 - 3232*y/17 - 1536/17 = 0. Calculate y.
-2, -8/5, -1, 48
Factor -b**3/2 + 7766*b**2 - 217301*b/2 + 380191.
-(b - 15518)*(b - 7)**2/2
Factor 3*w**4 + 563034*w**3 + 35223219360*w**2 + 734533275084966*w + 734498052428637.
3*(w + 1)*(w + 62559)**3
Determine m so that -3*m**5/2 + 24649*m**4/2 + 263203*m**3/2 + 501979*m**2/2 - 543000*m + 148086 = 0.
-6, 1/3, 1, 8227
Solve -154*g**4 + 2830*g**3 + 1878*g**2 - 1030*g + 76 = 0 for g.
-1, 1/11, 2/7, 19
Factor -139*o**2/2 - 26547*o/2 + 191.
-(o + 191)*(139*o - 2)/2
Suppose 4*h**2 - 3747296*h + 877639206976 = 0. What is h?
468412
What is g in 2*g**5 + 92*g**4 + 424*g**3 - 4772*g**2 - 426*g + 4680 = 0?
-39, -12, -1, 1, 5
Find r such that 5*r**2/2 + 94825*r/2 - 94835 = 0.
-18967, 2
Suppose -14*c**5/11 - 136*c**4/11 + 10512*c**3/11 + 147676*c**2/11 + 97022*c/11 - 40020/11 = 0. Calculate c.
-23, -15, -1, 2/7, 29
Let 2*j**4/7 - 40*j**3/7 + 236*j**2/7 - 360*j/7 + 162/7 = 0. What is j?
1, 9
Factor l**2/7 + 565*l/7 + 77550/7.
(l + 235)*(l + 330)/7
Find s, given that s**5/4 - 61*s**4/2 - 21*s**3/4 + 1291*s**2/2 - 610*s = 0.
-5, 0, 1, 4, 122
Factor -5*v**3 - 895*v**2 - 32840*v + 69300.
-5*(v - 2)*(v + 55)*(v + 126)
Solve 15*n**4 + 118385*n**3 + 394495*n**2 + 355015*n + 78890 = 0 for n.
-7889, -2, -1, -1/3
Let 2*u**2/11 + 2726*u/11 - 206640/11 = 0. Calculate u.
-1435, 72
Factor -t**3/2 + 400*t**2 - 163925*t/2 + 780125.
-(t - 395)**2*(t - 10)/2
Factor i**3 + 6670*i**2 - 40056*i.
i*(i - 6)*(i + 6676)
Factor -11*f**2/7 + 30966*f/7 - 2815/7.
-(f - 2815)*(11*f - 1)/7
Find f such that 8*f**5/13 - 67410*f**4/13 + 141944380*f**3/13 + 248575430*f**2/13 + 71048040*f/13 - 35515592/13 = 0.
-1, 1/4, 4214
Factor 3*m**2 - 685254*m + 39131087043.
3*(m - 114209)**2
Factor r**4/2 + 2*r**3 - 11*r**2/2 - 15*r.
r*(r - 3)*(r + 2)*(r + 5)/2
Factor 5*v**4/3 - 189475*v**3/3 + 797837115*v**2 - 10080671442785*v/3 + 20151770355910/3.
5*(v - 12631)**3*(v - 2)/3
Factor 2*p**3 - 1088*p**2 + 33280*p - 262144.
2*(p - 512)*(p - 16)**2
Solve -5*a**4 + 430*a**3 - 5105*a**2 + 4680*a = 0 for a.
0, 1, 13