.
-75, 0, 1, 5, 21
Suppose -2*k**5/3 + 32*k**4/9 + 646*k**3/3 - 16508*k**2/9 - 3952*k/3 = 0. Calculate k.
-19, -2/3, 0, 12, 13
Factor 12236*u**3/9 + 2*u**2/9.
2*u**2*(6118*u + 1)/9
Factor 4*h**3 + 1964*h**2 + 313120*h + 16028400.
4*(h + 111)*(h + 190)**2
Determine q so that -3*q**4 - 303*q**3 - 4893*q**2 + 11967*q + 16560 = 0.
-80, -23, -1, 3
Factor u**3 - 1603*u**2 + 14346*u.
u*(u - 1594)*(u - 9)
Factor u**4/2 - 102*u**3 - 1039*u**2/2 - 627*u.
u*(u - 209)*(u + 2)*(u + 3)/2
Factor -a**4/4 - 81*a**3/4 - 523*a**2/2 - 924*a.
-a*(a + 7)*(a + 8)*(a + 66)/4
Let 4*a**2/3 - 104528*a/3 + 104524/3 = 0. Calculate a.
1, 26131
Find o such that -3*o**5/4 - 12*o**4 + 3*o**3/4 + 12*o**2 = 0.
-16, -1, 0, 1
Solve 5*z**5 + 15*z**4 - 880*z**3 - 4740*z**2 + 5600*z = 0 for z.
-10, -8, 0, 1, 14
Let -2*k**5 - 318*k**4/23 - 110*k**3/23 + 1438*k**2/23 - 1044*k/23 + 80/23 = 0. What is k?
-5, -4, 2/23, 1
Determine t so that 4*t**5 - 400*t**4 + 3940*t**3 - 1960*t**2 - 15824*t + 14240 = 0.
-2, 1, 2, 10, 89
Suppose 5*h**2 - 1988450*h + 197696670125 = 0. Calculate h.
198845
Factor m**3/10 + 131*m**2/10 - 338*m/5 + 272/5.
(m - 4)*(m - 1)*(m + 136)/10
Factor -h**2/6 + 6031*h/6.
-h*(h - 6031)/6
Find i, given that -6*i**5 + 172*i**4 + 1278*i**3 + 1820*i**2 = 0.
-13/3, -2, 0, 35
Find s such that 3*s**2 - 136524*s + 1553233548 = 0.
22754
Factor 2*r**2/3 + 18248*r/3 + 36472.
2*(r + 6)*(r + 9118)/3
Suppose -68*y**3 - 6128*y**2 - 6772*y - 712 = 0. Calculate y.
-89, -1, -2/17
Factor 3*f**3/4 - 453*f**2/4 - 231*f/2 + 228.
3*(f - 152)*(f - 1)*(f + 2)/4
What is w in -6964*w**3/5 - 6958*w**2/5 + 13934*w/5 - 12/5 = 0?
-2, 3/3482, 1
Determine l, given that -2*l**2/7 + 3620144*l/7 - 1638180322592/7 = 0.
905036
Factor -t**2/3 - 8468*t/3 - 59227/3.
-(t + 7)*(t + 8461)/3
Factor c**3/6 + 1531*c**2/3 + 12227*c/6 - 7645/3.
(c - 1)*(c + 5)*(c + 3058)/6
Solve 3435*i**2 + 6085*i + 2650 = 0.
-1, -530/687
What is b in 3*b**3 + 1068*b**2 - 20628*b - 161568 = 0?
-374, -6, 24
Determine o so that -3*o**4 + 795*o**3 - 60858*o**2 + 316932*o + 81883704 = 0.
-29, 98
Factor -4*t**2 - 2608*t + 324852.
-4*(t - 107)*(t + 759)
Determine q so that -2*q**2/19 + 140358*q/19 + 280724/19 = 0.
-2, 70181
Determine j so that 2*j**2/5 - 84*j + 19872/5 = 0.
72, 138
Determine f so that -2*f**4/11 - 888*f**3/11 - 158*f**2 + 13260*f/11 = 0.
-442, -5, 0, 3
Determine n, given that -n**2 + 3862*n - 3728761 = 0.
1931
Factor z**3 - 58*z**2 + 831*z - 1998.
(z - 37)*(z - 18)*(z - 3)
Determine j so that j**5 + 3261*j**4 - 29431*j**3 - 3261*j**2 + 29430*j = 0.
-3270, -1, 0, 1, 9
Find c such that -c**2/2 - 18591*c = 0.
-37182, 0
Let 20*w**5 - 586*w**4 + 734*w**3 - 168*w**2 = 0. What is w?
0, 3/10, 1, 28
Determine l so that l**2/6 - 5552*l/3 + 15412352/3 = 0.
5552
Determine t, given that -t**4 + 328*t**3 + 1663*t**2 + 674*t - 2664 = 0.
-4, -2, 1, 333
Let 512*i**3/13 + 499136*i**2/13 - 3575838*i/13 + 6381036/13 = 0. Calculate i.
-982, 57/16
Factor -138*l**5/5 - 829*l**4/5 - 1248*l**3/5 - 9*l**2/5.
-l**2*(l + 3)**2*(138*l + 1)/5
Let -p**2 + 581*p + 1166 = 0. What is p?
-2, 583
Suppose g**5/3 + 172*g**4/3 + 4891*g**3/3 + 9076*g**2 - 10764*g = 0. Calculate g.
-138, -26, -9, 0, 1
Solve -y**4/9 + 181*y**3/3 - 1082*y**2/9 = 0.
0, 2, 541
Factor 21*c**3 + 2841*c**2 + 3624*c + 804.
3*(c + 1)*(c + 134)*(7*c + 2)
Solve 2*p**4 + 9770*p**3 + 15970212*p**2 + 8834508472*p + 162157166224 = 0 for p.
-1622, -19
Determine p, given that -2*p**2 - 1330*p - 46472 = 0.
-628, -37
Determine i so that -i**4/3 + 240*i**3 - 2153*i**2/3 + 478*i = 0.
0, 1, 2, 717
Find l such that -2*l**2/3 - 23572*l/3 - 69454898/3 = 0.
-5893
Determine y, given that -y**2 + 8647*y + 8648 = 0.
-1, 8648
Suppose -2*y**2/9 + 2592932*y/9 - 840412044578/9 = 0. Calculate y.
648233
Factor m**2 - 74997*m.
m*(m - 74997)
What is m in 14*m**5 + 3832*m**4 - 66070*m**3 + 14728*m**2 + 66056*m - 18560 = 0?
-290, -1, 2/7, 1, 16
Solve 5*t**3 - 3505*t**2 - 72100*t = 0.
-20, 0, 721
Suppose 9*r**3 + 388500*r**2 - 1295091*r + 388530 = 0. What is r?
-43170, 1/3, 3
Determine i so that 621*i**2/7 - 1245*i/7 + 6/7 = 0.
1/207, 2
Let 2*b**3 + 72742*b**2 - 145490*b + 72746 = 0. What is b?
-36373, 1
Factor i**2/6 - 729*i/2 + 1093/3.
(i - 2186)*(i - 1)/6
Solve 3*i**3/7 - 930*i**2/7 - 32064*i/7 - 262656/7 = 0 for i.
-16, 342
Factor -1406596*o**3/5 + 2803704*o**2/5 + 3792*o + 32/5.
-4*(o - 2)*(593*o + 2)**2/5
Solve -2*v**4/5 + 704*v**3/5 - 4854*v**2/5 + 1656*v = 0.
0, 3, 4, 345
What is z in -5*z**5 - 16749*z**4 + 20105*z**3 - 3351*z**2 = 0?
-3351, 0, 1/5, 1
Let -2*n**5 + 732*n**4 - 2172*n**3 - 2200*n**2 + 7998*n - 4356 = 0. Calculate n.
-2, 1, 3, 363
Factor m**3/2 + 4011*m**2/2 + 16031*m/2 + 12021/2.
(m + 1)*(m + 3)*(m + 4007)/2
What is d in 2*d**4/9 + 580*d**3/9 - 62*d**2/9 - 17920*d/9 + 5800/3 = 0?
-290, -6, 1, 5
Find p, given that -2*p**4/11 - 25930*p**3/11 - 84058576*p**2/11 - 84032648*p/11 = 0.
-6482, -1, 0
Solve -4*v**2 - 48864*v - 149230656 = 0.
-6108
What is y in -2*y**4 - 6108*y**3 + 2*y**2 + 6108*y = 0?
-3054, -1, 0, 1
Factor 7*c**2/6 - 7871*c/2 + 3373/3.
(c - 3373)*(7*c - 2)/6
Factor 2*u**4/3 + 4180*u**3/3 + 2192386*u**2/3 + 8702792*u/3.
2*u*(u + 4)*(u + 1043)**2/3
Determine w so that 3*w**5 - 57*w**4 + 414*w**3 - 1410*w**2 + 2175*w - 1125 = 0.
1, 3, 5
Suppose 230*n**2 + 686*n + 456 = 0. Calculate n.
-228/115, -1
Solve 2*q**5/17 + 3010*q**4/17 + 1068506*q**3/17 - 48656954*q**2/17 + 131926364*q/17 + 181648816/17 = 0 for q.
-773, -1, 4, 38
Find w such that 22*w**2/3 - 232*w + 1344 = 0.
84/11, 24
Let u**3/3 - 428*u**2/3 + 6409*u = 0. What is u?
0, 51, 377
Factor -x**2/4 + 16262*x - 264452644.
-(x - 32524)**2/4
Find a, given that 49*a**4/2 - 58198*a**3 + 34544666*a**2 + 19754064*a + 2822688 = 0.
-2/7, 1188
Factor 3*q**3 + 2289*q**2 - 13827*q + 11535.
3*(q - 5)*(q - 1)*(q + 769)
Suppose -35*p**4/2 + 258260*p**3 - 368915*p**2/2 - 73785*p = 0. Calculate p.
-2/7, 0, 1, 14757
Determine k so that -2*k**2/11 - 191942*k/11 + 191944/11 = 0.
-95972, 1
Solve 10125*s**5 - 180225*s**4 - 244890*s**3 + 270888*s**2 - 78816*s + 7296 = 0 for s.
-2, 4/15, 19
What is l in -2*l**4/3 - 10*l**3/3 + 422*l**2/3 - 806*l/3 + 132 = 0?
-18, 1, 11
Suppose -1200*q**2 - 13179*q + 231 = 0. Calculate q.
-11, 7/400
Suppose 2*o**4/3 - 32*o**2/3 = 0. What is o?
-4, 0, 4
Factor 453*g**3 + 13588*g**2/5 + 20373*g/5 - 18/5.
(g + 3)**2*(2265*g - 2)/5
Solve -3*s**5 + 126*s**4 - 732*s**3 - 126*s**2 + 735*s = 0.
-1, 0, 1, 7, 35
Suppose -5*v**2 - 830*v - 34445 = 0. What is v?
-83
Solve 3*w**2 - 1497648*w + 186912460992 = 0.
249608
Find d such that -2*d**4/7 - 1566*d**3/7 + 56796*d**2/7 - 378688*d/7 + 706752/7 = 0.
-818, 4, 27
Factor -2*b**2/5 + 95546*b/5 + 286656/5.
-2*(b - 47776)*(b + 3)/5
Determine c so that -c**5 - 83*c**4/3 - 758*c**3/3 - 2510*c**2/3 - 781*c + 363 = 0.
-11, -3, 1/3
Let -2*g**5/5 + 136*g**4 - 61746*g**3/5 + 134492*g**2 - 2225152*g/5 + 322752 = 0. Calculate g.
1, 5, 6, 164
What is g in -50*g**5/11 + 5860*g**4/11 - 6888*g**3/11 - 8336*g**2/11 - 1856*g/11 = 0?
-2/5, 0, 2, 116
Find g such that -20667*g**3 + 6972*g**2 + 54441*g + 28566 = 0.
-69/83, 2
Factor -4*y**3/7 + 2804*y**2/7 - 5596*y/7 + 2796/7.
-4*(y - 699)*(y - 1)**2/7
Let 4*q**4 - 1104*q**3 + 13896*q**2 - 58160*q + 78900 = 0. What is q?
3, 5, 263
Determine d, given that 3*d**3 + 49029*d**2 + 200344749*d + 200295723 = 0.
-8171, -1
Factor 2*w**4 + 276*w**3 + 12720*w**2 + 199724*w + 187278.
2*(w + 1)*(w + 39)*(w + 49)**2
Determine g so that -5*g**5 - 25*g**4 + 320*g**3 + 1420*g**2 + 1440*g = 0.
-9, -2, 0, 8
Solve 3*p**3 + 252*p**2 - 1056*p = 0 for p.
-88, 0, 4
Find p such that -5*p**2 - 3966930*p - 786826681245 = 0.
-396693
What is d in -d**2/4 - 3497*d/4 + 2625 = 0?
-3500, 3
Solve 2*f**4/13 + 86*f**3 + 6658*f**2/13 + 12178*f/13 + 6636/13 = 0.
-553, -3, -2, -1
Let 15*j**4 + 4675*j**3 - 20475*j**2 + 20525*j - 4740 = 0. Calculate j.
-316, 1/3, 1, 3
Factor 2*d**3 - 150*d**2 - 15284*d + 31152.
2*(d - 132)*(d - 2)*(d + 59)
Factor -3*q**2 - 1572*q + 4743.
-3*(q - 3)*(q + 527)
Solve j**3/5 + 2448*j**2 + 37552128*j/5 + 597704704/5 = 0 for j.
-6112, -16
Factor 4*j**2/3 - 78749*j/3 + 19687/3.
(j - 19687)*(4*j - 1)/3
Suppose -j**5/4 - 4757*j**4/4 - 42681*j**3/2 - 71035*j**2 + 236950*j = 0. What is j?
-4739, -10, 0, 2
Factor -j**3 + 741*j**2 - 1475*j - 2217.
-(j - 739)*(j - 3)*(j + 1)
Determin