7)
Let 3*u**3/5 + 17763*u**2/5 + 35517*u/5 + 17757/5 = 0. Calculate u.
-5919, -1
Suppose 2*q**2/5 - 7540*q - 75408/5 = 0. Calculate q.
-2, 18852
Let -4*o**4 - 792*o**3 - 29808*o**2 - 355752*o - 1338444 = 0. What is o?
-153, -27, -9
Factor 3*i**2/5 + 1386*i/5 - 1389/5.
3*(i - 1)*(i + 463)/5
Solve -h**4/3 - 83*h**3 - 248*h**2/3 = 0 for h.
-248, -1, 0
Find n, given that 2*n**4/7 + 46*n**3/7 + 130*n**2/7 - 1198*n/7 + 1020/7 = 0.
-17, -10, 1, 3
Let 18*v**5 + 2326*v**4 + 101028*v**3 + 1514464*v**2 + 1725504*v + 309760 = 0. What is v?
-44, -40, -1, -2/9
What is u in 3*u**5 + 68*u**4 + 543*u**3 + 1626*u**2 + 224*u - 4704 = 0?
-7, -6, -4, 4/3
Factor -2*o**2/15 - 52984*o/15 - 52982/15.
-2*(o + 1)*(o + 26491)/15
Find g, given that 3*g**3 + 2697*g**2 - 35448*g + 109440 = 0.
-912, 5, 8
Let b**3/2 + 398*b**2 + 1586*b + 1584 = 0. Calculate b.
-792, -2
Factor s**2 + 2819*s - 8466.
(s - 3)*(s + 2822)
Factor 3*r**3 - 4146*r**2 + 232899*r - 3340452.
3*(r - 1324)*(r - 29)**2
Factor 43*c**3/2 - 990*c**2 + 22839*c/2 - 529.
(c - 23)**2*(43*c - 2)/2
What is q in -q**3/3 - 38*q**2/3 - 152*q - 576 = 0?
-18, -12, -8
Factor f**2 - 814*f + 57408.
(f - 736)*(f - 78)
Factor q**2/2 + 473*q/2 - 11655.
(q - 45)*(q + 518)/2
What is v in -5*v**4 + 285*v**3 - 4110*v**2 + 3280*v + 7680 = 0?
-1, 2, 24, 32
Solve b**4/2 - 810*b**3 + 19152*b**2 = 0.
0, 24, 1596
Solve 576*i**5 + 27984*i**4 - 41687*i**3 - 43895*i**2 + 22700*i - 2500 = 0.
-50, -1, 5/24, 2
Solve -s**5 + 11*s**4 + 55*s**3 + 73*s**2 + 30*s = 0.
-2, -1, 0, 15
Determine h so that -5*h**4 + 11655*h**3 - 196690*h**2 = 0.
0, 17, 2314
Determine j, given that -32*j**5/7 + 4*j**4/7 + 38*j**3/7 - 4*j**2/7 - 6*j/7 = 0.
-1, -3/8, 0, 1/2, 1
Suppose -2*l**5 + 64*l**4 + 3942*l**3 + 34380*l**2 + 107568*l + 114048 = 0. What is l?
-24, -4, -3, 66
Factor -2*v**2/13 - 184528*v/13.
-2*v*(v + 92264)/13
Solve 2*w**2/5 - 52928*w/5 + 350171648/5 = 0.
13232
Suppose o**3/2 + 67*o**2 + 1603*o/2 + 1815 = 0. Calculate o.
-121, -10, -3
Determine j so that 24*j**3 - 34*j**2 - 100*j/3 = 0.
-2/3, 0, 25/12
Factor s**2/3 + 318812*s/3 + 25410272836/3.
(s + 159406)**2/3
Solve 4*f**5 + 1456*f**4 + 133924*f**3 + 256264*f**2 - 535760*f - 1048352 = 0.
-181, -2, 2
Determine x, given that 3*x**4 + 726*x**3 + 9000*x**2 + 15834*x + 7557 = 0.
-229, -11, -1
Factor 2*y**3/7 + 492*y**2/7 + 22570*y/7.
2*y*(y + 61)*(y + 185)/7
Find x, given that 3*x**3/4 - 113496*x**2 = 0.
0, 151328
Find f, given that -65*f**2 + 5*f + 60 = 0.
-12/13, 1
Solve -3*m**3 - 477*m**2 + 26328*m + 54540 = 0.
-202, -2, 45
Determine m, given that -4*m**3/5 - 92172*m**2/5 + 4*m/5 + 92172/5 = 0.
-23043, -1, 1
Determine k so that -2*k**3/7 - 116*k**2/7 - 1130*k/7 + 4488/7 = 0.
-44, -17, 3
Factor -n**2/3 + 1309*n - 7850/3.
-(n - 3925)*(n - 2)/3
Factor 768*n**5 - 2368*n**4 + 7492*n**3/3 - 964*n**2 + 68*n - 4/3.
4*(n - 1)**3*(24*n - 1)**2/3
Suppose -c**3/4 + 1897*c**2/4 + 2849*c/2 + 950 = 0. What is c?
-2, -1, 1900
What is r in r**3/3 - 24144*r**2 + 96572*r - 289712/3 = 0?
2, 72428
Factor 4*u**4 + 415236*u**3 + 14368411308*u**2 + 165730045496908*u.
4*u*(u + 34603)**3
Factor -2*u**3/15 + 184538*u**2/15 - 2583238*u/15 + 1808198/3.
-2*(u - 92255)*(u - 7)**2/15
Factor 3*o**3 + 624*o**2 - 1899*o.
3*o*(o - 3)*(o + 211)
Find m such that -2*m**4/7 + 3358*m**3/7 - 23420*m**2/7 + 20064*m/7 = 0.
0, 1, 6, 1672
Factor -2*x**3/7 - 134*x**2/7 + 3692*x/7 - 2848.
-2*(x - 14)*(x - 8)*(x + 89)/7
Solve 12*n**5 + 584*n**4 + 7760*n**3 + 14184*n**2 - 31004*n + 8464 = 0.
-23, -4, 1/3, 1
Factor 3*q**2/7 + 8115*q/7 + 32412/7.
3*(q + 4)*(q + 2701)/7
Let 683*c**4/4 - 1371*c**3/4 - 673*c**2/4 + 1371*c/4 - 5/2 = 0. Calculate c.
-1, 5/683, 1, 2
What is d in -3*d**5 + 96*d**4 + 2076*d**3 + 1878*d**2 - 2073*d - 1974 = 0?
-14, -1, 1, 47
Find k such that -k**3/4 - 13*k**2/4 + 247*k/2 - 120 = 0.
-30, 1, 16
Suppose -p**3 - 3432*p**2 + 48259*p + 51690 = 0. What is p?
-3446, -1, 15
Determine t, given that t**4/2 - 1424*t**3 - 8551*t**2/2 - 2851*t = 0.
-2, -1, 0, 2851
Solve -3*c**4 + 999*c**3 - 77364*c**2 - 988656*c + 1065024 = 0 for c.
-12, 1, 172
Factor l**3/5 - 2442*l**2/5 + 19484*l/5 - 29208/5.
(l - 2434)*(l - 6)*(l - 2)/5
Suppose 4*q**4 - 76*q**3 + 432*q**2 - 720*q = 0. What is q?
0, 3, 6, 10
Factor 2*c**2 - 135894*c + 271780.
2*(c - 67945)*(c - 2)
Factor -3*d**4 + 3516*d**3 + 100212*d**2 + 705600*d.
-3*d*(d - 1200)*(d + 14)**2
Suppose 3*m**4 + 36075*m**3 - 397191*m**2 - 36075*m + 397188 = 0. What is m?
-12036, -1, 1, 11
Determine w, given that -2*w**2/3 - 812*w/3 - 3406 = 0.
-393, -13
Factor -3*d**3 + 7560*d**2 - 4852224*d + 112140288.
-3*(d - 1248)**2*(d - 24)
Let -3*c**4 - 165*c**3 - 1950*c**2 + 120*c + 21888 = 0. Calculate c.
-38, -16, -4, 3
Factor 3*l**2/2 + 106416*l + 1887394176.
3*(l + 35472)**2/2
Find k such that 5*k**5 - 1045*k**4 + 71370*k**3 - 1490290*k**2 - 6931375*k - 5368665 = 0.
-3, -1, 71
Factor 2*i**2/11 - 272*i - 60640/11.
2*(i - 1516)*(i + 20)/11
Find v such that 5*v**3 - 680*v**2 + 9815*v + 35700 = 0.
-3, 20, 119
Let 3*r**4/5 - 279*r**3/5 + 1908*r**2/5 + 11076*r/5 + 2448 = 0. What is r?
-2, 12, 85
Suppose v**5/5 - 21*v**4/5 - 366*v**3/5 + 1736*v**2/5 = 0. Calculate v.
-14, 0, 4, 31
What is w in 2*w**3/5 + 5344*w**2/5 = 0?
-2672, 0
Find u such that -4*u**5/3 - 4*u**4 + 1697*u**3/3 - 2559*u**2 - 424*u/3 + 640 = 0.
-24, -1/2, 1/2, 5, 16
Let y**5/9 + 7201*y**4/9 + 1440800*y**3 + 1440000*y**2 = 0. Calculate y.
-3600, -1, 0
Solve -3*x**3 + 183*x**2 + 108*x - 6588 = 0 for x.
-6, 6, 61
Factor 27*g**2 - 10050*g + 2232.
3*(g - 372)*(9*g - 2)
Factor 5*k**2 + 36490*k + 66576005.
5*(k + 3649)**2
Factor -29*o**2 + 173712*o - 11980.
-(o - 5990)*(29*o - 2)
Factor c**2/7 - 176*c/7 - 13572/7.
(c - 234)*(c + 58)/7
Suppose -2*d**2/3 - 71459*d/3 - 35729/3 = 0. What is d?
-35729, -1/2
Factor 4*x**3 - 74056*x**2 - 16*x + 296224.
4*(x - 18514)*(x - 2)*(x + 2)
Factor -125*t**2/6 + 134*t/3 - 143/6.
-(t - 1)*(125*t - 143)/6
Factor 14*y**2/5 + 4342*y/5 + 13508/5.
2*(y + 307)*(7*y + 22)/5
Determine w so that -2*w**4 + 81776*w**3 - 835587104*w**2 - 6688622592*w - 13379862528 = 0.
-4, 20448
Factor l**3/6 + 75*l**2 + 1343*l/6 + 149.
(l + 1)*(l + 2)*(l + 447)/6
Factor 12*j**3 - 94456*j**2 - 157452*j - 62984.
4*(j - 7873)*(j + 1)*(3*j + 2)
Solve 3*o**3/2 + 888*o**2 + 3543*o/2 + 885 = 0 for o.
-590, -1
Factor -5*l**2 - 5200*l + 1752720.
-5*(l - 268)*(l + 1308)
Suppose z**5 - 17*z**4 - 47*z**3 + 1053*z**2 + 3042*z = 0. What is z?
-6, -3, 0, 13
Find k such that 2*k**2/7 - 192*k/7 - 2354/7 = 0.
-11, 107
Suppose -2*c**4/11 + 58*c**3/11 - 588*c**2/11 + 2360*c/11 - 2800/11 = 0. What is c?
2, 7, 10
Factor 3*j**3/5 - 2916*j**2/5 - 1755*j.
3*j*(j - 975)*(j + 3)/5
Factor -2*m**4/5 + 3988*m**3/5 + 113232*m**2/5.
-2*m**2*(m - 2022)*(m + 28)/5
Factor u**2 - 9748*u - 19500.
(u - 9750)*(u + 2)
Suppose -4*k**2 + 684*k + 205984 = 0. Calculate k.
-157, 328
Suppose -117968670*s**4 - 120350253*s**3 - 2395911*s**2 - 14355*s - 27 = 0. Calculate s.
-1, -1/90, -3/661
Factor -5*t**2 + 96500*t + 289545.
-5*(t - 19303)*(t + 3)
Find q, given that -q**3 - 1505*q**2 - 581728*q - 11561844 = 0.
-742, -21
Factor -y**3/4 + 271*y**2/4 + 1653*y/4 + 2493/4.
-(y - 277)*(y + 3)**2/4
Determine t so that 5*t**4 - 17235*t**3 - 1029775*t**2 - 15755265*t - 14742730 = 0.
-29, -1, 3506
Find i such that 2*i**5/9 - 1054*i**4/9 + 3146*i**3/9 - 1042*i**2/9 - 3148*i/9 + 2096/9 = 0.
-1, 1, 2, 524
Find b, given that -3*b**4/5 - 1356*b**3/5 + 9*b**2/5 + 4074*b/5 + 2712/5 = 0.
-452, -1, 2
Find h such that -2*h**3/3 - 42*h**2 - 1900*h/3 = 0.
-38, -25, 0
Suppose -5*m**4 - 6065*m**3 - 12115*m**2 - 6055*m = 0. Calculate m.
-1211, -1, 0
Suppose 2*f**2/7 + 1554*f + 32616/7 = 0. What is f?
-5436, -3
Factor o**2/5 - 172*o - 6944/5.
(o - 868)*(o + 8)/5
Find u such that -4*u**4 - 36*u**3 - 16*u**2 + 144*u + 128 = 0.
-8, -2, -1, 2
Factor -3*q**3 + 23607*q**2 - 70800*q + 47196.
-3*(q - 7866)*(q - 2)*(q - 1)
Find i, given that 3*i**3 - 969*i**2 + 18237*i - 17271 = 0.
1, 19, 303
Factor 39*z**2 - 337491*z - 337530.
3*(z + 1)*(13*z - 112510)
Solve -2*n**2/15 - 366656*n/15 + 48888 = 0 for n.
-183330, 2
Suppose -3*m**4 - 147*m**3 - 2040*m**2 - 4092*m + 34848 = 0. What is m?
-22, -8, 3
Factor 2*u**2 + 11642*u - 34944.
2*(u - 3)*(u + 5824)
Let -3*x**3/2 + 363*x**2/2 - 4731*x = 0. Calculate x.
0, 38, 83
Find j such that 4*j**