97
Find s, given that 5*s**5 - 5615*s**4 + 581270*s**3 - 15244290*s**2 - 32254875*s - 16423695 = 0.
-1, 57, 1011
Factor -3*t**3 - 172*t**2 + 515*t + 2100.
-(t - 5)*(t + 60)*(3*t + 7)
Factor y**3/7 + 1205*y**2/7 - 7257*y/7 + 1557.
(y - 3)**2*(y + 1211)/7
Find y, given that -2*y**4 - 28*y**3 - 94*y**2 + 28*y + 96 = 0.
-8, -6, -1, 1
Factor j**2 + 437190*j + 47783774025.
(j + 218595)**2
Determine a, given that 2*a**4/23 - 48*a**3/23 - 4468*a**2/23 + 57072*a/23 + 2827442/23 = 0.
-29, 41
Solve k**4 - 235*k**3 + 16134*k**2 - 263092*k + 247192 = 0 for k.
1, 22, 106
Factor -2*a**2/7 - 852*a/7 + 11066.
-2*(a - 77)*(a + 503)/7
Factor -4*t**3 + 240936*t**2 - 3628375680*t + 7255787648.
-4*(t - 30116)**2*(t - 2)
Let -5*b**5/3 + 128*b**4/3 + 647*b**3/3 + 418*b**2/3 - 276*b - 120 = 0. Calculate b.
-3, -2, -2/5, 1, 30
Find k such that -2*k**3/3 - 8632*k**2 + 2*k/3 + 8632 = 0.
-12948, -1, 1
Factor -8*d**3 + 914*d**2 + 692*d - 230.
-2*(d - 115)*(d + 1)*(4*d - 1)
Find h such that -35*h**5 + 11880*h**4 + 72120*h**3 + 144800*h**2 + 96720*h = 0.
-2, 0, 2418/7
Solve -2*q**5/19 - 96*q**4/19 - 424*q**3/19 + 292*q**2/19 + 78*q + 860/19 = 0.
-43, -5, -1, 2
Solve -3*b**5/2 - 669*b**4 + 90417*b**3/2 - 1015620*b**2 + 9295506*b - 29873448 = 0.
-508, 9, 22
Factor 4*q**5 - 280*q**4 + 6840*q**3 - 57760*q**2 - 137180*q + 3127704.
4*(q - 19)**4*(q + 6)
Factor 2*w**2 + 72748*w + 661533938.
2*(w + 18187)**2
Factor 5*k**5 - 125*k**4 - 405*k**3 - 415*k**2 - 140*k.
5*k*(k - 28)*(k + 1)**3
Solve -o**4/9 + 22759*o**3/9 - 19182465*o**2 + 48486870621*o + 97050491334 = 0 for o.
-2, 7587
Find l such that -2*l**4 - 34*l**3 + 938*l**2 + 14554*l - 15456 = 0.
-23, -16, 1, 21
Factor -2*t**3 - 107242*t**2 - 1437444944*t + 4313300064.
-2*(t - 3)*(t + 26812)**2
Factor 130*v**2 - 2075*v - 80.
5*(v - 16)*(26*v + 1)
Determine k, given that -3*k**2 - 847428*k - 59844517932 = 0.
-141238
Determine b, given that -b**3/2 + 1142*b**2 - 2277*b/2 - 6849 = 0.
-2, 3, 2283
What is m in m**4/3 + 1238*m**3/3 + 15973*m**2/3 + 19612*m + 14700 = 0?
-1225, -6, -1
Let -2*n**4/3 + 230*n**3/3 - 2686*n**2 + 74186*n/3 + 182476/3 = 0. What is n?
-2, 19, 49
Suppose 4*v**3 - 452*v**2 + 12508*v - 12060 = 0. What is v?
1, 45, 67
Factor -2*p**3/5 - 16*p**2 - 616*p/5 + 3872/5.
-2*(p - 4)*(p + 22)**2/5
Determine t, given that -11*t**2/4 - 22365*t/4 + 33597/2 = 0.
-22398/11, 3
Let 15*x**4 + 515*x**3 + 1505*x**2 - 1415*x - 620 = 0. What is x?
-31, -4, -1/3, 1
Find g such that 2*g**4/7 - 644*g**3 - 2*g**2/7 + 644*g = 0.
-1, 0, 1, 2254
Suppose -b**5 - 420*b**4 + 308282*b**3 - 37307340*b**2 + 73691519*b - 36692040 = 0. Calculate b.
-840, 1, 209
Factor 180*z**2 - 141128*z + 6272.
4*(z - 784)*(45*z - 2)
What is k in -2*k**2 + 510488*k - 32574749768 = 0?
127622
Factor -l**2/6 - 89*l - 1044.
-(l + 12)*(l + 522)/6
Let y**4/2 - 32*y**3 - 273*y**2/2 + 2250*y + 10854 = 0. What is y?
-6, 9, 67
Suppose -4*b**2 + 7512*b + 22572 = 0. What is b?
-3, 1881
Solve b**3/4 + 28197*b**2/4 - 84609*b/2 = 0 for b.
-28203, 0, 6
Let 25*p**5/3 - 1220*p**4/3 + 13630*p**3/3 + 43400*p**2/3 - 304375*p/3 - 62500/3 = 0. Calculate p.
-5, -1/5, 4, 25
Factor 5*z**4/4 + 42480*z**3 + 1443130425*z**2/4 - 4332450375*z/2.
5*z*(z - 6)*(z + 16995)**2/4
Factor u**2/2 + 25163*u + 633176569/2.
(u + 25163)**2/2
Determine f, given that 5*f**5 + 270*f**4 + 760*f**3 - 270*f**2 - 765*f = 0.
-51, -3, -1, 0, 1
Let -j**4/3 + 387*j**3 - 122853*j**2 + 17846339*j/3 + 6072020 = 0. Calculate j.
-1, 60, 551
Determine b, given that b**4/3 - 146*b**2 - 4312*b/3 - 3025 = 0.
-11, -3, 25
Solve 14*a**5 - 202*a**4 + 994*a**3 - 1958*a**2 + 1512*a - 360 = 0 for a.
3/7, 1, 2, 5, 6
Determine n so that 5*n**2 - 395*n + 7790 = 0.
38, 41
Suppose 2*i**2/11 + 8804*i/11 + 9688802/11 = 0. Calculate i.
-2201
Factor -3*i**2 - 1704*i - 1701.
-3*(i + 1)*(i + 567)
Solve 3*g**2 + 80388*g + 538519212 = 0.
-13398
Suppose 2*n**5/7 - 78*n**4/7 + 348*n**3/7 - 272*n**2/7 = 0. What is n?
0, 1, 4, 34
Determine p so that 5*p**2 - 3265*p - 261000 = 0.
-72, 725
Factor -3*g**3/5 + 1209*g/5 - 8694/5.
-3*(g - 14)*(g - 9)*(g + 23)/5
Factor -2*m**2 + 688*m - 686.
-2*(m - 343)*(m - 1)
Factor w**3/4 + 385*w**2/2 + 4593*w/4 + 1719.
(w + 3)**2*(w + 764)/4
Factor -b**2/2 + 432*b - 4295/2.
-(b - 859)*(b - 5)/2
Determine k so that -k**4 + 11*k**3/4 + 7*k**2 - 101*k/4 + 33/2 = 0.
-3, 1, 2, 11/4
Find d, given that 21*d**5 + 2076*d**4 - 11070*d**3 + 16764*d**2 - 8727*d + 936 = 0.
-104, 1/7, 1, 3
Suppose -s**3/4 - 28847*s**2/4 - 288395*s/4 - 720925/4 = 0. What is s?
-28837, -5
Let -3*a**4 + 1119*a**3 - 2229*a**2 + 1113*a = 0. What is a?
0, 1, 371
Let 2*j**4/13 - 3882*j**3/13 + 1893420*j**2/13 - 9393472*j/13 + 11244288/13 = 0. What is j?
2, 3, 968
Factor 81*y**3/4 + 394*y**2 - 3395*y/4 + 869/2.
(y - 1)**2*(81*y + 1738)/4
Determine i, given that -i**3 - 868*i**2 + 6992*i - 14016 = 0.
-876, 4
Factor -2*h**3/11 + 1434*h**2 - 1407510*h/11 + 31577850/11.
-2*(h - 7797)*(h - 45)**2/11
What is u in 2*u**5 + 84*u**4 - 4888*u**3 + 4716*u**2 + 4886*u - 4800 = 0?
-75, -1, 1, 32
Let -4*d**5/7 + 404*d**4/7 - 400*d**3/7 = 0. What is d?
0, 1, 100
What is l in -2*l**3/17 + 3382*l**2/17 - 33670*l/17 + 84050/17 = 0?
5, 1681
Find v such that 278*v**5/3 + 6578*v**4 - 20300*v**3/3 + 96*v**2 = 0.
-72, 0, 2/139, 1
Determine b so that -2*b**2/3 + 856*b/3 + 29440/3 = 0.
-32, 460
Let -8*d**5/3 + 460*d**4 - 8592*d**3 - 3186824*d**2/3 - 2096920*d - 1043700 = 0. Calculate d.
-71/2, -1, 105
Factor -2*v**3 + 140*v**2/9 - 278*v/9 + 140/9.
-2*(v - 5)*(v - 2)*(9*v - 7)/9
Find f, given that 20*f**5 + 368*f**4 + 1668*f**3 + 2312*f**2 + 992*f = 0.
-62/5, -4, -1, 0
Solve -5*u**4 + 13695*u**3 - 1401225*u**2 + 48614125*u - 564663750 = 0 for u.
35, 2634
Suppose 2*y**2/3 + 326*y - 5040 = 0. What is y?
-504, 15
Factor -2*m**2/3 - 4622*m + 515780/3.
-2*(m - 37)*(m + 6970)/3
Determine z, given that -10*z**4/7 + 3126*z**3/7 - 4968*z**2/7 - 2488*z/7 = 0.
-2/5, 0, 2, 311
Factor -g**3 + 6442*g**2 - 10264460*g - 356477896.
-(g - 3238)**2*(g + 34)
Solve -2*r**4/17 - 564*r**3/17 - 2762*r**2/17 + 2256*r/17 + 11080/17 = 0.
-277, -5, -2, 2
Let 3*y**2/2 + 21228*y + 212205/2 = 0. Calculate y.
-14147, -5
Factor -t**3/2 + 80*t**2 + 36163*t/2 - 18161.
-(t - 286)*(t - 1)*(t + 127)/2
Factor -b**3/2 - 11*b**2/2 + 5769*b/2 - 17181/2.
-(b - 69)*(b - 3)*(b + 83)/2
Factor 3*g**3 + 19659*g**2 + 157128*g + 314160.
3*(g + 4)**2*(g + 6545)
Solve 3*j**3/5 - 1008*j**2/5 - 7173*j/5 - 2058 = 0.
-5, -2, 343
Factor 2*n**3 - 35758*n**2 + 159847198*n - 159811442.
2*(n - 8939)**2*(n - 1)
Factor 4*v**4 + 1652*v**3 - 36184*v**2 + 118048*v.
4*v*(v - 17)*(v - 4)*(v + 434)
Factor 4*u**4 + 2264*u**3 + 320340*u**2 - 9056*u - 1281424.
4*(u - 2)*(u + 2)*(u + 283)**2
Suppose -2*c**3/9 - 323788*c**2/9 - 323782*c/9 + 647572/9 = 0. Calculate c.
-161893, -2, 1
Suppose -5*k**4 - 2620*k**3 - 38550*k**2 - 191500*k - 318125 = 0. Calculate k.
-509, -5
Factor -2*s**2/7 + 480*s/7 + 176000/7.
-2*(s - 440)*(s + 200)/7
Suppose 4*y**5 + 308*y**4 + 7864*y**3 + 77912*y**2 + 213316*y - 299404 = 0. Calculate y.
-37, -17, -7, 1
Factor 2*s**2/5 - 4855496*s/5 + 2946980175752/5.
2*(s - 1213874)**2/5
Suppose 2*j**2/17 + 208*j/17 - 2530/17 = 0. Calculate j.
-115, 11
What is o in -4*o**5/5 - 718*o**4/5 - 5238*o**3/5 - 13496*o**2/5 - 13784*o/5 - 4128/5 = 0?
-172, -3, -2, -1/2
Determine r, given that r**2/2 - 10353*r + 107184609/2 = 0.
10353
Suppose -2*b**2/13 - 710*b/13 + 11100/13 = 0. Calculate b.
-370, 15
Factor -2*n**3/3 + 580*n**2/3 + 586*n/3 - 388.
-2*(n - 291)*(n - 1)*(n + 2)/3
Solve -3*r**2/8 - 537*r/8 - 1503/2 = 0.
-167, -12
Suppose 5*t**4 + 2100*t**3 + 4140*t**2 - 16720*t = 0. What is t?
-418, -4, 0, 2
Let -u**2/5 + 416682*u/5 - 416681/5 = 0. What is u?
1, 416681
Suppose -5*u**3 + 3220*u**2 + 52605*u + 128700 = 0. Calculate u.
-13, -3, 660
Factor p**2/5 - 379*p - 5694/5.
(p - 1898)*(p + 3)/5
Let -3*u**3/5 + 1794*u**2/5 + 9087*u/5 - 25326/5 = 0. Calculate u.
-7, 2, 603
Suppose -15*u**2 + 1647*u + 26412 = 0. What is u?
-71/5, 124
Determine a so that 6*a**2 + 1473*a + 7920 = 0.
-240, -11/2
Solve -3*f**5/2 - 941*f**4 - 19183*f**3/2 - 17274*f**2 + 1250*f + 9872 = 0.
-617, -8, -2, -1, 2/3
Solve x**4/4 - 165*x**3/4 + 202*x**2 - 321*x + 160 = 0 for x.
1, 2, 160
Solve -3*w**4 - 10851*w**3 - 54192*w**2 - 43344*w = 0 for w.
-3612, -4, -1, 0
Determine f, giv