ulate b.
-125, 78
Solve -2*a**5/7 + 118*a**4/7 - 1310*a**3/7 + 2274*a**2/7 - 1080*a/7 = 0.
0, 1, 12, 45
Factor -3*n**2 - 11508*n - 183360.
-3*(n + 16)*(n + 3820)
Suppose 5*i**3/2 + 85261*i**2/2 + 272787*i/2 + 51147/2 = 0. What is i?
-17049, -3, -1/5
Factor 2*o**4 - 1406*o**3 - 7074*o**2 - 4266*o + 12744.
2*(o - 708)*(o - 1)*(o + 3)**2
Find p such that p**3/3 + 120383*p**2/3 + 1207652160*p - 1207692288 = 0.
-60192, 1
Factor -165*f**2 + 59585*f - 7220.
-5*(f - 361)*(33*f - 4)
Let 2*p**4/3 - 100*p**3/3 - 1456*p**2/3 + 5312*p - 11520 = 0. What is p?
-18, 4, 60
Determine i so that 126*i**4 + 27600*i**3 + 10487600*i**2/7 - 10120000*i/7 + 2420000/7 = 0.
-110, 10/21
What is a in 118*a**3/11 - 40470*a**2/11 + 3544*a + 1368/11 = 0?
-2/59, 1, 342
Factor 2*z**3/3 - 101*z**2/3 + 242*z/3 - 32.
(z - 48)*(z - 2)*(2*z - 1)/3
Factor 2*n**2/15 - 7124*n/15 - 4752/5.
2*(n - 3564)*(n + 2)/15
Find t, given that -4*t**2 - 436*t + 5280 = 0.
-120, 11
Factor 2*n**2/9 - 23984*n/9 + 55930/3.
2*(n - 11985)*(n - 7)/9
Suppose -4*p**5/5 + 503*p**4/5 - 471*p**3/5 - 709*p**2 + 6511*p/5 - 2994/5 = 0. What is p?
-3, 1, 2, 499/4
Let -4*t**4 + 57688*t**3 - 208224708*t**2 + 1663029664*t - 3324214336 = 0. What is t?
4, 7207
Factor -610*y**2 - 221432*y/3 - 242/3.
-2*(y + 121)*(915*y + 1)/3
Factor 3*l**2 + 1490610*l + 1490607.
3*(l + 1)*(l + 496869)
Suppose 4*r**2 - 4280*r + 4276 = 0. What is r?
1, 1069
Determine o so that -5*o**2 + 8275*o - 65880 = 0.
8, 1647
Let -25*y**3 + 142860*y**2 - 3045965*y + 1195530 = 0. What is y?
2/5, 21, 5693
Factor f**3 - 1447*f**2 - 8713*f - 7265.
(f - 1453)*(f + 1)*(f + 5)
Factor -4*w**2 + 6904*w + 2590524.
-4*(w - 2043)*(w + 317)
Suppose 30752*i**2/5 - 1600592*i/5 + 20827058/5 = 0. Calculate i.
3227/124
Factor -12482*f**2 - 781152*f - 12221568.
-2*(79*f + 2472)**2
Find n, given that -n**4/7 + 3140*n**3/7 + 37804*n**2/7 + 63040*n/7 = 0.
-10, -2, 0, 3152
Factor b**3 + 43325*b**2 + 469285568*b + 469242244.
(b + 1)*(b + 21662)**2
Factor -w**3 + 834*w**2 - 179580*w + 2353400.
-(w - 410)**2*(w - 14)
Determine w so that -w**2 + 2249*w - 8980 = 0.
4, 2245
Factor 5*n**3 - 171930*n**2 + 1477308285*n + 11829472360.
5*(n - 17197)**2*(n + 8)
Let -2*i**2/17 + 21440*i/17 + 42888/17 = 0. What is i?
-2, 10722
Factor -5*d**3/2 + 273*d**2/4 - 1701*d/4 + 243/2.
-(d - 18)*(d - 9)*(10*d - 3)/4
Solve q**3 + 675*q**2/8 - 219*q/4 - 1105/8 = 0 for q.
-85, -1, 13/8
Suppose 4*j**3 + 772*j**2 - 3136*j + 3152 = 0. Calculate j.
-197, 2
Determine c so that -3*c**2 - 6831*c - 320976 = 0.
-2229, -48
Factor -2*w**2 - 676482*w - 676480.
-2*(w + 1)*(w + 338240)
Factor -13*d**3 + 3118*d**2 - 2627*d - 478.
-(d - 239)*(d - 1)*(13*d + 2)
Find y such that y**2 + 1037314*y + 269005083649 = 0.
-518657
Let -h**2/2 + 24134*h - 291224978 = 0. Calculate h.
24134
Factor w**4/4 - 2284*w**3 + 5325136*w**2 - 495536640*w + 11767910400.
(w - 4520)**2*(w - 48)**2/4
Factor 4*g**2/5 - 3276*g/5 - 6568/5.
4*(g - 821)*(g + 2)/5
Suppose -4*u**3 + 398*u**2/5 + 284*u + 138/5 = 0. What is u?
-3, -1/10, 23
Let -u**4 - 524*u**3 + 539*u**2 + 7326*u - 12600 = 0. Calculate u.
-525, -4, 2, 3
Solve 2*c**2/7 - 47668*c/7 - 95344/7 = 0.
-2, 23836
Factor 5*s**3 - 91285*s**2 + 416875680*s - 2082096900.
5*(s - 9126)**2*(s - 5)
Let -3*f**5 + 135*f**4 - 2058*f**3 + 11808*f**2 - 16416*f = 0. Calculate f.
0, 2, 12, 19
Factor r**4 + 2799*r**3 - 11207*r**2 + 14013*r - 5606.
(r - 2)*(r - 1)**2*(r + 2803)
Factor q**3/7 + 3972*q**2/7.
q**2*(q + 3972)/7
What is q in q**2 + 156*q + 5984 = 0?
-88, -68
Factor -f**3 + 11652*f**2 - 23300*f.
-f*(f - 11650)*(f - 2)
Solve -2*t**5/13 - 480*t**4/13 - 24634*t**3/13 + 509468*t**2/13 - 943104*t/13 + 458752/13 = 0 for t.
-128, 1, 14
Solve -4*g**5 + 940*g**4 + 11716*g**3 + 34628*g**2 - 11712*g - 35568 = 0.
-6, -1, 1, 247
Determine c, given that -c**3 - 3934*c**2 + 7872*c = 0.
-3936, 0, 2
Suppose 3*t**5/8 + 3*t**4/8 - 153*t**3/8 + 141*t**2/8 + 75*t/4 - 18 = 0. What is t?
-8, -1, 1, 6
Suppose 2*f**2 - 554146*f + 1108284 = 0. What is f?
2, 277071
Solve -2*b**4/3 - 892*b**3/3 - 6514*b**2 - 11844*b = 0 for b.
-423, -21, -2, 0
Factor 2*c**2/5 - 46342*c/5 - 37080.
2*(c - 23175)*(c + 4)/5
Factor -j**4 + 176*j**3 - 693*j**2 + 862*j - 344.
-(j - 172)*(j - 2)*(j - 1)**2
Let 3*z**5 + 24*z**4 - 36924*z**3 - 66*z**2 + 110793*z - 73830 = 0. What is z?
-115, -2, 1, 107
Factor -4*q**2 + 18276*q.
-4*q*(q - 4569)
Factor 4*a**2 - 2204*a - 2208.
4*(a - 552)*(a + 1)
Suppose -2*j**2/9 + 33134*j/9 + 33136/9 = 0. What is j?
-1, 16568
What is t in 3*t**4/4 + 13509*t**3/2 - 27033*t**2/4 - 27018*t + 27021 = 0?
-9007, -2, 1, 2
Suppose 4*x**2 - 455400*x + 12961822500 = 0. What is x?
56925
Suppose 4*q**4/7 + 27560*q**3/7 = 0. What is q?
-6890, 0
Factor -4*c**3 - 512*c**2 - 18320*c - 136000.
-4*(c + 10)*(c + 50)*(c + 68)
Factor m**3/2 - 387*m**2/2 - 20576*m - 20382.
(m - 474)*(m + 1)*(m + 86)/2
Factor -2*k**3/9 + 130*k**2/3 + 14528*k/9.
-2*k*(k - 227)*(k + 32)/9
What is x in -2*x**2/5 - 4611432*x/5 - 2658163136328/5 = 0?
-1152858
Solve 2*b**5/7 - 148*b**4/7 + 3224*b**3/7 - 17100*b**2/7 - 84474*b/7 = 0 for b.
-3, 0, 19, 39
Factor -3*l**2/7 - 351*l/7 + 15762.
-3*(l - 142)*(l + 259)/7
Factor -h**3 + 66654*h**2 + 266628*h + 266632.
-(h - 66658)*(h + 2)**2
Suppose c**3/4 - 25*c**2/2 - 150*c = 0. Calculate c.
-10, 0, 60
Suppose 29929*c**4 + 747533*c**3 - 1633462*c**2 + 37468*c - 216 = 0. What is c?
-27, 2/173, 2
Suppose -s**4/3 - 6956*s**3/3 + 20890*s**2 - 104468*s/3 + 48755/3 = 0. What is s?
-6965, 1, 7
Solve 2*a**3/5 + 100388*a**2/5 + 602274*a/5 + 903384/5 = 0 for a.
-50188, -3
Determine s, given that 45*s**4 - 9010*s**3 - 150640*s**2 - 588160*s + 138240 = 0.
-8, 2/9, 216
Suppose -2*m**5/9 + 100*m**4/9 + 80*m**3/3 - 1660*m**2/9 - 238*m/9 + 520/3 = 0. What is m?
-5, -1, 1, 3, 52
Factor -5*v**3 - 81500*v**2 - 81495*v.
-5*v*(v + 1)*(v + 16299)
Let -j**3 - 93*j**2 + 1449*j - 5243 = 0. What is j?
-107, 7
What is y in y**4/6 - 248*y**3/3 + 6331*y**2/3 + 248*y/3 - 4221/2 = 0?
-1, 1, 27, 469
Determine x, given that -2*x**3/9 + 4672*x**2/3 - 2770010*x + 145074348 = 0.
54, 3477
What is c in -5*c**2 - 880*c - 27200 = 0?
-136, -40
What is b in -2*b**3/3 + 1486*b**2 + 5952*b + 17864/3 = 0?
-2, 2233
Suppose -2*f**3/5 - 14826*f**2/5 - 29644*f/5 = 0. Calculate f.
-7411, -2, 0
Suppose 3*k**4 - 153759*k**3 - 1384074*k**2 = 0. Calculate k.
-9, 0, 51262
Factor -3*h**3/2 + 777*h/2 - 765.
-3*(h - 15)*(h - 2)*(h + 17)/2
Factor j**3/4 - 151*j**2/2 + 5775*j - 11250.
(j - 150)**2*(j - 2)/4
Solve -4*q**4 + 100*q**3 - 348*q**2 + 252*q = 0 for q.
0, 1, 3, 21
Factor -5*m**2 + 235*m - 2210.
-5*(m - 34)*(m - 13)
Let 81*h**2 - 111705*h + 8274 = 0. Calculate h.
2/27, 1379
Determine b, given that 2*b**4/3 - 104*b**3 - 13338*b**2 + 127980*b = 0.
-90, 0, 9, 237
Suppose 2*q**5/11 + 180*q**4 + 3954*q**3/11 + 1976*q**2/11 = 0. Calculate q.
-988, -1, 0
Factor 2*n**3/3 + 30*n**2 - 62*n + 94/3.
2*(n - 1)**2*(n + 47)/3
Factor -4*k**5 - 9956*k**4 - 59628*k**3 - 89388*k**2.
-4*k**2*(k + 3)**2*(k + 2483)
Factor d**5 - 2082*d**4 + 4160*d**3 + 2*d**2 - 4161*d + 2080.
(d - 2080)*(d - 1)**3*(d + 1)
What is l in l**5/7 - 13*l**4 + 2841*l**3/7 - 35249*l**2/7 + 142370*l/7 - 165048/7 = 0?
2, 4, 23, 39
Determine u so that -4*u**3/5 + 2532*u**2/5 + 8336*u - 93456/5 = 0.
-18, 2, 649
Solve t**5/3 + 2*t**4 - 41*t**3/3 - 38*t**2 + 148*t/3 + 120 = 0.
-9, -2, 2, 5
Find g such that 42*g**5/5 - 2298*g**4/5 + 32226*g**3/5 - 21222*g**2/5 - 8748*g/5 = 0.
-2/7, 0, 1, 27
Factor 2*i**2/5 + 166*i - 5052/5.
2*(i - 6)*(i + 421)/5
Let 6*k**3 + 2313*k**2 - 3510*k - 10449 = 0. Calculate k.
-387, -3/2, 3
Find o, given that -o**3/8 - 27*o**2/8 + 625*o/8 + 2091/8 = 0.
-41, -3, 17
Factor 5*l**2 - 77970*l + 623440.
5*(l - 15586)*(l - 8)
Solve -46*h**4/5 + 48*h**3/5 + 42*h**2/5 - 44*h/5 = 0.
-22/23, 0, 1
Factor -w**2/3 + 178*w + 1072/3.
-(w - 536)*(w + 2)/3
Let -8*q**5 - 1406*q**4/5 + 154*q**3/5 + 12794*q**2/5 + 1854*q/5 - 252 = 0. What is q?
-35, -3, -2/5, 1/4, 3
Let 5*b**2 - 20855*b + 456390 = 0. What is b?
22, 4149
Solve s**5 - 2772*s**4 + 1904256*s**3 + 23251968*s**2 = 0.
-12, 0, 1392
Find y, given that -2*y**5/9 + 116*y**4/9 - 398*y**3/3 + 120*y**2 = 0.
0, 1, 12, 45
Solve -z**2/4 - 34089*z/4 + 34093 = 0 for z.
-34093, 4
Factor 5*f**4 - 2865*f**3 + 406090*f**2 + 1238400*f + 829440.
5*(f - 288)**2*(f + 1)*(f + 2