m**2/3 + 6672*m = 0.
-1, 0, 36/7, 139
Find y such that 12*y**5 - 39*y**4 - 8433*y**3 + 2199*y**2 + 29481*y + 18900 = 0.
-25, -1, 9/4, 28
Solve 4*u**2 - 452*u - 7112 = 0.
-14, 127
Determine f, given that -4*f**3 - 460*f**2 - 2784*f + 25920 = 0.
-108, -12, 5
Factor r**4/7 - 40*r**3/7 + 58*r**2 - 1560*r/7 + 2025/7.
(r - 27)*(r - 5)**2*(r - 3)/7
Factor 2*i**3/17 - 456*i**2/17 + 32712*i/17 - 706880/17.
2*(i - 94)**2*(i - 40)/17
Let -i**4/9 - 71*i**3/9 - 1247*i**2/9 - 6985*i/9 - 1936/3 = 0. What is i?
-48, -11, -1
Determine q so that -153*q**5/2 + 4125*q**4/2 + 4599*q**3/2 - 3957*q**2/2 - 2223*q - 84 = 0.
-1, -2/51, 1, 28
Factor -2*o**2/3 + 2240212*o/3 - 627318725618/3.
-2*(o - 560053)**2/3
Let 4*n**5 - 1408*n**4 - 17292*n**3 - 65320*n**2 - 72800*n = 0. What is n?
-5, -2, 0, 364
Find p, given that p**4/4 - 27*p**3 - 403*p**2/2 + 27*p + 805/4 = 0.
-7, -1, 1, 115
Solve -35*m**3 + 9235*m**2 - 788765*m + 21982125 = 0.
73, 825/7
Factor -x**3/5 - 344121*x**2/5 + 137649*x - 344123/5.
-(x - 1)**2*(x + 344123)/5
Find r, given that -4*r**5 + 248*r**4 + 276*r**3 - 1496*r**2 - 1040*r + 2016 = 0.
-2, 1, 2, 63
Find q such that q**3/6 - 511*q**2/2 + 161265*q/2 + 82755409/6 = 0.
-121, 827
Determine h, given that 2*h**2 - 2500*h - 5008 = 0.
-2, 1252
What is k in -193085*k**3 - 6210*k**2 + 555*k + 20 = 0?
-1/23, 4/73
Factor -4*o**4 + 156*o**3 + 4644*o**2 + 4484*o.
-4*o*(o - 59)*(o + 1)*(o + 19)
Let 2*g**4/11 + 18*g**3/11 - 252*g**2/11 - 1160*g/11 - 1200/11 = 0. Calculate g.
-15, -2, 10
Factor 2*j**3 + 286*j**2 + 13110*j + 188442.
2*(j + 29)*(j + 57)**2
Factor 3*g**2/2 - 159*g + 5355/2.
3*(g - 85)*(g - 21)/2
Solve 4*o**5 - 152*o**4 + 936*o**3 - 2176*o**2 + 2132*o - 744 = 0 for o.
1, 2, 3, 31
Suppose 2*i**3 + 176*i**2 = 0. What is i?
-88, 0
Determine t so that -2*t**3/13 - 88*t**2/13 - 250*t/13 - 164/13 = 0.
-41, -2, -1
Suppose -3*q**2/2 - 1383*q + 31152 = 0. What is q?
-944, 22
Factor s**3/8 - 189*s**2/4 + 34071*s/8 - 33319/4.
(s - 233)*(s - 143)*(s - 2)/8
Let 3*h**4/2 + 2967*h**3 + 3106983*h**2/2 + 85360590*h + 1241569350 = 0. What is h?
-959, -30
Let -y**3/4 - 11*y**2/2 + 197*y/4 - 87/2 = 0. Calculate y.
-29, 1, 6
Factor -15*z**2/7 - 318*z/7 + 19521/7.
-3*(z - 27)*(5*z + 241)/7
Let 5*u**4/4 - 495*u**3/4 + 1875*u**2/4 + 2375*u/4 = 0. What is u?
-1, 0, 5, 95
Determine k so that k**5 + 9*k**4 - 126*k**3 - 1004*k**2 + 3720*k + 21600 = 0.
-10, -4, 6, 9
Factor 2*g**3 - 26892*g**2 - 53790*g - 26896.
2*(g - 13448)*(g + 1)**2
Factor -22294*f**2/11 - 200650*f/11 - 36/11.
-2*(f + 9)*(11147*f + 2)/11
Let 32*h**4 - 15084*h**3 + 50512*h**2 + 15084*h - 50544 = 0. Calculate h.
-1, 1, 27/8, 468
Let f**5/8 - 61*f**4/2 + 10783*f**3/8 - 11985*f**2/2 = 0. Calculate f.
0, 5, 51, 188
Solve -12*s**3/11 - 3714*s**2/11 - 154734*s/11 - 76440/11 = 0 for s.
-260, -49, -1/2
Suppose m**3/3 - 208*m**2/3 + 7052*m/3 - 13280/3 = 0. Calculate m.
2, 40, 166
Determine w, given that -8*w**5/5 - 190*w**4 + 20887*w**3/5 + 3733669*w**2/5 - 937259*w/5 - 467339/5 = 0.
-89, -1/4, 1/2, 59
Solve 5*r**3 + 10370*r**2 - 5*r - 10370 = 0.
-2074, -1, 1
Factor -35*u**2 - 189010*u - 54000.
-5*(u + 5400)*(7*u + 2)
What is t in -t**4/2 - 369*t**3/2 + 1308*t**2 - 3002*t + 2256 = 0?
-376, 2, 3
Factor 2*z**2/13 - 317340*z/13 + 317338/13.
2*(z - 158669)*(z - 1)/13
Find h such that -h**2/5 - 181*h/5 - 4998/5 = 0.
-147, -34
Suppose 24*v**4/11 - 734*v**3/11 - 323*v**2/11 + 404*v/11 - 31/11 = 0. Calculate v.
-1, 1/12, 1/2, 31
Find q, given that 2*q**2 - 234496*q + 6873546752 = 0.
58624
Factor -p**2/3 + 121*p/3 - 580/3.
-(p - 116)*(p - 5)/3
Suppose -3*w**3 + 270771*w**2 + 541551*w + 270777 = 0. What is w?
-1, 90259
Suppose -5*w**2/3 - 1617*w + 28304/3 = 0. What is w?
-976, 29/5
Suppose 4*m**2 - 18924*m + 245336 = 0. Calculate m.
13, 4718
Find k, given that -4*k**5/7 + 2192*k**4/7 - 406080*k**3/7 + 26438400*k**2/7 - 186624000*k/7 = 0.
0, 8, 180
Factor 4*n**2 + 4859*n - 6080.
(n + 1216)*(4*n - 5)
Solve 3*d**3/4 - 22047*d**2/4 + 44085*d/4 - 22041/4 = 0 for d.
1, 7347
Factor 3*v**3/8 - 789*v**2/8 - 1197*v/4.
3*v*(v - 266)*(v + 3)/8
Factor 2*x**2 + 286*x - 8788.
2*(x - 26)*(x + 169)
Suppose -3*v**4 - 2295*v**3 - 8901*v**2 + 175791*v = 0. Calculate v.
-761, -11, 0, 7
Factor k**4 + 51*k**3 - 159*k**2 + 161*k - 54.
(k - 1)**3*(k + 54)
Factor 2*c**4/3 + 440*c**3/3 - 1356*c**2 + 4104*c - 4122.
2*(c - 3)**3*(c + 229)/3
Find p, given that -529*p**2 + 1867830*p - 1648766025 = 0.
40605/23
Solve -121*b**4/5 + 1287*b**3/5 + 33876*b**2/5 + 12188*b/5 + 1104/5 = 0 for b.
-12, -2/11, 23
Suppose 175*y**4 + 15936705*y**3 - 1821353*y**2 - 1183869*y + 182134 = 0. Calculate y.
-91067, -2/7, 1/5
Find l, given that 2*l**4/5 - 420*l**3 + 18778*l**2/5 - 8328*l = 0.
0, 4, 5, 1041
Factor -18*u**2/17 + 44196*u/17 - 27128978/17.
-2*(3*u - 3683)**2/17
Determine w so that -2*w**4 - 54*w**3 - 208*w**2 + 264*w = 0.
-22, -6, 0, 1
Factor 26*z**2/5 + 11106*z/5 + 1708/5.
2*(z + 427)*(13*z + 2)/5
Suppose 3*w**4 + 258*w**3 - 813*w**2 - 1068*w = 0. What is w?
-89, -1, 0, 4
Find q, given that 2*q**4 - 87058*q**3 - 2*q**2 + 87058*q = 0.
-1, 0, 1, 43529
Find t, given that t**2 + 125*t - 6194 = 0.
-163, 38
Factor c**3 + 687*c**2 - 29808*c + 29120.
(c - 40)*(c - 1)*(c + 728)
Factor g**2/3 - 137*g/3 + 90.
(g - 135)*(g - 2)/3
Determine n, given that -2*n**3 - 52*n**2 + 720*n = 0.
-36, 0, 10
Find q, given that 3*q**4/4 - 1551*q**3/4 + 252495*q**2/4 - 10123149*q/4 - 231259899/2 = 0.
-26, 181
Factor -9*h**2 + 12477*h + 8322.
-3*(h - 1387)*(3*h + 2)
What is a in -2*a**3 + 974*a**2 + 55672*a + 206976 = 0?
-48, -4, 539
Find p such that -p**5/3 - 17*p**4/3 + 2333*p**3/3 + 843*p**2 - 9348*p = 0.
-57, -4, 0, 3, 41
What is z in 2*z**5/5 + 12014*z**4/5 - 156406*z**3/5 + 137218*z**2 - 228740*z + 120400 = 0?
-6020, 1, 2, 5
Factor -i**4/3 - 356*i**3 + 3231*i**2.
-i**2*(i - 9)*(i + 1077)/3
What is c in -2*c**2/3 - 7504*c/3 - 7038752/3 = 0?
-1876
Factor -k**4 - 39*k**3 - 163*k**2 + 5727*k + 23276.
-(k - 11)*(k + 4)*(k + 23)**2
Suppose -27482*k**5 + 153156*k**4 - 566982*k**3/7 + 79384*k**2/7 - 120*k/7 = 0. What is k?
0, 3/1963, 2/7, 5
Solve d**5/2 + 111*d**4/2 + 269*d**3 + 426*d**2 + 212*d = 0.
-106, -2, -1, 0
Determine v, given that -v**5/6 - 4*v**4/3 + 6*v**3 + 109*v**2/3 - 275*v/6 - 75 = 0.
-9, -5, -1, 2, 5
Determine x so that 2*x**2 - 35072*x + 153755648 = 0.
8768
Solve -4*c**4 + 2702*c**3 + 5415*c**2/4 - 4733*c/4 + 169 = 0 for c.
-1, 1/4, 676
Let -f**4/4 - 21*f**3 - 811*f**2/4 - 141*f + 365 = 0. Calculate f.
-73, -10, -2, 1
Factor 5*y**2 - 7870*y + 461465.
5*(y - 1513)*(y - 61)
Factor -2*o**4/9 + 110*o**3/3 - 10948*o**2/9.
-2*o**2*(o - 119)*(o - 46)/9
Factor -105*l**2 + 1842*l + 864.
-3*(l - 18)*(35*l + 16)
Factor -6853924*t**3 + 171337628*t**2 + 261796*t + 100.
-4*(t - 25)*(1309*t + 1)**2
Factor -7947*x**2 - 7950*x - 3.
-3*(x + 1)*(2649*x + 1)
Find f such that -3*f**2 - 194628*f + 389268 = 0.
-64878, 2
Suppose -3*v**2 + 265005*v + 265008 = 0. Calculate v.
-1, 88336
Suppose -3*q**2 + 63081*q + 252372 = 0. Calculate q.
-4, 21031
What is m in 4*m**4 - 976*m**3 - 3000*m**2 + 8912*m - 4940 = 0?
-5, 1, 247
Solve 2*s**5/5 + 46*s**4/15 - 68*s**3/5 - 308*s**2/5 + 2246*s/15 - 78 = 0.
-9, -5, 1, 13/3
Solve -w**5/4 - 173*w**4/4 - 1443*w**3 + 4724*w**2 - 176*w - 6300 = 0 for w.
-126, -50, -1, 2
Determine i so that 4*i**5 - 488*i**4 + 9640*i**3 - 53472*i**2 + 79956*i - 35640 = 0.
1, 6, 15, 99
Find p such that -p**5/3 + 17*p**4 + 6*p**3 - 950*p**2/3 + 549*p - 255 = 0.
-5, 1, 3, 51
Factor 82*b**3 - 6318*b**2 + 18512*b - 888.
2*(b - 74)*(b - 3)*(41*b - 2)
Determine k, given that -k**3/4 - 55*k**2/4 - 107*k - 161 = 0.
-46, -7, -2
Find s, given that -2*s**3 + 1388*s**2 - 24498*s + 109512 = 0.
9, 676
Let -213*n**3 - 5961*n**2 + 84*n = 0. What is n?
-28, 0, 1/71
Factor 2*s**2/5 - 388*s/5 - 784/5.
2*(s - 196)*(s + 2)/5
Determine p, given that -2*p**2/3 + 334*p - 3912 = 0.
12, 489
Factor -2*w**3/3 - 156*w**2 + 2894*w/3 + 1120.
-2*(w - 7)*(w + 1)*(w + 240)/3
Suppose 10*j**5/11 - 454*j**4/11 + 3260*j**3/11 - 5672*j**2/11 + 1776*j/11 = 0. What is j?
0, 2/5, 2, 6, 37
Determine t, given that -3*t**2 - 2190*t + 61317 = 0.
-757, 27
Factor n**3/6 - 12353*n**2/6 - 55640*n/3 + 135982/3.
(n - 12362)*(n - 2)*(n + 11)/6
Factor -2*n**2/3 + 832*n/3 - 64478/3.
-2*(n - 313)*(n - 103)/3
Let -l**2 + 606*l + 37791 = 0. What is l