*v/2 - 21 = 0.
-7, -1, 1, 2
Factor 5*u**2/2 + 45*u/2 - 25.
5*(u - 1)*(u + 10)/2
Suppose -l**3 - 19*l**2 - 90*l - 72 = 0. What is l?
-12, -6, -1
Suppose a**2/3 - 49*a/3 + 598/3 = 0. Calculate a.
23, 26
What is u in 4*u**2 - 696*u + 30276 = 0?
87
Factor i**2/2 + 241*i/2 - 121.
(i - 1)*(i + 242)/2
Factor 3*c**5/7 + 39*c**4/7 + 201*c**3/7 + 513*c**2/7 + 648*c/7 + 324/7.
3*(c + 2)**2*(c + 3)**3/7
Suppose -3*m**3/8 + 63*m**2/8 + 69*m/4 = 0. What is m?
-2, 0, 23
Factor -8*z**4/7 + 78*z**3/7 + 20*z**2/7.
-2*z**2*(z - 10)*(4*z + 1)/7
Suppose 2*v**2/9 + 52*v/9 + 50/9 = 0. Calculate v.
-25, -1
Factor -h**4/7 - 23*h**3/7 - 152*h**2/7 - 220*h/7.
-h*(h + 2)*(h + 10)*(h + 11)/7
What is f in -4*f**3 + 36*f**2 + 2128*f = 0?
-19, 0, 28
Factor 10*t**5 + 321*t**4/4 + 242*t**3 + 326*t**2 + 168*t + 4.
(t + 2)**4*(40*t + 1)/4
Factor -675*k**4/8 + 315*k**3 - 249*k**2 - 84*k - 6.
-3*(k - 2)**2*(15*k + 2)**2/8
Factor 3*k**5 + 312*k**4 + 309*k**3.
3*k**3*(k + 1)*(k + 103)
Factor 2*a**5/11 + 2*a**4/11 - 2*a**3/11 - 2*a**2/11.
2*a**2*(a - 1)*(a + 1)**2/11
Determine i, given that -i**2/2 + 13*i/2 + 15 = 0.
-2, 15
Factor -3*a**3/5 + 339*a**2/5 + 342*a/5.
-3*a*(a - 114)*(a + 1)/5
What is u in u**5 - 120*u**4 + 3478*u**3 + 7320*u**2 + 3721*u = 0?
-1, 0, 61
Factor 3*r**2 - 405*r + 402.
3*(r - 134)*(r - 1)
Suppose 4*t**2 + 8336*t + 4343056 = 0. What is t?
-1042
Find q, given that -3*q**2 - 57*q - 252 = 0.
-12, -7
What is f in -f**3/2 + 3*f**2/2 - f = 0?
0, 1, 2
What is c in -2*c**4/13 - 4*c**3 - 94*c**2/13 + 4*c + 96/13 = 0?
-24, -2, -1, 1
Factor -2*u**5 + 36*u**4 - 64*u**3 - 4*u**2 + 66*u - 32.
-2*(u - 16)*(u - 1)**3*(u + 1)
Suppose 3*j**4/5 + 336*j**3/5 - 207*j**2 = 0. Calculate j.
-115, 0, 3
Factor o**4/4 + 40*o**3 + 6237*o**2/4 - 6561*o/2.
o*(o - 2)*(o + 81)**2/4
Factor 64*g**2 + 376*g + 2209/4.
(16*g + 47)**2/4
What is h in -2*h**4/11 - 2274*h**3/11 = 0?
-1137, 0
Factor 25*y**3 + 1405*y**2 - 1430*y.
5*y*(y - 1)*(5*y + 286)
Factor 3*x**3 - 162*x**2 + 99*x + 3180.
3*(x - 53)*(x - 5)*(x + 4)
Factor -6*a**3/5 - 156*a**2/5 + 162*a/5.
-6*a*(a - 1)*(a + 27)/5
Factor -3*b**5 - 12*b**4 - 15*b**3 - 6*b**2.
-3*b**2*(b + 1)**2*(b + 2)
Let 58*n**4/3 + 521*n**3/3 + 803*n**2/3 - 14*n/3 = 0. Calculate n.
-7, -2, 0, 1/58
Factor 2*i**3 + 82*i**2 + 438*i + 630.
2*(i + 3)**2*(i + 35)
Suppose f**4/4 + 37*f**3 + 2907*f**2/2 + 22253*f + 476561/4 = 0. What is f?
-97, -17
Let -4*c**3 + 320*c**2 - 316*c = 0. What is c?
0, 1, 79
Find u, given that -u**4/10 - 9*u**3/10 + 29*u**2/10 + 81*u/10 + 22/5 = 0.
-11, -1, 4
Factor -3*m**5 - 2445*m**4 - 494490*m**3 + 1498170*m**2 - 1503075*m + 501843.
-3*(m - 1)**3*(m + 409)**2
Solve -w**4/4 + 7*w**3/4 - 9*w**2/4 - 7*w/4 + 5/2 = 0.
-1, 1, 2, 5
Factor -2*j**2/5 + 56*j/5 + 58/5.
-2*(j - 29)*(j + 1)/5
Determine w, given that -3*w**2 - 549*w - 546 = 0.
-182, -1
Determine v so that 2*v**2/13 + 80*v/13 + 6 = 0.
-39, -1
Factor -2*r**3 - 18*r**2 + 68*r - 48.
-2*(r - 2)*(r - 1)*(r + 12)
Suppose -2*m**3/9 + 46*m**2/9 - 172*m/9 - 544/9 = 0. Calculate m.
-2, 8, 17
Solve 4*p**5 - 80*p**4 + 576*p**3 - 1640*p**2 + 700*p + 3000 = 0.
-1, 5, 6
Find k, given that 3*k**2/4 + 153*k/4 + 330 = 0.
-40, -11
Factor t**2 - 9*t + 20.
(t - 5)*(t - 4)
Determine n, given that -28*n**5/9 - 176*n**4/9 + 932*n**3/9 - 1064*n**2/9 + 176*n/9 + 160/9 = 0.
-10, -2/7, 1, 2
What is v in -v**2/3 + 1190*v/3 + 2384/3 = 0?
-2, 1192
Suppose 6*x**5 - 3*x**4 - 162*x**3 + 381*x**2 - 294*x + 72 = 0. What is x?
-6, 1/2, 1, 4
Factor 1600*g**5 + 720*g**4 + 96*g**3 + 4*g**2.
4*g**2*(4*g + 1)*(10*g + 1)**2
Factor -7*h**2 + 86*h + 456.
-(h + 4)*(7*h - 114)
Suppose -8*b**5 + 12*b**4 + 40*b**3 - 32*b - 12 = 0. Calculate b.
-1, -1/2, 1, 3
Factor 2*m**3/9 - 1196*m**2/9 - 4808*m/9 - 4816/9.
2*(m - 602)*(m + 2)**2/9
Factor -43864129*a**2/4 + 6623*a - 1.
-(6623*a - 2)**2/4
Suppose -3*g**4 - 228*g**3 - 4554*g**2 - 8436*g - 4107 = 0. What is g?
-37, -1
Factor f**3 + 341*f**2 + 679*f + 339.
(f + 1)**2*(f + 339)
Solve -2*t**4 + 8*t**3 + 90*t**2 = 0.
-5, 0, 9
Suppose 3*a**5 - 2997*a**4/7 - 49053*a**3/7 - 259995*a**2/7 - 69300*a - 118500/7 = 0. Calculate a.
-5, -2/7, 158
Find d such that -3*d**2 - 151*d - 50 = 0.
-50, -1/3
Factor y**5/6 + 47*y**4/3 + 496*y**3 + 16337*y**2/3 + 29791*y/6.
y*(y + 1)*(y + 31)**3/6
Let s**3 + 13*s**2 + 31*s - 45 = 0. What is s?
-9, -5, 1
Factor -c**5/6 + 10*c**4/3 - 13*c**3 - 110*c**2/3 - 121*c/6.
-c*(c - 11)**2*(c + 1)**2/6
Factor 2*t**2 + 758*t + 1508.
2*(t + 2)*(t + 377)
Factor 4*f**5/9 + 88*f**4/9 - 100*f**3/3.
4*f**3*(f - 3)*(f + 25)/9
Determine d so that -d**5 + 7*d**4 - 3*d**3 - 19*d**2 + 4*d + 12 = 0.
-1, 1, 2, 6
Factor 20*n**2 + 572*n - 232.
4*(n + 29)*(5*n - 2)
Find m such that -4*m**3 - 1072*m**2 - 71824*m = 0.
-134, 0
Factor k**5/3 + 2*k**4/3 - 7*k**3/3 - 20*k**2/3 - 4*k.
k*(k - 3)*(k + 1)*(k + 2)**2/3
Determine s, given that 27*s**4/5 + 207*s**3/5 + 66*s**2/5 - 396*s/5 + 168/5 = 0.
-7, -2, 2/3
Determine q so that q**5 + 504*q**4 + 64006*q**3 + 126504*q**2 + 63001*q = 0.
-251, -1, 0
Determine p so that -180*p**4 - 777*p**3 - 942*p**2 - 204*p + 24 = 0.
-2, -2/5, 1/12
Determine z, given that -2*z**5/19 + 26*z**3/19 - 32*z**2/19 - 24*z/19 + 32/19 = 0.
-4, -1, 1, 2
Determine l, given that 5*l**5 - 165*l**4 + 465*l**3 - 455*l**2 + 150*l = 0.
0, 1, 30
Factor 5*h**4 + 10*h**3 + 5*h**2.
5*h**2*(h + 1)**2
Factor -9*c**5/7 - 48*c**4/7 - 45*c**3/7 + 54*c**2/7.
-3*c**2*(c + 3)**2*(3*c - 2)/7
Solve 10*u**2/3 + 106*u/9 + 32/9 = 0 for u.
-16/5, -1/3
Find d such that d**3/6 - 10*d**2/3 - d/6 + 10/3 = 0.
-1, 1, 20
Factor -b**4 - 111*b**3 - 3240*b**2 - 8748*b.
-b*(b + 3)*(b + 54)**2
Solve -2*l**5/3 - 22*l**4/3 - 18*l**3 - 50*l**2/3 - 16*l/3 = 0 for l.
-8, -1, 0
Let -5*u**2/4 + 335*u/2 = 0. Calculate u.
0, 134
Determine p, given that p**4/2 + 9*p**3/2 - 63*p**2/2 - 149*p/2 - 39 = 0.
-13, -1, 6
Factor 3*o**4 + 35*o**3 + 51*o**2 + 9*o - 10.
(o + 1)**2*(o + 10)*(3*o - 1)
Determine r so that 3*r**2 - 1653*r + 3294 = 0.
2, 549
Let -4*p**5 - 228*p**4 - 3356*p**3 - 2908*p**2 + 3360*p + 3136 = 0. What is p?
-28, -1, 1
Suppose 9*v**5 + 60*v**4 + 141*v**3 + 126*v**2 + 12*v - 24 = 0. What is v?
-2, -1, 1/3
Find a such that 3*a**5 - 3*a**4 - 9*a**3 + 3*a**2 + 6*a = 0.
-1, 0, 1, 2
Factor 5*a**2 - 1820*a + 165620.
5*(a - 182)**2
What is r in -3*r**5 + 45*r**4 + 51*r**3 - 45*r**2 - 48*r = 0?
-1, 0, 1, 16
Factor 125*v**4 - 975*v**3 - 1530*v**2 + 1660*v - 360.
5*(v - 9)*(v + 2)*(5*v - 2)**2
Factor a**2/3 + 1598*a + 1915203.
(a + 2397)**2/3
Factor c**3/4 + 3*c**2 + 23*c/4 - 9.
(c - 1)*(c + 4)*(c + 9)/4
Factor 12*r**4 + 273*r**3 - 69*r**2.
3*r**2*(r + 23)*(4*r - 1)
Factor 9*p**3 - 321*p**2 + 3111*p - 4335.
3*(p - 17)**2*(3*p - 5)
Factor -b**4/2 - 55*b**3/2 - 1071*b**2/2 - 8381*b/2 - 9826.
-(b + 4)*(b + 17)**3/2
Factor -3*z**4 + 9*z**2 - 6*z.
-3*z*(z - 1)**2*(z + 2)
Suppose -83*k**4/3 + 2326*k**3/3 - 1485*k**2 + 2264*k/3 - 52/3 = 0. Calculate k.
2/83, 1, 26
Find n such that 3*n**2/7 - 60*n/7 + 108/7 = 0.
2, 18
Factor -2*t**5/5 + 58*t**4/5 - 596*t**3/5 + 2484*t**2/5 - 3402*t/5 + 1458/5.
-2*(t - 9)**3*(t - 1)**2/5
Factor -a**4/2 - 21*a**3/2 + 23*a**2.
-a**2*(a - 2)*(a + 23)/2
Determine t, given that -2*t**2 + 424*t - 1664 = 0.
4, 208
Solve m**3/2 + 3*m**2 - 19*m/2 - 12 = 0.
-8, -1, 3
Find u, given that 4*u**2/5 - 816*u/5 - 164 = 0.
-1, 205
Factor 4*w**5 - 24*w**4 + 32*w**3.
4*w**3*(w - 4)*(w - 2)
Determine s, given that -2*s**3/13 + 8*s**2 + 214*s/13 + 108/13 = 0.
-1, 54
Determine s so that -5*s**2 + 1880*s - 176720 = 0.
188
Solve -9*j**4/2 + 453*j**3/2 + 163*j**2 - 514*j + 204 = 0 for j.
-2, 2/3, 51
Factor -z**2/3 - 58*z/3 + 61.
-(z - 3)*(z + 61)/3
What is z in 3*z**3/2 + 225*z**2/2 - 231*z = 0?
-77, 0, 2
Suppose v**2 + 57*v + 162 = 0. What is v?
-54, -3
What is h in 4*h**4 + 120*h**3 + 1072*h**2 + 2184*h - 3380 = 0?
-13, -5, 1
Factor -y**2/3 + 26*y/3 - 35.
-(y - 21)*(y - 5)/3
Find j such that 2*j**4/3 + 2*j**3/3 - 14*j**2/3 - 2*j/3 + 4 = 0.
-3, -1, 1, 2
Factor -o**3 - 9*o**2/2 - 7*o/2 + 3.
-(o + 2)*(o + 3)*(2*o - 1)/2
Solve 2*d**2/17 + 140*d - 2382/17 = 0.
-1191, 1
Determine u, given that 144*u**5/5 - 984*u**4/5 - 183*u**3/5 + 102*u**2/5 + 21*u/5 = 0.
-1/4, 0, 1/3, 7
Factor -5*m**3 + 5*m**2 + 100*m.
-5*m*(m - 5)*(m + 4)
Factor s**2 + 124*s + 3844.
(s + 62)**2
Factor f**3 + 49*f**2 + 95*f + 47.
(f + 1)**2*(f + 47)
Factor 2