ctor 3*i**4/4 + 3*i**3/4 - 27*i**2/4 - 27*i/4.
3*i*(i - 3)*(i + 1)*(i + 3)/4
Factor 3*z**4/2 + 15*z**3/2 + 27*z**2/2 + 21*z/2 + 3.
3*(z + 1)**3*(z + 2)/2
Factor 4*i**3/5 - 36*i**2/5 + 56*i/5 + 96/5.
4*(i - 6)*(i - 4)*(i + 1)/5
Factor -5*u**2 - 450*u + 1395.
-5*(u - 3)*(u + 93)
Factor 2*q**2 + 40*q + 200.
2*(q + 10)**2
Find w, given that 6*w**3/7 + 120*w**2/7 - 6*w/7 - 120/7 = 0.
-20, -1, 1
Solve 6*j**4/5 + 314*j**3/3 + 14372*j**2/5 + 119808*j/5 + 5184 = 0 for j.
-36, -15, -2/9
Factor 3*j**2/5 + 678*j/5 + 38307/5.
3*(j + 113)**2/5
Find z such that 3*z**4/2 + 5*z**3/4 - 9*z**2/2 - 27*z/4 - 5/2 = 0.
-1, -5/6, 2
Factor -2*u**4/9 - 64*u**3/3 - 4412*u**2/9 + 3136*u/3 - 4802/9.
-2*(u - 1)**2*(u + 49)**2/9
Suppose -5*n**3 + 35*n + 30 = 0. Calculate n.
-2, -1, 3
Find d, given that -2*d**3 + 2*d**2 + 8*d - 8 = 0.
-2, 1, 2
Let -63*m**5 - 130*m**4 - 67*m**3 + 4*m**2 + 4*m = 0. Calculate m.
-1, -2/7, 0, 2/9
Factor r**2/2 - 69*r - 139/2.
(r - 139)*(r + 1)/2
Factor 4*x**4/9 - 347*x**3/9 + 593*x**2/9 + 170*x/9.
x*(x - 85)*(x - 2)*(4*x + 1)/9
Factor -2*a**4 + 20*a**3 + 74*a**2 + 52*a.
-2*a*(a - 13)*(a + 1)*(a + 2)
Determine i so that i**4/2 + 175*i**3 + 30273*i**2/2 - 30800*i + 15488 = 0.
-176, 1
Factor r**2/5 - 114*r/5 - 23.
(r - 115)*(r + 1)/5
Suppose -l**4 + 40*l**3 - 594*l**2 + 3888*l - 9477 = 0. What is l?
9, 13
Factor 3*t**2/8 - 615*t/4 + 126075/8.
3*(t - 205)**2/8
Determine l, given that l**4 - 36*l**3 - 81*l**2 + 184*l + 228 = 0.
-3, -1, 2, 38
What is b in 2*b**2/11 + 4816*b/11 + 4814/11 = 0?
-2407, -1
Factor -10*j**2 - 10064*j - 4024.
-2*(j + 1006)*(5*j + 2)
Solve 2*v**5/11 + 32*v**4/11 + 174*v**3/11 + 376*v**2/11 + 280*v/11 = 0 for v.
-7, -5, -2, 0
Factor -3*y**2/5 + 18*y/5.
-3*y*(y - 6)/5
Let -c**5/3 - 8*c**4/3 - 13*c**3/3 + 26*c**2/3 + 64*c/3 + 32/3 = 0. What is c?
-4, -1, 2
Suppose 4*i**3 - 1812*i**2 - 7296*i - 7312 = 0. Calculate i.
-2, 457
Factor 4*q**3 - 22*q**2 - 46*q + 28.
2*(q - 7)*(q + 2)*(2*q - 1)
Suppose 4*g**5 + 18*g**4 - 168*g**3 - 472*g**2 + 2112*g + 1152 = 0. Calculate g.
-6, -1/2, 4
Solve -2*u**2 + 16*u - 14 = 0.
1, 7
Suppose 45*q**5 + 120*q**4 - 445*q**3 + 380*q**2 - 100*q = 0. Calculate q.
-5, 0, 2/3, 1
Factor -676*r**2/5 - 1144*r - 2420.
-4*(13*r + 55)**2/5
Determine q, given that q**3 - 67*q**2 + 66*q = 0.
0, 1, 66
Factor 2*l**2 - 24*l + 40.
2*(l - 10)*(l - 2)
Factor -2*a**4 - 312*a**3 - 1518*a**2 - 1208*a.
-2*a*(a + 1)*(a + 4)*(a + 151)
What is p in 4*p**3/9 - 92*p**2/9 + 284*p/9 + 380/9 = 0?
-1, 5, 19
Factor a**4/2 - 45*a**3/8 + 177*a**2/8 - 37*a + 45/2.
(a - 5)*(a - 2)**2*(4*a - 9)/8
Factor p**5/2 - 12*p**4 + 96*p**3 - 256*p**2.
p**2*(p - 8)**3/2
Factor 3*h**3 + 447*h**2 + 15960*h - 51984.
3*(h - 3)*(h + 76)**2
Find p, given that 3*p**3 - 3420*p**2 + 6831*p - 3414 = 0.
1, 1138
Solve 2*b**2 + 2820*b - 5648 = 0 for b.
-1412, 2
Factor 4*b**4 + 28*b**3 + 72*b**2 + 80*b + 32.
4*(b + 1)*(b + 2)**3
Factor g**2/5 - 17*g - 744/5.
(g - 93)*(g + 8)/5
What is q in -5*q**4 - 35*q**3 - 75*q**2 - 65*q - 20 = 0?
-4, -1
What is p in p**5/4 - 9*p**4/4 + 7*p**3 - 9*p**2 + 4*p = 0?
0, 1, 2, 4
Solve 3*w**4 - 558*w**3 - 2265*w**2 - 2844*w - 1140 = 0 for w.
-2, -1, 190
Factor 3*p**3 + 1005*p**2 - 4056*p + 4068.
3*(p - 2)**2*(p + 339)
Solve -3364*p**5/3 + 60001*p**4/3 - 87454*p**3 - 16089*p**2 + 5292*p + 972 = 0.
-6/29, 1/4, 9
Factor n**5 + 35*n**4 + 322*n**3 + 288*n**2.
n**2*(n + 1)*(n + 16)*(n + 18)
What is p in 3*p**5 - 36*p**4 - 81*p**3 - 42*p**2 = 0?
-1, 0, 14
What is l in 4*l**2 + 123*l - 160 = 0?
-32, 5/4
Solve -12*l**4 + 56*l**3 - 80*l**2 + 32*l = 0 for l.
0, 2/3, 2
Factor -k**3/3 - 50*k**2 - 1924*k - 10952/3.
-(k + 2)*(k + 74)**2/3
Find o such that o**4/4 - 7*o**3/4 - 7*o**2 - 5*o = 0.
-2, -1, 0, 10
Suppose 2*o**5/7 + 32*o**4/7 - 2*o**3/7 - 32*o**2/7 = 0. What is o?
-16, -1, 0, 1
Factor -z**2 - 41*z.
-z*(z + 41)
Suppose 4*r**5 + 24*r**4 - 4*r**3 - 24*r**2 = 0. Calculate r.
-6, -1, 0, 1
Factor -108*a**2 + 12*a - 1/3.
-(18*a - 1)**2/3
Factor -s**5/9 - 301*s**4/9 - 23098*s**3/9 - 67498*s**2/9 - 66901*s/9 - 22201/9.
-(s + 1)**3*(s + 149)**2/9
Solve 3*z**5/4 - 30*z**3 + 135*z**2/2 + 405*z/4 - 567/2 = 0.
-7, -2, 3
Find l such that -3*l**3 + 15*l**2 - 9*l - 27 = 0.
-1, 3
Factor i**3/7 - 36*i**2/7 + 65*i/7 + 102/7.
(i - 34)*(i - 3)*(i + 1)/7
Factor -c**3/5 - 765*c**2 - 975375*c - 414534375.
-(c + 1275)**3/5
Factor 29*m**2/5 - 201*m/5 - 14/5.
(m - 7)*(29*m + 2)/5
Factor 3*m**2/8 - 195*m/8 + 189/4.
3*(m - 63)*(m - 2)/8
Let -5*d**4 + 5*d**2 = 0. What is d?
-1, 0, 1
Let -5*c**2 + 50*c - 80 = 0. Calculate c.
2, 8
Suppose b**4 - 161*b**3 + 8892*b**2 - 181168*b + 703040 = 0. Calculate b.
5, 52
Solve -6*r**2/11 - 408*r/11 + 414/11 = 0 for r.
-69, 1
Suppose -4*g**3 - 32*g**2 + 172*g + 440 = 0. What is g?
-11, -2, 5
Determine y, given that 2*y**5/11 + 18*y**4/11 + 60*y**3/11 + 8*y**2 + 48*y/11 = 0.
-3, -2, 0
Factor b**4/5 - 7*b**3/5 + 6*b**2/5.
b**2*(b - 6)*(b - 1)/5
Solve 2*t**4/3 + 140*t**3 - 850*t**2/3 - 140*t + 848/3 = 0 for t.
-212, -1, 1, 2
Determine l, given that l**4 - 53*l**3 - 3*l**2 + 157*l + 106 = 0.
-1, 2, 53
Solve z**5/2 + 7*z**4/2 - 67*z**3 - 145*z**2 + 6325*z/2 - 15125/2 = 0 for z.
-11, 5
Find l, given that -2*l**3 + 14*l**2 = 0.
0, 7
Determine c, given that -3*c**4 + 48*c**3 - 69*c**2 - 1020*c - 900 = 0.
-3, -1, 10
Let 2*a**5/21 - 82*a**4/21 - 170*a**3/21 - 86*a**2/21 = 0. What is a?
-1, 0, 43
Factor -5*y**2 + 1090*y + 3315.
-5*(y - 221)*(y + 3)
Factor 3*c**5/4 - 15*c**4/4 + 9*c**3/4 + 27*c**2/4.
3*c**2*(c - 3)**2*(c + 1)/4
Find h, given that h**5 + 14*h**4 + 35*h**3 + 22*h**2 = 0.
-11, -2, -1, 0
Solve -6*j**5 - 39*j**4/2 + 399*j**3/2 - 237*j**2 - 72*j = 0.
-8, -1/4, 0, 2, 3
Factor -2*q**2/11 - 208*q/11 - 206/11.
-2*(q + 1)*(q + 103)/11
Factor 2*z**3 + 464*z**2 - 1888*z.
2*z*(z - 4)*(z + 236)
Solve 4*m**3 + 2368*m**2 - 4748*m + 2376 = 0.
-594, 1
Find h such that -48*h**5 - 15020*h**4 + 46664*h**3 - 32868*h**2 - 1256*h + 2528 = 0.
-316, -1/4, 1/3, 1, 2
Find h, given that 2*h**4/19 + 6*h**3/19 - 8*h/19 = 0.
-2, 0, 1
Suppose -361*t**3 + 152*t**2 - 16*t = 0. What is t?
0, 4/19
Factor -20*o**3 - 92*o**2 + 40*o.
-4*o*(o + 5)*(5*o - 2)
Let 4*j**3 - 1028*j**2 + 5016*j + 6048 = 0. What is j?
-1, 6, 252
Factor 2*x**3/5 + 12*x**2/5 - 22*x.
2*x*(x - 5)*(x + 11)/5
Factor -m**2 - 2282*m - 1301881.
-(m + 1141)**2
Suppose -9*d**4/4 + 867*d**3/4 - 2817*d**2/4 + 2517*d/4 - 279/2 = 0. Calculate d.
1/3, 1, 2, 93
Suppose -2*t**3 + 1158*t**2 - 167040*t - 168200 = 0. Calculate t.
-1, 290
Factor 3*n**3 + 18*n**2 - 96.
3*(n - 2)*(n + 4)**2
Solve o**5/5 - 6*o**4/5 + 4*o**3/5 + 6*o**2/5 - o = 0.
-1, 0, 1, 5
What is l in -4*l**5 + 40*l**4 - 124*l**3 + 88*l**2 + 128*l - 128 = 0?
-1, 1, 2, 4
Factor -14*v**3 - 452*v**2 + 8062*v + 2340.
-2*(v - 13)*(v + 45)*(7*v + 2)
Factor 2*g**2/11 + 216*g/11 + 424/11.
2*(g + 2)*(g + 106)/11
Determine p so that -26*p**2/11 + 100*p/11 + 16/11 = 0.
-2/13, 4
Suppose -4*r**5 - 1364*r**4 + 1372*r**3 + 1364*r**2 - 1368*r = 0. Calculate r.
-342, -1, 0, 1
Suppose 2*f**2/9 + 424*f/9 + 418/3 = 0. Calculate f.
-209, -3
Find m such that m**4/2 + 15*m**3 - 63*m**2/2 + 16*m = 0.
-32, 0, 1
Factor 28*o**3/3 - 8*o**2/3 - 700*o/3 + 200/3.
4*(o - 5)*(o + 5)*(7*o - 2)/3
Let 3*z**3/7 - 15*z**2/7 + 18*z/7 = 0. Calculate z.
0, 2, 3
Solve d**2/4 - 2*d - 5 = 0 for d.
-2, 10
Let -5*x**3 + 175*x**2 - 335*x + 165 = 0. Calculate x.
1, 33
Find f such that f**3 + 6*f**2 + 12*f + 8 = 0.
-2
Factor -3*u**2/8 - 165*u/8 + 1089/4.
-3*(u - 11)*(u + 66)/8
Factor -5*z**3 - 2465*z**2 + 4945*z - 2475.
-5*(z - 1)**2*(z + 495)
Find t, given that -4*t**5 - 4*t**4 + 80*t**3 - 64*t**2 - 256*t + 320 = 0.
-5, -2, 2
Let -3*r**3 + 60*r**2 - 141*r - 204 = 0. What is r?
-1, 4, 17
Find l such that l**2/3 - 10*l/3 - 56/3 = 0.
-4, 14
Find g, given that g**2/2 + 214*g + 427/2 = 0.
-427, -1
Let -2*z**2 - 36*z + 5456 = 0. What is z?
-62, 44
Factor -4*u**2 + 18560*u - 21529600.
-4*(u - 2320)**2
Factor -3*y**2 + 4947*y - 9882.
-3*(y - 1647)*(y - 2)
Find i, given that -i**3/2 + 11*i**2 - 37*i/2 - 30 = 0.
-1, 3, 20
Determine m, given that -5*m**5/2 - 203*m**4 - 5508*m**3 - 50301*m**2 - 19683*m/2 = 0.
-27, -1/5, 0
Factor -4*o**5 - 8*o**4 + 12*o**3.
-4*o**3*(o - 1)*(o + 3)
Find p such that 546*p**2 + 550*p + 4 = 0.
-1, -2/273
Find w such that w**2/8 + 3*w/8 - 9/4 = 0.
-6, 3
Let 10952*f**5/17 + 319