 160/3 = 0?
4, 80
Suppose -2*u**4/7 - 50*u**3/7 + 550*u**2 + 15750*u = 0. Calculate u.
-35, 0, 45
Solve -4*k**3 - 32*k**2 + 316*k - 280 = 0.
-14, 1, 5
Let -3*r**5/5 + 33*r**4 - 30*r**3 - 132*r**2 + 648*r/5 = 0. What is r?
-2, 0, 1, 2, 54
Factor -3*r**4/5 + 6*r**3/5 + 9*r**2/5 - 12*r/5 - 12/5.
-3*(r - 2)**2*(r + 1)**2/5
Factor -3*x**2/4 - 1317*x/4 + 330.
-3*(x - 1)*(x + 440)/4
Find j, given that -j**5 + 17*j**4 + 12*j**3 - 220*j**2 + 272*j = 0.
-4, 0, 2, 17
What is q in -2*q**3 - 708*q**2 - 62658*q = 0?
-177, 0
Factor -20*j**2 + 3184*j - 636.
-4*(j - 159)*(5*j - 1)
Factor -z**2 - 27*z - 72.
-(z + 3)*(z + 24)
Solve -t**4 + 31*t**3 + 313*t**2 - 31*t - 312 = 0 for t.
-8, -1, 1, 39
Solve -2*n**5 - 2*n**4 + 2*n**3 + 2*n**2 = 0.
-1, 0, 1
Find m, given that -10*m**4 - 43*m**3 - 2*m**2 + 43*m + 12 = 0.
-4, -1, -3/10, 1
Factor -4*h**4/9 - 224*h**3/9 - 1568*h**2/3 - 43904*h/9 - 153664/9.
-4*(h + 14)**4/9
Let -27*i**3 + 19*i**2 + 43*i - 35 = 0. Calculate i.
-35/27, 1
Let -3*f**2 - 48*f + 891 = 0. Calculate f.
-27, 11
Find u such that -3*u**5 - 33*u**4/5 - 21*u**3/5 - 3*u**2/5 = 0.
-1, -1/5, 0
Factor 4*c**2 - 1022*c - 512.
2*(c - 256)*(2*c + 1)
Factor 7*r**5 - 69*r**4 + 242*r**3 - 342*r**2 + 135*r + 27.
(r - 3)**3*(r - 1)*(7*r + 1)
Factor -24*m**4 + 116*m**3 - 136*m**2.
-4*m**2*(m - 2)*(6*m - 17)
Find q, given that 140*q**4 + 7005*q**3 - 14320*q**2 - 1020*q + 1040 = 0.
-52, -2/7, 1/4, 2
Find r, given that r**2 + 240*r + 944 = 0.
-236, -4
Let m**2/3 + 2594*m + 5046627 = 0. Calculate m.
-3891
Factor 2*z**4/5 - 16*z**3/5 + 6*z**2 + 16*z/5 - 32/5.
2*(z - 4)**2*(z - 1)*(z + 1)/5
Let 9*s**4/4 + 15*s**3/2 + 27*s**2/4 + 3*s/2 = 0. Calculate s.
-2, -1, -1/3, 0
Factor 5*z**3 + 5110*z**2 - 5125*z - 10230.
5*(z - 2)*(z + 1)*(z + 1023)
Factor 2*t**4 + 496*t**3 + 30252*t**2 - 62000*t + 31250.
2*(t - 1)**2*(t + 125)**2
Factor 3*n**2/2 + 615*n - 1233/2.
3*(n - 1)*(n + 411)/2
Determine y so that -2*y**3/3 - 26*y**2 - 330*y - 1350 = 0.
-15, -9
Let -3*m**2/2 - 405*m/2 = 0. What is m?
-135, 0
Factor -2*a**3/3 + 2*a**2 + 2*a/3 - 2.
-2*(a - 3)*(a - 1)*(a + 1)/3
What is r in 4*r**5/7 + 44*r**4/7 + 100*r**3/7 - 124*r**2/7 - 248*r/7 + 32 = 0?
-7, -4, -2, 1
Suppose 2*r**3/3 + 22*r**2 - 46*r + 70/3 = 0. What is r?
-35, 1
What is l in l**3 - 111*l**2 - 457*l - 345 = 0?
-3, -1, 115
Determine z, given that -z**5/4 + 3*z**4/4 + 2*z**3 - 3*z**2 - 4*z = 0.
-2, -1, 0, 2, 4
Factor -2*c**5/3 + 46*c**4 - 3604*c**3/3 + 42772*c**2/3 - 68782*c + 167042/3.
-2*(c - 17)**4*(c - 1)/3
Factor 4*k**3 + 356*k**2 + 8096*k + 7744.
4*(k + 1)*(k + 44)**2
Suppose -2*j**3/9 - 46*j**2/3 - 832*j/9 + 248 = 0. Calculate j.
-62, -9, 2
Suppose -2*r**2 + 542*r - 1076 = 0. What is r?
2, 269
Factor -4*v**3 - 21*v**2 + 19*v + 6.
-(v - 1)*(v + 6)*(4*v + 1)
Factor -64*z**3 - 2848*z**2 + 1436*z - 180.
-4*(z + 45)*(4*z - 1)**2
Let -3*c**3 + 7230*c**2 + 7233*c = 0. What is c?
-1, 0, 2411
Factor -2*z**3 - 750*z**2 - 69936*z + 70688.
-2*(z - 1)*(z + 188)**2
Factor -2*o**3/9 - 38*o**2/9 - 128*o/9 - 40/3.
-2*(o + 2)**2*(o + 15)/9
Find c such that -2*c**4 + 4*c**3 + 26*c**2 - 76*c + 48 = 0.
-4, 1, 2, 3
Factor 18*n**4/7 + 312*n**3/7 + 1242*n**2/7 - 972*n/7.
6*n*(n + 9)**2*(3*n - 2)/7
Factor 2*q**2 + 724*q + 722.
2*(q + 1)*(q + 361)
Let -2*n**2 + 128*n = 0. What is n?
0, 64
Factor -2*t**3/9 + 58*t**2/3 - 1682*t/3 + 48778/9.
-2*(t - 29)**3/9
Solve -28*m**5 + 176*m**4 + 176*m**3 - 232*m**2 - 148*m + 56 = 0 for m.
-1, 2/7, 1, 7
Factor z**4/6 + 23*z**3/3 + 320*z**2/3 + 400*z.
z*(z + 6)*(z + 20)**2/6
Factor -j**4/3 + 2*j**3 + 9*j**2 - 36*j - 108.
-(j - 6)**2*(j + 3)**2/3
Factor d**3/5 - 38*d**2/5 + 44*d + 2904/5.
(d - 22)**2*(d + 6)/5
Suppose 9*m**2/7 - 33*m + 726/7 = 0. Calculate m.
11/3, 22
Find j such that 3*j**5 + 72*j**4 + 231*j**3 - 222*j**2 - 864*j - 480 = 0.
-20, -4, -1, 2
Factor -2*o**2/15 - 284*o/5 - 30246/5.
-2*(o + 213)**2/15
Solve -5*q**2 + 85*q - 150 = 0 for q.
2, 15
Determine t so that t**5 + 15*t**4 - 73*t**3 + 61*t**2 + 72*t - 76 = 0.
-19, -1, 1, 2
Factor -r**2/6 - 31*r/6 + 16/3.
-(r - 1)*(r + 32)/6
Factor 2*b**2 - 136*b + 134.
2*(b - 67)*(b - 1)
Factor -g**4/3 + 26*g**3/3 - 92*g**2/3 + 88*g/3.
-g*(g - 22)*(g - 2)**2/3
Determine f so that 15*f**5 + 39*f**4 - 63*f**3 - 147*f**2 - 24*f + 36 = 0.
-3, -1, 2/5, 2
Factor o**2/2 + 1368*o.
o*(o + 2736)/2
Solve -z**5 - 2*z**4 + 3*z**3 + 8*z**2 + 4*z = 0 for z.
-2, -1, 0, 2
Factor 3*t**2/2 - 165*t/2 - 84.
3*(t - 56)*(t + 1)/2
Factor 3*q**4 - 51*q**3 + 279*q**2 - 525*q + 294.
3*(q - 7)**2*(q - 2)*(q - 1)
Solve 2*g**2 - 118*g - 120 = 0 for g.
-1, 60
What is v in -2*v**4/7 - 20*v**3 - 2586*v**2/7 - 680*v - 2312/7 = 0?
-34, -1
Determine z, given that 2*z**5 - 2*z**4 - 48*z**3 + 56*z**2 + 256*z - 384 = 0.
-4, -3, 2, 4
Factor 5*w**3 + 50*w**2 - 55*w.
5*w*(w - 1)*(w + 11)
Factor 55*a**3 + 255*a**2 - 310*a.
5*a*(a - 1)*(11*a + 62)
Factor -s**3 + 31*s**2 - 58*s.
-s*(s - 29)*(s - 2)
Let -2*p**4/3 - 16*p**3/3 - 32*p**2/3 = 0. Calculate p.
-4, 0
Let -f**2 - 812*f - 811 = 0. What is f?
-811, -1
Factor b**3/2 + 234*b**2.
b**2*(b + 468)/2
Solve -3*a**5 - 3*a**4 + 75*a**3 + 75*a**2 = 0.
-5, -1, 0, 5
Factor -4*w**2 + 11756*w - 11752.
-4*(w - 2938)*(w - 1)
Solve -3*x**5/8 + 195*x**4/4 = 0.
0, 130
Factor -10*n**3 - 5*n**2 + 90*n + 45.
-5*(n - 3)*(n + 3)*(2*n + 1)
Find c such that -4*c**2 + 228*c + 720 = 0.
-3, 60
Factor -d**2 + 299*d.
-d*(d - 299)
Factor 18*k**4 - 22*k**3 + 4*k**2.
2*k**2*(k - 1)*(9*k - 2)
Determine m so that -2*m**2/3 + 454*m/3 - 448 = 0.
3, 224
Suppose -15*r**5 + 51*r**4 - 3*r**3 - 51*r**2 + 18*r = 0. Calculate r.
-1, 0, 2/5, 1, 3
Factor -g**5/9 + 47*g**4/9 + 251*g**3/9 + 461*g**2/9 + 362*g/9 + 104/9.
-(g - 52)*(g + 1)**3*(g + 2)/9
Solve 4*n**3/5 - 3*n**2 - 24*n/5 - 1 = 0 for n.
-1, -1/4, 5
Factor 4*u**4/3 + 40*u**3/3.
4*u**3*(u + 10)/3
Factor -m**3/3 - 86*m**2 - 171*m - 256/3.
-(m + 1)**2*(m + 256)/3
Solve -3*c**2 - 867*c = 0.
-289, 0
Solve -4*c**5/9 - 488*c**4/9 - 160*c**3 - 1432*c**2/9 - 476*c/9 = 0 for c.
-119, -1, 0
Determine a so that -3*a**4/2 - 12*a**3 + 183*a**2/2 - 78*a = 0.
-13, 0, 1, 4
Factor 4*n**4 - 20*n**3 + 36*n**2 - 28*n + 8.
4*(n - 2)*(n - 1)**3
Solve 10*i**2 - 24*i + 8 = 0 for i.
2/5, 2
Factor -m**3/4 - 121*m**2/4 - 555*m/2.
-m*(m + 10)*(m + 111)/4
Determine n so that 15*n**4/2 - 39*n**3/2 - 33*n**2/2 + 39*n/2 + 9 = 0.
-1, -2/5, 1, 3
Determine c, given that 28*c**5 - 71*c**4 + 4*c**3 + 67*c**2 - 32*c + 4 = 0.
-1, 1/4, 2/7, 1, 2
Determine l so that -2*l**5/11 - 4*l**4/11 + 2*l**3/11 + 4*l**2/11 = 0.
-2, -1, 0, 1
Factor -2*v**3 + 18*v**2 + 330*v - 3146.
-2*(v - 11)**2*(v + 13)
Factor -324*a**3/5 - 144*a**2/5 + 31*a - 5.
-(a + 1)*(18*a - 5)**2/5
Factor 10*s**3 - 155*s**2 + 75*s.
5*s*(s - 15)*(2*s - 1)
Determine z so that 25*z**2 - 2655*z - 2140 = 0.
-4/5, 107
Suppose 5*p**2 - 160*p + 300 = 0. What is p?
2, 30
Factor -4*o**4/5 + 84*o**3 - 828*o**2/5 + 412*o/5.
-4*o*(o - 103)*(o - 1)**2/5
Let 5*m**2 + 40*m = 0. Calculate m.
-8, 0
Let 280*q**3/9 + 23516*q**2/9 + 164528*q/3 - 784 = 0. What is q?
-42, 1/70
Factor t**4/5 - 608*t**3/5 + 24480*t**2 - 7990272*t/5 - 33958656/5.
(t - 204)**3*(t + 4)/5
Factor -3*c**3 - 306*c**2 + 1233*c/4 - 309/4.
-3*(c + 103)*(2*c - 1)**2/4
Determine h, given that 5*h**4 - 1110*h**3 + 60485*h**2 + 124320*h + 62720 = 0.
-1, 112
What is m in -2*m**3 - 34*m**2 - 110*m - 78 = 0?
-13, -3, -1
Factor 2*j**4/7 + 60*j**3/7 + 384*j**2/7 - 1024*j/7.
2*j*(j - 2)*(j + 16)**2/7
Factor 5*c**5 - 10*c**4 - 140*c**3 - 230*c**2 - 105*c.
5*c*(c - 7)*(c + 1)**2*(c + 3)
Find z, given that -2*z**2 - 4018*z - 4016 = 0.
-2008, -1
Suppose 24*n**4 + 114*n**3 + 147*n**2 + 30*n = 0. Calculate n.
-5/2, -2, -1/4, 0
Determine c so that -c**2 - 9*c + 10 = 0.
-10, 1
What is p in p**4/3 + 76*p**3/3 + 289*p**2/3 + 22*p - 144 = 0?
-72, -3, -2, 1
Suppose 3*y**3/5 - 1314*y**2 + 959220*y - 233410200 = 0. What is y?
730
Determine o, given that 69*o**4/7 - 270*o**3/7 + 183*o**2/7 + 18*o/7 = 0.
-2/23, 0, 1, 3
Determine i so that -i**5/2 + 69*i**4/2 + i**3 - 69*i**2 - i/2 + 69/2 = 0.
-1, 1, 69
Factor 3*l**3 - 45*l**2 - 12*l + 180.
3*(l - 15)*(l - 2)*(l + 2)
Determine v so that -v**5/3 + 3*v**4 + 4*v**3/3 - 52*v**2 + 48*v = 0.
-4, 0, 1, 6
Suppose -i**4/4 - 5*i**3/2 - 17*i**2/4 + 13*i + 15 = 0. Calculate i.
-6, -5, -1, 2
Let q**5/11 + 1431*q**4/11 + 511224*q**3/11 - 512656*q**2/11