rmine o so that 2*o**2/7 - 18*o/7 + 36/7 = 0.
3, 6
Find o such that 2*o**4/3 - 64*o**3/3 + 148*o**2 + 1088*o/3 + 578/3 = 0.
-1, 17
Factor z**4 + 34*z**3 + 213*z**2 - 1292*z + 1444.
(z - 2)**2*(z + 19)**2
Find g, given that 80*g**3 - 280*g**2 + 285*g - 90 = 0.
3/4, 2
Factor n**3/2 + 639*n**2/2 + 102399*n/2 + 101761/2.
(n + 1)*(n + 319)**2/2
Determine v so that v**4/6 + 4*v**3 + 103*v**2/6 + 26*v + 38/3 = 0.
-19, -2, -1
Factor 6*w**4/11 + 10*w**3/11 - 4*w**2/11.
2*w**2*(w + 2)*(3*w - 1)/11
Factor -3*m**3 - 42*m**2 + 936*m.
-3*m*(m - 12)*(m + 26)
Factor 3*u**3 - 87*u**2 - 183*u - 93.
3*(u - 31)*(u + 1)**2
Factor 4*o**3 + 1424*o**2 + 126736*o.
4*o*(o + 178)**2
Factor 2*q**4 - 7*q**3 + 6*q**2 + q - 2.
(q - 2)*(q - 1)**2*(2*q + 1)
Factor -25*c**2 - 10305*c + 8260.
-5*(c + 413)*(5*c - 4)
Solve -5*o**3 + 20*o**2 + 55*o + 30 = 0.
-1, 6
Factor -3*v**3/8 + 57*v**2/8 + 24*v + 33/2.
-3*(v - 22)*(v + 1)*(v + 2)/8
Find b, given that b**3/5 + 11*b**2 + 107*b/5 + 53/5 = 0.
-53, -1
Determine x, given that x**3/4 - 3*x**2 - 420*x + 8624 = 0.
-44, 28
Factor -35*t**5/3 - 15*t**4 - 10*t**3/3.
-5*t**3*(t + 1)*(7*t + 2)/3
Factor 4*c**5 - 24*c**4 + 8*c**3 + 80*c**2 - 108*c + 40.
4*(c - 5)*(c - 1)**3*(c + 2)
Factor i**2/3 + i - 6.
(i - 3)*(i + 6)/3
Suppose 5*k**3 - 315*k**2 = 0. Calculate k.
0, 63
Find v, given that v**2/6 - 235*v/3 + 469/6 = 0.
1, 469
Find g, given that 4*g**4/7 - 104*g**3/7 + 96*g**2 - 920*g/7 - 1700/7 = 0.
-1, 5, 17
Determine x, given that -x**2 - 13*x + 48 = 0.
-16, 3
Determine a, given that -3*a**4/7 - 243*a**3/7 + 747*a**2/7 - 753*a/7 + 36 = 0.
-84, 1
Find v such that 2*v**3/9 + 44*v**2/9 + 50*v/3 + 12 = 0.
-18, -3, -1
Factor -k**4/3 + 56*k**3/3 - 212*k**2/3 + 208*k/3.
-k*(k - 52)*(k - 2)**2/3
Find c, given that 5*c**4 - 30*c**3 + 25*c**2 = 0.
0, 1, 5
What is y in -4*y**3 + 84*y**2 + 384*y - 11264 = 0?
-11, 16
Determine p so that 2*p**4/5 + 68*p**3/5 - 2854*p**2/5 - 58344*p/5 + 1472328/5 = 0.
-39, 22
What is w in w**2 - 174*w + 7569 = 0?
87
Let -9*t**3 + 43*t**2 - 44*t - 12 = 0. Calculate t.
-2/9, 2, 3
Factor 4*j**3 - 12336*j**2 + 12681408*j - 4345495808.
4*(j - 1028)**3
Suppose -3*g**2 + 2118*g - 2115 = 0. What is g?
1, 705
Factor -9*l**3 - 546*l**2 - 891*l - 354.
-3*(l + 1)*(l + 59)*(3*l + 2)
Suppose 2*h**5/3 + 562*h**4/3 - 190*h**3 - 1690*h**2/3 + 568*h/3 + 376 = 0. Calculate h.
-282, -1, 1, 2
Factor -4*y**2 - 112*y - 208.
-4*(y + 2)*(y + 26)
What is z in -294*z**5/5 + 602*z**4 - 30326*z**3/15 + 2614*z**2 - 5264*z/5 + 392/3 = 0?
2/7, 7/3, 5
Factor 3*w**3/5 - 159*w**2/5 + 465*w - 1125.
3*(w - 25)**2*(w - 3)/5
Suppose 45*r**2 + 87*r - 6 = 0. What is r?
-2, 1/15
Factor z**3 - 84*z**2 - 4*z + 336.
(z - 84)*(z - 2)*(z + 2)
Let -300*o**5/7 + 1515*o**4/7 - 324*o**3 + 1389*o**2/7 - 372*o/7 + 36/7 = 0. What is o?
1/4, 2/5, 1, 3
Solve 2*t**5/3 - 8*t**4/3 + 20*t**2/3 - 2*t/3 - 4 = 0 for t.
-1, 1, 2, 3
Let z**2 + 638*z + 637 = 0. What is z?
-637, -1
Solve -98*p**4/11 + 224*p**3/11 - 156*p**2/11 + 32*p/11 - 2/11 = 0 for p.
1/7, 1
Let 2*a**3/9 - 34*a**2/9 - 18*a - 14 = 0. Calculate a.
-3, -1, 21
Determine t so that -t**2/2 + 10*t + 22 = 0.
-2, 22
Determine t so that 3*t**4 + 3*t**3 - 3*t**2 - 3*t = 0.
-1, 0, 1
Suppose -2*h**2/7 + 5220*h/7 - 3406050/7 = 0. What is h?
1305
Determine h so that 5*h**5 + 10*h**4 - 35*h**3 + 20*h**2 = 0.
-4, 0, 1
Suppose -2*q**4 - 14*q**3 - 12*q**2 = 0. Calculate q.
-6, -1, 0
Let -2*l**5/7 + 60*l**4/7 - 8*l**3 - 60*l**2/7 + 58*l/7 = 0. Calculate l.
-1, 0, 1, 29
Let 42*l**4/11 - 3870*l**3/11 + 89424*l**2/11 - 12696*l/11 = 0. Calculate l.
0, 1/7, 46
What is k in k**4/11 - 17*k**3/11 + 93*k**2/11 - 175*k/11 + 98/11 = 0?
1, 2, 7
Find y such that -3*y**2 + 42*y - 144 = 0.
6, 8
Factor -h**5 + 8*h**4 - 6*h**3 - 8*h**2 + 7*h.
-h*(h - 7)*(h - 1)**2*(h + 1)
Factor 4*a**3/7 - 1104*a**2/7 + 101568*a/7 - 3114752/7.
4*(a - 92)**3/7
Factor -2*v**4/7 + 600*v**3/7 - 47336*v**2/7 + 350400*v/7 - 682112/7.
-2*(v - 146)**2*(v - 4)**2/7
Determine g so that 8*g**4 - 22*g**3 - 28*g**2 + 78*g - 36 = 0.
-2, 3/4, 1, 3
Let -4*f**5 + 60*f**4 + 88*f**3 - 384*f**2 = 0. Calculate f.
-3, 0, 2, 16
Factor c**4/7 - 33*c**3/7 + 121*c**2/7 - 21*c + 58/7.
(c - 29)*(c - 2)*(c - 1)**2/7
Find v, given that -2*v**3/5 - 10*v**2 - 136*v/5 - 88/5 = 0.
-22, -2, -1
Factor -2*u**3/19 - 16*u**2/19.
-2*u**2*(u + 8)/19
Find w such that 4*w**4 - 12*w**3 - 96*w**2 - 112*w = 0.
-2, 0, 7
Factor 2*g**2 - 620*g + 1842.
2*(g - 307)*(g - 3)
Factor 5*l**5 - 80*l**3 + 190*l**2 - 165*l + 50.
5*(l - 2)*(l - 1)**3*(l + 5)
Find h, given that 18*h**5 + 5466*h**4 + 417680*h**3 + 412232*h**2 = 0.
-454/3, -1, 0
Determine f so that -2*f**3/15 - 256*f**2/15 + 86*f/5 = 0.
-129, 0, 1
Factor -4*q**3 - 16*q**2 + 4*q + 16.
-4*(q - 1)*(q + 1)*(q + 4)
Factor -d**2/5 + 2*d - 24/5.
-(d - 6)*(d - 4)/5
Determine d, given that 104*d**5/9 + 202*d**4/9 - 4*d**3/3 - 208*d**2/9 - 92*d/9 + 2/3 = 0.
-1, 3/52, 1
What is o in 4*o**4 + 172*o**3 - 552*o**2 = 0?
-46, 0, 3
Determine g so that 2*g**2 + 170*g - 172 = 0.
-86, 1
Solve 2*q**5/7 + 2*q**4/7 - 26*q**3/7 - 2*q**2/7 + 96*q/7 - 72/7 = 0.
-3, 1, 2
Factor -3*n**4 + 6*n**3 + 36*n**2 - 120*n + 96.
-3*(n - 2)**3*(n + 4)
Find c, given that -3*c**5/2 + 21*c**3/2 - 9*c**2 = 0.
-3, 0, 1, 2
Determine f so that 2*f**3/7 - 606*f**2/7 + 61206*f/7 - 2060602/7 = 0.
101
Factor 3*o**3 + 1335*o**2 + 155589*o + 1553937.
3*(o + 11)*(o + 217)**2
Suppose -2*l**4/7 - 634*l**3/7 - 50560*l**2/7 - 49928*l/7 = 0. What is l?
-158, -1, 0
Find o such that o**5/2 + 33*o**4 - o**3 - 66*o**2 + o/2 + 33 = 0.
-66, -1, 1
Factor -3*k**3/5 - 618*k**2/5 - 1227*k/5 - 612/5.
-3*(k + 1)**2*(k + 204)/5
Find k such that -2125*k**3 - 4950*k**2 - 1365*k + 1960 = 0.
-7/5, 8/17
Factor i**3/3 + 80*i**2/3 - 599*i/3 + 290.
(i - 5)*(i - 2)*(i + 87)/3
Find l, given that -l**2 - 35*l - 34 = 0.
-34, -1
Suppose 2*o**2 + 824*o + 84872 = 0. What is o?
-206
Factor 5*d**3 - 15*d**2 - 20*d.
5*d*(d - 4)*(d + 1)
Find l, given that 2*l**5/7 + 4*l**4 + 122*l**3/7 + 232*l**2/7 + 200*l/7 + 64/7 = 0.
-8, -2, -1
What is s in 2*s**4/11 + 364*s**3/11 + 16922*s**2/11 + 32760*s/11 + 16200/11 = 0?
-90, -1
Factor 3*v**2 - 1344*v + 2676.
3*(v - 446)*(v - 2)
Suppose -p**3/2 + 5*p**2/4 + 3*p/4 = 0. What is p?
-1/2, 0, 3
Factor 2*l**2/5 - 42*l/5 + 136/5.
2*(l - 17)*(l - 4)/5
What is b in b**5/10 - b**4/10 - 3*b**3/10 + b**2/2 - b/5 = 0?
-2, 0, 1
Let -3*w**5 + 12*w**4 + 12*w**3 - 66*w**2 - 9*w + 54 = 0. Calculate w.
-2, -1, 1, 3
Factor r**2/6 - 734*r/3 + 269378/3.
(r - 734)**2/6
Find k such that 2*k**5/5 + 6*k**4/5 - 2*k**3/5 - 14*k**2/5 + 8/5 = 0.
-2, -1, 1
What is w in 4*w**3/5 + 24*w**2/5 + 36*w/5 + 16/5 = 0?
-4, -1
Solve 5*s**2 + 70*s - 160 = 0.
-16, 2
Factor 2*t**4/5 + 38*t**3/5 - 128*t**2/5 + 88*t/5.
2*t*(t - 2)*(t - 1)*(t + 22)/5
Suppose -5*b**2 + 14300*b - 10224500 = 0. Calculate b.
1430
Factor -3*m**3 + 51*m**2 - 114*m - 168.
-3*(m - 14)*(m - 4)*(m + 1)
Find z such that z**4 - 78*z**3 - 80*z**2 + 78*z + 79 = 0.
-1, 1, 79
Suppose 18*y**5 + 104*y**4 + 138*y**3 + 36*y**2 - 16*y = 0. What is y?
-4, -1, 0, 2/9
Let 36*w**5 - 24*w**4 - 32*w**3 + 24*w**2 - 4*w = 0. Calculate w.
-1, 0, 1/3, 1
Let 3*v**3/7 - 9*v**2/7 - 27*v/7 + 81/7 = 0. What is v?
-3, 3
Solve -2*b**3/9 - 2*b**2/3 - 2*b/3 - 2/9 = 0.
-1
Factor 4*m**4/7 - 408*m**3/7 + 10404*m**2/7.
4*m**2*(m - 51)**2/7
Find b such that -3*b**3 - 2100*b**2 - 8364*b - 8352 = 0.
-696, -2
Let 4*s**3 + 96*s**2 + 164*s - 264 = 0. Calculate s.
-22, -3, 1
Factor -5*l**3 - 351*l**2 + 356*l.
-l*(l - 1)*(5*l + 356)
Factor k**4/2 + 2*k**3 - 3*k**2/2 - 5*k + 4.
(k - 1)**2*(k + 2)*(k + 4)/2
What is d in -d**2/3 + 2524*d/3 - 1592644/3 = 0?
1262
Find m such that 4*m**2 + 2520*m + 396900 = 0.
-315
Factor 3*w**2/8 + 9*w/4 + 15/8.
3*(w + 1)*(w + 5)/8
Factor w**2/2 + 15*w/2 + 7.
(w + 1)*(w + 14)/2
Factor -2*c**3/5 - 1242*c**2/5 - 257094*c/5 - 17739486/5.
-2*(c + 207)**3/5
Determine v, given that -4*v**3 - 828*v**2 = 0.
-207, 0
Determine x, given that 3*x**3 - 267*x**2 - 270*x = 0.
-1, 0, 90
Let 20*b**2 + 82*b + 8 = 0. Calculate b.
-4, -1/10
Suppose -235*c**2 + 255*c - 20 = 0. What is c?
4/47, 1
Determine t, given that 2*t**4 + 2*t**3 - 80*t**2 - 224*t = 0.
-4, 0, 7
Suppose 7*n**5 + 5*n**4 - 9*n**3 - 5*n**2 + 2*n = 0. What is n?
-1, 0, 2/7, 1
Factor -2*x**3/3 + 1292*x**2/3 + 2590*x/3 + 432.
-2*(x - 648)*(x + 1)**2/