*o**2 - 150*o + 405 = 0. Calculate o.
3, 27
Solve 2*u**4 - 642*u**2 - 4840*u - 4200 = 0.
-10, -1, 21
Factor 2*m**2 - 20*m/7 - 66/7.
2*(m - 3)*(7*m + 11)/7
Let -6*w**4 + 158*w**3 - 46*w**2 - 158*w + 52 = 0. What is w?
-1, 1/3, 1, 26
Factor h**4 + 15*h**3 - 17*h**2 - 15*h + 16.
(h - 1)**2*(h + 1)*(h + 16)
Factor -m**4/5 + 102*m**3/5 + 972*m**2/5 + 594*m + 2997/5.
-(m - 111)*(m + 3)**3/5
Factor -2*k**3/5 - 4*k**2/5 + 2*k/5 + 4/5.
-2*(k - 1)*(k + 1)*(k + 2)/5
Factor -8*q**4/15 - 106*q**3/15 - 26*q**2/15.
-2*q**2*(q + 13)*(4*q + 1)/15
What is q in -11*q**3 + 260*q**2 - 1727*q + 2178 = 0?
18/11, 11
Suppose -4*h**2/9 + 1048*h/3 - 68644 = 0. What is h?
393
Factor f**4/4 - 69*f**3/4 + 445*f**2/4 - 687*f/4 + 155/2.
(f - 62)*(f - 5)*(f - 1)**2/4
Let 2*m**2/7 - 94*m - 1992/7 = 0. What is m?
-3, 332
Find q such that -118*q**4 - 122*q**3 + 2828*q**2 - 4152*q - 144 = 0.
-6, -2/59, 2, 3
Factor -4*v**3 - 188*v**2 + 200*v + 384.
-4*(v - 2)*(v + 1)*(v + 48)
Factor 5*u**2 + 30*u + 40.
5*(u + 2)*(u + 4)
What is p in 16*p**2 + 67*p + 12 = 0?
-4, -3/16
Solve 5*s**3 - 185*s**2 - 805*s - 615 = 0.
-3, -1, 41
Factor -2*j**3 + 16*j**2.
-2*j**2*(j - 8)
Factor k**3/7 + 5*k**2/7 + 8*k/7 + 4/7.
(k + 1)*(k + 2)**2/7
Solve -4*p**2/7 - 2192*p/7 - 300304/7 = 0.
-274
Let -3*p**3 - 3384*p**2 - 1272384*p - 159472128 = 0. What is p?
-376
Factor -2*o**2/3 + 1060*o/3 + 2128/3.
-2*(o - 532)*(o + 2)/3
Factor 10*z**3 + 16*z**2 - 54*z - 36.
2*(z - 2)*(z + 3)*(5*z + 3)
Solve -115*v**2 - 2195*v - 190 = 0.
-19, -2/23
Solve 2*x**5 + 2*x**4 - 4*x**3 - 4*x**2 + 2*x + 2 = 0 for x.
-1, 1
Factor -5*i**5 + 65*i**4 - 210*i**3 + 290*i**2 - 185*i + 45.
-5*(i - 9)*(i - 1)**4
Factor 2*n**2 + 28*n/3 + 16/3.
2*(n + 4)*(3*n + 2)/3
Suppose 3*d**2/2 - 3900*d + 2535000 = 0. What is d?
1300
Factor l**3 - 47*l**2 - 101*l + 147.
(l - 49)*(l - 1)*(l + 3)
Find p, given that -5*p**2 + 220*p - 800 = 0.
4, 40
Determine j, given that -2*j**2 - 96*j + 200 = 0.
-50, 2
Factor -2*h**2/5 + 52*h/5 - 338/5.
-2*(h - 13)**2/5
Determine g, given that 2*g**2 - 88*g - 90 = 0.
-1, 45
Factor -j**2/2 + 174*j.
-j*(j - 348)/2
Determine z, given that z**4/7 - 10*z**3/7 + 23*z**2/7 + 10*z/7 - 24/7 = 0.
-1, 1, 4, 6
Suppose 2*k**3/11 - 926*k**2/11 + 1844*k/11 = 0. What is k?
0, 2, 461
Factor i**5 + 3*i**4 + 3*i**3 + i**2.
i**2*(i + 1)**3
Find l such that 12*l**4 + 184*l**3 + 592*l**2 - 480*l = 0.
-10, -6, 0, 2/3
Solve a**5 - 8*a**4 + 23*a**3 - 28*a**2 + 12*a = 0.
0, 1, 2, 3
Let 2*b**2 - 310*b - 312 = 0. What is b?
-1, 156
Factor -10*s**2/3 + 56*s - 90.
-2*(s - 15)*(5*s - 9)/3
Solve -4*d**3/5 - 2*d**2/5 + 6*d/5 = 0.
-3/2, 0, 1
Determine d, given that -d**2 + 6*d + 27 = 0.
-3, 9
Factor -51*v**3 + 1533*v**2 - 1569*v + 87.
-3*(v - 29)*(v - 1)*(17*v - 1)
Find z, given that 2*z**4/3 - 10*z**3/3 - 20*z**2/3 + 40*z/3 + 16 = 0.
-2, -1, 2, 6
Let d**2 + 115*d - 476 = 0. What is d?
-119, 4
Solve -15*c**3 - 198*c**2/7 - 48*c/7 = 0.
-8/5, -2/7, 0
Determine i so that -8*i**5 - 27*i**4 - 17*i**3 + 21*i**2 + 25*i + 6 = 0.
-2, -1, -3/8, 1
Factor x**4 + 47*x**3/3 + 73*x**2 + 91*x + 98/3.
(x + 1)*(x + 7)**2*(3*x + 2)/3
Factor 2*s**2/3 + 18*s + 52/3.
2*(s + 1)*(s + 26)/3
Solve -s**2/3 - 38*s/3 - 361/3 = 0.
-19
Factor 3*x**3 - 6*x**2 - 543*x + 546.
3*(x - 14)*(x - 1)*(x + 13)
Solve -3*y**3 + 57*y**2 + 1947*y + 1887 = 0 for y.
-17, -1, 37
Factor -a**2/5 + 2616*a/5.
-a*(a - 2616)/5
Factor 4*z**2 + 228*z - 1512.
4*(z - 6)*(z + 63)
Solve 2*p**4/7 + 6*p**3/7 - 22*p**2/7 - 6*p/7 + 20/7 = 0 for p.
-5, -1, 1, 2
Let 33*p**3/8 + 267*p**2/4 + 276*p + 48 = 0. Calculate p.
-8, -2/11
Find r such that -3*r**3 - 1764*r**2/5 - 1047*r/5 + 702/5 = 0.
-117, -1, 2/5
Factor 15*t**4 - 9*t**3 - 36*t**2 - 12*t.
3*t*(t - 2)*(t + 1)*(5*t + 2)
Determine b, given that b**2 - 5*b + 6 = 0.
2, 3
Find m, given that 2*m**5/5 + 4*m**4 + 62*m**3/5 + 12*m**2 = 0.
-5, -3, -2, 0
Factor -3*b**2/2 + 21*b/2 - 9.
-3*(b - 6)*(b - 1)/2
Let 15*m**5 + 12*m**4 - 63*m**3/5 - 12*m**2 - 12*m/5 = 0. What is m?
-1, -2/5, 0, 1
Find h such that 2*h**2 + 66*h + 64 = 0.
-32, -1
Determine p so that 8*p**2/17 - 6*p/17 - 2/17 = 0.
-1/4, 1
Suppose 19*z**5/6 + 173*z**4/6 + 3*z**3 - 342*z**2 - 36*z = 0. What is z?
-6, -2/19, 0, 3
What is s in -20*s**5 + 168*s**4 - 404*s**3 + 336*s**2 - 80*s = 0?
0, 2/5, 1, 2, 5
Determine o so that o**2/6 - 83*o/3 - 167/6 = 0.
-1, 167
Let 10*w**5 - 578*w**4 - 6712*w**3/5 + 6744*w**2/5 - 288*w = 0. What is w?
-3, 0, 2/5, 60
Factor p**2 + 80*p + 444.
(p + 6)*(p + 74)
Factor 7*d**2/3 + 134*d/3 + 80.
(d + 2)*(7*d + 120)/3
Determine l so that -3*l**3/4 + 51*l**2/2 - 1131*l/4 + 1014 = 0.
8, 13
Factor -2*p**2 + 11*p - 15.
-(p - 3)*(2*p - 5)
Suppose n**3/3 + 73*n**2/6 - 137*n/3 + 40 = 0. What is n?
-40, 3/2, 2
Solve -4*i**2 + 11976*i - 8964036 = 0.
1497
Factor -3*t**4/7 + 12*t**3/7 - 9*t**2/7.
-3*t**2*(t - 3)*(t - 1)/7
Find k, given that -2*k**2/15 + 358*k/15 - 236/5 = 0.
2, 177
What is r in -2*r**5 - 20*r**4 + 22*r**3 + 184*r**2 - 344*r + 160 = 0?
-10, -4, 1, 2
What is n in -3*n**4 + 114*n**3 + 1197*n**2 + 3336*n + 2256 = 0?
-4, -1, 47
Solve -3*w**2 - 246*w - 1155 = 0.
-77, -5
Solve 16*q**5 - 32*q**4 - 364*q**3 - 196*q**2 + 480*q - 144 = 0 for q.
-3, -2, 1/2, 6
What is d in d**2 - 34*d - 35 = 0?
-1, 35
Let 169*a**5/4 + 611*a**4/4 + 333*a**3/2 + 64*a**2 + 8*a = 0. Calculate a.
-2, -1, -4/13, 0
Solve -2*l**3 + 30*l**2 - 126*l + 162 = 0 for l.
3, 9
Let 3*g**2 - 2469*g - 7434 = 0. What is g?
-3, 826
Suppose -2*i**4/11 + 34*i**2/11 + 72*i/11 + 40/11 = 0. What is i?
-2, -1, 5
What is v in 4*v**2 + 8*v - 96 = 0?
-6, 4
Solve 42*y**2 + 15*y - 3 = 0 for y.
-1/2, 1/7
Factor 3*n**4 - 84*n**3 - 177*n**2 - 90*n.
3*n*(n - 30)*(n + 1)**2
What is h in 5*h**3 + 7160*h**2 - 14335*h + 7170 = 0?
-1434, 1
Factor -h**3 + 6*h**2.
-h**2*(h - 6)
Determine d, given that 4*d**5/7 + 8*d**4/7 - 12*d**3/7 - 32*d**2/7 - 16*d/7 = 0.
-2, -1, 0, 2
Determine s so that 7*s**4 - 9*s**3 - 7*s**2 + 9*s = 0.
-1, 0, 1, 9/7
Determine p, given that -2*p**4 - 6*p**3 - 6*p**2 - 2*p = 0.
-1, 0
Solve -3*h**2 + 24*h + 252 = 0 for h.
-6, 14
Suppose 5*u**2 + 1690*u + 8325 = 0. Calculate u.
-333, -5
Factor s**2 - 84*s + 1188.
(s - 66)*(s - 18)
Find b, given that 2*b**5/5 + 36*b**4/5 - 164*b**3/5 + 256*b**2/5 - 174*b/5 + 44/5 = 0.
-22, 1
Let -4*r**4 - 44*r**3 - 112*r**2 = 0. Calculate r.
-7, -4, 0
Factor 2*p**4 + 5052*p**3 + 4253784*p**2 + 1193895376*p.
2*p*(p + 842)**3
Solve -p**5 - 130*p**4 + 533*p**3 - 406*p**2 - 532*p + 536 = 0.
-134, -1, 1, 2
Determine y, given that 4*y**2 - 840*y + 44100 = 0.
105
Find r such that 25*r**3 - 390*r**2 + 540*r + 280 = 0.
-2/5, 2, 14
Factor -2*i**5/17 + 526*i**4/17.
-2*i**4*(i - 263)/17
Let -n**4/6 + n**3/2 + 4*n**2 - 14*n/3 - 8 = 0. Calculate n.
-4, -1, 2, 6
Factor i**2 + 86*i - 87.
(i - 1)*(i + 87)
Factor -2*q**4 - 14*q**3 + 18*q**2 + 14*q - 16.
-2*(q - 1)**2*(q + 1)*(q + 8)
Factor 3*l**3 + 50*l**2 + 77*l + 30.
(l + 1)*(l + 15)*(3*l + 2)
Let 2*i**4/3 - 8*i**3 + 34*i**2/3 + 92*i - 96 = 0. Calculate i.
-3, 1, 6, 8
Factor -86*h**2 - 426*h + 20.
-2*(h + 5)*(43*h - 2)
Suppose 5*t**2 - 105*t - 110 = 0. What is t?
-1, 22
Factor -u**2/4 - 116*u - 13456.
-(u + 232)**2/4
Find n such that -4*n**5 + 96*n**4 - 632*n**3 + 368*n**2 + 3036*n + 1936 = 0.
-1, 4, 11
Let q**5/2 + 37*q**4 + 720*q**3 + 1296*q**2 = 0. What is q?
-36, -2, 0
Factor -2*n**3/5 - 13134*n**2/5 - 28750326*n/5 - 20978154538/5.
-2*(n + 2189)**3/5
Solve -3*l**3/5 - 378*l**2/5 - 15876*l/5 - 222264/5 = 0 for l.
-42
Suppose -2*u**2/11 + 34*u/11 - 12 = 0. Calculate u.
6, 11
Find u such that -2*u**3/9 - 52*u**2/9 - 166*u/9 + 220/9 = 0.
-22, -5, 1
Let 3*q**2 - 36*q - 255 = 0. Calculate q.
-5, 17
Determine z, given that -2*z**2 + 38*z = 0.
0, 19
Find w, given that -w**2 - 41*w/2 - 10 = 0.
-20, -1/2
Let -k**2/5 + 34*k/5 + 1007/5 = 0. What is k?
-19, 53
Find m, given that 568*m**4/9 + 3970*m**3/9 + 5638*m**2/9 - 20*m/3 = 0.
-5, -2, 0, 3/284
Suppose -28*n**4 - 664*n**3 - 4848*n**2 - 10656*n + 3456 = 0. What is n?
-12, -6, 2/7
Determine o, given that -3*o**2 - 2226*o - 412923 = 0.
-371
Find y such that -12*y**5/7 + 346*y**4/7 - 1864*y**3/7 - 9432*y**2/7 - 3328*y/7 + 10240/7 = 0.
-2, 5/6, 16
Factor -h**2 - 12*h - 11.
-(h + 1)*(h + 11)
Factor -3*q**3 + 36*q**2 + 39*q.
-3*q*(q - 13)*(q + 1)
Factor -3*n**2/5 + 60*n.
-3*n*(n - 100)/5
Solve 2*t**2/9 - 26*t/9 - 28/9 = 0.
-1