e a.
-1, 5
Find z such that -4*z**5/5 + 228*z**4/5 - 2132*z**3/5 + 5068*z**2/5 - 4632*z/5 + 1472/5 = 0.
1, 8, 46
Suppose -2*u**2/11 - 62*u/11 - 60/11 = 0. Calculate u.
-30, -1
Factor -3*i**5/8 - 3*i**4/8 + 15*i**3/8 - 9*i**2/8.
-3*i**2*(i - 1)**2*(i + 3)/8
Factor 2*k**4 + 38*k**3 + 194*k**2 + 90*k - 324.
2*(k - 1)*(k + 2)*(k + 9)**2
Factor -u**3/2 + 5*u**2/4 + u - 3/4.
-(u - 3)*(u + 1)*(2*u - 1)/4
Find a such that -a**3 + 750*a**2 - 187500*a + 15625000 = 0.
250
Factor -3*f**2/7 + 21*f - 414/7.
-3*(f - 46)*(f - 3)/7
Find c such that c**2/10 - 267*c/5 + 71289/10 = 0.
267
Factor a**3/2 - 6*a**2 + 10*a.
a*(a - 10)*(a - 2)/2
Factor 3*j**3 - 33*j**2 + 96*j - 84.
3*(j - 7)*(j - 2)**2
Determine g so that 3*g**4/4 - 47*g**3/4 - 9*g**2/2 + 8*g = 0.
-1, 0, 2/3, 16
Factor -t**3/5 - 13*t**2/5 - 23*t/5 - 11/5.
-(t + 1)**2*(t + 11)/5
Determine f, given that -3*f**3 - 117*f**2 + 243*f - 123 = 0.
-41, 1
Factor f**3/4 - 3*f**2 + 11*f/4.
f*(f - 11)*(f - 1)/4
What is a in 3*a**4/8 - 42*a**3 + 5535*a**2/4 - 5043*a - 2274393/8 = 0?
-11, 41
Factor h**3/5 + 31*h**2/5 - 13*h + 33/5.
(h - 1)**2*(h + 33)/5
Solve -350*p**4/19 + 2270*p**3/19 - 2846*p**2/19 + 1266*p/19 - 180/19 = 0 for p.
2/7, 3/5, 5
Factor j**3 + 21*j**2 + 99*j - 121.
(j - 1)*(j + 11)**2
Let 32*f**3 - 500*f**2 - 736*f - 204 = 0. Calculate f.
-1, -3/8, 17
Factor -2*g**3 - 780*g**2.
-2*g**2*(g + 390)
Determine i, given that -27*i**4 - 681*i**3 + 2064*i**2 - 1020*i - 336 = 0.
-28, -2/9, 1, 2
Factor -2*b**2 - 20*b - 42.
-2*(b + 3)*(b + 7)
Factor -2*v**3 + 304*v**2 - 9130*v - 192892.
-2*(v - 83)**2*(v + 14)
Factor -2*y**3 + 40*y**2.
-2*y**2*(y - 20)
Let 2*w**2/15 - 8228*w/15 + 8462498/15 = 0. What is w?
2057
Suppose -35*s**5 - 590*s**4 + 1415*s**3 - 190*s**2 = 0. What is s?
-19, 0, 1/7, 2
Factor 5*h**2 - 115*h - 390.
5*(h - 26)*(h + 3)
Determine x, given that 4*x**4/3 + 48860*x**3/3 + 49743551*x**2 + 149194010*x/3 + 37295449/3 = 0.
-6107, -1/2
Find y such that -64*y**4/3 - 352*y**3/3 - 484*y**2/3 + 84*y + 216 = 0.
-9/4, -2, 1
Solve d**4 - 8*d**3 + 5*d**2 + 14*d = 0.
-1, 0, 2, 7
Find t, given that t**3/3 - 455*t**2/3 + 752*t - 900 = 0.
2, 3, 450
Factor -2*s**5/3 + 4*s**4/3 + 2*s**3 - 8*s**2/3 - 8*s/3.
-2*s*(s - 2)**2*(s + 1)**2/3
Factor 5*m**2 + 10100*m + 5100500.
5*(m + 1010)**2
Solve 3*h**3 + 60*h**2 + 276*h + 336 = 0.
-14, -4, -2
Let -w**2/6 + 23*w/3 - 260/3 = 0. Calculate w.
20, 26
Find x, given that x**2/4 + 447*x/4 + 223/2 = 0.
-446, -1
Factor -4*r**4/9 + 16*r**3/9 - 20*r**2/9 + 8*r/9.
-4*r*(r - 2)*(r - 1)**2/9
Suppose -4*p**3 + 136*p**2 - 604*p + 696 = 0. Calculate p.
2, 3, 29
Let 5*k**2 + 185*k = 0. What is k?
-37, 0
Solve 2*g**3/7 - 1998*g**2/7 + 498000*g/7 + 500000/7 = 0 for g.
-1, 500
Let -115*c**2 + 250*c - 40 = 0. Calculate c.
4/23, 2
What is b in 4*b**2 + 20*b + 16 = 0?
-4, -1
Find l such that -l**4/2 - 13*l**3/4 - 15*l**2/4 + l/4 + 5/4 = 0.
-5, -1, 1/2
Let 2*v**2/5 - 4*v + 42/5 = 0. What is v?
3, 7
Factor 2*j**3/5 + 414*j**2 + 534576*j/5 - 536648/5.
2*(j - 1)*(j + 518)**2/5
Factor 2*x**2 + 248*x.
2*x*(x + 124)
Factor 4*o**4 - 396*o**3 + 392*o**2.
4*o**2*(o - 98)*(o - 1)
Suppose x**2/6 + 8*x/3 - 182 = 0. Calculate x.
-42, 26
Find p, given that -5*p**4 - 840*p**3 - 26910*p**2 + 703080*p - 3502845 = 0.
-93, 9
Let -2*i**5 + 20*i**4 - 68*i**3 + 104*i**2 - 74*i + 20 = 0. What is i?
1, 2, 5
Factor 2*k**2/3 - 220*k/3 + 6050/3.
2*(k - 55)**2/3
Factor -4*o**4 + 116*o**3 + 372*o**2 + 380*o + 128.
-4*(o - 32)*(o + 1)**3
Factor 3*o**4 + 24*o**3 + 6*o**2 - 96*o + 63.
3*(o - 1)**2*(o + 3)*(o + 7)
Factor n**5/4 + n**4 - 3*n**3 - 8*n**2 + 16*n.
n*(n - 2)**2*(n + 4)**2/4
Factor -t**3 - 48*t**2 - 261*t - 378.
-(t + 3)**2*(t + 42)
What is q in -q**5/5 + 2*q**4/5 - q**3/5 = 0?
0, 1
Determine b, given that -4*b**5 - 572*b**4 + 8*b**3 + 1144*b**2 - 4*b - 572 = 0.
-143, -1, 1
Determine p so that -p**4/6 + 37*p**3/3 - 431*p**2/2 - 1406*p/3 - 722/3 = 0.
-1, 38
Factor -j**3 - 22*j**2 - 117*j - 180.
-(j + 3)*(j + 4)*(j + 15)
Factor 27*l**3 - 252*l**2 + 768*l - 768.
3*(l - 4)*(3*l - 8)**2
Factor o**4/3 + 11*o**3/3 + 14*o**2 + 68*o/3 + 40/3.
(o + 2)**3*(o + 5)/3
Factor 2*x**4 - 2*x**3 - 4*x**2.
2*x**2*(x - 2)*(x + 1)
Factor -35*w**2 + 30*w.
-5*w*(7*w - 6)
Find m such that -2*m**4/3 + 10*m**2/3 - 8/3 = 0.
-2, -1, 1, 2
Factor 16*g**4 - 1574*g**3/7 + 796*g**2 - 42*g.
2*g*(g - 7)**2*(56*g - 3)/7
Let -n**2/2 - 201*n + 1224 = 0. Calculate n.
-408, 6
Suppose -2*a**5/9 - 22*a**4/9 - 6*a**3 + 134*a**2/9 + 640*a/9 + 200/3 = 0. Calculate a.
-5, -2, 3
Factor -25*y**3 - 30*y**2 - 5*y.
-5*y*(y + 1)*(5*y + 1)
Determine o so that 12*o**4 + 44*o**3/3 + 8*o**2/3 = 0.
-1, -2/9, 0
Factor -4*x**2 + 48*x - 128.
-4*(x - 8)*(x - 4)
Factor i**2/6 - 7*i/6 - 5.
(i - 10)*(i + 3)/6
Determine n, given that -2*n**3/3 - 40*n**2/3 + 854*n/3 - 3332/3 = 0.
-34, 7
Determine x, given that -2*x**3 + 498*x**2 - 492*x - 992 = 0.
-1, 2, 248
What is y in -9*y**3 + 42*y**2 + 231*y + 72 = 0?
-3, -1/3, 8
Suppose 20*b**5 - 688*b**4 + 2052*b**3 + 1768*b**2 - 992*b = 0. Calculate b.
-1, 0, 2/5, 4, 31
Find u, given that -u**4 + 7*u**3 + 39*u**2 + 53*u + 22 = 0.
-2, -1, 11
Find l, given that -25*l**2 - 1060*l - 420 = 0.
-42, -2/5
Find f, given that 2*f**4/7 + 336*f**3 + 693836*f**2/7 + 197232*f + 689138/7 = 0.
-587, -1
Factor -3*k**5 - 30*k**4 + 648*k**3 + 10206*k**2 + 37179*k.
-3*k*(k - 17)*(k + 9)**3
Factor -3*u**2/7 - 9*u - 162/7.
-3*(u + 3)*(u + 18)/7
Suppose y**5/3 + 5*y**4/3 - 2*y**3/3 - 28*y**2/3 - 8*y/3 + 32/3 = 0. What is y?
-4, -2, 1, 2
Factor 2*k**3 - 1104*k**2 - 4440*k - 4448.
2*(k - 556)*(k + 2)**2
Solve 3*f**3/5 - 54*f**2/5 - 624*f/5 = 0 for f.
-8, 0, 26
What is p in 7*p**3/2 - 48*p**2 + 287*p/2 + 45 = 0?
-2/7, 5, 9
Factor 3*l**3 + 72*l**2 - 243*l.
3*l*(l - 3)*(l + 27)
Find c, given that 5*c**3 + 25*c**2 + 20*c = 0.
-4, -1, 0
Factor -2*q**3/3 + 14*q**2 - 112*q/3 - 136.
-2*(q - 17)*(q - 6)*(q + 2)/3
Find k, given that 5*k**3 + 20*k**2 + 25*k + 10 = 0.
-2, -1
Let -x**2/5 + 56*x/5 + 57/5 = 0. What is x?
-1, 57
Factor g**4 - 35*g**3 - 37*g**2 + 35*g + 36.
(g - 36)*(g - 1)*(g + 1)**2
Suppose -3*w**2/2 + 51*w/2 + 27 = 0. Calculate w.
-1, 18
Suppose 2*g**5/9 + 34*g**4/9 + 20*g**3 + 32*g**2 = 0. What is g?
-8, -6, -3, 0
Determine t so that t**4/4 - 7*t**3/4 + 2*t**2 + 4*t = 0.
-1, 0, 4
Factor 4*m**2 - 1180*m - 2376.
4*(m - 297)*(m + 2)
Determine c so that -4*c**3/5 + 3168*c**2/5 - 627264*c/5 = 0.
0, 396
Solve -5*w**4 + 65*w**3 - 300*w**2 + 560*w - 320 = 0 for w.
1, 4
Solve -b**5/5 + 87*b**4/5 - 1758*b**3/5 - 5806*b**2/5 - 1197*b - 405 = 0.
-1, 45
Solve 2*h**2 - 2328*h + 677448 = 0.
582
Factor -12*n**3 - 4*n**2 + 72*n + 64.
-4*(n + 1)*(n + 2)*(3*n - 8)
Solve -5*l**3 + 1485*l**2 - 4420*l + 2940 = 0.
1, 2, 294
Factor 35*u**3 + 640*u**2 - 485*u - 190.
5*(u - 1)*(u + 19)*(7*u + 2)
Let x**5/2 + x**4/2 - 4*x**3 - 6*x**2 = 0. What is x?
-2, 0, 3
Find a such that a**5/3 + a**4 - 46*a**3/3 + 24*a**2 = 0.
-9, 0, 2, 4
Determine y, given that -2*y**3/13 - 132*y**2/13 - 730*y/13 - 600/13 = 0.
-60, -5, -1
Factor -2*a**5/3 + 22*a**4/3 - 92*a**3/3 + 60*a**2 - 54*a + 18.
-2*(a - 3)**3*(a - 1)**2/3
Find c, given that 4*c**5 + 44*c**4 - 8*c**3 - 88*c**2 + 4*c + 44 = 0.
-11, -1, 1
Determine h, given that -h**4 + 4*h**2 = 0.
-2, 0, 2
Factor -2*v**3/5 - 76*v**2 + 3136*v/5 - 6336/5.
-2*(v - 4)**2*(v + 198)/5
Factor 2*w**2/5 + 350*w + 1748/5.
2*(w + 1)*(w + 874)/5
What is m in 4624*m**2 - 136*m + 1 = 0?
1/68
Determine n so that -n**5/4 - 279*n**4/2 - 77841*n**3/4 = 0.
-279, 0
Determine t, given that 8*t**2/7 + 3420*t + 11968/7 = 0.
-2992, -1/2
What is o in 3*o**4/5 + 33*o**3/5 - 33*o**2 - 501*o/5 + 126 = 0?
-14, -3, 1, 5
Suppose 16*d**5 + 124*d**4 + 198*d**3 - 142*d**2 - 166*d - 30 = 0. Calculate d.
-5, -3, -1/2, -1/4, 1
Let 6*y**2/5 - 102*y/5 - 108/5 = 0. What is y?
-1, 18
Find t, given that 4*t**4 + 4*t**3 - 4*t**2 - 4*t = 0.
-1, 0, 1
Factor 2*t**5/7 - 58*t**4/7 - 60*t**3/7.
2*t**3*(t - 30)*(t + 1)/7
Suppose 4*c**3/7 - 32*c**2/7 - 176*c/7 - 192/7 = 0. What is c?
-2, 12
Factor -4*g**4/7 - 104*g**3 - 32388*g**2/7 + 9568*g - 33856/7.
-4*(g - 1)**2*(g + 92)**2/7
Factor 2*r**3/5 + 22*r**2/5 - 112*r/5 + 24.
2*(r - 2)**2*(r + 15)/5
Factor -3*v**4/5 + 132*v**3/5 - 378*v**2 + 1620*v + 2025.
-3*(v - 15)**3*(v + 1)/5
Factor -8*l**4 - 118*l**3/5 - 114*l**2/5 - 34*l/5 + 2/5.
-2*(l + 1)**3*(20*l - 1)