936 = 0. Calculate a.
-992, 2
Factor i**5/3 - 32*i**4/3 + 130*i**3 - 2300*i**2/3 + 6625*i/3 - 2500.
(i - 12)*(i - 5)**4/3
Suppose 3*x**4 + 21*x**3 - 198*x**2 + 444*x - 312 = 0. Calculate x.
-13, 2
Factor -3*b**2 + 789*b - 786.
-3*(b - 262)*(b - 1)
Find k such that -4*k**2/5 + 12*k/5 + 72/5 = 0.
-3, 6
Factor -5*c**3 + 40*c**2 - 65*c + 30.
-5*(c - 6)*(c - 1)**2
Factor -c**3 - 6*c**2 + 37*c - 30.
-(c - 3)*(c - 1)*(c + 10)
Solve 4*x**5 - 32*x**4 + 84*x**3 - 56*x**2 - 80*x + 96 = 0 for x.
-1, 2, 3
Determine s, given that -4*s**5/3 - 28*s**4 - 224*s**3/3 - 48*s**2 = 0.
-18, -2, -1, 0
Let 7*z**5 - 55*z**4 + 161*z**3 - 221*z**2 + 144*z - 36 = 0. What is z?
6/7, 1, 2, 3
Determine p so that -4*p**3 - 6252*p**2 - 3257292*p - 565683044 = 0.
-521
Let 24*h**5 - 68*h**4 - 236*h**3 - 132*h**2 + 52*h + 40 = 0. Calculate h.
-1, -2/3, 1/2, 5
Factor -u**2 + 18*u - 56.
-(u - 14)*(u - 4)
Factor -2*s**2 + 904*s/5 - 72.
-2*(s - 90)*(5*s - 2)/5
Factor -2*p**2/3 + 368*p/3 - 16928/3.
-2*(p - 92)**2/3
Factor w**4/4 - w**3/2 - 39*w**2/4 - 18*w.
w*(w - 8)*(w + 3)**2/4
Determine d so that 5*d**3 - 50*d**2 = 0.
0, 10
Factor 5*o**3/3 - 47*o**2/3 + 58*o/3 - 16/3.
(o - 8)*(o - 1)*(5*o - 2)/3
Find s such that -4*s**4 - 272*s**3 + 4*s**2 + 272*s = 0.
-68, -1, 0, 1
Factor -2*y**5/3 - 2*y**4/3 + 2*y**3/3 + 2*y**2/3.
-2*y**2*(y - 1)*(y + 1)**2/3
Suppose 4*h**3 - 1572*h**2 + 1560*h + 3136 = 0. What is h?
-1, 2, 392
What is v in -2*v**3/3 + 78*v**2 - 450*v + 666 = 0?
3, 111
Let -4*v**5 + 96*v**4 - 812*v**3 + 3088*v**2 - 5184*v + 2816 = 0. Calculate v.
1, 4, 11
Let -16*x**3/3 + 232*x**2/3 - 113*x/3 + 14/3 = 0. Calculate x.
1/4, 14
Factor -2*x**3 + 100*x**2 - 98*x.
-2*x*(x - 49)*(x - 1)
Factor -5*h**5 + 80*h**4 - 120*h**3 - 1600*h**2 - 2000*h.
-5*h*(h - 10)**2*(h + 2)**2
Determine t so that -3*t**4 + 204*t**3 - 5202*t**2 + 58956*t - 250563 = 0.
17
Factor -3*m**2 + 66*m - 120.
-3*(m - 20)*(m - 2)
Factor -3*u**5 + 72*u**4 - 351*u**3 - 1014*u**2.
-3*u**2*(u - 13)**2*(u + 2)
Determine p so that -2*p**2 + 930*p + 932 = 0.
-1, 466
Factor 1855*a**3 + 1020*a**2 + 140*a.
5*a*(7*a + 2)*(53*a + 14)
Factor i**2 + 24*i - 52.
(i - 2)*(i + 26)
Factor -q**4 + 12*q**3 - 17*q**2 - 30*q.
-q*(q - 10)*(q - 3)*(q + 1)
Solve n**5/2 + 103*n**4/6 + 395*n**3/3 - 282*n**2 - 108*n = 0.
-18, -1/3, 0, 2
Determine t so that 14*t**2 + 32*t + 8 = 0.
-2, -2/7
Determine g so that -g**2/2 + 11*g/2 - 9 = 0.
2, 9
Suppose 2*c**3 - 12*c**2 + 22*c - 12 = 0. Calculate c.
1, 2, 3
Factor 4*d**4 - 392*d**3 + 9988*d**2 - 18816*d + 9216.
4*(d - 48)**2*(d - 1)**2
Determine w so that -2*w**2/15 + 12*w/5 = 0.
0, 18
Let 3*k**3/2 - 18*k**2 + 51*k/2 + 135 = 0. What is k?
-2, 5, 9
Factor r**2/2 + 26*r - 54.
(r - 2)*(r + 54)/2
Solve -3*b**2/8 - 501*b/4 - 83667/8 = 0 for b.
-167
Factor -p**2/5 + 108*p/5 - 107/5.
-(p - 107)*(p - 1)/5
Solve 4*u**2 + 22060*u + 22056 = 0 for u.
-5514, -1
What is a in -2*a**2/7 + 2*a/7 = 0?
0, 1
Suppose 4*m**4 - 80*m**3 + 452*m**2 - 856*m + 480 = 0. What is m?
1, 2, 5, 12
What is j in -9*j**5 + 582*j**4 - 12280*j**3 + 78672*j**2 + 121968*j + 42592 = 0?
-2/3, 22
Factor 3*k**4 + 12*k**3 + 18*k**2 + 12*k + 3.
3*(k + 1)**4
Factor -5*h**4/6 - 41*h**3/6 - 44*h**2/3 - 8*h/3.
-h*(h + 4)**2*(5*h + 1)/6
Factor d**2/2 - 49*d + 2401/2.
(d - 49)**2/2
Determine b so that -2*b**4/7 - 8*b**3/7 - 12*b**2/7 - 8*b/7 - 2/7 = 0.
-1
Determine i, given that -7*i**5/2 - 83*i**4/4 - 117*i**3/4 - 9*i**2 = 0.
-4, -3/2, -3/7, 0
Suppose 25*n**5 + 255*n**4 + 484*n**3 - 516*n**2 + 112*n = 0. What is n?
-7, -4, 0, 2/5
Factor -5*s**2 - 230*s.
-5*s*(s + 46)
Find k such that 3*k**4/4 + 6*k**3 + 69*k**2/4 + 21*k + 9 = 0.
-3, -2, -1
Factor 7*c**4/3 - 40*c**3/3 + 23*c**2/3 + 10*c/3.
c*(c - 5)*(c - 1)*(7*c + 2)/3
Find p such that -85*p**4/6 + 257*p**3/6 + 79*p**2/6 - 257*p/6 + 1 = 0.
-1, 2/85, 1, 3
Solve 5*c**4 + 15*c**3 - 120*c**2 - 400*c = 0 for c.
-4, 0, 5
Factor l**3/9 + 157*l**2/9 + 330*l.
l*(l + 22)*(l + 135)/9
Determine f so that 36*f**4 - 2832*f**3 + 19180*f**2 + 29392*f + 10224 = 0.
-2/3, 9, 71
Factor -5*l**3/2 + 420*l**2 - 835*l/2.
-5*l*(l - 167)*(l - 1)/2
Factor -5*g**3 + 140*g**2 + 620*g + 640.
-5*(g - 32)*(g + 2)**2
What is h in 5*h**4 - 730*h**3 + 35280*h**2 - 552230*h - 588245 = 0?
-1, 49
Factor -3*j**4/5 - 24*j**3/5 - 3*j**2 + 42*j/5.
-3*j*(j - 1)*(j + 2)*(j + 7)/5
Determine i so that -3*i**5/2 + 12*i**4 - 21*i**3 - 12*i**2 + 45*i/2 = 0.
-1, 0, 1, 3, 5
What is h in 15*h**5 + 24*h**4 - 72*h**3 - 96*h**2 + 48*h = 0?
-2, 0, 2/5, 2
What is o in -2*o**3/7 + 1900*o**2/7 - 451250*o/7 = 0?
0, 475
Find q, given that -3*q**3/8 - 309*q**2/8 + 39*q = 0.
-104, 0, 1
Factor -4*l**4 + 536*l**3 - 17412*l**2 - 36448*l - 18496.
-4*(l - 68)**2*(l + 1)**2
Factor -2*y**4/7 + 3288*y**3/7 - 2027052*y**2/7 + 555412248*y/7 - 57068608482/7.
-2*(y - 411)**4/7
Let -3663*p**2 - 3657*p + 6 = 0. Calculate p.
-1, 2/1221
Let r**2 + 67*r - 68 = 0. Calculate r.
-68, 1
Factor -10*o**3/7 - 8584*o**2/7 - 263406*o - 736164/7.
-2*(o + 429)**2*(5*o + 2)/7
Suppose 3*u**4/7 + 216*u**3/7 - 897*u**2/7 + 162*u - 456/7 = 0. Calculate u.
-76, 1, 2
Find d, given that 3*d**5 - 65*d**4 - 99*d**3 + 157*d**2 + 96*d - 92 = 0.
-2, -1, 2/3, 1, 23
Suppose -c**5 - 2*c**4 - c**3 = 0. Calculate c.
-1, 0
Suppose 4*s**2 - 36*s - 144 = 0. Calculate s.
-3, 12
Factor 2*v**2/5 - 412*v/5 - 1254/5.
2*(v - 209)*(v + 3)/5
Factor 2*j**4 - 16*j**3 + 4*j**2 + 160*j - 150.
2*(j - 5)**2*(j - 1)*(j + 3)
Let 468*x**5 + 694*x**4 - 12*x**3 - 234*x**2 + 4*x = 0. What is x?
-1, 0, 2/117, 1/2
Find g such that -2*g**3 + 14*g**2 - 12*g = 0.
0, 1, 6
Factor -3*x**2/5 - 4056*x/5 - 1370928/5.
-3*(x + 676)**2/5
Factor 4*m**5 + 32*m**4 + 60*m**3.
4*m**3*(m + 3)*(m + 5)
Factor 4*m**5 - 8*m**4 - 76*m**3 + 80*m**2.
4*m**2*(m - 5)*(m - 1)*(m + 4)
Solve m**2 + 5*m - 6 = 0.
-6, 1
Factor -14*x**2 + 88*x.
-2*x*(7*x - 44)
Factor 4*b**4 + 104*b**3 + 672*b**2 - 104*b - 676.
4*(b - 1)*(b + 1)*(b + 13)**2
Determine g, given that 4*g**4/9 + 14*g**3/3 + 122*g**2/9 + 8*g - 8 = 0.
-6, -3, -2, 1/2
Factor -4*g**5 - 4212*g**4 + 8436*g**3 - 4220*g**2.
-4*g**2*(g - 1)**2*(g + 1055)
Factor -o**5/2 + 5*o**4/2 - 4*o**3 + 2*o**2.
-o**2*(o - 2)**2*(o - 1)/2
Find y, given that 4*y**4 - 16*y**3 + 20*y**2 - 8*y = 0.
0, 1, 2
Factor -35*d**2 - 95*d + 330.
-5*(d - 2)*(7*d + 33)
Factor 3*i**2 + 216*i + 3888.
3*(i + 36)**2
Suppose 3*y**4 - 3348*y**3 + 1401138*y**2 - 260611668*y + 18177663843 = 0. What is y?
279
Factor -i**2/5 + 68*i/5 - 427/5.
-(i - 61)*(i - 7)/5
Let -4*j**5/3 + 860*j**4/3 - 564*j**3 - 852*j**2 = 0. Calculate j.
-1, 0, 3, 213
What is s in -2*s**5/3 + 2*s**4 + 54*s**3 + 154*s**2/3 = 0?
-7, -1, 0, 11
Factor -2*x**2/9 + 1156*x/3 - 167042.
-2*(x - 867)**2/9
Factor -195*z**3 - 127*z**2 - 6*z.
-z*(5*z + 3)*(39*z + 2)
Factor 5*y**2/3 + 1400*y + 294000.
5*(y + 420)**2/3
Factor -4*w**5 + 12*w**4 + 24*w**3 - 112*w**2 + 96*w.
-4*w*(w - 2)**3*(w + 3)
Let -4*v**4 - 36*v**3 + 40*v**2 = 0. Calculate v.
-10, 0, 1
Factor 2*k**2 + 164*k + 3362.
2*(k + 41)**2
Suppose i**5 - 9*i**4 + 27*i**3 - 31*i**2 + 12*i = 0. Calculate i.
0, 1, 3, 4
Let -14*c**5/3 + 34*c**4 + 14*c**3/3 - 278*c**2/3 - 40*c + 56/3 = 0. Calculate c.
-1, 2/7, 2, 7
Factor 4*u**4 - 536*u**3 - 2220*u**2 + 1584*u + 9936.
4*(u - 138)*(u - 2)*(u + 3)**2
Determine k so that 2*k**3 + 174*k**2 + 672*k + 664 = 0.
-83, -2
Factor -4*v**3/5 - 18*v**2/5 - 14*v/5 + 12/5.
-2*(v + 2)*(v + 3)*(2*v - 1)/5
Factor -3*b**3 - 2040*b**2 - 8124*b - 8112.
-3*(b + 2)**2*(b + 676)
Factor -r**3/4 - 4*r**2 + 61*r/4 + 19.
-(r - 4)*(r + 1)*(r + 19)/4
Suppose -4*h**3 - 44*h**2 + 16*h + 176 = 0. Calculate h.
-11, -2, 2
Let 5*g**4 - 15*g**3 + 5*g**2 + 15*g - 10 = 0. What is g?
-1, 1, 2
Find h, given that -3*h**4 - 15*h**3 - 27*h**2 - 21*h - 6 = 0.
-2, -1
Factor h**2/2 - 135*h/2 + 67.
(h - 134)*(h - 1)/2
Factor 3*s**2/7 - 12*s/7 + 9/7.
3*(s - 3)*(s - 1)/7
Factor 2*i**3 + 8*i**2.
2*i**2*(i + 4)
Find l, given that l**3/6 + 37*l**2/6 + 68*l/3 + 22 = 0.
-33, -2
Factor -28*y**4 - 160*y**3 + 496*y**2 - 128*y.
-4*y*(y - 2)*(y + 8)*(7*y - 2)
Factor k**2 + 16822*k + 70744921.
(k + 8411)**2
Let -4*i**3/7 + 688*i**2/7 - 676*i/7 - 1368/7 = 0. Calculate i.
-1, 2, 171
Let -4*c**5/7 + 12*c**4/7 + 20*c**3/7 - 12*c**2/7 - 16*c/7 = 0. Calculate c.
-1, 0, 1, 4
Determine g so that -5*g**5 - 785*g**4 + 2385*g**3 - 2395*g**2 + 800*g = 0.
-160, 0, 