ch that p**2 - 4811*p + 4810 = 0.
1, 4810
Factor 3*h**2/4 - 261*h/4.
3*h*(h - 87)/4
Suppose -4*a**2 - 36*a + 88 = 0. What is a?
-11, 2
Factor 4*h**5 + 8*h**4 + 4*h**3.
4*h**3*(h + 1)**2
Solve 3*s**4 + 3*s**3 - 39*s**2 - 3*s + 36 = 0.
-4, -1, 1, 3
Suppose -2*j**3/21 + 20*j**2/7 - 8000/21 = 0. Calculate j.
-10, 20
Factor -2*u**2/7 + 68*u/7 - 450/7.
-2*(u - 25)*(u - 9)/7
Factor -o**4 + 34*o**3 - 285*o**2 - 136*o + 1156.
-(o - 17)**2*(o - 2)*(o + 2)
Factor 3*s**4 - 255*s**3 - 519*s**2 - 261*s.
3*s*(s - 87)*(s + 1)**2
Suppose 4*j**5 - 20*j**4 - 108*j**3 + 756*j**2 - 1080*j = 0. What is j?
-6, 0, 3, 5
Find b such that -52*b**5 + 112*b**4 + 140*b**3 - 232*b**2 - 176*b + 32 = 0.
-1, 2/13, 2
Factor -2*f**3 - 10*f**2 + 96*f + 504.
-2*(f - 7)*(f + 6)**2
Factor i**3/9 - i**2 - 22*i/9.
i*(i - 11)*(i + 2)/9
Factor -20*d**2 - 2164*d - 432.
-4*(d + 108)*(5*d + 1)
Factor -u**4/3 + 48*u**3 + 592*u**2/3.
-u**2*(u - 148)*(u + 4)/3
Solve 4*j**4 - 24*j**3 + 36*j**2 - 16*j = 0.
0, 1, 4
Suppose 4*d**2 - 7816*d + 3818116 = 0. Calculate d.
977
Solve 4*a**5/7 - 4*a**4/7 - 76*a**3/7 + 4*a**2/7 + 360*a/7 + 288/7 = 0.
-3, -2, -1, 3, 4
Factor 215*m**3/4 + 5*m**2/2 - 215*m/4 - 5/2.
5*(m - 1)*(m + 1)*(43*m + 2)/4
Factor 1024*r**4 + 1280*r**3 + 208*r**2 - 120*r + 9.
(4*r + 3)**2*(8*r - 1)**2
Let -w**3/4 - 15*w**2/4 - 9*w/2 + 26 = 0. What is w?
-13, -4, 2
What is s in -4*s**3 - 104*s**2 + 220*s - 112 = 0?
-28, 1
Factor -c**5 - 17*c**4 - 99*c**3 - 207*c**2 + 324.
-(c - 1)*(c + 3)**2*(c + 6)**2
Factor -3*o**4/10 - 26*o**3/5 - 17*o**2/10.
-o**2*(o + 17)*(3*o + 1)/10
Suppose -4*s**5 + 12*s**4 + 56*s**3 - 72*s**2 - 52*s + 60 = 0. Calculate s.
-3, -1, 1, 5
Factor -6*h**5/5 - 7*h**4/5 + 4*h**3/5 + h**2.
-h**2*(h + 1)**2*(6*h - 5)/5
Factor -4*v**4 - 320*v**3 - 316*v**2.
-4*v**2*(v + 1)*(v + 79)
Factor -2*y**3/3 + 20*y**2/3 + 2*y/3 - 20/3.
-2*(y - 10)*(y - 1)*(y + 1)/3
Find z, given that -8*z**2/7 + 698*z/7 - 174/7 = 0.
1/4, 87
What is v in -v**5 + 13*v**4 - 57*v**3 + 95*v**2 - 50*v = 0?
0, 1, 2, 5
Let 214*o**5/5 + 1288*o**4/5 - 1688*o**3/5 - 1316*o**2/5 + 1474*o/5 + 28/5 = 0. Calculate o.
-7, -1, -2/107, 1
Let 12*w**3 + 31244*w**2 - 10424*w - 20832 = 0. What is w?
-2604, -2/3, 1
Find n such that -3*n**4 - 36*n**3 - 99*n**2 - 6*n + 144 = 0.
-8, -3, -2, 1
Factor -r**5/2 - 7*r**4 - 12*r**3 + r**2 + 25*r/2 + 6.
-(r - 1)*(r + 1)**3*(r + 12)/2
Factor 5*t**2 - 95*t + 170.
5*(t - 17)*(t - 2)
Factor 2*h**5/7 - 386*h**4/7 + 2688*h**3 - 18432*h**2/7.
2*h**2*(h - 96)**2*(h - 1)/7
Factor -9*o**2/4 - 195*o/4 + 69.
-3*(o + 23)*(3*o - 4)/4
Let 2*c**4/3 - 4*c**2 + 16*c/3 - 2 = 0. What is c?
-3, 1
Factor -2*s**3/3 - 4*s**2 - 10*s/3.
-2*s*(s + 1)*(s + 5)/3
What is g in -3*g**5 - 2*g**4 + 31*g**3 - 34*g**2 + 8*g = 0?
-4, 0, 1/3, 1, 2
Factor 2*i**2/3 - 10*i - 152/3.
2*(i - 19)*(i + 4)/3
Let j**3 - 12*j**2 + 11*j = 0. What is j?
0, 1, 11
Factor -3*r**5/8 - 3*r**4/8 + 27*r**3/8 - 33*r**2/8 + 3*r/2.
-3*r*(r - 1)**3*(r + 4)/8
Let 7*r**4 + 432*r**3 + 7016*r**2 + 10560*r - 3600 = 0. What is r?
-30, -2, 2/7
Factor 2*g**2/11 - 90*g/11 + 468/11.
2*(g - 39)*(g - 6)/11
Suppose -14*r**4 + 10*r**3 + 18*r**2 - 10*r - 4 = 0. What is r?
-1, -2/7, 1
Factor -2*r**2/13 - 12*r/13 + 32/13.
-2*(r - 2)*(r + 8)/13
Factor n**4/3 + 26*n**3/3 + 169*n**2/3.
n**2*(n + 13)**2/3
Factor s**2 - 1952*s + 952576.
(s - 976)**2
Determine t, given that 4*t**2 - 344*t + 7396 = 0.
43
Factor 3*c**4 - 207*c**3 + 3861*c**2 - 9801*c.
3*c*(c - 33)**2*(c - 3)
Find q, given that -25*q**5/2 - 16915*q**4/2 - 5065*q**3 + 3380*q**2 = 0.
-676, -1, 0, 2/5
Suppose -3*g**5/7 - 15*g**4/7 - 18*g**3/7 + 6*g**2/7 + 3*g + 9/7 = 0. What is g?
-3, -1, 1
Determine w so that 2*w**3 - 102*w**2 + 720*w - 1376 = 0.
4, 43
Suppose 5*c**2 + 125*c + 420 = 0. What is c?
-21, -4
Factor 4*g**2 - 448*g - 452.
4*(g - 113)*(g + 1)
Suppose -x**5/8 + 3*x**4/8 + 3*x**3/8 - 11*x**2/8 + 3*x/4 = 0. What is x?
-2, 0, 1, 3
Factor -k**5/8 + 3*k**3/8 - k**2/4.
-k**2*(k - 1)**2*(k + 2)/8
Factor g**3 + 7*g**2 + 10*g.
g*(g + 2)*(g + 5)
Let -4*r**2 - 1072*r + 2160 = 0. Calculate r.
-270, 2
Find h, given that -4*h**2 + 64 = 0.
-4, 4
Determine o, given that -4*o**2 + 3376*o - 712336 = 0.
422
Determine u so that -3*u**4/2 + 15*u**3 - 12*u**2 - 15*u + 27/2 = 0.
-1, 1, 9
Factor x**2/7 - 2348*x/7 - 4700/7.
(x - 2350)*(x + 2)/7
Find v, given that 3*v**2 + 2595*v - 2598 = 0.
-866, 1
Factor 3*n**2 + 15*n - 72.
3*(n - 3)*(n + 8)
Suppose -q**4/11 - 38*q**3 - 2069*q**2/11 - 1652*q/11 = 0. What is q?
-413, -4, -1, 0
Determine n, given that 8405*n**2 + 36080*n + 38720 = 0.
-88/41
Factor 3*t**4/5 + 3*t**3 - 18*t**2/5 - 96*t/5 + 96/5.
3*(t - 2)*(t - 1)*(t + 4)**2/5
Solve 4*q**3 - 112*q**2 - 124*q + 232 = 0.
-2, 1, 29
Factor 2*h**4/7 - 64*h**3/7 + 624*h**2/7 - 256*h + 224.
2*(h - 14)**2*(h - 2)**2/7
Suppose -t**3/2 - 3*t**2/2 + 11*t + 12 = 0. Calculate t.
-6, -1, 4
Determine h, given that -3*h**4 - 18*h**3 + 21*h**2 = 0.
-7, 0, 1
Determine t so that -2*t**2/3 + 288*t - 31104 = 0.
216
Factor n**5 + 30*n**4 - 204*n**3 + 424*n**2 - 288*n.
n*(n - 2)**3*(n + 36)
Suppose 2*t**2/3 + 232*t/3 = 0. What is t?
-116, 0
Factor 5*o**3 + 70*o**2 + 55*o - 130.
5*(o - 1)*(o + 2)*(o + 13)
Factor -2*u**4/3 + 16*u**3/3 - 14*u**2 + 12*u.
-2*u*(u - 3)**2*(u - 2)/3
Determine a, given that 2*a**4 + 108*a**3/7 + 262*a**2/7 + 24*a - 72/7 = 0.
-3, -2, 2/7
Determine y so that -3*y**4/5 - 183*y**3/5 - 2571*y**2/5 - 921*y - 2214/5 = 0.
-41, -18, -1
Factor q**3/4 + 5*q**2 - q/4 - 5.
(q - 1)*(q + 1)*(q + 20)/4
Factor 4*n**3 - 16*n**2 - 116*n - 96.
4*(n - 8)*(n + 1)*(n + 3)
Suppose 3*p**2 - 6369*p + 6366 = 0. Calculate p.
1, 2122
Factor 5*g**3 - 25*g**2 - 65*g - 35.
5*(g - 7)*(g + 1)**2
Let 3*c**4 - 42*c**3 + 99*c**2 + 12*c - 132 = 0. What is c?
-1, 2, 11
Let 2*z**2/9 - 88*z/9 + 86/9 = 0. What is z?
1, 43
Factor p**4/3 + 5*p**3/3 - 4*p**2/3 - 20*p/3.
p*(p - 2)*(p + 2)*(p + 5)/3
Factor l**2 - 446*l + 49729.
(l - 223)**2
Determine h so that 2*h**5/7 - 2*h**4/7 - 2*h**3/7 + 2*h**2/7 = 0.
-1, 0, 1
Find c such that 7*c**5/10 + 43*c**4/5 + 173*c**3/5 + 256*c**2/5 + 59*c/2 + 5 = 0.
-5, -1, -2/7
Factor -5*z**3/6 + 1490*z**2/3.
-5*z**2*(z - 596)/6
Find h, given that 5*h**3 + 1630*h**2 - 5*h - 1630 = 0.
-326, -1, 1
Let 3*v**5 - 318*v**4 + 12303*v**3 - 205428*v**2 + 1251948*v = 0. Calculate v.
0, 19, 34
Factor 15*u**3 + 126*u**2 + 153*u + 42.
3*(u + 1)*(u + 7)*(5*u + 2)
Let 106*j**2/15 + 94*j/15 - 4/5 = 0. What is j?
-1, 6/53
Suppose -4*f**4/3 - 92*f**3/3 + 1072*f**2 + 72592*f/3 - 75712/3 = 0. Calculate f.
-26, 1, 28
Find c, given that -5*c**4 - 100*c**3 + 105*c**2 + 6860*c - 6860 = 0.
-14, 1, 7
Determine j so that -j**2 - 127*j - 126 = 0.
-126, -1
What is q in 3*q**3 + 219*q**2 + 3885*q - 4107 = 0?
-37, 1
Solve 5*z**5 - 5*z**4 - 5*z**3 + 5*z**2 = 0 for z.
-1, 0, 1
Determine v, given that 3*v**3/5 + 333*v**2/5 + 129*v - 981/5 = 0.
-109, -3, 1
Determine i so that 5*i**3 - 750*i**2 + 37500*i - 625000 = 0.
50
Factor 3*y**3 + 114*y**2 + 417*y + 306.
3*(y + 1)*(y + 3)*(y + 34)
What is d in -15*d**5 - 20*d**4 + 15*d**3 + 20*d**2 = 0?
-4/3, -1, 0, 1
Factor 2*j**4 - 870*j**3 + 2596*j**2 - 1728*j.
2*j*(j - 432)*(j - 2)*(j - 1)
Determine q, given that q**4 - 36*q**3 - 414*q**2 + 17284*q + 17661 = 0.
-21, -1, 29
Suppose b**4/5 + 4*b**3/5 + 4*b**2/5 = 0. Calculate b.
-2, 0
Determine x, given that -4*x**5/13 + 2*x**4/13 + 136*x**3/13 - 14*x**2 - 24*x + 360/13 = 0.
-6, -3/2, 1, 2, 5
Factor -u**3/5 - 6*u**2 - 57*u/5 - 28/5.
-(u + 1)**2*(u + 28)/5
Factor 2*y**3 - 14*y**2 + 16*y + 32.
2*(y - 4)**2*(y + 1)
Determine s, given that -2*s**2 - 14*s - 20 = 0.
-5, -2
Factor 3*s**4 + 30*s**3 - 21*s**2 - 372*s + 540.
3*(s - 2)**2*(s + 5)*(s + 9)
Solve m**3 - 13*m**2 + 47*m - 35 = 0.
1, 5, 7
Find m, given that 12*m**4 - 32*m**3 - 68*m**2 + 8*m + 32 = 0.
-1, 2/3, 4
Factor -4*r**5 + 36*r**4 - 80*r**3.
-4*r**3*(r - 5)*(r - 4)
Suppose -2*b**4/5 + 1624*b**3/5 - 494508*b**2/5 + 66923416*b/5 - 3396363362/5 = 0. Calculate b.
203
Find q such that 4*q**3 - 1708*q**2 - 4*q + 1708 = 0.
-1, 1, 427
Factor 4*y**4/7 + 748*y**3/7 - 3040*y**2/7 + 3056*y/7.
4*y*(y - 2)**2*(y + 191)/7
Factor d**2 - 178*d.
d*(d - 178)
Find w such that -3*w**4 - 51*w**3 = 0.
-17, 0
Determine g, given that -3*g**2 + 510*g - 21675 = 0.
85
Let -50*j**3 + 6*j**2 = 0. What is j?
0, 3/25
Factor 9*s**2/7 - 10749*s/7 + 358