2, 11
Suppose -i**2/10 + 57*i/5 - 3249/10 = 0. What is i?
57
Factor -4*o**4 + 4*o**3 + 4*o**2 - 4*o.
-4*o*(o - 1)**2*(o + 1)
Determine u so that -25*u**5 - 85*u**4 + 95*u**3 + 125*u**2 - 70*u - 40 = 0.
-4, -1, -2/5, 1
Let -r**5/4 + 213*r**4/4 - 11657*r**3/4 + 33495*r**2/4 - 11025*r/2 = 0. Calculate r.
0, 1, 2, 105
Find t such that t**5/10 + t**4/5 - 6*t**3/5 + 7*t**2/5 - t/2 = 0.
-5, 0, 1
Factor 5*s**4 - 35*s**3 + 20*s**2 + 60*s.
5*s*(s - 6)*(s - 2)*(s + 1)
Factor 24*y**4/7 + 212*y**3/7 - 36*y**2/7.
4*y**2*(y + 9)*(6*y - 1)/7
Factor 12*k**5 + 921*k**4 - 231*k**3.
3*k**3*(k + 77)*(4*k - 1)
Factor -3*o**3/2 - 261*o**2 - 516*o.
-3*o*(o + 2)*(o + 172)/2
Factor -15*a**3 - 335*a**2 - 1550*a - 480.
-5*(a + 6)*(a + 16)*(3*a + 1)
Determine i so that 4*i**2 + 72*i - 252 = 0.
-21, 3
Determine g so that 5*g**5 + 10*g**4 - 45*g**3 - 10*g**2 + 40*g = 0.
-4, -1, 0, 1, 2
Factor 2*l**2/19 - 12*l/19 - 32/19.
2*(l - 8)*(l + 2)/19
Determine x so that 4*x**5 + 32*x**4 + 52*x**3 - 88*x**2 - 128*x + 128 = 0.
-4, -2, 1
Factor 25*b**2 + 295*b + 220.
5*(b + 11)*(5*b + 4)
What is f in 5*f**2 + 555*f + 1090 = 0?
-109, -2
Find u such that -2*u**5/15 - 118*u**4/15 = 0.
-59, 0
Factor 24*x**3 + 69*x**2 - 876*x + 864.
3*(x - 4)*(x + 8)*(8*x - 9)
Let 30*c**4/19 - 146*c**3/19 + 220*c**2/19 - 88*c/19 - 16/19 = 0. What is c?
-2/15, 1, 2
Factor -2*q**3/7 + 20*q**2/7.
-2*q**2*(q - 10)/7
Suppose 3*k**5 + 444*k**4 + 16854*k**3 + 30660*k**2 - 47961*k = 0. Calculate k.
-73, -3, 0, 1
Solve 2*b**4/15 - 2*b**3/3 - 86*b**2/15 + 346*b/15 + 28 = 0.
-6, -1, 5, 7
Factor -a**4/4 - 7*a**3/4 - 7*a**2/2 - 2*a.
-a*(a + 1)*(a + 2)*(a + 4)/4
Factor 2*k**3/5 - 114*k**2 + 40896*k/5 - 40328/5.
2*(k - 142)**2*(k - 1)/5
Determine o, given that o**2/2 + 63*o/2 - 99 = 0.
-66, 3
Find y, given that -2*y**4/11 + 694*y**3/11 - 558*y**2 + 18306*y/11 - 18252/11 = 0.
3, 338
Factor -2*i**4/3 - 8*i**3/3 + 12*i**2 + 72*i + 90.
-2*(i - 5)*(i + 3)**3/3
What is b in 3*b**2/2 + 27*b = 0?
-18, 0
Find q, given that 6*q**3/7 + 300*q**2/7 + 582*q/7 + 288/7 = 0.
-48, -1
Factor 5*r**3 - 135*r - 270.
5*(r - 6)*(r + 3)**2
Factor -49*u**2 - 1027*u + 42.
-(u + 21)*(49*u - 2)
Let -2*r**3/11 + 34*r**2 - 372*r/11 = 0. Calculate r.
0, 1, 186
Factor -2*o**3/3 + 206*o**2/3 + 848*o/3 + 856/3.
-2*(o - 107)*(o + 2)**2/3
Determine j so that -j**5/9 + 5*j**4/3 - 59*j**3/9 + 97*j**2/9 - 8*j + 20/9 = 0.
1, 2, 10
Factor 2*c**2/11 + 152*c/11 + 2888/11.
2*(c + 38)**2/11
Determine j, given that 5*j**4 - 60*j**3 - 135*j**2 - 70*j = 0.
-1, 0, 14
Find i, given that -i**3 - 281*i**2/8 - 307*i/8 - 17/4 = 0.
-34, -1, -1/8
Determine x so that -x**4 - 3*x**3 + x**2 + 3*x = 0.
-3, -1, 0, 1
Suppose 5*a**3 + 30*a**2 + 40*a = 0. Calculate a.
-4, -2, 0
Find q, given that -2*q**2 + 3480*q - 1513800 = 0.
870
Determine v, given that -5*v**5/2 + 5*v**4/2 + 115*v**3/2 + 195*v**2/2 + 45*v = 0.
-3, -1, 0, 6
Determine g so that -g**2/6 + 530*g/3 - 353/2 = 0.
1, 1059
Solve 3*p**4/4 + 693*p**3/2 + 158691*p**2/4 - 80388*p + 40368 = 0 for p.
-232, 1
Suppose -3*w**5/5 - 39*w**4/5 + 186*w**3/5 - 294*w**2/5 + 201*w/5 - 51/5 = 0. What is w?
-17, 1
Factor -3*z**4 + 18*z**3 - 15*z**2.
-3*z**2*(z - 5)*(z - 1)
Factor a**5 + 5*a**4 + 4*a**3.
a**3*(a + 1)*(a + 4)
Factor b**4/5 + 8*b**3/5 + 16*b**2/5.
b**2*(b + 4)**2/5
Factor 5*i**4 + 1640*i**3.
5*i**3*(i + 328)
Determine s so that 2*s**5/9 + 542*s**4/9 + 33040*s**3/9 - 497072*s**2/9 + 638432*s/3 - 161312 = 0.
-142, 1, 6
Suppose 4*r**2 - 520*r - 2700 = 0. What is r?
-5, 135
Determine m so that 5*m**2 + 3870*m + 748845 = 0.
-387
Factor -15*m**2/7 - 118*m/7.
-m*(15*m + 118)/7
Factor -4*a**3 - 16*a**2 - 20*a - 8.
-4*(a + 1)**2*(a + 2)
Suppose -w**3/6 + w**2/3 + 4*w = 0. Calculate w.
-4, 0, 6
Factor c**5/4 + 215*c**4/4 + 1059*c**3/4 + 1897*c**2/4 + 368*c + 105.
(c + 1)**3*(c + 2)*(c + 210)/4
Find c such that 5*c**5/3 - 1495*c**4/3 + 149990*c**3/3 - 1715670*c**2 + 3283335*c - 1617165 = 0.
1, 99
Suppose -3*g**4 + 702*g**3 - 41067*g**2 = 0. What is g?
0, 117
Factor 4*x**5 + 48*x**4 + 192*x**3 + 256*x**2.
4*x**2*(x + 4)**3
Solve 2*b**3 + 76*b**2 + 640*b - 1600 = 0 for b.
-20, 2
Suppose -175*d**5/3 - 3305*d**4/3 - 2750*d**3/3 + 740*d**2/3 + 120*d = 0. What is d?
-18, -1, -2/7, 0, 2/5
Let 2*b**2/7 - 20*b/7 + 18/7 = 0. What is b?
1, 9
Solve -f**5 + f**4 + 13*f**3 - f**2 - 12*f = 0.
-3, -1, 0, 1, 4
Factor o**5/2 + 111*o**4/2 - 56*o**3.
o**3*(o - 1)*(o + 112)/2
Factor -p**4/4 + 1807*p**3/4 - 203852*p**2 - 204304*p.
-p*(p - 904)**2*(p + 1)/4
Suppose -t**3/10 - 4*t**2/5 + 31*t/10 - 11/5 = 0. Calculate t.
-11, 1, 2
Factor -3*c**2 - 8370*c - 5838075.
-3*(c + 1395)**2
What is i in -6*i**5/5 - 172*i**4/5 + 2462*i**3/5 + 1716*i**2/5 = 0?
-39, -2/3, 0, 11
What is l in l**3/5 - 289*l**2/5 - l/5 + 289/5 = 0?
-1, 1, 289
Factor -5*f**2 - 120*f + 125.
-5*(f - 1)*(f + 25)
Find i such that -i**5/5 - 6*i**4/5 + 11*i**3/5 + 24*i**2/5 - 28*i/5 = 0.
-7, -2, 0, 1, 2
Factor 5*c**4/3 - 15*c**3 - 55*c**2 - 175*c/3 - 20.
5*(c - 12)*(c + 1)**3/3
Solve -q**5/2 - 6*q**4 - 43*q**3/2 - 30*q**2 - 14*q = 0.
-7, -2, -1, 0
Solve -2*o**4/15 + 8*o**3/15 - 2*o**2/5 = 0.
0, 1, 3
Factor p**2/5 + 51*p/5 - 52/5.
(p - 1)*(p + 52)/5
Factor b**3/5 - 2*b**2/5.
b**2*(b - 2)/5
Factor 5*q**2 + 850*q + 36125.
5*(q + 85)**2
Find d, given that 6*d**4 - 93*d**3 - 159*d**2 + 102*d = 0.
-2, 0, 1/2, 17
Solve -m**2/2 - 45*m - 425/2 = 0 for m.
-85, -5
Let -27*h**3/5 + 42*h**2 = 0. What is h?
0, 70/9
Suppose -5*z**3 - 645*z**2 - 630*z + 1280 = 0. What is z?
-128, -2, 1
Factor -2*o**3 - 1286*o**2 + 2*o + 1286.
-2*(o - 1)*(o + 1)*(o + 643)
Solve -16*a**3 - 12*a**2 = 0 for a.
-3/4, 0
Factor 2*b**4 - 14*b**3 + 34*b**2 - 34*b + 12.
2*(b - 3)*(b - 2)*(b - 1)**2
Solve -2*m**2/3 + 44*m/3 + 32 = 0.
-2, 24
Factor -2*k**4/9 - 4*k**3/9 + 2*k**2/9 + 4*k/9.
-2*k*(k - 1)*(k + 1)*(k + 2)/9
Determine o so that -5*o**5/3 - 5*o**4/3 + 70*o**3/3 - 130*o**2/3 + 95*o/3 - 25/3 = 0.
-5, 1
Suppose 6*v**3/5 + 26*v**2/5 + 16*v/5 - 24/5 = 0. Calculate v.
-3, -2, 2/3
Suppose 2*s**5/9 - 14*s**3/9 - 4*s**2/9 + 8*s/3 + 16/9 = 0. What is s?
-2, -1, 2
Factor -j**4/2 + 9*j**3 - 36*j**2 + 47*j - 39/2.
-(j - 13)*(j - 3)*(j - 1)**2/2
Let v**4/4 + 3*v**3/2 - 23*v**2/4 - 24*v + 28 = 0. Calculate v.
-7, -4, 1, 4
Factor -57*k**3 + 63*k**2 + 108*k - 12.
-3*(k - 2)*(k + 1)*(19*k - 2)
Determine b, given that -2*b**4 + 8*b**3 - 8*b**2 = 0.
0, 2
Let p**3/6 - 12*p**2 + 455*p/2 - 1225/3 = 0. What is p?
2, 35
Find w, given that -27*w**5 - 339*w**4 - 752*w**3 - 1928*w**2/3 - 688*w/3 - 80/3 = 0.
-10, -1, -2/3, -2/9
Suppose 8*k**5/11 - 34*k**4/11 - 8*k**3/11 + 100*k**2/11 + 48*k/11 - 18/11 = 0. What is k?
-1, 1/4, 3
Determine d so that 2*d**2 - 3858*d - 3860 = 0.
-1, 1930
Determine k, given that -20*k**5 - 248*k**4 - 816*k**3 - 288*k**2 = 0.
-6, -2/5, 0
What is j in -3*j**4/7 - 160*j**3/7 + 286*j**2/7 + 608*j/7 + 165/7 = 0?
-55, -1, -1/3, 3
Find a such that 2*a**4/5 + 62*a**3/5 + 8*a**2 - 584*a/5 + 96 = 0.
-30, -4, 1, 2
Determine y so that y**2 + 40*y + 400 = 0.
-20
Solve 5*c**2 + 7450*c + 2775125 = 0.
-745
Factor 81*p**3/2 - 819*p**2/2 - 388*p - 88.
(p - 11)*(9*p + 4)**2/2
What is h in 12*h**4/7 - 135*h**3/7 + 369*h**2/7 - 12*h = 0?
0, 1/4, 4, 7
Factor 2*b**2/3 + 1390*b/3 + 5528/3.
2*(b + 4)*(b + 691)/3
Factor q**2/6 - 535*q/3.
q*(q - 1070)/6
Suppose t**5 + 217*t**4 + 15549*t**3 + 357043*t**2 - 778034*t = 0. Calculate t.
-73, 0, 2
Suppose -5*p**2/3 + 5*p/3 = 0. What is p?
0, 1
Determine o so that -5*o**2 + 450*o + 1395 = 0.
-3, 93
What is z in -2*z**4/13 + 32*z**3/13 - 144*z**2/13 + 256*z/13 - 160/13 = 0?
2, 10
Factor 4*x**5 - 24*x**4 + 48*x**3 - 32*x**2.
4*x**2*(x - 2)**3
Suppose t**4 + 20*t**3 = 0. Calculate t.
-20, 0
Determine z, given that 2*z**5/3 - 8*z**4 + 8*z**3 + 160*z**2/3 = 0.
-2, 0, 4, 10
What is y in -2*y**2 + 852*y - 90738 = 0?
213
Solve 2*o**4/15 + 8*o**3/5 - 28*o**2/5 + 88*o/15 - 2 = 0.
-15, 1
Factor 27*d**3/7 - 6*d**2/7 - 27*d/7 + 6/7.
3*(d - 1)*(d + 1)*(9*d - 2)/7
Let 2*j**3/3 + 52*j**2/3 + 128*j + 192 = 0. Calculate j.
-12, -2
Factor -2*j**4 - 7*j**3/4 + 15*j**2/4.
-j**2*(j - 1)*(8*j + 15)/4
Factor 16*w**3 - 336*w**2 - 348*w - 88.
4*(w - 22)*(2*w + 1)**2
Find i, given that -2*i**3/3 - 808*i**2/3 + 270*i = 0.
-405, 0, 1
Factor 4*o**3 + 72*o**2 - 252*o.
4*o*(o - 3)*(o + 21)
Factor 3*q**3/7 - 33*q**2 - 69*q + 711/7.
3*(q - 79)*(q -