
5*x**3*(x + 1)*(3*x - 2)
Solve -5*i**2/3 + 85*i/3 + 190/3 = 0 for i.
-2, 19
Determine z, given that -z**2/3 - 41*z/3 = 0.
-41, 0
Solve 5*i**5 + 445*i**4 + 14745*i**3 + 218375*i**2 + 1318750*i + 1875000 = 0.
-25, -12, -2
Factor 3*r**2 + 2418*r + 487227.
3*(r + 403)**2
Suppose -35*y**2/2 + 15*y/2 = 0. What is y?
0, 3/7
Let -4*b**4/7 - 216*b**3/7 - 416*b**2 + 216*b/7 + 2916/7 = 0. Calculate b.
-27, -1, 1
Factor 4*n**2 + 404*n - 824.
4*(n - 2)*(n + 103)
Factor -b**5/7 - 20*b**4/7 - 100*b**3/7.
-b**3*(b + 10)**2/7
Solve -120*r**4 + 836*r**3 - 1292*r**2 + 556*r + 20 = 0 for r.
-1/30, 1, 5
Solve -2*w**3/13 + 20*w**2/13 + 22*w/13 = 0.
-1, 0, 11
Factor 26*c**2/3 + 20*c + 16/3.
2*(c + 2)*(13*c + 4)/3
Solve 2*t**3 - 20*t**2 + 54*t - 36 = 0.
1, 3, 6
Factor -2*u**5 - 174*u**4.
-2*u**4*(u + 87)
What is h in 2*h**3/11 - 86*h**2/11 + 166*h/11 - 82/11 = 0?
1, 41
Factor -2*t**5 + 392*t**4 - 18812*t**3 - 38808*t**2 - 19602*t.
-2*t*(t - 99)**2*(t + 1)**2
Let -2*i**5/9 - 268*i**4/9 - 1052*i**3/9 - 1568*i**2/9 - 1042*i/9 - 260/9 = 0. What is i?
-130, -1
Factor k**2/3 + k/3 - 2/3.
(k - 1)*(k + 2)/3
Suppose -x**2/3 - 1174*x/3 - 344569/3 = 0. What is x?
-587
What is a in -a**3/2 - 25*a**2/2 + 41*a - 28 = 0?
-28, 1, 2
Factor 2*n**2/5 - 34*n/5 - 168/5.
2*(n - 21)*(n + 4)/5
Factor 2*t**3/13 - 2*t**2 + 64*t/13 - 40/13.
2*(t - 10)*(t - 2)*(t - 1)/13
Factor 4*s**2 + 16*s + 16.
4*(s + 2)**2
Factor -5*l**3 - 175*l**2 - 480*l.
-5*l*(l + 3)*(l + 32)
Solve -t**2/4 + 6*t - 143/4 = 0 for t.
11, 13
Factor -2*k**2 - 60*k + 128.
-2*(k - 2)*(k + 32)
Find p, given that 913*p**2/2 - 456*p - 1/2 = 0.
-1/913, 1
Let 3*z**4 - 24*z**3 - 459*z**2 - 1404*z - 972 = 0. Calculate z.
-6, -3, -1, 18
Factor -2*g**2/3 - 88*g/3 - 968/3.
-2*(g + 22)**2/3
What is c in -5*c**4/2 + 35*c**3/2 - 75*c**2/2 + 65*c/2 - 10 = 0?
1, 4
Find o, given that 3*o**4/4 - 195*o**3/4 + 381*o**2/4 - 189*o/4 = 0.
0, 1, 63
Factor -r**2/11 + 9*r/11 + 70/11.
-(r - 14)*(r + 5)/11
Determine f so that -6*f**5 + 39*f**4/2 - 45*f**3/2 + 21*f**2/2 - 3*f/2 = 0.
0, 1/4, 1
Determine q, given that -2*q**2/3 - 12*q = 0.
-18, 0
Let 3*u**2 - 48*u + 192 = 0. What is u?
8
Solve 3*b**3 - 105*b**2 + 432*b + 540 = 0 for b.
-1, 6, 30
What is k in -k**3/7 + 64*k**2/7 - 125*k/7 + 62/7 = 0?
1, 62
Suppose -4*c**3 - 4*c**2 + 96*c - 144 = 0. Calculate c.
-6, 2, 3
Determine c, given that 2*c**4/5 + 36*c**3/5 + 144*c**2/5 + 188*c/5 + 78/5 = 0.
-13, -3, -1
Let 4*r**3/5 + 408*r**2/5 + 10404*r/5 = 0. Calculate r.
-51, 0
What is o in 12*o**3 - 69*o**2 - 18*o = 0?
-1/4, 0, 6
Factor b**2/7 - 9342*b/7 + 21818241/7.
(b - 4671)**2/7
Factor -2*i**4/11 - 62*i**3/11 - 118*i**2/11 - 58*i/11.
-2*i*(i + 1)**2*(i + 29)/11
What is b in -14*b**5/9 - 206*b**4/9 - 54*b**3 + 926*b**2/9 - 220*b/9 = 0?
-11, -5, 0, 2/7, 1
Factor -3*p**2/2 + 753*p - 189003/2.
-3*(p - 251)**2/2
Factor 3*s**3 + 42*s**2 + 75*s + 36.
3*(s + 1)**2*(s + 12)
Let -s**4 + 8*s**3 - 15*s**2 = 0. Calculate s.
0, 3, 5
Factor d**2/4 - 278*d - 1113/4.
(d - 1113)*(d + 1)/4
Find h, given that -8*h**5 - 76*h**4 - 260*h**3 - 400*h**2 - 272*h - 64 = 0.
-4, -2, -1, -1/2
Factor 3*a**2/8 + 531*a + 4245/8.
3*(a + 1)*(a + 1415)/8
Suppose 4*t**3/3 + 2*t**2/3 - 26*t/3 + 4 = 0. What is t?
-3, 1/2, 2
Factor -o**2/2 - 23*o/2 + 105.
-(o - 7)*(o + 30)/2
Let 5*q**5 + 125*q**4 - 1125*q**3 - 125*q**2 + 1120*q = 0. Calculate q.
-32, -1, 0, 1, 7
Let 5*m**4 + 125*m**3 = 0. Calculate m.
-25, 0
Solve 2*a**4/15 + 2*a**3/5 - 16*a**2/15 - 8*a/5 + 32/15 = 0.
-4, -2, 1, 2
Determine s so that -4*s**2/3 + 10328*s/3 = 0.
0, 2582
Factor 49*j**4 - 1736*j**3 + 18064*j**2 - 47616*j + 36864.
(j - 16)**2*(7*j - 12)**2
Solve -2*j**2/3 - 34*j/3 + 40 = 0.
-20, 3
Let 5*i**3/4 - 95*i**2/2 - 2075*i/4 - 470 = 0. Calculate i.
-8, -1, 47
What is z in -z**3 + 14*z**2 = 0?
0, 14
Find z, given that 2*z**3 - 14*z**2 - 8*z + 56 = 0.
-2, 2, 7
Determine n so that 2*n**2/19 - 5044*n/19 + 5042/19 = 0.
1, 2521
Solve b**3/4 + 2025*b**2/4 + 1366875*b/4 + 307546875/4 = 0 for b.
-675
Determine d, given that -5*d**5 - 70*d**4 + 205*d**3 + 710*d**2 - 200*d - 640 = 0.
-16, -2, -1, 1, 4
Factor f**3 - 112*f**2 + 2900*f + 13456.
(f - 58)**2*(f + 4)
Determine r so that -5*r**3 + 20*r**2 - 15*r = 0.
0, 1, 3
Suppose 22*k**5/9 - 194*k**4/9 + 404*k**3/9 - 184*k**2/9 - 16*k/3 = 0. What is k?
-2/11, 0, 1, 2, 6
Determine i so that 2*i**2/17 - 8*i + 136 = 0.
34
Determine s, given that 174243*s**3/5 - 33981*s**2 - 4311*s/5 - 27/5 = 0.
-3/241, 1
Determine z, given that 8*z**2 - 662*z + 1292 = 0.
2, 323/4
Determine o, given that -o**2/4 - 9*o/4 + 5/2 = 0.
-10, 1
Factor -v**2/3 - 4*v.
-v*(v + 12)/3
Solve l**4/2 - 83*l**3/2 + 40*l**2 + 82*l = 0 for l.
-1, 0, 2, 82
Determine q so that 2*q**4/7 + 8*q**3/7 - 38*q**2/7 - 92*q/7 - 48/7 = 0.
-6, -1, 4
Let -4*m**4 + 116*m**3 + 372*m**2 + 380*m + 128 = 0. Calculate m.
-1, 32
Find i, given that i**5/3 + 8*i**4/3 - 28*i**3 + 18*i**2 + 225*i - 378 = 0.
-14, -3, 3
Suppose 36*s**3/7 - 312*s**2/7 - 107*s/7 - 9/7 = 0. Calculate s.
-1/6, 9
Solve -2*a**4/3 + 38*a**3 - 418*a**2/3 - 118*a + 636 = 0.
-2, 3, 53
Factor 3*j**2 + 1458*j - 2928.
3*(j - 2)*(j + 488)
Factor 2*k**3/11 + 36*k**2/11 + 130*k/11.
2*k*(k + 5)*(k + 13)/11
Find t, given that -t**2/7 + 11*t/7 + 12/7 = 0.
-1, 12
Factor i**2/5 - 7*i/5 + 12/5.
(i - 4)*(i - 3)/5
Factor 4*b**2/7 - 4656*b/7 + 1354896/7.
4*(b - 582)**2/7
Determine k so that k**2/4 - 1217*k/2 + 1481089/4 = 0.
1217
Let 3*n**2/4 - 1389*n + 643107 = 0. What is n?
926
Factor 5*x**5 - 220*x**4 + 2420*x**3.
5*x**3*(x - 22)**2
Let 2*d**3 + 100*d**2 + 186*d - 288 = 0. What is d?
-48, -3, 1
Solve -5*q**2 + 325*q = 0 for q.
0, 65
Factor -14*c**3/5 + 46*c**2/5 + 128*c/5 - 8.
-2*(c - 5)*(c + 2)*(7*c - 2)/5
Factor 3*n**3 + 318*n**2 - 648*n.
3*n*(n - 2)*(n + 108)
Factor v**3/2 + 49*v**2/2 + 70*v + 46.
(v + 1)*(v + 2)*(v + 46)/2
Factor 2*d**3/11 - 54*d**2/11 - 80*d/11 + 672/11.
2*(d - 28)*(d - 3)*(d + 4)/11
Suppose -3*c**3/4 - 57*c**2/2 + 126*c = 0. What is c?
-42, 0, 4
Determine l, given that 3*l**5 + 255*l**4 - 1050*l**3 + 1590*l**2 - 1065*l + 267 = 0.
-89, 1
Solve -5*n**4 + 70*n**3 - 360*n**2 + 800*n - 640 = 0.
2, 4
Factor 25*z**3 + 235*z**2 + 91*z + 9.
(z + 9)*(5*z + 1)**2
Let 3*y**5/4 - 51*y**4/2 + 99*y**3/4 = 0. What is y?
0, 1, 33
Suppose 7*w**2 - 306*w - 88 = 0. Calculate w.
-2/7, 44
Factor 5*p**5 - 10*p**4 + 10*p**2 - 5*p.
5*p*(p - 1)**3*(p + 1)
Factor 5*k**2/8 - 9*k/8 - 1/4.
(k - 2)*(5*k + 1)/8
Find s such that 3*s**2 + 12*s = 0.
-4, 0
Solve -2*w**3 - 646*w**2/7 - 92*w/7 = 0.
-46, -1/7, 0
Factor 48*s**3 - 408*s**2 + 531*s - 189.
3*(s - 7)*(4*s - 3)**2
Factor u**3/6 - 5*u**2/3 + 7*u/2.
u*(u - 7)*(u - 3)/6
Determine s so that s**3 + 28*s**2 - 4*s - 112 = 0.
-28, -2, 2
Factor 2*u**2 - 158*u + 1496.
2*(u - 68)*(u - 11)
What is x in 2*x**4/7 - 4*x**3/7 - 26*x**2/7 - 20*x/7 = 0?
-2, -1, 0, 5
Factor -2*u**3/7 + 86*u**2/7 - 320*u/7 + 312/7.
-2*(u - 39)*(u - 2)**2/7
Factor 20*j**3 - 7652*j**2 + 734204*j - 437772.
4*(j - 191)**2*(5*j - 3)
Factor 2*f**3/5 + 12*f**2/5 - 64/5.
2*(f - 2)*(f + 4)**2/5
Solve -3*m**3/2 + 5*m**2/4 + 2*m - 7/4 = 0.
-7/6, 1
Factor 4*p**3/3 - 136*p**2/3 - 16*p/3 + 544/3.
4*(p - 34)*(p - 2)*(p + 2)/3
Factor -4*s**4/3 + 16*s**3/3 + 20*s**2/3.
-4*s**2*(s - 5)*(s + 1)/3
Factor -15*i**3 + 1955*i**2 - 640*i - 1300.
-5*(i - 130)*(i - 1)*(3*i + 2)
Determine i so that i**3 + 96*i**2 + 371*i + 276 = 0.
-92, -3, -1
Factor 2*i**2/17 - 28*i/17 + 80/17.
2*(i - 10)*(i - 4)/17
Solve -b**3/2 - 29*b**2/2 - 195*b/2 + 225/2 = 0 for b.
-15, 1
Factor 2*t**2/3 + 304*t/3.
2*t*(t + 152)/3
What is f in 3*f**2/2 - 210*f + 4257/2 = 0?
11, 129
Find s such that -2*s**5/11 + 18*s**3/11 + 8*s**2/11 - 24*s/11 = 0.
-2, 0, 1, 3
Factor g**2/11 - 4/11.
(g - 2)*(g + 2)/11
Find d, given that 3*d**4/5 + 33*d**3/5 + 99*d**2/5 + 3*d - 30 = 0.
-5, -2, 1
Determine g so that -2*g**2/5 + 11704*g/5 - 17122952/5 = 0.
2926
Determine a so that -2*a**2 + 4*a + 6 = 0.
-1, 3
Factor 8*u**2/7 - 27*u/7 + 9/7.
(u - 3)*(8*u - 3)/7
Factor 16*z**3/3 - 34*z**2 + 26*z/3 + 20.
2*(z - 6)*(z - 1)*(8*z + 5)/3
Factor 2*c**2/9 + 2*c/9 - 4/9.
2*(c - 1)*(c + 2)/9
Solve 2*x**2/11 + 78*x - 860/11 = 0 for x.
-430, 1
Solve 4*b**2 - 348*b + 1328 = 0 for b.
4, 83
Factor 2*k**2/3 + 7616*k/3 + 7250432/3.
2*(k + 1904)**2/3
Factor o**4 - 232*o**3 + 18018*o**2 - 474320*o + 456533.
(o - 77)**3*(o - 