-3, -1, 2
Solve -8*y**3 - 82*y**2 - 148*y - 32 = 0.
-8, -2, -1/4
Factor 4*p**2/11 - 162*p/11.
2*p*(2*p - 81)/11
Factor 4*l**3 - 1120*l**2 + 80592*l - 304704.
4*(l - 138)**2*(l - 4)
Factor -3*p**2 + 3.
-3*(p - 1)*(p + 1)
Factor 5*o**3 + 280*o**2 - 580*o.
5*o*(o - 2)*(o + 58)
What is i in -10*i**4 + 315*i**3 + 160*i**2 = 0?
-1/2, 0, 32
Determine n, given that 2*n**4/13 - 64*n**3/13 = 0.
0, 32
Factor j**2/3 + 5*j/3 - 22.
(j - 6)*(j + 11)/3
Factor -o**5 + 27*o**4 - 216*o**3 + 432*o**2.
-o**2*(o - 12)**2*(o - 3)
Solve 2*j**2/11 + 152*j/11 - 14 = 0 for j.
-77, 1
Suppose 2*y**4 + 136*y**3 - 1332*y**2 + 4104*y - 4158 = 0. Calculate y.
-77, 3
Let 2*m**2/11 - 6140*m/11 + 4712450/11 = 0. What is m?
1535
Factor a**2/2 - 1185*a/2.
a*(a - 1185)/2
Factor 3*r**2 - 3666*r + 1119963.
3*(r - 611)**2
What is g in 5*g**4/3 + 35*g**3/3 - 110*g**2 + 740*g/3 - 520/3 = 0?
-13, 2
Factor 2*f**4/3 + 2*f**3 - 2*f**2/3 - 2*f.
2*f*(f - 1)*(f + 1)*(f + 3)/3
Suppose -l**2/5 + 138*l/5 + 139/5 = 0. Calculate l.
-1, 139
Solve -2*l**4 + 34*l**3 - 130*l**2 - 34*l + 132 = 0.
-1, 1, 6, 11
Let 4*m**2 - 416*m + 10816 = 0. What is m?
52
Suppose 72*l**4 + 4056*l**3 + 57050*l**2 - 4056*l - 57122 = 0. What is l?
-169/6, -1, 1
Find b, given that -b**4/7 - 6*b**3/7 - 11*b**2/7 - 6*b/7 = 0.
-3, -2, -1, 0
Let -4*n**2/3 - 1756*n/3 - 584 = 0. What is n?
-438, -1
What is t in -5*t**3 + 535*t**2 - 1055*t + 525 = 0?
1, 105
Factor -5*m**3 - 220*m**2 + 225*m.
-5*m*(m - 1)*(m + 45)
What is v in 20*v**3/3 - 40*v**2 + 175*v/3 = 0?
0, 5/2, 7/2
Factor 4*w**4 - 184*w**3 + 172*w**2 + 360*w.
4*w*(w - 45)*(w - 2)*(w + 1)
Let 4*b**5 - 8*b**4 - 180*b**3 - 136*b**2 + 320*b = 0. What is b?
-5, -2, 0, 1, 8
Suppose -4*d**2 - 16*d = 0. What is d?
-4, 0
Factor 5*o**4 + 250*o**3 - 260*o**2 - 250*o + 255.
5*(o - 1)**2*(o + 1)*(o + 51)
Solve 2*o**4/7 - 18*o**3/7 + 54*o**2/7 - 62*o/7 + 24/7 = 0.
1, 3, 4
Factor -3*f**3/5 - 39*f**2/5 + 87*f/5 - 9.
-3*(f - 1)**2*(f + 15)/5
Suppose -2*k**3/7 + 76*k**2/7 + 418*k/7 + 516/7 = 0. What is k?
-3, -2, 43
Factor -2*s**3/9 - 4*s**2/3 - 2*s.
-2*s*(s + 3)**2/9
Factor -5*q**2 - 58*q + 24.
-(q + 12)*(5*q - 2)
Factor 4*y**2/5 + 18*y/5 - 162/5.
2*(y + 9)*(2*y - 9)/5
Suppose 26*c**4 + 134*c**3 - 136*c**2 - 24*c = 0. Calculate c.
-6, -2/13, 0, 1
Factor -3*o**5 + 84*o**4 - 876*o**3 + 4128*o**2 - 8448*o + 6144.
-3*(o - 8)**3*(o - 2)**2
Solve -o**2 - 159*o + 990 = 0 for o.
-165, 6
Find m, given that 5*m**5 - 35*m**4 - 5*m**3 + 35*m**2 = 0.
-1, 0, 1, 7
Solve -2*s**4/9 - 2*s**3/9 + 2*s**2/3 + 2*s/9 - 4/9 = 0.
-2, -1, 1
Find r such that -2*r**2/9 - 2*r/3 + 20/9 = 0.
-5, 2
Find f such that 3*f**3 - 57*f**2 + 48*f + 108 = 0.
-1, 2, 18
Factor d**2/3 + 17*d/3 + 10.
(d + 2)*(d + 15)/3
Determine j, given that -4*j**3 - 64*j**2/9 + 556*j/9 - 40/3 = 0.
-5, 2/9, 3
Find n, given that n**2 + 252*n + 15876 = 0.
-126
Factor 4*o**2/5 - 8128*o/5 + 4129024/5.
4*(o - 1016)**2/5
Determine r so that -4*r**3 - 28800*r**2 - 69120000*r - 55296000000 = 0.
-2400
Factor 4*d**4 - 8*d**3 - 32*d**2 + 72*d - 36.
4*(d - 3)*(d - 1)**2*(d + 3)
Factor y**4 + 14*y**3 + 60*y**2 + 82*y + 35.
(y + 1)**2*(y + 5)*(y + 7)
What is a in 6*a**4/7 + 586*a**3/7 + 13588*a**2/7 - 36200*a/7 - 30000/7 = 0?
-50, -2/3, 3
Find k, given that -k**2/5 + 31*k/5 - 44 = 0.
11, 20
Solve 8*v**5 - 188*v**4 + 264*v**3 + 4*v**2 - 88*v = 0.
-1/2, 0, 1, 22
Find a, given that -21*a**3/2 - 129*a**2 + 249*a/2 + 351 = 0.
-13, -9/7, 2
Factor h**2/3 + h - 4/3.
(h - 1)*(h + 4)/3
Let 3*o**5 + 81*o**4 + 579*o**3 + 351*o**2 - 1014*o = 0. What is o?
-13, -2, 0, 1
Suppose 196*c**4 - 1008*c**3 + 1744*c**2 - 1152*c + 256 = 0. Calculate c.
4/7, 2
Factor -2*i**2 + 40*i + 2842.
-2*(i - 49)*(i + 29)
Factor -2*y**4/19 - 20*y**3/19 + 46*y**2/19 - 24*y/19.
-2*y*(y - 1)**2*(y + 12)/19
Factor -w**3/2 - 15*w**2/2 - 75*w/2 - 125/2.
-(w + 5)**3/2
Suppose 4*w**4 - 20*w**3 + 20*w**2 + 20*w - 24 = 0. Calculate w.
-1, 1, 2, 3
What is d in 2*d**2/13 + 10200*d/13 + 13005000/13 = 0?
-2550
What is g in -4*g**4 - 8*g**3 + 8*g + 4 = 0?
-1, 1
Let -n**3/2 - 5*n**2/4 - n/4 + 1/2 = 0. What is n?
-2, -1, 1/2
Find b such that -b**3 + 158*b**2 - 6688*b + 34656 = 0.
6, 76
Factor 4*r**3 + 44*r**2 + 140*r + 100.
4*(r + 1)*(r + 5)**2
Factor 3*a**3 - 18450*a**2 + 28366875*a.
3*a*(a - 3075)**2
Find g such that -5*g**3 - 45625*g**2 - 104104840*g - 104059220 = 0.
-4562, -1
Factor 2*a**2/3 + 1172*a/3 - 784.
2*(a - 2)*(a + 588)/3
Factor -2*a**3 + 6*a - 4.
-2*(a - 1)**2*(a + 2)
Factor 2*f**3/5 + 68*f**2/5 + 26*f + 64/5.
2*(f + 1)**2*(f + 32)/5
Factor 30*k**2 + 634*k + 84.
2*(k + 21)*(15*k + 2)
Solve 2*z**5/9 + z**4 + 2*z**3/9 - 11*z**2/3 - 40*z/9 - 4/3 = 0 for z.
-3, -2, -1, -1/2, 2
Factor -5*s**5 - 30*s**4 + 35*s**3.
-5*s**3*(s - 1)*(s + 7)
Factor 2*f**3 - 384*f**2/5 + 522*f/5 - 148/5.
2*(f - 37)*(f - 1)*(5*f - 2)/5
Let -m**2 + 252*m + 253 = 0. Calculate m.
-1, 253
Factor s**3 - 6*s**2 - 36*s - 40.
(s - 10)*(s + 2)**2
Factor 3*b**2/7 + 87*b/7 - 108.
3*(b - 7)*(b + 36)/7
Determine z, given that 188*z**4 - 374*z**3 - 4*z**2 = 0.
-1/94, 0, 2
What is r in -5*r**3/2 + 134*r**2 - 3537*r/2 - 729 = 0?
-2/5, 27
Factor -c**2 + 34*c + 35.
-(c - 35)*(c + 1)
Factor -q**3/6 + 527*q**2/3 - 139390*q/3 + 276676/3.
-(q - 526)**2*(q - 2)/6
Suppose l**3/9 - 11*l**2/3 + 7*l - 31/9 = 0. Calculate l.
1, 31
Factor -4*j**3 - 136*j**2 - 260*j - 128.
-4*(j + 1)**2*(j + 32)
Factor 2*r**4 - 28*r**3 - 178*r**2 - 228*r.
2*r*(r - 19)*(r + 2)*(r + 3)
Suppose 20*j**5 + 28*j**4 - 4*j**3 - 12*j**2 = 0. What is j?
-1, 0, 3/5
What is x in x**4 + 25*x**3/4 + 3*x**2/2 = 0?
-6, -1/4, 0
Let -h**4/12 - 225*h**3/4 - 50625*h**2/4 - 3796875*h/4 = 0. Calculate h.
-225, 0
Factor 2*z**4/9 - 10*z**3/9 - 26*z**2/9 - 14*z/9.
2*z*(z - 7)*(z + 1)**2/9
Factor -2*y**4/7 - 4*y**3/7 - 2*y**2/7.
-2*y**2*(y + 1)**2/7
Factor 4*f**5 - 32*f**4 - 12*f**3 + 88*f**2 + 64*f.
4*f*(f - 8)*(f - 2)*(f + 1)**2
Factor 2*o**4/9 - 22*o**3/9 + 70*o**2/9 - 50*o/9.
2*o*(o - 5)**2*(o - 1)/9
Suppose -p**5/2 + 5*p**4 - 2*p**3 - 21*p**2 - 27*p/2 = 0. Calculate p.
-1, 0, 3, 9
Determine n, given that -5*n**3 + 95*n**2 - 155*n - 255 = 0.
-1, 3, 17
Determine y, given that -2*y**3 + 54*y**2 - 160*y - 552 = 0.
-2, 6, 23
Determine p so that -p**4/2 - 5*p**3 - 33*p**2/2 - 20*p - 8 = 0.
-4, -1
Factor 9*o**2 + 12*o.
3*o*(3*o + 4)
Solve -10*s**5 + 6*s**4 + 270*s**3 + 338*s**2 - 60*s - 144 = 0.
-4, -1, 3/5, 6
Solve -a**4/10 + 3*a**3/10 - 3*a**2/10 + a/10 = 0 for a.
0, 1
Let -v**5/2 - 209*v**4/2 - 5183*v**3 + 30017*v**2 + 150335*v/2 + 80143/2 = 0. What is v?
-107, -1, 7
Factor 4*c**2/3 + 1720*c/3 + 5600.
4*(c + 10)*(c + 420)/3
Let 27*l**4/5 - 48*l**3/5 - 12*l**2/5 = 0. Calculate l.
-2/9, 0, 2
Let w**3/5 + 2*w**2 - 13*w/5 - 22/5 = 0. What is w?
-11, -1, 2
Factor 18*g**3 + 1408*g**2 - 2870*g + 1444.
2*(g - 1)**2*(9*g + 722)
Factor -12*p**3 - 1820*p**2 + 2444*p - 612.
-4*(p - 1)*(p + 153)*(3*p - 1)
Factor 2*l**4 + 1092*l**3 + 150146*l**2 + 297024*l + 147968.
2*(l + 1)**2*(l + 272)**2
Let 5*w**5/4 - 59*w**4/4 + 143*w**3/4 + 91*w**2/4 - 37*w - 8 = 0. Calculate w.
-1, -1/5, 1, 4, 8
Find j, given that 7*j**5 + 9*j**4 - 12*j**3 - 4*j**2 = 0.
-2, -2/7, 0, 1
Suppose 2*u**2 - 212*u + 5618 = 0. What is u?
53
What is t in 5*t**5 + 30*t**4 + 20*t**3 - 30*t**2 - 25*t = 0?
-5, -1, 0, 1
What is n in 3*n**5 + 39*n**4 - 309*n**3 - 723*n**2 - 378*n = 0?
-18, -1, 0, 7
Let 2*p**4/15 + 422*p**3/15 - 170*p**2/3 + 142*p/5 = 0. Calculate p.
-213, 0, 1
Factor 2*i**3/19 - 4*i**2/19 - 242*i/19 + 484/19.
2*(i - 11)*(i - 2)*(i + 11)/19
Factor -144*g**3 - 328*g**2 - 145*g + 50.
-(4*g + 5)**2*(9*g - 2)
Solve 2*b**4/5 + 16*b**3/5 + 12*b**2/5 - 16*b + 10 = 0.
-5, 1
Factor 3*g**3 + 39*g**2 - 402*g + 360.
3*(g - 6)*(g - 1)*(g + 20)
Factor -u**3/7 - 12*u**2/7 + 256/7.
-(u - 4)*(u + 8)**2/7
Find i such that -3*i**2/8 - 21*i/8 + 45/4 = 0.
-10, 3
What is w in -w**4/5 + 2*w**3/5 + w**2 - 6*w/5 = 0?
-2, 0, 1, 3
Determine t, given that t**4/3 + t**3 + 2*t**2/3 = 0.
-2, -1, 0
Let 2*c**5 + 23*c**4 - 20*c**3 - 95*c**2 + 18*c + 72 = 0. Calculate c.
-12, -3/2, -1, 1, 2
Solve k**5/5 + 67*k**4/5 + 39*k**3 + 193*k**2/5 + 64*k/5 = 0 for k.
-64, -1, 0
What is n in -3*n**2/2 - 87*n/2 + 198 = 0?
-33, 4
Find y such that 2*y**2/11 - 2562*y/11 - 5132/11 = 0.
-2, 1283
Let 605*u**5 + 55*u**4 - 480*u**3 - 180*u**2 = 0. What is u?
-6/11, 0, 1
Find o such that o*