2*i**2/11 - 10*i/11 - 208/11 = 0.
-8, 13
Suppose 8*q**4/5 + 2*q**3/5 - 26*q**2/5 - 4*q = 0. Calculate q.
-5/4, -1, 0, 2
Determine u, given that 5*u**3 - 460*u**2 + 10105*u + 22090 = 0.
-2, 47
Factor w**3 + 11*w**2 + 8*w - 20.
(w - 1)*(w + 2)*(w + 10)
Factor -2*k**3/7 - 58*k**2/7 - 528*k/7 - 1440/7.
-2*(k + 5)*(k + 12)**2/7
Factor 2*y**2 + 148*y + 2738.
2*(y + 37)**2
Factor 2*t**3/13 - 488*t**2/13 + 31178*t/13 - 169932/13.
2*(t - 119)**2*(t - 6)/13
Factor -i**2/2 - 129*i/2 + 131.
-(i - 2)*(i + 131)/2
Suppose 22*w**2 - 24*w - 40 = 0. What is w?
-10/11, 2
Find a such that 98*a**5 + 1120*a**4 + 1296*a**3 - 1024*a**2 + 160*a = 0.
-10, -2, 0, 2/7
Let -4*o**4/13 - 82*o**3/13 - 438*o**2/13 - 160*o/13 + 200/13 = 0. Calculate o.
-10, -1, 1/2
Factor -2*v**2/9 + 4*v/9 - 2/9.
-2*(v - 1)**2/9
Factor -3*c**2 - 9*c + 30.
-3*(c - 2)*(c + 5)
Factor b**3 + 274*b**2/3 + 2731*b/3 + 880/3.
(b + 11)*(b + 80)*(3*b + 1)/3
Factor -3*l**3/2 + 9*l**2/2 + 24*l + 18.
-3*(l - 6)*(l + 1)*(l + 2)/2
Solve 4*i**4 - 172*i**3 + 168*i**2 = 0.
0, 1, 42
Let -3*t**5/2 + 53*t**4/6 - 37*t**3/2 + 95*t**2/6 - 4*t - 2/3 = 0. What is t?
-1/9, 1, 2
Factor -2*h**3/25 + 1396*h**2/25.
-2*h**2*(h - 698)/25
Factor 4*f**5/3 - 76*f**4/3 + 192*f**3 - 2176*f**2/3 + 4096*f/3 - 1024.
4*(f - 4)**4*(f - 3)/3
Determine p so that -3*p**3/4 + 63*p**2/4 - 60*p = 0.
0, 5, 16
Let 2*u**3/7 - 214*u**2/7 - 62*u - 218/7 = 0. Calculate u.
-1, 109
Factor -c**4/2 + c**3/2 + 33*c**2/2 + 63*c/2.
-c*(c - 7)*(c + 3)**2/2
Suppose -2*z**4 - 1080*z**3 - 144716*z**2 + 292680*z - 146882 = 0. Calculate z.
-271, 1
Find r such that 8*r**2 - 42*r/5 + 2/5 = 0.
1/20, 1
Factor 9*q**3 + 15*q**2 - 12*q - 12.
3*(q - 1)*(q + 2)*(3*q + 2)
Let 3*y**4 - 1152*y**3 + 3438*y**2 - 3432*y + 1143 = 0. What is y?
1, 381
Factor 60*q**2 - 16*q.
4*q*(15*q - 4)
Let o**4 - 178*o**3 - o**2 + 178*o = 0. Calculate o.
-1, 0, 1, 178
Factor -2*o**3/11 - 14*o**2/11 + 84*o/11 + 432/11.
-2*(o - 6)*(o + 4)*(o + 9)/11
Suppose 3*v**5/2 + 21*v**4/2 + 57*v**3/2 + 75*v**2/2 + 24*v + 6 = 0. Calculate v.
-2, -1
Factor 2*t**2/9 + 24*t + 648.
2*(t + 54)**2/9
Factor n**2/7 + 1062*n/7.
n*(n + 1062)/7
Factor y**4/11 + 25*y**3/11 + 38*y**2/11 - 184*y/11.
y*(y - 2)*(y + 4)*(y + 23)/11
Find f, given that -2*f**3/5 + 1622*f**2/5 + 6512*f/5 + 1304 = 0.
-2, 815
Factor 2*d**3 + 46*d**2 + 222*d + 306.
2*(d + 3)**2*(d + 17)
Factor v**2/3 - 106*v/3 + 2809/3.
(v - 53)**2/3
Find h, given that -2*h**5/5 + 78*h**4/5 - 256*h**3/5 - 168*h**2 = 0.
-2, 0, 6, 35
Factor 4*q**4 - 12*q**3 - 548*q**2 - 420*q + 10192.
4*(q - 13)*(q - 4)*(q + 7)**2
Suppose -5*x**2 - 70*x - 245 = 0. Calculate x.
-7
Let 4*m**4/5 + 748*m**3/5 + 31416*m**2/5 - 334768*m/5 + 537824/5 = 0. What is m?
-98, 2, 7
Find y, given that 3*y**4 - 99*y**3 + 444*y**2 - 684*y + 336 = 0.
1, 2, 28
Solve 3*i**5/2 + 15*i**4/2 + 21*i**3/2 - 3*i**2/2 - 12*i - 6 = 0.
-2, -1, 1
Determine k, given that 3*k**2/4 - 3*k/2 - 6 = 0.
-2, 4
Let -18*f**3 - 105*f**2 - 204*f - 132 = 0. What is f?
-2, -11/6
Find h, given that 3*h**5 + 183*h**4 - 186*h**3 = 0.
-62, 0, 1
What is n in 2*n**5/15 + 94*n**4/15 + 318*n**3/5 - 710*n**2/3 + 500*n/3 = 0?
-25, 0, 1, 2
Determine a so that -2*a**3 - 166*a**2/5 + 68*a/5 = 0.
-17, 0, 2/5
Factor 4*q**3 + 4*q**2 - 4*q - 4.
4*(q - 1)*(q + 1)**2
Solve -2*y**3/3 + 32*y**2/9 + 8*y/3 = 0.
-2/3, 0, 6
Solve 18*g**5/17 - 2340*g**4/17 + 6916*g**3/17 - 7392*g**2/17 + 3306*g/17 - 508/17 = 0 for g.
1/3, 2/3, 1, 127
Factor 19*s**3/4 + 237*s**2 + 11775*s/4 - 625/2.
(s + 25)**2*(19*s - 2)/4
Factor 3*f**5/4 + 357*f**4/4 + 705*f**3/4 + 351*f**2/4.
3*f**2*(f + 1)**2*(f + 117)/4
What is n in 9*n**3 - 38*n**2 - 181*n + 42 = 0?
-3, 2/9, 7
Factor -2*r**3/15 + 454*r**2/3 - 642976*r/15 - 645248/15.
-2*(r - 568)**2*(r + 1)/15
Factor s**4/4 - 2*s**3 - s**2 + 8*s.
s*(s - 8)*(s - 2)*(s + 2)/4
Factor 2*y**3 + 134*y**2 - 274*y + 138.
2*(y - 1)**2*(y + 69)
Factor 5*x**4 - 40*x**2 + 80.
5*(x - 2)**2*(x + 2)**2
Factor -9*r**3 - 19635*r**2 - 10705983*r + 3570843.
-3*(r + 1091)**2*(3*r - 1)
Factor 2*y**5 - 1392*y**4 + 322942*y**3 - 24972944*y**2 - 322944*y + 24974336.
2*(y - 232)**3*(y - 1)*(y + 1)
Suppose -2*u**2 + 2542*u + 2544 = 0. What is u?
-1, 1272
Factor -2*d**5/9 + 20*d**4/9 + 100*d**3/9 + 160*d**2/9 + 110*d/9 + 28/9.
-2*(d - 14)*(d + 1)**4/9
Factor -3*w**3 + 273*w**2 + 555*w + 279.
-3*(w - 93)*(w + 1)**2
Factor 5*t**3/4 + 10*t**2 - 115*t/4 - 75/2.
5*(t - 3)*(t + 1)*(t + 10)/4
Solve -2*r**2 + 50*r = 0.
0, 25
Determine d, given that d**4/10 - 79*d**3/10 + 77*d**2/5 = 0.
0, 2, 77
Suppose 16*i**4 + 932*i**3 - 712*i**2 - 236*i = 0. What is i?
-59, -1/4, 0, 1
Factor f**3/4 + 13*f**2/4 - 4*f - 7.
(f - 2)*(f + 1)*(f + 14)/4
Factor -3*w**3/8 - 12*w**2 - 171*w/8 + 135/4.
-3*(w - 1)*(w + 3)*(w + 30)/8
Determine s so that -s**3 - 69*s**2 - 264*s + 36784 = 0.
-44, 19
Determine o so that -2*o**2/21 + 100*o/21 = 0.
0, 50
Let -r**2/2 - 5047*r - 25472209/2 = 0. What is r?
-5047
Suppose 12*a**2 - 490*a - 82 = 0. What is a?
-1/6, 41
Find p, given that 2*p**2 + 86*p - 88 = 0.
-44, 1
Suppose -2*r**5/11 - 10*r**4/11 + 274*r**3/11 - 1158*r**2/11 + 1440*r/11 = 0. What is r?
-16, 0, 3, 5
Suppose -134*u**2/13 + 136*u/13 - 2/13 = 0. What is u?
1/67, 1
Factor 14*x**4/15 + 8*x**3/15 - 36*x**2/5 + 136*x/15 - 10/3.
2*(x - 1)**3*(7*x + 25)/15
Factor -g**2 + 266*g.
-g*(g - 266)
What is t in 2*t**5/15 - 12*t**3/5 - 64*t**2/15 - 2*t = 0?
-3, -1, 0, 5
Factor 5*u**2 + 55*u - 900.
5*(u - 9)*(u + 20)
Let -4*b**3 - 84*b**2 + 88*b = 0. Calculate b.
-22, 0, 1
Let -3*g**2 - 30*g - 27 = 0. What is g?
-9, -1
Find s, given that -3*s**3/7 - 27*s**2/7 - 18*s/7 + 48/7 = 0.
-8, -2, 1
Determine n, given that -3*n**3 + 30*n**2 - 93*n + 90 = 0.
2, 3, 5
Factor -3*f**3/8 - 57*f**2/8 + 123*f/8 - 63/8.
-3*(f - 1)**2*(f + 21)/8
Suppose 3*p**4 - 21*p**3 + 48*p**2 - 36*p = 0. Calculate p.
0, 2, 3
Factor -9*u**2 - 1056*u - 351.
-3*(u + 117)*(3*u + 1)
Factor -4*g**3 - 8*g**2 + 16*g + 32.
-4*(g - 2)*(g + 2)**2
Factor -2*x**2/7 - 596*x/7.
-2*x*(x + 298)/7
Determine z, given that 21*z**3 - 372*z**2 + 249*z + 102 = 0.
-2/7, 1, 17
What is s in -28*s**4/5 - 316*s**3/5 - 368*s**2/5 - 16*s = 0?
-10, -1, -2/7, 0
Solve 6*z**3 - 130*z**2 - 192*z + 184 = 0.
-2, 2/3, 23
Factor -o**2/3 + 286*o/3 - 95.
-(o - 285)*(o - 1)/3
Solve -5*u**4 - 160*u**3 + 510*u**2 - 520*u + 175 = 0 for u.
-35, 1
What is j in -j**3 - 4*j**2 + 32*j = 0?
-8, 0, 4
Factor 2*x**2 - 38*x/7 - 12/7.
2*(x - 3)*(7*x + 2)/7
Suppose 3*m**5 - 108*m**4 - 249*m**3 + 810*m**2 - 456*m = 0. What is m?
-4, 0, 1, 38
Suppose 21*w**3/4 + 1005*w**2/4 + 2988*w - 432 = 0. Calculate w.
-24, 1/7
Let t**3/2 - 263*t**2/2 + 17423*t/2 - 17161/2 = 0. Calculate t.
1, 131
Factor 2*m**4/5 - 16*m**3/5 + 42*m**2/5 - 36*m/5.
2*m*(m - 3)**2*(m - 2)/5
Find c, given that -c**4 + 6*c**3 - 13*c**2 + 12*c - 4 = 0.
1, 2
Factor -u**3 + 55*u**2.
-u**2*(u - 55)
Determine l so that -2*l**5/3 - 54*l**4 - 148*l**3/3 + 968*l**2/3 + 208*l - 1280/3 = 0.
-80, -2, 1, 2
Factor 6*d**2/7 + 426*d/7.
6*d*(d + 71)/7
Factor o**4/6 - o**3/2 - o**2/2 + 7*o/6 + 1.
(o - 3)*(o - 2)*(o + 1)**2/6
Find i, given that 2*i**4/9 + 8*i**3/9 - 76*i**2/9 + 40*i/3 - 6 = 0.
-9, 1, 3
Solve -y**3/4 - 127*y**2 + 509*y/4 = 0 for y.
-509, 0, 1
Factor 1616*a**2 + 340*a - 16.
4*(4*a + 1)*(101*a - 4)
Solve -4*q**4 + 2*q**3 + 532*q**2 - 2138*q + 936 = 0 for q.
-13, 1/2, 4, 9
Factor -5*o**4/3 + 7*o**3/3 - 2*o**2/3.
-o**2*(o - 1)*(5*o - 2)/3
Determine f so that -16*f**5/5 - 1028*f**4 - 421042*f**3/5 - 1317786*f**2/5 - 250902*f/5 + 151686/5 = 0.
-159, -3, -1/2, 1/4
Factor -k**2/7 - 20*k/7 - 19/7.
-(k + 1)*(k + 19)/7
Find j, given that j**2/6 - 23*j/6 = 0.
0, 23
Determine i, given that -2*i**2/3 - 28*i/3 - 16 = 0.
-12, -2
Factor -5*c**2 - 4470*c - 8920.
-5*(c + 2)*(c + 892)
Factor i**2/4 + 2*i.
i*(i + 8)/4
Suppose -2*i**5 - 6*i**4 - 4*i**3 = 0. What is i?
-2, -1, 0
Factor x**5/4 + 201*x**4/4 + 2550*x**3 + 2500*x**2.
x**2*(x + 1)*(x + 100)**2/4
Factor -2*t**4/3 + 16*t**3/3 + 38*t**2/3 + 20*t/3.
-2*t*(t - 10)*(t + 1)**2/3
Solve -4*g**2/3 + 44*g/3 - 40 = 0 for g.
5, 6
Solve -4*z**2/3 - 32*z/3 - 28/3 = 0 for z.
-7, -1
Factor k**2 - 14*k + 33.
(k - 11)*(k - 3)
Find u such that -2*u**2/15 - 13184*u/15 - 21727232/15 = 0.
-3296
Let -4*h**5/3 - 8*h**4/3 + 20*h**3 = 0. What is h?
-5, 0, 3
Determine j so that j**4 + 2*j**3 - 4*j**2 - 2*j +