- 648*i/5 - 652/5 = 0. What is i?
-1, 163
Suppose 1083*g**4 - 26106*g**3 - 24336*g**2 + 2778*g - 75 = 0. Calculate g.
-1, 1/19, 25
Factor 4*g**4 - 2916*g**3 + 8724*g**2 - 8716*g + 2904.
4*(g - 726)*(g - 1)**3
Suppose 5*w**3 - 75*w**2 + 115*w + 195 = 0. Calculate w.
-1, 3, 13
Solve -2*q**5/3 - 44*q**4/9 - 4*q**3/9 + 8*q**2 + 10*q/9 - 28/9 = 0.
-7, -1, 2/3, 1
Solve -3*u**3/8 + 45*u**2/8 + 1179*u/8 + 1131/8 = 0.
-13, -1, 29
Solve -3*d**2/7 + 801*d/7 + 804/7 = 0.
-1, 268
Factor -y**3 + 4*y**2 + 95*y - 198.
-(y - 11)*(y - 2)*(y + 9)
Determine m so that -2*m**3/5 + 34*m**2/5 - 174*m/5 + 54 = 0.
3, 5, 9
Factor 2*f**4 - 2*f**3 - 24*f**2 + 56*f - 32.
2*(f - 2)**2*(f - 1)*(f + 4)
Let -2*u**3 - 148*u**2 - 142*u + 292 = 0. What is u?
-73, -2, 1
Factor 63*m**3/2 + 64*m**2 + 67*m/2 + 1.
(m + 1)**2*(63*m + 2)/2
Solve 4*v**4 + 188*v**3 + 360*v**2 = 0 for v.
-45, -2, 0
Determine h so that 3*h**3 + 1119*h**2 + 4437*h + 3321 = 0.
-369, -3, -1
Factor 72*y**5 - 140*y**4 + 64*y**3 + 4*y**2.
4*y**2*(y - 1)**2*(18*y + 1)
Find g such that 5*g**3 + 120*g**2 + 315*g = 0.
-21, -3, 0
Determine r so that r**5/7 - 2*r**4/7 - 44*r**3/7 + 234*r**2/7 - 405*r/7 + 216/7 = 0.
-8, 1, 3
Solve -2*o**3/5 + 56*o**2/5 - 104*o/5 = 0 for o.
0, 2, 26
Find f, given that -2*f**3 + 48*f**2 - 330*f + 484 = 0.
2, 11
Factor -14*a**3 - 1676*a**2 + 3896*a - 976.
-2*(a - 2)*(a + 122)*(7*a - 2)
Factor -3*n**2 - 72*n + 75.
-3*(n - 1)*(n + 25)
Let -89373*k**3/8 - 8649*k**2/8 - 279*k/8 - 3/8 = 0. What is k?
-1/31
Factor -2*w**2/3 - 896*w - 5368/3.
-2*(w + 2)*(w + 1342)/3
Solve 34848*o**5/7 + 2640*o**4 + 3506*o**3/7 + 40*o**2 + 8*o/7 = 0 for o.
-2/11, -1/12, 0
Factor z**3/2 + 787*z**2/2 - z/2 - 787/2.
(z - 1)*(z + 1)*(z + 787)/2
Suppose -3*v**4 + 12*v**3 + 48*v**2 - 48*v - 144 = 0. What is v?
-2, 2, 6
What is o in o**2/2 + 7*o + 13/2 = 0?
-13, -1
Solve -5*d**4/3 - 4045*d**3 - 3272405*d**2 - 2647375645*d/3 = 0 for d.
-809, 0
Find m, given that 2*m**2/3 + 1162*m/15 + 232/15 = 0.
-116, -1/5
Determine n so that -2*n**4/17 - 2*n**3/17 + 20*n**2/17 + 8*n/17 - 48/17 = 0.
-3, -2, 2
Let -2*l**4/13 - 10*l**3/13 - 6*l**2/13 + 18*l/13 = 0. Calculate l.
-3, 0, 1
Find y such that 2*y**2 - 312*y + 12168 = 0.
78
Factor 2*o**2/11 + 4*o - 816/11.
2*(o - 12)*(o + 34)/11
Let -2*p**4/7 + 20*p**3/7 + 50*p**2/7 - 20*p/7 - 48/7 = 0. Calculate p.
-2, -1, 1, 12
Let 5*t**2 + 10*t - 175 = 0. What is t?
-7, 5
Factor -3*q**4/5 + 3*q**2/5.
-3*q**2*(q - 1)*(q + 1)/5
Let -5*u**3 + 15*u**2 + 525*u + 1625 = 0. Calculate u.
-5, 13
Find c such that c**5/4 + 13*c**4/4 - 28*c**3 - 103*c**2 - 72*c = 0.
-18, -2, -1, 0, 8
Determine c, given that 3*c**4/2 + 37*c**3/6 + 49*c**2/6 + 23*c/6 + 1/3 = 0.
-2, -1, -1/9
Factor 2*s**3 - 30*s**2 + 126*s - 98.
2*(s - 7)**2*(s - 1)
Suppose -k**4/7 + 20*k**3 - 683*k**2/7 + 1084*k/7 - 540/7 = 0. Calculate k.
1, 2, 135
Solve 399854*i**3 - 47658*i**2 - 1296*i - 8 = 0 for i.
-2/169, 1/7
Factor 45*a**4 - 55*a**3 - 80*a**2 + 20*a.
5*a*(a - 2)*(a + 1)*(9*a - 2)
Factor t**3/3 - 7*t**2/3 - 40*t/3 + 100/3.
(t - 10)*(t - 2)*(t + 5)/3
Solve 2*y**4/9 + 10*y**3/3 + 14*y**2 + 98*y/9 = 0.
-7, -1, 0
Determine p, given that -p**3/3 - 355*p**2 - 94696*p - 283024/3 = 0.
-532, -1
Determine z so that z**5 + 26*z**4 + 24*z**3 - 2074*z**2 + 2023*z = 0.
-17, 0, 1, 7
Find f, given that 4*f**5 + 76*f**4 + 508*f**3 + 1572*f**2 + 2304*f + 1296 = 0.
-9, -3, -2
Factor 5*m**2 + 310*m + 600.
5*(m + 2)*(m + 60)
Find t, given that 4*t**4 + 624*t**3 - 1900*t**2 + 1272*t = 0.
-159, 0, 1, 2
Find f, given that -13448*f**2 + 984*f - 18 = 0.
3/82
What is o in -2*o**4/5 + 8*o**3/5 - 12*o**2/5 + 8*o/5 - 2/5 = 0?
1
Let -o**4/10 - 8*o**3/5 + 3*o**2/10 + 5*o + 16/5 = 0. Calculate o.
-16, -1, 2
Factor r**3/2 + 37*r**2/2 + 71*r/2 + 35/2.
(r + 1)**2*(r + 35)/2
What is c in 3*c**4 + 1572*c**3 - 3159*c**2 - 1572*c + 3156 = 0?
-526, -1, 1, 2
Factor 5*l**2 + 2190*l - 8840.
5*(l - 4)*(l + 442)
Factor -f**4 - 13*f**3 + 29*f**2 - 15*f.
-f*(f - 1)**2*(f + 15)
Factor -v**3/5 + 16*v**2/5 - 64*v/5.
-v*(v - 8)**2/5
Factor -2*x**5/9 - 4*x**4/3 - 26*x**3/9 - 8*x**2/3 - 8*x/9.
-2*x*(x + 1)**2*(x + 2)**2/9
Solve -5*c**5 + 185*c**4/3 + 190*c**3 + 150*c**2 + 5*c/3 - 25 = 0 for c.
-1, 1/3, 15
Factor 3*l**4/7 + 6*l**3/7 + 3*l**2/7.
3*l**2*(l + 1)**2/7
Suppose 2*t**2/3 + 42*t = 0. What is t?
-63, 0
Suppose 5*q**4 - 4*q**3 - 42*q**2 - 52*q - 19 = 0. Calculate q.
-1, 19/5
Factor a**2/6 - a - 8/3.
(a - 8)*(a + 2)/6
Solve -2*s**3/15 + 38*s**2/15 = 0 for s.
0, 19
Find g such that -g**3 - 75*g**2 + 153*g - 77 = 0.
-77, 1
Factor -2*i**2/13 + 140*i/13 - 528/13.
-2*(i - 66)*(i - 4)/13
Find p, given that p**5/7 - 6*p**3/7 - 8*p**2/7 - 3*p/7 = 0.
-1, 0, 3
Find w such that -39*w**3/2 - 75*w**2/2 + 3*w = 0.
-2, 0, 1/13
Determine j, given that -2*j**4/3 + 4*j**3/3 + 14*j**2/3 - 40*j/3 + 8 = 0.
-3, 1, 2
Solve x**3/2 - 41*x**2 + 81*x/2 = 0 for x.
0, 1, 81
Factor -16*g**2 + 1810*g + 1596.
-2*(g - 114)*(8*g + 7)
Determine h, given that 5*h**2 - 3470*h = 0.
0, 694
Factor -2*t**3 + 34*t**2 - 32*t.
-2*t*(t - 16)*(t - 1)
Let 2*s**5/5 - 18*s**3/5 - 8*s**2/5 + 24*s/5 = 0. What is s?
-2, 0, 1, 3
Factor -2*s**3 - 64*s**2 - 512*s.
-2*s*(s + 16)**2
Suppose p**4 - 34*p**3 = 0. What is p?
0, 34
Solve 12*f**2 + 3772*f/5 - 504/5 = 0.
-63, 2/15
Factor -i**4 - 362*i**3 - 33473*i**2 - 128164*i.
-i*(i + 4)*(i + 179)**2
Factor d**2/3 - 3*d + 14/3.
(d - 7)*(d - 2)/3
Factor -4*w**2 + 192*w.
-4*w*(w - 48)
Factor 2*a**2/17 - 530*a/17 + 528/17.
2*(a - 264)*(a - 1)/17
Let 4*g**2 + 8*g + 4 = 0. Calculate g.
-1
Factor 2*y**2 + 8236*y + 8478962.
2*(y + 2059)**2
Find r, given that -72*r**3 + 11616*r**2 - 3866*r + 322 = 0.
1/6, 161
Factor y**3 + 23*y**2 + 143*y + 121.
(y + 1)*(y + 11)**2
Factor 2*o**2/9 + 298*o + 2680/9.
2*(o + 1)*(o + 1340)/9
Suppose -p**3/6 - 44*p**2 - 3872*p - 340736/3 = 0. What is p?
-88
Factor -p**5 + 3*p**4 + 7*p**3 - 7*p**2 - 18*p - 8.
-(p - 4)*(p - 2)*(p + 1)**3
Let 3*q**5 - 3*q**4 - 15*q**3 - 9*q**2 = 0. Calculate q.
-1, 0, 3
Factor -d**3/5 + 464*d**2.
-d**2*(d - 2320)/5
Let -g**5/5 + 3*g**3/5 + 2*g**2/5 = 0. What is g?
-1, 0, 2
Find j, given that 2*j**4/15 - 2*j**3/15 - 4*j**2/3 + 8*j/15 + 16/5 = 0.
-2, 2, 3
Factor -w**5/2 - w**4.
-w**4*(w + 2)/2
Factor -g**3/7 - 125*g**2/7 - 247*g/7 - 123/7.
-(g + 1)**2*(g + 123)/7
Factor f**3/4 + 27*f**2/4 + 85*f/2 + 36.
(f + 1)*(f + 8)*(f + 18)/4
Factor 14*f**3/15 - 4*f**2/15 - 14*f/15 + 4/15.
2*(f - 1)*(f + 1)*(7*f - 2)/15
Suppose -c**4/6 + c**3 + 33*c**2/2 - 52*c/3 = 0. What is c?
-8, 0, 1, 13
Let -2*n**4/11 - 90*n**3/11 - 1378*n**2/11 - 690*n - 6300/11 = 0. What is n?
-15, -14, -1
Suppose -60*j**4 + 243*j**3 - 312*j**2 + 135*j - 6 = 0. Calculate j.
1/20, 1, 2
Factor 2*v**3 - 46*v**2 - 52*v + 96.
2*(v - 24)*(v - 1)*(v + 2)
Find c such that -4*c**4 + 28*c**3 + 40*c**2 - 64*c = 0.
-2, 0, 1, 8
What is l in -3*l**2 + 48*l + 51 = 0?
-1, 17
Determine z so that -4*z**2/3 - 8*z/3 = 0.
-2, 0
Find p such that -162*p**4 + 828*p**3 - 1562*p**2 + 1288*p - 392 = 0.
1, 14/9
What is v in 3*v**5/5 - 5556*v**4/5 + 22194*v**3/5 - 33276*v**2/5 + 22179*v/5 - 5544/5 = 0?
1, 1848
Let 3*q**4 - 3*q**3 - 126*q**2 - 312*q - 192 = 0. What is q?
-4, -2, -1, 8
Suppose -4*c**3 + 2968*c**2 - 5924*c + 2960 = 0. Calculate c.
1, 740
Find t such that 2*t**5/5 + 18*t**4 + 1138*t**3/5 + 2814*t**2/5 + 1764*t/5 = 0.
-21, -2, -1, 0
What is h in -h**3/2 - 70*h**2 + 573*h/2 - 216 = 0?
-144, 1, 3
Factor -27*z**4/4 - 207*z**3/2 - 129*z**2 - 42*z.
-3*z*(z + 14)*(3*z + 2)**2/4
Factor 3*x**2/5 + 387*x/5 - 486.
3*(x - 6)*(x + 135)/5
Solve z**3/8 - 133*z**2/4 + 2108*z + 13872 = 0.
-6, 136
Find m, given that 2*m**5 + 3136*m**4/5 - 7576*m**3/5 + 2528*m**2/5 = 0.
-316, 0, 2/5, 2
Suppose 5*g**2/3 - 205*g/3 - 70 = 0. Calculate g.
-1, 42
Let -3*m**4 - 21*m**3 - 30*m**2 = 0. What is m?
-5, -2, 0
Factor 2*s**3/21 - 2*s**2/3 - 12*s/7.
2*s*(s - 9)*(s + 2)/21
Solve 2*p**5 + 22*p**4 - 210*p**3 - 550*p**2 + 4000*p = 0 for p.
-16, -5, 0, 5
Factor 4*r**4 + 132*r**3 - 1264*r**2 + 1968*r.
4*r*(r - 6)*(r - 2)*(r + 41)
Solve -4*v**4 - 84*v**3 - 388*v**2 + 660*v + 968 = 0.
-11, -1, 2
Solve -s**5 + 35*s**4 - 475*s**3 + 3105*s**2 - 9720*s + 11664 = 0.
4, 9
Solve -6*b**5/7 - 38*b**4/7 - 90*b**3/7 - 14*b**2 - 48*b/7 - 8/7 = 0.
-2, -1, -1/3
Factor -f**2/6 - 74*f/3 - 329/2.
-(f + 7)*(f + 141)/6
Factor 16*v**4/7 - 100*v**3/7 + 24