6/3.
2*(g + 6)*(g + 178)**2/9
Determine y so that 5*y**3 - 105*y**2 + 360*y + 2160 = 0.
-3, 12
Let -784*y**5 - 2548*y**4 - 524*y**3 + 208*y**2 + 48*y = 0. What is y?
-3, -2/7, -1/4, 0, 2/7
Let v**2/2 - 17*v - 76 = 0. What is v?
-4, 38
Determine p so that -p**2 - 36*p - 68 = 0.
-34, -2
What is z in z**5 - 14*z**4 + 40*z**3 = 0?
0, 4, 10
Factor 3*s**5/4 + 861*s**4 + 495933*s**3/2 + 493353*s**2 + 984987*s/4.
3*s*(s + 1)**2*(s + 573)**2/4
Suppose 3*q**3/5 + 84*q**2 + 795*q + 1950 = 0. What is q?
-130, -5
Solve 20*p**4 + 5*p**3 - 960*p**2 + 2320*p + 640 = 0.
-8, -1/4, 4
Find i, given that -i**2 + 2753*i + 2754 = 0.
-1, 2754
Factor -2*n**2 + 4*n - 2.
-2*(n - 1)**2
Find f such that 3*f**4 - 12*f**3 + 9*f**2 + 12*f - 12 = 0.
-1, 1, 2
Factor -y**2/2 - 299*y/2 + 301.
-(y - 2)*(y + 301)/2
Determine a, given that 2*a**4/3 + 70*a**3/9 + 38*a**2/9 - 70*a/9 - 44/9 = 0.
-11, -1, -2/3, 1
Suppose 4*a**5/3 - 44*a**4/3 + 104*a**3/3 - 64*a**2/3 = 0. What is a?
0, 1, 2, 8
Factor -f**4 + 2*f**3 + 15*f**2 - 32*f + 16.
-(f - 4)*(f - 1)**2*(f + 4)
Suppose 15*s**2/8 - 99*s/2 + 39/2 = 0. What is s?
2/5, 26
Determine v so that -4*v**2 + 64*v - 220 = 0.
5, 11
Solve -9*v**2/5 + 609*v/5 - 1746/5 = 0 for v.
3, 194/3
Factor -2*y**2/17 + 2854*y/17 - 2852/17.
-2*(y - 1426)*(y - 1)/17
Determine p, given that -3*p**2 - 24*p - 48 = 0.
-4
Factor 3*c**3 + 2505*c**2 + 519141*c - 1580049.
3*(c - 3)*(c + 419)**2
Factor -p**3/9 - 43*p**2/9 + 46*p/9 + 88/9.
-(p - 2)*(p + 1)*(p + 44)/9
Factor 4*c**4/3 + 17*c**3 - 66*c**2 + 160*c/3.
c*(c - 2)*(c + 16)*(4*c - 5)/3
Determine r so that -r**4 - 13*r**3/2 + 42*r**2 + 145*r/2 + 25 = 0.
-10, -1, -1/2, 5
Factor 32*b**2/5 - 42*b + 108/5.
2*(b - 6)*(16*b - 9)/5
Suppose -10*s**5 + 36*s**4 - 48*s**3 + 28*s**2 - 6*s = 0. Calculate s.
0, 3/5, 1
Find k, given that -k**2 + 235*k - 466 = 0.
2, 233
Factor 4*h**3 + 2892*h**2 + 696972*h + 55990084.
4*(h + 241)**3
Factor -2*k**3/7 + 10*k**2/7 + 48*k/7.
-2*k*(k - 8)*(k + 3)/7
Factor 5*g**4 - 60*g**3 + 150*g**2 - 140*g + 45.
5*(g - 9)*(g - 1)**3
Find f such that -14*f**3/13 + 64*f**2/13 - 22*f/13 - 100/13 = 0.
-1, 2, 25/7
Find u such that -2*u**2/9 + 34*u/3 + 104/9 = 0.
-1, 52
Solve -k**2/5 + 26*k/5 - 33 = 0.
11, 15
Factor 3*c**3 + 48*c**2 + 84*c.
3*c*(c + 2)*(c + 14)
Solve 4*p**4/3 - 49*p**3/3 - 712*p**2/3 - 491*p/3 + 56 = 0.
-8, -1, 1/4, 21
Let -4*m**5 + 72*m**4 + 88*m**3 - 208*m**2 - 372*m - 152 = 0. Calculate m.
-1, 2, 19
Factor 4*r**2 - 88*r + 84.
4*(r - 21)*(r - 1)
Suppose 2*i**3/5 + 6*i**2/5 - 36*i/5 = 0. What is i?
-6, 0, 3
Determine z so that -2*z**4 + 128*z**3 - 2172*z**2 + 3968*z - 1922 = 0.
1, 31
Suppose 2*v**4/13 - 6*v**3/13 - 8*v**2/13 = 0. Calculate v.
-1, 0, 4
Factor 14*a**3 + 20*a**2 + 6*a.
2*a*(a + 1)*(7*a + 3)
Factor -4*r**3/7 - 2788*r**2/7 + 1200*r.
-4*r*(r - 3)*(r + 700)/7
Factor -5*k**3 + 400*k**2 - 395*k.
-5*k*(k - 79)*(k - 1)
Factor l**2/6 + 10*l/3 - 7/2.
(l - 1)*(l + 21)/6
Solve 3*c**3 + 3669*c**2/4 - 2301*c/2 + 921/4 = 0.
-307, 1/4, 1
Determine i, given that -3*i**2/7 - 849*i/7 + 852/7 = 0.
-284, 1
Factor -2*v**3/5 - 38*v**2/5 + 44*v/5 + 16.
-2*(v - 2)*(v + 1)*(v + 20)/5
Let -w**5 + 26*w**4/3 - 79*w**3/3 + 32*w**2 - 12*w = 0. Calculate w.
0, 2/3, 2, 3
Solve 27*a**4 + 222*a**3 - 492*a**2 - 120*a = 0 for a.
-10, -2/9, 0, 2
Suppose -5*p**5 - 175*p**4 - 170*p**3 = 0. Calculate p.
-34, -1, 0
Solve -3*v**3/2 - 18*v**2 - 81*v/2 = 0.
-9, -3, 0
Factor 4*p**2 + 168*p - 1372.
4*(p - 7)*(p + 49)
Factor -4*w**4 + 52*w**3 + 456*w**2 + 128*w - 2432.
-4*(w - 19)*(w - 2)*(w + 4)**2
Let 2*s**2/5 - 266*s/5 = 0. What is s?
0, 133
What is x in 2*x**2/9 - 28*x/9 + 26/9 = 0?
1, 13
Solve -4*g**4 - 1228*g**3 - 3660*g**2 - 3652*g - 1216 = 0.
-304, -1
Solve -2*c**2 + 232*c + 1464 = 0 for c.
-6, 122
What is v in -4*v**5 - 28*v**4/3 + 12*v**3 + 20*v**2 - 56*v/3 = 0?
-7/3, -2, 0, 1
Suppose -q**4/2 - q**3 = 0. Calculate q.
-2, 0
Factor 3*s**4 - 91*s**3 - 366*s**2 - 276*s + 136.
(s - 34)*(s + 2)**2*(3*s - 1)
Solve -t**2/9 - 434*t/9 + 872/9 = 0.
-436, 2
Factor 2*r**4/5 + 18*r**3/5 + 12*r**2/5 - 32*r/5.
2*r*(r - 1)*(r + 2)*(r + 8)/5
What is b in b**4 - 45*b**3 + 233*b**2 + 45*b - 234 = 0?
-1, 1, 6, 39
Factor -2*h**2/3 + 52*h/3 - 338/3.
-2*(h - 13)**2/3
What is d in 12*d**2 - 304*d - 540 = 0?
-5/3, 27
Find p such that -3*p**2 - 57*p - 102 = 0.
-17, -2
Suppose -4*b**2 + 160*b - 304 = 0. Calculate b.
2, 38
Find c, given that 2*c**4 + 18*c**3 + 10*c**2 - 162*c - 252 = 0.
-7, -3, -2, 3
Suppose 2*h**2 + 19*h/2 - 5/2 = 0. Calculate h.
-5, 1/4
Solve 2*w**2/11 + 72*w/11 - 74/11 = 0.
-37, 1
Solve -2*w**5 + 2*w**4 + 36*w**3 - 100*w**2 + 94*w - 30 = 0 for w.
-5, 1, 3
Factor -6*s**2/5 + 2158*s/5 + 144.
-2*(s - 360)*(3*s + 1)/5
Factor 12*p**2 - 4161*p - 1041.
3*(p - 347)*(4*p + 1)
Factor -4*p**2 + 11212*p + 11216.
-4*(p - 2804)*(p + 1)
Let 2*f**5 + 21*f**4/2 - 103*f**3/2 - 431*f**2/2 - 381*f/2 - 35 = 0. Calculate f.
-7, -2, -1, -1/4, 5
Factor -3*d**2 - 36*d + 84.
-3*(d - 2)*(d + 14)
Let -2*o**2 + 180*o + 368 = 0. What is o?
-2, 92
Determine k so that 10*k**5 - 214*k**4 + 1074*k**3 + 814*k**2 - 484*k = 0.
-1, 0, 2/5, 11
Factor -2*k**3 - 838*k**2 - 1670*k - 834.
-2*(k + 1)**2*(k + 417)
Factor -5*l**3/4 + 35*l/4 - 15/2.
-5*(l - 2)*(l - 1)*(l + 3)/4
Suppose -z**2/5 - 66*z/5 + 67/5 = 0. What is z?
-67, 1
Factor x**4/2 - 6*x**3 + 21*x**2/2 - 5*x.
x*(x - 10)*(x - 1)**2/2
Factor -3*p**3 - 27*p**2 + 3*p + 27.
-3*(p - 1)*(p + 1)*(p + 9)
Solve -2*f**2 + 1036*f - 134162 = 0 for f.
259
Factor -2*u**2/3 + 56*u/3 - 392/3.
-2*(u - 14)**2/3
Factor -5*j**2 + 835*j - 830.
-5*(j - 166)*(j - 1)
Factor -q**2/2 + 85*q/2 + 1050.
-(q - 105)*(q + 20)/2
Factor -57*x**2/2 - 29*x - 1/2.
-(x + 1)*(57*x + 1)/2
Suppose -4*b**3 - 8*b**2 + 5120*b - 67200 = 0. What is b?
-42, 20
Let -4*a**4 - 328*a**3 - 7312*a**2 - 22776*a + 30420 = 0. Calculate a.
-39, -5, 1
Factor 3*x**3/4 - 81*x**2/4 + 18*x + 39.
3*(x - 26)*(x - 2)*(x + 1)/4
Determine c so that -30*c**2 + 63*c = 0.
0, 21/10
What is j in -2*j**3/7 - 18*j**2/7 + 2*j/7 + 18/7 = 0?
-9, -1, 1
Solve 2*r**4 + 8*r**3 + 10*r**2 + 4*r = 0 for r.
-2, -1, 0
Factor -s**2 + 120*s + 369.
-(s - 123)*(s + 3)
Factor 10*j**3/7 + 158*j**2/7 - 56*j + 72/7.
2*(j - 2)*(j + 18)*(5*j - 1)/7
Let -2*a**2/23 - 11916*a/23 - 17748882/23 = 0. Calculate a.
-2979
Find z, given that -3*z**5 - 15*z**4 + 69*z**3 - 33*z**2 - 66*z + 48 = 0.
-8, -1, 1, 2
Factor -3*g**2 - 288*g - 6912.
-3*(g + 48)**2
Factor -35*l**2 - 5*l.
-5*l*(7*l + 1)
Suppose 12*g**3 - 14*g**2 + 2*g = 0. Calculate g.
0, 1/6, 1
Factor -60*k**3 + 484*k**2 + 1168*k - 80.
-4*(k - 10)*(k + 2)*(15*k - 1)
Factor k**3 - 20*k**2 + 37*k - 18.
(k - 18)*(k - 1)**2
Factor f**4/9 - 22*f**3/3 + 1213*f**2/9 - 1364*f/3 + 3844/9.
(f - 31)**2*(f - 2)**2/9
Find g, given that -3*g**5 + 84*g**3 - 48*g**2 - 576*g + 768 = 0.
-4, 2, 4
Let 3*k**3/2 + 33*k**2/2 - 84*k + 90 = 0. What is k?
-15, 2
Suppose -3*r**3 + 102*r**2 - 729*r + 1350 = 0. What is r?
3, 6, 25
Find v such that -v**4/2 + 127*v**3 - 16129*v**2/2 = 0.
0, 127
Factor y**4/7 - 29*y**3/7 + 54*y**2/7.
y**2*(y - 27)*(y - 2)/7
Factor -2*l**3/9 + 22*l**2/9 - 20*l/9.
-2*l*(l - 10)*(l - 1)/9
What is l in -3*l**2 - 1896*l - 299568 = 0?
-316
Factor 4*m**5 - 24*m**4 + 48*m**3 - 32*m**2.
4*m**2*(m - 2)**3
Factor -4*y**2/5 + 548*y/5 + 1112/5.
-4*(y - 139)*(y + 2)/5
Suppose 4*s**4 + 44*s**3 + 132*s**2 + 20*s - 200 = 0. Calculate s.
-5, -2, 1
Determine g so that 11*g**4/5 - 53*g**3/5 + 67*g**2/5 - 19*g/5 - 6/5 = 0.
-2/11, 1, 3
Determine t so that 10*t**5/3 - 26*t**4/3 + 8*t**3/3 + 8*t**2/3 = 0.
-2/5, 0, 1, 2
Let -u**3 - 15*u**2 + u + 15 = 0. What is u?
-15, -1, 1
Factor -j**4/2 + 3*j**3 + 35*j**2/2 + 24*j + 10.
-(j - 10)*(j + 1)**2*(j + 2)/2
Determine x, given that 2*x**3/3 + 1868*x**2/3 + 436178*x/3 = 0.
-467, 0
Factor -4*a**3 + 44*a**2.
-4*a**2*(a - 11)
Find u, given that -4*u**2 - 660*u = 0.
-165, 0
Find y, given that -48*y**3 + 579*y**2 - 996*y + 60 = 0.
1/16, 2, 10
Find m, given that -5*m**2 + 25*m = 0.
0, 5
Determine i, given that 36*i**3/5 - 292*i**2/5 + 464*i/5 - 48/5 = 0.
1/9, 2, 6
Find u, given that -5*u**2 - 15*u + 90 = 0.
-6, 3
Find t, given that -4*t**5 - 220*t**4 - 1832*t**3 - 1400*t**2 + 1836*t + 1620 = 0.
-45, -9, -1, 1
Determine h, given that 16*h**4/9 + 14*h**3 + 32*h**2/3 - 14*h/9 = 0.
-7, -1, 0, 1/8
Factor -15*m**5 - 20*m**4 - 5*m**3.
-5*m