**2/5 + 106*r/5 + 68/5.
2*(r + 17)*(3*r + 2)/5
Factor 4*m**2/3 - 106*m/9 + 94/9.
2*(m - 1)*(6*m - 47)/9
Factor 2*v**3/3 + 22*v**2/3.
2*v**2*(v + 11)/3
Factor o**2 - 906*o + 205209.
(o - 453)**2
Let 4*n**2 - 32*n - 132 = 0. Calculate n.
-3, 11
Let 20*n**5 + 96*n**4 - 40*n**3 - 96*n**2 + 20*n = 0. Calculate n.
-5, -1, 0, 1/5, 1
What is f in 4*f**3/3 + 3472*f**2/3 + 753424*f/3 = 0?
-434, 0
Factor -4*p**2 - 28*p + 32.
-4*(p - 1)*(p + 8)
What is c in -c**4 + 37*c**3 - 70*c**2 = 0?
0, 2, 35
Determine y so that 35*y**2 - 25*y - 10 = 0.
-2/7, 1
Factor 49*n**3/3 - 101*n**2/3 + 55*n/3 - 1.
(n - 1)**2*(49*n - 3)/3
Solve -n**3/2 - 1973*n**2/2 + 3949*n/2 - 1975/2 = 0 for n.
-1975, 1
Factor -4*n**2 + 32*n + 80.
-4*(n - 10)*(n + 2)
Solve -4*q**5/3 - 100*q**4/3 - 188*q**3 + 884*q**2/3 + 1352*q/3 = 0.
-13, -1, 0, 2
Find m, given that -21*m**3 + 1392*m**2 - 3084*m + 768 = 0.
2/7, 2, 64
Factor -2*y**3/7 + 178*y**2/7 + 744*y/7.
-2*y*(y - 93)*(y + 4)/7
Determine v so that v**3/6 - v**2/6 - v/6 + 1/6 = 0.
-1, 1
Factor -3*r**3 + 123*r**2 + 3*r - 123.
-3*(r - 41)*(r - 1)*(r + 1)
Let 2*m**5/5 - 54*m**4/5 + 134*m**3/5 + 246*m**2/5 - 136*m/5 - 192/5 = 0. Calculate m.
-1, 1, 4, 24
Factor -3*w**4/7 - 24*w**3/7 + 3*w**2/7 + 24*w/7.
-3*w*(w - 1)*(w + 1)*(w + 8)/7
Determine i so that -2*i**4/3 + 77*i**3/6 - 155*i**2/6 + 17*i/3 = 0.
0, 1/4, 2, 17
Let 200*w**3/3 - 50*w**2 + 37*w/3 - 1 = 0. Calculate w.
1/5, 1/4, 3/10
Determine f so that -f**5 + 7*f**4 + 3*f**3 - 19*f**2 - 14*f = 0.
-1, 0, 2, 7
Find p such that -2*p**4 + 220*p**3 - 646*p**2 + 428*p = 0.
0, 1, 2, 107
Determine f, given that 3*f**3/5 + 12*f**2/5 + 3*f + 6/5 = 0.
-2, -1
Solve y**3/7 - 74*y**2/7 - 151*y/7 - 76/7 = 0.
-1, 76
What is w in -2*w**5 + 18*w**4 + 20*w**3 = 0?
-1, 0, 10
Find h, given that 3*h**4 - 117*h**3 - 39*h**2 + 1485*h + 1404 = 0.
-3, -1, 4, 39
Solve 5*o**2 - 5440*o = 0.
0, 1088
Determine q so that 3*q**3/5 - 672*q**2/5 + 36252*q/5 + 155952/5 = 0.
-4, 114
Suppose -3*i**2/4 - 339*i - 38307 = 0. Calculate i.
-226
What is v in 5*v**4 - 15*v**3 - 5*v**2 + 15*v = 0?
-1, 0, 1, 3
Let 4*d**5 + 288*d**4 + 528*d**3 - 2312*d**2 - 5076*d - 2520 = 0. What is d?
-70, -3, -1, 3
Solve 4*v**3/5 - 76*v**2/5 + 252*v/5 - 36 = 0 for v.
1, 3, 15
Determine a, given that -5*a**3 + 140*a**2 + 980*a + 1360 = 0.
-4, -2, 34
Factor 38*r**3 - 20*r**2 - 152*r + 80.
2*(r - 2)*(r + 2)*(19*r - 10)
Find r such that -15*r**4 - 253*r**3 + 304*r**2 - 36*r = 0.
-18, 0, 2/15, 1
Factor 2*r**3/15 - 16*r**2/3 - 190*r/3 - 500/3.
2*(r - 50)*(r + 5)**2/15
Factor -4*n**2 + 2312*n - 334084.
-4*(n - 289)**2
Suppose -h**4/4 + 17*h**3/4 + 187*h**2/4 + 319*h/4 + 75/2 = 0. What is h?
-6, -1, 25
Factor -81*t**2/7 + 15*t/7 + 96/7.
-3*(t + 1)*(27*t - 32)/7
Factor 3*v**3 + 9*v**2 - 3*v - 9.
3*(v - 1)*(v + 1)*(v + 3)
Determine c so that c**3/2 + 17*c**2/2 - 9*c = 0.
-18, 0, 1
Factor 2*q**2 - 74*q + 72.
2*(q - 36)*(q - 1)
Factor 3*a**4 + 84*a**3 + 720*a**2 + 1200*a - 6000.
3*(a - 2)*(a + 10)**3
Factor -c**5 + 15*c**4 - 39*c**3 - 127*c**2 - 72*c.
-c*(c - 9)*(c - 8)*(c + 1)**2
Determine q so that 3*q**4 + 15*q**3 - 66*q**2 + 48*q = 0.
-8, 0, 1, 2
Factor 2*b**3/9 + 188*b**2/3 + 1678*b/9 + 124.
2*(b + 1)*(b + 2)*(b + 279)/9
Factor -5*b**2 + 9785*b + 9790.
-5*(b - 1958)*(b + 1)
Suppose -c**4 + 17*c**3 + 3*c**2 - 53*c + 34 = 0. Calculate c.
-2, 1, 17
Factor 2*v**4/7 + 20*v**3/7 - 26*v**2/7 - 44*v/7.
2*v*(v - 2)*(v + 1)*(v + 11)/7
Determine d so that 4*d**5/3 + 107*d**4/3 - 85*d**3 + 173*d**2/3 - 29*d/3 = 0.
-29, 0, 1/4, 1
Factor 5*z**3 - 225*z**2 + 430*z.
5*z*(z - 43)*(z - 2)
Suppose -2*o**2/3 - 116*o - 346/3 = 0. What is o?
-173, -1
Suppose -y**4/5 - 4*y**3/5 + 38*y**2/5 - 12*y + 27/5 = 0. Calculate y.
-9, 1, 3
Factor -68*u**2 - 80*u - 12.
-4*(u + 1)*(17*u + 3)
Find a, given that a**3 - 271*a**2 - 272*a = 0.
-1, 0, 272
Let -b**2/3 + 10322*b/3 - 26635921/3 = 0. What is b?
5161
Let 2*k**2/7 - 116*k/7 + 1682/7 = 0. What is k?
29
Factor -5*h**3 - 970*h**2 + 2975*h + 3940.
-5*(h - 4)*(h + 1)*(h + 197)
Factor 3*c**4 + 39*c**3 - 3*c**2 - 39*c.
3*c*(c - 1)*(c + 1)*(c + 13)
Determine d so that 4*d**3 - 72*d**2 - 1020*d - 2800 = 0.
-5, 28
Determine z, given that -198*z**4/5 + 162*z**3/5 + 58*z**2/5 - 18*z/5 - 4/5 = 0.
-1/3, -2/11, 1/3, 1
Determine z, given that -3*z**2 + 102*z - 840 = 0.
14, 20
Factor -3*n**4 - 15*n**3 + 24*n**2 + 36*n.
-3*n*(n - 2)*(n + 1)*(n + 6)
Factor 4*q**4 + 92*q**3 + 248*q**2 + 160*q.
4*q*(q + 1)*(q + 2)*(q + 20)
Suppose -4*w**4 - 68*w**3 - 368*w**2 - 784*w - 576 = 0. Calculate w.
-9, -4, -2
Let -15*j**2 + 2*j = 0. Calculate j.
0, 2/15
Suppose q**3/7 - 246*q**2/7 + 20172*q/7 - 551368/7 = 0. What is q?
82
Determine o so that -o**2 - 2*o - 1 = 0.
-1
Factor -2*t**3/13 - 84*t**2 + 6606*t/13 - 9936/13.
-2*(t - 3)**2*(t + 552)/13
Factor y**4 - 6*y**3 + 4*y**2 + 6*y - 5.
(y - 5)*(y - 1)**2*(y + 1)
Factor -50*v**3/17 - 6*v**2 - 54*v/17 - 2/17.
-2*(v + 1)**2*(25*v + 1)/17
Factor -4*s**3 + 220*s**2 - 2668*s - 10092.
-4*(s - 29)**2*(s + 3)
Let 18*p**5 - 11730*p**4 + 1909046*p**3 + 644178*p**2 - 1064064*p + 212552 = 0. What is p?
-1, 1/3, 326
Factor 3*k**3 - 210*k**2 - 1824*k - 3744.
3*(k - 78)*(k + 4)**2
Find c such that -3*c**2 - 144*c - 1536 = 0.
-32, -16
Solve 10*l**4 + 14*l**3 - 46*l**2 + 10*l + 12 = 0 for l.
-3, -2/5, 1
Solve -y**2/3 + 79*y/3 = 0.
0, 79
Factor -4*g**2 - 304*g + 624.
-4*(g - 2)*(g + 78)
Factor k**4/4 - 203*k**3/4 - 3*k**2/4 + 607*k/4 + 203/2.
(k - 203)*(k - 2)*(k + 1)**2/4
Let -2*h**4/23 + 14*h**3/23 - 30*h**2/23 + 26*h/23 - 8/23 = 0. Calculate h.
1, 4
Factor 3*u**4 + 121*u**3 - 622*u**2 + 360*u.
u*(u - 4)*(u + 45)*(3*u - 2)
Factor 2*i**3/9 - 158*i**2/9 + 3040*i/9 + 3200/9.
2*(i - 40)**2*(i + 1)/9
Determine u, given that -u**4/3 - u**3/3 + 5*u**2/3 - u = 0.
-3, 0, 1
Determine a, given that 2*a**2/5 + 484*a/5 + 29282/5 = 0.
-121
Factor l**4/5 - 16*l**3/5 + 77*l**2/5 - 98*l/5.
l*(l - 7)**2*(l - 2)/5
Suppose -4*x**3/3 + 16*x**2/3 + 16*x/3 - 64/3 = 0. Calculate x.
-2, 2, 4
Factor 3*v**4 - 87*v**3 - 93*v**2 + 87*v + 90.
3*(v - 30)*(v - 1)*(v + 1)**2
Let -4*j**2 - 92*j - 88 = 0. What is j?
-22, -1
Factor 60*b**3 - 775*b**2 + 655*b + 60.
5*(b - 12)*(b - 1)*(12*b + 1)
Factor -x**2/7 - 9*x/7 + 36/7.
-(x - 3)*(x + 12)/7
Factor -55*d**2 - 325*d - 270.
-5*(d + 1)*(11*d + 54)
Factor 2*n**3/5 - 236*n**2/5 - 2*n/5 + 236/5.
2*(n - 118)*(n - 1)*(n + 1)/5
Determine m so that -12*m**3 - 908*m**2 - 3192*m - 1728 = 0.
-72, -3, -2/3
Factor 5*g**2 - 34535*g.
5*g*(g - 6907)
Factor -2*r**5/11 + 52*r**4/11 - 338*r**3/11.
-2*r**3*(r - 13)**2/11
Determine a so that 5*a**5 - 25*a**4 - 235*a**3 + 525*a**2 - 270*a = 0.
-6, 0, 1, 9
Factor -2*z**2/13 + 376*z/13 - 17672/13.
-2*(z - 94)**2/13
Factor -3*v**3 + 72*v**2 - 69*v.
-3*v*(v - 23)*(v - 1)
Factor 2*j**4 - 28*j**3/3 + 2*j**2 + 24*j.
2*j*(j - 3)**2*(3*j + 4)/3
Factor -5*s**4 - 115*s**3 - 705*s**2 - 1085*s - 490.
-5*(s + 1)**2*(s + 7)*(s + 14)
Solve 60*p**3 - 2584*p**2 - 2468*p + 176 = 0.
-1, 1/15, 44
Solve 2*t**2 - 20*t + 42 = 0.
3, 7
Determine w, given that -2*w**4/3 + 400*w**3 - 90000*w**2 + 9000000*w - 337500000 = 0.
150
Factor k**2/5 - 304*k.
k*(k - 1520)/5
Factor 60*s**5 + 112*s**4 - 16*s**3.
4*s**3*(s + 2)*(15*s - 2)
Factor -2*k**3/5 + 14*k**2/5 + 2*k/5 - 14/5.
-2*(k - 7)*(k - 1)*(k + 1)/5
Find i such that -5*i**2/3 - 2075*i/3 - 690 = 0.
-414, -1
Factor 2*c**2 - 34*c + 60.
2*(c - 15)*(c - 2)
Determine x, given that 10*x**3/17 + 164*x**2/17 - 506*x/17 - 228/17 = 0.
-19, -2/5, 3
Find t such that 3*t**4 + 33*t**3 - 51*t**2 - 189*t - 108 = 0.
-12, -1, 3
Factor h**3/2 - 20*h**2 - h/2 + 20.
(h - 40)*(h - 1)*(h + 1)/2
What is r in -2*r**5/3 + 22*r**4/3 + 14*r**3 - 238*r**2/3 + 272*r/3 - 32 = 0?
-4, 1, 12
Solve -i**4 + 83*i**3 - 76*i**2 - 492*i = 0.
-2, 0, 3, 82
Let -3*a**4 - 2484*a**3 - 771282*a**2 - 106436916*a - 5508110403 = 0. Calculate a.
-207
What is p in 4*p**5 + 52*p**4 + 88*p**3 - 8*p**2 - 92*p - 44 = 0?
-11, -1, 1
Find t such that 16*t**5 + 8*t**4 - 263*t**3 - 127*t**2 + 112*t - 16 = 0.
-4, -1, 1/4, 4
Determine k so that 608*k**5 + 3440*k**4 + 6054*k**3 + 4340*k**2 + 1238*k + 120 = 0.
-60/19, -1, -1/4
Suppose -3*p**5 + 75*p**4 - 249*p**3 - 75*p**2 + 252*p = 0. What is p?
-1, 0, 1, 4, 21
What is z in -6750*z**4 + 16200*z**3 + 15840*z**2 - 65824*z + 42592 = 0?
-2, 22/15
Find g such that -g**2/8 + 5*g - 19/2 