 - 1)
Factor m**2/9 + m/9 - 2/9.
(m - 1)*(m + 2)/9
Factor -m**3/9 + 35*m**2/9 - 352*m/9 + 256/3.
-(m - 16)**2*(m - 3)/9
Suppose 2*t**5/9 - 52*t**4/9 + 88*t**3/9 + 196*t**2/9 - 10*t - 16 = 0. What is t?
-1, 1, 3, 24
Let 3*a**5/7 - 3*a**4 + 39*a**3/7 + 9*a**2/7 - 54*a/7 = 0. What is a?
-1, 0, 2, 3
What is j in -j**4/9 + j**3/9 + 2*j**2/9 = 0?
-1, 0, 2
Find z, given that 2*z**3 - 38*z**2 + 152*z + 192 = 0.
-1, 8, 12
Find l, given that -2*l**4/11 - 12*l**3 + 50*l**2 - 696*l/11 + 280/11 = 0.
-70, 1, 2
Factor -7*o**2 - 124*o + 36.
-(o + 18)*(7*o - 2)
Factor -w**2/4 + 276*w - 1103/4.
-(w - 1103)*(w - 1)/4
Determine s, given that -s**3/4 - 11*s**2/2 + s/4 + 11/2 = 0.
-22, -1, 1
Let v**4/6 - 5*v**3/3 + 4*v**2 + 5*v/3 - 25/6 = 0. Calculate v.
-1, 1, 5
Factor 3*w**3 - 3*w**2 - 30*w - 24.
3*(w - 4)*(w + 1)*(w + 2)
Suppose -3*c**2/8 + 261*c/4 + 4941/8 = 0. What is c?
-9, 183
Solve -3*a**5 + 18*a**4 + 3*a**3 - 18*a**2 = 0 for a.
-1, 0, 1, 6
Factor 2*v**5/7 - 4*v**4/7 + 4*v**2/7 - 2*v/7.
2*v*(v - 1)**3*(v + 1)/7
Factor c**5/9 + c**4/9 - c**3/3 - c**2/9 + 2*c/9.
c*(c - 1)**2*(c + 1)*(c + 2)/9
Suppose 2*s**3 + 48*s**2 + 288*s = 0. What is s?
-12, 0
What is x in -6*x**5 + 34*x**4 + 730*x**3/3 + 562*x**2/3 - 632*x/3 + 40 = 0?
-3, -2, 1/3, 10
Let w**2/3 - 84*w + 5292 = 0. What is w?
126
Find b, given that -4*b**3/5 + 824*b**2/5 - 3248*b/5 + 3232/5 = 0.
2, 202
Suppose 9*d**5/4 + 23*d**4 + 137*d**3/4 - 257*d**2/2 + 51*d + 18 = 0. What is d?
-6, -2/9, 1
Find b such that -2*b**2 + 16*b - 24 = 0.
2, 6
Factor 3*f**4 + 306*f**3 - 309*f**2.
3*f**2*(f - 1)*(f + 103)
Factor -4*n**4 + 28*n**3 - 64*n**2 + 48*n.
-4*n*(n - 3)*(n - 2)**2
Solve -2*h**5/11 + 32*h**4/11 - 80*h**3/11 - 492*h**2/11 + 54*h + 972/11 = 0.
-3, -1, 2, 9
Factor -2*i**4/15 - 28*i**3/15 - 10*i**2/3 - 8*i/5.
-2*i*(i + 1)**2*(i + 12)/15
Suppose 13*f**5 - 12*f**4 - 196*f**3 - 314*f**2 - 153*f - 10 = 0. Calculate f.
-2, -1, -1/13, 5
Factor -9*m**2 + 231*m + 78.
-3*(m - 26)*(3*m + 1)
Find y, given that 2*y**5/7 - 318*y**4/7 + 13110*y**3/7 - 37442*y**2/7 + 36816*y/7 - 12168/7 = 0.
1, 78
Determine t, given that -5*t**4 + 65*t**3 + 345*t**2 - 65*t - 340 = 0.
-4, -1, 1, 17
Let 2*d**2/13 + 160*d/13 + 3200/13 = 0. Calculate d.
-40
Solve 3*r**5/2 - 75*r**4/2 - 936*r**3 - 5508*r**2 - 7128*r + 13608 = 0 for r.
-6, 1, 42
Determine i so that -i**3 - 17*i**2 + 80*i - 84 = 0.
-21, 2
Factor -5*n**3 - 460*n**2 - 3360*n.
-5*n*(n + 8)*(n + 84)
Suppose 2*y**5/15 + 212*y**4/15 - 886*y**3/15 - 128*y**2/3 + 2216*y/15 + 352/3 = 0. Calculate y.
-110, -1, 2, 4
Solve 2*j**5/21 - 2*j**3/7 + 4*j**2/21 = 0 for j.
-2, 0, 1
Factor -4*n**3/3 - 136*n**2/3 - 260*n/3 - 128/3.
-4*(n + 1)**2*(n + 32)/3
Factor -4*u**4 - 88*u**3 - 4*u**2 + 5280*u - 14400.
-4*(u - 4)**2*(u + 15)**2
Let x**5 - 6*x**4 - 49*x**3 - 70*x**2 + 36*x + 88 = 0. What is x?
-2, 1, 11
Find y such that -4*y**5 + 2168*y**4 + 8*y**3 - 4336*y**2 - 4*y + 2168 = 0.
-1, 1, 542
Let 2*c**3/5 + 16*c**2/5 - 118*c/5 + 156/5 = 0. What is c?
-13, 2, 3
Factor 3*c**4 + 45*c**3 + 168*c**2 + 180*c.
3*c*(c + 2)*(c + 3)*(c + 10)
Solve 5*f**5 + 30*f**4 - 25*f**3 - 150*f**2 + 20*f + 120 = 0.
-6, -2, -1, 1, 2
Factor 4*l**4 - 4*l**3 - 36*l**2 - 44*l - 16.
4*(l - 4)*(l + 1)**3
Determine k so that -2*k**5/5 - 2*k**4 - 14*k**3/5 + 2*k**2/5 + 16*k/5 + 8/5 = 0.
-2, -1, 1
Suppose -2*o**4/5 + 34*o**2/5 - 72*o/5 + 8 = 0. What is o?
-5, 1, 2
What is j in 4*j**2 - 280*j + 804 = 0?
3, 67
Factor 2*j**3 + 142*j**2/5 - 8*j/5 - 504/5.
2*(j + 2)*(j + 14)*(5*j - 9)/5
Factor 3*g**2 + 221*g - 74.
(g + 74)*(3*g - 1)
Solve -j**2/11 + 127*j/11 - 840/11 = 0.
7, 120
Let -4*p**3/3 - 3*p**2 - 2*p/3 = 0. Calculate p.
-2, -1/4, 0
What is s in 2*s**5/3 - 2*s**4/3 - 32*s**3/3 + 32*s**2/3 = 0?
-4, 0, 1, 4
Factor 2*b**3/5 - 42*b**2/5 + 78*b/5 - 38/5.
2*(b - 19)*(b - 1)**2/5
Let -c**5 - 44*c**4 - 264*c**3 - 178*c**2 + 265*c + 222 = 0. Calculate c.
-37, -6, -1, 1
Factor 2*v**4/9 - 10*v**3/9 + 4*v**2/9 + 16*v/9.
2*v*(v - 4)*(v - 2)*(v + 1)/9
Factor -2*l**4/17 + 58*l**3/17 - 56*l**2/17.
-2*l**2*(l - 28)*(l - 1)/17
Factor -2*a**2/5 + 2236*a - 3124810.
-2*(a - 2795)**2/5
Factor 4*k**2 - 5020*k.
4*k*(k - 1255)
Factor -5*n**3/2 - 30*n**2 - 55*n/2.
-5*n*(n + 1)*(n + 11)/2
Let -155*k**3/4 - 619*k**2/4 - 154*k + 1 = 0. What is k?
-2, 1/155
Determine w, given that 2*w**4 - 16*w**3 - 370*w**2 - 984*w + 1368 = 0.
-6, 1, 19
What is z in z**4/3 - 25*z**3/3 + 166*z**2/3 - 32*z - 96 = 0?
-1, 2, 12
Determine c, given that 5*c**5 + 10*c**4 - 35*c**3 + 20*c**2 = 0.
-4, 0, 1
Factor 5*h**4/4 + 5*h**3 + 5*h**2/4 - 15*h/2.
5*h*(h - 1)*(h + 2)*(h + 3)/4
Find w such that 1225*w**5/2 + 8435*w**4/2 - 2201*w**3/2 - 8407*w**2/2 + 488*w - 14 = 0.
-7, -1, 2/35, 1
Factor 2*u**3 - 458*u**2 + 26448*u - 25992.
2*(u - 114)**2*(u - 1)
Factor -5*w**5 - 23*w**4 + 10*w**3.
-w**3*(w + 5)*(5*w - 2)
Factor -4*m**2 + 50976*m - 162409536.
-4*(m - 6372)**2
Factor 2*p**2 + 30*p + 52.
2*(p + 2)*(p + 13)
What is u in 2*u**2/5 - 114*u + 1132/5 = 0?
2, 283
What is w in -3*w**4/2 - 213*w**3/2 - 1836*w**2 + 1944*w = 0?
-36, 0, 1
Factor n**2/5 + 436*n - 2181/5.
(n - 1)*(n + 2181)/5
Let -3*p**2 + 57*p + 60 = 0. What is p?
-1, 20
Factor 3*n**2/2 + 1491*n/2 - 747.
3*(n - 1)*(n + 498)/2
Suppose -x**2 + 436*x + 876 = 0. Calculate x.
-2, 438
Determine b so that b**2 - 85*b + 246 = 0.
3, 82
Factor 3*s**2 - 36*s + 33.
3*(s - 11)*(s - 1)
Let 50*d**2/11 - 6*d/11 = 0. Calculate d.
0, 3/25
Solve -10*p**3 + 32*p**2 - 34*p + 12 = 0 for p.
1, 6/5
Find h such that 9*h**5 - 69*h**4 - 195*h**3 - 147*h**2 - 30*h = 0.
-1, -1/3, 0, 10
Determine p so that p**4 - 6*p**3 + 12*p**2 - 10*p + 3 = 0.
1, 3
Determine m, given that 2*m**4 - 132*m**3 + 2640*m**2 - 15196*m + 25230 = 0.
3, 5, 29
Let 3*o**5 - 144*o**4 + 1866*o**3 - 3312*o**2 + 1587*o = 0. Calculate o.
0, 1, 23
Find f, given that -948*f**5 + 687*f**4 + 2151*f**3 + 528*f**2 + 12*f = 0.
-1, -1/4, -2/79, 0, 2
Let 231*j**3 - 1931*j**2/3 - 440*j/3 - 4 = 0. Calculate j.
-2/11, -2/63, 3
Factor 3*k**4/2 + 24*k**3 + 105*k**2/2 - 78*k.
3*k*(k - 1)*(k + 4)*(k + 13)/2
Suppose -2*x**3 - 212*x**2 - 418*x - 208 = 0. What is x?
-104, -1
Let -q**3/3 - 292*q**2/3 - 97*q = 0. What is q?
-291, -1, 0
Factor -605*i**3 + 105655*i**2 + 38480*i + 3500.
-5*(i - 175)*(11*i + 2)**2
Factor 3*h**3 + 354*h**2 + 11424*h + 56448.
3*(h + 6)*(h + 56)**2
Factor 2*v**5 - 10*v**4 - 64*v**3 - 72*v**2.
2*v**2*(v - 9)*(v + 2)**2
Factor -3*l**2 - 222*l.
-3*l*(l + 74)
Solve -d**5/8 + 5*d**4/2 - 27*d**3/4 + 13*d**2/2 - 17*d/8 = 0.
0, 1, 17
Find l such that 2*l**5/17 - 4*l**4 + 866*l**3/17 - 5144*l**2/17 + 14432*l/17 - 15488/17 = 0.
4, 11
Factor 3*a**3/4 - 33*a**2/2 - 141*a/4 - 18.
3*(a - 24)*(a + 1)**2/4
Find c such that 2*c**3/11 - 662*c**2/11 + 5010*c - 4950 = 0.
1, 165
Let -56*v**4 + 660*v**3 + 880*v**2 + 60*v - 104 = 0. Calculate v.
-1, -1/2, 2/7, 13
Factor -2*c**2/5 + 6*c/5 + 8/5.
-2*(c - 4)*(c + 1)/5
Find i such that -2*i**4 + 26*i**3 + 98*i**2 - 26*i - 96 = 0.
-3, -1, 1, 16
What is y in -3*y**2/5 + 726*y + 3633/5 = 0?
-1, 1211
What is k in -3*k**4 + 150*k**3 - 1872*k**2 - 150*k + 1875 = 0?
-1, 1, 25
Factor 5*q**5 + 25*q**4 - 60*q**3 - 220*q**2 + 400*q.
5*q*(q - 2)**2*(q + 4)*(q + 5)
Suppose -2*b**4/7 - 246*b**3/7 + 2*b**2/7 + 246*b/7 = 0. Calculate b.
-123, -1, 0, 1
Find t such that 4*t**2 + 2764*t = 0.
-691, 0
Let -g**4 - 2*g**3 + 3*g**2 + 4*g - 4 = 0. What is g?
-2, 1
Factor n**5/2 - n**4/2 - n**3/2 + n**2/2.
n**2*(n - 1)**2*(n + 1)/2
What is v in 3*v**5/4 - 57*v**4/8 - 15*v**3 + 195*v**2/8 + 48*v + 33/2 = 0?
-2, -1, -1/2, 2, 11
Suppose -6*w**4 - 50*w**3 - 12*w**2 + 32*w = 0. What is w?
-8, -1, 0, 2/3
Factor -j**2/2 - 3893*j - 15155449/2.
-(j + 3893)**2/2
Factor 2*t**2/5 + 16*t/5 - 8.
2*(t - 2)*(t + 10)/5
Solve 2*q**3/3 + 2*q**2/3 - 32*q/3 + 40/3 = 0.
-5, 2
Determine s, given that -7*s**5/3 - 10*s**4 - 12*s**3 - 8*s**2/3 = 0.
-2, -2/7, 0
Factor -3*a**4 + 255*a**3 - 5538*a**2 + 4788*a + 10584.
-3*(a - 42)**2*(a - 2)*(a + 1)
Factor 5*c**2 + 1270*c + 80645.
5*(c + 127)**2
Suppose 23*z**3/3 - 163*z**2/3 + 152*z/3 - 4 = 0. What is z?
2/23, 1, 6
Solve 28*z**5 - 152*z**4 + 128*z**3 + 296*z**2 - 156*z - 144 = 0.
-1, -4/7, 1, 3
What is s in -s**2/6 + 77*s/6 + 13 = 0?
-1, 78
Solve 15*g**3/2 - 57*g**2/2 - 36*g = 0 for g.
-1, 0, 24/5
Suppose -245*q**4 - 1855*q**3 - 5025*q**2 - 5805*q - 2430 = 0. Wh