uch that -2*p**4/11 + 4*p**3/11 + 2*p**2/11 - 4*p/11 = 0.
-1, 0, 1, 2
Factor -64*a**5/7 + 544*a**4/7 - 1476*a**3/7 + 1296*a**2/7.
-4*a**2*(a - 4)*(4*a - 9)**2/7
Find r such that -5*r**2/2 - 430*r - 855/2 = 0.
-171, -1
Let 2*l**5/5 + 4*l**4/5 - 18*l**3/5 - 4*l**2/5 + 16*l/5 = 0. Calculate l.
-4, -1, 0, 1, 2
Suppose -72*a**2/5 + 69*a/5 - 3 = 0. Calculate a.
1/3, 5/8
Factor o**3/4 + 147*o**2/4 + 1332*o - 1369.
(o - 1)*(o + 74)**2/4
Factor 3*l**2 + 582*l + 3384.
3*(l + 6)*(l + 188)
Factor -21*n**3 + 187*n**2 - 488*n + 304.
-(n - 4)**2*(21*n - 19)
Factor 2*p**3 + 152*p**2 + 3400*p + 18496.
2*(p + 8)*(p + 34)**2
Suppose -3*z**4/7 - 33*z**3 - 1305*z**2/7 - 1917*z/7 = 0. Calculate z.
-71, -3, 0
Factor -k**2 - 7*k + 44.
-(k - 4)*(k + 11)
Find a, given that -4*a**3 - 36*a**2 - 32*a = 0.
-8, -1, 0
Factor -3*r**4 - 73*r**3 - 88*r**2 + 92*r.
-r*(r + 2)*(r + 23)*(3*r - 2)
Solve 7*a**4/2 + 6*a**3 - 25*a**2/2 + 3*a = 0.
-3, 0, 2/7, 1
Find g such that 2*g**4/13 - 10*g**3/13 + 14*g**2/13 - 6*g/13 = 0.
0, 1, 3
Find m, given that 3*m**2 + 1815*m - 1818 = 0.
-606, 1
Factor 4*k**5 + 224*k**4 + 2904*k**3 - 6496*k**2 + 3364*k.
4*k*(k - 1)**2*(k + 29)**2
Find v, given that 28*v**2/5 + 5256*v/5 - 1504/5 = 0.
-188, 2/7
Determine a, given that 2*a**2/15 + 64*a/15 + 512/15 = 0.
-16
What is j in j**5/3 - 2*j**4/3 - 25*j**3/3 + 2*j**2/3 + 8*j = 0?
-4, -1, 0, 1, 6
Factor -9*f**2/2 + 4173*f/2 + 696.
-3*(f - 464)*(3*f + 1)/2
Solve -2*c**2 + 6*c + 36 = 0.
-3, 6
Factor -n**2 + 202*n - 10201.
-(n - 101)**2
Factor 2*y**2/11 - 266*y/11 + 24.
2*(y - 132)*(y - 1)/11
Factor 5*t**5 - 5*t**4 - 10*t**3 + 10*t**2 + 5*t - 5.
5*(t - 1)**3*(t + 1)**2
Factor -2*w**4/7 + 1286*w**3/7 - 29440*w**2 - 29624*w.
-2*w*(w - 322)**2*(w + 1)/7
Find f, given that 14*f**5 - 710*f**4 + 3058*f**3 - 874*f**2 - 6312*f - 1656 = 0.
-1, -2/7, 3, 46
Find v, given that -v**2/3 - 41*v + 250/3 = 0.
-125, 2
Factor f**2/9 - 62*f/9 - 128/9.
(f - 64)*(f + 2)/9
Solve -a**3 - 29*a**2 + 94*a - 64 = 0 for a.
-32, 1, 2
Solve -3*y**5/7 + 48*y**4/7 - 156*y**3/7 + 144*y**2/7 = 0.
0, 2, 12
Factor 2*i**4 + 14*i**3 + 36*i**2 + 40*i + 16.
2*(i + 1)*(i + 2)**3
Factor o**2 - 17*o + 16.
(o - 16)*(o - 1)
What is o in o**5/2 + 4*o**4 + 3*o**3/2 - 16*o**2 - 14*o = 0?
-7, -2, -1, 0, 2
Factor -n**2/4 - 49*n/4 - 279/2.
-(n + 18)*(n + 31)/4
Factor -7*i**4/2 + 29*i**3/2 - 25*i**2/2 + 3*i/2.
-i*(i - 3)*(i - 1)*(7*i - 1)/2
Factor -2*z**2/7 - 21212*z/7 - 56243618/7.
-2*(z + 5303)**2/7
Find y, given that -5*y**4 + 2430*y**3 - 7260*y**2 + 7250*y - 2415 = 0.
1, 483
What is t in -t**5/11 + 76*t**4/11 - 141*t**3/11 - 526*t**2/11 + 580*t/11 + 888/11 = 0?
-2, -1, 2, 3, 74
Factor 2*l**3/11 - 8*l**2/11 - 14*l/11 + 20/11.
2*(l - 5)*(l - 1)*(l + 2)/11
Suppose p**2 + 17*p + 30 = 0. What is p?
-15, -2
Factor y**4/4 - 94*y**3 + 9204*y**2 - 69184*y + 135424.
(y - 184)**2*(y - 4)**2/4
Determine h, given that 3*h**2 - 30996*h + 80062668 = 0.
5166
Factor 2*x**4 + 10*x**3 + 6*x**2 - 10*x - 8.
2*(x - 1)*(x + 1)**2*(x + 4)
Factor -2*q**3/11 - 34*q**2/11 - 128*q/11 - 96/11.
-2*(q + 1)*(q + 4)*(q + 12)/11
Factor -189*y**4 - 384*y**3 - 201*y**2 - 6*y.
-3*y*(y + 1)**2*(63*y + 2)
Factor -4*w**3 + 96*w**2 - 180*w + 88.
-4*(w - 22)*(w - 1)**2
Factor -5*h**4 + 1515*h**3 - 2995*h**2 - 4515*h.
-5*h*(h - 301)*(h - 3)*(h + 1)
Let -2*l**5/3 + 86*l**4/3 + 278*l**3/3 - 86*l**2/3 - 92*l = 0. What is l?
-3, -1, 0, 1, 46
Factor -3*i**3 + 36*i**2 - 87*i + 54.
-3*(i - 9)*(i - 2)*(i - 1)
Find o, given that o**5 + o**4 - 13*o**3 - o**2 + 12*o = 0.
-4, -1, 0, 1, 3
Factor -c**3 - 12*c**2 + 76*c + 192.
-(c - 6)*(c + 2)*(c + 16)
Suppose 2*d**4/3 - 14*d**3/9 - 2*d**2 + 14*d/9 + 4/3 = 0. Calculate d.
-1, -2/3, 1, 3
Factor g**2 + 7294*g + 13300609.
(g + 3647)**2
What is w in -16*w**4/13 - 198*w**3/13 - 648*w**2/13 - 216*w/13 = 0?
-6, -3/8, 0
What is l in -3*l**3 - 612*l**2 - 31212*l = 0?
-102, 0
Factor 6*y**3/5 - 33*y**2/5 - 21*y/5 + 18/5.
3*(y - 6)*(y + 1)*(2*y - 1)/5
Let -3*h**3/7 - 9*h**2/7 - 6*h/7 = 0. What is h?
-2, -1, 0
What is o in 2*o**3 - 382*o**2 + 18048*o + 18432 = 0?
-1, 96
Factor 3*k**3/4 + 159*k**2/4 + 153*k/2.
3*k*(k + 2)*(k + 51)/4
Solve -2*w**2/7 + 6*w = 0 for w.
0, 21
Factor d**2 - 59*d + 490.
(d - 49)*(d - 10)
Suppose 2*b**4/13 - 4*b**3/13 - 48*b**2/13 = 0. What is b?
-4, 0, 6
Factor -4*k**2 + 96*k - 176.
-4*(k - 22)*(k - 2)
Solve -3*h**5 + 1767*h**4 + 7098*h**3 + 10662*h**2 + 7113*h + 1779 = 0.
-1, 593
Factor -2*b**2 + 22*b - 48.
-2*(b - 8)*(b - 3)
Solve 2*f**4/3 - 20*f**3/3 + 64*f**2/3 - 64*f/3 = 0 for f.
0, 2, 4
Factor 2*w**2 - 312*w + 12168.
2*(w - 78)**2
Find l, given that -l**5/6 - l**4 - 11*l**3/6 - l**2 = 0.
-3, -2, -1, 0
Factor 2*o**2 + 32*o - 322.
2*(o - 7)*(o + 23)
Factor 4*t**4 + 120*t**3 + 1008*t**2 + 1568*t.
4*t*(t + 2)*(t + 14)**2
What is y in 5*y**2 + 9870*y + 9865 = 0?
-1973, -1
Determine q, given that q**2/2 + 85*q + 169/2 = 0.
-169, -1
Find j such that -j**2/6 - 545*j/3 + 1091/6 = 0.
-1091, 1
Solve -3*c**5 - 513*c**4 - 29241*c**3 - 555579*c**2 = 0 for c.
-57, 0
Solve -2*d**5/3 - 2*d**4/3 + 59*d**3/6 + 7*d**2/3 - 145*d/6 - 50/3 = 0 for d.
-4, -1, 5/2
Let 3*d**4/2 - 9*d**2 + 12*d - 9/2 = 0. What is d?
-3, 1
Factor -r**2/3 + 25*r/3.
-r*(r - 25)/3
Factor -2*m**3/7 + 10*m**2 - 646*m/7 + 578/7.
-2*(m - 17)**2*(m - 1)/7
Factor 4*m**3 + 16*m**2 + 12*m.
4*m*(m + 1)*(m + 3)
Factor n**2 + 33*n - 378.
(n - 9)*(n + 42)
Suppose c**5/3 - 49*c**4/3 + 623*c**3/3 - 527*c**2/3 - 208*c + 192 = 0. Calculate c.
-1, 1, 24
What is o in -4*o**3 - 20*o**2 - 12*o + 36 = 0?
-3, 1
Factor -2*p**5/9 + 82*p**4/9 - 880*p**3/9 + 800*p**2/9.
-2*p**2*(p - 20)**2*(p - 1)/9
Let g**5/2 + 39*g**4 + 833*g**3 + 2772*g**2 + 925*g/2 - 4107 = 0. Calculate g.
-37, -3, -2, 1
Find l such that 2*l**5 + 56*l**4 + 356*l**3 + 720*l**2 - 54*l - 1080 = 0.
-20, -3, 1
Factor -5*q**2 - 185*q + 390.
-5*(q - 2)*(q + 39)
Let 22*a**5/5 - 404*a**4 + 8392*a**3 + 40400*a**2 + 47616*a + 36864/5 = 0. Calculate a.
-2, -2/11, 48
Factor 2*j**4/7 + 4*j**3/7 - 40*j**2/7 + 48*j/7.
2*j*(j - 2)**2*(j + 6)/7
Determine l, given that -3*l**4 + 32*l**3 + 13*l**2 - 22*l = 0.
-1, 0, 2/3, 11
Let 5*s**2/3 - 665*s/3 - 2740/3 = 0. What is s?
-4, 137
Solve 15*o**4 + 141*o**3 - 261*o**2 + 39*o + 66 = 0.
-11, -2/5, 1
Find d such that d**2/2 + 77*d/2 - 205 = 0.
-82, 5
Factor 5*b**2/3 + 440*b/3 + 9680/3.
5*(b + 44)**2/3
Solve -2*y**2/9 + 2732*y/3 + 8198/9 = 0 for y.
-1, 4099
What is z in 3*z**4 - 30*z**3 - 336*z**2 + 768*z = 0?
-8, 0, 2, 16
Solve -f**4/6 + 31*f**3/2 - 221*f**2/3 + 28*f + 352/3 = 0 for f.
-1, 2, 4, 88
Determine g so that 5*g**2 - 1380*g + 4095 = 0.
3, 273
Factor 5*b**2 + 780*b + 30420.
5*(b + 78)**2
Determine j, given that -j**3 - 10*j**2 - 17*j - 8 = 0.
-8, -1
Factor 4*j**3/3 - 16*j**2/3 - 4*j/3 + 16/3.
4*(j - 4)*(j - 1)*(j + 1)/3
Factor f**4 + 35*f**3 - 433*f**2 + 757*f - 360.
(f - 8)*(f - 1)**2*(f + 45)
Factor j**2/4 + 33*j/4 + 63.
(j + 12)*(j + 21)/4
Factor -5*b**3 - 770*b**2 - 1525*b - 760.
-5*(b + 1)**2*(b + 152)
Factor -2*j**5/17 + 8*j**4/17 - 12*j**3/17 + 8*j**2/17 - 2*j/17.
-2*j*(j - 1)**4/17
Solve 12*v**5 + 45*v**4 - 36*v**3 - 111*v**2 + 90*v = 0.
-15/4, -2, 0, 1
Find i such that -2*i**2/13 + 220*i/13 = 0.
0, 110
Suppose l**2/4 + 7*l/2 - 15/4 = 0. What is l?
-15, 1
Solve 4*k**2 - 1168*k + 7980 = 0 for k.
7, 285
Suppose -j**3/4 - 78*j**2 - 621*j/4 - 155/2 = 0. What is j?
-310, -1
Factor 3*m**4/8 + 3*m**3/2 + 15*m**2/8 + 3*m/4.
3*m*(m + 1)**2*(m + 2)/8
Let -256*d**3 + 7232*d**2 - 1796*d + 112 = 0. What is d?
1/8, 28
Factor 2*r**2/7 - 3446*r/7 - 3448/7.
2*(r - 1724)*(r + 1)/7
Determine i, given that 4*i**3/5 - 16*i/5 = 0.
-2, 0, 2
Suppose -4*j**3 + 728*j**2 - 2148*j = 0. What is j?
0, 3, 179
Determine g, given that -5*g**4 - 70*g**3 - 165*g**2 + 560*g - 320 = 0.
-8, 1
Find i such that -2*i**5 - 214*i**4 - 212*i**3 = 0.
-106, -1, 0
Let 5*i**4 + 105*i**3 + 355*i**2 + 255*i = 0. Calculate i.
-17, -3, -1, 0
Solve f**4 + 16*f**3/3 - 76*f**2 + 48*f = 0.
-12, 0, 2/3, 6
Factor 9*l**3 - 60*l**2 - 108*l + 96.
3*(l - 8)*(l + 2)*(3*l - 2)
Factor -9*r**5 + 7*r**4 + 2*r**3.
-r**3*(r - 1)*(9*r + 2)
Factor -5*r**2 + 160*r + 525.
-5*(r - 35)*(r + 3)
Factor 3*m**2 + 33*m.
3*m*(m + 11)
Determine h, given that -h**4/4 - 9*h**3/4 + 3*h**2/4 + 29*h/4 + 9/2 = 0.
-9, -1, 2
Factor -2*r**2/3 - 38*r/3 - 32.
-2*(r + 3)*(r + 16)/3
Factor -v**2 