 that -147*j**4 + 2730*j**3 - 17379*j**2 + 43680*j - 37632 = 0.
16/7, 7
Find m such that m**5/2 - 4*m**4 + 11*m**3/2 + 4*m**2 - 6*m = 0.
-1, 0, 1, 2, 6
Determine b so that 4*b**4/3 - 736*b**3/3 + 33112*b**2/3 + 22816*b + 11532 = 0.
-1, 93
Solve z**2/2 + 123*z + 15129/2 = 0.
-123
What is i in -i**5/8 - 15*i**4/4 - 83*i**3/8 - 27*i**2/4 = 0?
-27, -2, -1, 0
Solve 2*s**4/3 - 70*s**3/3 + 184*s**2/3 + 256*s/3 = 0.
-1, 0, 4, 32
Determine u so that -2*u**4/5 - 14*u**3/5 + 6*u**2/5 + 46*u/5 + 28/5 = 0.
-7, -1, 2
Factor -2*q**3/5 + 24*q**2 - 480*q + 3200.
-2*(q - 20)**3/5
Factor 4*o**5 + 32*o**4 + 100*o**3 + 152*o**2 + 112*o + 32.
4*(o + 1)**2*(o + 2)**3
Determine p, given that p**4/3 + 11*p**3/3 + 8*p**2/3 - 20*p/3 = 0.
-10, -2, 0, 1
Factor -g**2/2 + 1241*g - 1540081/2.
-(g - 1241)**2/2
Factor -5*t**4/3 + 10*t**3 - 65*t**2/3 + 20*t - 20/3.
-5*(t - 2)**2*(t - 1)**2/3
Factor -4*n**4/3 + 412*n**3/3 - 2784*n**2 + 62720*n/3 - 161792/3.
-4*(n - 79)*(n - 8)**3/3
Let -g**2/7 + 6212*g/7 - 9647236/7 = 0. What is g?
3106
Factor 2*m**5 - 2*m**4 - 8*m**3 + 8*m**2.
2*m**2*(m - 2)*(m - 1)*(m + 2)
Determine z so that 2*z**3/5 - 2*z**2 - 16*z/5 + 96/5 = 0.
-3, 4
Factor -3*p**4/4 + 39*p**3/2 - 69*p**2 + 66*p.
-3*p*(p - 22)*(p - 2)**2/4
Factor -2*y**2/5 - 116*y/5 - 224/5.
-2*(y + 2)*(y + 56)/5
Factor -d**4/2 - d**3/2 + 14*d**2 + 8*d - 96.
-(d - 4)*(d - 3)*(d + 4)**2/2
Factor -3*w**2 - 129*w + 132.
-3*(w - 1)*(w + 44)
Factor 2*t**2/5 + 40*t - 1498/5.
2*(t - 7)*(t + 107)/5
Factor -2*d**2/5 - 26*d + 132/5.
-2*(d - 1)*(d + 66)/5
Solve 5*v**4/2 + 27*v**3/2 + 5*v**2/2 - 27*v/2 - 5 = 0.
-5, -1, -2/5, 1
What is z in -12*z**4 - 33*z**3 + 21*z**2 + 33*z - 9 = 0?
-3, -1, 1/4, 1
Factor 2*s**2/3 - 694*s/3.
2*s*(s - 347)/3
Solve -18*a**4 - 50*a**3 - 24*a**2 + 8*a = 0 for a.
-2, -1, 0, 2/9
Factor 2*b**2 + 3688*b + 3686.
2*(b + 1)*(b + 1843)
Factor 2*d**4/7 + 6*d**3 - 90*d**2/7 + 46*d/7.
2*d*(d - 1)**2*(d + 23)/7
Let 20*t**5 - 72*t**4 + 8*t**3 + 96*t**2 - 28*t - 24 = 0. Calculate t.
-1, -2/5, 1, 3
Factor -a**3/2 + 25*a**2/4 + 4*a - 39/4.
-(a - 13)*(a - 1)*(2*a + 3)/4
Suppose -21*c**5 - 33*c**4 + 186*c**3 + 306*c**2 + 27*c - 81 = 0. What is c?
-3, -1, 3/7, 3
Determine s, given that 3*s**5/2 - 57*s**4/2 + 45*s**3/2 + 177*s**2/2 - 138*s + 54 = 0.
-2, 1, 18
Solve -b**4 - 25*b**3 + 26*b**2 = 0.
-26, 0, 1
Determine x so that -5*x**4/6 - 30*x**3 - 1090*x**2/3 - 1680*x - 7840/3 = 0.
-14, -4
Factor -2*o**4/11 + 180*o**3/11 + 182*o**2/11.
-2*o**2*(o - 91)*(o + 1)/11
Factor 84*s**3 - 2428*s**2 + 4304*s + 432.
4*(s - 27)*(s - 2)*(21*s + 2)
Let -2*p**2 - 72*p - 70 = 0. What is p?
-35, -1
Factor -5*a**4 + 60*a**3 - 250*a**2 + 420*a - 225.
-5*(a - 5)*(a - 3)**2*(a - 1)
Let -2*j**5/7 - 75*j**4/7 - 97*j**3/7 + 402*j**2/7 + 216*j/7 = 0. Calculate j.
-36, -3, -1/2, 0, 2
Factor m**2/6 + 48*m + 3456.
(m + 144)**2/6
Determine c so that -50*c**4 + 8140*c**3 - 438984*c**2 + 38456964*c/5 + 40692834/5 = 0.
-1, 273/5
Suppose 2*u**4 + 32*u**3 + 186*u**2 + 468*u + 432 = 0. What is u?
-6, -4, -3
Factor 2*d**2/7 + 40*d/7 - 192/7.
2*(d - 4)*(d + 24)/7
Determine d, given that -3*d**5 - 42*d**4 - 90*d**3 + 420*d**2 + 93*d - 378 = 0.
-9, -7, -1, 1, 2
Find j such that 15*j**4/2 + 3*j**3 - 9*j**2/2 = 0.
-1, 0, 3/5
Suppose 2*m**4 + 32*m**3 - 6*m**2 - 100*m - 64 = 0. Calculate m.
-16, -1, 2
Find m, given that -2*m**5/3 + 58*m**4/3 - 328*m**3/3 + 440*m**2/3 = 0.
0, 2, 5, 22
Determine f, given that -2*f**3/13 - 12*f**2/13 + 30*f/13 - 16/13 = 0.
-8, 1
Solve -2*p**3/3 + 8*p + 32/3 = 0 for p.
-2, 4
Find j such that -2*j**2/11 - 48*j/11 - 288/11 = 0.
-12
Determine g, given that -3*g**5 - 9*g**4 + 33*g**3 + 9*g**2 - 30*g = 0.
-5, -1, 0, 1, 2
Suppose -4*p**2 + 9280*p - 5382400 = 0. What is p?
1160
Factor 2*w**3/7 - 16*w**2 + 1450*w/7 + 3364/7.
2*(w - 29)**2*(w + 2)/7
Factor 13*n**5 - 145*n**4 + 373*n**3 - 379*n**2 + 154*n - 16.
(n - 8)*(n - 1)**3*(13*n - 2)
Factor u**2/3 - 580*u/3 + 84100/3.
(u - 290)**2/3
Factor -3*b**4 - 3942*b**3 - 1290999*b**2 + 2593836*b - 1298892.
-3*(b - 1)**2*(b + 658)**2
Determine i, given that i**2/7 + 8*i/7 - 513/7 = 0.
-27, 19
Factor -3*k**3 + 945*k**2 + 3*k - 945.
-3*(k - 315)*(k - 1)*(k + 1)
Determine a, given that 3*a**3/5 + 9*a**2/5 - 12*a/5 - 36/5 = 0.
-3, -2, 2
What is s in -9*s**3/5 + 1092*s**2/5 + 1851*s/5 - 738/5 = 0?
-2, 1/3, 123
Suppose -5*w**2/4 - 45*w - 1015/4 = 0. Calculate w.
-29, -7
Factor -5*g**2 + 610*g + 615.
-5*(g - 123)*(g + 1)
Solve 3*a**3 - 54*a**2 + 195*a = 0.
0, 5, 13
Factor h**5/8 - h**4/4 - 6*h**3 - 63*h**2/4 - 81*h/8.
h*(h - 9)*(h + 1)*(h + 3)**2/8
Let -g**4/11 + 9*g**3/11 - 7*g**2/11 - 9*g/11 + 8/11 = 0. Calculate g.
-1, 1, 8
Let 2*y**3 + 2778*y**2 + 966048*y + 963272 = 0. What is y?
-694, -1
Factor -m**2/2 + 99*m - 197/2.
-(m - 197)*(m - 1)/2
Determine m so that m**4 - 76*m**3/3 - 176*m**2 - 368*m - 752/3 = 0.
-2, 94/3
Let -5*g**3 + 1140*g**2 - 1125*g - 2270 = 0. Calculate g.
-1, 2, 227
Factor -5*a**3 - 195*a**2 - 1035*a - 1485.
-5*(a + 3)**2*(a + 33)
Factor -2*k**3/5 + 372*k**2/5 - 23064*k/5 + 476656/5.
-2*(k - 62)**3/5
Find f such that 3*f**5/2 - 12*f**4 - 15*f**3 + 12*f**2 + 27*f/2 = 0.
-1, 0, 1, 9
Determine l, given that -3*l**3/4 + 951*l**2/4 - 18960*l + 18723 = 0.
1, 158
Factor -24*j**3 - 200*j**2 - 194*j/3 - 16/3.
-2*(j + 8)*(6*j + 1)**2/3
Factor -6*z**2/5 - 3252*z/5 - 9702/5.
-6*(z + 3)*(z + 539)/5
What is o in 2*o**2 - 75*o + 37 = 0?
1/2, 37
Factor 15*s**4 + 249*s**3 - 372*s**2 + 108*s.
3*s*(s - 1)*(s + 18)*(5*s - 2)
What is x in 1936*x**3/7 + 20504*x**2/7 - 1233*x + 891/7 = 0?
-11, 9/44
Find m such that 4*m**4 - 12*m**3 - 36*m**2 - 20*m = 0.
-1, 0, 5
Factor -r**3/3 - 10*r**2/3 + r/3 + 10/3.
-(r - 1)*(r + 1)*(r + 10)/3
Factor 4*k**5 + 28*k**4 + 68*k**3 + 68*k**2 + 24*k.
4*k*(k + 1)**2*(k + 2)*(k + 3)
Factor -4*u**3 + 180*u**2 - 2024*u + 3360.
-4*(u - 28)*(u - 15)*(u - 2)
Factor 15*m**3/2 + 5*m**2/3 - 15*m/2 - 5/3.
5*(m - 1)*(m + 1)*(9*m + 2)/6
Suppose i**4/4 + i**3/4 - 3*i**2/4 - 5*i/4 - 1/2 = 0. Calculate i.
-1, 2
Factor 4*q**2 - 176*q - 980.
4*(q - 49)*(q + 5)
Factor -2*u**4 + 268*u**3 - 11880*u**2 + 170100*u + 182250.
-2*(u - 45)**3*(u + 1)
Let -5*x**3/4 - 135*x**2/4 - 125*x/2 = 0. Calculate x.
-25, -2, 0
Factor 1156*a**2/5 + 204*a/5 + 9/5.
(34*a + 3)**2/5
Let 5*r**5 + 15*r**4 - 10*r**3 - 30*r**2 + 5*r + 15 = 0. Calculate r.
-3, -1, 1
Factor -3*l**3 - 6*l**2 + 3*l + 6.
-3*(l - 1)*(l + 1)*(l + 2)
Solve 4*q**5/5 + 1021*q**4/5 + 66791*q**3/5 + 209162*q**2/5 + 35028*q + 31752/5 = 0.
-126, -2, -1, -1/4
Factor -d**2/2 + 229*d/2 + 231.
-(d - 231)*(d + 2)/2
Factor 3*z**2 - 442*z - 296.
(z - 148)*(3*z + 2)
Factor 2*j**3/9 + 10*j**2/3 + 46*j/9 - 26/3.
2*(j - 1)*(j + 3)*(j + 13)/9
What is b in 2*b**2/3 + 188*b/3 - 190/3 = 0?
-95, 1
Determine v, given that -2*v**4/5 - 28*v**3/5 - 10*v**2 - 24*v/5 = 0.
-12, -1, 0
Factor -3*q**3 - 54*q**2 - 99*q - 48.
-3*(q + 1)**2*(q + 16)
Factor 3*n**5/8 + 30*n**4 - 747*n**3/8.
3*n**3*(n - 3)*(n + 83)/8
Find w, given that 2*w**4/5 - 18*w**3/5 + 28*w**2/5 = 0.
0, 2, 7
Solve 5*i**4 - 350*i**3 + 6740*i**2 - 20130*i - 27225 = 0 for i.
-1, 5, 33
Suppose 3*x**3 - 948*x**2 - 951*x = 0. What is x?
-1, 0, 317
Let -45*j**5/2 - 109*j**4/2 - 20*j**3 - 2*j**2 = 0. Calculate j.
-2, -2/9, -1/5, 0
Factor 4*h**3/9 - 29*h**2/9 - 284*h/9 - 65/3.
(h - 13)*(h + 5)*(4*h + 3)/9
Suppose 2*n**4 - 848*n**3 + 91560*n**2 - 352800*n = 0. What is n?
0, 4, 210
Solve n**2 + 3*n - 4 = 0.
-4, 1
What is h in -2*h**2 + 848*h - 89888 = 0?
212
Factor -a**3 + 6*a**2 - 5*a.
-a*(a - 5)*(a - 1)
Factor 3*m**3 - 78*m**2 + 675*m - 1944.
3*(m - 9)**2*(m - 8)
Find b, given that -49*b**5/4 + 441*b**4/2 + 53*b**3/4 - 477*b**2/2 - b + 18 = 0.
-1, -2/7, 2/7, 1, 18
Determine v, given that v**3/3 - 170*v**2 + 28900*v - 4913000/3 = 0.
170
Solve 5*r**4 + 240*r**3 - 270*r**2 - 1240*r - 735 = 0 for r.
-49, -1, 3
What is y in -5*y**2 - 11555*y + 11560 = 0?
-2312, 1
Suppose -3*m**5 - 186*m**4 - 693*m**3 + 186*m**2 + 696*m = 0. Calculate m.
-58, -4, -1, 0, 1
Factor -4*r**2/9 + 64/9.
-4*(r - 4)*(r + 4)/9
Factor 4*g**3/5 + 2944*g**2/5 + 5876*g/5 + 2936/5.
4*(g + 1)**2*(g + 734)/5
Let -15*r**3 - 11634*r**2 - 2253504*r + 903264 = 0. Calculate r.
-388, 2/5
Let d**4 + 2*d**3 - 3*d**2 = 0. Calculate d.
-3, 0, 1
Suppose 2*l**4/9 + 2*l**3/9 - 8*l**2 - 8*l = 0. Calculate l.
-6, -1, 0, 6
Solve 24964*o**3 +