 that -2*i**5 - 32*i**4 - 138*i**3 - 188*i**2 - 80*i = 0.
-10, -4, -1, 0
Suppose -4*d**5 + 2*d**4 + 24*d**3 + 20*d**2 - 4*d - 6 = 0. Calculate d.
-1, 1/2, 3
Solve r**2 - 127*r = 0.
0, 127
Solve 2*z**3 - 6*z + 4 = 0 for z.
-2, 1
Factor 3*r**2/7 + 405*r/7 + 402/7.
3*(r + 1)*(r + 134)/7
Solve -2*g**3/3 - 2*g**2/3 + 20*g = 0.
-6, 0, 5
Find s such that 3*s**4/5 + 18*s**3/5 + 33*s**2/5 + 18*s/5 = 0.
-3, -2, -1, 0
Factor -w**3/4 - 25*w**2/4 - 187*w/4 - 363/4.
-(w + 3)*(w + 11)**2/4
Determine r so that -8*r**5 - 260*r**4 - 1592*r**3 + 996*r**2 + 864*r = 0.
-24, -9, -1/2, 0, 1
Find n, given that 4*n**4 + 18*n**3 - 68*n**2 - 72*n + 208 = 0.
-13/2, -2, 2
Factor 4*f**4/3 - 8*f**3 - 80*f**2 - 544*f/3 - 128.
4*(f - 12)*(f + 2)**3/3
Factor -3*u**2 - 7251*u - 7248.
-3*(u + 1)*(u + 2416)
Find p, given that -p**4 + 4*p**3 - 2*p**2 - 4*p + 3 = 0.
-1, 1, 3
Solve -86*g**4/19 + 176*g**3/19 - 94*g**2/19 + 4*g/19 = 0 for g.
0, 2/43, 1
Solve 35*v**4/4 - 1725*v**3/4 - 1225*v**2 - 525*v + 260 = 0.
-2, -1, 2/7, 52
Factor -5*l**3 - 5*l**2 + 3225*l + 32625.
-5*(l - 29)*(l + 15)**2
Factor 3*w**3/8 - 9*w**2/4 - 21*w/8.
3*w*(w - 7)*(w + 1)/8
Suppose -5*t**4 - 30*t**3 + 2035*t**2 + 6240*t - 216320 = 0. What is t?
-16, 13
Determine d so that -4*d**5 - 8*d**4 + 16*d**3 + 8*d**2 - 12*d = 0.
-3, -1, 0, 1
Solve 2*h**2/3 + 46*h/3 + 40 = 0 for h.
-20, -3
Determine w, given that 2*w**2 - 50 = 0.
-5, 5
Factor 180*z**4 + 25*z**3 - 5*z**2.
5*z**2*(4*z + 1)*(9*z - 1)
Solve 5*c**2 + 800*c + 32000 = 0.
-80
Factor q**4/5 + 14*q**3/5 + 57*q**2/5 + 36*q/5 - 108/5.
(q - 1)*(q + 3)*(q + 6)**2/5
Solve 3*k**5 + 96*k**4 + 111*k**3 - 2142*k**2 - 1728*k + 12960 = 0.
-30, -4, 3
Factor 3*o**4 + 48*o**3 - 129*o**2 - 390*o - 216.
3*(o - 4)*(o + 1)**2*(o + 18)
Solve -4*u**5/3 - 6*u**4 + 16*u**3/3 + 28*u**2/3 - 4*u - 10/3 = 0 for u.
-5, -1, -1/2, 1
Determine t, given that -t**2/5 - 1727*t/5 = 0.
-1727, 0
Factor 3*m**4 - 165*m**3 + 1287*m**2 - 1995*m - 3450.
3*(m - 46)*(m - 5)**2*(m + 1)
Find s such that 2*s**2 - 10*s + 12 = 0.
2, 3
Suppose 6*g**3/5 + 286*g**2/5 + 196*g + 528/5 = 0. Calculate g.
-44, -3, -2/3
Factor -n**3 + 15*n**2 - 14*n.
-n*(n - 14)*(n - 1)
Let -7*t**4 + 96*t**3 + 35*t**2 - 96*t - 28 = 0. What is t?
-1, -2/7, 1, 14
Factor -3*c**2 - 24*c + 99.
-3*(c - 3)*(c + 11)
What is a in 485*a**2 + 2900*a - 60 = 0?
-6, 2/97
Suppose -2*y**4/5 + 6*y**3 + 6*y**2/5 - 86*y/5 - 12 = 0. Calculate y.
-1, 2, 15
Suppose -3*t**3/2 + 9*t**2 - 15*t/2 = 0. What is t?
0, 1, 5
What is v in 2*v**4/7 + 38*v**3/7 + 194*v**2/7 + 90*v/7 - 324/7 = 0?
-9, -2, 1
Let 33*n**5 + 1044*n**4 + 11496*n**3 + 48480*n**2 + 46800*n - 24000 = 0. What is n?
-10, -2, 4/11
Suppose -4*y**3 + 136*y**2 - 496*y + 480 = 0. Calculate y.
2, 30
Determine f, given that -f**2/8 - 5*f/8 = 0.
-5, 0
What is p in 5*p**5 + 46*p**4 - 66*p**3 - 820*p**2 + 1309*p + 294 = 0?
-7, -1/5, 2, 3
Factor -2*f**4/9 + 8*f**3/9 + 2*f**2/9 - 8*f/9.
-2*f*(f - 4)*(f - 1)*(f + 1)/9
Factor 19*g**2 + 17*g - 2.
(g + 1)*(19*g - 2)
Factor -2*k**2/17 + 72*k/17 - 520/17.
-2*(k - 26)*(k - 10)/17
What is a in -14*a**5 - 74*a**4 - 132*a**3 - 88*a**2 - 16*a = 0?
-2, -1, -2/7, 0
Factor -4*x**2 + 284*x - 280.
-4*(x - 70)*(x - 1)
Factor 45*t**4 + 680*t**3 + 75*t**2.
5*t**2*(t + 15)*(9*t + 1)
Suppose 20*m**4 - 176*m**3 + 364*m**2 + 80*m = 0. Calculate m.
-1/5, 0, 4, 5
Find o, given that 3*o**5/2 + 21*o**4/2 - 39*o**3/2 - 129*o**2/2 - 36*o = 0.
-8, -1, 0, 3
Factor -3*u**4 - 84*u**3 + 279*u**2 - 12*u - 372.
-3*(u - 2)**2*(u + 1)*(u + 31)
Solve -3*i**5/4 + 6*i**4 - 63*i**3/4 + 27*i**2/2 = 0 for i.
0, 2, 3
Solve 4*f**4 - 280*f**3 + 1584*f**2 - 3104*f + 2048 = 0 for f.
2, 64
Find n, given that -4*n**2 - 48*n - 144 = 0.
-6
Determine z so that -z**3/5 + z**2/5 + z + 3/5 = 0.
-1, 3
Factor -r**3/4 + 8*r**2.
-r**2*(r - 32)/4
Suppose -u**5/4 - 15*u**4/4 - 31*u**3/2 - 17*u**2/2 + 63*u/4 + 49/4 = 0. Calculate u.
-7, -1, 1
Factor -h**2 + 59*h + 122.
-(h - 61)*(h + 2)
Factor -l**3/7 - 13*l**2/7 + 2*l.
-l*(l - 1)*(l + 14)/7
Solve 4*c**2 - 48*c - 112 = 0.
-2, 14
Factor -5*h**5 - 20*h**4 + 70*h**2 + 85*h + 30.
-5*(h - 2)*(h + 1)**3*(h + 3)
Find q such that -q**4/2 - q**3 = 0.
-2, 0
Factor -2*w**3 - 86*w**2 - 1222*w - 5746.
-2*(w + 13)**2*(w + 17)
Factor -4*y**3/7 - 32*y**2/7 - 12*y - 72/7.
-4*(y + 2)*(y + 3)**2/7
Suppose 4*y**2/5 + 24*y/5 - 28/5 = 0. Calculate y.
-7, 1
Determine n so that 2*n**2 - 8*n - 42 = 0.
-3, 7
Solve o**5/5 + 29*o**4/5 + 58*o**3 + 1186*o**2/5 + 2013*o/5 + 1089/5 = 0 for o.
-11, -3, -1
Suppose 4*u**2/5 - 964*u/5 = 0. What is u?
0, 241
Factor 2*i**2 - 18*i + 16.
2*(i - 8)*(i - 1)
Factor -9*b**3/5 + 71*b**2/5 - 136*b/5 - 16/5.
-(b - 4)**2*(9*b + 1)/5
Determine n so that 3*n**5 - 60*n**4 - 522*n**3 - 1176*n**2 - 1041*n - 324 = 0.
-4, -1, 27
Solve -j**2 + 578*j - 83521 = 0 for j.
289
Factor 3*q**4 - 324*q**3 - 12*q**2 + 1296*q.
3*q*(q - 108)*(q - 2)*(q + 2)
Determine b, given that 3*b**5/5 + 9*b**4/5 - 6*b**3 - 12*b**2 + 72*b/5 + 96/5 = 0.
-4, -2, -1, 2
Solve 3*k**5/7 - 102*k**4/7 + 858*k**3/7 + 300*k**2/7 - 2397*k/7 - 1734/7 = 0 for k.
-1, 2, 17
Factor 7*d**2/3 + 590*d/9 + 56/9.
(d + 28)*(21*d + 2)/9
Determine p, given that -p**5/2 + 17*p**4/2 + 59*p**3/2 + 23*p**2/2 - 29*p - 20 = 0.
-2, -1, 1, 20
Factor 3*n**2 - 897*n + 1782.
3*(n - 297)*(n - 2)
Factor -2*k**2/15 - 32*k/15 + 34/15.
-2*(k - 1)*(k + 17)/15
Solve -2*a**5/9 + 4*a**3/3 + 16*a**2/9 + 2*a/3 = 0.
-1, 0, 3
Suppose -2*w**2 - 2476*w - 2474 = 0. Calculate w.
-1237, -1
Factor 2*d**3/11 - 18720*d**2/11 + 58406400*d/11 - 60742656000/11.
2*(d - 3120)**3/11
Solve 2*h**4/9 + 4*h**3/9 - 26*h**2/9 + 20*h/9 = 0.
-5, 0, 1, 2
Suppose -20*g**2 - 124*g + 1056 = 0. Calculate g.
-11, 24/5
Factor 5*m**2 - 41060*m + 84296180.
5*(m - 4106)**2
Factor -45*z**3 + 6*z**2 + 45*z - 6.
-3*(z - 1)*(z + 1)*(15*z - 2)
Find d such that -23*d**3/5 - 274*d**2/5 + 24*d/5 = 0.
-12, 0, 2/23
Factor -4*k**3 - 2144*k**2 + 2148*k.
-4*k*(k - 1)*(k + 537)
Factor 18*t**2/7 + 36616*t/7 + 8136/7.
2*(t + 2034)*(9*t + 2)/7
Factor -2*v**3/3 - 16*v**2/3 + 88*v/3 - 32.
-2*(v - 2)**2*(v + 12)/3
Solve 50*n**5/17 + 194*n**4/17 + 276*n**3/17 + 164*n**2/17 + 26*n/17 - 6/17 = 0.
-1, 3/25
Solve 2*c**5 + 10*c**4 + 6*c**3 - 10*c**2 - 8*c = 0.
-4, -1, 0, 1
Factor 4*p**2/5 + 12*p - 64/5.
4*(p - 1)*(p + 16)/5
What is r in -r**5/4 + r**4 - 5*r**3/4 + r**2/2 = 0?
0, 1, 2
Factor 2*a**2 - 10*a - 28.
2*(a - 7)*(a + 2)
Solve 4*k**3 - 1324*k**2 + 2636*k - 1316 = 0 for k.
1, 329
Let w**2/6 + 193*w/3 + 385/6 = 0. What is w?
-385, -1
Factor 25*f**3/6 + 1955*f**2/6 + 773*f/2 + 231/2.
(f + 77)*(5*f + 3)**2/6
Let -35*m**2 + 1175*m - 660 = 0. Calculate m.
4/7, 33
Factor 3*i**4 - 18*i**2 + 24*i - 9.
3*(i - 1)**3*(i + 3)
Determine k so that 4*k**3 - 284*k**2 - 888*k = 0.
-3, 0, 74
Let 3*y**2/4 - 183*y/4 = 0. Calculate y.
0, 61
Factor 65*q**2 + 40*q - 105.
5*(q - 1)*(13*q + 21)
Suppose -2*b**2/21 - 772*b/21 - 110/3 = 0. Calculate b.
-385, -1
Find x such that x**5/2 - 2*x**4 - 9*x**3/2 + 8*x**2 + 10*x = 0.
-2, -1, 0, 2, 5
Solve u**4/3 + 595*u**3/3 + 39203*u**2 + 7642993*u/3 - 15761198/3 = 0.
-199, 2
Factor 3*w**5/4 - 9*w**4 + 141*w**3/4 - 39*w**2 - 36*w + 48.
3*(w - 4)**3*(w - 1)*(w + 1)/4
Suppose -5*j**5 - 56*j**4 - 47*j**3 + 136*j**2 + 52*j - 80 = 0. What is j?
-10, -2, -1, 4/5, 1
Find v such that -3*v**2/2 - 5208*v - 4520544 = 0.
-1736
Factor 3*f**3/2 + 252*f**2 + 501*f/2.
3*f*(f + 1)*(f + 167)/2
Factor -2*h**2/9 - 100*h/9 - 1178/9.
-2*(h + 19)*(h + 31)/9
Determine j, given that -j**5/3 + j**4 + 5*j**3/3 - j**2 - 4*j/3 = 0.
-1, 0, 1, 4
Let -35*n**5 + 1235*n**4 - 1505*n**3 - 895*n**2 + 1540*n - 340 = 0. Calculate n.
-1, 2/7, 1, 34
Factor -2*v**3 + 70*v**2 - 134*v + 66.
-2*(v - 33)*(v - 1)**2
Let -2*n**3/5 - 8*n**2/5 - 8*n/5 = 0. Calculate n.
-2, 0
What is r in -3*r**5 - 363*r**4 + 366*r**3 = 0?
-122, 0, 1
Determine b so that b**5/2 + 21*b**4/2 + 27*b**3 = 0.
-18, -3, 0
Solve -3*v**2/5 - 111*v/5 + 114/5 = 0.
-38, 1
Factor 5*w**5 + 785*w**4 + 42095*w**3 + 822375*w**2 + 2809080*w + 2653020.
5*(w + 2)**2*(w + 51)**3
Suppose 5*j**2 + 14400*j + 10368000 = 0. What is j?
-1440
Solve -3*w**2/5 + 9*w/5 + 12/5 = 0 for w.
-1, 4
Factor 11*y**3/4 + 45*y**2/2 + 37*y + 6.
(y + 2)*(y + 6)*(11*y + 2)/4
Suppose 14*y**5/11 + 12*y**4/11 - 84*y**3/11 - 184*y**2/11 - 138*y/11 - 36/11 = 0. What is y?
-1, -6/7, 3
Factor 3*m*