etermine r so that r**3 - 277*r**2 + 824*r - 548 = 0.
1, 2, 274
Let 8*m**2 + 1916*m - 2892 = 0. Calculate m.
-241, 3/2
What is v in 3*v**3 - 57*v**2 + 165*v + 1089 = 0?
-3, 11
Suppose 3*p**2 - 117*p = 0. Calculate p.
0, 39
Solve g**4/2 - 3*g**3/4 - 4*g**2 - 15*g/4 - 1 = 0.
-1, -1/2, 4
Find j such that -3*j**3/8 - 51*j**2/8 + 27*j/4 = 0.
-18, 0, 1
Factor -q**3/4 - 1091*q**2/4 + 2185*q/4 - 1093/4.
-(q - 1)**2*(q + 1093)/4
Factor 5*r**2/4 + 235*r/2 + 230.
5*(r + 2)*(r + 92)/4
Factor 9*d**4/4 + 65*d**3/4 + 43*d**2/2 - 32*d - 8.
(d - 1)*(d + 4)**2*(9*d + 2)/4
Determine d, given that -5*d**3 - 390*d**2 - 6045*d + 6440 = 0.
-56, -23, 1
Factor 3*w**5 + 21*w**4 + 30*w**3.
3*w**3*(w + 2)*(w + 5)
Factor 2*u**4/7 + 2*u**3 + 24*u**2/7 - 8*u/7 - 32/7.
2*(u - 1)*(u + 2)**2*(u + 4)/7
Factor 671*o**3/2 - o**2/2 - 671*o/2 + 1/2.
(o - 1)*(o + 1)*(671*o - 1)/2
Factor n**3 + 95*n**2 - 808*n + 1648.
(n - 4)**2*(n + 103)
What is c in -2*c**5 - 50*c**4 - 94*c**3 - 46*c**2 = 0?
-23, -1, 0
Determine f, given that f**4/3 + f**3/3 - f**2 - 5*f/3 - 2/3 = 0.
-1, 2
Let -14*n**4/11 + 5114*n**3/11 - 11624*n**2/11 + 264*n = 0. What is n?
0, 2/7, 2, 363
Suppose 8*f**5 - 56*f**4 + 106*f**3 + 8*f**2 - 102*f - 36 = 0. What is f?
-1/2, 2, 3
Factor -m**2/2 + m/2 + 136.
-(m - 17)*(m + 16)/2
Solve n**3/6 - 3*n**2/2 + 5*n/2 + 25/6 = 0.
-1, 5
Factor 4*h**3 - 116*h**2 + 112*h.
4*h*(h - 28)*(h - 1)
What is l in -l**5/2 + 37*l**4/2 + l**3 - 37*l**2 - l/2 + 37/2 = 0?
-1, 1, 37
What is j in 80*j**5 + 300*j**4 + 180*j**3 - 5*j**2 - 15*j = 0?
-3, -1/2, 0, 1/4
Solve -a**2 - 761*a + 2292 = 0.
-764, 3
Factor 3*r**2 - 651*r.
3*r*(r - 217)
Factor 8192*p**4 - 24832*p**3 + 2946*p**2 + 24056*p + 7688.
2*(p - 2)**2*(64*p + 31)**2
Factor j**2/2 + 32*j + 62.
(j + 2)*(j + 62)/2
Factor -2*s**3 + 22*s**2 + 2*s - 22.
-2*(s - 11)*(s - 1)*(s + 1)
Determine i so that -i**5/9 + 7*i**4/9 - 11*i**3/9 - 19*i**2/9 + 20*i/3 - 4 = 0.
-2, 1, 2, 3
Find h such that h**2/4 - 158*h = 0.
0, 632
Find u, given that 2*u**2/15 + 28*u/15 + 16/5 = 0.
-12, -2
Suppose -2*b**5/17 + 12*b**4/17 - 24*b**3/17 + 16*b**2/17 = 0. Calculate b.
0, 2
Suppose -o**4 + 49*o**3 - 89*o**2 - 241*o + 282 = 0. What is o?
-2, 1, 3, 47
Factor w**4/5 + 3*w**3/5.
w**3*(w + 3)/5
Suppose -5*p**5 + 730*p**4 - 1425*p**3 - 2180*p**2 + 2860*p + 2880 = 0. Calculate p.
-1, 2, 144
Suppose -28*i**2/3 - 580*i/3 + 56 = 0. What is i?
-21, 2/7
Determine g so that -2*g**4/5 + 14*g**2/5 + 12*g/5 = 0.
-2, -1, 0, 3
Solve -2*a**3 + 26*a**2 + 58*a + 30 = 0.
-1, 15
Let -5*f**3 - 80*f**2 - 15*f + 900 = 0. Calculate f.
-15, -4, 3
Suppose -8*y**3/5 + 2*y**2/5 + 6*y/5 = 0. Calculate y.
-3/4, 0, 1
Suppose 3*f**2 + 24*f - 195 = 0. Calculate f.
-13, 5
Solve 5*m**5 + 15*m**4 - 95*m**3 - 215*m**2 + 90*m + 200 = 0.
-5, -2, -1, 1, 4
Suppose h**5/5 + 11*h**4/5 + 34*h**3/5 + 14*h**2/5 - 7*h - 5 = 0. Calculate h.
-5, -1, 1
Factor 2*m**4/13 - 18*m**3/13 + 42*m**2/13 - 38*m/13 + 12/13.
2*(m - 6)*(m - 1)**3/13
Factor -10*z**4 - 5*z**3 + 10*z**2 + 5*z.
-5*z*(z - 1)*(z + 1)*(2*z + 1)
Factor -3*o**3/2 + 81*o**2/2 - 63*o - 300.
-3*(o - 25)*(o - 4)*(o + 2)/2
Factor -5*n**3 - 25*n**2 + 20*n + 100.
-5*(n - 2)*(n + 2)*(n + 5)
Let -5*v**2 + 2570*v - 2565 = 0. Calculate v.
1, 513
Factor -4*k**4/3 - 8666*k**3/3 - 1565296*k**2 - 781926*k.
-2*k*(k + 1083)**2*(2*k + 1)/3
Factor z**4 - 36*z**3 + 427*z**2 - 1764*z + 1372.
(z - 14)**2*(z - 7)*(z - 1)
Suppose 2*m**4 - 26*m**3 - 2*m**2 + 26*m = 0. What is m?
-1, 0, 1, 13
Let 2*q**5 + 14*q**4 + 20*q**3 - 4*q**2 - 22*q - 10 = 0. Calculate q.
-5, -1, 1
Determine o so that 5*o**3 + 40*o**2 + 60*o = 0.
-6, -2, 0
Solve 50*v**3 + 153*v**2 + 109*v + 6 = 0.
-2, -1, -3/50
Factor w**3/4 - 45*w**2 + 177*w - 176.
(w - 176)*(w - 2)**2/4
Suppose -5*s**2 - 910*s + 915 = 0. Calculate s.
-183, 1
Let 3*u**2 - 15750*u + 20671875 = 0. What is u?
2625
What is j in j**3/2 + j**2 - 15*j/2 - 18 = 0?
-3, 4
Let f**4/2 - 13*f**3 + 165*f**2/2 + 52*f - 338 = 0. What is f?
-2, 2, 13
Find p, given that -2*p**4/3 + 10*p**3/3 + 16*p**2 = 0.
-3, 0, 8
Factor 2*s**3/3 - 916*s**2/3 + 106690*s/3 - 412232/3.
2*(s - 227)**2*(s - 4)/3
Factor -v**3/5 + 3*v**2/5 + 54*v/5.
-v*(v - 9)*(v + 6)/5
Factor 2*c**2/13 + 98*c/13 - 2244/13.
2*(c - 17)*(c + 66)/13
Find d, given that -3*d**3/8 + 21*d**2/2 + 177*d/8 + 45/4 = 0.
-1, 30
Factor -s**3/6 + 55*s**2 + 331*s/6.
-s*(s - 331)*(s + 1)/6
Factor -q**4/5 + 11*q**3/5 - 8*q**2/5 - 4*q.
-q*(q - 10)*(q - 2)*(q + 1)/5
Suppose -28*r**5 + 176*r**4 - 272*r**3 - 104*r**2 + 300*r - 72 = 0. What is r?
-1, 2/7, 1, 3
Suppose -2*a**3/7 - 10*a**2 - 646*a/7 - 578/7 = 0. Calculate a.
-17, -1
Factor 3*w**2 - 42*w - 360.
3*(w - 20)*(w + 6)
Factor -2*d**2/3 - 8*d/3 - 8/3.
-2*(d + 2)**2/3
What is s in -3*s**2 - 15*s - 18 = 0?
-3, -2
Factor 18*p**5 - 130*p**4 + 28*p**3.
2*p**3*(p - 7)*(9*p - 2)
Determine y so that -3*y**2 + 9*y + 12 = 0.
-1, 4
Determine v, given that 3*v**4 - 6*v**3 - 504*v**2 + 1014*v - 507 = 0.
-13, 1, 13
Factor 12*y**5 + 285*y**4 + 2448*y**3 + 8778*y**2 + 9996*y - 3087.
3*(y + 3)*(y + 7)**3*(4*y - 1)
Find u such that -9*u**4/7 + 132*u**3/7 - 201*u**2/7 + 78*u/7 = 0.
0, 2/3, 1, 13
Find y such that -2*y**5/3 - 80*y**4/3 - 266*y**3 - 888*y**2 - 648*y = 0.
-27, -6, -1, 0
Solve -2*n**5 - 84*n**4 - 1048*n**3 - 2736*n**2 + 10368*n = 0.
-18, -8, 0, 2
Solve -5*q**2 - 10*q = 0.
-2, 0
Factor -f**2/4 + 19*f/2 - 165/4.
-(f - 33)*(f - 5)/4
Factor -4*h**4 - 2912*h**3 - 529984*h**2.
-4*h**2*(h + 364)**2
Determine l, given that 28*l**4/9 + 428*l**3/9 - 1672*l**2/9 - 5552*l/9 - 160 = 0.
-18, -2, -2/7, 5
Factor 5*y**5 + 35*y**4 + 60*y**3 - 20*y**2 - 80*y.
5*y*(y - 1)*(y + 2)**2*(y + 4)
Suppose 2*i**5 - 1624*i**4 + 328042*i**3 + 662596*i**2 = 0. Calculate i.
-2, 0, 407
Let -y**2/2 + 31*y/2 + 51 = 0. What is y?
-3, 34
Factor -3442*w**3 - 6888*w**2 - 3450*w - 4.
-2*(w + 1)**2*(1721*w + 2)
Factor q**4/2 + 5*q**3 - 51*q**2/2 + 34*q - 14.
(q - 2)*(q - 1)**2*(q + 14)/2
Factor -2*z**3/7 + 148*z**2 + 2*z/7 - 148.
-2*(z - 518)*(z - 1)*(z + 1)/7
What is u in -5*u**3 - 1017*u**2 + 614*u + 408 = 0?
-204, -2/5, 1
Let -8*m**3/7 - 13*m**2/7 + 116*m/7 - 95/7 = 0. Calculate m.
-5, 1, 19/8
Find l, given that -2*l**5/5 - 12*l**4/5 - 4*l**3/5 + 32*l**2/5 + 6*l/5 - 4 = 0.
-5, -2, -1, 1
Factor 3*q**3 + 486*q**2 + 960*q.
3*q*(q + 2)*(q + 160)
Determine x, given that 2*x**5/5 - 4*x**4/5 - 34*x**3/5 + 28*x**2 - 184*x/5 + 16 = 0.
-5, 1, 2
Factor 4*r**5 + 12*r**4 - 16*r**2.
4*r**2*(r - 1)*(r + 2)**2
Factor -5*y**2 + 3865*y - 15380.
-5*(y - 769)*(y - 4)
What is a in 3*a**3/7 - 150*a**2/7 + 288*a/7 = 0?
0, 2, 48
Factor 2*r**3/7 + 66*r**2.
2*r**2*(r + 231)/7
Factor 3*k**2 + 207*k - 1350.
3*(k - 6)*(k + 75)
Determine r, given that -14*r**4 + 234*r**3 + 320*r**2 + 72*r = 0.
-1, -2/7, 0, 18
Determine x, given that -4*x**4 + 328*x**3 - 6720*x**2 - 328*x + 6724 = 0.
-1, 1, 41
Factor -k**5/3 + 35*k**4/3 - 96*k**3 - 108*k**2.
-k**2*(k - 18)**2*(k + 1)/3
Factor 2*o**4/3 - 6*o**3 + 28*o**2/3.
2*o**2*(o - 7)*(o - 2)/3
Factor -5*u**3 + 5*u**2 + 85*u + 75.
-5*(u - 5)*(u + 1)*(u + 3)
Factor -h**2 - 17*h + 84.
-(h - 4)*(h + 21)
Factor -2*s**3/13 + 1016*s**2/13 - 129032*s/13.
-2*s*(s - 254)**2/13
Factor 5*u**3 + 9815*u**2 + 4821615*u + 4811805.
5*(u + 1)*(u + 981)**2
Factor 3*s**3 - 180*s**2 - 372*s.
3*s*(s - 62)*(s + 2)
Factor -2*b**2/13 + 1008*b/13.
-2*b*(b - 504)/13
Determine w so that 2*w**4/5 - 8*w**3/5 + 2*w**2 - 4*w/5 = 0.
0, 1, 2
Find k, given that 3*k**2 + 18*k + 27 = 0.
-3
Let -18*w**5 - 489*w**4 + 534*w**3 + 3207*w**2 + 402*w - 504 = 0. What is w?
-28, -2, -1/2, 1/3, 3
Find y such that 4*y**4 - 1468*y**3 + 130960*y**2 + 685968*y + 553536 = 0.
-4, -1, 186
Factor -2*x**5/7 - 66*x**4/7 - 636*x**3/7 - 1532*x**2/7 - 1410*x/7 - 450/7.
-2*(x + 1)**3*(x + 15)**2/7
Suppose 5*j**4 + 780*j**3 + 5270*j**2 + 8220*j + 3725 = 0. Calculate j.
-149, -5, -1
Determine p so that 112*p**5/5 + 1348*p**4/5 - 20232*p**3/5 + 17996*p**2/5 + 424*p - 1344/5 = 0.
-21, -2/7, 1/4, 1, 8
Factor -5*f**3 - 1435*f**2 - 102240*f + 103680.
-5*(f - 1)*(f + 144)**2
Determine n, given that -3*n**2/5 + 174*n/5 = 0.
0, 58
Let -27*u**5 - 108*u**4 + 147*u**3 + 48*u**2 - 60*u = 0. Calculate u.
-5, -2/3, 0, 2/3, 1
Determine y so that -2*y**5 - 28*y**4 - 144*y**3 - 332*y**2 - 334*y - 120 = 0.
-5, -4, -3, -1
Factor 4*a**4 + 404*a**3 + 10780*a**2 + 28812*a.
4*a*(