*2/4
Factor -z**2/4 - 401*z/2 + 2415/4.
-(z - 3)*(z + 805)/4
Solve -32*s**3/3 - 720*s**2 - 1062*s - 396 = 0 for s.
-66, -3/4
Factor 4*g**3 - 44*g**2 - 48*g.
4*g*(g - 12)*(g + 1)
Suppose -3*z**3/4 - 9*z**2/4 + 12*z - 9 = 0. Calculate z.
-6, 1, 2
Suppose 8*v**2/9 - 658*v/9 + 164/9 = 0. Calculate v.
1/4, 82
Factor -3*n**2 - 255*n + 522.
-3*(n - 2)*(n + 87)
Determine v, given that 2*v**3 - 4*v**2 - 2*v + 4 = 0.
-1, 1, 2
Let -5*a**5 + 225*a**4/2 - 1135*a**3/2 - 15*a**2/2 + 2405*a/2 + 525 = 0. What is a?
-1, -1/2, 2, 7, 15
Let 3*k**4 - 30*k**3 + 39*k**2 + 72*k = 0. What is k?
-1, 0, 3, 8
Factor 2*t**4 - 16*t**3 - 62*t**2 - 44*t.
2*t*(t - 11)*(t + 1)*(t + 2)
Let -3*c**5/5 - 3*c**4 - 18*c**3/5 + 12*c**2/5 + 24*c/5 = 0. Calculate c.
-2, 0, 1
Factor -5*k**2 + 5*k + 60.
-5*(k - 4)*(k + 3)
Factor -4*x**2 - 344*x - 3300.
-4*(x + 11)*(x + 75)
Find q such that -4*q**2 - 844*q + 3440 = 0.
-215, 4
Determine g, given that 2*g**2 - 65*g + 93 = 0.
3/2, 31
Factor l**2/6 - 33*l/2 - 101/3.
(l - 101)*(l + 2)/6
Find t such that 15*t**2 + 222*t - 45 = 0.
-15, 1/5
Solve 505*k**3 - 15140*k**2 + 113325*k + 2250 = 0 for k.
-2/101, 15
Let s**4/4 - 13*s**3 + 216*s**2 - 972*s - 2916 = 0. What is s?
-2, 18
Factor -b**3 - 53*b**2 - 616*b + 2352.
-(b - 3)*(b + 28)**2
Factor -3*m**2 + 234*m - 4416.
-3*(m - 46)*(m - 32)
Suppose -q**2/9 - 125*q/9 + 14 = 0. Calculate q.
-126, 1
Suppose 4*w**5 + 20*w**4 + 33*w**3 + 20*w**2 + 4*w = 0. Calculate w.
-2, -1/2, 0
Determine i, given that -2*i**2/3 + 6*i = 0.
0, 9
Factor -4*m**2/3 + 96*m + 292/3.
-4*(m - 73)*(m + 1)/3
What is p in -36*p**5/5 + 33*p**4/5 + 6*p**3 - 33*p**2/5 + 6*p/5 = 0?
-1, 0, 1/4, 2/3, 1
Factor 2*g**2 + 30*g + 88.
2*(g + 4)*(g + 11)
Suppose 2*q**2/19 - 5508*q/19 - 290 = 0. Calculate q.
-1, 2755
Let 5*g**2 + 1540*g + 3060 = 0. Calculate g.
-306, -2
Factor -k**5/7 - 5*k**4/7 - 10*k**3/7 - 10*k**2/7 - 5*k/7 - 1/7.
-(k + 1)**5/7
Factor 238*c**3/13 - 242*c**2/13 + 4*c/13.
2*c*(c - 1)*(119*c - 2)/13
Determine d so that d**3 - 75*d**2 - 76*d = 0.
-1, 0, 76
Suppose -3*z**5/5 - 48*z**4/5 - 216*z**3/5 - 78*z**2 - 309*z/5 - 18 = 0. Calculate z.
-10, -3, -1
Solve i**2/9 + 13*i/9 - 14/9 = 0 for i.
-14, 1
Factor 4*k**5 + 3044*k**4 + 583672*k**3 + 1732792*k**2 + 1726724*k + 574564.
4*(k + 1)**3*(k + 379)**2
Suppose -6*f**3 - 170*f**2 + 188*f + 352 = 0. Calculate f.
-88/3, -1, 2
Determine h so that -h**3 + 1515*h**2 - 574563*h + 573049 = 0.
1, 757
What is v in -2*v**5 + 46*v**4 - 348*v**3 + 644*v**2 + 3038*v - 10290 = 0?
-3, 5, 7
Factor -2*b**4 + 14*b**2 + 12*b.
-2*b*(b - 3)*(b + 1)*(b + 2)
Factor -2*c**3/3 + 2*c**2/3 + 40*c/3.
-2*c*(c - 5)*(c + 4)/3
Let -2*p**5 + 10*p**4 - 10*p**3 - 10*p**2 + 12*p = 0. Calculate p.
-1, 0, 1, 2, 3
Find y such that y**5/4 + 3*y**4/4 - 5*y**3/2 - 5*y**2 + 6*y + 8 = 0.
-4, -2, -1, 2
Factor -4*b**3 + 2712*b**2 - 462384*b + 913952.
-4*(b - 338)**2*(b - 2)
Let -21*x**3 - 258*x**2 - 639*x - 162 = 0. What is x?
-9, -3, -2/7
Factor 3*l**3/8 - 39*l/8 + 9/2.
3*(l - 3)*(l - 1)*(l + 4)/8
Factor f**3 - 204*f**2 - f + 204.
(f - 204)*(f - 1)*(f + 1)
Solve -3*f**5 - 13*f**4 - 34*f**3/3 + 10*f**2/3 + 11*f/3 - 1 = 0 for f.
-3, -1, 1/3
Factor 5*c**3/4 + 23*c**2/4 - 12*c - 9.
(c - 2)*(c + 6)*(5*c + 3)/4
Solve 2*x**3/9 + 2000*x**2/9 + 886*x + 664 = 0 for x.
-996, -3, -1
Let 5*a**2 + 135*a - 290 = 0. Calculate a.
-29, 2
What is j in -4*j**4 + 154*j**3 - 502*j**2 + 420*j = 0?
0, 3/2, 2, 35
Factor 4*k**3 + 472*k**2 + 1836*k + 1368.
4*(k + 1)*(k + 3)*(k + 114)
Factor 3*c**3 - 33*c**2 - 3*c + 33.
3*(c - 11)*(c - 1)*(c + 1)
Solve y**3 - 104*y**2 + 2484*y + 11664 = 0.
-4, 54
Find f, given that f**2/7 + 64*f/7 + 1024/7 = 0.
-32
Factor -3*c**3/8 - 15*c**2/8 - 3*c/4 + 3.
-3*(c - 1)*(c + 2)*(c + 4)/8
Solve 5*a**4 + 15*a**3 - 5*a**2 - 15*a = 0 for a.
-3, -1, 0, 1
Solve 12*c**5 - 200*c**4 + 1008*c**3 - 1512*c**2 - 1404*c + 3888 = 0 for c.
-4/3, 3, 9
Factor 4*s**4 - 12*s**3 - 24*s**2 + 32*s.
4*s*(s - 4)*(s - 1)*(s + 2)
Suppose 12*h**3 + 9*h**2 - 18*h - 15 = 0. Calculate h.
-1, 5/4
Suppose -5*t**3 - 10*t**2 + 45*t + 90 = 0. Calculate t.
-3, -2, 3
Solve -5*u**4/2 - 735*u**3/2 - 4245*u**2/2 - 2065*u/2 + 3525 = 0.
-141, -5, -2, 1
Factor 5*q**3 - 35*q**2.
5*q**2*(q - 7)
Find l, given that -1587*l**4 - 41400*l**3 - 271794*l**2 - 23400*l - 507 = 0.
-13, -1/23
Factor -w**2 - 85*w/4 - 21/4.
-(w + 21)*(4*w + 1)/4
Factor 109*g**4 + 656*g**3 + 557*g**2 + 10*g.
g*(g + 1)*(g + 5)*(109*g + 2)
Determine j, given that -j**5/5 + j**4 + 447*j**3/5 + 539*j**2 - 3146*j/5 = 0.
-11, 0, 1, 26
Find q such that 5*q**5 + 900*q**4 + 38665*q**3 - 164690*q**2 + 209760*q - 84640 = 0.
-92, 1, 2
Factor -4*g**3 - 40*g**2 - 112*g - 96.
-4*(g + 2)**2*(g + 6)
Factor c**2 + 196*c + 9604.
(c + 98)**2
Factor -2*x**3 + 468*x**2 - 1848*x + 1840.
-2*(x - 230)*(x - 2)**2
Factor -3*c**2/2 - 39*c/2 + 345.
-3*(c - 10)*(c + 23)/2
Factor -i**3/5 + 41*i**2/5 - 186*i/5 + 216/5.
-(i - 36)*(i - 3)*(i - 2)/5
Determine w so that -3*w**4 + 3573*w**3 + 7155*w**2 + 3579*w = 0.
-1, 0, 1193
Factor 2602*j**2/5 - 5208*j/5 + 8/5.
2*(j - 2)*(1301*j - 2)/5
Determine t, given that t**2 + 102*t + 2601 = 0.
-51
What is z in -4*z**5 - 64*z**4 - 276*z**3 - 376*z**2 - 160*z = 0?
-10, -4, -1, 0
What is s in -2*s**4/5 + 40*s**3 + 408*s**2/5 = 0?
-2, 0, 102
Solve -5*z**3 + 1880*z**2 + 3775*z + 1890 = 0.
-1, 378
Factor 4*m**2 + 5868*m.
4*m*(m + 1467)
Find a such that a**2/10 - 2913*a/5 + 8485569/10 = 0.
2913
What is q in -2*q**5/11 + 20*q**4/11 - 70*q**3/11 + 100*q**2/11 - 48*q/11 = 0?
0, 1, 2, 3, 4
Factor -3*l**2 + 2934*l - 717363.
-3*(l - 489)**2
Let r**3/4 - 9*r/4 = 0. Calculate r.
-3, 0, 3
Factor -g**2/3 - 40*g/3 + 896/3.
-(g - 16)*(g + 56)/3
Factor v**3/2 + 6*v**2 - 13*v/2.
v*(v - 1)*(v + 13)/2
Solve 36*b**5/7 - 642*b**4/7 - 1028*b**3/7 + 4314*b**2/7 + 1184*b/7 - 2280/7 = 0 for b.
-3, -5/6, 2/3, 2, 19
Suppose -288*t**2/5 - 336*t/5 - 98/5 = 0. What is t?
-7/12
Solve c**4 - c**3 - 2*c**2 = 0 for c.
-1, 0, 2
Let -z**3/2 - 7*z**2/2 - 7*z - 4 = 0. What is z?
-4, -2, -1
Factor -2*i**2/3 + 66*i - 2380/3.
-2*(i - 85)*(i - 14)/3
Let -136*z**2 - 4*z = 0. What is z?
-1/34, 0
Determine w, given that 2*w**4 - 38*w**2 - 12*w + 144 = 0.
-3, 2, 4
Factor -2*o**3/17 - 438*o**2/17 - 24198*o/17 - 23762/17.
-2*(o + 1)*(o + 109)**2/17
Factor 2*r**3/15 + 414*r**2/5 - 1244*r/15.
2*r*(r - 1)*(r + 622)/15
Determine p so that 3*p**5/5 + 21*p**4/5 + 39*p**3/5 + 3*p**2/5 - 42*p/5 - 24/5 = 0.
-4, -2, -1, 1
Let -3*a**4/5 + 48*a**3/5 - 81*a**2/5 - 48*a/5 + 84/5 = 0. Calculate a.
-1, 1, 2, 14
Suppose 4*v**4 + 8*v**3 - 12*v**2 - 32*v - 16 = 0. Calculate v.
-2, -1, 2
Find w, given that 2*w**5/9 + 182*w**4/9 - 62*w**3/3 - 182*w**2/9 + 184*w/9 = 0.
-92, -1, 0, 1
Find f such that -f**2/3 - 1034*f/3 - 267289/3 = 0.
-517
Find o such that o**5/12 + o**4/12 = 0.
-1, 0
Suppose 5*r**3 + 155*r**2 - 510*r = 0. Calculate r.
-34, 0, 3
Find k such that -2*k**2/9 - 58*k/9 - 12 = 0.
-27, -2
Let 2*x**5 - 6*x**4 + 4*x**3 + 4*x**2 - 6*x + 2 = 0. What is x?
-1, 1
Solve -10*m**4 - 2525*m**3 - 6255*m**2 - 1240*m + 2500 = 0.
-250, -2, -1, 1/2
Factor -n**2/2 - 835*n - 697225/2.
-(n + 835)**2/2
Suppose -6*b**5/11 + 52*b**4/11 - 16*b**3 + 288*b**2/11 - 224*b/11 + 64/11 = 0. Calculate b.
2/3, 2
Suppose -2*k**4/3 + 2*k**3 - 2*k**2/3 - 2*k + 4/3 = 0. Calculate k.
-1, 1, 2
Factor 2*d**2/5 - 1408*d + 1239040.
2*(d - 1760)**2/5
Let 4*s**3 - 12*s**2 + 8*s = 0. Calculate s.
0, 1, 2
Factor -z**4/4 - 293*z**3/2 + 589*z**2 - 590*z.
-z*(z - 2)**2*(z + 590)/4
Suppose -12*z**5 - 39*z**4 + 24*z**3 + 78*z**2 - 12*z - 39 = 0. Calculate z.
-13/4, -1, 1
Factor -3*w**5 - 45*w**4 - 240*w**3 - 600*w**2 - 720*w - 336.
-3*(w + 2)**4*(w + 7)
Suppose l**2 - 692*l + 1380 = 0. What is l?
2, 690
Suppose 4*u**3 - 676*u**2 + 1324*u + 2004 = 0. Calculate u.
-1, 3, 167
Find o, given that -3*o**3/5 + 3*o**2/5 + 12*o/5 - 12/5 = 0.
-2, 1, 2
Factor -2*d**4/11 + 2*d**3/11 + 60*d**2/11 + 152*d/11 + 112/11.
-2*(d - 7)*(d + 2)**3/11
Factor -2*t**2 - 18*t - 40.
-2*(t + 4)*(t + 5)
Factor -2*t**3/7 + 552*t**2/7 + 554*t/7.
-2*t*(t - 277)*(t + 1)/7
What is a in 45*a**4/2 + 33*a**3/2 - 17*a**2 - 18*a - 4 = 0?
-2/3, -2/5, 1
Let -21*q**4/2 + 19*q**3/2 + 22*q**2 + 2*q = 0. Calculate q.
-1, -2/21, 0, 2
What is c in 6*c**2 - 291*c - 2331 = 0?
-7, 111/2
Factor a**3/4 - 461*a**2/4 + 459*a/2.
a*(a - 459)*(a - 2)/4
Fin