 t.
0, 1/2, 1, 95
Suppose 5*a**2 - 3650*a - 7320 = 0. What is a?
-2, 732
Factor z**5 - 32*z**4 + 221*z**3 + 578*z**2.
z**2*(z - 17)**2*(z + 2)
Determine z, given that -z**4/2 + 57*z**3/2 + z**2/2 - 57*z/2 = 0.
-1, 0, 1, 57
What is b in -3*b**3/5 - 48*b**2/5 + 231*b/5 - 36 = 0?
-20, 1, 3
Factor z**4 - 3*z**3 - 16*z**2 - 12*z.
z*(z - 6)*(z + 1)*(z + 2)
Factor 5*n**2 - 25*n.
5*n*(n - 5)
Solve -q**2/4 - 5*q/2 + 11/4 = 0 for q.
-11, 1
Factor w**2 + 19*w/3 - 14/3.
(w + 7)*(3*w - 2)/3
Determine l so that -l**5 - 7*l**4 + 5*l**3 + 71*l**2 - 40*l - 100 = 0.
-5, -1, 2
Factor -3*f**4 - 15*f**3 - 24*f**2 - 12*f.
-3*f*(f + 1)*(f + 2)**2
Let 2*c**2/11 + 904*c + 1123672 = 0. What is c?
-2486
Factor -4*o**2 - 360*o - 8100.
-4*(o + 45)**2
Suppose g**3/2 - 73*g**2 = 0. What is g?
0, 146
Solve 2*t**2/9 - 10*t/3 - 68/9 = 0.
-2, 17
Factor -2*i**3 + 80*i**2 + 166*i + 84.
-2*(i - 42)*(i + 1)**2
Find k, given that k**3 - 23*k**2 + 79*k - 57 = 0.
1, 3, 19
Determine j so that 2*j**2/5 - 86*j/5 + 84/5 = 0.
1, 42
Suppose 5*x**4 + 310*x**3 - 340*x**2 - 1590*x - 945 = 0. What is x?
-63, -1, 3
Factor 2*f**3/9 - 242*f**2/3.
2*f**2*(f - 363)/9
Factor 5*x**2 - 52*x - 33.
(x - 11)*(5*x + 3)
Factor 2*q**2/7 - 74*q/7 + 264/7.
2*(q - 33)*(q - 4)/7
Factor n**5/4 - 7*n**4/4 + 19*n**3/4 - 25*n**2/4 + 4*n - 1.
(n - 2)**2*(n - 1)**3/4
Let b**3/8 - 3*b**2/8 + b/4 = 0. What is b?
0, 1, 2
Factor x**4 + 25*x**3 + 89*x**2 + 107*x + 42.
(x + 1)**2*(x + 2)*(x + 21)
Suppose h**3/9 + 617*h**2/9 + 616*h/9 = 0. Calculate h.
-616, -1, 0
Solve -k**3 - 15*k**2 - 48*k - 44 = 0 for k.
-11, -2
Determine v so that -3*v**3 - 2991*v**2 + 5991*v - 2997 = 0.
-999, 1
Find s, given that s**5/6 + s**4/3 - 7*s**3/6 + 2*s**2/3 = 0.
-4, 0, 1
Factor 3*f**2/5 + 9*f - 48/5.
3*(f - 1)*(f + 16)/5
Factor 4*x**2/5 - 928*x/5 + 53824/5.
4*(x - 116)**2/5
Determine t so that -4*t**2/9 + 35576*t/9 - 79103236/9 = 0.
4447
Factor g**4/3 + 5*g**3/3 + 2*g**2/3 - 20*g/3 - 8.
(g - 2)*(g + 2)**2*(g + 3)/3
Find w, given that 2*w**2/3 + 154*w/3 + 152/3 = 0.
-76, -1
Factor -2*a**5/7 - 22*a**4/7 - 48*a**3/7 + 72*a**2/7.
-2*a**2*(a - 1)*(a + 6)**2/7
Determine z, given that -z**5/8 - z**4/4 + 3*z**3/4 + 5*z**2/2 + 19*z/8 + 3/4 = 0.
-2, -1, 3
Factor -2*d**3 - 284*d**2 - 10082*d.
-2*d*(d + 71)**2
Factor 4*b**2 - 452*b + 448.
4*(b - 112)*(b - 1)
Suppose -4*a**2/3 - 1600*a/3 - 160000/3 = 0. Calculate a.
-200
Find q, given that q**3 - 53*q**2 + 52*q = 0.
0, 1, 52
Let 3*t**3/7 - 225*t**2/7 - 1431*t/7 - 2187/7 = 0. Calculate t.
-3, 81
Let -15*o**5 + 24*o**4 + 27*o**3 - 24*o**2 - 12*o = 0. What is o?
-1, -2/5, 0, 1, 2
Factor -q**2/3 - 26*q + 160/3.
-(q - 2)*(q + 80)/3
Find i such that -2*i**2/7 - 8*i/7 + 10/7 = 0.
-5, 1
Factor q**4 - 2*q**3.
q**3*(q - 2)
Let y**2/2 + 31*y/2 + 15 = 0. Calculate y.
-30, -1
Find u, given that 2*u**2/9 - 5888*u/9 + 4333568/9 = 0.
1472
What is n in 4*n**4/5 - 24*n**3/5 - 76*n**2/5 + 96*n/5 = 0?
-3, 0, 1, 8
Solve -n**2/7 + 1/7 = 0.
-1, 1
Let -5*z**5 - 295*z**4 - 6080*z**3 - 43520*z**2 + 81920*z + 1638400 = 0. What is z?
-16, 5
Factor -4*d**3 - 172*d**2 + 740*d - 564.
-4*(d - 3)*(d - 1)*(d + 47)
Let -25*b**4 - 1090*b**3 - 4535*b**2 - 1910*b + 1560 = 0. What is b?
-39, -4, -1, 2/5
Find y such that 2*y**2/5 - 1432*y/5 + 286 = 0.
1, 715
Factor 5*m**4 - 110*m**3 - 635*m**2 - 1060*m - 540.
5*(m - 27)*(m + 1)*(m + 2)**2
Factor -2*c**2/11 + 2*c - 60/11.
-2*(c - 6)*(c - 5)/11
Let 20*w**4 - 262*w**3 + 462*w**2 + 8*w - 88 = 0. What is w?
-2/5, 1/2, 2, 11
Find v, given that -4*v**5 - 88*v**4 - 260*v**3 + 544*v**2 + 720*v = 0.
-18, -5, -1, 0, 2
Find b, given that -3*b**2/8 - 249*b/8 - 237/2 = 0.
-79, -4
Solve 2*w**2/7 + 62*w/7 + 116/7 = 0.
-29, -2
Solve z**2/8 + 7*z/4 + 49/8 = 0.
-7
Factor 4*v**4 - 12*v**3 - 52*v**2 + 60*v.
4*v*(v - 5)*(v - 1)*(v + 3)
Factor -2*z**3/13 + 4*z**2 - 290*z/13 + 456/13.
-2*(z - 19)*(z - 4)*(z - 3)/13
Determine v, given that -2*v**3 + 714*v**2 + 2160*v = 0.
-3, 0, 360
What is b in b**5/3 - 2*b**4 - 2*b**3 + 44*b**2/3 - 17*b + 6 = 0?
-3, 1, 6
Factor 5*r**2 - 23790*r + 28298205.
5*(r - 2379)**2
Find m, given that 3*m**5 + 39*m**4 + 27*m**3 - 111*m**2 - 30*m + 72 = 0.
-12, -2, -1, 1
What is a in -3*a**5 + 3*a**4 + 9*a**3 - 3*a**2 - 6*a = 0?
-1, 0, 1, 2
Solve -3*a**3 - 1539*a**2 - 263169*a - 15000633 = 0 for a.
-171
Suppose -4*i**2 - 472*i - 468 = 0. What is i?
-117, -1
Factor 2*v**4/7 + 36*v**3/7 - 2*v**2/7 - 36*v/7.
2*v*(v - 1)*(v + 1)*(v + 18)/7
What is o in o**2/9 + 77*o/9 - 680/9 = 0?
-85, 8
What is x in 6*x**5 + 22*x**4 + 24*x**3 + 8*x**2 = 0?
-2, -1, -2/3, 0
Factor -q**2/4 + 9*q/4 - 2.
-(q - 8)*(q - 1)/4
Let 2*o**3/5 - 68*o**2/3 - 118*o/15 + 76/5 = 0. Calculate o.
-1, 2/3, 57
Factor 81000*a**4 + 72900*a**3 - 7830*a**2 + 267*a - 3.
3*(a + 1)*(30*a - 1)**3
Suppose -4*c**2/7 + 696*c/7 = 0. What is c?
0, 174
Solve 5*p**4/2 - 37*p**3/2 - 629*p**2/2 - 923*p/2 - 168 = 0.
-7, -1, -3/5, 16
Factor 4*q**4 + 16*q**3 - 44*q**2 + 24*q.
4*q*(q - 1)**2*(q + 6)
What is m in -2*m**5 + 3*m**4/2 + 13*m**3/2 - 17*m**2/2 + 3*m/2 + 1 = 0?
-2, -1/4, 1
What is i in i**5/4 + 37*i**4/4 + 35*i**3/4 - 37*i**2/4 - 9*i = 0?
-36, -1, 0, 1
Factor 2*c**5/5 - 8*c**4/5 + 2*c**3 - 4*c**2/5.
2*c**2*(c - 2)*(c - 1)**2/5
Factor -10*r**3/9 - 104*r**2/9 - 290*r/9 - 100/9.
-2*(r + 5)**2*(5*r + 2)/9
Let -2*f**2 + 22*f + 204 = 0. Calculate f.
-6, 17
Determine a so that -3*a**3/5 + 486*a**2/5 - 1431*a/5 = 0.
0, 3, 159
Factor -3*g**3/4 + 27*g**2/2 - 72*g + 96.
-3*(g - 8)**2*(g - 2)/4
Find y, given that -y**2 - 22*y + 408 = 0.
-34, 12
Solve 4*p**5/3 - 329*p**4/3 + 406*p**3/3 - 27*p**2 = 0 for p.
0, 1/4, 1, 81
Determine n so that 5*n**4 - 190*n**3 + 700*n**2 - 680*n = 0.
0, 2, 34
Factor -4*z**4 - 3154*z**3 - 828450*z**2 - 72350774*z + 36382894.
-2*(z + 263)**3*(2*z - 1)
Factor x**2/3 + 154*x/3.
x*(x + 154)/3
Solve -2*b**5/21 - 254*b**4/21 - 10580*b**3/21 - 137084*b**2/21 + 306934*b/21 - 159014/21 = 0 for b.
-43, 1
Determine t so that -3*t**2 - 708*t - 41772 = 0.
-118
Let 720*q**2 + 2040*q + 1445 = 0. Calculate q.
-17/12
Factor 2*g**2/3 + 88*g/3.
2*g*(g + 44)/3
Factor 2*i**2/11 - 164*i/11 - 1638/11.
2*(i - 91)*(i + 9)/11
Find u, given that -2*u**5 - 44*u**4 + 152*u**3 + 44*u**2 - 150*u = 0.
-25, -1, 0, 1, 3
Determine s so that -2*s**4 - 50*s**3 + 254*s**2 + 650*s + 348 = 0.
-29, -1, 6
Factor -4*k**3/5 - 40*k**2 - 2628*k/5 - 10368/5.
-4*(k + 9)**2*(k + 32)/5
Find p, given that 2*p**2/9 - 316*p/9 - 106/3 = 0.
-1, 159
Factor 3*r**5 + 66*r**4 + 207*r**3 - 1716*r**2 + 2028*r.
3*r*(r - 2)**2*(r + 13)**2
Factor -3*z**3 + 18*z**2 + 21*z.
-3*z*(z - 7)*(z + 1)
Suppose 3*f**4/7 + 30*f**3/7 + 27*f**2/7 = 0. What is f?
-9, -1, 0
Factor g**5/3 + 2*g**4/3 - g**3/3 - 2*g**2/3.
g**2*(g - 1)*(g + 1)*(g + 2)/3
Solve 175*x**5 + 95*x**4 - 430*x**3 + 160*x**2 = 0.
-2, 0, 16/35, 1
Factor -4*v**3 - 140*v**2 - 136*v.
-4*v*(v + 1)*(v + 34)
Let -3*b**3 - 3*b**2 + 6*b = 0. Calculate b.
-2, 0, 1
Factor -49*u**2 + 590*u - 24.
-(u - 12)*(49*u - 2)
Suppose r**2/4 - 18*r + 324 = 0. Calculate r.
36
Factor -s**4 - 2*s**3 + s**2 + 2*s.
-s*(s - 1)*(s + 1)*(s + 2)
Solve 5*m**2 - 150*m - 320 = 0 for m.
-2, 32
Factor -199*z**2/4 + 191*z/4 + 2.
-(z - 1)*(199*z + 8)/4
Let -7*p**2/10 - 177*p/10 - 5 = 0. What is p?
-25, -2/7
Factor -2*y**4 + 7*y**3 + 5*y**2 - 4*y.
-y*(y - 4)*(y + 1)*(2*y - 1)
Solve 4*a**2 + 116*a + 112 = 0 for a.
-28, -1
Solve 8*i**5 - 36*i**4 - 28*i**3 + 204*i**2 + 20*i - 168 = 0 for i.
-2, -1, 1, 3, 7/2
Suppose -3*r**4/2 + 65*r**3/2 - 281*r**2/2 + 139*r/2 + 40 = 0. Calculate r.
-1/3, 1, 5, 16
What is a in -2*a**4/17 + 1264*a**3/17 - 203468*a**2/17 + 1186896*a/17 - 1763442/17 = 0?
3, 313
Find n such that 224*n**5 - 1028*n**4 - 676*n**3 + 988*n**2 + 452*n + 40 = 0.
-1, -2/7, -1/8, 1, 5
Factor -2*o**4/7 + 48*o**3/7 - 160*o**2/7.
-2*o**2*(o - 20)*(o - 4)/7
Determine n so that 2*n**5/3 - 70*n**4/3 + 133*n**3/6 + 53*n**2/3 - 137*n/6 + 17/3 = 0.
-1, 1/2, 1, 34
Let -3*g**3/5 - 216*g**2/5 - 3159*g/5 - 13122/5 = 0. Calculate g.
-54, -9
Find t such that t**5/5 + t**4/5 - 4*t**3/5 - 4*t**2/5 = 0.
-2, -1, 0, 2
Factor -h**3/3 - 433*h**2/3 + h/3 + 433/3.
-(h - 1)*(h + 1)*(h + 433)/3
Suppose -14*a**4/9 + 158*a**3/9 - 178*a**2/3 + 490*a/9 - 100/9 = 0. Calculate a.
2/7, 1, 5
Let -d**4 + 26*d**3 + 61*d**2 - 134*d - 168 = 0. Calculate d.
-3, -1, 2, 28
Factor 16*s**2 - 11276*s - 2820.
4*(s 