*d**4/5 + 84*d**3/5 - 93*d**2/5 - 174*d/5 = 0.
-29, -1, 0, 2
Solve -2*i**4/13 + 62*i**3/13 = 0 for i.
0, 31
Factor -l**5/6 + 13*l**4/6 - 9*l**3 + 47*l**2/3 - 73*l/6 + 7/2.
-(l - 7)*(l - 3)*(l - 1)**3/6
Factor -l**3 - 11*l**2.
-l**2*(l + 11)
Factor 4*x**2 + 384*x + 380.
4*(x + 1)*(x + 95)
Factor -5*y**4 - 55*y**3 + 590*y**2 - 800*y - 1440.
-5*(y - 4)**2*(y + 1)*(y + 18)
Suppose -7*a**4/2 + 8*a**3 - 11*a**2/2 + a = 0. Calculate a.
0, 2/7, 1
Suppose -h**5/2 - 2*h**4 + 3*h**3 + 2*h**2 - 5*h/2 = 0. What is h?
-5, -1, 0, 1
Factor 4*o**4 + 17*o**3 - 16*o**2 - 5*o.
o*(o - 1)*(o + 5)*(4*o + 1)
Factor 3*q**2 + 105*q - 468.
3*(q - 4)*(q + 39)
Factor -x**2 + 74*x - 1369.
-(x - 37)**2
Factor 2*d**2/7 + 24*d/7 + 22/7.
2*(d + 1)*(d + 11)/7
Solve 4*y**5 + 40*y**4 - 96*y**3 + 8*y**2 + 92*y - 48 = 0 for y.
-12, -1, 1
What is v in 5*v**5 - 740*v**4 + 720*v**3 + 2230*v**2 - 3685*v + 1470 = 0?
-2, 1, 147
Find r such that r**2 - 53*r + 696 = 0.
24, 29
Solve -2*x**5/3 + 392*x**4/3 - 18410*x**3/3 - 78004*x**2/3 - 99200*x/3 - 40000/3 = 0.
-2, -1, 100
Factor -2*u**4/7 - 2532*u**3/7 - 806426*u**2/7 - 3195384*u/7 - 3185288/7.
-2*(u + 2)**2*(u + 631)**2/7
Solve 4*p**2/5 - 32*p/5 + 48/5 = 0.
2, 6
Let 3*t**5 - 66*t**4 + 273*t**3 - 306*t**2 = 0. Calculate t.
0, 2, 3, 17
Determine s, given that 2*s**3/15 - 164*s**2/5 + 98*s/3 = 0.
0, 1, 245
Factor -3*p**4 + 75*p**3 - 609*p**2 + 1617*p.
-3*p*(p - 11)*(p - 7)**2
Suppose 3*j**5/7 - 3*j**4 - 3*j**3/7 + 3*j**2 = 0. What is j?
-1, 0, 1, 7
Factor h**3/11 - 32*h**2/11 + 20*h.
h*(h - 22)*(h - 10)/11
Determine p so that 2*p**3 - 8*p**2 - 24*p = 0.
-2, 0, 6
Determine a, given that 2*a**2/5 - 6*a/5 = 0.
0, 3
Factor -4*m**4 - 4864*m**3 - 2217984*m**2 - 449511424*m - 34162868224.
-4*(m + 304)**4
Factor -f**2/7 - 4*f/7.
-f*(f + 4)/7
Factor -3*a**2 + 57*a - 264.
-3*(a - 11)*(a - 8)
Let 5*y**5 - 130*y**4 + 830*y**3 + 380*y**2 - 2275*y - 1690 = 0. Calculate y.
-1, 2, 13
Suppose 2*z**4/5 + 8*z**3 + 72*z**2/5 = 0. Calculate z.
-18, -2, 0
Factor -75*f**5/4 + 435*f**4/2 - 3243*f**3/4 + 849*f**2 + 444*f + 48.
-3*(f - 4)**3*(5*f + 1)**2/4
Let -v**2/4 + 2927*v/4 = 0. Calculate v.
0, 2927
Suppose -w**2/2 + 20*w + 88 = 0. Calculate w.
-4, 44
Factor 6*k**2 - 3057*k + 1527.
3*(k - 509)*(2*k - 1)
Factor q**5/2 + 5*q**4/2 + 3*q**3 - 2*q**2 - 4*q.
q*(q - 1)*(q + 2)**3/2
Suppose -2*x**2 + 5014*x - 5012 = 0. Calculate x.
1, 2506
Factor -2*k**3/7 + 388*k**2/7 - 768*k/7.
-2*k*(k - 192)*(k - 2)/7
What is w in -w**3/2 + 2*w**2 + w/2 - 2 = 0?
-1, 1, 4
Let 4*x**2/3 - 416*x/3 + 10816/3 = 0. Calculate x.
52
Factor 4*d**4 + 28*d**3 + 24*d**2 - 128*d - 128.
4*(d - 2)*(d + 1)*(d + 4)**2
Factor 4*y**2 - 1496*y + 139876.
4*(y - 187)**2
What is p in -3*p**4/7 - 174*p**3/7 - 1623*p**2/7 - 468*p + 5076/7 = 0?
-47, -6, 1
Let 4*u**3 - 64*u**2 + 116*u - 56 = 0. Calculate u.
1, 14
Factor 3*z**4/5 - 12*z**3 + 432*z**2/5 - 1296*z/5 + 1296/5.
3*(z - 6)**3*(z - 2)/5
Suppose y**2 + 876*y - 877 = 0. Calculate y.
-877, 1
Suppose -4*o**3/3 + 5*o**2 - 17*o/3 + 2 = 0. Calculate o.
3/4, 1, 2
Factor 3*o**4 + 6*o**3 - 9*o**2 - 12*o + 12.
3*(o - 1)**2*(o + 2)**2
Factor 75*v**2 - 420*v + 588.
3*(5*v - 14)**2
Factor 4*p**5 - 8*p**4 - 12*p**3 + 16*p**2 + 16*p.
4*p*(p - 2)**2*(p + 1)**2
Suppose 4*g**2/7 - 76*g/7 + 72/7 = 0. Calculate g.
1, 18
Factor 5*u**2 - 430*u + 9245.
5*(u - 43)**2
Solve 3*l**3/7 + 561*l**2/7 + 13653*l/7 - 184815 = 0.
-111, 35
Factor u**4/2 + 47*u**3/2 + 360*u**2 + 1664*u - 2048.
(u - 1)*(u + 16)**3/2
Let g**5/5 - 12*g**4/5 - 96*g**3/5 - 208*g**2/5 - 144*g/5 = 0. Calculate g.
-2, 0, 18
Find h, given that 134*h**2 + 2408*h/3 - 8 = 0.
-6, 2/201
Factor -5*l**2 + 125*l + 7420.
-5*(l - 53)*(l + 28)
Factor 3*j**3 + 171*j**2 - 1512*j + 3120.
3*(j - 4)**2*(j + 65)
Determine b so that -5*b**2 - 15500*b - 12012500 = 0.
-1550
Factor -2*k**5 + 10*k**4 - 18*k**3 + 14*k**2 - 4*k.
-2*k*(k - 2)*(k - 1)**3
Factor -2*t**2 - 5644*t - 3981842.
-2*(t + 1411)**2
Solve 2*d**4/17 + 3816*d**3/17 - 3820*d**2/17 - 3816*d/17 + 3818/17 = 0 for d.
-1909, -1, 1
Find t, given that -t**5/6 - t**4/3 + t**3/2 + 4*t**2/3 + 2*t/3 = 0.
-2, -1, 0, 2
Determine i so that 2*i**4 + 385*i**3 + 1330*i**2 + 1325*i + 378 = 0.
-189, -2, -1, -1/2
Factor -2*c**3/7 - 1086*c**2/7 + 2*c/7 + 1086/7.
-2*(c - 1)*(c + 1)*(c + 543)/7
Solve -o**4 + 294*o**3 - 293*o**2 = 0.
0, 1, 293
Solve 4*s**3 + 348*s**2 + 668*s - 1020 = 0.
-85, -3, 1
Determine z, given that z**3/7 - 12*z**2/7 + 11*z/7 = 0.
0, 1, 11
Find x, given that x**2/8 - 37*x/4 + 1369/8 = 0.
37
Suppose 2*z**4/5 - 10*z**3 + 364*z**2/5 - 1024*z/5 + 192 = 0. Calculate z.
2, 4, 15
What is u in u**2/7 + 1114*u/7 + 159 = 0?
-1113, -1
Factor -4*r**2 - 122*r - 588.
-2*(r + 6)*(2*r + 49)
Factor -3*b**3 + 51*b**2 - 240*b + 192.
-3*(b - 8)**2*(b - 1)
What is x in x**3 - 40*x**2 + 532*x - 2352 = 0?
12, 14
Factor g**2 + 7*g - 18.
(g - 2)*(g + 9)
Find v such that 4*v**4 - 8*v**3 - 32*v**2 + 72*v - 36 = 0.
-3, 1, 3
Factor 4*p**2 - 12*p + 8.
4*(p - 2)*(p - 1)
Factor b**4/2 + 27*b**3 - 28*b**2 - 27*b + 55/2.
(b - 1)**2*(b + 1)*(b + 55)/2
Let 4*n**2 - 3852*n + 3848 = 0. Calculate n.
1, 962
Let a**4 - 2*a**3 - 3*a**2 + 8*a - 4 = 0. What is a?
-2, 1, 2
Factor -i**5/2 - 278*i**4 - 51890*i**3 - 3318992*i**2 - 12662144*i - 12459008.
-(i + 2)**2*(i + 184)**3/2
Find b, given that b**2/4 - 2973*b/2 + 8838729/4 = 0.
2973
Determine g, given that -2*g**3/3 + 40*g**2/3 - 22*g - 36 = 0.
-1, 3, 18
Suppose -14*c**2 + 94*c + 288 = 0. What is c?
-16/7, 9
Find f such that 80*f**5 - 680*f**4 + 845*f**3 + 2555*f**2 + 1075*f + 125 = 0.
-1, -1/4, 5
Factor -3*g**3 - 9471*g**2 + 18951*g - 9477.
-3*(g - 1)**2*(g + 3159)
Factor 2*z**3/3 + 14*z**2/3 + 8*z.
2*z*(z + 3)*(z + 4)/3
Find c, given that -2*c**4 + 252*c**3 + 2*c**2 - 252*c = 0.
-1, 0, 1, 126
Determine v, given that -4*v**5/5 - 24*v**4/5 - 36*v**3/5 - 16*v**2/5 = 0.
-4, -1, 0
Determine q so that -q**2/2 - 9*q/2 + 693 = 0.
-42, 33
Factor -5*r**2 + 2060*r + 12540.
-5*(r - 418)*(r + 6)
Solve -f**3 - 2*f**2 + 13*f - 10 = 0.
-5, 1, 2
Factor 2*w**4/3 - 8*w**3/3 - 28*w**2 + 440*w/3 - 350/3.
2*(w - 5)**2*(w - 1)*(w + 7)/3
Determine l so that -2*l**3 + 124*l**2 - 1152*l - 25920 = 0.
-10, 36
Determine o so that -10*o**4/3 + 1538*o**3/9 + 2780*o**2/9 - 1256*o/9 - 848/9 = 0.
-2, -2/5, 2/3, 53
Let -j**5/4 + 10*j**4 + 43*j**3/4 - 41*j**2/2 = 0. Calculate j.
-2, 0, 1, 41
Factor -3*p**2 - 660*p + 663.
-3*(p - 1)*(p + 221)
Suppose -z**2 + 6*z - 9 = 0. Calculate z.
3
Factor 2*c**3/17 - 10*c**2/17 - 112*c/17 + 120/17.
2*(c - 10)*(c - 1)*(c + 6)/17
Determine i so that -24*i**4 - 292*i**3 - 912*i**2 - 912*i - 128 = 0.
-8, -2, -1/6
What is h in 4*h**5 - 16*h**4 + 12*h**3 + 16*h**2 - 16*h = 0?
-1, 0, 1, 2
Suppose -2*p**5/3 + 40*p**4/9 - 6*p**3 - 52*p**2/9 + 16*p/3 = 0. What is p?
-1, 0, 2/3, 3, 4
Solve -2*o**2/5 + 362*o/5 = 0.
0, 181
Find g, given that 2*g**3/9 + 26*g**2/9 + 100*g/9 + 112/9 = 0.
-7, -4, -2
Solve -3*m**4 + 12*m**3 + 48*m**2 - 192*m = 0 for m.
-4, 0, 4
Factor -5*m**3 + 115*m**2 + 150*m - 720.
-5*(m - 24)*(m - 2)*(m + 3)
Factor 2*t**4 + 52*t**3 - 58*t**2 - 108*t.
2*t*(t - 2)*(t + 1)*(t + 27)
Find o, given that -o**4 + 73*o**3/3 - 125*o**2 - 299*o + 338/3 = 0.
-2, 1/3, 13
Suppose 2*m**3 + 6*m**2 + 6*m + 2 = 0. What is m?
-1
Factor -3*s**3 - 24*s**2 + 159*s + 180.
-3*(s - 5)*(s + 1)*(s + 12)
Factor 4*a**2 - 92*a + 240.
4*(a - 20)*(a - 3)
Find g, given that -1875*g**2 + 450*g - 27 = 0.
3/25
Suppose 6*j**4 - 8*j**3 - 86*j**2 - 112*j - 40 = 0. What is j?
-2, -1, -2/3, 5
Factor 29*q**2/8 + 27*q/8 - 1/4.
(q + 1)*(29*q - 2)/8
Solve -54*y**3/17 - 14*y**2/17 = 0.
-7/27, 0
Factor -9*x**3 - 3390*x**2 - 320352*x - 212064.
-3*(x + 188)**2*(3*x + 2)
Factor -4*w**4 - 7116*w**3 - 21324*w**2 - 21316*w - 7104.
-4*(w + 1)**3*(w + 1776)
Solve 3*t**3/4 + 21*t**2/2 + 171*t/4 + 54 = 0.
-8, -3
Factor 14*h**2/11 - 33358*h/11 - 9532/11.
2*(h - 2383)*(7*h + 2)/11
Factor 3*p**2 - 30*p.
3*p*(p - 10)
What is b in -b**2 + 2758*b - 1901641 = 0?
1379
Determine k so that -3*k**4 + 111*k**3 + 477*k**2 + 609*k + 246 = 0.
-2, -1, 41
Factor h**2/2 + 7*h + 12.
(h + 2)*(h + 12)/2
Factor 32*f**3/5 + 36*f**2/5.
4*f**2*(8*f + 9)/5
Find s such that 4*s**4 + 68*s**3 + 420*s**2 + 1100*s + 1000 = 0.
-5, -2
Factor 5*g**2 - 125*g + 120.
5*(g - 24)*(g - 1)
Suppose 3*p**4 - 19272*p**3 + 30950832*p**2 = 0. What is p?
