+ 11)/3
Determine h, given that 30*h**4 - 608*h**3 - 1118*h**2 - 568*h - 88 = 0.
-1, -2/5, -1/3, 22
Factor 2*z**3/5 - 156*z**2/5 - 326*z/5 + 96.
2*(z - 80)*(z - 1)*(z + 3)/5
Find t, given that -16*t**4 + 44*t**3 + 12*t**2 = 0.
-1/4, 0, 3
Factor -b**4/2 + 2*b**3 + 3*b**2/2 - 7*b + 4.
-(b - 4)*(b - 1)**2*(b + 2)/2
Find g such that 2*g**5/15 - 242*g**4/15 + 6944*g**3/15 + 23056*g**2/15 + 992*g/15 - 30752/15 = 0.
-2, 1, 62
Suppose -3*a**5/2 - 36*a**4 - 96*a**3 - 27*a**2 + 195*a/2 + 63 = 0. What is a?
-21, -2, -1, 1
Factor 9*t**4 + 15*t**3 - 36*t**2 - 60*t.
3*t*(t - 2)*(t + 2)*(3*t + 5)
Find m, given that 10*m**3/3 - 7538*m**2/3 + 1419782*m/3 + 284258/3 = 0.
-1/5, 377
Factor 2*l**5 - 12*l**4 - 16*l**3 + 12*l**2 + 14*l.
2*l*(l - 7)*(l - 1)*(l + 1)**2
Factor -4*g**3 + 44*g**2 - 32*g - 80.
-4*(g - 10)*(g - 2)*(g + 1)
Factor -g**5 - 131*g**4 - 4224*g**3 + 4356*g**2.
-g**2*(g - 1)*(g + 66)**2
Solve 2*m**2 + 272*m - 274 = 0.
-137, 1
Factor c**2 + 66*c + 1089.
(c + 33)**2
Solve m**2/2 + 27*m/2 - 119 = 0 for m.
-34, 7
Factor 3*t**4/8 + 3*t**3/8 - 9*t**2/4 - 3*t/2 + 3.
3*(t - 2)*(t - 1)*(t + 2)**2/8
Factor 2*p**2 - 248*p + 246.
2*(p - 123)*(p - 1)
Determine z so that 2*z**3/5 - 18*z**2 + 958*z/5 - 174 = 0.
1, 15, 29
Factor -r**2/2 + 1068*r - 570312.
-(r - 1068)**2/2
Find u, given that 3*u**3/5 - 13*u**2/5 + 16*u/5 - 4/5 = 0.
1/3, 2
Find z, given that 5*z**4 + 340*z**3 - 695*z**2 + 350*z = 0.
-70, 0, 1
Factor -3*h**2/2 - 1806*h - 543606.
-3*(h + 602)**2/2
Factor -3*r**2/2 - 6*r + 18.
-3*(r - 2)*(r + 6)/2
Factor 28*j**2 - 636*j - 184.
4*(j - 23)*(7*j + 2)
Let -2*n**2/21 + 374*n/21 + 1528/21 = 0. Calculate n.
-4, 191
Determine j so that 10*j**2 - 2305*j + 4570 = 0.
2, 457/2
Solve -3*p**5 + 36*p**3 - 48*p**2 = 0.
-4, 0, 2
Find l, given that -2*l**4 + 220*l**3/3 - 598*l**2 + 1100*l/3 = 0.
0, 2/3, 11, 25
Solve o**5/4 + 5*o**4/4 - o**3/4 - 5*o**2/4 = 0.
-5, -1, 0, 1
Determine s so that 5*s**4 - 15*s**3 + 10*s**2 = 0.
0, 1, 2
Suppose 10*r**5/13 + 216*r**4/13 + 502*r**3/13 + 144*r**2/13 - 152*r/13 = 0. Calculate r.
-19, -2, -1, 0, 2/5
Determine d so that 3*d**2/8 - 15*d/8 = 0.
0, 5
Find h such that -6*h**4/5 - 108*h**3 - 13182*h**2/5 - 9288*h - 44376/5 = 0.
-43, -2
Factor 4*g**2 + 32*g - 80.
4*(g - 2)*(g + 10)
Factor -4*w**3 - 16*w**2 - 12*w.
-4*w*(w + 1)*(w + 3)
Factor 2*o**4/5 - 12*o**3/5 - 14*o**2/5 + 24*o.
2*o*(o - 5)*(o - 4)*(o + 3)/5
Factor 98*c**3 - 1400*c**2 + 394*c - 28.
2*(c - 14)*(7*c - 1)**2
Determine p, given that -9*p**4 - 39*p**3 + 447*p**2 + 639*p + 162 = 0.
-9, -1, -1/3, 6
Solve -3*q**5/8 + 63*q**4/8 - 141*q**3/4 - 351*q**2/4 + 2013*q/8 - 1089/8 = 0.
-3, 1, 11
Find a, given that -2*a**2/5 + 1756*a/5 = 0.
0, 878
What is w in -2*w**4 + 20*w**3 - 62*w**2 + 60*w = 0?
0, 2, 3, 5
Suppose o**4/2 + 15*o**3 + 225*o**2/2 = 0. Calculate o.
-15, 0
Factor -b**5/6 - 23*b**4/2 - 45*b**3/2 - 67*b**2/6.
-b**2*(b + 1)**2*(b + 67)/6
Factor 2*k**2 - 20*k - 150.
2*(k - 15)*(k + 5)
Factor 4*b**2/3 + 64*b/3 - 320/3.
4*(b - 4)*(b + 20)/3
Find m such that -5*m**4/4 - 85*m**3/4 - 455*m**2/4 - 735*m/4 = 0.
-7, -3, 0
Factor r**3/4 + 11*r**2/2 + 101*r/4 + 20.
(r + 1)*(r + 5)*(r + 16)/4
Suppose 21*r**4 + 111*r**3 + 198*r**2 + 132*r + 24 = 0. Calculate r.
-2, -1, -2/7
Suppose 28*s**2/3 - 2056*s + 1760/3 = 0. What is s?
2/7, 220
Determine m so that -m**5 - 7*m**4 - 12*m**3 + 16*m**2 + 64*m + 48 = 0.
-3, -2, 2
Solve -3*g**3 + 6*g**2 + 12*g - 24 = 0.
-2, 2
Suppose -484*q**3 + 88*q**2 + 1360*q + 800 = 0. Calculate q.
-10/11, 2
Factor -h**3 - 1722*h**2 - 988428*h - 189119224.
-(h + 574)**3
Factor 2*l**3/7 - 22*l**2/7 - 24*l/7.
2*l*(l - 12)*(l + 1)/7
Factor -3*h**3 + 129*h**2.
-3*h**2*(h - 43)
Find r such that 5*r**4 - 1585*r**3 + 4690*r**2 + 6280*r = 0.
-1, 0, 4, 314
Factor -18*s**2/7 - 4576*s/7 - 1016/7.
-2*(s + 254)*(9*s + 2)/7
Factor q**2/8 - 74*q + 591/8.
(q - 591)*(q - 1)/8
Suppose -3*w**3 + 108*w**2 + 3*w - 108 = 0. What is w?
-1, 1, 36
Find d, given that d**4/9 + 53*d**3/9 - 118*d**2/3 = 0.
-59, 0, 6
Factor b**3/4 - 9*b**2/4 + 15*b/4 - 7/4.
(b - 7)*(b - 1)**2/4
Factor s**4/11 - 24*s**3/11 - 56*s**2/11 + 96*s/11 + 208/11.
(s - 26)*(s - 2)*(s + 2)**2/11
Factor -2*o**2 + 1064*o + 5370.
-2*(o - 537)*(o + 5)
Factor 2*c**2 - 25508*c + 81332258.
2*(c - 6377)**2
Factor 2*j**3/9 + 868*j**2/9 - 1742*j/9 + 872/9.
2*(j - 1)**2*(j + 436)/9
Factor -4*y**2 + 1280*y - 1276.
-4*(y - 319)*(y - 1)
Factor a**4/5 + 161*a**3/5 - 3*a**2/5 - 481*a/5 + 322/5.
(a - 1)**2*(a + 2)*(a + 161)/5
Find f, given that -f**2/5 - 1458*f/5 - 1457/5 = 0.
-1457, -1
Factor 3*t**3 - 210*t**2 - 3*t + 210.
3*(t - 70)*(t - 1)*(t + 1)
Solve 4*m**3/7 + 12*m**2 + 396*m/7 - 484/7 = 0.
-11, 1
Solve b**5/3 - 54*b**4 + 9758*b**3/3 - 255512*b**2/3 + 758131*b + 5651522/3 = 0 for b.
-2, 41
Factor v**3/3 - 8*v**2/3.
v**2*(v - 8)/3
Factor 2*l**3 - 726*l**2 + 1446*l - 722.
2*(l - 361)*(l - 1)**2
Find h such that h**3/4 - 15*h**2/2 - 33*h/4 + 31/2 = 0.
-2, 1, 31
Determine i so that 2*i**3/7 + 114*i**2/7 + 76*i + 624/7 = 0.
-52, -3, -2
Factor -c**2/3 + 32*c/3 - 112/3.
-(c - 28)*(c - 4)/3
Determine y so that -y**3/7 + 2*y**2/7 + 5*y/7 - 6/7 = 0.
-2, 1, 3
Factor -q**5/2 - 9*q**4/2 - 15*q**3/2 + 25*q**2/2.
-q**2*(q - 1)*(q + 5)**2/2
Factor t**2/11 - 18*t/11 + 56/11.
(t - 14)*(t - 4)/11
Find c, given that c**5 - 14*c**4 + 35*c**3 - 22*c**2 = 0.
0, 1, 2, 11
Factor -5*s**4 + 10*s**3 + 60*s**2 - 200*s + 160.
-5*(s - 2)**3*(s + 4)
Factor a**4/6 - 61*a**3/2 + 2054*a**2 - 179816*a/3 + 632736.
(a - 52)**3*(a - 27)/6
Factor -4*w**2 - 152*w.
-4*w*(w + 38)
Let a**4/4 - 15*a**3 + 419*a**2/2 + 465*a + 961/4 = 0. Calculate a.
-1, 31
Find c such that 3*c**4/7 - 8016*c**3/7 + 24030*c**2/7 - 3432*c + 8007/7 = 0.
1, 2669
Factor -2*s**2/5 - 34*s/5 + 36/5.
-2*(s - 1)*(s + 18)/5
Factor -f**4/6 - 13*f**3/3 - 4*f**2 + 13*f/3 + 25/6.
-(f - 1)*(f + 1)**2*(f + 25)/6
Factor 2*k**4/17 - 52*k**3/17 + 258*k**2/17 - 360*k/17.
2*k*(k - 20)*(k - 3)**2/17
Let -j**4 - 14*j**3 - 24*j**2 + 256*j + 512 = 0. What is j?
-8, -2, 4
What is h in -9*h**4 - 57*h**3 - 99*h**2 - 63*h - 12 = 0?
-4, -1, -1/3
Factor 186245*p**2 - 1930*p + 5.
5*(193*p - 1)**2
Solve 3*h**5/8 + 9*h**4/4 + 15*h**3/8 - 9*h**2/2 = 0.
-4, -3, 0, 1
Factor -k**5/7 - 2*k**4/7.
-k**4*(k + 2)/7
Factor u**3/7 - 8*u**2 + 155*u/7 + 212/7.
(u - 53)*(u - 4)*(u + 1)/7
Determine s so that -12*s**4/5 - 104*s**3/5 - 288*s**2/5 - 216*s/5 + 108/5 = 0.
-3, 1/3
Factor -g**3/2 + 8*g**2 + 24*g - 576.
-(g - 12)**2*(g + 8)/2
Solve -2*z**5/9 + 274*z**4/9 + 124*z**3 + 1684*z**2/9 + 1126*z/9 + 94/3 = 0 for z.
-1, 141
Factor -2*u**3/9 - 256*u**2/9 + 782*u/9 - 524/9.
-2*(u - 2)*(u - 1)*(u + 131)/9
What is n in -6*n**5/13 - 34*n**4/13 - 2*n**3 + 122*n**2/13 + 192*n/13 + 72/13 = 0?
-3, -1, -2/3, 2
Factor g**2 - 18*g + 65.
(g - 13)*(g - 5)
Determine x so that -x**5/6 + 14*x**4/3 + 41*x**3/2 + 79*x**2/3 + 32*x/3 = 0.
-2, -1, 0, 32
Suppose 3*q**2 - 246*q = 0. Calculate q.
0, 82
Factor 3*r**3/4 + 21*r**2/4 + 45*r/4 + 27/4.
3*(r + 1)*(r + 3)**2/4
What is z in -z**4 - 25*z**3 - 47*z**2 - 23*z = 0?
-23, -1, 0
Find p such that -3*p**3 - 9*p**2 + 30*p = 0.
-5, 0, 2
Determine m so that -2*m**3/11 - 378*m**2/11 - 372*m/11 + 752/11 = 0.
-188, -2, 1
Find c, given that -4*c**5 - 52*c**4 + 4*c**3 + 52*c**2 = 0.
-13, -1, 0, 1
Factor 2*p**3/13 - 66*p**2/13 + 184*p/13 - 120/13.
2*(p - 30)*(p - 2)*(p - 1)/13
Factor -3*b**3 - 612*b**2 - 603*b + 1218.
-3*(b - 1)*(b + 2)*(b + 203)
Solve 98*j**5/5 + 56*j**4 - 1858*j**3/5 - 1568*j**2 - 1960*j - 800 = 0.
-4, -10/7, -1, 5
Determine r, given that -9*r**3 + 6*r**2 + 9*r - 6 = 0.
-1, 2/3, 1
Factor -2*p**5/17 + 506*p**4/17 - 2520*p**3 + 1227744*p**2/17 - 1185408*p/17.
-2*p*(p - 84)**3*(p - 1)/17
Factor t**2 - 5*t + 6.
(t - 3)*(t - 2)
Let -b**5/11 - 12*b**4/11 - 50*b**3/11 - 72*b**2/11 + 27*b/11 + 108/11 = 0. Calculate b.
-4, -3, 1
Solve -13*b**5 - 262*b**4 - 1327*b**3 + 62*b**2 + 1340*b + 200 = 0.
-10, -1, -2/13, 1
Solve -2*b**2/3 - 2088*b - 1634904 = 0.
-1566
Find p such that -p**3 + 654*p**2 - 104940*p - 653400 = 0.
-6, 330
Factor 2*o**2/7 + 408*o/7 + 58.
2*(o + 1)*(o + 203)/7
What is h in 5*h**5 - 70*h**4 + 160*h**3 + 640*h**2 = 0?
-2, 0, 8
Factor -4*r**2 - 7016*r - 3076516.
-4*(r + 877)**2
Determine w, given that 5*w**2 + 270*w + 265 = 0.
-53, -1
Suppose 4*g**2 + 304*g - 308 = 0. What is g?
-77, 1
Determine c, 