m + 1)*(m + 11)
Find d such that d**2/3 - 31*d/6 + 5/2 = 0.
1/2, 15
Find w, given that 10*w**5 - 136*w**4 - 536*w**3 - 692*w**2 - 370*w - 68 = 0.
-1, -2/5, 17
Determine z so that -4*z**4 + 84*z**3 + 88*z**2 = 0.
-1, 0, 22
Suppose 4*j**5 - 60*j**4 + 148*j**3 - 36*j**2 - 152*j + 96 = 0. What is j?
-1, 1, 2, 12
Determine s, given that -2*s**2 + 54*s - 100 = 0.
2, 25
Find q, given that -3*q**4 + 18*q**3 + 24*q**2 - 18*q - 21 = 0.
-1, 1, 7
Let 1325*l**3/6 + 1865*l**2/6 + 272*l/3 + 2/3 = 0. Calculate l.
-1, -2/5, -2/265
Factor -3*l**4/4 + 57*l**3/4 - 51*l**2/2.
-3*l**2*(l - 17)*(l - 2)/4
Solve 3*p**5 - 42*p**4 - 21*p**3 + 276*p**2 + 252*p = 0.
-2, -1, 0, 3, 14
Solve 4*b**3/3 + 1284*b**2 + 412164*b + 44101548 = 0.
-321
Factor -2*u**4 - 6*u**3 + 8*u**2 + 24*u.
-2*u*(u - 2)*(u + 2)*(u + 3)
Let 4*t**3/5 + 424*t**2/5 - 1348*t/5 - 872 = 0. Calculate t.
-109, -2, 5
Factor -3*h**5/5 - 24*h**4/5 + 57*h**3/5 - 6*h**2.
-3*h**2*(h - 1)**2*(h + 10)/5
Factor 5*u**5 - 15*u**4 + 5*u**3 + 15*u**2 - 10*u.
5*u*(u - 2)*(u - 1)**2*(u + 1)
Factor 2*x**2/11 + 52*x/11 - 384/11.
2*(x - 6)*(x + 32)/11
Determine p, given that 48*p**4 - 236*p**3 - 56*p**2 + 188*p - 40 = 0.
-1, 1/4, 2/3, 5
Factor -n**2/4 + 2467*n/2 + 4935/4.
-(n - 4935)*(n + 1)/4
Suppose -3*y**5 + 51*y**4 + 171*y**3 + 177*y**2 + 60*y = 0. Calculate y.
-1, 0, 20
Factor v**2/3 - 122*v/3 + 3721/3.
(v - 61)**2/3
Factor w**3/2 - 19*w**2/2 - 11*w + 20.
(w - 20)*(w - 1)*(w + 2)/2
Factor -5*m**2 + 5*m + 30.
-5*(m - 3)*(m + 2)
Factor m**3/3 - 7*m**2/3 + 7*m/3 + 5.
(m - 5)*(m - 3)*(m + 1)/3
Factor 18*v**2 - 338*v - 76.
2*(v - 19)*(9*v + 2)
Determine o so that 3*o**2 + 81*o = 0.
-27, 0
Determine d, given that -8*d**5/19 + 46*d**4/19 - 84*d**3/19 + 56*d**2/19 - 4*d/19 - 6/19 = 0.
-1/4, 1, 3
Suppose 2*a**4 + 2700*a**3 + 8088*a**2 + 8084*a + 2694 = 0. Calculate a.
-1347, -1
Solve 3*h**5/7 - 30*h**4/7 + 15*h**3 - 150*h**2/7 + 72*h/7 = 0 for h.
0, 1, 2, 3, 4
Let 2*a**4/7 + 38*a**3/7 + 174*a**2/7 + 242*a/7 + 104/7 = 0. Calculate a.
-13, -4, -1
Solve z**4 + 133*z**3 - 134*z**2 = 0.
-134, 0, 1
Solve 5*r**3/3 - 2*r**2 + r/3 = 0.
0, 1/5, 1
Factor -m**4 + 241*m**3 - 239*m**2 - 241*m + 240.
-(m - 240)*(m - 1)**2*(m + 1)
Suppose -x**3/7 + 11*x**2/7 + 612*x/7 - 180 = 0. What is x?
-21, 2, 30
Determine z so that -2*z**5/11 - 50*z**4/11 - 156*z**3/11 + 2052*z**2/11 - 1890*z/11 - 4050/11 = 0.
-15, -1, 3
Factor 6*n**3/5 - 22*n**2/5 + 12*n/5.
2*n*(n - 3)*(3*n - 2)/5
Find z, given that -4*z**4/7 + 16*z**3/7 + 4*z**2/7 - 16*z/7 = 0.
-1, 0, 1, 4
Determine k, given that -10*k**4 - 115*k**3/3 - 130*k**2/3 - 35*k/3 + 10/3 = 0.
-2, -1, 1/6
Find f such that 2*f**4/13 - 32*f**3/13 + 180*f**2/13 - 400*f/13 + 250/13 = 0.
1, 5
Factor 2*a**3/5 + 22*a**2/5 - 2*a/5 - 22/5.
2*(a - 1)*(a + 1)*(a + 11)/5
Factor -4*w**4 - 20*w**3 - 28*w**2 - 12*w.
-4*w*(w + 1)**2*(w + 3)
Factor 2*k**5/7 + 16*k**4/7 + 26*k**3/7 + 12*k**2/7.
2*k**2*(k + 1)**2*(k + 6)/7
Factor 2*u**2/3 + 4*u.
2*u*(u + 6)/3
Determine i so that -12*i**2 - 68*i - 80 = 0.
-4, -5/3
Let 2*t**3/3 - 326*t**2/3 - 1328*t/3 - 1336/3 = 0. Calculate t.
-2, 167
Solve -z**5 + 142*z**4 - 5317*z**3 + 19596*z**2 - 19044*z = 0 for z.
0, 2, 69
Solve 4*n**4/7 + 48*n**3/7 - 72*n**2/7 - 272*n/7 - 156/7 = 0 for n.
-13, -1, 3
Suppose -16*y**5 - 120*y**4 - 281*y**3 - 246*y**2 - 72*y = 0. What is y?
-4, -2, -3/4, 0
Factor a**4/3 + 6*a**3 + 121*a**2/3 + 120*a + 400/3.
(a + 4)**2*(a + 5)**2/3
Solve 6*o**2/11 - 1784*o/11 - 2990/11 = 0 for o.
-5/3, 299
Factor 5*d**3 - 60*d**2 + 220*d - 240.
5*(d - 6)*(d - 4)*(d - 2)
Find h, given that -h**5 - 235*h**4 - 14152*h**3 - 40364*h**2 + 928*h + 53824 = 0.
-116, -2, 1
Factor 15*x**3 + 215*x**2 + 265*x + 65.
5*(x + 1)*(x + 13)*(3*x + 1)
Factor 4*s**2 - 200*s + 900.
4*(s - 45)*(s - 5)
Determine r so that -25*r**5 - 415*r**4 - 880*r**3 + 6920*r**2 - 7600*r + 2000 = 0.
-10, 2/5, 1, 2
Factor -5*w**4 - 170*w**3 - 625*w**2 - 760*w - 300.
-5*(w + 1)**2*(w + 2)*(w + 30)
Factor 3*z**2/2 + 44*z - 30.
(z + 30)*(3*z - 2)/2
Factor 3*i**3/4 - 81*i**2/2 + 2187*i/4.
3*i*(i - 27)**2/4
Factor -n**4/4 + 57*n**3/4 - 555*n**2/2 + 2275*n - 6750.
-(n - 27)*(n - 10)**3/4
Suppose -80*m**5 - 40*m**4 + 115*m**3 + 30*m**2 - 45*m = 0. What is m?
-1, 0, 3/4
Solve r**3 + 105*r**2 + 1800*r - 54000 = 0 for r.
-60, 15
Factor -3*y**4 - 69*y**3 - 426*y**2 - 360*y.
-3*y*(y + 1)*(y + 10)*(y + 12)
Suppose 25*c**5 - 690*c**4 + 6245*c**3 - 17640*c**2 - 8100*c = 0. Calculate c.
-2/5, 0, 9, 10
Suppose -72*f**5 + 1200*f**4 - 5282*f**3 + 2674*f**2 + 1354*f + 126 = 0. Calculate f.
-1/6, 1, 7, 9
Factor j**2/6 + j/6 - 1/3.
(j - 1)*(j + 2)/6
Let -4*f**3 + 460*f**2 - 9100*f - 253500 = 0. What is f?
-15, 65
Solve 5*a**2 - 175*a + 1500 = 0.
15, 20
Factor 5*j**2 + 15*j - 650.
5*(j - 10)*(j + 13)
Solve -2*t**4 + 14*t**3 - 10*t**2 - 14*t + 12 = 0.
-1, 1, 6
Factor -2*d**3/3 + 62*d**2/3 + 904*d/3 + 280.
-2*(d - 42)*(d + 1)*(d + 10)/3
Determine m, given that -3*m**5 + 9921*m**4 - 8197221*m**3 - 8217069*m**2 + 8197224*m + 8207148 = 0.
-1, 1, 1654
Determine f so that f**4/4 + 5*f**3/4 - f**2/4 - 5*f/4 = 0.
-5, -1, 0, 1
Factor -52*x**3 - 164*x**2 - 128*x - 16.
-4*(x + 1)*(x + 2)*(13*x + 2)
Let -4*w**4 + 52*w**3 - 44*w**2 - 52*w + 48 = 0. Calculate w.
-1, 1, 12
Suppose -c**3 - 79*c**2 + 329*c - 249 = 0. What is c?
-83, 1, 3
Let 8*r**3 + 574*r**2 + 3496*r - 910 = 0. What is r?
-65, -7, 1/4
Factor -2*h**2/7 + 1028*h/7 + 1030/7.
-2*(h - 515)*(h + 1)/7
Solve -2*p**3 + 4*p**2 + 2*p - 4 = 0.
-1, 1, 2
Suppose 10985*v**5/4 + 24505*v**4/4 + 8125*v**3/2 + 1465*v**2/2 + 205*v/4 + 5/4 = 0. What is v?
-1, -1/13
What is c in -16*c**3 - 188*c**2 - 528*c + 144 = 0?
-6, 1/4
Determine n so that -4*n**3 + 1132*n**2 - 78364*n - 245388 = 0.
-3, 143
Find m such that -2*m**4 - 20*m**3 + 24*m**2 + 208*m - 320 = 0.
-10, -4, 2
Factor -2*a**3/5 + 6*a**2/5 + 144*a/5 + 352/5.
-2*(a - 11)*(a + 4)**2/5
Determine h, given that -18*h**5 + 86*h**4 + 128*h**3 + 24*h**2 = 0.
-1, -2/9, 0, 6
Factor -35*w**3 + 130*w**2 + 1160*w + 320.
-5*(w - 8)*(w + 4)*(7*w + 2)
Determine z, given that -5*z**3/2 + 503*z**2/2 + 101*z = 0.
-2/5, 0, 101
Suppose 2*x**4 + 17*x**3 + 18*x**2 - 23*x - 14 = 0. What is x?
-7, -2, -1/2, 1
Solve -h**3 - 13*h**2 + 134*h - 120 = 0 for h.
-20, 1, 6
Solve 8*l**2 + 60*l + 52 = 0.
-13/2, -1
Factor -2*o**4/5 - 76*o**3/5 - 624*o**2/5.
-2*o**2*(o + 12)*(o + 26)/5
Solve 4*k**4 - 84*k**3 - 180*k**2 - 92*k = 0.
-1, 0, 23
Factor -y**3/4 - y**2/4 + 5*y/2 - 2.
-(y - 2)*(y - 1)*(y + 4)/4
Let 3*w**2 + 165*w + 1638 = 0. What is w?
-42, -13
Determine a, given that -a**2 + 2460*a - 1512900 = 0.
1230
Factor -w**5 - 1252*w**4 - 390622*w**3 + 785004*w**2 - 393129*w.
-w*(w - 1)**2*(w + 627)**2
Factor -t**3 - 39*t**2 - 36*t + 76.
-(t - 1)*(t + 2)*(t + 38)
Find v such that v**5/12 + 7*v**4/3 + 17*v**3/4 - 7*v**2/3 - 13*v/3 = 0.
-26, -2, -1, 0, 1
Determine b so that b**2 - 388*b + 772 = 0.
2, 386
Factor -v**5/3 - 9*v**4 - 17*v**3 - 25*v**2/3.
-v**2*(v + 1)**2*(v + 25)/3
What is o in o**4/6 - 5*o**3 + 197*o**2/6 - 28*o = 0?
0, 1, 8, 21
Factor -3*a**2 + 2247*a.
-3*a*(a - 749)
Determine v so that v**2/5 + 2*v/5 - 48/5 = 0.
-8, 6
Find c such that -2*c**2/7 - 96*c/7 = 0.
-48, 0
Factor -b**3 - 1502*b**2 - 564001*b.
-b*(b + 751)**2
Suppose 62*a**2/11 + 2546*a/11 + 164/11 = 0. Calculate a.
-41, -2/31
Factor 5*y**4/6 + 29*y**3/6 + 10*y**2/3.
y**2*(y + 5)*(5*y + 4)/6
Find g such that 2*g**3 - 18*g**2 - 8*g + 72 = 0.
-2, 2, 9
Factor v**2/5 - v + 4/5.
(v - 4)*(v - 1)/5
Determine c, given that -3*c**5 - 30*c**4 - 39*c**3 + 204*c**2 + 204*c - 336 = 0.
-7, -4, -2, 1, 2
Determine u so that 2*u**4/9 - 2*u**3/9 = 0.
0, 1
Factor -3*h**3 + 6*h**2 + 12*h - 24.
-3*(h - 2)**2*(h + 2)
Solve -2*y**2/19 + 64*y - 1214/19 = 0 for y.
1, 607
Factor p**2/5 - 6948*p/5 + 12068676/5.
(p - 3474)**2/5
Factor -6*d**3/7 - 54*d**2/7 + 60*d/7.
-6*d*(d - 1)*(d + 10)/7
Factor -5*s**3 - 130*s**2 - 240*s.
-5*s*(s + 2)*(s + 24)
Factor 2*w**3/7 + 2*w**2/7 - 2*w/7 - 2/7.
2*(w - 1)*(w + 1)**2/7
Factor -4*s**2 - 892*s - 1768.
-4*(s + 2)*(s + 221)
Find o such that -3*o**4 - 11775*o**3 - 15409548*o**2 - 6728828112*o - 6713430336 = 0.
-1308, -1
Solve -x**2/3 + 76*x/3 - 1444/3 = 0 for x.
38
Factor -2*q**2/11 - 2504*q/11 - 783752/11.
-2*(q + 626)**2/11
Factor -2*z**2 + 4546*z/5 + 364.
-2*(z - 455)*(5*z + 2)/5
Factor 5618*o**3/3 + 424*o*