 8*d**2 - 2884*d - 1440.
4*(d - 1)*(d + 1)**3*(d + 360)
Solve z**2/7 - 120*z/7 + 236/7 = 0.
2, 118
Factor -3*u**4/8 - 18*u**3 - 933*u**2/4 - 414*u - 1587/8.
-3*(u + 1)**2*(u + 23)**2/8
Determine d so that 3*d**5/7 + 183*d**4/7 + 174*d**3/7 - 360*d**2/7 = 0.
-60, -2, 0, 1
Find u such that -4*u**2/5 + 376*u/5 + 1164/5 = 0.
-3, 97
Solve -k**5 + 23*k**4 - 114*k**3 + 212*k**2 - 136*k = 0 for k.
0, 2, 17
Solve 273*p**5 + 10137*p**4 - 19701*p**3 + 7431*p**2 + 2328*p - 468 = 0.
-39, -2/7, 2/13, 1
Find j, given that -j**3/3 - 11*j**2 - 85*j + 289/3 = 0.
-17, 1
Determine h so that -3*h**2 + 102*h + 105 = 0.
-1, 35
Factor r**3 + 113*r**2 - 464*r + 468.
(r - 2)**2*(r + 117)
Find h, given that -3*h**3/7 + 3*h**2/7 + 12*h/7 - 12/7 = 0.
-2, 1, 2
Find b such that -10*b**5 + 195*b**4 - 220*b**3 - 960*b**2 + 1040*b + 720 = 0.
-2, -1/2, 2, 18
Find g, given that 2*g**3/3 - 20*g**2/3 + 14*g = 0.
0, 3, 7
Factor 6*y**3/5 - 44*y**2/5 + 14*y/5.
2*y*(y - 7)*(3*y - 1)/5
Let 5*a**5 - 25*a**4 + 15*a**3 + 25*a**2 - 20*a = 0. What is a?
-1, 0, 1, 4
Determine n so that -n**2/7 + 180*n/7 - 8100/7 = 0.
90
Suppose -2*m**3/5 - 62*m**2/5 - 118*m/5 - 58/5 = 0. What is m?
-29, -1
Factor 3*f**2/4 - 8205*f/2 + 22440675/4.
3*(f - 2735)**2/4
Solve 2*j**2/5 + 1156*j/5 - 1158/5 = 0.
-579, 1
Factor 5*r**2 + 2840*r + 403280.
5*(r + 284)**2
Find q such that 3*q**2/7 - 9*q/7 = 0.
0, 3
Find w, given that 4*w**4/5 - 16*w**3/5 - 48*w**2/5 = 0.
-2, 0, 6
Suppose 144*s**3 - 1104*s**2 - 380*s - 32 = 0. What is s?
-1/6, 8
Factor -2*a**2/5 + 886*a/5 + 356.
-2*(a - 445)*(a + 2)/5
Find a such that -25*a**4 + 140*a**3 + 85*a**2 - 140*a - 60 = 0.
-1, -2/5, 1, 6
Suppose -3*w**2/5 - 564*w/5 + 567/5 = 0. Calculate w.
-189, 1
Factor 3*n**3 + 60*n**2 - 63*n.
3*n*(n - 1)*(n + 21)
Let 2*q**2 - 10044*q + 12610242 = 0. What is q?
2511
Factor -2*k**2/5 + 612*k - 234090.
-2*(k - 765)**2/5
Suppose g**4/5 - 11*g**3/5 + 24*g**2/5 + 36*g/5 = 0. Calculate g.
-1, 0, 6
Determine m so that -2*m**3/3 + 34*m**2/3 - 160*m/3 + 128/3 = 0.
1, 8
Factor -n**2/2 + 280*n + 1689/2.
-(n - 563)*(n + 3)/2
Solve 2*z**3 - 76*z**2 - 242*z - 164 = 0.
-2, -1, 41
Factor 4*d**5 - 16*d**4 - 24*d**3 + 16*d**2 + 20*d.
4*d*(d - 5)*(d - 1)*(d + 1)**2
Factor -w**5/5 + 112*w**4/5 - 1248*w**3/5 + 4864*w**2/5 - 1280*w.
-w*(w - 100)*(w - 4)**3/5
Factor -2*u**2 - 11826*u - 11824.
-2*(u + 1)*(u + 5912)
Solve -4*j**2 + 1520*j - 3024 = 0.
2, 378
Determine p, given that -5*p**4 - 260*p**3 - 975*p**2 - 720*p = 0.
-48, -3, -1, 0
Factor 2*r**2/15 - 8*r/3 + 40/3.
2*(r - 10)**2/15
Factor -3*w**2/7 + 246*w - 1719/7.
-3*(w - 573)*(w - 1)/7
Solve 2*p**4/11 - 6*p**3/11 + 2*p**2/11 + 6*p/11 - 4/11 = 0.
-1, 1, 2
Factor 1458*k**4 + 8640*k**3 - 646*k**2 + 12*k.
2*k*(k + 6)*(27*k - 1)**2
Factor -3*z**2/2 - 27*z - 48.
-3*(z + 2)*(z + 16)/2
Solve 2*w**5/5 - 77*w**4/5 + 152*w**3 - 361*w**2/5 = 0 for w.
0, 1/2, 19
Factor -r**4/2 + 111*r**3/2 + 2*r**2 - 222*r.
-r*(r - 111)*(r - 2)*(r + 2)/2
Factor q**3 - 54*q**2/7 + 33*q/7 + 2.
(q - 7)*(q - 1)*(7*q + 2)/7
Let 4*a**5 - 36*a**4 + 72*a**3 + 16*a**2 - 96*a = 0. What is a?
-1, 0, 2, 6
Factor 2*r**3 + 1136*r**2 + 160170*r - 324900.
2*(r - 2)*(r + 285)**2
Factor c**2 - 342*c + 680.
(c - 340)*(c - 2)
Let -o**5 - 9*o**4 + 95*o**3 - 255*o**2 + 266*o - 96 = 0. What is o?
-16, 1, 2, 3
What is u in 2*u**5 + 260*u**4 + 8450*u**3 = 0?
-65, 0
Suppose -26*a**5 + 498*a**4 - 934*a**3 - 362*a**2 + 960*a - 136 = 0. What is a?
-1, 2/13, 1, 2, 17
Solve -3*k**4 - 549*k**3 = 0.
-183, 0
Suppose r**3/2 - 9*r**2/2 - r/2 + 9/2 = 0. Calculate r.
-1, 1, 9
Determine h so that h**4/6 - h**3 - 19*h**2/6 + 14*h + 30 = 0.
-3, -2, 5, 6
Factor -5*h**2 - 5*h + 280.
-5*(h - 7)*(h + 8)
Let 3*t**4/5 + 12*t**3/5 - 93*t**2/5 + 42*t/5 + 144/5 = 0. Calculate t.
-8, -1, 2, 3
What is t in 2*t**3/11 - 104*t**2/11 - 8*t/11 + 416/11 = 0?
-2, 2, 52
Factor s**4/4 + 7*s**3/2 + 45*s**2/4 + 13*s + 5.
(s + 1)**2*(s + 2)*(s + 10)/4
Factor 2312*m**3 + 43520*m**2 - 7734*m + 342.
2*(m + 19)*(34*m - 3)**2
Factor -2*v**3/5 - 238*v**2/5 - 1392*v + 1440.
-2*(v - 1)*(v + 60)**2/5
Factor -3*h**2 + 18*h + 120.
-3*(h - 10)*(h + 4)
Factor x**2/2 - 14*x + 98.
(x - 14)**2/2
Factor -2*v**2/17 + 212*v/17 - 210/17.
-2*(v - 105)*(v - 1)/17
Factor -w**5/7 + 62*w**4/7 - 1489*w**3/7 + 17200*w**2/7 - 13568*w + 28672.
-(w - 16)**3*(w - 7)**2/7
Find d such that -2*d**5 - 44*d**4 + 608*d**3 - 1024*d**2 = 0.
-32, 0, 2, 8
Factor 69*u**4/5 - 15*u**3 + 6*u**2/5.
3*u**2*(u - 1)*(23*u - 2)/5
Factor -3*p**4 + 54*p**2 - 243.
-3*(p - 3)**2*(p + 3)**2
Solve 4*t**4 + 12*t**3 - 24*t**2 - 32*t = 0.
-4, -1, 0, 2
Suppose 6*f**2 + 3470*f + 1156 = 0. What is f?
-578, -1/3
Find y such that 2*y**3/7 + 2*y**2/7 - 12*y/7 = 0.
-3, 0, 2
Factor 3*j**5/4 - 2433*j**4/2 + 2634123*j**3/4 - 119411415*j**2 + 236852100*j - 118098000.
3*(j - 540)**3*(j - 1)**2/4
Suppose 4*y**2/9 + 188*y/9 = 0. What is y?
-47, 0
Factor b**2 + 780*b + 779.
(b + 1)*(b + 779)
Factor t**3/8 + 269*t**2/4 - 541*t/2 + 271.
(t - 2)**2*(t + 542)/8
Factor 5*g**4 + 5*g**3 - 205*g**2 + 555*g - 360.
5*(g - 3)**2*(g - 1)*(g + 8)
Factor l**3 + 85*l**2.
l**2*(l + 85)
Factor 45*s**3 + 90550*s**2 + 45561740*s + 10120360.
5*(s + 1006)**2*(9*s + 2)
Solve p**2 - 4165*p + 4164 = 0 for p.
1, 4164
Let -3*v**5/5 + 84*v**4/5 + 18*v**3 - 84*v**2/5 - 87*v/5 = 0. What is v?
-1, 0, 1, 29
Factor n**3 - 3870*n**2 + 4992300*n - 2146689000.
(n - 1290)**3
Factor 2*q**2/7 - 26*q/7 - 396/7.
2*(q - 22)*(q + 9)/7
Find b such that -3*b**5/4 + 9*b**4/4 + 21*b**3/2 - 27*b**2 - 30*b + 72 = 0.
-3, -2, 2, 4
Factor -d**5/2 + 219*d**4 - 436*d**3.
-d**3*(d - 436)*(d - 2)/2
Factor z**2 + 113*z - 114.
(z - 1)*(z + 114)
Suppose p**2/3 - 119*p/9 - 40/9 = 0. Calculate p.
-1/3, 40
Factor z**2 + 9*z - 136.
(z - 8)*(z + 17)
Determine i so that i**3 + 5*i**2 - 25*i - 125 = 0.
-5, 5
Factor 3*r**3/7 - 1551*r**2/7 - 3111*r/7 - 1557/7.
3*(r - 519)*(r + 1)**2/7
Factor -t**2/2 + 154*t - 11858.
-(t - 154)**2/2
Determine c so that -3*c**3 + 81*c**2 - 78*c = 0.
0, 1, 26
Factor -u**3/5 - 472*u**2/5 - 471*u/5.
-u*(u + 1)*(u + 471)/5
Let 4*c**3 - 76*c**2 - 4*c + 76 = 0. What is c?
-1, 1, 19
Suppose -4*a**5/5 + 19*a**4/5 - 7*a**3/5 - 23*a**2/5 + 11*a/5 + 4/5 = 0. Calculate a.
-1, -1/4, 1, 4
Find g such that -g**2 - 1422*g - 1421 = 0.
-1421, -1
Let -3*t**2 + 30*t - 63 = 0. What is t?
3, 7
Factor 5*y**5/2 + 3*y**4/2 - y**3.
y**3*(y + 1)*(5*y - 2)/2
Determine q, given that -q**2 + 160*q - 6400 = 0.
80
Factor -2*f**3/7 + 282*f**2/7 + 572*f/7.
-2*f*(f - 143)*(f + 2)/7
Factor -l**2 + 46*l + 96.
-(l - 48)*(l + 2)
Let b**3/5 - 7*b**2/5 - b/5 + 7/5 = 0. Calculate b.
-1, 1, 7
Determine g so that -3*g**3 - 93*g**2 - 813*g - 1683 = 0.
-17, -11, -3
Find u, given that -2*u**4/7 - 18*u**3/7 - 18*u**2/7 + 14*u - 60/7 = 0.
-6, -5, 1
What is x in -4*x**4/9 + 8*x**3/9 + 16*x**2/9 - 32*x/9 = 0?
-2, 0, 2
Let -4*x**5/11 + 122*x**4/11 - 68*x**3 + 1376*x**2/11 - 976*x/11 + 230/11 = 0. What is x?
1/2, 1, 5, 23
Factor -s**5 - 10*s**4 - 27*s**3 - 18*s**2.
-s**2*(s + 1)*(s + 3)*(s + 6)
Factor -d**2 - 1248*d - 389376.
-(d + 624)**2
Suppose -4*q**2 - 424*q + 2688 = 0. Calculate q.
-112, 6
Find n, given that 2*n**5/15 - 2*n**4 - 14*n**3/5 + 166*n**2/15 - 32*n/5 = 0.
-3, 0, 1, 16
Factor -v**2/2 - 15*v - 81/2.
-(v + 3)*(v + 27)/2
Factor 2*p**2 - 404*p + 402.
2*(p - 201)*(p - 1)
Determine q, given that 5*q**5 - 25*q**4 + 40*q**3 - 20*q**2 = 0.
0, 1, 2
Let 72*b**4 - 4848*b**3 + 6362*b**2 - 1718*b + 132 = 0. What is b?
1/6, 1, 66
Factor -2*b**3/7 - 6*b**2/7 + 8*b/7.
-2*b*(b - 1)*(b + 4)/7
Solve 2*j**2 - 516*j + 1024 = 0 for j.
2, 256
Let -2112*f**4 - 15712*f**3 - 28740*f**2 - 14700*f + 1000 = 0. What is f?
-5, -5/4, 2/33
Factor 4*u**2 - 192*u.
4*u*(u - 48)
Let -16*u**5/7 + 156*u**4/7 - 328*u**3/7 - 36*u**2 + 344*u/7 + 96/7 = 0. What is u?
-1, -1/4, 1, 4, 6
Factor -4*h**5/3 - 44*h**4/3.
-4*h**4*(h + 11)/3
Factor 2*v**4 - 1198*v**3 - 3612*v**2 - 8*v + 4816.
2*(v - 602)*(v - 1)*(v + 2)**2
Factor -j**2 + j.
-j*(j - 1)
Factor 3*o**5/2 + 6*o**4 + 9*o**3 + 6*o**2 + 3*o/2.
3*o*(o + 1)**4/2
Factor -114*u**2 + 14*u + 8.
-2*(3*u - 1)*(19*u + 4)
Find d such that 2*d**4 + 910*d**3 + 2718*d**2 + 2714*d + 904 = 0.
-452, -1
Solve 10*n**3 - 6*n**2 - 24*n - 8 = 0 for n.
-1, -2/5, 2
Find g, given that -2*g**2/3 - 16*g/3 + 6 = 0.
-9, 1
What is m in -3*m**4 + 6*m**3 + 9*m**2 =