 + 1914*g**2 - 768*g = 0.
-128, 0, 1, 2
Suppose 20*h**4 - 16*h**3 - 104*h**2 - 80*h - 12 = 0. Calculate h.
-1, -1/5, 3
Find j, given that 5*j**4 - 5*j**3 - 50*j**2 - 40*j = 0.
-2, -1, 0, 4
Factor 405*l**4 - 990*l**3 + 785*l**2 - 220*l + 20.
5*(l - 1)**2*(9*l - 2)**2
Factor 2*l**2/5 - 64*l/5 - 456/5.
2*(l - 38)*(l + 6)/5
Solve -a**2 + 38*a = 0 for a.
0, 38
Factor -4*u**4 - 80*u**3 + 576*u**2 - 1216*u + 832.
-4*(u - 2)**3*(u + 26)
Let m**5/3 + 2*m**4/3 - m**3/3 - 2*m**2/3 = 0. What is m?
-2, -1, 0, 1
Suppose -5*g**5/6 - 35*g**4/6 + 5*g**3/3 + 115*g**2/3 - 325*g/6 + 125/6 = 0. Calculate g.
-5, 1
Solve -2*l**2/9 + 2*l/3 = 0.
0, 3
Factor q**3/3 - 38*q**2/3 + 132*q - 216.
(q - 18)**2*(q - 2)/3
Find a such that 4*a**2 - 8*a - 396 = 0.
-9, 11
Solve 3*h**4 - 111*h**3 + 186*h**2 + 840*h = 0 for h.
-2, 0, 4, 35
What is b in -2*b**3/9 - 16*b**2/9 + 86*b - 468 = 0?
-26, 9
Let -w**2/2 - 3*w - 5/2 = 0. What is w?
-5, -1
Find c such that 12*c**4 + 400*c**3 + 1516*c**2 + 200*c - 928 = 0.
-29, -4, -1, 2/3
Solve -2*q**5/11 - 2*q**4/11 + 18*q**3/11 + 26*q**2/11 - 16*q/11 - 24/11 = 0 for q.
-2, -1, 1, 3
Solve -6*w**4 + 735*w**3 - 13689*w**2 + 66297*w + 36663 = 0 for w.
-1/2, 11, 101
Factor -4*w**5 - 8*w**4 + 116*w**3 - 184*w**2 - 80*w + 224.
-4*(w - 2)**3*(w + 1)*(w + 7)
Find r such that -4*r**4/5 + 38*r**3/15 - 8*r**2/3 + 14*r/15 = 0.
0, 1, 7/6
Factor 2*v**3/15 + 116*v**2/15 + 144*v/5.
2*v*(v + 4)*(v + 54)/15
Factor 3*z**3 - 18*z**2 - 93*z + 108.
3*(z - 9)*(z - 1)*(z + 4)
Determine l, given that 5*l**4 + 170*l**3 + 1945*l**2 + 8320*l + 10140 = 0.
-13, -6, -2
What is r in 3*r**5/8 - 6*r**3 - 6*r**2 + 18*r + 24 = 0?
-2, 2, 4
Factor 24*l**3 - 1028*l**2 - 1228*l - 176.
4*(l - 44)*(l + 1)*(6*l + 1)
Solve -2*z**2/11 + 128*z/11 + 130/11 = 0 for z.
-1, 65
Suppose -3*t**2 - 12774*t - 13597923 = 0. What is t?
-2129
Factor -2*l**3/5 - 718*l**2/5 - 12816*l + 12960.
-2*(l - 1)*(l + 180)**2/5
Factor -2*t**2/11 - 2016*t/11 - 508032/11.
-2*(t + 504)**2/11
Solve 3*k**2 - 246*k - 3705 = 0 for k.
-13, 95
Factor -5*r**4 + 300*r**3 - 585*r**2 + 290*r.
-5*r*(r - 58)*(r - 1)**2
Find k such that 12*k**4/5 - 16*k**3/5 - 72*k**2/5 + 16*k/5 + 12 = 0.
-5/3, -1, 1, 3
Factor -2*m**3/9 - 26*m**2/9.
-2*m**2*(m + 13)/9
Factor 64*o**4/3 + 368*o**3/3 + 235*o**2 + 150*o.
o*(o + 2)*(8*o + 15)**2/3
Factor -j**4 - 30*j**3 - 83*j**2 - 54*j.
-j*(j + 1)*(j + 2)*(j + 27)
Determine z so that -z**4/3 - 8*z**3/3 - 7*z**2 - 22*z/3 - 8/3 = 0.
-4, -2, -1
Let -2*c**5/11 + 42*c**4/11 - 28*c**3/11 - 240*c**2/11 = 0. Calculate c.
-2, 0, 3, 20
Suppose -f**3/4 + 153*f**2/2 + f/4 - 153/2 = 0. Calculate f.
-1, 1, 306
Find n such that 5*n**4 - 310*n**3 - 45*n**2 + 2790*n = 0.
-3, 0, 3, 62
Let -5*q**2 - 25*q - 20 = 0. What is q?
-4, -1
Factor -2*b**2/7 + 68*b/7 + 1734/7.
-2*(b - 51)*(b + 17)/7
Factor 6*t**3/5 - 14*t**2/5 - 12*t/5.
2*t*(t - 3)*(3*t + 2)/5
Solve 2*u**4/11 - 208*u**3/11 + 5612*u**2/11 - 10608*u/11 + 5202/11 = 0 for u.
1, 51
Factor 5*x**4 + 35*x**3 + 35*x**2 - 75*x.
5*x*(x - 1)*(x + 3)*(x + 5)
Determine b so that 2*b**2 - 96*b = 0.
0, 48
Determine n, given that -20*n**3 - 12985*n**2 - 3245*n = 0.
-649, -1/4, 0
Determine b, given that b**3/10 + 63*b**2/10 - 132*b/5 + 134/5 = 0.
-67, 2
Determine n, given that -5*n**2 - 5255*n + 5260 = 0.
-1052, 1
Factor -z**4/4 - 17*z**3/4 + z**2 + 17*z.
-z*(z - 2)*(z + 2)*(z + 17)/4
Factor 23*x**2/5 + 504*x/5 - 44/5.
(x + 22)*(23*x - 2)/5
Factor 5*v**3 + 155*v**2 - 325*v + 165.
5*(v - 1)**2*(v + 33)
Let -3*x**3/5 - 6*x**2 + 360*x = 0. Calculate x.
-30, 0, 20
Find x such that 2*x**5/25 - 8*x**4/5 + 136*x**3/25 - 128*x**2/25 = 0.
0, 2, 16
Factor 3*w**4/8 - 231*w**3/8 - 3*w**2/8 + 231*w/8.
3*w*(w - 77)*(w - 1)*(w + 1)/8
Factor -3*m**4/2 - 3*m**3 + 72*m**2.
-3*m**2*(m - 6)*(m + 8)/2
Suppose -q**2/2 + 373*q/2 + 187 = 0. Calculate q.
-1, 374
Solve 2*q**3 + 102*q**2 + 1734*q + 9826 = 0 for q.
-17
Find i such that i**3/5 + 3*i**2/5 - 6*i/5 - 8/5 = 0.
-4, -1, 2
Suppose -6*f**4/7 - 12*f**3/7 + 1800*f**2/7 + 1716*f - 13794/7 = 0. Calculate f.
-11, 1, 19
Solve 3*i**3/5 + 12*i**2/5 - 12*i/5 - 48/5 = 0 for i.
-4, -2, 2
Factor -2*x**2/13 + 8456*x/13 - 8937992/13.
-2*(x - 2114)**2/13
Factor 5*y**4 - 1460*y**3 + 4350*y**2 - 4340*y + 1445.
5*(y - 289)*(y - 1)**3
Suppose 3*k**5/5 + 12*k**4/5 + 12*k**3/5 = 0. Calculate k.
-2, 0
Solve 3*p**3 - 648*p**2 + 46656*p - 1119744 = 0 for p.
72
Factor -20*t**3 + 248*t**2 - 96*t.
-4*t*(t - 12)*(5*t - 2)
Factor -t**3/2 - 53*t**2 - 2809*t/2.
-t*(t + 53)**2/2
Let -60*n**5/7 + 164*n**4/7 - 116*n**3/7 - 36*n**2/7 + 64*n/7 - 16/7 = 0. Calculate n.
-2/3, 2/5, 1
Find o such that o**3/4 + 5*o**2 - 73*o/4 - 23 = 0.
-23, -1, 4
Solve -2*t**3/7 - 10*t**2/7 + 176*t/7 - 416/7 = 0 for t.
-13, 4
What is u in -u**2/3 + 5*u - 14/3 = 0?
1, 14
Suppose -45*r**4 - 870*r**3 - 260*r**2 + 470*r - 95 = 0. Calculate r.
-19, -1, 1/3
Suppose -v**2 + 495*v - 494 = 0. Calculate v.
1, 494
Factor -2*y**3 - 3720*y**2 - 7434*y - 3716.
-2*(y + 1)**2*(y + 1858)
Suppose -u**4 + 95*u**3/4 - 138*u**2 - 36*u = 0. Calculate u.
-1/4, 0, 12
Factor 2*f**4/5 + 16*f**3/5 - 4*f**2 - 16*f/5 + 18/5.
2*(f - 1)**2*(f + 1)*(f + 9)/5
Find h such that 5*h**3 + 200*h**2 + 2340*h + 6480 = 0.
-18, -4
Factor -5*j**3 + 790*j**2 - 2335*j + 1550.
-5*(j - 155)*(j - 2)*(j - 1)
Find q, given that -2*q**4 - 6*q**3 + 46*q**2 - 66*q + 28 = 0.
-7, 1, 2
Determine k so that -28*k**5 + 260*k**4 + 1104*k**3 - 2128*k**2 - 2176*k + 768 = 0.
-4, -1, 2/7, 2, 12
Determine w, given that -2*w**4/11 - 182*w**3/11 + 752*w**2/11 - 760*w/11 = 0.
-95, 0, 2
Find g, given that 2*g**4 + 116*g**3 - 800*g**2 - 2048*g = 0.
-64, -2, 0, 8
Factor 2*i**3/3 - 80*i**2/3 - 642*i - 3132.
2*(i - 58)*(i + 9)**2/3
Factor -4*n**2/5 + 4944*n/5 - 1527696/5.
-4*(n - 618)**2/5
Factor -3*d**3 + 72*d**2 - 351*d - 1014.
-3*(d - 13)**2*(d + 2)
Find m such that -49*m**3/6 + 917*m**2/6 - 2356*m/3 + 1922/3 = 0.
1, 62/7
Suppose 12*d**4 - 117*d**3 + 162*d**2 + 48*d = 0. Calculate d.
-1/4, 0, 2, 8
Suppose -2*c**2/11 + 316*c/11 = 0. What is c?
0, 158
Factor 18*m**3/13 - 120*m**2/13 - 184*m/13 - 64/13.
2*(m - 8)*(3*m + 2)**2/13
Find k such that 4*k**5/5 + 5788*k**4/5 + 3468*k**3 + 17332*k**2/5 + 5776*k/5 = 0.
-1444, -1, 0
Factor -3*o**5/5 + 6*o**4/5 + 24*o**3/5.
-3*o**3*(o - 4)*(o + 2)/5
Factor x**2/4 + 28*x - 57.
(x - 2)*(x + 114)/4
Factor 2*g**2 + 1366*g.
2*g*(g + 683)
Factor h**4/5 - 48*h**3/5 + 46*h**2/5 + 48*h/5 - 47/5.
(h - 47)*(h - 1)**2*(h + 1)/5
Factor -4*l**2 + 44*l.
-4*l*(l - 11)
Suppose k**5/8 - k**4/8 - 3*k**3/8 + k**2/8 + k/4 = 0. Calculate k.
-1, 0, 1, 2
Factor -2*r**4/13 + 24*r**3/13 - 108*r**2/13 + 216*r/13 - 162/13.
-2*(r - 3)**4/13
What is d in 2*d**2/3 - 26*d/3 + 20 = 0?
3, 10
Determine u, given that -4*u**5 + 60*u**4 - 116*u**3 - 828*u**2 - 648*u = 0.
-2, -1, 0, 9
Factor c**2 + 1204*c + 362404.
(c + 602)**2
Determine y, given that 4*y**5/5 - y**4/5 - 12*y**3/5 - y**2 + 2*y/5 = 0.
-1, 0, 1/4, 2
What is t in -t**3/2 - 3*t**2/2 + 9*t/2 - 5/2 = 0?
-5, 1
Determine g, given that g**2/5 - 38*g/5 - 39/5 = 0.
-1, 39
Determine m so that -m**4/2 - 52*m**3 - 659*m**2 + 36036*m - 480249/2 = 0.
-63, 11
Let -4*v**4/5 - 188*v**3/5 - 1144*v**2/5 - 192*v = 0. What is v?
-40, -6, -1, 0
Determine r, given that 3*r**3/2 - 129*r**2 = 0.
0, 86
Factor 2*j**2 - 1004*j/5 + 80.
2*(j - 100)*(5*j - 2)/5
Solve o**4 + 9*o**3 - 27*o**2 - 329*o - 294 = 0 for o.
-7, -1, 6
Factor 2*i**3/7 - 1518*i**2/7 + 288798*i/7 - 287282/7.
2*(i - 379)**2*(i - 1)/7
Let -k**4 + 11*k**3 - 38*k**2 + 52*k - 24 = 0. Calculate k.
1, 2, 6
Determine z, given that z**5/3 + 4*z**4/3 - z**3/3 - 4*z**2/3 = 0.
-4, -1, 0, 1
Let -2*n**5/9 + 80*n**4/9 - 104*n**3 + 288*n**2 = 0. Calculate n.
0, 4, 18
Suppose -5*v**4/3 - 19*v**3 - 202*v**2/3 - 84*v - 24 = 0. What is v?
-6, -3, -2, -2/5
Suppose 2*j**3 + 10*j**2 - 66*j + 54 = 0. What is j?
-9, 1, 3
Factor 5*y**5 - 405*y**4 + 385*y**3 + 1225*y**2 - 2010*y + 800.
5*(y - 80)*(y - 1)**3*(y + 2)
Suppose -4*k**4 + 16*k**3 + 172*k**2 - 856*k + 672 = 0. What is k?
-7, 1, 4, 6
Determine q, given that 5*q**2 - 200*q - 205 = 0.
-1, 41
Determine p so that 2*p**3 - 8*p**2 + 8*p = 0.
0, 2
Factor -u**3 + 12*u**2 - 21*u + 10.
-(u - 10)*(u - 1)**2
Solve -2*g**4/3 + 2*g**3/3 + 2*g**2 - 2*g/3 - 4/3 = 0 for g.
-1, 1, 2
Factor 5*j**4 - 25*j**3 + 45*j**2 - 35*j + 10.
5*(j - 2)*(j - 1)**3