Factor -r**2 + 9*r - 8.
-(r - 8)*(r - 1)
What is z in 3*z**3 + 24*z**2 + 51*z + 30 = 0?
-5, -2, -1
Let -5*f**4 - 22*f**3 - 8*f**2 = 0. What is f?
-4, -2/5, 0
Let -3*s**2 + 9444*s - 7432428 = 0. Calculate s.
1574
Factor 5*o**3 - 435*o**2 + 9675*o - 9245.
5*(o - 43)**2*(o - 1)
Determine j so that 2*j**3/7 - 2*j**2/7 = 0.
0, 1
Suppose -3*a**2/4 + 3*a + 144 = 0. Calculate a.
-12, 16
Factor -5*g**3 + 50*g**2 + 5*g - 50.
-5*(g - 10)*(g - 1)*(g + 1)
Suppose 3*p**4 + 30*p**3 - 255*p**2 + 510*p - 288 = 0. Calculate p.
-16, 1, 2, 3
Factor -3*z**3 - 45*z**2.
-3*z**2*(z + 15)
Determine o so that -10*o**4/7 - 48*o**3/7 - 10*o**2/7 + 12*o - 16/7 = 0.
-4, -2, 1/5, 1
Determine v, given that -3*v**4/2 - 1017*v**3/2 - 2025*v**2/2 - 1011*v/2 = 0.
-337, -1, 0
Suppose -5*b**5 + 10*b**4 + 40*b**3 = 0. Calculate b.
-2, 0, 4
Factor 2*a**2/13 - 160*a/13.
2*a*(a - 80)/13
Suppose -2*g**2/17 + 688*g/17 - 59168/17 = 0. What is g?
172
Determine k, given that 3*k**3 - 414*k**2 + 1620*k - 1608 = 0.
2, 134
Suppose -2*l**3/3 - 26*l**2/3 - 24*l = 0. Calculate l.
-9, -4, 0
Determine y, given that y**4/2 - 19*y**3 + 397*y**2/2 - 342*y + 162 = 0.
1, 18
Factor q**4 + 19*q**3 + 80*q**2 - 100*q.
q*(q - 1)*(q + 10)**2
Suppose -4*k**3 - 5560*k**2 + 4*k + 5560 = 0. What is k?
-1390, -1, 1
Factor 3*r**2 - 13*r + 10.
(r - 1)*(3*r - 10)
Determine s so that -5*s**4 - 55*s**3 - 135*s**2 - 125*s - 40 = 0.
-8, -1
Factor l**5/3 - 3*l**4 + 26*l**3/3 - 6*l**2 - 9*l + 9.
(l - 3)**3*(l - 1)*(l + 1)/3
Factor 20736*x**2 - 576*x + 4.
4*(72*x - 1)**2
Solve -2*x**5/11 - 20*x**4/11 - 54*x**3/11 - 4*x**2/11 + 80*x/11 = 0 for x.
-5, -4, -2, 0, 1
Factor 6*c**3/5 + 418*c**2/5 + 1442*c - 490.
2*(c + 35)**2*(3*c - 1)/5
Find v such that 2*v**4/15 + 52*v**3/3 + 3784*v**2/5 + 170108*v/15 + 159014/15 = 0.
-43, -1
Let -7*r**4/5 + 37*r**3/5 - 31*r**2/5 - 57*r/5 + 18/5 = 0. What is r?
-1, 2/7, 3
Let 12*p**3/5 - 38*p**2/5 + 6*p - 4/5 = 0. Calculate p.
1/6, 1, 2
Factor -4*z**3 + 124*z**2 - 800*z + 1472.
-4*(z - 23)*(z - 4)**2
Factor 2*z**2/13 + 42*z/13 - 704/13.
2*(z - 11)*(z + 32)/13
Factor x**4/5 + 48*x**3/5 + 576*x**2/5.
x**2*(x + 24)**2/5
Solve l**3/8 - l**2/2 - 3*l/8 + 9/4 = 0 for l.
-2, 3
Factor -2*p**2/3 - 22*p/3 - 12.
-2*(p + 2)*(p + 9)/3
Factor -5*v**2/4 - 17*v/4 - 3.
-(v + 1)*(5*v + 12)/4
Suppose -4*l**5/5 - 94*l**4/5 - 838*l**3/5 - 684*l**2 - 5832*l/5 - 432 = 0. What is l?
-6, -5, -1/2
Find r, given that 3*r**5/2 + 17*r**4 + 30*r**3 - 17*r**2 - 63*r/2 = 0.
-9, -7/3, -1, 0, 1
Factor 2*y**3 + 390*y**2 + 18816*y - 19208.
2*(y - 1)*(y + 98)**2
Determine p, given that -2*p**4 + 2*p**3 + 20*p**2 + 16*p = 0.
-2, -1, 0, 4
Suppose -2*z**5/13 + 18*z**4/13 + 42*z**3/13 + 22*z**2/13 = 0. What is z?
-1, 0, 11
Suppose 16*x**4 - 38*x**3 + 12*x**2 = 0. Calculate x.
0, 3/8, 2
Factor 4*n**3/5 - 1096*n**2/5 + 14336*n + 94080.
4*(n - 140)**2*(n + 6)/5
Factor -2*a**2 - 82*a - 528.
-2*(a + 8)*(a + 33)
What is x in -4*x**3/7 + 4*x/7 = 0?
-1, 0, 1
Let 146*i**3/3 + 290*i**2/3 + 142*i/3 - 2/3 = 0. What is i?
-1, 1/73
Find g such that 2*g**4/9 + 4*g**3 - 82*g**2/9 - 4*g + 80/9 = 0.
-20, -1, 1, 2
Suppose -2*x**2 - 214*x + 660 = 0. What is x?
-110, 3
Determine n, given that 32*n**5 + 8*n**4 - 60*n**3 - 20*n**2 + 28*n + 12 = 0.
-1, -3/4, -1/2, 1
Determine u, given that -35*u**5 + 120*u**4 - 45*u**3 - 140*u**2 + 60*u = 0.
-1, 0, 3/7, 2
Factor -5*q**4 - 14025*q**3 - 9842040*q**2 - 9828020*q.
-5*q*(q + 1)*(q + 1402)**2
Factor -w**4 - 37*w**3 + 129*w**2 + 333*w - 1080.
-(w - 3)**2*(w + 3)*(w + 40)
Determine v, given that -2*v**3/11 + 20*v**2/11 + 46*v/11 + 24/11 = 0.
-1, 12
Find f such that -162*f**5 + 738*f**4 - 944*f**3 + 112*f**2 + 224*f + 32 = 0.
-2/9, 1, 2
Factor 4*n**3/3 + 872*n**2/3 + 4285*n/3 + 1775.
(n + 213)*(2*n + 5)**2/3
Factor 4*b**5/3 - 8*b**4/3 + 4*b**3/3.
4*b**3*(b - 1)**2/3
Suppose c**2/10 + 3*c/10 + 1/5 = 0. Calculate c.
-2, -1
Factor 1156*r**2/7 - 3536*r/7 + 2704/7.
4*(17*r - 26)**2/7
Solve 3*f**2/7 - 169*f/7 + 8 = 0.
1/3, 56
Find g such that 2*g**3/3 - 20*g**2 + 66*g + 260/3 = 0.
-1, 5, 26
Solve 2*u**2/11 + 186*u/11 + 2212/11 = 0.
-79, -14
Determine r so that -15*r**3 - 830*r**2 + 1415*r - 570 = 0.
-57, 2/3, 1
Suppose -3*t**2/5 - 12762*t/5 - 13572387/5 = 0. Calculate t.
-2127
Factor k**2/6 + 83*k/3 + 164/3.
(k + 2)*(k + 164)/6
Suppose 5*h**5 + 540*h**4 + 2105*h**3 + 2610*h**2 + 1040*h = 0. Calculate h.
-104, -2, -1, 0
Suppose -x**5/2 - 11*x**4/2 - 7*x**3/2 + 35*x**2/2 + 26*x + 10 = 0. Calculate x.
-10, -1, 2
Find q such that 2*q**2/7 + 14*q = 0.
-49, 0
Factor 34*y**2 + 30*y - 4.
2*(y + 1)*(17*y - 2)
What is u in -3*u**3 + 21*u**2 + 2451*u - 33573 = 0?
-31, 19
Let 484*w**4 + 2244*w**3 + 1072*w**2 - 624*w + 64 = 0. Calculate w.
-4, -1, 2/11
Factor 3*m**3/2 - 9*m**2/2 - 891*m/2 - 5103/2.
3*(m - 21)*(m + 9)**2/2
Let n**3 + 18*n**2 - 19*n = 0. Calculate n.
-19, 0, 1
What is x in 4*x**4/7 + 52*x**3/7 + 24*x**2 = 0?
-7, -6, 0
Solve 2*p**5/9 - 128*p**4/9 + 242*p**3/9 + 380*p**2/9 - 488*p/9 - 496/9 = 0.
-1, 2, 62
Solve 3*q**5 + 27*q**4 - 39*q**3 - 87*q**2 + 36*q + 60 = 0 for q.
-10, -1, 1, 2
Determine w, given that 16*w**5/5 + 136*w**4/5 + 49*w**3/5 - 128*w**2/5 - 13*w - 8/5 = 0.
-8, -1, -1/4, 1
Factor k**2/4 + 55*k/4 + 84.
(k + 7)*(k + 48)/4
Let 2*q**5 + 40*q**4 + 266*q**3 + 748*q**2 + 920*q + 400 = 0. Calculate q.
-10, -5, -2, -1
Factor -o**5 - 62*o**4.
-o**4*(o + 62)
Suppose 10*d**4 + 46*d**3 + 50*d**2 + 2*d - 12 = 0. Calculate d.
-3, -1, 2/5
Let c**4/2 + 125*c**3/6 + 536*c**2/3 + 110*c = 0. Calculate c.
-30, -11, -2/3, 0
Determine z, given that 6*z**5 + 14*z**4 - 8*z**2 = 0.
-2, -1, 0, 2/3
Let -5*o**5/2 - 475*o**4/2 - 3625*o**3 + 179525*o**2 + 5500775*o/2 - 114887615/2 = 0. Calculate o.
-43, 17
Solve 2*j**3/7 + 44*j**2/7 + 118*j/7 + 76/7 = 0 for j.
-19, -2, -1
Factor -2*x**2 + 44*x + 150.
-2*(x - 25)*(x + 3)
Solve -4*o**4 + 7360*o**3 - 4509216*o**2 + 916854272*o + 1851804352 = 0.
-2, 614
Factor 2*f**2 - 10*f.
2*f*(f - 5)
Determine h, given that h**4 - 3*h**3 - 24*h**2 - 28*h = 0.
-2, 0, 7
Factor -4*u**3/5 + 164*u**2/5 - 1856*u/5 + 1280.
-4*(u - 25)*(u - 8)**2/5
Solve -6*y**4/5 - 129*y**3/5 + 372*y**2/5 + 279*y/5 - 216/5 = 0.
-24, -1, 1/2, 3
Solve -2*r**3/7 + 54*r**2/7 + 2160*r/7 + 14688/7 = 0 for r.
-12, 51
Determine x so that x**5 + 31*x**4 + 337*x**3 + 1629*x**2 + 3618*x + 3024 = 0.
-14, -8, -3
Find r such that 2*r**5/5 + 14*r**4/5 + 18*r**3/5 - 14*r**2/5 - 4*r = 0.
-5, -2, -1, 0, 1
Let 9*j**4 - 39*j**3 + 39*j**2 - 9*j = 0. What is j?
0, 1/3, 1, 3
Determine m, given that -m**2/7 - 37*m/7 - 10 = 0.
-35, -2
Determine x, given that -62*x**5/5 - 306*x**4/5 - 414*x**3/5 - 158*x**2/5 + 12*x/5 = 0.
-3, -1, 0, 2/31
Solve -2*g**4/5 + 4*g**3/5 + 2*g**2 - 12*g/5 = 0.
-2, 0, 1, 3
Find s, given that -15*s**5 + 39*s**4 + 48*s**3 - 168*s**2 + 48*s + 48 = 0.
-2, -2/5, 1, 2
Factor -4*c**4/5 - 12*c**3/5 + 8*c**2 + 96*c/5.
-4*c*(c - 3)*(c + 2)*(c + 4)/5
Factor 1029*c**5 + 4851*c**4 + 6300*c**3 + 3216*c**2 + 576*c.
3*c*(c + 3)*(7*c + 4)**3
Factor 5*k**3 + 445*k**2 + 10120*k + 9680.
5*(k + 1)*(k + 44)**2
Find k, given that 25*k**5/2 + 25*k**4 - 129*k**3/2 - 79*k**2 + 10*k + 12 = 0.
-3, -1, -2/5, 2/5, 2
Solve -260*b**3/3 - 2*b**2 + 260*b/3 + 2 = 0 for b.
-1, -3/130, 1
Suppose -135*s**4 + 459*s**3 + 288*s**2 - 388*s - 224 = 0. Calculate s.
-2/3, 1, 56/15
Factor -50*x**4 + 27890*x**3 - 22288*x**2 + 4456*x.
-2*x*(x - 557)*(5*x - 2)**2
Determine k so that -k**5/5 + 4*k**4/5 + 8*k**3/5 - 14*k**2/5 - 7*k/5 + 2 = 0.
-2, -1, 1, 5
Factor -2*p**2/9 + 8*p/9 + 10/9.
-2*(p - 5)*(p + 1)/9
Determine u, given that 16*u**5 - 1024*u**4 + 17812*u**3 - 44588*u**2 - 3904*u + 59536 = 0.
-1, 2, 61/2
Find q, given that 2*q**2/11 + 3312*q/11 + 1371168/11 = 0.
-828
Factor -4*i**4 + 3*i**3 + 21*i**2 + 17*i + 3.
-(i - 3)*(i + 1)**2*(4*i + 1)
Find c, given that 2*c**4 - 46*c**3 + 320*c**2 - 600*c = 0.
0, 3, 10
Factor y**3/5 - y**2/5 - 17*y/5 - 3.
(y - 5)*(y + 1)*(y + 3)/5
Determine k so that -k**3 + 7*k**2 + 40*k + 44 = 0.
-2, 11
Solve -3*u**2 + 4878*u = 0.
0, 1626
Determine v so that -2*v**5/13 - 8*v**4/13 - 10*v**3/13 - 4*v**2/13 = 0.
-2, -1, 0
What is x in x**2/2 + 103*x = 0?
-206, 0
Suppose -2*s**2/21 - 132*s/7 + 402/7 = 0. What is s?
-201, 3
Solve -4*d**5/7 - 328*d**4/7 - 220*d**3 = 0 for d.
-77, -5, 0
Find d, given that -3*d**2 + 1371*d + 1374 = 0.
-1, 458
Factor 