etermine d, given that -d**2/2 + d/2 + 1 = 0.
-1, 2
Find r, given that -r**3/6 - 9*r**2/2 - 47*r/6 + 25/2 = 0.
-25, -3, 1
Determine u so that 12*u**5/5 - 8*u**4 - 36*u**3/5 + 16*u**2/5 = 0.
-1, 0, 1/3, 4
Factor -4*d**4 + 348*d**3 + 360*d**2 - 704*d.
-4*d*(d - 88)*(d - 1)*(d + 2)
Factor -j**3/3 + 4*j**2/3 + 11*j/3 - 10.
-(j - 5)*(j - 2)*(j + 3)/3
Find d, given that -d**3/6 - d**2/3 + 5*d/2 + 6 = 0.
-3, 4
Let -5*z**2 + 5970*z = 0. What is z?
0, 1194
Factor 2*w**2 - 10056*w - 10058.
2*(w - 5029)*(w + 1)
Factor 2*p**3 + 102*p**2 - 218*p - 318.
2*(p - 3)*(p + 1)*(p + 53)
What is h in -57*h**3 + 108*h**2 - 45*h - 6 = 0?
-2/19, 1
Let 2*m**5 - 10*m**4 - 26*m**3 - 14*m**2 = 0. What is m?
-1, 0, 7
Solve -13*n**5/2 + 66*n**4 - 449*n**3/2 + 293*n**2 - 144*n + 16 = 0 for n.
2/13, 1, 4
Factor p**2/9 - 5*p/9 - 2/3.
(p - 6)*(p + 1)/9
Factor -2*z**2/11 + 1128*z/11 + 2264/11.
-2*(z - 566)*(z + 2)/11
Let 3*m**3 + 279*m**2 + 8649*m + 89373 = 0. What is m?
-31
Solve 12*k**2 + 16*k + 4 = 0.
-1, -1/3
Suppose -3*q**2/5 - 3135*q - 15672/5 = 0. Calculate q.
-5224, -1
Let 3*g**4 + 12*g**3 + 9*g**2 - 12*g - 12 = 0. Calculate g.
-2, -1, 1
Let 24*f**5 + 68*f**4 + 20*f**3 - 60*f**2 - 44*f - 8 = 0. Calculate f.
-2, -1, -1/2, -1/3, 1
Factor -5*d**4 + 65*d**3 - 170*d**2 - 240*d.
-5*d*(d - 8)*(d - 6)*(d + 1)
Let u**5/10 + 9*u**4/10 + 2*u**3 - 2*u**2 - 48*u/5 - 32/5 = 0. Calculate u.
-4, -2, -1, 2
Let -5*b**2 + 14930*b - 11145245 = 0. Calculate b.
1493
Find m, given that -3*m**5 + 12*m**4 - 12*m**3 = 0.
0, 2
Suppose -3*g**2 - 3*g + 18 = 0. What is g?
-3, 2
Let 5*u**3 - 2175*u**2 - 5*u + 2175 = 0. What is u?
-1, 1, 435
Solve -a**5/3 + 133*a**4/3 + 1106*a**3/3 + 1026*a**2 + 1125*a + 423 = 0 for a.
-3, -1, 141
Find p such that 5*p**5 - 35*p**4 + 85*p**3 - 85*p**2 + 30*p = 0.
0, 1, 2, 3
Determine p so that 5*p**5 + 10*p**4 - 70*p**3 - 120*p**2 + 225*p + 270 = 0.
-3, -1, 2, 3
Suppose -u**3/3 + 598*u**2/3 + 1199*u/3 + 200 = 0. Calculate u.
-1, 600
Find p, given that -2*p**2/3 + 32*p/3 + 34/3 = 0.
-1, 17
Suppose -2*f**4 + 6*f**3 + 18*f**2 + 10*f = 0. Calculate f.
-1, 0, 5
Factor -5*c**4 + 10*c**3 + 15*c**2.
-5*c**2*(c - 3)*(c + 1)
Find a such that 5*a**2 - 115*a + 210 = 0.
2, 21
Factor 5*g**3/3 - 50*g**2/3 + 45*g - 30.
5*(g - 6)*(g - 3)*(g - 1)/3
Determine u so that -2*u**4 + 30*u**3 - 100*u**2 = 0.
0, 5, 10
Let 2*v**4/3 - 34*v**3/3 + 20*v**2 = 0. Calculate v.
0, 2, 15
Determine l so that -l**2/5 + 3228*l/5 - 2604996/5 = 0.
1614
Let -5*s**4/4 - 25*s**3/2 - 135*s**2/4 - 45*s/2 = 0. What is s?
-6, -3, -1, 0
Let 3*b**5/8 + 81*b**4/8 + 405*b**3/8 - 2013*b**2/8 + 45*b + 675/2 = 0. Calculate b.
-15, -1, 2
Factor -2*c**2 - 5*c/2 + 3.
-(c + 2)*(4*c - 3)/2
Factor r**3/2 - 3*r**2 - 2*r + 12.
(r - 6)*(r - 2)*(r + 2)/2
Factor -l**2/4 - 673*l/4 + 675/2.
-(l - 2)*(l + 675)/4
Suppose 3*t**2 + 2643*t - 2646 = 0. Calculate t.
-882, 1
Factor 530*q**2 + 805*q + 15.
5*(2*q + 3)*(53*q + 1)
Factor -m**2/6 - 11*m/6 + 7.
-(m - 3)*(m + 14)/6
Suppose -10*u**2 - 22*u + 24 = 0. Calculate u.
-3, 4/5
Find t, given that -27*t**3 - 4164*t**2 + 7500*t + 1872 = 0.
-156, -2/9, 2
What is n in -16*n**5 + 20*n**4 + 76*n**3 + 28*n**2 - 12*n = 0?
-1, 0, 1/4, 3
Factor -5*n**4 + 15*n**3 + 295*n**2 + 525*n + 250.
-5*(n - 10)*(n + 1)**2*(n + 5)
What is j in j**3/3 - 5*j**2/3 - j/3 + 5/3 = 0?
-1, 1, 5
Find m such that -2*m**5/21 + 22*m**4/21 - 20*m**3/21 = 0.
0, 1, 10
Let -o**2/3 + 1775*o/3 + 592 = 0. Calculate o.
-1, 1776
Factor -4*r**2 - 64*r - 60.
-4*(r + 1)*(r + 15)
Let -2*i**5/5 - 14*i**4/5 + 56*i**3/5 - 8*i**2 = 0. Calculate i.
-10, 0, 1, 2
Factor -2*i**3/7 + 24*i**2/7 + 288*i/7 - 3456/7.
-2*(i - 12)**2*(i + 12)/7
Factor -r**2/3 - 225*r - 1346/3.
-(r + 2)*(r + 673)/3
Find t such that 2*t**5/7 - 2*t**4 + 30*t**3/7 - 26*t**2/7 + 8*t/7 = 0.
0, 1, 4
Factor h**3/3 - 44*h**2/3 + 119*h/3 + 164/3.
(h - 41)*(h - 4)*(h + 1)/3
Factor -3*a**2 + 81*a - 546.
-3*(a - 14)*(a - 13)
Factor -5*z**4 + 80*z**3 - 450*z**2 + 1000*z - 625.
-5*(z - 5)**3*(z - 1)
Find f, given that -5*f**3 + 325*f**2 - 5440*f + 5120 = 0.
1, 32
Solve 3*j**2/2 - 423*j/2 = 0.
0, 141
Factor 2*x**4/7 - 10*x**3/7 - 12*x**2/7.
2*x**2*(x - 6)*(x + 1)/7
Suppose c**3/5 - 2*c**2/5 - 99*c/5 = 0. What is c?
-9, 0, 11
Determine m so that -m**3/3 + m**2/3 + 10*m/3 + 8/3 = 0.
-2, -1, 4
Solve -3*n**5 + 30*n**4 - 48*n**3 - 6*n**2 + 51*n - 24 = 0 for n.
-1, 1, 8
Suppose -1445*d**4 + 5440*d**3 - 4440*d**2 - 1280*d - 80 = 0. Calculate d.
-2/17, 2
Factor -o**4/2 + 14*o**3 - 121*o**2/2 + 69*o.
-o*(o - 23)*(o - 3)*(o - 2)/2
What is z in -z**5 + 15*z**4 - 56*z**3 + 56*z**2 + 48*z - 80 = 0?
-1, 2, 10
Let 4*w**4 + 128*w**3 + 888*w**2 + 1408*w + 644 = 0. Calculate w.
-23, -7, -1
What is d in -3*d**4 + 168*d**3 - 2178*d**2 - 4872*d - 2523 = 0?
-1, 29
Factor 2*i**2 - 380*i + 18050.
2*(i - 95)**2
Factor 8*n**2 - 118*n - 30.
2*(n - 15)*(4*n + 1)
Determine u so that 3*u**4/2 + 15*u**3/2 - 27*u**2 - 30*u + 84 = 0.
-7, -2, 2
Find f, given that f**4/2 - 9*f**3 - 61*f**2/2 - 21*f = 0.
-2, -1, 0, 21
Suppose -4*a**2 + 5004*a + 5008 = 0. Calculate a.
-1, 1252
Factor 3*j**2 + 276*j + 6348.
3*(j + 46)**2
Let 2*b**5/13 - 4*b**4/13 - 28*b**3/13 - 16*b**2/13 + 2*b + 20/13 = 0. What is b?
-2, -1, 1, 5
Factor 5*g**4 + 825*g**3 - 5*g**2 - 825*g.
5*g*(g - 1)*(g + 1)*(g + 165)
What is y in 5*y**5 + 10*y**4 - 10*y**3 - 40*y**2 - 35*y - 10 = 0?
-1, 2
Factor -2*z**3 - 12*z**2 + 18*z + 28.
-2*(z - 2)*(z + 1)*(z + 7)
Suppose 4*v**5 + 8*v**4 - 8*v**2 - 4*v = 0. What is v?
-1, 0, 1
Let -14*z**4/9 - 178*z**3/9 - 104*z**2/3 + 664*z/9 - 160/9 = 0. Calculate z.
-10, -4, 2/7, 1
What is s in 2*s**3/11 - 14*s**2/11 - 8*s/11 + 56/11 = 0?
-2, 2, 7
Suppose 3*q**5/4 + 6*q**4 + 33*q**3/4 - 6*q**2 - 9*q = 0. Calculate q.
-6, -2, -1, 0, 1
Let -p**2 - 62*p + 63 = 0. What is p?
-63, 1
Factor -5*t**4 + 100*t**3 - 95*t**2.
-5*t**2*(t - 19)*(t - 1)
Factor -4*g**3/15 + 18*g**2/5 - 26*g/15.
-2*g*(g - 13)*(2*g - 1)/15
Factor -2*o**5/3 + 4*o**4/3.
-2*o**4*(o - 2)/3
Factor -4*l**4 - 12*l**3 + 20*l**2 + 12*l - 16.
-4*(l - 1)**2*(l + 1)*(l + 4)
Find s such that 3*s**4/4 - 51*s**3/4 - 3*s**2 + 51*s = 0.
-2, 0, 2, 17
Solve -25*z**2 + 1535*z - 610 = 0 for z.
2/5, 61
Solve -15*h**4/7 + 384*h**3/7 - 2379*h**2/7 - 1014*h/7 = 0 for h.
-2/5, 0, 13
Determine z so that 3*z**3/5 + 9*z**2 + 132*z/5 = 0.
-11, -4, 0
What is s in -16*s**5/7 - 474*s**4/7 + 2852*s**3/7 - 774*s**2 + 3896*s/7 - 120 = 0?
-35, 3/8, 1, 2
Find o such that -2*o**5/3 + 2*o**4/3 + 4*o**3 + 4*o**2/3 - 10*o/3 - 2 = 0.
-1, 1, 3
Factor 4*q**4/7 + 184*q**3/7 + 1924*q**2/7 - 4416*q/7 + 2304/7.
4*(q - 1)**2*(q + 24)**2/7
Factor 2*i**3 - 270*i**2 + 5214*i + 287086.
2*(i - 79)**2*(i + 23)
Let -3*j**3 - 315*j**2 - 312*j = 0. What is j?
-104, -1, 0
Find j, given that -3*j**5 + 6*j**4 + 18*j**3 - 60*j**2 + 57*j - 18 = 0.
-3, 1, 2
Let 8*y**5/5 + 14*y**4 + 142*y**3/5 + 56*y**2/5 - 24*y/5 = 0. What is y?
-6, -2, -1, 0, 1/4
Determine k, given that -36*k**3 + 892*k**2 + 3224*k + 672 = 0.
-3, -2/9, 28
Determine y so that -3*y**4/2 + 57*y**3/2 - 177*y**2/2 - 57*y/2 + 90 = 0.
-1, 1, 4, 15
Suppose 4*n**2 - 932*n + 4560 = 0. What is n?
5, 228
Let 2*w**5 - 2*w**4 - 20*w**3 - 16*w**2 = 0. What is w?
-2, -1, 0, 4
Let 2*q**3 - 670*q**2 + 2654*q - 1986 = 0. What is q?
1, 3, 331
Determine d, given that -9*d**5/8 + 358*d**4 - 231009*d**3/8 + 251695*d**2/4 - 81291*d/2 + 6241 = 0.
2/9, 1, 158
What is b in -5*b**5/2 + 105*b**4/2 - 95*b**3/2 - 105*b**2/2 + 50*b = 0?
-1, 0, 1, 20
Factor 2*t**2/11 + 918*t/11 - 920/11.
2*(t - 1)*(t + 460)/11
What is o in 2*o**5 - 102*o**4 + 884*o**3 - 2688*o**2 + 2624*o = 0?
0, 2, 4, 41
Determine k, given that -5*k**5 + 10*k**4 + 5*k**3 - 10*k**2 = 0.
-1, 0, 1, 2
Factor -4*r**4/7 - 4*r**3/7 + 24*r**2/7.
-4*r**2*(r - 2)*(r + 3)/7
Determine w, given that 3*w**5/2 + 111*w**4/2 + 288*w**3 - 4044*w**2 + 10824*w - 8712 = 0.
-22, 2, 3
Factor 2*m**4/5 - 16*m**3/5 - 8*m**2.
2*m**2*(m - 10)*(m + 2)/5
Factor -2*t**3/15 + 4*t**2/15 + 2*t/3 - 4/5.
-2*(t - 3)*(t - 1)*(t + 2)/15
Find s, given that -s**4/8 - 15*s**3/8 - 75*s**2/8 - 125*s/8 = 0.
-5, 0
Find m such that 3*m**4 + 12*m**3 - 33*m**2 + 18*m = 0.
-6, 0, 1
Factor -2*i**4/7 + 66*i**3/7 + 30*i**2 + 214*i/7 + 72/7.
-2*(i - 36)*(i + 1)**3/7
Suppose b**4/6 - 17*b**3/3 + 107*b**2/2 - 272*b/3 + 128/3 = 0. Calculate b.
1, 16
Let 3*g**5 - 12*g**4 + 3*g*