13.
-2*(d - 1)**2*(d + 6)/13
Suppose 5*b**2 - 610*b + 18605 = 0. Calculate b.
61
Find i such that -2*i**5/17 - 332*i**4/17 + 4*i**3/17 + 664*i**2/17 - 2*i/17 - 332/17 = 0.
-166, -1, 1
Factor -2*v**4/9 + 104*v**3/3 - 1836*v**2 + 34680*v - 88434.
-2*(v - 51)**3*(v - 3)/9
Solve -v**5/7 + 43*v**4/7 - 435*v**3/7 - 101*v**2 + 2552*v/7 - 1452/7 = 0 for v.
-3, 1, 22
Factor 2*y**4 - 10*y**3 - 78*y**2 + 530*y - 700.
2*(y - 5)**2*(y - 2)*(y + 7)
Find c such that 3262*c**3 - 946*c**2 + 4*c = 0.
0, 1/233, 2/7
Factor 5*t**4 + 65*t**3 + 250*t**2 + 160*t - 480.
5*(t - 1)*(t + 4)**2*(t + 6)
Factor -3*p**4 + 39*p**3 - 144*p**2 + 204*p - 96.
-3*(p - 8)*(p - 2)**2*(p - 1)
Let -o**2 + 6*o + 16 = 0. Calculate o.
-2, 8
Solve -2*a**2 - 15256*a - 29093192 = 0.
-3814
Factor q**4/2 - 10*q**3 + 63*q**2 - 162*q + 297/2.
(q - 11)*(q - 3)**3/2
Find a such that -3*a**4 - 90*a**3 - 576*a**2 + 1536*a = 0.
-16, 0, 2
Find q such that -86*q**2/3 - 176*q/3 - 8/3 = 0.
-2, -2/43
Factor -60*b**5 + 238*b**4 - 232*b**3 - 8*b**2.
-2*b**2*(b - 2)**2*(30*b + 1)
Let -i**2/4 - 169*i - 28561 = 0. What is i?
-338
Factor -w**3 - 44*w**2 - 484*w.
-w*(w + 22)**2
Factor -v**4/3 - 2*v**3 + 4*v**2 + 38*v/3 + 7.
-(v - 3)*(v + 1)**2*(v + 7)/3
Find k, given that -2*k**5/9 + 524*k**4/3 - 34322*k**3 = 0.
0, 393
Find c such that -c**2/6 + 19*c/6 + 10/3 = 0.
-1, 20
Find j, given that -j**5/6 + 19*j**4/3 - 212*j**3/3 + 559*j**2/3 + 425*j/6 - 578/3 = 0.
-1, 1, 4, 17
Let -324723*a**5/5 + 260568*a**4 + 1607811*a**3/5 - 19692*a**2/5 + 12*a = 0. Calculate a.
-1, 0, 2/329, 5
Factor -3*v**2 - 39*v + 1014.
-3*(v - 13)*(v + 26)
Factor -u**2 + 6*u + 16.
-(u - 8)*(u + 2)
Suppose -176*l**3/7 - 36*l**2 + 194*l/7 - 12/7 = 0. Calculate l.
-2, 3/44, 1/2
Factor 2*s**3/15 + 3166*s**2/15 - 6338*s/15 + 634/3.
2*(s - 1)**2*(s + 1585)/15
Factor 2*q**5 - 10*q**4 + 2*q**3 + 42*q**2 - 36*q.
2*q*(q - 3)**2*(q - 1)*(q + 2)
Factor -m**5/4 - 13*m**4/4 - 21*m**3/2 - 29*m**2/2 - 37*m/4 - 9/4.
-(m + 1)**4*(m + 9)/4
Find d such that -d**2/3 + d/3 + 2/3 = 0.
-1, 2
Suppose 4*y**3/5 + 28*y**2/5 - 4*y/5 - 28/5 = 0. Calculate y.
-7, -1, 1
Factor 2*h**5 - 10*h**4 + 6*h**3 + 18*h**2.
2*h**2*(h - 3)**2*(h + 1)
Factor u**2/2 + 132*u + 8712.
(u + 132)**2/2
Determine u so that 3*u**5 - 30*u**4 + 66*u**3 + 84*u**2 - 165*u - 150 = 0.
-1, 2, 5
Factor -3*w**3/4 - 33*w**2/2 - 267*w/4 - 51.
-3*(w + 1)*(w + 4)*(w + 17)/4
Let 5*f**3 + 30*f**2 - 75*f - 500 = 0. Calculate f.
-5, 4
Factor 8*y**3 + 534*y**2 + 1882*y - 504.
2*(y + 4)*(y + 63)*(4*y - 1)
Factor -2*q**2 + 1028*q - 132098.
-2*(q - 257)**2
Factor -k**2/6 + 878*k/3 - 385442/3.
-(k - 878)**2/6
Determine k so that -9*k**5 - 339*k**4/2 - 1098*k**3 - 2592*k**2 - 648*k + 1944 = 0.
-6, -3/2, 2/3
Let -2*v**3/5 - 386*v**2/5 - 3686*v + 18818/5 = 0. What is v?
-97, 1
Factor -i**3/2 - 33*i**2/2 - 15*i + 32.
-(i - 1)*(i + 2)*(i + 32)/2
Find u, given that 4*u**5 - 24*u**4 + 48*u**3 - 40*u**2 + 12*u = 0.
0, 1, 3
Determine c, given that c**2/6 + 503*c/6 + 251/3 = 0.
-502, -1
Find s, given that 3*s**2/2 - 63*s - 5292 = 0.
-42, 84
Determine j so that j**3 - 82*j**2 - 253*j - 170 = 0.
-2, -1, 85
Factor -3*d**2/8 + 1149*d/8 - 1143/4.
-3*(d - 381)*(d - 2)/8
Determine o, given that -4*o**3 + 1204*o**2 + 9824*o + 19776 = 0.
-4, 309
Factor -4*k**3 + 480*k**2 - 13908*k - 29768.
-4*(k - 61)**2*(k + 2)
Determine b so that -5*b**3/6 + 73*b**2/6 + 5*b = 0.
-2/5, 0, 15
Find w such that -2*w**2/9 - 8*w/3 - 22/9 = 0.
-11, -1
Suppose -2*u**4/3 + 44*u**3/3 - 104*u**2 + 252*u - 162 = 0. What is u?
1, 3, 9
Factor -2*t**5 - 18*t**4 - 30*t**3 - 14*t**2.
-2*t**2*(t + 1)**2*(t + 7)
Determine s, given that -12*s**4 + 116*s**3 - 344*s**2 + 256*s + 128 = 0.
-1/3, 2, 4
Factor -45*h**3 + 18804*h**2 - 1963137*h - 262086.
-3*(h - 209)**2*(15*h + 2)
Factor 4*l**4 + 16*l**3 - 24*l**2 - 16*l + 20.
4*(l - 1)**2*(l + 1)*(l + 5)
Determine l so that -2*l**5/13 + 20*l**4/13 + 526*l**3/13 - 4536*l**2/13 - 17640*l/13 = 0.
-15, -3, 0, 14
Factor -2*b**2/9 + 20*b/9 + 176/3.
-2*(b - 22)*(b + 12)/9
Factor 4*b**4 - 88*b**3 + 228*b**2.
4*b**2*(b - 19)*(b - 3)
Factor 3*y**5 - 27*y**4 + 42*y**3 + 6*y**2 - 45*y + 21.
3*(y - 7)*(y - 1)**3*(y + 1)
Factor 33*a**2/4 + 57*a/2 - 18.
3*(a + 4)*(11*a - 6)/4
Suppose 2*v**3/7 + 102*v**2/7 + 28*v = 0. Calculate v.
-49, -2, 0
Factor -i**2/3 + 2*i/3 + 323/3.
-(i - 19)*(i + 17)/3
Find j such that 2*j**4 - 38*j**3 - 6*j**2 + 110*j + 76 = 0.
-1, 2, 19
Factor -3*k**2 + 439*k/3 + 98/3.
-(k - 49)*(9*k + 2)/3
Solve 5*a**2 - 335*a + 2850 = 0 for a.
10, 57
Let 3*d**3/7 - 6*d**2/7 = 0. What is d?
0, 2
What is v in v**3/2 + 25*v**2/2 + 143*v/2 - 169/2 = 0?
-13, 1
What is n in -n**5 + 61*n**4 - 343*n**3 + 727*n**2 - 664*n + 220 = 0?
1, 2, 55
Suppose -18*p**5/7 + 102*p**4/7 + 16*p**3/7 - 424*p**2/7 - 64*p - 128/7 = 0. What is p?
-1, -2/3, 4
Factor -5*w**3 + 185*w**2 - 355*w + 175.
-5*(w - 35)*(w - 1)**2
Factor l**3 + 113*l**2 + 3248*l + 3136.
(l + 1)*(l + 56)**2
Factor 2*c**3/3 - 52*c**2/3 - 58*c/3 + 36.
2*(c - 27)*(c - 1)*(c + 2)/3
Factor q**2/7 + 12*q - 91.
(q - 7)*(q + 91)/7
Find t, given that -3*t**3/2 - 3*t**2 + 9*t/2 = 0.
-3, 0, 1
Determine j, given that -3*j**2 - 252*j - 5292 = 0.
-42
Determine k, given that 49*k**3/3 + 1540*k**2/3 - 892*k/3 + 128/3 = 0.
-32, 2/7
Solve i**2/2 - 444*i + 98568 = 0 for i.
444
Solve -j**2/4 + 23*j/4 - 63/2 = 0.
9, 14
Factor 2*p**2 - 1138*p/9 + 28.
2*(p - 63)*(9*p - 2)/9
Solve 2*v**4/9 - 8*v**3 + 260*v**2/3 - 1352*v/9 - 4394/3 = 0.
-3, 13
Let -3*h**4 + 117*h**3 - 804*h**2 + 1908*h - 1488 = 0. Calculate h.
2, 4, 31
Solve 50*g**3/19 - 2*g + 12/19 = 0.
-1, 2/5, 3/5
Determine i so that -4*i**4 + 44*i**3 - 20*i**2 - 1100*i + 3000 = 0.
-5, 5, 6
Find i, given that 2*i**5 - 145*i**4 + 490*i**3 - 485*i**2 + 138*i = 0.
0, 1/2, 1, 2, 69
Factor -108*p**3 - 288*p**2 + 105*p - 9.
-3*(p + 3)*(6*p - 1)**2
Factor 2*y**5/9 - 466*y**4/9 + 1844*y**3/9 - 2756*y**2/9 + 1834*y/9 - 458/9.
2*(y - 229)*(y - 1)**4/9
Factor -3*b**3 - 129*b**2 - 693*b - 999.
-3*(b + 3)**2*(b + 37)
Find z, given that -2*z**4 + 131*z**3/2 - 1119*z**2/2 + 368*z + 128 = 0.
-1/4, 1, 16
Let 3*v**2 - 30*v + 63 = 0. Calculate v.
3, 7
Find v, given that -3*v**2/5 - 124*v - 412/5 = 0.
-206, -2/3
Determine a so that 5*a**2 + 980*a + 4775 = 0.
-191, -5
Solve b**5/2 - 10*b**4 - 69*b**3/2 - 2*b**2 + 46*b = 0 for b.
-2, 0, 1, 23
Factor -i**2 + 5*i - 6.
-(i - 3)*(i - 2)
Factor v**5 + 17*v**4 - 20*v**3 - 36*v**2.
v**2*(v - 2)*(v + 1)*(v + 18)
Factor 5*t**2 + 2210*t - 4440.
5*(t - 2)*(t + 444)
Factor -2*y**2/13 + 810*y/13 + 812/13.
-2*(y - 406)*(y + 1)/13
Suppose u**4 + 24*u**3 + 144*u**2 + 256*u = 0. What is u?
-16, -4, 0
Suppose 2*n**3/13 + 28*n**2/13 - 16*n - 1152/13 = 0. What is n?
-18, -4, 8
Find b such that 4*b**4 + 200*b**3 + 2500*b**2 = 0.
-25, 0
What is y in 5*y**2 - 235*y = 0?
0, 47
Factor n**4 + 402*n**3 + 3564*n**2 + 10638*n + 10611.
(n + 3)**3*(n + 393)
Factor 5*z**4 + 175*z**3 + 1770*z**2 + 4160*z + 2560.
5*(z + 1)*(z + 2)*(z + 16)**2
Solve -3*h**5 + 39*h**4 - 57*h**3 - 663*h**2 + 1356*h - 672 = 0 for h.
-4, 1, 7, 8
Factor 3*i**4 - 54*i**3 - 3*i**2 + 54*i.
3*i*(i - 18)*(i - 1)*(i + 1)
Factor o**4/5 + 38*o**3/5 - 8*o**2 - 38*o/5 + 39/5.
(o - 1)**2*(o + 1)*(o + 39)/5
Factor 5*h**5 + 85*h**4 - 185*h**3 + 95*h**2.
5*h**2*(h - 1)**2*(h + 19)
Factor 5*n**3 + 550*n**2 - 5*n - 550.
5*(n - 1)*(n + 1)*(n + 110)
Factor 5*d**3 - 120*d**2 + 225*d - 110.
5*(d - 22)*(d - 1)**2
Suppose 2*i**3/5 + 28*i**2 - 142*i/5 = 0. Calculate i.
-71, 0, 1
Factor -3*t**4 - 48*t**3 - 234*t**2 - 336*t - 147.
-3*(t + 1)**2*(t + 7)**2
Factor -2*c**2/5 - 26*c/5 - 24/5.
-2*(c + 1)*(c + 12)/5
Factor 2*v**5 + 2*v**4 - 16*v**3 - 24*v**2.
2*v**2*(v - 3)*(v + 2)**2
Solve -4*t**2 + 3004*t + 3008 = 0.
-1, 752
Find q such that -28*q**2 + 1592*q + 1856 = 0.
-8/7, 58
Let 5*r**3 - 11*r**2 - 12*r = 0. Calculate r.
-4/5, 0, 3
Find r, given that r**5/7 + 16*r**4/7 + 12*r**3/7 - 50*r**2/7 - 11*r - 30/7 = 0.
-15, -1, 2
What is c in 8*c**5 - 38*c**4/5 - 122*c**3/5 + 194*c**2/5 - 14*c - 4/5 = 0?
-2, -1/20, 1
Factor -l**3/3 + 169*l**2/3 - 329*l + 489.
-(l - 163)*(l - 3)**2/3
Let -2*j**2 - 180*j = 0. Calculate j.
-90, 0
Suppose 3*z**5 + 90*z**4 + 396*z**3 + 534*z**2 + 225*z = 0. Calculate z.
-25, -3, -1, 0
Determine h, given that -3*h**3/2 + 39*h/2 + 18 = 0.
-3, -1, 4
What is k in k**2/4 + 313*k/2 + 625/4 