c.
-1, 1, 96
Determine u so that 2*u**5/19 + 6*u**4/19 - 12*u**3/19 - 16*u**2/19 = 0.
-4, -1, 0, 2
Factor y**2/3 - 4*y/3.
y*(y - 4)/3
Factor f**4 + 60*f**3 + 1053*f**2 + 4374*f.
f*(f + 6)*(f + 27)**2
Factor -4*k**5 + 12*k**4 - 16*k**2.
-4*k**2*(k - 2)**2*(k + 1)
Factor 2*h**3 - 20*h**2 + 50*h.
2*h*(h - 5)**2
Find v, given that -3*v**5 - 6*v**4 + 24*v**3 + 54*v**2 + 27*v = 0.
-3, -1, 0, 3
Find m such that 2*m**5/9 - 4*m**4 + 76*m**3/9 + 752*m**2/9 + 374*m/3 + 484/9 = 0.
-2, -1, 11
Solve -p**2/8 + 7*p/2 - 195/8 = 0 for p.
13, 15
Solve -2*s**4 + 232*s**3 + 708*s**2 + 712*s + 238 = 0 for s.
-1, 119
Factor -10*b**3/3 - 41*b**2/3 + 5*b/3 + 12.
-(b + 1)*(b + 4)*(10*b - 9)/3
Solve -i**2/2 + 34*i - 67/2 = 0.
1, 67
Factor -2*t**5 + 92*t**4 - 84*t**3 - 280*t**2 + 454*t - 180.
-2*(t - 45)*(t - 1)**3*(t + 2)
Factor -5*z**3 - 25*z**2 + 40*z + 240.
-5*(z - 3)*(z + 4)**2
Factor -5*g**2 + 140*g.
-5*g*(g - 28)
Factor 2*z**2/7 + 50*z/7 + 300/7.
2*(z + 10)*(z + 15)/7
Let r**4/7 - 4*r**3/7 - 181*r**2/7 + 1384*r/7 - 2640/7 = 0. What is r?
-15, 4, 11
Factor 2*a**2 - 100*a - 318.
2*(a - 53)*(a + 3)
Find t such that 2*t**4 - 236*t**3 + 234*t**2 = 0.
0, 1, 117
Factor s**2/2 + 55*s + 3025/2.
(s + 55)**2/2
Let 3*s**3 - 1128*s**2 + 15351*s - 53214 = 0. What is s?
7, 362
Let -u**4 - 32*u**3 - 255*u**2 + 32*u + 256 = 0. Calculate u.
-16, -1, 1
Let 3*i**4 + 1851*i**3 - 5571*i**2 + 5577*i - 1860 = 0. Calculate i.
-620, 1
Determine q so that -2*q**2/3 + 4*q/3 - 2/3 = 0.
1
Suppose -4*h**3 + 16*h**2 + 84*h = 0. Calculate h.
-3, 0, 7
Determine k, given that -2*k**5/3 - 8*k**4/3 - 2*k**3 = 0.
-3, -1, 0
Factor -124*m**2/3 - 25924*m/3 - 1672/3.
-4*(m + 209)*(31*m + 2)/3
Factor -5*y**5 + 10*y**4 + 75*y**3 - 180*y**2.
-5*y**2*(y - 3)**2*(y + 4)
Factor -o**5/2 - 7*o**4/2 + 24*o**3 + 304*o**2 + 1024*o + 1152.
-(o - 9)*(o + 4)**4/2
Find r such that -2*r**4 + 42*r**3 - 240*r**2 - 128*r + 3072 = 0.
-3, 8
Factor -14*d**4/9 + 34*d**3/9 + 8*d**2/3.
-2*d**2*(d - 3)*(7*d + 4)/9
Determine s so that -10*s**5/9 - 14*s**4 - 488*s**3/9 - 704*s**2/9 - 64*s/3 + 224/9 = 0.
-7, -2, 2/5
Suppose a**4/2 - 62*a**3 + 603*a**2/2 - 478*a + 238 = 0. Calculate a.
1, 2, 119
Find v such that 3*v**5/4 + 4*v**4 + 21*v**3/4 - v**2 - 3*v = 0.
-3, -2, -1, 0, 2/3
Find c, given that 3*c**4 + 537*c**3 - 1089*c**2 - 537*c + 1086 = 0.
-181, -1, 1, 2
Factor 4*n**2/7 - 2468*n/7 + 352.
4*(n - 616)*(n - 1)/7
Factor 2*z**2/5 + 432*z/5 + 23328/5.
2*(z + 108)**2/5
Solve -3*w**2/7 - 33*w/7 - 90/7 = 0 for w.
-6, -5
Let 58*z**2/19 - 1396*z/19 + 96/19 = 0. Calculate z.
2/29, 24
Factor 2*p**2/5 + 224*p/5 + 6272/5.
2*(p + 56)**2/5
Factor 2*i**2/5 - 2*i + 8/5.
2*(i - 4)*(i - 1)/5
Suppose a**4 - 620*a**3 + 95478*a**2 + 192820*a + 96721 = 0. What is a?
-1, 311
Factor 4*m**3 + 8*m**2 - 100*m - 200.
4*(m - 5)*(m + 2)*(m + 5)
Solve -4*w**2/7 - 28*w - 552/7 = 0.
-46, -3
Solve -8*l**3/11 - 16734*l**2/11 + 20928*l/11 - 4186/11 = 0.
-2093, 1/4, 1
Factor -3*v**2 - 1416*v - 167088.
-3*(v + 236)**2
Solve 3*p**3/5 + 36*p**2 - 372*p/5 = 0 for p.
-62, 0, 2
Find z such that z**4 + 33*z**3 + 218*z**2 - 900*z + 648 = 0.
-18, 1, 2
Factor -2*y**3 + 2*y**2 + 34*y + 30.
-2*(y - 5)*(y + 1)*(y + 3)
Factor -2*p**3/11 - 56*p**2/11 - 104*p/11.
-2*p*(p + 2)*(p + 26)/11
Factor -2*v**3/5 - 2*v**2 + 2*v/5 + 2.
-2*(v - 1)*(v + 1)*(v + 5)/5
Factor g**5/4 - 6*g**4 + 53*g**3 - 441*g**2/2 + 1755*g/4 - 675/2.
(g - 10)*(g - 5)*(g - 3)**3/4
Factor -2*n**2 - 1224*n - 187272.
-2*(n + 306)**2
What is p in -4*p**3 - 416*p**2 + 420*p = 0?
-105, 0, 1
Suppose -2*o**3/7 + 10*o**2/7 - 4*o/7 - 16/7 = 0. Calculate o.
-1, 2, 4
Factor f**5 + 12*f**4 + 53*f**3 + 106*f**2 + 96*f + 32.
(f + 1)**2*(f + 2)*(f + 4)**2
Factor 4*n**4 + 3900*n**3 + 1267500*n**2 + 137312500*n.
4*n*(n + 325)**3
Solve 4*d**2 - 12*d - 16 = 0 for d.
-1, 4
Solve 3*m**5 + 6*m**4 - 81*m**3 + 156*m**2 - 84*m = 0 for m.
-7, 0, 1, 2
Factor -w**2/10 + 1248*w/5 - 778752/5.
-(w - 1248)**2/10
Factor 3*n**4 + 21*n**3 - 90*n**2.
3*n**2*(n - 3)*(n + 10)
Suppose -3*h**5 - 2031*h**4 - 342729*h**3 + 344763*h**2 = 0. Calculate h.
-339, 0, 1
Let 4*z**5 - 16*z**3 - 8*z**2 + 12*z + 8 = 0. Calculate z.
-1, 1, 2
Determine t, given that -108*t**4 - 3988*t**3 + 296*t**2 = 0.
-37, 0, 2/27
Determine k, given that -6*k**3/5 - 8748*k**2/5 - 4251528*k/5 - 688747536/5 = 0.
-486
Determine h so that -2*h**5/5 - 2*h**4/5 + 2*h**3 + 2*h**2/5 - 16*h/5 + 8/5 = 0.
-2, 1
Factor -5*m**2 + 65*m - 200.
-5*(m - 8)*(m - 5)
Factor -n**4/6 + 37*n**3/6 - 17*n**2/3 - 12*n.
-n*(n - 36)*(n - 2)*(n + 1)/6
Factor -2*m**3/5 - 958*m**2/5.
-2*m**2*(m + 479)/5
Factor -2*s**3 + 7358*s**2 - 6771198*s + 6763842.
-2*(s - 1839)**2*(s - 1)
Suppose -4*u**3 - 992*u**2 - 57344*u + 524288 = 0. Calculate u.
-128, 8
Factor -4*q**2 + 16*q + 48.
-4*(q - 6)*(q + 2)
Suppose -2*y**3 - 478*y**2 - 27830*y + 87846 = 0. What is y?
-121, 3
Find n, given that -n**5/12 + 5*n**4/6 - 7*n**3/3 - 2*n**2/3 + 32*n/3 - 32/3 = 0.
-2, 2, 4
Let -58*h**2 + 346*h + 12 = 0. What is h?
-1/29, 6
Factor -5*o**3 + 15*o**2 - 10*o.
-5*o*(o - 2)*(o - 1)
Factor 3*y**3/2 - 87*y**2 - 183*y/2 + 177.
3*(y - 59)*(y - 1)*(y + 2)/2
Determine w so that 5*w**5 + 185*w**4 - 1270*w**3 + 890*w**2 + 1265*w - 1075 = 0.
-43, -1, 1, 5
Let o**4 + 6*o**3 + 9*o**2 = 0. What is o?
-3, 0
Factor 28*k**2 + 212*k.
4*k*(7*k + 53)
Solve 4*p**3 - 104*p**2 - 924*p = 0 for p.
-7, 0, 33
Let -4*j**4 - 180*j**3 + 376*j**2 = 0. What is j?
-47, 0, 2
Suppose 2*w**4/11 + 328*w**3/11 + 146*w**2 + 232*w + 1272/11 = 0. What is w?
-159, -2, -1
Let -3*t**5 + 486*t**4 + 984*t**3 = 0. Calculate t.
-2, 0, 164
Determine o, given that o**4/8 + 11*o**3/8 - 3*o**2/8 - 31*o/8 + 11/4 = 0.
-11, -2, 1
Let -2*i**4/5 + 72*i**3/5 - 806*i**2/5 + 3168*i/5 - 2432/5 = 0. Calculate i.
1, 8, 19
Factor 2*i**4/9 + 8*i**3/3 + 40*i**2/9.
2*i**2*(i + 2)*(i + 10)/9
Factor 4*f**3/7 + 76*f**2/7 + 36*f + 180/7.
4*(f + 1)*(f + 3)*(f + 15)/7
Factor -g**4/5 + g**3 - 8*g**2/5 + 4*g/5.
-g*(g - 2)**2*(g - 1)/5
Solve -4*n**2/9 + 28*n/3 - 152/9 = 0 for n.
2, 19
Solve -2*g**2/5 + 422*g/5 + 1284/5 = 0.
-3, 214
Suppose 3*u**3/5 + 6*u**2/5 - 33*u/5 - 36/5 = 0. What is u?
-4, -1, 3
Factor -4*u**2 + 80*u - 384.
-4*(u - 12)*(u - 8)
Factor 25*g**3 + 4365*g**2 - 1750*g.
5*g*(g + 175)*(5*g - 2)
Solve 4*k**5/13 + 22*k**4 + 4740*k**3/13 - 13394*k**2/13 + 5476*k/13 = 0.
-37, 0, 1/2, 2
Factor -2*v**2 - 348*v - 2016.
-2*(v + 6)*(v + 168)
Let y**4 - 2*y**3 - 15*y**2 - 4*y + 20 = 0. What is y?
-2, 1, 5
Factor 4*t**5 - 12*t**4 + 8*t**3.
4*t**3*(t - 2)*(t - 1)
Factor 5*w**2/2 - 300*w + 9000.
5*(w - 60)**2/2
Factor 2*a**2 - 76*a + 144.
2*(a - 36)*(a - 2)
Solve 18*p**5 - 94*p**4 + 182*p**3 - 162*p**2 + 64*p - 8 = 0 for p.
2/9, 1, 2
Suppose -5*q**5 + 145*q**4 - 1655*q**3 + 9275*q**2 - 25480*q + 27440 = 0. What is q?
4, 7
Suppose 2*o**3/7 - 60*o**2/7 + 366*o/7 + 988/7 = 0. Calculate o.
-2, 13, 19
Determine m so that 10*m**3/19 - 534*m**2/19 + 4172*m/19 - 1584/19 = 0.
2/5, 9, 44
Factor -5*f**2 - 840*f.
-5*f*(f + 168)
Let -3*q**2 + 6045*q = 0. What is q?
0, 2015
Determine n, given that -2*n**3 + 62*n**2 + 8*n - 248 = 0.
-2, 2, 31
Factor 2*v**3/7 + 28*v**2 - 1506*v/7 - 540.
2*(v - 9)*(v + 2)*(v + 105)/7
Factor 35*v**5 - 460*v**4 + 815*v**3 - 390*v**2.
5*v**2*(v - 1)**2*(7*v - 78)
Suppose 21*z**5/4 - 46*z**4 + 455*z**3/4 - 45*z**2 - 44*z + 16 = 0. What is z?
-4/7, 1/3, 1, 4
Solve 4*w**3/5 - 448*w**2/5 - 924*w/5 + 1368/5 = 0 for w.
-3, 1, 114
Find b such that 5*b**4 - 265*b**3 - 5445*b**2 - 5175*b = 0.
-15, -1, 0, 69
Factor -l**3 + 2*l**2 + 5*l - 6.
-(l - 3)*(l - 1)*(l + 2)
Factor o**5 - 4*o**4 - 7*o**3 + 10*o**2.
o**2*(o - 5)*(o - 1)*(o + 2)
Factor 4*b**2 + 248*b - 780.
4*(b - 3)*(b + 65)
Factor -3*r**3 + 15*r**2 + 6*r - 72.
-3*(r - 4)*(r - 3)*(r + 2)
Determine d, given that -4*d**3 + 56*d**2 - 160*d = 0.
0, 4, 10
Suppose 15*y**4 - 12*y**3 - 18*y**2 + 12*y + 3 = 0. Calculate y.
-1, -1/5, 1
Factor -2*m**2/7 - 1388*m - 1685726.
-2*(m + 2429)**2/7
Factor -4*v**3/5 + 8*v**2/5 + 12*v/5.
-4*v*(v - 3)*(v + 1)/5
Suppose m**5/2 - 10*m**4 - 46*m**3 - 48*m**2 = 0. Calculate m.
-2, 0, 24
Suppose -4*v**2/3 + 80*v - 228 = 0. What is v?
3, 57
Factor 5*d**5 + 1015*d**4 + 67295*d**3 + 1361025*d**2 - 6284520*d + 6570180.
5*(d - 2)**2*(d + 69)**3
Factor -3241058*a**2/9 + 5092*a/9 - 2/9.
-2*(1273*a - 1)**2/9
Find j, given that 30*j**3