*2.
5*n**2*(n - 3)*(n + 206)
Suppose 4*y**4 + 2060*y**3 - 6204*y**2 + 6212*y - 2072 = 0. Calculate y.
-518, 1
Factor -4*m**3/5 - 548*m**2/5 + 552*m/5.
-4*m*(m - 1)*(m + 138)/5
Suppose 4*x**4 - 18172*x**3 + 26977812*x**2 - 12237563860*x - 1263735602408 = 0. What is x?
-86, 1543
Factor -374544*o**2 - 26928*o - 484.
-4*(306*o + 11)**2
Factor -2*c**3 - 25228*c**2 - 79556498*c.
-2*c*(c + 6307)**2
Let n**4 - 15115*n**3 - n**2 + 15115*n = 0. What is n?
-1, 0, 1, 15115
Let -40*h**5/3 - 764*h**4/3 - 4396*h**3/3 - 9872*h**2/3 - 7984*h/3 - 704/3 = 0. What is h?
-11, -4, -2, -1/10
Factor 2*a**4 + 126*a**3 + 2372*a**2 + 12096*a + 15680.
2*(a + 2)*(a + 5)*(a + 28)**2
Determine f, given that -5*f**5 + 1255*f**4 + 15550*f**3 + 60190*f**2 + 78775*f + 32875 = 0.
-5, -1, 263
Determine m, given that -4*m**3 + 16956*m**2 - 1106028*m + 18177588 = 0.
33, 4173
Determine d so that 5*d**2 + 109075*d + 109070 = 0.
-21814, -1
Determine c, given that -c**2 + 1582*c/9 + 352/9 = 0.
-2/9, 176
Factor -14*k**2/13 - 17548*k/13 + 403216/13.
-2*(k + 1276)*(7*k - 158)/13
Suppose -5*v**2 - 189945*v - 569790 = 0. Calculate v.
-37986, -3
Find w such that -w**4 - 4979*w**3 + 4980*w**2 = 0.
-4980, 0, 1
Factor -44*c**3 - 1248*c**2 + 828*c + 464.
-4*(c - 1)*(c + 29)*(11*c + 4)
Let -2*y**3/7 + 8514*y**2/7 - 34024*y/7 = 0. What is y?
0, 4, 4253
Determine d so that 2*d**4/15 - 16*d**3/3 + 218*d**2/5 - 552*d/5 + 72 = 0.
1, 3, 6, 30
Factor -5*j**3 - 4630*j**2 + 18580*j - 18600.
-5*(j - 2)**2*(j + 930)
Factor 2*g**2/9 - 4312*g/9 + 119168/9.
2*(g - 2128)*(g - 28)/9
Determine f, given that -f**5 - 48*f**4 - 288*f**3 + 6862*f**2 - 21663*f + 15138 = 0.
-29, 1, 3, 6
Factor -4*i**4/7 + 39780*i**3/7 - 221052*i**2 + 20098156*i/7 - 87053928/7.
-4*(i - 9906)*(i - 13)**3/7
Let 2*i**4/7 - 3324*i**3/7 - 9998*i**2/7 + 13320*i/7 = 0. Calculate i.
-4, 0, 1, 1665
Determine q, given that 5*q**5 + 783*q**4 - 9614*q**3 - 6360*q**2 + 4032*q = 0.
-168, -1, 0, 2/5, 12
Factor 3*w**3/5 - 5259*w**2/5 - 3*w/5 + 5259/5.
3*(w - 1753)*(w - 1)*(w + 1)/5
Factor z**3/4 + 14011*z**2/4 + 42015*z/2.
z*(z + 6)*(z + 14005)/4
Factor 2*b**2/5 - 125776*b/5 - 1132146/5.
2*(b - 62897)*(b + 9)/5
Factor -r**3/8 - 111701*r**2/4 - 1559667100*r - 3119222500.
-(r + 2)*(r + 111700)**2/8
Determine s, given that s**2 + 24270*s + 147258225 = 0.
-12135
Find f such that -f**4/6 + 194*f**3/3 - 6207*f**2 - 12870*f + 38025/2 = 0.
-3, 1, 195
Factor -4*j**2 + 631920*j - 24957680400.
-4*(j - 78990)**2
Find a, given that -8*a**5 - 108*a**4 + 216*a**3 + 544*a**2 + 48*a - 180 = 0.
-15, -1, 1/2, 3
Factor 4*a**2/5 - 60392*a/5 - 60396/5.
4*(a - 15099)*(a + 1)/5
Let -a**2/9 - 1241*a/9 + 2912/3 = 0. Calculate a.
-1248, 7
Solve 2*z**2 - 260*z + 6992 = 0.
38, 92
Factor 2*b**5 - 10552*b**4 - 42228*b**3 - 63352*b**2 - 42238*b - 10560.
2*(b - 5280)*(b + 1)**4
Let 3*x**4/7 + 3*x**3 - 45*x**2 + 675*x/7 = 0. Calculate x.
-15, 0, 3, 5
Suppose o**5 - 19588*o**4 + 95844052*o**3 + 767692896*o**2 + 1536012864*o = 0. Calculate o.
-4, 0, 9798
Determine v so that 2*v**3/3 + 1924*v**2/3 - 4518*v + 3876 = 0.
-969, 1, 6
Factor 3*w**3 + 537*w**2 + 20640*w + 198900.
3*(w + 15)*(w + 34)*(w + 130)
What is l in -l**5/6 + 5*l**4/3 + 23*l**3/6 - 22*l**2 = 0?
-4, 0, 3, 11
What is v in 15*v**5 - 241*v**4/2 + 485*v**3/2 + 4*v**2 - 24*v = 0?
-3/10, 0, 1/3, 4
Factor -v**2/3 - 102*v + 945.
-(v - 9)*(v + 315)/3
Factor u**2 + 3422*u + 3421.
(u + 1)*(u + 3421)
Find p, given that 95*p**2 + 14830*p - 13345 = 0.
-157, 17/19
Factor -2*d**3 + 8942*d**2 + 53708*d + 71632.
-2*(d - 4477)*(d + 2)*(d + 4)
Factor -2*f**2 + 11112*f + 11114.
-2*(f - 5557)*(f + 1)
What is h in 38*h**4 + 13828*h**3 + 26094*h**2 + 10856*h - 1448 = 0?
-362, -1, 2/19
Find v such that -3*v**3/4 - 240*v**2 + 1929*v/4 - 483/2 = 0.
-322, 1
Suppose -i**5/7 + 4*i**4/7 + 577*i**3/7 + 1496*i**2/7 - 8556*i/7 + 6480/7 = 0. Calculate i.
-20, -6, 1, 2, 27
Factor 2*w**2/15 - 12*w - 3392/15.
2*(w - 106)*(w + 16)/15
Let -2*x**3/7 - 744*x**2/7 + 3758*x/7 - 4524/7 = 0. Calculate x.
-377, 2, 3
Let 2*n**3 - 1648*n**2 + 304128*n + 14929920 = 0. What is n?
-40, 432
Suppose -2*d**5/3 - 26*d**4/3 + 58*d**3/3 + 970*d**2/3 - 2000*d/3 + 1000/3 = 0. What is d?
-10, 1, 5
Let -20*t**3 - 24032*t**2 + 339388*t - 1191288 = 0. What is t?
-6078/5, 7
Suppose -h**2/3 + 146*h/3 - 1720 = 0. Calculate h.
60, 86
Determine n, given that n**5/7 - 6116*n**4/7 + 85497*n**3/7 - 421178*n**2/7 + 854380*n/7 - 610200/7 = 0.
2, 5, 6102
Factor -4*x**2 - 7532*x - 236928.
-4*(x + 32)*(x + 1851)
What is b in 3*b**2/8 - 1041*b/8 - 3231/2 = 0?
-12, 359
Suppose -o**2/4 + 7*o/2 + 2867/4 = 0. What is o?
-47, 61
Suppose -2*x**4 + 8*x**3/3 + 26*x**2/3 + 4*x = 0. Calculate x.
-1, -2/3, 0, 3
Find t such that -2*t**5/7 - 472*t**4/7 + 16582*t**3/7 - 151860*t**2/7 + 241200*t/7 = 0.
-268, 0, 2, 15
Factor 16962*b**2 + 8517*b + 18.
3*(2*b + 1)*(2827*b + 6)
Find b, given that -b**5/3 - 143*b**4 + 1012*b**3 - 6964*b**2/3 + 1744*b = 0.
-436, 0, 2, 3
Let 2*j**3 + 762*j**2 - 17490*j + 97526 = 0. Calculate j.
-403, 11
Solve -2*y**5/15 + 88*y**4/3 + 1336*y**3/15 + 452*y**2/15 - 1334*y/15 - 892/15 = 0 for y.
-2, -1, 1, 223
Let -91*v**5/3 - 5546*v**4 - 331963*v**3 - 18375002*v**2/3 + 22706508*v - 3574920 = 0. What is v?
-62, 15/91, 3
Find r, given that 5*r**5 + 470*r**4 + 14545*r**3 + 158500*r**2 + 262500*r = 0.
-42, -25, -2, 0
Solve 3*o**5 + 9*o**4 - 45*o**3 - 165*o**2 - 18*o + 216 = 0.
-3, -2, 1, 4
Factor -r**2/5 + 20*r + 1221/5.
-(r - 111)*(r + 11)/5
Solve y**5 - 69*y**4 - 679*y**3 - 1779*y**2 - 1170*y = 0 for y.
-5, -3, -1, 0, 78
Let -3*x**2 - 510*x - 11928 = 0. What is x?
-142, -28
Find x, given that -3*x**4/2 - 225*x**3/2 - 3123*x**2/2 + 10725*x/2 + 27225 = 0.
-55, -22, -3, 5
Solve -5*p**2 + 10260*p - 71575 = 0.
7, 2045
Factor -3*n**4/5 + 2358*n**3/5 + 2844*n**2 + 28488*n/5 + 19008/5.
-3*(n - 792)*(n + 2)**3/5
Let -2*b**3 - 2240*b**2 + 18114*b + 74448 = 0. Calculate b.
-1128, -3, 11
Factor 2*q**4 - 68*q**3 + 466*q**2 - 400*q.
2*q*(q - 25)*(q - 8)*(q - 1)
Suppose -d**4/6 + 815*d**3/3 - 8812*d**2 + 135641*d/3 + 2882585/6 = 0. What is d?
-5, 19, 1597
Let 3*c**2 - 81351*c - 895224 = 0. Calculate c.
-11, 27128
Find l such that -3494*l**4/19 + 188680*l**3/19 - 3396384*l**2/19 + 20380896*l/19 - 23328/19 = 0.
2/1747, 18
Factor -2*p**5/17 - 12424*p**4/17 + 37290*p**3/17.
-2*p**3*(p - 3)*(p + 6215)/17
Find p, given that 4*p**3 - 1084*p**2 - 37760*p - 310272 = 0.
-16, 303
Factor z**3/2 - 1773*z**2/2 - 54121*z/2 + 55893/2.
(z - 1803)*(z - 1)*(z + 31)/2
Find y such that 2114*y**3/5 - 8452*y**2/5 - 1014736*y/5 - 384 = 0.
-20, -2/1057, 24
Find p such that -2*p**2/7 - 6920*p/7 + 13896 = 0.
-3474, 14
Solve -38*b**2/7 + 2258*b + 832/7 = 0.
-1/19, 416
What is z in z**2 + 252*z + 4212 = 0?
-234, -18
Let -3*f**5 + 246*f**4 - 231*f**3 - 984*f**2 + 972*f = 0. What is f?
-2, 0, 1, 2, 81
What is v in -v**3/4 - 72067*v**2/4 = 0?
-72067, 0
Suppose -3605*p**5 + 12945*p**4 + 29620*p**3 - 21180*p**2 + 400*p = 0. Calculate p.
-2, 0, 2/103, 4/7, 5
Factor -3*o**2 - 21000*o - 356133.
-3*(o + 17)*(o + 6983)
Solve -5*h**2 - 2320*h + 23700 = 0 for h.
-474, 10
Find b such that -b**5/9 + 8801*b**4/9 - 70360*b**3/9 + 15632*b**2 = 0.
0, 4, 8793
Factor -28*y**2 + 48824*y + 13952.
-4*(y - 1744)*(7*y + 2)
Find t such that 727835328*t**4 + 1455764112*t**3 + 728022243*t**2 + 93462*t + 3 = 0.
-1, -1/15576
Factor 2*b**3/7 - 15416*b**2/7 + 13206*b - 138636/7.
2*(b - 7702)*(b - 3)**2/7
Suppose 4*a**3 - 784*a**2 - 64*a + 12544 = 0. Calculate a.
-4, 4, 196
Factor 2*d**2/7 + 27480*d/7 + 137350/7.
2*(d + 5)*(d + 13735)/7
Factor 2*m**2 + 864*m - 7040.
2*(m - 8)*(m + 440)
Let -d**2/3 - 26242*d/3 - 172160641/3 = 0. What is d?
-13121
Solve 4*n**2 - 3096*n - 318688 = 0 for n.
-92, 866
Find o such that -2*o**3/5 + 4844*o**2/5 - 19352*o/5 + 19344/5 = 0.
2, 2418
Solve -r**3/6 + 6857*r**2/3 = 0.
0, 13714
Find b, given that -5*b**5 - 35690*b**4 - 35655*b**3 + 214130*b**2 + 142700*b - 285480 = 0.
-7137, -2, 1, 2
Find l such that -28*l**3 - 17572*l**2 + 7552*l + 10048 = 0.
-628, -4/7, 1
Factor 4*c**4 - 95280*c**3 + 567392400*c**2.
4*c**2*(c - 11910)**2
Factor 27*w**2 + 2220555*w - 493458.
3*(w + 82243)*(9*w - 2)
Suppose i**4/5 + 15*i**3 + 378*i**2/5 - 540*i - 14904/5 = 0. What is i?
-69, -6, 6
Factor 5*j**2 - 21100*j.
5*j*(j - 4220)
Let c**3/3 - 27344*c**2/3 +