*b + 1.
-(b + 2)*(643*b - 2)/4
Factor 2*r**2/3 - 2712*r + 16248.
2*(r - 4062)*(r - 6)/3
Find h, given that -h**5/2 - 67*h**4/3 - 711*h**3/2 - 2389*h**2 - 16390*h/3 + 2100 = 0.
-18, -10, -7, 1/3
Factor f**2/6 + 519332*f/3 + 134852863112/3.
(f + 519332)**2/6
Factor 4*g**2/9 - 36700*g/3 + 220184/9.
4*(g - 27523)*(g - 2)/9
Let -15*f**4/7 + 197*f**3/7 - 38*f**2 - 2848*f/7 + 384/7 = 0. Calculate f.
-3, 2/15, 8
Solve -z**5 - 15*z**4 + 1202*z**3 - 2898*z**2 - 128497*z - 325983 = 0 for z.
-43, -7, -3, 19
Factor -z**3/2 - 45357*z**2/2 - 514291683*z/2 + 514337041/2.
-(z - 1)*(z + 22679)**2/2
Find a such that -2*a**3/11 - 8*a**2/11 + 470*a/11 - 1900/11 = 0.
-19, 5, 10
Factor -2*s**2/13 + 634*s/13 + 17100/13.
-2*(s - 342)*(s + 25)/13
Determine x, given that 5*x**3 + 3520*x**2 - 201015*x + 2762910 = 0.
-758, 27
Factor -n**2 - 14100*n + 239989.
-(n - 17)*(n + 14117)
Solve 4*b**2/5 - 1275392*b/5 + 101664047104/5 = 0.
159424
Solve -g**5/3 - 4*g**4 + 277*g**3/3 - 1132*g**2/3 + 556*g - 800/3 = 0 for g.
-25, 1, 2, 8
Factor -3*p**2/2 - 1575*p/2 - 3900.
-3*(p + 5)*(p + 520)/2
Find c such that -9*c**4 + 73113*c**3 - 149202858*c**2 + 2907034464*c - 1871732256 = 0.
2/3, 19, 4052
Solve n**5/2 - 2859*n**4/2 + 1025303*n**3 - 5100813*n**2 + 14262865*n/2 - 6108987/2 = 0 for n.
1, 3, 1427
Factor -2*l**3/15 + 34*l**2/3 + 892*l/15 + 48.
-2*(l - 90)*(l + 1)*(l + 4)/15
Find a such that -2*a**3 + 577*a**2 - 1427*a - 858 = 0.
-1/2, 3, 286
Factor -3*t**2 - 4734*t - 32991.
-3*(t + 7)*(t + 1571)
Factor 2*i**2/13 + 150468*i/13 + 2830077378/13.
2*(i + 37617)**2/13
Factor 3*x**2/5 - 98256*x/5 + 39300.
3*(x - 32750)*(x - 2)/5
Let 3*o**4 + 252*o**3 - 3*o**2 - 252*o = 0. What is o?
-84, -1, 0, 1
Determine u, given that 3*u**2 - 160344*u + 160341 = 0.
1, 53447
Factor 2491*i**2/2 - i.
i*(2491*i - 2)/2
Factor -4*b**2 + 52112*b - 169728784.
-4*(b - 6514)**2
Factor -4*t**3 - 14428*t**2 + 86740*t + 101164.
-4*(t - 7)*(t + 1)*(t + 3613)
Suppose -4*g**2/3 - 3931232*g/3 - 965911564864/3 = 0. What is g?
-491404
Factor -l**3/2 - 29402*l**2 - 432238802*l.
-l*(l + 29402)**2/2
Determine m, given that 275*m**2/2 + 17*m/2 - 3 = 0.
-2/11, 3/25
Factor 2*a**4/5 - 1196*a**3/5 + 206856*a**2/5 - 2539732*a/5 - 280640386.
2*(a - 221)**3*(a + 65)/5
Determine f so that 2*f**5/3 - 16*f**4/3 - 200*f**3/3 - 212*f**2/3 + 290*f + 300 = 0.
-5, -3, -1, 2, 15
Solve -2*k**2/7 - 319100*k - 89096708750 = 0.
-558425
Determine z, given that -5*z**5/6 + 55*z**4/2 + 83895*z**3/2 - 8250615*z**2/2 = 0.
-249, 0, 141
Factor -v**2 + 216*v - 8639.
-(v - 163)*(v - 53)
Factor 4*v**2/3 + 2216*v/3 - 2976.
4*(v - 4)*(v + 558)/3
Let -2*h**5/7 + 324*h**4/7 - 15954*h**3/7 + 191248*h**2/7 + 1614048*h/7 + 2663424/7 = 0. What is h?
-3, 32, 68
Factor 2*u**4/17 + 32304*u**3/17 + 96894*u**2/17.
2*u**2*(u + 3)*(u + 16149)/17
Factor i**3 + 19215*i**2 + 92294448*i - 92313664.
(i - 1)*(i + 9608)**2
Factor 3*f**2 + 1143*f + 24702.
3*(f + 23)*(f + 358)
Solve -14*x**4/3 + 1973*x**3/6 + 855*x**2 + 3859*x/6 + 365/3 = 0.
-5/4, -1, -2/7, 73
Solve 10433*y**2/4 - 10431*y/2 - 2 = 0.
-4/10433, 2
Suppose -2*i**5 - 84*i**4 - 1228*i**3 - 7176*i**2 - 14130*i - 8100 = 0. Calculate i.
-15, -9, -2, -1
Determine c so that -2*c**3/11 + 248*c**2/11 + 1544*c/11 + 2080/11 = 0.
-4, -2, 130
Factor l**3/4 + 1651*l**2/4 + 746199*l/4 + 52112565/4.
(l + 85)*(l + 783)**2/4
Suppose 6*r**2/5 + 16371*r - 40929/5 = 0. What is r?
-13643, 1/2
What is z in -3*z**5/4 + 2463*z**4/4 - 612*z**3 - 2463*z**2 + 2460*z = 0?
-2, 0, 1, 2, 820
Find v such that 2*v**2/7 - 6288*v/7 - 107474/7 = 0.
-17, 3161
Suppose -9*u**5/5 + 24*u**4/5 + 108*u**3 - 1146*u**2/5 - 4851*u/5 - 294 = 0. Calculate u.
-7, -2, -1/3, 5, 7
Let r**5 + 18*r**4 + 79*r**3 + 78*r**2 - 80*r - 96 = 0. Calculate r.
-12, -4, -2, -1, 1
Determine k, given that -34*k**3 - 3568*k**2 - 91590*k + 5400 = 0.
-60, -45, 1/17
Factor 3*y**4 + 1716*y**3 + 227628*y**2 - 5079360*y + 26284800.
3*(y - 10)**2*(y + 296)**2
What is x in x**3/2 - 788*x**2 + 703485*x/2 - 31355019 = 0?
118, 729
Factor -102*f**3 + 8463*f**2 + 249*f.
-3*f*(f - 83)*(34*f + 1)
Let -2*y**5/11 - 84*y**4/11 - 316*y**3/11 - 464*y**2/11 - 306*y/11 - 76/11 = 0. Calculate y.
-38, -1
Suppose -2*m**2 - 31476*m + 472590 = 0. What is m?
-15753, 15
Determine j, given that -5*j**5 + 1020*j**4 - 54565*j**3 + 826390*j**2 + 1820580*j + 938600 = 0.
-1, 38, 130
Solve 2*u**2/7 - 18164*u/7 + 18162/7 = 0.
1, 9081
What is x in 38*x**2 + 5356*x/3 - 94/3 = 0?
-47, 1/57
Solve -k**3/3 + 25*k**2 + 1026*k - 6448/3 = 0 for k.
-31, 2, 104
Determine s, given that -s**2 + 642*s + 1935 = 0.
-3, 645
Solve -5*y**3 - 1980*y**2 - 7855*y - 5880 = 0 for y.
-392, -3, -1
Factor -242*p**3 - 15781832*p**2 - 2869418*p - 130428.
-2*(p + 65214)*(11*p + 1)**2
What is y in -111*y**4 + 13086*y**3 + 41709*y**2 + 4356*y = 0?
-3, -4/37, 0, 121
Factor i**3/4 + 905*i**2 + 3272477*i/4 - 3279721/2.
(i - 2)*(i + 1811)**2/4
Solve 2*f**4 - 46*f**3 + 172*f**2 + 544*f = 0.
-2, 0, 8, 17
Factor -9*w**3/5 - 687*w**2/5 - 2436*w.
-3*w*(w + 28)*(3*w + 145)/5
Factor 3*w**3/2 + 729*w**2/2 + 1074*w - 1440.
3*(w - 1)*(w + 4)*(w + 240)/2
What is q in -q**2/8 - 227127*q/2 - 51586674129/2 = 0?
-454254
Let -4*m**5/3 + 3868*m**4/3 - 30772*m**3/3 + 26876*m**2 - 23016*m = 0. Calculate m.
0, 2, 3, 959
Solve -r**5/2 - 2*r**4 + 159*r**3/2 + 443*r**2 - 520*r = 0 for r.
-10, -8, 0, 1, 13
Factor q**2/8 + 329*q/8 - 331/4.
(q - 2)*(q + 331)/8
Factor 8*f**3/7 + 236*f**2/7 - 368*f/7 + 124/7.
4*(f - 1)*(f + 31)*(2*f - 1)/7
Factor 3*r**4 + 642*r**3 - 13740*r**2 + 70200*r.
3*r*(r - 10)**2*(r + 234)
Factor 15*l**2 - 98976*l + 39588.
3*(l - 6598)*(5*l - 2)
Let 763*k**2/4 - 2287*k/4 - 3/2 = 0. What is k?
-2/763, 3
Let o**4/4 + 13761*o**3/4 + 47279295*o**2/4 - 426629025*o/4 = 0. What is o?
-6885, 0, 9
Find z, given that z**3/3 + 260*z**2/3 + 7297*z/3 + 15114 = 0.
-229, -22, -9
Factor 3*p**2/7 + 171*p/7 - 2484/7.
3*(p - 12)*(p + 69)/7
Suppose -2*w**5/19 + 930*w**4/19 + 9434*w**3/19 + 31270*w**2/19 + 37968*w/19 + 800 = 0. What is w?
-4, -1, 475
Determine p, given that 52*p**2 + 37000*p - 17088 = 0.
-712, 6/13
Factor z**2 + 4143*z - 4144.
(z - 1)*(z + 4144)
Let -2*k**3/7 - 98*k**2 + 1740*k - 21600/7 = 0. What is k?
-360, 2, 15
Suppose -3*j**4 - 63*j**3 - 294*j**2 + 360*j = 0. What is j?
-12, -10, 0, 1
Suppose 2*j**4 - 25518*j**3 + 81281068*j**2 + 733853568*j - 815109120 = 0. Calculate j.
-10, 1, 6384
Factor 3*x**3 + 64614*x**2 + 347978688*x + 695698944.
3*(x + 2)*(x + 10768)**2
Factor 756855121*t**2/9 - 55022*t/9 + 1/9.
(27511*t - 1)**2/9
Find o such that 4*o**2 + 116548*o + 349608 = 0.
-29134, -3
Factor 6*g**5/5 + 828*g**4/5 + 3216*g**3/5.
6*g**3*(g + 4)*(g + 134)/5
Factor 3*o**2 - 28812*o - 259551.
3*(o - 9613)*(o + 9)
Solve 4*g**2 - 5840*g + 23296 = 0 for g.
4, 1456
Let -26*j**5 - 226*j**4/3 + 3808*j**3/9 - 3248*j**2/9 + 32*j + 32 = 0. Calculate j.
-6, -3/13, 2/3, 2
Solve 4*r**4/3 - 156*r**3 + 5284*r**2 - 118508*r/3 - 44944 = 0.
-1, 12, 53
Find f such that f**5/9 - 178*f**4/9 + 2626*f**3/3 + 7612*f**2/9 - 333127*f/9 - 110894/3 = 0.
-6, -1, 7, 89
Factor -b**4/6 - 7*b**3/6 + 12*b**2 + 170*b/3 + 176/3.
-(b - 8)*(b + 2)**2*(b + 11)/6
Factor x**3/5 - 91*x**2/5 - 11414*x/5 + 23184/5.
(x - 161)*(x - 2)*(x + 72)/5
Factor -n**3/4 - 15*n**2/2 + 981*n/4 - 475/2.
-(n - 19)*(n - 1)*(n + 50)/4
Suppose -4*p**2 - 1292*p - 93304 = 0. Calculate p.
-214, -109
Solve -1980*l**4 - 4328*l**3 + 5220*l**2 + 1136*l - 48 = 0.
-3, -2/9, 2/55, 1
Determine h so that -3*h**5/5 + 694*h**4/5 + 8562*h**3/5 - 13788*h**2/5 - 3067*h + 6318/5 = 0.
-13, -1, 1/3, 2, 243
Factor -n**2/3 + 400882*n - 120529783443.
-(n - 601323)**2/3
Let 4*n**3 + 1340*n**2 - 2696*n = 0. What is n?
-337, 0, 2
Solve 2*u**4 - 110*u**3 + 1594*u**2 - 6946*u + 5460 = 0.
1, 6, 13, 35
Factor 15*z**3/2 - 2223*z**2/2 - 894*z.
3*z*(z - 149)*(5*z + 4)/2
Factor d**4 + 93*d**3 + 273*d**2 + 271*d + 90.
(d + 1)**3*(d + 90)
Solve -2*d**2/9 + 87584*d/9 - 437870/9 = 0.
5, 43787
Factor -2*k**3 + 1342*k**2 - 27340*k + 26000.
-2*(k - 650)*(k - 20)*(k - 1)
Factor -4*b**3 + 508*b**2 - 496*b - 1008.
-4*(b - 126)*(b - 2)*(b + 1)
Factor -4*w**4 + 744*w**3 - 6480*w**2 + 19224*w - 19116.
-4*(w - 177)*(w - 3)**3
Determine x, given that 11*x**4/7 + 9472*x**3/7 + 2053647*x**2/7 + 6277986*x/7 + 4416984/7 = 0.
-429, -2, -12/11
Determine i so that -4*i**3 + 155