, 0, 281
Find r such that -3*r**4/7 + 489*r**3/7 - 5946*r**2/7 + 14460*r/7 - 9000/7 = 0.
1, 2, 10, 150
Factor -2*q**2 + 6*q + 160740.
-2*(q - 285)*(q + 282)
Factor -3*c**4 + 462*c**3 + 65340*c**2 + 2371842*c + 27276183.
-3*(c - 253)*(c + 33)**3
Determine f, given that -4*f**5/9 + 92*f**4/3 + 3332*f**3/3 - 669956*f**2/9 - 1173640*f/3 - 476288 = 0.
-48, -3, -2, 61
Factor -5*b**3/4 - 2635*b**2/4 + 5330*b - 10700.
-5*(b - 4)**2*(b + 535)/4
Factor -5*n**5 + 615*n**4 - 610*n**3.
-5*n**3*(n - 122)*(n - 1)
Suppose -b**4/2 + 141*b**3/2 - 553*b**2/2 + 687*b/2 - 137 = 0. Calculate b.
1, 2, 137
Find x, given that -x**2/11 - 4286*x/11 = 0.
-4286, 0
Factor -3*m**5 + 2649*m**4 + 287400*m**3 + 7372500*m**2.
-3*m**2*(m - 983)*(m + 50)**2
Let 5*d**3 + 2435*d**2 - 92520*d + 847260 = 0. Calculate d.
-523, 18
Factor -2*a**4/11 + 32440*a**3/11.
-2*a**3*(a - 16220)/11
Find z, given that -2*z**3/3 + 110*z**2 - 432*z + 1288/3 = 0.
2, 161
Determine z, given that -2*z**3 + 2906*z**2 - 370800*z - 562140000 = 0.
-347, 900
Solve 3*t**3 + 2418*t**2 + 47460*t + 235800 = 0 for t.
-786, -10
Find r such that r**3/4 + 749*r**2/4 + 129315*r/4 + 6493167/4 = 0.
-527, -111
Let 2*j**5/13 + 54*j**4/13 + 18*j**3 + 314*j**2/13 + 132*j/13 = 0. What is j?
-22, -3, -1, 0
Find y such that -y**4/6 - 4115*y**3/6 - 1882383*y**2/2 - 862755219*y/2 - 858995937 = 0.
-1371, -2
Solve 5*b**4 - 400*b**3 + 395*b**2 = 0 for b.
0, 1, 79
Factor -2*u**3/5 + 4528*u**2/5 - 1810*u + 4524/5.
-2*(u - 2262)*(u - 1)**2/5
Factor 3*x**2 - 2814*x - 42885.
3*(x - 953)*(x + 15)
Solve -2*q**2/5 + 2472*q/5 - 34216/5 = 0.
14, 1222
Determine v, given that -2*v**5 - 132*v**4 - 858*v**3 - 1912*v**2 - 1416*v = 0.
-59, -3, -2, 0
Factor -i**2/8 + 2356*i + 131985/8.
-(i - 18855)*(i + 7)/8
Factor 4*m**3 - 1552*m**2 - 19056*m - 57600.
4*(m - 400)*(m + 6)**2
Let -p**4/4 + 31*p**3/4 + 3267*p**2/4 + 42725*p/4 - 49375/2 = 0. Calculate p.
-25, 2, 79
Solve 34*a**3 - 38894*a**2 + 36574*a + 2286 = 0.
-1/17, 1, 1143
Factor 4*d**4 - 581472*d**3 - 6978048*d**2 - 27912704*d - 37217280.
4*(d - 145380)*(d + 4)**3
Suppose -3*h**3/4 + 171*h**2/2 + 6993*h/4 + 4455 = 0. What is h?
-15, -3, 132
Solve -3*h**4 + 42*h**3 - 165*h**2 + 126*h = 0.
0, 1, 6, 7
Factor -j**3/7 + 27*j**2/7 - 26*j/7.
-j*(j - 26)*(j - 1)/7
Factor 5*p**3 - 300*p**2 - 11180*p.
5*p*(p - 86)*(p + 26)
Let -h**3/2 - 113403*h**2/2 - 226803*h/2 - 113401/2 = 0. What is h?
-113401, -1
Determine g, given that 3*g**5 + 243*g**4 + 6921*g**3 + 84189*g**2 + 458640*g + 926100 = 0.
-30, -7
Determine w, given that -w**5/7 + 29*w**4/7 - 21*w**3 - 857*w**2/7 + 604*w/7 + 2964/7 = 0.
-3, -2, 2, 13, 19
Determine o, given that 5*o**5/3 - 8605*o**4/3 + 1629990*o**3 - 296870670*o**2 - 5070520125*o - 20380976595 = 0.
-9, -7, 579
Factor 14*v**2/5 - 6466*v/5 - 924/5.
2*(v - 462)*(7*v + 1)/5
What is i in -4*i**2 - 28192*i + 169296 = 0?
-7054, 6
Solve k**2 + 622458*k + 96863490441 = 0 for k.
-311229
Solve 3*t**2/4 + 1290*t - 2583 = 0 for t.
-1722, 2
Factor -2*h**4 + 100*h**3 - 1336*h**2 + 92*h + 47610.
-2*(h - 23)**2*(h - 9)*(h + 5)
Suppose -3*n**2 - 777*n + 169200 = 0. Calculate n.
-400, 141
Factor 363*y**3 - 1876182*y**2 + 2422405716*y + 4852319064.
3*(y + 2)*(11*y - 28438)**2
Factor -q**2/3 + 101*q/3 - 666.
-(q - 74)*(q - 27)/3
Determine l, given that -l**4/3 + 13*l**3/3 + 770*l**2/3 - 4800*l + 12000 = 0.
-30, 3, 20
Factor -g**4 + 229*g**3 - 2856*g**2 + 10404*g - 7776.
-(g - 216)*(g - 6)**2*(g - 1)
Factor 4*j**3/7 + 172604*j**2/7 + 1861404540*j/7 - 1862612964.
4*(j - 7)*(j + 21579)**2/7
Determine c, given that -356*c**5 - 752*c**4 - 80*c**3 + 712*c**2 + 436*c + 40 = 0.
-1, -10/89, 1
Factor 3*u**2 - 89862*u - 179736.
3*(u - 29956)*(u + 2)
Factor 2*j**3/5 + 312*j**2 + 4666*j/5 + 3108/5.
2*(j + 1)*(j + 2)*(j + 777)/5
Determine l so that -3*l**3/2 + 819609*l**2/2 - 1639209*l/2 + 819603/2 = 0.
1, 273201
Factor -q**3/8 + 145*q**2/8 - 529*q/2 - 960.
-(q - 128)*(q - 20)*(q + 3)/8
Factor 5*g**3 - 2405*g**2 + 273800*g - 9117540.
5*(g - 333)*(g - 74)**2
Solve -4*t**3 + 12872*t**2 - 711424*t + 9916032 = 0.
28, 3162
Determine o so that o**3 + 45936*o**2 + 413343*o = 0.
-45927, -9, 0
What is c in -c**4 - 447*c**3 - 47880*c**2 + 467856*c = 0?
-228, 0, 9
Suppose 12*f**5/13 + 190*f**4/13 + 976*f**3/13 + 1944*f**2/13 + 1184*f/13 - 256/13 = 0. Calculate f.
-8, -4, -2, 1/6
Suppose 11236*g**3 - 313336*g**2 - 359251*g - 100949 = 0. What is g?
-59/106, 29
Suppose 2*w**2/3 + 8836*w/3 + 114530/3 = 0. What is w?
-4405, -13
Factor -1209*h**2 + 170463*h + 846.
-3*(h - 141)*(403*h + 2)
Factor 2*v**3/3 + 1240*v**2/3 + 86558*v/3 + 28440.
2*(v + 1)*(v + 79)*(v + 540)/3
Let -n**5/5 + 7978*n**4/5 - 9568*n**3 + 12754*n**2 + 47841*n/5 - 71748/5 = 0. Calculate n.
-1, 1, 3, 7972
Solve -q**4/6 - 809*q**3/6 - 2510*q**2 - 19766*q/3 - 12640/3 = 0 for q.
-790, -16, -2, -1
Determine j, given that j**4 + 56*j**3 + 735*j**2 = 0.
-35, -21, 0
Determine s, given that -s**5/6 + 7*s**4/2 + 111*s**3/2 - 725*s**2/6 + 62*s = 0.
-12, 0, 1, 31
Suppose -2*g**2 - 419738*g + 419740 = 0. Calculate g.
-209870, 1
Find r, given that 3*r**3/4 + 189*r**2/2 - 222645*r/4 + 55566 = 0.
-343, 1, 216
Factor -z**3 + 4438*z**2 + z - 4438.
-(z - 4438)*(z - 1)*(z + 1)
Factor -15*k**2/2 - 497275*k/2 + 82880.
-5*(k + 33152)*(3*k - 1)/2
Solve 210*i**5 - 143*i**4 - 172*i**3 + 83*i**2 + 22*i = 0 for i.
-11/14, -1/5, 0, 2/3, 1
Solve 2*d**3/15 + 3146*d**2 - 94398*d/5 + 141606/5 = 0.
-23601, 3
Determine a, given that 3*a**2 - 1590*a + 7875 = 0.
5, 525
What is v in 4*v**3 + 1480*v**2 - 23100*v = 0?
-385, 0, 15
Factor 5*b**2 - 78570*b - 314360.
5*(b - 15718)*(b + 4)
Let 2*k**2/17 - 720*k/17 + 10350/17 = 0. What is k?
15, 345
Suppose 5*h**4 - 35*h**3 - 515*h**2 - 1225*h - 750 = 0. What is h?
-5, -2, -1, 15
Factor z**3/11 + 17319*z**2/11 - 138625*z/11 - 155943/11.
(z - 9)*(z + 1)*(z + 17327)/11
Let -3*n**4 + 30984*n**3 - 80062632*n**2 + 319878816*n - 319754928 = 0. What is n?
2, 5162
Factor 3*j**2/4 + 21000*j + 147000000.
3*(j + 14000)**2/4
Factor -3*v**2 - 24*v - 36.
-3*(v + 2)*(v + 6)
Let g**2/4 - 714572*g + 510613143184 = 0. Calculate g.
1429144
Solve -5*c**5 - 380*c**4 - 3695*c**3 - 7580*c**2 + 14860*c + 36400 = 0 for c.
-65, -7, -4, -2, 2
Find m, given that -2*m**5 + 126152*m**3 - 12194500*m**2 - 126150*m + 12194500 = 0.
-290, -1, 1, 145
Let 4*p**4/3 - 1496*p**3/3 + 42940*p**2 - 253168*p/3 + 125840/3 = 0. What is p?
1, 130, 242
Factor l**3 + 17*l**2 - 5078*l + 102960.
(l - 45)*(l - 26)*(l + 88)
Factor 95*l**3 + 1899230*l**2 + 9492201600*l - 999200160.
5*(l + 9996)**2*(19*l - 2)
Factor -5*p**2 - 635*p + 57340.
-5*(p - 61)*(p + 188)
Solve 3*s**2 + 9*s - 37962 = 0 for s.
-114, 111
Factor 3*f**2/8 + 453*f/8 - 163323/4.
3*(f - 263)*(f + 414)/8
Suppose -425*j**3/2 - 2960*j**2 - 10110*j = 0. What is j?
-674/85, -6, 0
Let -60*z**3 - 2796368*z**2 - 32582161388*z - 4344238472 = 0. Calculate z.
-23303, -2/15
Factor -d**4 - 393*d**3 - 37615*d**2 + 196413*d - 158404.
-(d - 4)*(d - 1)*(d + 199)**2
Factor 8*l**3 - 156*l**2 - 524*l - 360.
4*(l + 1)*(l + 2)*(2*l - 45)
Suppose -d**4/7 - 2*d**3/7 + 463*d**2/7 + 464*d/7 - 132 = 0. Calculate d.
-22, -2, 1, 21
What is z in 3*z**3 + 504*z**2 - 12609*z - 13110 = 0?
-190, -1, 23
Factor 128*r**3 + 4359*r**2 + 238*r.
r*(r + 34)*(128*r + 7)
Suppose 245*u**5 + 1992690*u**4 + 853845*u**3 - 975940*u**2 + 162660*u = 0. What is u?
-8133, -1, 0, 2/7
Solve -x**2 - 43*x - 280 = 0.
-35, -8
Factor -2*n**3/13 - 1090*n**2/13 + 241546*n/13 - 11453766/13.
-2*(n - 89)**2*(n + 723)/13
Factor -3*r**2/2 + 36801*r - 451437867/2.
-3*(r - 12267)**2/2
Suppose -z**3 + 1131*z**2 + 4537*z + 3405 = 0. What is z?
-3, -1, 1135
Let -g**4/3 + 56*g**3 - 483*g**2 + 954*g = 0. Calculate g.
0, 3, 6, 159
Factor m**2/4 - 6825*m + 46580625.
(m - 13650)**2/4
Let -2*c**5/7 + 2238*c**4/7 + 4524*c**3/7 - 44888*c**2/7 + 53808*c/7 = 0. What is c?
-6, 0, 2, 1121
Factor 5*x**3 - 15360*x - 327680.
5*(x - 64)*(x + 32)**2
Determine g so that 114*g**4 + 2277*g**3 - 43038*g**2 - 487245*g + 12852 = 0.
-28, -9, 1/38, 17
Let o**4 - 3697*o**3 + 4496544*o**2 - 1724156928*o - 91356954624 = 0. What is o?
-47, 1248
Suppose 2*m**5/13 + 3568*m**4/13 + 28430*m**3/13 + 24720*m**2/13 - 256032*m/13 - 511488/13 = 0. Calculate m.
-1776, -4, -3, 3
Find c, given that -2*c**5/13 + 14*c**4/13 + 474*c**3/13 - 3902*c**2/13 + 524