, -1, 38872
What is r in r**4 - 90*r**3 - 481*r**2 + 570*r = 0?
-6, 0, 1, 95
Factor -c**5 + 2*c**4 + 39*c**3 - 152*c**2 + 112*c.
-c*(c - 4)**2*(c - 1)*(c + 7)
Factor 2*q**2/11 + 604584*q/11 + 45690226632/11.
2*(q + 151146)**2/11
Let -5*a**4 + 15535*a**3 - 170375*a**2 + 294165*a - 139320 = 0. Calculate a.
1, 9, 3096
Factor -27*a**2 + 2424*a + 7515.
-3*(a + 3)*(9*a - 835)
Let 4398578*u**3/7 + 475058288*u**2/7 + 1281320*u/7 + 864/7 = 0. Calculate u.
-108, -2/1483
Suppose -c**5/3 + 167*c**4 - 17368*c**3 - 2701036*c**2/3 - 6325920*c - 12052800 = 0. Calculate c.
-31, -4, 270
Find m, given that m**2/4 - 11513*m/4 - 31691 = 0.
-11, 11524
Factor -5*k**2 + 8495440*k - 3608625039680.
-5*(k - 849544)**2
Solve n**3/4 - 29*n**2/2 + 367*n/4 - 255/2 = 0.
2, 5, 51
Factor -4*r**2 - 684752*r - 29305331344.
-4*(r + 85594)**2
Factor -14*w**4 + 9202*w**3 - 2628*w**2.
-2*w**2*(w - 657)*(7*w - 2)
Factor -2*v**2/5 + 6514*v.
-2*v*(v - 16285)/5
Suppose 2*v**5 + 10*v**4 - 80*v**2 - 160*v - 96 = 0. What is v?
-2, 3
Determine y so that -y**4/9 - 413*y**3/9 + 12848*y**2/9 + 4420*y/3 = 0.
-442, -1, 0, 30
Factor -f**2 - 472118*f.
-f*(f + 472118)
Suppose 4*n**5 + 36*n**4 - 236*n**3 - 276*n**2 + 1240*n + 1248 = 0. Calculate n.
-13, -2, -1, 3, 4
Factor 3395*b**2/2 - 3396*b + 2.
(b - 2)*(3395*b - 2)/2
Factor -k**3 - 425*k**2 + 1713*k - 1287.
-(k - 3)*(k - 1)*(k + 429)
Determine d so that 3*d**4/2 - 231*d**3/2 - 3675*d**2/2 - 13269*d/2 - 4914 = 0.
-9, -4, -1, 91
Determine n so that -n**4/11 + 211*n**3/11 - 6123*n**2/11 + 15057*n/11 + 624456/11 = 0.
-8, 21, 177
Suppose 6*r**4 - 129*r**3 + 849*r**2 - 1779*r + 693 = 0. What is r?
1/2, 3, 7, 11
Factor -4*m**2/5 + 26806*m/5 + 13404/5.
-2*(m - 6702)*(2*m + 1)/5
Let -3*m**2 - 1755*m - 17250 = 0. Calculate m.
-575, -10
Factor 12*k**5 + 112*k**4 + 264*k**3 + 240*k**2 + 76*k.
4*k*(k + 1)**3*(3*k + 19)
Factor -4*f**4 + 624*f**3 - 27192*f**2 + 218416*f - 191844.
-4*(f - 73)**2*(f - 9)*(f - 1)
Determine v, given that 15*v**4 - 49491*v**3 + 69255*v**2 + 9903*v - 29682 = 0.
-3/5, 1, 3298
Let 2*z**2/11 + 184388*z/11 + 4249866818/11 = 0. What is z?
-46097
Find m, given that 3*m**2/4 + 11907*m/2 - 23817/4 = 0.
-7939, 1
Factor -j**2/4 + 653*j/2.
-j*(j - 1306)/4
Suppose -3*v**5/2 + 300*v**4 + 4311*v**3/2 + 3732*v**2 - 1218*v - 4968 = 0. What is v?
-4, -2, 1, 207
Factor -h**4/3 + 348*h**3 - 2080*h**2 + 12464*h/3 - 2768.
-(h - 1038)*(h - 2)**3/3
Let 50*c**4/7 - 17796*c**3/7 + 51626*c**2/7 - 31056*c/7 - 2824/7 = 0. Calculate c.
-2/25, 1, 2, 353
Factor 2*i**2/7 + 118322*i/7 + 118320/7.
2*(i + 1)*(i + 59160)/7
Factor -27*k**2/8 - 242697*k/8 + 26967/4.
-3*(k + 8989)*(9*k - 2)/8
Factor -4*l**2 + 61936*l - 309580.
-4*(l - 15479)*(l - 5)
Factor m**3/8 - 289*m**2/2 + 13008*m - 305280.
(m - 1060)*(m - 48)**2/8
Solve -2*h**4/5 + 3162*h**3/5 + 60826*h**2/5 - 39234*h/5 - 757120 = 0 for h.
-13, 7, 1600
Suppose -4*z**2 + 8104*z + 8108 = 0. What is z?
-1, 2027
Factor -l**4/6 + 35*l**3/6 - 83*l**2/2 + 397*l/6 - 91/3.
-(l - 26)*(l - 7)*(l - 1)**2/6
Solve 9*x**2/2 + 7829*x/2 + 3476 = 0 for x.
-869, -8/9
Determine z so that -4*z**2/3 + 2740*z/3 + 62832 = 0.
-63, 748
Solve -3*k**4 + 541*k**3 + 37416*k**2 + 60476*k - 24336 = 0.
-52, -2, 1/3, 234
Factor -y**3/2 - 35*y**2 - 576*y + 1296.
-(y - 2)*(y + 36)**2/2
Factor -26*r**2 + 5152*r - 792.
-2*(r - 198)*(13*r - 2)
Factor -3*h**3/4 + 111*h**2/2 - 1248*h + 7680.
-3*(h - 32)**2*(h - 10)/4
Find o such that 3*o**3 + 5262*o**2 + 314712*o = 0.
-1692, -62, 0
Find q, given that -5*q**4 - 126780*q**3 - 380310*q**2 - 380300*q - 126765 = 0.
-25353, -1
Factor 3*l**3/4 - 6147*l**2/4 - 2582415*l/4 - 248370825/4.
3*(l - 2419)*(l + 185)**2/4
Determine c so that 12*c**5 + 16*c**4 - 1364*c**3 - 504*c**2 + 5264*c + 1760 = 0.
-11, -2, -1/3, 2, 10
Factor -4*z**2 + 81580*z - 244704.
-4*(z - 20392)*(z - 3)
Determine n so that 5*n**2/2 - 59365*n + 704840645/2 = 0.
11873
Determine y so that -5*y**5 - 7370*y**4 - 7365*y**3 = 0.
-1473, -1, 0
Determine a so that 675*a**3 + 26618535*a**2 - 3549147*a + 118305 = 0.
-39435, 1/15
Let -5*m**2 + 238640*m - 2847452480 = 0. Calculate m.
23864
Find g, given that -g**3/4 - 35*g**2/4 + 2413*g/4 - 26353/4 = 0.
-73, 19
Determine v, given that v**4 - 270982*v**3 + 18356727121*v**2 + 146866824360*v + 293742320400 = 0.
-4, 135495
Suppose -2*o**3/9 + 2192*o**2/9 + 4402*o/3 + 2204 = 0. What is o?
-3, 1102
Determine p so that -2*p**3 - 816*p**2 - 95370*p - 2377892 = 0.
-187, -34
Find n, given that -2*n**5/7 - 6*n**4 + 12524*n**3/7 + 37804*n**2/7 + 37878*n/7 + 12638/7 = 0.
-89, -1, 71
Let -3*d**4 - 12513*d**3 - 13313046*d**2 - 550567872*d - 1047983616 = 0. Calculate d.
-2064, -41, -2
Solve 2*h**2 - 11402*h + 68340 = 0.
6, 5695
Let 125*g**3/3 - 142025*g**2/3 - 398405*g/3 - 279055/3 = 0. Calculate g.
-7/5, 1139
Solve b**4/3 - 152*b**3/3 + 4565*b**2/3 + 26750*b/3 = 0 for b.
-5, 0, 50, 107
Solve 2*r**2/13 + 520748*r/13 + 33897309938/13 = 0.
-130187
What is p in 2*p**2/11 + 173942*p/11 = 0?
-86971, 0
Find r, given that 3*r**5/8 - 249*r**4/8 + 3291*r**3/8 - 16203*r**2/8 + 17019*r/4 - 3213 = 0.
2, 3, 7, 68
Suppose s**4/3 - 151*s**3 - 72376*s**2/3 + 24276*s = 0. What is s?
-126, 0, 1, 578
Suppose -2*p**4/9 + 110*p**3/9 - 1396*p**2/9 - 4928*p/9 + 15680/3 = 0. What is p?
-6, 5, 28
Factor j**3/4 + 29*j**2/2 - 9021*j + 17982.
(j - 162)*(j - 2)*(j + 222)/4
Find u, given that -3*u**4/5 + 786*u**3/5 - 46224*u**2/5 - 480858*u + 216832611/5 = 0.
-59, 107
What is c in 4*c**5 + 241*c**4 + 228*c**3 - 3910*c**2 + 2552*c + 885 = 0?
-59, -5, -1/4, 1, 3
Let -2*y**5/9 - 136*y**4/9 - 322*y**3/3 + 5096*y**2 - 24696*y = 0. Calculate y.
-42, 0, 7, 9
Factor -z**2 - 1667*z - 182782.
-(z + 118)*(z + 1549)
Solve 4*d**2/9 + 174944*d/3 + 1912837696 = 0.
-65604
Factor -z**2/3 + 6005*z/6 + 1001/2.
-(z - 3003)*(2*z + 1)/6
Determine t, given that -4*t**5 - 138*t**4 - 404*t**3 + 928*t**2 - 72*t - 310 = 0.
-31, -5, -1/2, 1
Let -o**2 - 23232*o - 23231 = 0. Calculate o.
-23231, -1
Determine u so that -2*u**3 - 286*u**2 - 844*u - 560 = 0.
-140, -2, -1
Solve -18*l**3 - 12075*l**2 + 2028*l + 10065 = 0 for l.
-671, -5/6, 1
Factor -5*k**2/4 + 380*k - 1500.
-5*(k - 300)*(k - 4)/4
Find z such that -9*z**2/2 - 32403*z - 21600 = 0.
-7200, -2/3
Factor -3*d**2 + 278*d - 184.
-(d - 92)*(3*d - 2)
Suppose k**2 + 213310*k + 11375289025 = 0. Calculate k.
-106655
Factor 343*s**4/9 - 32319763*s**3/3 - 27702710*s**2/3 - 23745196*s/9 - 251272.
(s - 282681)*(7*s + 2)**3/9
Suppose -15*h**2 - 214595*h + 143070 = 0. What is h?
-14307, 2/3
Solve -2*p**2/9 - 3412*p/9 + 6832/9 = 0.
-1708, 2
Factor o**3/4 - 15838*o**2 - 316835*o - 1584300.
(o - 63372)*(o + 10)**2/4
Factor 4*o**2/5 + 93676*o/5 + 187336/5.
4*(o + 2)*(o + 23417)/5
Solve -s**4/9 - 55*s**3/9 + 91*s**2 + 979*s/9 - 1742/9 = 0.
-67, -2, 1, 13
Suppose -r**4/5 + 87*r**3/5 + 7283*r**2/5 + 104457*r/5 - 111826/5 = 0. Calculate r.
-34, -23, 1, 143
Suppose 124*c**5/9 + 6208*c**4/9 - 6356*c**3/3 + 11888*c**2/9 + 848*c/9 = 0. What is c?
-53, -2/31, 0, 1, 2
Factor -430875*i**2 + i.
-i*(430875*i - 1)
Determine h, given that 5*h**3 - 5125*h**2 - 10265*h - 5135 = 0.
-1, 1027
Factor -2*v**3/3 + 22*v**2/3 + 152*v/3 + 128/3.
-2*(v - 16)*(v + 1)*(v + 4)/3
Factor 3*m**3/5 + 171*m**2/5 + 504*m + 2352/5.
3*(m + 1)*(m + 28)**2/5
Factor 3*m**2/5 - 581046*m/5 + 28134537843/5.
3*(m - 96841)**2/5
Suppose 4*a**2 - 70084*a + 70080 = 0. What is a?
1, 17520
Let 2*t**4/15 + 1112*t**3/5 - 668*t**2/3 - 1112*t/5 + 3338/15 = 0. Calculate t.
-1669, -1, 1
Factor 14*k**2/9 + 458*k/3 + 3128.
2*(k + 69)*(7*k + 204)/9
Factor -3*n**2 - 1041*n - 35226.
-3*(n + 38)*(n + 309)
Factor 4*v**2 + 6891288*v + 2968115643684.
4*(v + 861411)**2
Find t such that -t**5 - 7266*t**4 - 13198689*t**3 = 0.
-3633, 0
Factor r**3 + 142*r**2 - 1411*r - 7852.
(r - 13)*(r + 4)*(r + 151)
Factor -11858*c**2/5 + 151228*c/5 - 482162/5.
-2*(77*c - 491)**2/5
Factor 3*o**4 - 22038*o**3 - 198504*o**2 - 595674*o - 595755.
3*(o - 7355)*(o + 3)**3
Solve -3*j**3/7 - 60*j**2 - 903*j - 5904/7 = 0 for j.
-123, -16, -1
Determine v, given that -2*v**4 + 4038*v**3 - 2052240*v**2 + 14168504*v = 0.
0, 7, 1006
Suppose -m**4/4 + 180*m**3 + 4444*m**2 + 14880*m = 0. What is m?
-20, -4, 0, 744
Determine k, given that -k**4/3 - 20*k**3 - 291*k**2 - 814*k/3 = 0.
-37, -22, -1, 0
Find p, given that -p**4 - 95133*p**3 - 57